diff --git "a/data/dm_maths/full_data/11_11255.jsonl" "b/data/dm_maths/full_data/11_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/11_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: In base 15, what is -47 + c791?\nAnswer: c749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13919 is divided by 116.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of -4*t**3\/3 - 23*t**2\/2 - 9*t. Find the first derivative of g(b) wrt b.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36728 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 666 (base 7) in base 10?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*o = 250 + 102. Suppose -2 = -p, -h + o = -2*p - p. Suppose -5*j = -2*k + h - 185, -5*j = 3*k - 177. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/5 + 130\/25. Suppose -s*t = -11 - 9, -3*t = -x - 6. What are the prime factors of x\/(-4)*(-276)\/18?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1023 and 1023.\nAnswer: 1023","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -31*r - 3059. Calculate d(-97).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7)\/14 + 13\/2. Suppose -l*b + 1165 = -b. Suppose -7 = -4*v + b. Does 12 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -50*v - 1846. Let f be i(-37). Sort 5, f, 10, 0, -1 in ascending order.\nAnswer: -1, 0, f, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54\/5 - 27\/5*i + 3\/5*i**2 = 0.\nAnswer: 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-18 - -15) + 0 + 0. Let z be (i\/2)\/((-2)\/(-8)). Let l = z - -13. What is the second biggest value in -1\/3, -5\/4, l?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2492?\nAnswer: 2, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-36)\/3)*(6 + (-290)\/15)\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1907, 1905, 5703, 9481, 13233, 16953?\n\"Answer: -r**3 - r**2 + 3822*r - 5727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y**2 - 30*y - 238. Let i(d) = -3*d**2 - 37*d - 237. Determine 4*i(f) - 5*l(f).\nAnswer: -2*f**2 + 2*f + 242","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12 - -116203.19433?\nAnswer: 116203.31433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c**5 - 2*c + 2*c + (-19*c**3 + 7*c**3 - 198*c**3)*(0*c**2 + c**2 - 3*c**2).\nAnswer: 424*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 AM and 5:29 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 31760916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j - 3. Let z be a(0). Let m(d) be the third derivative of 2\/3*d**3 + 0*d - 1\/8*d**4 + 1\/30*d**5 - 23*d**2 + 1\/120*d**6 + 0. Give m(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 10*a**2 + 10364*a - 72619. Give w(7).\nAnswer: 419","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6717 + -6710. Let l(d) = 2*d**2 - d - 1. Let w(j) = -j**2 + 5*j - 5. Let q be w(4). Let x be l(q). Solve 3*r - x*a = b, -r - r + 4*a + 10 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*o - 10*o + 4*o - 10*o to x + c*o and give c.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 146144 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -4, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 66\/48*-6 + (-12 - -11). Is -10 at least as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 2*p - 1076104 = -1076052, -b + 3*p - 24 = 0 for b.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - 0)\/(9\/(-24)). Let y = -4 + u. List the prime factors of (-1)\/y + 26\/8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3705\/1482*-2*1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(65)\/(4*sqrt(5)*1) - ((sqrt(13) + 1 - sqrt(13)) + sqrt(13) + -1 + 4)**2).\nAnswer: -31 - 31*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 3*l + 4 - 48*l**2 + 58*l**2 in the form o + v*l**2 + f*l and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, a: 17}. Give prob of picking 1 m and 1 a.\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40929*n**3 + 144571*n**3 - 16035*n**3.\nAnswer: 169465*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 22*r**2 - 6*r + 6. Let f be -3 + -20*(-6)\/48*18\/(-15). Let v(a) = -21*a**2 + 5*a - 5. Determine f*v(b) - 5*s(b).\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -215 + 215 - 128*j**2 to the form k + z*j + n*j**2 and give n.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-1))\/(-1*3\/3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5700)\/476 - -12 - (635\/35 + -18)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -364677, -729350, -1094023, -1458696?\nAnswer: -1823369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14537*n**5 - 31*n**2 - 173*n + 1.\nAnswer: -872220*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 35686.9397 to the nearest ten.\nAnswer: 35690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 25*f**3 + 8*f**3 - 82*f**3 + (3*f**2 - 5*f**2 + 4*f**2)*(-f + 7 + 2*f - 11).\nAnswer: -47*f**3 - 8*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*b**3 + 10364 - 10364.\nAnswer: 17*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 31299347 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-40)*-5 + 2\/(-4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/8952 and -151\/258.\nAnswer: 384936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8 (b) -0.3 (c) 49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -3215000 to the nearest 100000.\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -87773 - -3.\nAnswer: -87770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbnvbnntvbbnbbnbbv. What is prob of picking 1 n and 1 b?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-two ninths of a week?\nAnswer: 24640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 + 54 = 15*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 59*p**2 + 63*p + 297. Let r be n(-58). Let l(v) = v + 8. Suppose -2*f + 21 = -5*f. Let q be l(f). Solve -q = 2*c + r for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -7*t**3 - 7*t**2 + 6*t + 22. Let s(v) = -20*v**3 - 20*v**2 + 17*v + 66. Determine -6*s(j) + 17*y(j).\nAnswer: j**3 + j**2 - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5, -19, -45, -83?\n\"Answer: -6*g**2 + 4*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 + -89. Let q = -77.17 - d. Which is greater: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73112344.\nAnswer: 2, 211, 43313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2273.649 days?\nAnswer: 196443273.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2907 + 909 = 111*u for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13449336 and 2682?\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 31976470 to the power of 1\/3, to the nearest integer?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -43 + 47. Solve 0*r = -r - w for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) - -5*-1*sqrt(110))\/(2*sqrt(1000)).\nAnswer: -sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - 16*r**2 - 37*r + 21. Give z(18).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1811?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -606 divided by 1?\nAnswer: -606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6700\/140 + 2\/14. Suppose 0*z = 4*z - 76. Let x = p - z. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4\/11*n**3 + 6\/11*n**2 + 0 + 0*n - 2\/11*n**4 = 0. Calculate n.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - q**2 - q + 295. What is the tens digit of n(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 3*j - j)*(-3*j**2 - 2*j**2 + 3*j**2) + (2*j - 4 + 4)*(11*j**2 - 15*j**2 + 32*j**2) - j**3 + 0*j**3 + 2*j**3.\nAnswer: 61*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/59367 and -20\/1631.\nAnswer: 13832511","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.04*-0.05\nAnswer: -0.002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 9)*(-9)\/(-18). Suppose -5*v = 3*g - 5*g - 245, o*g + 98 = 2*v. What is the remainder when v is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-3 + sqrt(2299))*-3 + (sqrt(1900) + 4 - sqrt(1900))**2 + sqrt(1900) + sqrt(171) + 1)*1.\nAnswer: -20*sqrt(19) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 82659 rounded to the nearest one hundred?\nAnswer: 82700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -1\/3 (b) 1\/2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10110010000 (base 2) in base 8?\nAnswer: -2620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-395)\/(-10))\/((-2)\/(-4))?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 3*s + 2, -r + 8 = r. Let b(l) = l**2 + 3*l + 7. Determine b(s).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 80 + -22 + 28 - (102 - 109)\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -133122 divided by -11.\nAnswer: 12102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 11. Let y = 3 + -8. Which is the closest to 2? (a) y (b) -1\/4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -19*t. Let k(d) = 2*d**2. Give k(u(w)).\nAnswer: 722*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 132101333 + 300202?\nAnswer: 133002201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 300 = 7*i - 17*i. Is -3 at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83032 is divided by 4151.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 74 (b) -0.4 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(35)\/(sqrt(7) + sqrt(175)) + 3 + 1)*3.\nAnswer: 3*sqrt(5) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23055*c + 23363*c = -10780 for c.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 20\/12) + (-5)\/(-3). Solve -a - 1 = -d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -319 + 21. Let l = v + 421. What is the greatest common factor of l and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/2)\/((-4)\/(-600)). Suppose 2*d = -5*a + v, 4*d = 2*a + 3*d - 39. Solve 5*i + a = -2*w, 2*i - 2*w = 3*w - 1 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 456672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7643\/53 or 0?\nAnswer: -7643\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.045 (b) 3 (c) 0.1 (d) 4 (e) 0 (f) -1579\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 1:37 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - u - 4*u)*(38 + 155 - 28).\nAnswer: -330*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 429 and 442845?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 12:03 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5*o + 2 = 0. Suppose -o = 4*t + l, -4*t - 3 + 7 = -4*l. Let c = t - 4. Let w(s) = s**3 + 3*s**2 - 6*s - 6. Calculate w(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29014 is divided by 248?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1205903, -1205887, -1205871, -1205855, -1205839, -1205823?\n\"Answer: 16*x - 1205919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.03 (b) -0.3 (c) -0.1 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -2\/9*d**3 + 2\/9*d - 4\/9*d**2 + 4\/9 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + -1. Let l = q + 12. Let t be l\/(-42) - 10\/(-15). Which is the closest to 2\/7? (a) t (b) -2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -164*q**2 - 19681*q - 254. Give x(-120).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (295\/(-20))\/((-447)\/(-1092) - 9\/21). What is the highest common divisor of a and 221?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-11)\/((g**(-14\/3)*g)\/g) assuming g is positive.\nAnswer: g**(-19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 4*v = 84, -2*h + 36 + 0 = 4*v. Let f(b) = b**3 - 7*b**2 + 9*b - 9. Let g be f(6). Let p = h - g. What are the prime factors of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*(u*u**4)\/u))**(-9)\/(u**21*u**(2\/5)) assuming u is positive.\nAnswer: u**(73\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89, -90, -93, -98, -105?\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -76 divided by 4095\nAnswer: -76\/4095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wkwiilww. Give prob of sequence wwkl.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -4*f - 10. What is u(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -3182*y**3\/3 + 259*y**2\/2 + 6928. Let c(l) = -37*l**2 + 3*l. Give -259*c(p) + 3*g(p).\nAnswer: 37*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - -80.933831434.\nAnswer: 80.833831434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5502604418.\nAnswer: 2, 2957, 930437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -36334 - -36333. Sort c, -286, 4, 0, -3 in descending order.\nAnswer: 4, 0, c, -3, -286","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -9 - 20 + 30 + 4*m. Determine s(-7).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 9*c. Suppose -3 = -u + 2*n - 5, 4*u = -3*n + 14. Suppose c*w = -u*w - z - 2, -8 = -5*w + 4*z. Solve w*y + 2 = -v + y, 5*v + 3*y = -18 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 59 - 59. Let h be (1\/(-6))\/((-23)\/138). Let p(y) = -y**3 + 2*y - 1. Let g be p(h). Solve g = s, -m - m + 4*s = x for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*t - 4*f, -t - f - 2*f + 24 = 0. Let z be -6*(1 - 24\/t). Suppose z = y + y. Sort 0.4, -1, y in ascending order.\nAnswer: -1, 0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 - 8*l**2 + 23*l + 193. Let w be g(-9). Solve -32 = -7*d - w for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14359?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -587, -1179, -1771?\nAnswer: -2363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.680251 rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 5*j + 5 = 0, -5*v + 14*j - 11*j + 5 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -4*z + 22. Let h(a) = -13*a + 65. Let n(d) = 2*h(d) - 7*m(d). Let k be n(0). Let f = k - -28. Solve -f*q - 7 - 7 = 3*t, -2*q - 6 = 2*t for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1107?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -120, -235, -328, -393, -424?\nAnswer: -415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = y - 1, 5*f - 25 - 2 = -3*y. Suppose -b - y*b = 0. Suppose t = -3*v - 5 + 29, b = -t - 3. Is 9 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 + k**2 - k**2)*(13829*k - 13829*k + 885*k**2).\nAnswer: -885*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29087 and 276399.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 432 and 612.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 21 = 2*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of 4*o**4 + 1397*o**3 + 0*o**4 - 3*o**4 - 101*o**2 + 160*o - 46 + 29*o**2 - 1389*o**3. Determine l, given that n(l) = 0.\nAnswer: -10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 98053241*r**2 - 595493102*r wrt r?\nAnswer: 196106482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4.85, -0.3, 972\/7 in ascending order.\nAnswer: -4.85, -0.3, 972\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 - 21. Let w = 18 + v. Is w a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 4*r = j + 8, 4*r = -5*j + 17 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -14, 2\/21, 2\/11, 0.2, -1\/12?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4420895?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26231?\nAnswer: 17, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a**11*a*a*a)\/a*a))**(-2\/15)\/(a*a*a**(3\/2)*a*a*a*a**(1\/2)*a*a))**(-1\/30) assuming a is positive.\nAnswer: a**(109\/450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.18 and 4.256757?\nAnswer: 4.436757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 18138*c + 54406. Give l(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1356 and 9831.\nAnswer: 39324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 1. Let y = j + 0.00002. What is y rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, -4, -0.2, 131?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -112041322 - -112041119.0000408. Let j = -203 - t. Round j to six dps.\nAnswer: -0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: -2688 divided by -224\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**2 + 2*z. Let h(p) = -2*p**2 - 3*p. Let d(f) = -2*h(f) - 3*w(f). Let t(b) be the first derivative of 0*b - 1\/2*b**2 + 1. What is d(t(a))?\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-270)\/180*-1*2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v**3 + 3*v**2 + 11*v - 4. Let r(n) = -2*n**3 + 4*n**2 + 12*n - 4. Let k(i) = -5*b(i) + 4*r(i). What are the prime factors of k(5)?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 149, 5, 7 in decreasing order.\nAnswer: 149, 7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*y + 32*y = 1896. Does 13 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/246600693 and 11\/164400462.\nAnswer: 493201386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 14*f**2 + 35*f + 16. Let n be b(-7). What is the highest common divisor of 1 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 235 + -191. Calculate the least common multiple of 96 and o.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-14)*a)\/a)\/a**(-5)*(a**(-3)*a)**(1\/2) assuming a is positive.\nAnswer: a**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 - 12 + 4)*(17*x**3 - 1458*x**2 + 1458*x**2).\nAnswer: -442*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {o: 10, b: 2}?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/1892676 and -45\/630892.\nAnswer: 1892676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + b + 50, -6*q + 50 = -q - 4*b. Is (-65)\/q*(2 - 46) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 67\/209 - 69029\/836. Suppose -5*m = 3*u - m - 250, -4*u + 324 = -4*m. Let k = u + z. Put -12, k, 1 in increasing order.\nAnswer: -12, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 6:13 AM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -173037, -172580, -171819, -170754, -169385?\nAnswer: -167712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 150.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1917472 is divided by 175?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -12*o**2 + 5*o - 4. What is w(3)?\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -3*x + 6, 0*x + 4*x + 2*t - 8 = 0. Let h(i) = 5 - i - 4 - 3 + 1. Let r(k) = 2. Give x*h(y) + r(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 times -16259.18\nAnswer: 325.1836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2600164 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -371 (base 9) to base 11\nAnswer: -25a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2360 + 570?\nAnswer: -1df0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + 2*i**2 - 3*i + 4. What is the remainder when 5 is divided by y(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5*(-50)\/625)\/((-24)\/(-50)).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 15 = -4*m - 3*s, -m + 11968 - 11958 = -4*s for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 643 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*i - 3*l - 7 = 70*i, 0 = -12*i - 5*l - 53 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6041000 rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c - 4. Suppose 213*w + 18 = 219*w. Calculate the lowest common multiple of z(6) and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 94 = -3*u, 8*g = 9*g + 2*u - 96. What is the remainder when g is divided by 51?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.5 (b) 1 (c) 6246408\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -10200 (base 5) to base 10\nAnswer: -675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 b when three letters picked without replacement from {z: 1, b: 12, o: 5}.\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 41 = -3*y, y = 9*o - 6*o - 51. Suppose 0 = -4*i - o + 28. What is the second biggest value in 8, 0, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ysyyyyyyss. Give prob of sequence sy.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/9*9\/2. Suppose 0 = 2*d - 4*g - 8, d + g = h + 1. Suppose -d*u = -712096 - 767904. What is u rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.23456993 and 0.01?\nAnswer: -0.0023456993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 933289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 12) to base 7\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 16) in base 4?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 4115 = -5*f, 3*f - 446 = -l + 357. Let z = l - 460. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 2*c = -72, p = 5*p + 3*c - 59. Suppose -1008*d + 6208 - 637 + 8927 - 386 = 0. What is the smallest common multiple of p and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56682057 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 168 and 462?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72 - (210 - 92) - (-18 - 0)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -924*l + 11752 = 49*l - 69*l for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 56798325 divided by 2115?\nAnswer: 26855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 16477 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3669 minus 4.6?\nAnswer: -3673.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of -c**5\/15 + 14*c**2 + 125*c. Let w(o) be the first derivative of p(o). Let g(i) = 3*i. Give g(w(q)).\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 5*f + 14 = 0. Let r(v) = -v**3 - 6*v**2 + 6*v - 5. Let b be r(f). Is 2*5\/b*1 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 0, -0.3, 1\/8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/12)\/((-14)\/(-819)). Suppose -s = 13*r + 13. Let x(o) = -3*o**2 - 1. Let f be x(-2). Put 2, f, -2, r in ascending order.\nAnswer: f, r, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30959 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 divided by 538?\nAnswer: -8\/269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 271 = 5*a, -4*a + 311 = -4*m + 91. Suppose -t - 118 = t - 2*z, 0 = -t - 2*z - a. Let u = t - -81. Is 12 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40 - 6 - (-1 + -170 + 47)\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42 + -27. Calculate the remainder when 74 is divided by q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3.3, 1\/6, 86, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-12) + (4 - 74\/16)*-2. Which is greater: p or 0.01537?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -280950, -561923, -842896, -1123869, -1404842?\nAnswer: -1685815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-260)\/400 - 4\/(-16).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2583083 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111000000 - 1000111011011?\nAnswer: -1001110011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/71 in -6, 0.5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 420 = -484. Suppose v = -26*g - 303. Let w(y) = -y**3 - 15*y**2 + 17*y + 4. What is w(g)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6668658307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1246203?\nAnswer: 3, 7, 131, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -577452, -577453, -577454, -577455, -577456, -577457?\n\"Answer: -n - 577451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.48 and 0.1.\nAnswer: -0.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1423*z**2 + 985*z**2 + 694*z**2.\nAnswer: 256*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 1:25 AM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2672650, -2672654, -2672658, -2672662, -2672666?\n\"Answer: -4*u - 2672646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -12 (b) -6 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, y: 2, r: 1, k: 1}. Give prob of sequence ka.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -209826*j**3 - 5*j**2 + 12*j + 11. Let c be v(-7). What is c rounded to the nearest 1000000?\nAnswer: 72000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and 48?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gqqgqqyqqyqqyyy. Give prob of picking 2 g.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 673309.\nAnswer: 7, 13, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-279)\/(-1395))\/((-2)\/18)?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 418 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 1, 91?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 72731.385 to the nearest 1000.\nAnswer: 73000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = k - 0. Suppose -3*x - t = -85, 2*x + 4*t = -0*t + 70. Let u be k\/x - (210\/27 + -1). Let i(s) = s**3 + 8*s**2 + 7*s + 4. What is i(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.13 + -0.13. Let b = 1 - 1. Let m be 7\/(-9)*468\/(-63) + -6. Sort m, b, o in ascending order.\nAnswer: m, b, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -884, -923, -982, -1061?\nAnswer: -1160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 95649 at most as big as 95826?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 3:37 AM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -294*x**3 - 153*x**2 wrt x?\nAnswer: -1764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 3*r. Let t(p) = -6*p + 4. Give t(n) + 6*u(n).\nAnswer: 12*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*z = -3*z + 10*z + 72 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 198212, 198485, 199218, 200639, 202976, 206457, 211310?\n\"Answer: 38*o**3 + 2*o**2 + o + 198171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4*b - 17 = 0, -7*l = -2*l - 3*b. Solve 0*o - l - 2*o**2 + 1 - 4*o = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0129685 to four decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - 6*i - 2. Let t be d(-5). Differentiate -12 - 2 + t - 11*a wrt a.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-113)\/(-113)*8*(77\/26 - 3).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + 7*g + 8. Let f be u(-6). Suppose 3*c - 4 = f. Let x be 0 + c + (-48)\/26. Which is smaller: x or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bllllbbllb. Give prob of picking 2 l and 1 b.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -0.2 (b) -15.89 (c) 3 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -0.1, 0.1, 4 in decreasing order.\nAnswer: 4, 2\/9, 0.1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -301145, -300782, -299803, -297902, -294773, -290110, -283607, -274958?\nAnswer: -263857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 3*t - 5*r - 13, -4*r - 8 = 0. Let f be 0\/7 + (-2)\/t. Let m = -284 - -288. Which is the closest to -0.2? (a) m (b) f (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 + 14*o + 5. Suppose -33 = -7*f + 2. Let d be (f\/(-10))\/((-2)\/(-52)). Calculate m(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 56 = -16. Let d = h + -33\/4. Which is greater: -0.5 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + d**2 - d + 1. Let r(v) = -3*v**3 + 4*v**2 - 4*v - 10. What is 2*g(b) - r(b)?\nAnswer: b**3 - 2*b**2 + 2*b + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*w - 23*w + 66. What is the remainder when 28 is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/27)\/(9\/((-108)\/8))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gnnynmnmynmytmmggn. Give prob of picking 1 y and 2 m.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 450 and 70?\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86623.\nAnswer: 29, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**5 + r**5 + 2*r**5 + 5*r**5 - 4*r**5 + 0*r**5 + (-64*r**3 - 61*r**3 + 60*r**3)*(r**2 - 3*r**2 + 4*r**2).\nAnswer: -128*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + -4 - (14 - (9 + 71 - -14))?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v**3 + 24*v**2 + 4. Let x(o) = -2*o**3 + 8*o**2 + 5*o + 8. Let u(y) = 3*y**2 - y - 1. Let n(z) = -5*u(z) - x(z). Calculate 6*n(g) + 5*t(g).\nAnswer: 2*g**3 - 18*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 3)*(22*t**4 + 6*t**5 - 22*t**4) + (t**2 + 2*t**4 - t**2)*(10 + 13 - 7 - t).\nAnswer: 10*t**5 + 32*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0032 or 17?\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7901*b**3*r**2 - 15*b**3 - 2906*b + r**2 - r wrt r.\nAnswer: 15802*b**3*r + 2*r - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -70\/417 and -14\/15?\nAnswer: 2085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4, 1.1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, -6, -2\/7, 0.22, -0.1 in decreasing order.\nAnswer: 0.22, -0.1, -2\/17, -2\/7, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -58 - -62. Factor -1\/2*j**2 + j**r + 1\/2*j**3 + 0 + 0*j.\nAnswer: j**2*(j + 1)*(2*j - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168 = -56*w - m, -16 + 7 = -3*w + 2*m for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(4\/7)*l**0)\/(l\/l**(2\/5)*l*(l**1\/l)\/l) assuming l is positive.\nAnswer: l**(-1\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.69227 to zero dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24989166 is divided by 2019?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267227 is divided by 7099.\nAnswer: 4564","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 5*a - 45. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z + 185*z**4 + 171*z**4 - 529*z**4 + 768*z**2 - 6*z**3 + 2*z + 172*z**4 in the form o*z**4 + m + n*z**2 + b*z + l*z**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q - 1. Let b be j(3). Suppose b*t + 0*t = 68. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**2 - 607*c + 293*c + 320*c - 2*c**2 + 3*c**2.\nAnswer: -2*c**2 + 6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -149*v + 146*v - 4*s + 5914, 0 = -2*s - 4. What is the hundreds digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 949*b - 4 - 1083*b + 1 + 3 to the form c*b + s and give c.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in one tenth of a second?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/10862 and 23\/6?\nAnswer: 32586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 51071306*p**2 + 2242*p - 2679.\nAnswer: 102142612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14515*x**2 - 52*x + 140.\nAnswer: 29030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 9, h: 2, y: 2}. What is prob of sequence yh?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15c (base 14) to base 2.\nAnswer: -100010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 3*o + 4*m, -4*o - 5*m + m = -80. Let n = 9 - 4. Let a be (-2 - (-28)\/10)*5. Solve z = -a*q - o, -n*q - 50 = -0*z + 5*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 567*r**3 + 2*r**2 - 12*r + 11. Let g be v(1). Let w = g - 568. Which is the closest to -9\/4? (a) -1\/7 (b) -5 (c) -1\/3 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1946, 3214, 5286, 8162?\n\"Answer: 402*b**2 + 62*b + 1482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*24\/15*(13 + -8). Let l(p) = 12 + p**2 + 0*p - v*p - 4. What is l(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1\/j**6*j**(4\/7)*j\/j**(-8))**(-24\/5) assuming j is positive.\nAnswer: j**(-768\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 - b**2 + 22)*(-1 - 4 + 3 + (3 - 4 + 5)*(3 - 2 - 4)) - 5*b**2 + 71*b - 39*b**2 - 73*b.\nAnswer: -30*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of -21*d**2\/2 - 5*d + 4. Is q(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 + -0.174.\nAnswer: 0.226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13497115299 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/54)\/(6\/((-90)\/25))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2100 (base 3) in base 12?\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -223201312, -446402627, -669603942?\n\"Answer: -223201315*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12048814 is divided by 312.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 - 460*o + 13. Calculate a(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 4\/2542337?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)*-1 - 2*sqrt(2736).\nAnswer: -27*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 641 is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 10*r - 18. Let a(z) = -12*z + 17. Let j(b) = 4*a(b) + 5*t(b). Calculate the least common multiple of j(14) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -93 + 87. Let h = -2.1 - -2. Which is the closest to h? (a) 1 (b) x (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -3*n**4 + 8*n**3 - 12*n**2 + 6*n - 1. Let o(i) = 24*i - 48*i**2 + 30*i**3 + i**3 + 3 - 7 - 12*i**4. Let b(c) = -4*o(c) + 18*q(c). Factor b(v).\nAnswer: -2*(v - 1)**3*(3*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 128269644?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26692 and 60?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 89.4722 litres?\nAnswer: 89472.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 542508 is divided by 2934.\nAnswer: 2652","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 5*v**2 - 4260*v + 349600 = 0.\nAnswer: 92, 760","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11136811 and 1941.\nAnswer: 33410433","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 32\/5 of a gram?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4332420 a multiple of 678?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5176 + 9457. List the prime factors of h.\nAnswer: 3, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -74.22 - -75. Let l = i - 0.68. Which is the nearest to 5\/4? (a) l (b) 0.3 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*n**3*t + 2*n**2*t + 205304*n**2 - 7765*n*t - 55*n wrt n?\nAnswer: -18*n*t + 4*t + 410608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1098 and 842166?\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.538 - 4.038. Which is the third smallest value? (a) -4\/21 (b) -3 (c) 1 (d) r (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(288)*2)**2 - -3*sqrt(128)*-6.\nAnswer: -144*sqrt(2) + 1153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 312 (base 4) to base 9\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3*d + 2 + (0*d + 0*d - d)*(1 + 1 - 5))*(d + 0*d + d)*(-9 - 63 + 14)*(3 - 13 + 5) in the form f*d**2 + h + m*d and give f.\nAnswer: 3480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.21, -1\/11, 5, -2\/35?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 - (-23 - -74 - 16 - 3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ce when two letters picked without replacement from cebccecebbcec.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 4*k**3 - k + 1. Let u be (1*(-1)\/(-2))\/((-14)\/(-140)). Suppose 0 = 3*z - u*g - 6 - 0, -4 = -2*z - 5*g. What is the tens digit of i(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2426*w**4 + 2*w**3 + w**2 + 1096 wrt w?\nAnswer: -9704*w**3 + 6*w**2 + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.002 * -4.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7 - 2 - (-1)\/1. Let n = f + -5. Let g(l) = 5*l**2 - l. Let i be g(n). Solve 23 = -2*m - 5*x, -8 = 3*m + 2*m - i*x for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/10 in 5, 12\/145, -0.043?\nAnswer: 12\/145","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 7. Let n be ((-2)\/4)\/(2\/(-72)). Let s = n - v. Calculate the least common multiple of s and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 4.63124 and 0.4.\nAnswer: 5.03124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10\/3, 3, 12794, 6\/5 in descending order.\nAnswer: 12794, 10\/3, 3, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y - 2 + 12 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 - 24. Let n(x) = -x**3 + 2*x**2 + x. What is n(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, 0, 2\/11, -0.4 in ascending order.\nAnswer: -0.4, -1\/6, 0, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u**5 + 1655*u**4 + 11425*u**3 + 9625*u**2 - 16540*u - 6180 = 0. Calculate u.\nAnswer: -103, -6, -2, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 2*f - 4254870 = 15005132, 4*t = -f - 25680001. What is t rounded to the nearest one hundred thousand?\nAnswer: -6400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 - 165 = -5*t - 2*j, 0 = 2*t - j - 51. What is the highest common factor of 24 and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, -5, -0.25447, 0.049?\nAnswer: 0.049","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1104 is divided by 77?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 476*g**3 - 13*g - 21. Let r(f) = -239*f**3 + 7*f + 10. Let a(u) = -6*i(u) - 11*r(u). Find the second derivative of a(b) wrt b.\nAnswer: -1362*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 12 = -h. Suppose 8*q = h*q + 1285. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 17857*i**3 + 27*i**2 - 9*i + 17. Let b(x) = -4464*x**3 - 6*x**2 + 2*x - 4. What is -9*b(v) - 2*j(v)?\nAnswer: 4462*v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211110100212000 (base 3) to base 6.\nAnswer: -1103451000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.01 + -3.51. Let q = 3 + t. Let d = -872\/4005 - 2\/445. Which is the second smallest value? (a) q (b) d (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.774 to the nearest integer.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7436466299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 4*k + 158 = 156, 12*a + 28 = -2*k for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-100)\/24)\/5*8\/(-60).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.049254 and 6.\nAnswer: 6.049254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**2 - 6*m + 3. What is the remainder when y(-6) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*j + 5*j + 18. Find the third derivative of -10*x + 8*x**5 + 4*x + 5*x**2 + j*x wrt x.\nAnswer: 480*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 29*r + 24. Let g be u(-6). Let f = -99 - g. Is f a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*h - 13*h**2 + 20*h**2 - 10 - 10*h**2)*(1 - 1 + 1) to n*h + w + t*h**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 + -51. Let j = 74.9921 + i. Round j to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by 7357664.\nAnswer: -1\/919708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3250*-0.1.\nAnswer: -325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 229*i. Let g(l) = -22019*l. Give g(p(a)).\nAnswer: -5042351*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*((-184)\/(-8))\/23?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 5\/6 (c) 2 (d) 0 (e) 2\/9 (f) 125\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.3 (b) 2.365 (c) 0.6 (d) -0.4 (e) -0.5 (f) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddaaa. Give prob of picking 1 a and 2 d.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 15*h + 29*h - 1 in the form w*h + g and give w.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 - 3. Suppose -2*a = -4*a + 88. Let p = 47 - a. Give r(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three fifths of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -69, -126, -3, -0.06 in decreasing order.\nAnswer: -0.06, -1, -3, -69, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15 + 8.26?\nAnswer: 8.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6805384539 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 PM and 4:35 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -0.21, 0.6, 195\/8, -5, -4, 43?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/93)*t**12)**(-5))**(4\/5) assuming t is positive.\nAnswer: t**(-4456\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 i, and 1 m when three letters picked without replacement from mxxmmxxmmmmix?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 38440079?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/58 - -237\/290. Is 89\/2 less than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3061.1 - -3248. Let p = -254 - -457. Let m = p - f. What is m rounded to zero decimal places?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 871?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -9.9 (b) -0.1 (c) 0.3 (d) 128\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven halves of a century?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 54109 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 79425423?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1989, 16569, 56147, 133221, 260289, 449849, 714399, 1066437?\n\"Answer: 2083*n**3 + n**2 - 4*n - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-135)*45)\/((-7)\/(630\/25))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (163\/(-3))\/(58\/(-174)). Let c = m - 156. Solve -10*s = -c*s + 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 8*q**2 - 8*q - 1. Let b be a(-7). Let z = b - 3. Determine i, given that -i**3 - 8*i + 13*i**2 - 5*i**z + i**4 - 4*i + 4 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000106449 to six decimal places.\nAnswer: 0.000106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(76))**2*1.\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1810.42 + -1810. What is the fourth smallest value in -2, b, 0, -0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1029384 divided by -6\nAnswer: -171564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -9*d**2 + 7*d. Let o(b) = b**2 + 13*b + 5. Let p be o(-12). Let w(u) = -5*u**2 + 4*u. Give p*w(q) + 4*m(q).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -1 - 46*a + 1 + 47*a. Calculate k(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t**4 - 11425192*t**3 - 22850400*t**2 = 0.\nAnswer: -2, 0, 2856300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 93*b + 93. Let k be u(-1). Suppose k*q - 4\/7*q**5 + 0*q**2 - 8\/7*q**3 + 0 - 12\/7*q**4 = 0. What is q?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120*v**3 + 58*v**3 + 60*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 15 = -8*f + 9*f, -5*k + 15 = 2*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*v - 6*v + 21*v + 4242.\nAnswer: 28*v + 4242","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3400 and 140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**5 + 0*d**5 - d**5 + (0*d**3 - 6*d**3 + 4*d**3)*(-3*d - 2*d**2 + 3*d) + 3*d**5 - 14*d**5 + 5*d**5 - d**4 + d**4 - 2*d**5.\nAnswer: -3*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4051*g**3*p**3 - g**3*p**2 + 7671*p**3 wrt g.\nAnswer: -12153*g**2*p**3 - 3*g**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -68*y**5 + 16789*y**2 + 2421318*y.\nAnswer: -1360*y**3 + 33578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 31*g**4 - 7*g**3 - 473*g**2?\nAnswer: 744*g - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 13. Put -8, 1, f in ascending order.\nAnswer: -8, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44, -80, -138, -218?\nAnswer: -320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i**3 - 7*i**2 - 10*i - 22. What are the prime factors of z(-7)?\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 279 + -3071\/11. Put -2\/7, m, -2 in decreasing order.\nAnswer: m, -2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - -1 - (-4 + -3 - -7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 18 = -0*w - 3*o, 42 = 5*w + 3*o. Suppose 0 = 3*s - w. Let f = -4 + 9. Which is the closest to -0.1? (a) s (b) f (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x + 382 - 382 = -13*x. Suppose 5*f + 7*c = 4*c - 22, 5*f = -4*c - 21. Sort x, f, 2, -3 in descending order.\nAnswer: 2, x, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/4)\/((-417)\/(-834))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12755 - -13386. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 39981, 160787, 362425, 644895, 1008197?\n\"Answer: 40416*s**2 - 442*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006045 to 5 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1326902363 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-136)\/(-51))\/((-28)\/210)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.135 + 0.23. Let m = -0.0950179 + q. What is m rounded to 6 dps?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 91288?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6866 divided by -1.\nAnswer: -6866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92390530?\nAnswer: 2, 5, 9239053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -4*h - 10. Let i(k) = -3*k - 8. Let z(q) = 4*c(q) - 5*i(q). Let g(n) = 2*n**2 + 3*n. Give z(g(u)).\nAnswer: -2*u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = j + 4*w, j - 13 = w - 9 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 158*p**2 - 27 + 6 - 133*p**2 + 18 + 57*p**2.\nAnswer: -234*p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*o**2 + 7*o**4 - o**3 + 0 + 2 - 13*o**2 + 0*o**3 to k*o**4 + j*o**3 + d*o + u*o**2 + a and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p**2 + 5668*p\/3 + 90 = 0. Calculate p.\nAnswer: -1\/21, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 31\/6 of a year?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ar when two letters picked without replacement from attaarartaatcr.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 5.1. Let q = 0.7 - x. Let m = 0.3 - q. Do 0.1 and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x**2 - 2*x + 1. Let c be u(1). Suppose c*o = 3*h - 75, 5*o = 12 + 3. Let g = h + -41. Is g != -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2 + 57*b - 110.\nAnswer: -(b - 55)*(b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 4309526?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3366644 by -1683322.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 454027580*a*z**2 + 408900227*z**2 wrt a?\nAnswer: 454027580*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 10:13 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 5*j - 41, -2*j + 20 = 4*u - 6. Let a(y) be the second derivative of 1\/20*y**j + 0*y**2 - 1\/6*y**4 + 1\/6*y**3 + 14*y + 0. Factor a(f).\nAnswer: f*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 256011?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 - -12220?\nAnswer: 12231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -21, -61, -123, -207?\n\"Answer: -11*l**2 - 7*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(5\/3)*(x\/(x\/(x*(x\/(x\/(x**(1\/8)\/x)*x))\/x)))\/x)\/(x*x**(-1\/8)*x**2) assuming x is positive.\nAnswer: x**(-49\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 3*q = -4*r + 33, 4*q = -r + 32. Let h = r + -9. Suppose 2*j - 3 = h. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 5*g - 15 = -0*b, 5*g = 15. Suppose 62*u - 58*u - 548 = b. Calculate the remainder when u is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 2*j + 0*j)*(87 - 87 - 12*j).\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 14) in base 7?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 6:45 AM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 5) to base 2.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -8) + -5 + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1192242.\nAnswer: 2, 3, 109, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.713 + -0.123. Let t = 0.49 - c. What is the nearest to -1\/3 in -3, -1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of -9*u**3 + 0 - 1\/10*u**5 + 27*u**2 + 3\/2*u**4 + 4*u. Factor s(m).\nAnswer: -2*(m - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -151.9 - -152. Sort 0, s, 3, 5 in increasing order.\nAnswer: 0, s, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 + 44*u - 36. Determine c(44).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1341, 1385, 1429, 1473?\nAnswer: 1517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, k: 1, c: 4}. Give prob of picking 1 k and 2 c.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 78, -35 in descending order.\nAnswer: 78, -1, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/21*(-93)\/(-31).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r - 1. Let a(f) = -f**2 + 2*f - 2. Let w(d) = 2*a(d) - 4*c(d). Let j(o) = 2*o**2. Determine w(j(g)).\nAnswer: -8*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -83613 + 126423. Suppose a - 42804 = -5*z, -7*z - h = -12*z + 5*a. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 10*b + 19. Let r(o) = -9*o - 23. Let z(y) = -6*h(y) - 5*r(y). Let p(c) = 7*c - 1. Give 9*p(f) + 4*z(f).\nAnswer: 3*f - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 27 - 12 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 4*m**2. Let v(h) = 23*h**2 + 3*h - 3. Let t(l) = 23*l**2 + 2*l - 2. Let b(n) = 3*t(n) - 2*v(n). Calculate k(b(y)).\nAnswer: 2116*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (64\/(-24))\/(4\/(-6)). Solve -26 = u*r - z - 4*z, 0 = 5*r + 4*z + 12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2183 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 789713754 a multiple of 160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -28923, -30451, -32999, -36567, -41155?\n\"Answer: -510*i**2 + 2*i - 28415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3cca4 + -349?\nAnswer: -3d20d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4242 is divided by 226?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 4:24 AM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -274, -2, 7541 in descending order.\nAnswer: 7541, 0, -2, -274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 u, and 1 h when three letters picked without replacement from {z: 1, f: 1, p: 2, u: 12, h: 1}.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 5*b = -22, y + 20*b - 13 = 15*b for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 3. Let v be 2*(-2)\/u*5. Let k = -2 - v. Is k a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of -g**6\/30 - 2*g**5\/3 + g**4\/6 + 20*g**3\/3 - 22*g**2 + 2. What is n in v(n) = 0?\nAnswer: -10, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m - 6. Let f(z) = 3*z + 15. Let b be f(-6). Let u be d(b). Let g(i) = -32*i - 9. What is the tens digit of g(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 23 in descending order.\nAnswer: 23, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3865)\/(-25) + 3\/(-5). Let d = -231\/2 + y. Find the common denominator of -17\/2 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3951 + -3967. Which is the third smallest value? (a) 1 (b) 1\/9 (c) 0.3 (d) -2\/3 (e) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -3*sqrt(768) + 3)**2.\nAnswer: 192*sqrt(3) + 6916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 86, 103, 122, 143, 166, 191, 218?\n\"Answer: h**2 + 14*h + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.8 (b) 2\/5 (c) 7 (d) -4 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/14)\/((-18)\/50) + (73 - 68)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -285 - -287. Suppose -3*j + n*o + o = -132489, -4 = o. Is j 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 38 and 7505?\nAnswer: 15010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -17\/4 (b) -1\/4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 - 4 - 12 + 3*j**2 + 2*j**3 - 12*j**2 - 2*j as v + f*j**2 + c*j**3 + p*j and give f.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/4)\/(12*(-9)\/144).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 131 divided by 5?\nAnswer: 131\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -121.4 - -112. Let w = 0.5 + t. What is w rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -790666 less than 0.35?\nAnswer: 790666.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 31, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 342633606?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14 + 4 - t**3 - 492632*t**2 - 4*t + 492658*t**2 + (-3*t + 3*t - 2*t)*(3*t**2 - 2*t**2 - 3*t**2) + 3*t**3 + 0*t**3 - 4*t**3.\nAnswer: 2*t**3 + 26*t**2 - 4*t - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 171 - 192.2. Let w = -21 - j. Which is the biggest value? (a) w (b) -5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -321*c + 18*c**2 + 321*c + (-2*c + c + 2*c)*(0 + 3*c + 0).\nAnswer: 21*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*i + 85*i = 32 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 4*a**3 - 4*a**2 + 2*a - 2. Let c(r) = -3*r**3 + 3*r**2 - r + 2. Let h(j) = 3*c(j) + 2*k(j). Let x be h(0). Solve -x*d = -4*d - 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(7) - sqrt(112)))**2*1.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - 4830\/(-45) - 4\/3. Suppose r = 3*s - 566. Is 28 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -411991 times -12?\nAnswer: 4943892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, -4, -26, -46, -58, -56, -34?\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26980?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2456846830?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3642 + 4329. Is 12 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 PM and 5:12 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p - 4. Let m = 19 + -49. Let t be 1\/(m\/27 + 1). Let y be n(t). Which is the third smallest value? (a) 0.1 (b) 1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3164 + 3255. Solve -79 = 6*v - z for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -429 - -434. Suppose 5*h - 2*v - 75597 = 0, b*h - 64448 = -5*v + 11177. Is h 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 in 1, 0.1, 117.68?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 784*d + 894.\nAnswer: 784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3788 and 772?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3186 and 10443?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 180?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 1, 16.563, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + k = -0*k - 11, -2*k = 8. Find the second derivative of -3*j**5 + 5*j + 2*j**5 - d*j wrt j.\nAnswer: -20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -3*a**3 + 0*a**3 - 2*a**2 - a**3 + 3*a**3 - a. Let i be j(-2). Let o(z) = 3 - 2 - 2 + z**i - 8*z. Determine o(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*b = -25*b + 968994. Suppose -7*a = 2*g - 2*a - 645990, a = -g + b. What is g rounded to the nearest ten thousand?\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -266 - -269. Suppose 5*p + 5*j - 10 = 0, -5*p - 4*j + 8 = -j. Let q = -1\/479 + -949\/4311. Which is the nearest to p? (a) q (b) s (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14330 - 7185 + 71*d**3 - 51*d**3 - 7145.\nAnswer: 20*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -333*x + 4661. Calculate l(14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**3 + o**3 - 4*o**3)*(-2*o**2 + 3*o**2 + o**2) - 33*o**2 + 11*o**5 + 33*o**2 - 2*o**4.\nAnswer: 9*o**5 - 2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 5*r + r - 55 = 0, 5*k - 25 = -2*r. Let v = k + -2. Sort v, 0, 3 in descending order.\nAnswer: v, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*q**3 + 1858 - 1858 - 29*q**2 + 29*q**2.\nAnswer: 31*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 74989\/12 - 6242. Let i be 3\/(-2)*42*8\/36. Find the common denominator of c and 1\/((-132)\/(-15)) - (-14 - i).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - 9 - -5 - (4 - 12).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2905962 litres to millilitres.\nAnswer: 290.5962","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - -0.31.\nAnswer: -15.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 95 + -49. Let v = d + -20. Let j = v + -16. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*a + 26*a - 94*a + 72*a**2 - 538*a**2 + 34*a.\nAnswer: -466*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 133, 5, 79, 2, 3, 8 in decreasing order.\nAnswer: 133, 79, 8, 5, 3, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*u**2*y**3 + 188141*u**2*y - 2*u - 1148441*y**3 - 31*y**2 wrt y?\nAnswer: 18*u**2 - 6890646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*s = 54*s + 980 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -116? (a) -1 (b) 33 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 12. Let a be u\/3*-3 + 16. Let q = 42 - a. What are the prime factors of q?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19c0 (base 15) in base 2?\nAnswer: -1010111001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of f**4\/4 - 10*f**3\/3 - 5*f**2 - 13*f + 126. Let q be i(11). Let h(v) = v. Determine h(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -595*r + 601. Let m be z(1). Solve -m = w - 2*i, 78 - 94 = -4*i for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 148780273?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1233?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3240149309 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1577 - -1577. Find l, given that u + 1\/2*l**2 - 1\/2*l**3 - 1\/6*l + 1\/6*l**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1148587 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tnrnnrn. What is prob of sequence rn?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 15 - 39 = 0. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express o - 4*o + 2*o - 24*o in the form k*o + q and give k.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1645 + 3293 - 23249*i - 68982*i - 1648.\nAnswer: -92231*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 597 is divided by 187?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18935*u**5 - 133*u**4 - 7376240*u wrt u.\nAnswer: 378700*u**3 - 1596*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of q**8\/560 + q**6\/180 + q**3\/3 - 2. Let u(s) be the third derivative of t(s). Find the third derivative of u(m) wrt m.\nAnswer: 72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 12, -4*j + s + 16 = 5. Let w(o) = -o**2 + 2*o**j + 0*o**2 + 5*o - 10 + 0*o. Determine w(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 463*b**2 + 8*b + 5 - 9*b - 443*b**2 as l + p*b + h*b**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(44)*2 + 2 + (sqrt(11) - sqrt(55)\/sqrt(5))**2 + 0).\nAnswer: -8*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 102, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 109*x**5*y - 10*x**4*y**2 + 2010*x**2*y + 2*x*y**2 wrt x?\nAnswer: 6540*x**2*y - 240*x*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -17, -5, -10?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of 139*u**7\/70 - 81*u**5\/20 + u**4\/24 - 781*u**2. What is the third derivative of p(n) wrt n?\nAnswer: 10008*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of s**2\/2 - s. Let o(k) = k - 29. Let z(x) = -7. Let h(i) = 2*o(i) - 9*z(i). Determine h(c) - 5*l(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 979?\nAnswer: 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 + 9*i**2 + 9*i - 4. Let f(y) = 2*y**2 + 2*y - 1. Let v(d) = 9*f(d) - 2*q(d). Differentiate v(x) with respect to x.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2*d + 4, -s - 3*s = -4*d. Suppose d*l + 10 = 2*l. Put 3, l, -8 in increasing order.\nAnswer: -8, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 252*q**3 + 65 wrt q?\nAnswer: 756*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -56 + 37. Let h = l - -22. Solve -i**5 + i**2 - 1 + 1 - 99*i**4 + 98*i**4 + i**h = 0 for i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of 0 + 0*u + 2*u**2 + 1\/24*u**4 - 1\/6*u**3. Suppose 0 = -2*k - d - 3, 37 = -0*k - 3*k + 5*d. Determine m(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1612609 to the power of 1\/3, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 673 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k**5 + 70*k**4 + 93*k**3 - 3052*k**2 - 8788*k - 5712 = 0. Calculate k.\nAnswer: -68, -6, -2, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13466 + -3829. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87748 is divided by 43858.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-5)*l)\/l**2*l*(l\/(l\/(l*l\/(l**(-7)\/l*l)))*l)\/l*l**(-3))\/(((l\/(l**(1\/2)\/l))\/(l\/(l\/l**(-1\/5))))\/(l**(-2\/5)*l)**(-1\/6)) assuming l is positive.\nAnswer: l**(-4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = -12*w + 7*w. Let l = w + 20. Suppose -7*a = -l*a + 130. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4098787 is divided by 837?\nAnswer: 835","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0207 - 1.0207. Let z = -380\/3 + 125. Suppose 10 = -5*u + 5*l, 4 + 4 = -u - 2*l. What is the third smallest value in i, -4\/5, u, z?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73660203.\nAnswer: 3, 29, 367, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 i when three letters picked without replacement from {s: 2, t: 7, i: 5}.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/8*24\/9. Let j be ((-10)\/q)\/((-4)\/104). Suppose 4*y - j = -1. Does 16 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4.2, 192 in descending order.\nAnswer: 192, -1, -4.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 148 + -148.157. Let n = 8.457 + q. Let v = n - 15.9. Round v to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28043501?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + 9*i**2 - 16. Let r(c) = -c - 1. Let d be r(1). Let t(k) = 3*k. Let f be t(d). Does 23 divide j(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - 9*c + 3. Let l be y(6). Let h be (-1)\/(-3) - 100\/l. Let k = 27 - h. What is the remainder when 57 is divided by k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -60, -94, -130, -168, -208, -250?\nAnswer: -294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -2\/3 (c) -1 (d) -0.04 (e) -3\/4 (f) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 1 + 3)*(67 - 223 - 33)*(c**2 - c**2 - c**5).\nAnswer: -1323*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*j**2\/5 + 17826*j\/5 + 5943\/5.\nAnswer: -3*(j - 1981)*(3*j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 80, 158, 292, 500, 800, 1210, 1748?\nAnswer: 2432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -366 less than or equal to -363?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 14. Let z be 2\/4*244\/2. Let g be z*1 - (-3 + 1). Calculate the highest common divisor of f and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -3*k - 2*k - 6 + 0 + 2. Let l = 53 - 43. What is the smallest common multiple of t(-3) and l?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -43717 - 1034?\nAnswer: -44750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1326103 (base 9) to base 13.\nAnswer: 1c56b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -165 - -164.8. Let y = 377\/1104 - 3\/368. Which is the closest to 8? (a) y (b) -7 (c) x (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6083847 and 0.\nAnswer: -6083847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 4 + 8*p + 9*p - 3 - 12*p. What is z(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1251057583?\nAnswer: 1251057583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11234 (base 5) in base 6?\nAnswer: 3443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 e when four letters picked without replacement from feff?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (23\/(-5))\/(6\/(-30)). Let h = x + -21. Suppose -o + 3*o = -5*k + 423, 2*o = h*k - 172. Is 17 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2003.393kg to micrograms.\nAnswer: 2003393000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6406 - -144?\nAnswer: -6242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 199 + 4c07?\nAnswer: 4da1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let b be (-502)\/4*-54 - 3. Let x be (b\/(-2664))\/((-1)\/(-2)). Let m = 13\/296 + x. What is the common denominator of m and -67\/33?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1724*h**5 + 1781*h**3 + 436915*h - 1 wrt h.\nAnswer: -34480*h**3 + 10686*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2133\/10 + -1074\/5. Which is smaller: o or 123?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -17 + (-3020)\/(-180) + (-47810)\/(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3108 = -124*c + 148*c + 124*c for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 44 + 63. Suppose 3*l = 2*v + 2*v + 502, -691 = -4*l + v. Let a = l - q. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 0.4 (b) 0 (c) 2\/33 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 87\/5 of a millimeter?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*f**3 + 6*f**3 - 59*f**3.\nAnswer: -62*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/((g\/(g\/g**(8\/5)*g*g))\/g)*g*g**(5\/7) assuming g is positive.\nAnswer: g**(144\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2560, -5104, -7610, -10078, -12508, -14900?\n\"Answer: 19*j**2 - 2601*j + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 348 + -322.06. Let h = 31.1 - i. Let w = h - 5. Is -1 > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1776282, -1776261, -1776228, -1776183?\n\"Answer: 6*p**2 + 3*p - 1776291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26443 + 31744. Is q smaller than 5299?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1\/14, 1.\nAnswer: -3, 1\/14, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 556 + -553. Let y = 0.9 + -1.2. What is the nearest to 0.1 in s, 8, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7770)\/(-296) - 11 - 11\/4.\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*q = -62*q - 19. What is the remainder when 110 is divided by q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4066443367 and -399?\nAnswer: 4066442968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 3313*j + 822*j - 897*j - 1 as v + p*j and give p.\nAnswer: 3238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 259 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 711682 is divided by 160.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 - 147a8?\nAnswer: -147a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1320.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -955 (c) 2064 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**2 - 4*l - 21. Let t be p(4). Put 0, t, 5, 71 in decreasing order.\nAnswer: 71, 5, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*p - 44*p + 3895 = 0. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - -16. Suppose -5 = -2*s + 1. Calculate the highest common divisor of s and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -108 + 110. Suppose -q*h = h + 5*d + 36, 0 = 2*d. Is -11 <= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2295 and 3162?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 5:27 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*w**3 - 40379857589*w + 40379857589*w.\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1082, -1081, -1078, -1073, -1066?\nAnswer: -1057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.1? (a) 1\/3 (b) 1 (c) -2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72, 221, 476, 849, 1352, 1997, 2796?\nAnswer: 3761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.56 - 0.63. Put -5, 0, q in descending order.\nAnswer: 0, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 231 = -5*b, 11*a + 655*b - 81 - 49 = 657*b for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 12 = 3*n. Let y(u) = -u + 4. What is y(n)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45 - -59) + -84 - 47.\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8358?\nAnswer: 2, 3, 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 329451924527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - -1. Suppose -2*n + 64 = 2*n + 4*y, 2*n - 3*y = t. Let m = 32 - n. Is 11 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -615 - -646. Suppose -12*y = -i*y + 874. What is the remainder when y is divided by 39?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1848070 is divided by 99?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 13 = -41. Let i = -29 + 31. What is the third derivative of -v**4 - 12*v**6 + v**4 + p*v**i - 2*v**2 wrt v?\nAnswer: -1440*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, i: 9}. Give prob of picking 2 g.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5347*r + 5295*r + 9620 = 0. Solve h - 186 = 3*b - r, -3*b + 4 = -2*h for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -4 (c) 13 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(156) - -6*(((sqrt(156)*1 - sqrt(156)) + sqrt(156) - sqrt(156)) + sqrt(156)))\/(sqrt(12) - (sqrt(12) - sqrt(36)\/(sqrt(3)*1))))**2.\nAnswer: 633","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -81*u**2 - 58*u - 68. Let v(d) = -25*d**2 - 19*d - 23. Let w(z) = -4*q(z) + 13*v(z). Calculate w(-13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -142 - -142.3. Let x = 2036 + -2034. Let p = -10 + 15. Which is the closest to x? (a) 3 (b) u (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -283 or -142386\/505?\nAnswer: -142386\/505","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2549 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (3 + -4 - 2) + -1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 628*q + 674 wrt q?\nAnswer: 628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, -14, 21, -1, 22, 4 in decreasing order.\nAnswer: 24, 22, 21, 4, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 4*h - 5*a, -6 = 4*h + 12*a - 11*a for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/118215 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 273*i + 470 = 3252 + 1586 for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18861841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine thirds of a year in months?\nAnswer: 116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-36))\/(((-8)\/(-18))\/((-8)\/(-4)))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -112*t + 1. Let m be a(-2). Suppose 65 + m = 5*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 246*i - 3438. Let t be g(14). Solve 0 = -k + 3*z + 9, -7*k - t = -2*k + 2*z for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2*c + 5)*(3031384*c - 1681*c**2 - 3031384*c).\nAnswer: 3362*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6807 + 6806.92. Let i = -239\/78 - -42\/13. Let c be (-12)\/45*3\/2. What is the nearest to -0.1 in c, i, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -u - 144. Suppose -14*x = -10*x - u. What is the highest common factor of 2 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 560*v + 659*v + 900*v + 12*v**2.\nAnswer: 12*v**2 + 2119*v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 726\/5 equal to 144?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7364545?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1147 by 3.\nAnswer: 1147\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8691 + -8674. Suppose -g = 4*l - 2*g - 13, 2*l + 2*g = 4. Suppose -2*z = -x - 134, -204 = -j*z + 14*z + l*x. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -632 - -1013. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6930 divided by 330.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -8. What is the third derivative of -7*z**g - z**2 + 5*z**6 + 0*z**6 + 3*z**2 wrt z?\nAnswer: 600*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 times 0.08464\nAnswer: 1.01568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52332 and 336?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (170\/30)\/(2\/(-36)). Is a <= -102?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -5*p. Suppose n + g - 5*g = 48, p = g + 2. Let f(r) = -3*r**2 - 116*r + 49. Let k be f(-39). Calculate the greatest common divisor of k and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 111?\nAnswer: -1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -3096*j**2 + 217*j - 112. Let p(d) = 1549*d**2 - 108*d + 51. Let i(k) = 7*p(k) + 3*z(k). Find the second derivative of i(h) wrt h.\nAnswer: 3110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 48.4639848 milliseconds?\nAnswer: 0.00000008013225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -3*p**3 - 34*p**2 + 18*p + 30. Let v be r(-12). Let a = 222 + -154. Calculate the highest common divisor of v and a.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38622, -77844, -117066, -156288, -195510?\nAnswer: -234732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(5) + sqrt(20)))**2 + -4.\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -4 + 2*b - 4 + b**2 + 4. Let w be (1\/(-1) - -2) + 17 + -15. Give j(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -47981, -191938, -431873, -767792, -1199701, -1727606, -2351513?\n\"Answer: -l**3 - 47983*l**2 - l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2303 - 0.\nAnswer: -2303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-40))**(-1\/4)*w**(-10)\/w*w**(-10) assuming w is positive.\nAnswer: w**(-125\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 - 17 = 4*k, -5*z + 12*k - 14 = 0 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -249.2456 - 4?\nAnswer: -253.2456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v - 2*v + 5*v)*((2*v - 2*v + v)*(2 - 5 + 2) + 3*v - 10*v + 10*v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(-28) - 4\/14. Suppose -5*w - 4*q + 14 = t, -2*w + 3*q + 1 = -0*w. Suppose w*y + 5 = 33. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2 - -2 - (6 - -1282)\/(-2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -840.9149 + -0.0851. Let y = -841.5 - j. What is the second smallest value in y, -0.01, 2?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -53 + 55. Solve -3*d - 2 = -b*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**3 - 3*x**3 + 3*x**3)*(-275 - 31*x + 29*x - 199).\nAnswer: -2*x**4 - 474*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(2\/3)*y)**(-20\/9)*((y**(-7)\/y)\/y)\/y*y*y**6*y)**(6\/25) assuming y is positive.\nAnswer: y**(-428\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-6))\/((-29)\/((-34104)\/49))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5 + (-3 - -14))*(-3)\/6*525250. What is r rounded to the nearest ten thousand?\nAnswer: -4200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 57 - 17 = -4*k, -2*m = k - 23. What is the units digit of (-2)\/k - (-112032)\/306?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 3 + 3)*(2*k + 3 - 6 + 1).\nAnswer: -12*k + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 242088 and 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 425 - 1276\/3. What is the biggest value in u, 0.5, -1\/4, -1\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1442120 by 180265.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 - 24*f - 39. Let o be b(-22). Let c be (o + 1)\/((-57)\/(-1102)). Suppose -54 - c = -2*v. Does 10 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 4*r**3 + 1 - 5.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19363, -75950, -169763, -300796, -469043, -674498, -917155?\nAnswer: -1197008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 105 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 8:05 AM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -3*i**2\/8 - 2021133*i\/8 + 252642 = 0.\nAnswer: -673712, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 6998*t. Let n(o) = -2*o**2. Calculate r(n(f)).\nAnswer: -13996*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4629 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 42, 21, -2, -21, -30, -23, 6?\n\"Answer: g**3 - 7*g**2 - 7*g + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*l - 18. Let u = -76 + 84. Calculate the lowest common multiple of l and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2418*127.\nAnswer: -307086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3221323 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -4*v - 3*p, -2*p = 4*v + 2 + 24. Let q = -8\/1071 + -4244\/5355. Which is the third smallest value? (a) 1\/4 (b) q (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -85, -91, -85, -61, -13?\n\"Answer: o**3 - 13*o - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -4*n + 2516 - 179, -2*n = 5*s - 1161. Calculate the remainder when n is divided by 146.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is (-114)\/(-152)*9\/(945\/(-40))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 8, -4*o = -4*j - 5 - 27. Let t be 0 - (-9 + 0\/(-1)). Suppose -9 = -3*m + t. What is the lowest common multiple of o and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -7*a**2 + 36*a - 8. Let z be s(5). Let q(l) = -22*l**3 - 6*l**2 - 3*l + 6. What is the units digit of q(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + i**2 - i - 1. Let o(q) = 2*q**3 + 11*q**2 - 11*q - 9. Let z(u) = o(u) + w(u). Calculate z(-13).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205 is divided by (-30)\/20 - ((-1055)\/10 - 0)?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/39, -835, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4*f - 7 = -5*l, 4*f = l + 17. Let b be (-7)\/f - (15 + -17). Let n be 2\/(-3)*(-23 + 32). Which is smaller: b or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21978\/5 - 4395. Factor -4\/5*r + 0 + 1\/5*r**4 + h*r**3 + 0*r**2.\nAnswer: r*(r - 1)*(r + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21212222100 (base 4) in base 12?\nAnswer: -a14b80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(4\/14)*(-55)\/((-17325)\/54)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*d = -89 + 3 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 7 - 35*s**3 + 32*s**3)*((1 + 0 - 2)*(-s - 4 + 4) - 1 + 1 - s + (-s + s - s)*(-4 - 2 + 4)).\nAnswer: -6*s**4 + 24*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2955 or 777?\nAnswer: 777","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three tenths of a kilometer?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 6. Let o(x) = 5*x - 1. List the prime factors of o(d).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14150419*a**4 + 7068859 with respect to a.\nAnswer: -56601676*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*o - 173*o - 168*o + 99*o.\nAnswer: -254*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 67 = -p - 68, 2*p - 9 = 5*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 * -859\nAnswer: 17.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 429779853?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3402081?\nAnswer: 3, 97, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/5 - (-228)\/20. Suppose -174*m + 130*m = -15004. What is the greatest common divisor of g and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 469740313 and 2114.\nAnswer: 1057","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2748 or -13734\/5?\nAnswer: -13734\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 22, 50, 68, 70, 50, 2, -80, -202?\n\"Answer: -j**3 + j**2 + 32*j - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + 10*t**2 - 34*t + 65. Let w be a(6). Suppose -7*h = -h - 24. Put h, 10, -3, w in ascending order.\nAnswer: -3, h, w, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(1*3\/(-15)). Let n(f) = -22*f**2 - 297*f - 392. Let y be n(-12). Put v, y, -3, 1 in decreasing order.\nAnswer: v, y, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + 3\/1 + -28. Let p = -15 - h. What is the lowest common multiple of 64 and p?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f*f**0)\/f*f)**(-4\/25)*f**(-3\/2)*f\/(f\/(f*f\/(((f*f\/f**(-6))\/f*f)\/f)))*(f**(-2)\/f)\/(f\/f**(-7))*f**(3\/4)\/f**(3\/2) assuming f is positive.\nAnswer: f**(-1857\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5991 divided by -4\nAnswer: 5991\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.447 - 5.447. What is the smallest value in -1\/4, -1, 3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -7.06.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 34*w. Let j(z) = 14*z. Determine a(j(p)).\nAnswer: 476*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 - -40. What is the remainder when k is divided by ((-8)\/10)\/((-2)\/10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 0.2.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37 + 20 - 81 + 26 - 109*q)*(7*q**4 + 44*q**3 - 44*q**3).\nAnswer: -763*q**5 + 14*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -2522\nAnswer: -2522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98444.1 months to millennia.\nAnswer: 8.203675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(15*b + 46*b + 177*b).\nAnswer: 476*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-108)\/20 + (-24)\/(-4). Which is the third smallest value? (a) -4 (b) -3\/5 (c) o (d) 1.1 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from ppppppeppeepeppeep.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 9*r**2 + 22. Let a be j(-9). Calculate the highest common divisor of a and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 510902 in ascending order.\nAnswer: 0, 2, 510902","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/4))**43*(t**1)**50)\/(t*t*t**(3\/4)*t**(3\/2)*t*t)**(-26\/3) assuming t is positive.\nAnswer: t**(1379\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/(-9))\/(1\/(-27)). Let m = q + 24. Does 14 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/6 + 15007901*d\/3 - 225237092425801\/6.\nAnswer: -(d - 15007901)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-6)*a**9)\/((((a*a\/a**(-2\/3))\/a)\/a*a)\/((a**1\/a)\/a)) assuming a is positive.\nAnswer: a**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-139 - -148)\/((-155)\/(-40) + -5 + 1)\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18184.\nAnswer: 2, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13530549?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/377 in -16, -2\/5, -38, 3, 2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5746 and 12974?\nAnswer: 2867254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14115790*r - 19552177 wrt r?\nAnswer: 14115790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -56341 + 56343. Factor -32\/5*x**p - 4\/5*x**3 + 36\/5*x + 0.\nAnswer: -4*x*(x - 1)*(x + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 135211?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/9 + -17\/36. Let r(y) = 12*y**3 + 3*y**2 + 2*y + 1. Let n be r(3). Let o = n + -6084\/17. Which is the nearest to z? (a) -5\/3 (b) -0.2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (118*m**5 + 119*m**5 - 252*m**5)*(-7 + 8 + 8)*(3 + 1 - 2) + m**5 + 7*m**5 - 4*m**5.\nAnswer: -266*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.3 and -227476765.\nAnswer: -227476765.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7790 and 52945514?\nAnswer: 264727570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 1 + 9. Let u be b - (8\/34 - 0). Let a = u + -304\/153. What is the nearest to a in 0.2, -2\/13, 5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 58 (b) 3 (c) -0.5 (d) -26.2 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6711 - -8474. Calculate the highest common factor of p and 123.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170981 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 191\/11663568 and -193\/5554080.\nAnswer: 116635680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123*r + r**3 + 154*r - 33*r.\nAnswer: r**3 + 244*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hs when two letters picked without replacement from {x: 3, h: 1, u: 2, s: 7, v: 1}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**4\/6 - l**3\/2 + 2*l\/3 = 0. What is l?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3*g - 89 = 0, 0*g + 5*g + 179 = 4*y. Let s = 55 - y. Calculate the remainder when 27 - ((-2)\/14 + 29\/7) is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 PM and 7:42 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 64 = r - 11, 0 = 4*l + 4*r + 56. Let y be (-4)\/(-5)*l\/26. Which is the nearest to y? (a) 3\/2 (b) -5 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -12c?\nAnswer: 12e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, g: 4, c: 2, b: 4}. What is prob of picking 1 b and 1 g?\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/(-9) - (-62)\/(-24)*-1 and 49\/10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**2 + 3 - 3 - 81*c - 5*c**2 + 81*c + (c - c - c)*(-4*c + 3*c + 2*c) - 4*c**2 + c**2 + c**2 + (-6 + 2*c + 6)*(3*c - c - 4*c).\nAnswer: -10*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 148 + -87. Does 7 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9724?\nAnswer: 2, 11, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -9313896 divided by 1436?\nAnswer: -6486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/2)\/((-2)\/(-10)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 374 - 372.27. Let f = v - -1.27. What is the closest to -3 in f, 0.1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -46*b**2 + 192132*b + 41770 = 0.\nAnswer: -5\/23, 4177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**4 + 2*s**4 - 3*s**4)*(-1 - 2 + 4)*(s + 99 - 99) - 6*s**3 + 4*s**5 + 6*s**3.\nAnswer: 2*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 0, 65.\nAnswer: -5, 0, 3, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 101267 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (58\/3596*-62)\/(-11*6)\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-41)\/(-13) + (-7497)\/819\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 5*p**2 + 120*p - 125 = 0.\nAnswer: -25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 = 6*c, 138561*u + 3*c - 14 + 6 - 27 = 138559*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 396 - 78. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -284125\/7 - -40589. Let z(m) = m**2 + 8*m. Suppose 2*o = -h + 6*h + 44, -4*o + 8 = 0. Let u be z(h). What is the nearest to -0.5 in p, u, -2\/9?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 13*b**2 - 3*b. Let f(d) = -3*d**2 - 2*d + 3. Let k be f(2). Let c be h(k). What are the prime factors of (-6)\/c - (-628)\/26?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -194 or -195?\nAnswer: -194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jem when three letters picked without replacement from {x: 3, j: 6, m: 1, e: 2}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of 42*u**5\/5 - 223*u**3\/3 + 310*u**2. Differentiate i(g) with respect to g.\nAnswer: 1008*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8192 is divided by 512.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 0*x + 3 - 3 - x - x**2. Let o(y) = -y**2 + 6*y + 5. Let h(k) = o(k) - 2*z(k). Let f be h(-9). Solve c - 4*u = -c + f, 34 = -3*c - 5*u for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, -10, -68, -180, -364, -638?\nAnswer: -1020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -66 and -65 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) 5 (c) 0.5 (d) -72\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -274*h*z + 335*h wrt z?\nAnswer: -274*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -58 (b) -3 (c) -4 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 53*v**5 - 9*v**4 - 1354*v**2 wrt v?\nAnswer: 3180*v**2 - 216*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-6)*4*30\/4. Let i = 15 + -25. Let x = i + m. Solve -3*y = b + 7, x = 2*y - 0*b - 4*b + 14 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.8, 463, 0.5, 0.123, -1\/4 in descending order.\nAnswer: 463, 0.5, 0.123, -1\/4, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*u - 92*u + 10*m = -44*u + 35, 3*u - m - 10 - 1 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 286 = -10*o - 265. Solve -2*h + 9 - 11 = 2*d, -o*d + 3*h + 9 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 + 5*l - 6. Let u be o(5). Let m be (11\/(-2))\/(u\/(-732)). Is m*(3 - (8 + -4)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88693190 to the power of 1\/3, to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-5)\/t**(1\/4)*t*t\/(t**(-4\/9)*t)*t**8 assuming t is positive.\nAnswer: t**(151\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/43 or -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 2) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1209 by -1209.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 32357 (base 9) to base 6\nAnswer: 243124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/7368 and -59\/8596?\nAnswer: 51576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -778*d**4 - d + 786 wrt d?\nAnswer: -3112*d**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20993, 83424, 187293, 332606, 519369?\nAnswer: 747588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 = 4*h - g, 744 + 957 = -h + 22*g + 361 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**10\/f**15)\/(f**(-1\/18)*f)**27 assuming f is positive.\nAnswer: f**(-61\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 88 + -47. Suppose -3*h = -4*t - 57 - g, 4*h + 5*t = 141. What is the remainder when h is divided by 1\/(-4) + (-49)\/(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1122776, -46, -3 in ascending order.\nAnswer: -1122776, -46, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 + 161. Let c = o + -383. What is c rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 1 - (43 + -39)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 7 + -4 - -17 - 5.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - (5 - 0)) + -28?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/(182\/(-30)))\/(78\/(-26))\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 30*24\/700*1215\/1458 + (-218)\/(-7)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zeg when three letters picked without replacement from yvoggze?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (39\/(-9) - -3)*40\/64?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 24, 263, 646, 1173, 1844, 2659, 3618?\n\"Answer: 72*h**2 + 23*h - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h. Let k = 1 + 3. Suppose -5*q + i = 23, 5*q + 5*i + 27 = k*i. Let s be t(q). Solve -x + s*x = -4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(35\/(-14)) + 67\/5. Suppose 26*w - 117 + q = 0. Solve 3*s + w*k - 2 = 2*k, 2*s - 4*k = -20 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(i**(-2\/7)\/i))\/(i**(-5\/3)\/i))**(-19) assuming i is positive.\nAnswer: i**(-2375\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-39)\/(4056\/(-1952)) + -19\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/(357\/18)*(-826)\/(-1593).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -256 + -2?\nAnswer: -258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 213598, 213599, 213600, 213601, 213602, 213603?\nAnswer: 213604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*23\/(-3)*((-6348)\/(-184))\/(-69)?\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13*-74746.\nAnswer: -971698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*i - 2223676 = -310*i. What is the greatest common divisor of i and 416?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -22) + -8 + -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1175 - -1177. Sort -0.1, 13.54, s.\nAnswer: -0.1, s, 13.54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 9:55 AM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 6, l: 7}. What is prob of picking 1 l and 2 d?\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - ((4 - 2) + 2)) + 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((20\/(-15))\/(-1))\/((-2)\/(-3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192*q**2 + 588 - 301 + 237*q**2 - 287.\nAnswer: 45*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6*(-6)\/234 - (-782)\/13. Calculate the highest common factor of w and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-14214)\/(-483))\/((-2)\/(-14)) is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 - 1)*(-6 + 3 + 1) + 4 - 3 + 1 - 2 + 1 + 2 - 2 + 1 + 2 - 5 + 2 + 1)*(-2 + 5*k + 2) + 6*k - k - 2*k.\nAnswer: 23*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t**(2\/3))*t\/t**(-2\/9))**(-1\/14)\/(t**(2\/15)\/t**5*t**(-1\/5)\/t*t*t*(t\/((t*t*t**(-5)*t)\/t)*t)\/t) assuming t is positive.\nAnswer: t**(17\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 722497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 5*a + 3. Let n be (a - -3)*(-1 - -3). Suppose 2*i - 4*i - 2*d = -22, -68 = -3*i + n*d. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1505 or -1502?\nAnswer: -1505","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 5*j + 5, -4*v + 3*j + 71 = -24. Suppose 5*y + v = 0, -11 = 4*x + y - 35. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.04 and 0.056.\nAnswer: 0.00224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/5334 and -20\/21?\nAnswer: 5334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*c**6 - 926*c**4 + 2*c**2 - 117*c - 13 wrt c.\nAnswer: 480*c**3 - 22224*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 2*x = -l + 16, x = -3*l + 20. Let h = -2469 - -2547. What is the least common multiple of h and l?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4614.991664 rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*x = 329*x + 7667 for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -6. Suppose -3*u = -a*u. Determine q so that 2\/9*q**2 - 2\/9*q**5 + 0 + 2\/9*q**3 + u*q - 2\/9*q**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 22*i - 384. Is v(37) a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 271, -0.4 in increasing order.\nAnswer: -0.4, -1\/4, 271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 + 0.3. Suppose 5*u = -b - b - 21, 3*b - 11 = u. Let s = -656\/7 + 94. What is the nearest to s in b, x, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, -4, -27 in descending order.\nAnswer: 4, 1, -4, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -264*d**2 + 2198*d - 9. Give f(8).\nAnswer: 679","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4*(-7)\/(-6)*18. Suppose -4*t - t = d - 45, 0 = 3*d - 2*t - s. Is 23 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(567)*1)**2 + -5 - ((sqrt(7)*4)**2*-2 + -6*(sqrt(7) - sqrt(14)\/sqrt(2))**2))*-1.\nAnswer: -802 + 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(36)\/sqrt(3))**2 + (0 + sqrt(48) - ((sqrt(48) - sqrt(3)) + 3))**2.\nAnswer: -6*sqrt(3) + 312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -666422 + -4?\nAnswer: -666426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -4.33. Let x = 0.03 + w. Let z = -32 + 32.1. Are z and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.24 - -0.602. Round t to 2 decimal places.\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 47 + 39 = 0. Let n be (-5 - -15) + j + 2. Let l be ((-20)\/n)\/(2\/(-96)). What is the highest common divisor of 15 and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405109 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10780?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 142*((-3)\/(-6) + -1). Let j = 103 + w. Does 8 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 726648 to the power of 1\/2, to the nearest integer?\nAnswer: 852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200120 (base 3) to base 9.\nAnswer: -616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/5 + (-1)\/(-5). Suppose -d + 17 + 7 = w. Does 12 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, p: 3}. What is prob of picking 4 f?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -6. Let f(j) = 6 - 2 - j - 1 + b. What are the prime factors of f(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 17*s + 19. Calculate m(-3).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 468902 and 133972?\nAnswer: 937804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -28287?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 73 - 7. List the prime factors of i.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -32, -41, -56, -77, -104?\n\"Answer: -3*w**2 - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 4*l**3 + 12 - 2 + 3*l - 12 to d*l + x + z*l**2 + v*l**3 and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (5\/3)\/(260\/(-312))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42651, -85269, -127855, -170403, -212907?\nAnswer: -255361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44041, -44012, -43981, -43948?\nAnswer: -43913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -107 and -6986835346738.\nAnswer: -6986835346845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 0 = 3*t - 120, 4*b = -b. Calculate the smallest common multiple of 1736 and t.\nAnswer: 8680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 724341 + -1316\nAnswer: 723025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -92*o - 1. Let g be p(2). Let t be (5\/g)\/((-2)\/4). Is 0 greater than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (62\/93)\/(2\/3). Let t be v*445 + 45\/(-9). Let p = -313 + t. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 0*c + 277 = v, v = -4*c - 267. Let b = -1 - c. Suppose b = -3*g + 4*g. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -3*i + 18 - 0, 110 = 5*i + 5*m. Solve 3*a + 5*v = 2*a - i, -5*v = 5*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 235*p + 70 = -225*p, -p = v - 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1404 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 10*v**3 - 7*v**2 - 7. Let t(h) = 9*h**3 - 6*h**2 - 6. Let r be (-483)\/12*(5 - 1). Let f = -167 - r. Determine f*q(w) + 7*t(w).\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1194, 343, 4518, 12651, 26062, 46071?\nAnswer: 73998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 - 154*r + 10095. Determine t(49).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 517607, 1035213, 1552821, 2070431, 2588043, 3105657?\n\"Answer: k**2 + 517603*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/1*9702\/(-154).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -3*v**5\/2 - 7065*v**4\/2 + 17688*v**3 - 28314*v**2 + 14160*v = 0.\nAnswer: -2360, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 208713348 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 227 + -226.01. Let x = d - 0.9899957. Round x to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 165 divide 16245029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 11:10 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -5*k**3 - 1785*k**2 - 3550*k = 0.\nAnswer: -355, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45224 is divided by 2466.\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, d: 2, e: 1, k: 3, o: 1}. What is prob of picking 2 k and 1 o?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(sqrt(22)\/sqrt(2)) + (5*-2*sqrt(3))**2.\nAnswer: sqrt(3) + 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 324 and 715404?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 595 + -404. Suppose 6*z - w = 571. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 2*w - 10 = 0, 23 - 6 = -2*a + 5*w for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2778fa (base 16) to base 2.\nAnswer: 1001110111100011111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4470628.\nAnswer: 2, 1117657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 70772.23999 rounded to the nearest 1000?\nAnswer: 71000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 236 + -3?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 494956 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 9:26 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k + 10 - 11 + 1.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/23239 (b) -7 (c) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 divided by -1696026?\nAnswer: -107\/1696026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60297788 and 956.\nAnswer: 956","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -1\/205, -0.1, -1\/130, 1, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 56053*m**3 - 55422*m**3 + 115834*m**3 + 2.\nAnswer: 4359*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y**2 + y - 6. Let r(l) = -6*l**2 + 2*l - 17. Suppose 6*z = -80 + 32. What is z*v(p) + 3*r(p)?\nAnswer: -2*p**2 - 2*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 11 = 5*f + 3, 0 = 4*u - 2*f - 16. Let b(o) = -o**3 + 4*o**2 - 5*o + 2. Let i be b(3). Sort u, -5, i in increasing order.\nAnswer: -5, i, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y + 9. Let m be q(-5). Suppose 4 = m*a - 24. Suppose 0*d + 3*d - 15 = 0. Which is smaller: d or a?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -8*x - 7. Does 4 divide w(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1576179?\nAnswer: 3, 11, 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143621?\nAnswer: 19, 7559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2040041 + 1?\nAnswer: 2040042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000833 rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 19*h**2 - 4*h - 66. List the prime factors of z(-6).\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 354 - -0.9.\nAnswer: 354.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1252009?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4618483 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 12 (b) 1243 (c) -4 (d) -0.32 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 86\/63 and -8\/6729.\nAnswer: 141309","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10948.\nAnswer: 2, 7, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/93 or -521\/2?\nAnswer: -521\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23364 and 1188.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 249c + -1?\nAnswer: 249b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 8 = v. Let j be -2 + (v - (-3 + 3)). Solve j = -2*r - 2*r - 20 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 PM and 5:53 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k**(-3)*k)\/(k\/k**(-2\/29)*k)*((k*k**(-16)\/k*k)\/k*k*k)**(-37))**(-2\/21) assuming k is positive.\nAnswer: k**(-29924\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2*r = -2160, -4*w - 5*r + 525 = -1641. What is the tens digit of w - (7 - 4 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1*(-5*sqrt(720))**2.\nAnswer: 18003","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*q**2 - 92\/5*q - 4\/5*q**3 + 156\/5.\nAnswer: -4*(q - 1)*(q + 3)*(q + 13)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30011525 (base 6) in base 9?\nAnswer: -1522308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16240 and 2436.\nAnswer: 48720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -5*q - 16660609 + 6538091, 6073533 = -3*q - 5*x. Let a = q + 8624506. What is a rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 62.93784 nanograms?\nAnswer: 0.00000006293784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 + 14*t + 5. Let i be b(-13). Is -4*1\/i*1282 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 49 + -50. Let w be (3 + z)*(-21)\/(-14). Suppose 5*b + 5*a - 290 = 0, -6*b - w*a - 150 = -9*b. Is 27 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that q**2\/4 - 25501*q\/2 - 765930 = 0.\nAnswer: -60, 51062","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 60 = -4*y, -3*y - 84 = 4*f + y. Let v = -8 - f. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162863633 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 505 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14 - 474752?\nAnswer: -474766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1612271770 - 1612271352.0000956. Let r = -418 + j. What is r rounded to five decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3*t = 4*t + 6, 0 = -2*v - 5*t + 40. Suppose 5*z - d = 92, -3*z - d = -2*z - 16. What is the remainder when z is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1798168*g**3 + 17898896*g.\nAnswer: -10789008*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11373 - -16958. What is the thousands digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 295610216*l. Let g(v) = -5*v. What is g(d(s))?\nAnswer: -1478051080*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 58*a + 107. Let l be h(-13). Let d = l + 1075. What is the hundreds digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/(-2) + 3)*-1. Suppose 0 = 5*g + f - 80, -2*g + t*g + 2*f + 44 = 0. Calculate the remainder when 65 is divided by g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 94224 and 24.\nAnswer: 94224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 295 + -290. Factor -4*k**p - 785*k**3 - 16*k**4 + 377*k**3 + 388*k**3 - 8*k**2.\nAnswer: -4*k**2*(k + 1)**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 2:59 AM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*g - 104 = -70*g. Suppose g*f - 24 = f. Solve 0 = -4*w + 4*t + 12, -f*w - 5*t + 1 = 9 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/65 (b) 1 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000735 to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4\/2*19\/(-19)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -50? (a) 0.064 (b) -5 (c) -21\/5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 357389023 to the nearest integer?\nAnswer: 18905","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 3 = -5*y, 5*y = 4*y + n for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 53016000 and -5?\nAnswer: -265080000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*v + 75*v - 6392. Is 7 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20041238927 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -5*l**3\/9 + 55*l**2\/3 - 120*l + 3709. Factor o(w).\nAnswer: -5*(w - 18)*(w - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = -20*t + 143. Solve 0 = 4*j - a + 1, 3*j - 5*a = 23 - t for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -58729707 or -58729703?\nAnswer: -58729707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 times -1013?\nAnswer: -10.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 20384 a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -14*n**3 - 5*n**2 - 14*n - 8. Let q(i) = -5*i**3 - 2*i**2 - 5*i - 3. Let f(t) = 6*d(t) - 17*q(t). Determine f(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k**3 + 0*k**3 + 0*k**3 + 247595*k**2 - 247595*k**2.\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -6, -0.04, -2\/19?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -4*j + 2*j**2 - j + 5*j. Let z(v) = -10*v**2 - 2 + 2. Determine z(x(c)).\nAnswer: -40*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 4)*(25*f + 22*f - 11*f) - 1 - 9*f - 3 + 3.\nAnswer: -81*f - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9269805 by -9269805.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/8)\/((-33)\/(-18) + -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33233 (base 6) to base 11.\nAnswer: 3529","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 3*u + 39 = 0, -2*g - 2*u - 3*u - 26 = 0. Let l = g - -17. Which is the nearest to 1? (a) 2\/15 (b) l (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 622 - -1531. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3\/2 - 16\/(-32) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 5 = -5*g. Solve 5*y = -g*f + 40, 5*f + y - 12 = 18 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o + 23. Let i be (-43 + 41)*(1 + 42\/4). Let m be v(i). Which is the nearest to m? (a) 7 (b) 0.4 (c) -2\/3 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 3*t - 270, -13*k + 9*k - 2*t + 360 = 0. What is the greatest common factor of 855 and k?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-3*(sqrt(133) - sqrt(133)*1 - sqrt(133)) - sqrt(133) - sqrt(133))\/sqrt(7) + 0)**2.\nAnswer: 4*sqrt(19) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3644 = -4*v, 13*v - 18*v + 2*i + 4555 = 0. List the prime factors of v.\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 + 10. Let v be -2 - (3 + m - 2). Let n be v + (0 - 2) - -3. Which is greater: 2\/31 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*u + 3*t + 2, 3*u - 4*t + 4 = 0. Suppose 5*s + 27 - 142 = u. Suppose -2*r + r + 89 = 0. Calculate the remainder when r is divided by s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 157\/3 + -52. Let n(u) = u**3 + 4*u**2 + 2*u + 1. Let g be n(-3). What is the third smallest value in r, 1\/5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -1. Which is the third biggest value? (a) -3\/4 (b) w (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*j + 2*j. What is the lowest common multiple of 4 and (9\/(-6))\/((-9)\/j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 28*k**3 - 9*k**2 + 3*k + 6. Let q be p(2). What is the highest common factor of q and 1150?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 6*v**2 + 5*v - 4. Suppose 5*g - 1 = 4. Let i(q) = q**2 + q - 1. Determine g*l(f) - 5*i(f).\nAnswer: f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**3 + 15012*d**2 - 1458848*d + 5595072 = 0. Calculate d.\nAnswer: -7602, 4, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 2*j - 4*j)*(3*j**4 - 3*j**4 - 2*j**4) + 2*j**2 - 2*j**2 - j**5 - 22*j**5 + 6*j**5 - 2*j**5.\nAnswer: -15*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -571 (b) 0.087 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7\/9 + -53\/45. Which is the nearest to d? (a) -2\/11 (b) -0.5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -2*t**4\/17 + 696*t**3\/17 + 10080*t**2\/17 + 20512*t\/17 - 86880\/17 = 0?\nAnswer: -10, -6, 2, 362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 - 3)*(-1 - 5 - 6)*(-85*d - 164 - 160 + 327) in the form i + u*d and give u.\nAnswer: -2040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 409253*y**4 + y**3 - 23*y**2 - 10155*y.\nAnswer: 9822072*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 15 = -t, 54*j + 25 = 58*j + t. Solve 2*r + j*r = -28 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, a: 1, d: 11}. What is prob of picking 1 p and 1 a?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -6*y**2 + y + 4. Let n(h) be the second derivative of -11*h**4\/12 + h**3\/6 + 4*h**2 + 447*h. What is 5*k(i) - 3*n(i)?\nAnswer: 3*i**2 + 2*i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1564258?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.218 + 101.182. Round t to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1215\/105*(-1127)\/(-483).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 168\/5 = 34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 11:09 PM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-6 + -1 + 2 + -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -12*a**3 - 56*a. Let j(c) = -2*c**3 - c. What is 5*j(r) - k(r)?\nAnswer: 2*r**3 + 51*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 - 8*k**2 + k - 7. Let n be s(8). Suppose -2*y + 4 = w - n, 5*w = 5*y - 20. Let q be 112\/49 - (-4)\/(-14). Solve -20 = q*b + y*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -10, 15, 54, 101, 150, 195, 230, 249?\n\"Answer: -n**3 + 13*n**2 - 7*n - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**3 + 2*n**2 - 20*n + 4*n**3 - 4*n + 37*n - 1 + 21*n to the form i + r*n + v*n**3 + l*n**2 and give r.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 144 and 21.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3360 and 52192.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 9, -9.\nAnswer: -9, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = a. Let t(z) = 10*z - 22. Let y(f) = -7*f + 15. Suppose -2*d + 27 = -2*j - 3*j, 3*d = -12. Let w(x) = j*y(x) - 5*t(x). Determine w(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 410510238 to the nearest 10000.\nAnswer: 410510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1667996217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 4:31 PM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 4:01 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 2.4, -2\/9, 0, 1\/4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14227343071 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/44174 and -9\/52?\nAnswer: 88348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 51 = -2*y, -3*z - 2 = y - 4. Let w = -8 - y. Suppose -4*g + w*g - 3 = 0. Which is the nearest to 1\/2? (a) g (b) -0.2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7821 + 7857. Calculate the greatest common divisor of 92 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00077166981 to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5197328, -10394751, -15592174, -20789597, -25987020, -31184443?\nAnswer: -36381866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (6370\/4 - 2)*15\/(165\/374) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(468) + 6*(sqrt(13)*2 - sqrt(13)).\nAnswer: 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of 1\/72*o**4 + 0 - 1\/120*o**5 + 0*o**2 + 0*o**3 + 4*o. Factor j(g).\nAnswer: -g**2*(g - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100310 (base 4) to base 7\nAnswer: 3065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -b - 7, b = -q + 3*q - 12. Suppose -129*r = 76 + 229 + 82. Sort q, r, -2, 3.\nAnswer: r, -2, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3 - (-1 - 478)) + -1 + 2?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -1, -2, -4, 347, 0 in decreasing order.\nAnswer: 347, 0, -1, -2, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-297)\/81 - (-145)\/15. What is the closest to -8 in 3, z, -1, -3\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1953023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 955*2\nAnswer: 1910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 1 = 4. Let m be 203\/(-35) + p\/(-5). Let j(b) = -4*b - 1. Let r(u) = 5*u + 1. What is m*j(l) - 5*r(l)?\nAnswer: -l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.7 (b) 3\/5 (c) -3750.3 (d) 2\/9 (e) -1 (f) -4 (g) -2\/5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -12553*k - 42. Let q(o) = -12556*o - 63. Let h(r) = 3*c(r) - 2*q(r). Let w(x) = x**2. Calculate w(h(p)).\nAnswer: 157427209*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2010 - 8043\/4. Let p = -4.97 - -5. What is the fourth biggest value in p, 3, f, 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7802, -7806, -7812, -7820, -7830, -7842, -7856?\nAnswer: -7872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -118, -3, 6.\nAnswer: -118, -3, 6, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in -58, -0.1, 2, -2, 0, -71\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 + 0. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -0.8. Let d be (-26)\/14 - 3\/21. Sort l, 2\/3, d in descending order.\nAnswer: 2\/3, l, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - b. Let u be a(-3). Let i be (1\/6)\/(3\/u). Let x = 2.676 + 1.324. Sort -5, x, i.\nAnswer: -5, i, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6.1954 litres?\nAnswer: 6195.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -4*d - 2*w, 4*w - 4 = -d - 12 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 27594\/(-12264)*20\/(-21)\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 881404, 1762852, 2644300, 3525748, 4407196, 5288644?\n\"Answer: 881448*d - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -82*y**3\/3 + 50191*y**2\/6 - 640203*y + 54621\/2 = 0. Calculate y.\nAnswer: 7\/164, 153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -v**3 - 138*v**2 + 141*v + 278 = 0.\nAnswer: -139, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1760 = 78*b - 182*b - 336*b. Solve -d + 2*q = 10, b*d + 4*q - 9 = 5*q for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 658 + -653. Solve -l - 1 = -5*x, -5*l + 2*l = -o*x - 7 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - 5*r**2 + 2. Let t be l(-5). Let d(p) be the second derivative of 0*p**3 + 0 + 0*p**t - 1\/12*p**4 + p. Let y(w) = 3*w. Give d(y(s)).\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 375 divide 253342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -10212, -10259, -10334, -10437?\n\"Answer: -14*r**2 - 5*r - 10193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4*a + 25 = 0, -o - 20 + 10 = -3*a. Suppose 0 = -5*b - o*r + 133740, -14*r + 13*r - 80240 = -3*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(1\/63) - -1. Let s = 67 + 30. Let k = s + o. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9279*p**4 + 1730 wrt p?\nAnswer: 37116*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 0 + 2*v**2 + 2049*v**3 - 5*v**2 - v**2.\nAnswer: 2049*v**3 - 4*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5428847*t**4 - 8*t**3 - 227001082*t**2 wrt t?\nAnswer: 130292328*t - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -197 - -198. Solve d + q + 3 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -797*o - 43 = -792*o - 3*p, -44 = 5*o - 4*p for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 249317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 918215.5l in millilitres?\nAnswer: 918215500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 67*y**2 + 531*y + 2. What are the prime factors of p(64)?\nAnswer: 2, 17, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1.65, -1\/7, 1\/2, 1\/40?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*u**2 + 2*u - 8*u**3 + 18 - 5*u**3 + 19 + 14 - 54 to the form b*u + t + h*u**2 + i*u**3 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kvk when three letters picked without replacement from vkuugkvvvkglgg?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27387 is divided by 1369?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {g: 1, c: 4, v: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 117643 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -310*r = -288*r + 311 + 261 for r.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31451 + 126525\/4. Which is greater: 179 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -879 + 1895 + 0*b - 2*b - 1102*b**2 - 948 + 3*b wrt b.\nAnswer: -2204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 + 0.2. Let j = 0 - m. Let n = j + -1.1. Which is greater: 1 or n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 504 = -3*j. Suppose -j = 19*x - 27*x. Let m(s) = 24*s + 70. Is m(x) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -6*v + 24. Let x be t(-7). Suppose j + x = 3*j. Calculate the smallest common multiple of 6 and j.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8453 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2171 (base 12) in base 3?\nAnswer: -12001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2116 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5 + 255068?\nAnswer: 255066.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of -m**7\/16380 + 19*m**6\/2340 - 361*m**5\/780 + 14*m**4\/3 + 68*m**2. Let q(n) be the second derivative of z(n). Factor q(w).\nAnswer: -2*(w - 19)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 2890?\nAnswer: -2886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*d**2 + 2*d**3 + 3*d - 2 + 39*d**2 - 75*d**2 to the form v*d**3 + r*d + n + b*d**2 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 2*r = -18, -7829*q + 5*r + 75 = -7825*q for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 5)*(-c - c + 3*c)*(3*c**2 + 6*c**2 - 7*c**2).\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216 + 215 = -5*q - 2*y, y + 32 = 4*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14426281 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.508 times -0.03?\nAnswer: 0.01524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 94728311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18587598019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -80 or -0.9?\nAnswer: -80","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 294 divided by 3?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q + 2*q + 4*q)*(q + 5*q - 4*q)*(-q - 4 + 4)*(4*q**2 - 6*q**2 + 3*q**2 + 3*q**2 + q**2 - 5*q**2 + (0*q - 6*q + 4*q)*(-3*q - 2 + 2) - 5 + 5 + 2*q**2).\nAnswer: -16*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -261.4 - -261.1. Sort 2\/505, 0.06, w in increasing order.\nAnswer: w, 2\/505, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 32 = -r. Suppose -r = -2*x - 4. What is the second derivative of 0*o**4 + 4*o - 2*o**4 - o + x*o**4 wrt o?\nAnswer: 48*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-4 + 2*sqrt(1300) - (sqrt(1300) + 1)*6)*-1)*-3*5 + 2.\nAnswer: -600*sqrt(13) - 148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 263? (a) -2 (b) 6 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 29 (b) -0.5 (c) -3 (d) 5 (e) 0.49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(3\/13)\/j**(-6))**32)**(1\/23) assuming j is positive.\nAnswer: j**(2592\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78\/8*((-210)\/(-420))\/((-3)\/8).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1123 divide 97206880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j. Let l(b) = 2*b**2 - 151*b - 20. Determine d(l(v)).\nAnswer: -4*v**2 + 302*v + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -226 - -225.22. Let f = -3.78 - x. What is the fourth smallest value in 3, -1, f, -1\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - -1. Let m be (-87)\/(-27) + t\/(-18). Suppose 5*l = m*l + 24. Solve 0 = -3*c - l, -k = -5*k - 4*c - 28 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m**4\/4 - 14455*m**3\/4 + 13057382*m**2 + 13060996*m = 0. What is m?\nAnswer: -1, 0, 7228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 52240 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -5 (c) 0.324 (d) -4 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9525*d**2 + 5189*d**2 + 4341*d**2.\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of 7*s**6\/90 - 4*s**5\/15 + 11*s**4\/36 - s**3\/9 + 7*s. What is p in i(p) = 0?\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of -1\/16*c**4 - 1\/24*c**6 + 0*c + 1 + 0*c**2 + 1\/10*c**5 + 0*c**3. Factor i(b).\nAnswer: -b**3*(b - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -308*u**2 - 10*u - 11. Let q(x) = -270*x**2 - 9*x - 9. Give -6*q(p) + 5*s(p).\nAnswer: 80*p**2 + 4*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 22 = -4*a. Let q = a + 0. Suppose 0 = q*v - 5*v + 2. Solve -6 + 26 = -4*i + 4*w, 12 = -v*i + 3*w for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.9 - -3.1. Let n = 5.7 - k. Let r = 0.2 - n. Which is the third smallest value? (a) r (b) 2\/7 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 1, -39, -95, -167, -255?\nAnswer: -359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 202*i + 8 = -204*i, 3*k + 3*i + 12 = 0. Which is bigger: -4\/107 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11528 and 3762.\nAnswer: 1971288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.3 (b) 972 (c) 2\/7 (d) 1.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 20*s. Let j(g) = 46 - 46 - g. What is 15*j(o) + q(o)?\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12160764 and 2422266.\nAnswer: 595877436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 - 15*y - 62. Let v be n(-7). Let a be (-4 + 1)\/(5\/530*v). Calculate the greatest common divisor of a and 106.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -7*d**2 + 6. Let f(g) = -6*g**2 + 5. Let a(u) = 6*f(u) - 5*j(u). Let s(x) = 6*x**2. Calculate a(s(l)).\nAnswer: -36*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -93.48 + 98.48. Sort 5\/4, l, 114.\nAnswer: 5\/4, l, 114","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 24*t**2 + 7*t - 4. Let j(a) = -25*a**2 - 8*a + 5. Give 5*g(z) + 4*j(z).\nAnswer: 20*z**2 + 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -0.06\nAnswer: 0.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4145 divided by 18\nAnswer: 4145\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 101288281?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1414, -2833, -4250, -5665, -7078?\nAnswer: -8489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2*k - 1\/2*k**2 + 0.\nAnswer: -k*(k - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 201022 (base 3) to base 4\nAnswer: 20021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 248 + -248. Is m > -2\/111?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1018862*m**2\/3 + 679242*m + 4\/3.\nAnswer: 2*(m + 2)*(509431*m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oy when two letters picked without replacement from fffyyyyyfyyfo?\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 0) + (-66 - -36 - -69 - -2)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - 3*-2*-1. Let t = 2.343 - 2.043. Which is the nearest to 0? (a) u (b) -1\/4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6514 - -12686. Round f to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r - 4 = -10*r. Let b(l) = l**3 - 10*l**2 + 10*l - 6. Let n be b(9). Solve k = r - n for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((11\/(-22))\/((-1)\/2))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + r**2 + 6*r + r + 3*r + 2*r - r**2 - 2*r + (-4*r**2 + r**2 + 4*r**2)*(3 + 0 - 1) to j + b*r**2 + n*r and give n.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1606 and -9.\nAnswer: 1597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 26*o + 2. What is w(2)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -192 + 193. Let t = 0.021 - 22.021. Let y = 25 + t. Which is the third biggest value? (a) 7 (b) -4 (c) q (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 2806*p**2 - 142802*p - 105. Determine j(-50).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -5443 and -197927171.\nAnswer: -197932614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k\/(k**4*k))))**(-15\/4) assuming k is positive.\nAnswer: k**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**4 + 4*l**4 + l**4 + (-l**2 + 30*l + 221*l**3 - 219*l**3 - 6*l)*(26*l + 0*l + 11*l) to c*l**2 + j*l**3 + a + u*l + b*l**4 and give b.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 117 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18254.57 - -18254.9000212. Let v = 0.33 - t. Round v to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4466923?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of -z**3\/3 + z - 80. Let c(o) = o + 6. Calculate -c(s) + 2*f(s).\nAnswer: -2*s**2 - s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 93244, 372947, 839126, 1491787, 2330936, 3356579?\n\"Answer: d**3 + 93232*d**2 + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f + 7*f - 5*f + 59*f**2.\nAnswer: 59*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/3)\/(((-12)\/(-9))\/(90\/75)).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4\/3 (b) 2 (c) 135 (d) 553 (e) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -208*m + 852. What is v(4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/9)\/(((-2960)\/(-1332))\/((-25)\/6))?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 13 (b) 4 (c) 0.8 (d) -5 (e) -1\/4 (f) -1\/6 (g) 34\/133\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 16 - 36 = 0, 41*s + 46*s - 88*s + 18 = 5*i for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5738681 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-117)\/18 - -11 - (-2 + 7).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -2*p - 21. Let l be -2 - (2 + p + 1). Which is bigger: l or 0.02?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1611072953?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 544 and 688.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -6*f + 45. Suppose -3*o + 55 = 10. Calculate the highest common divisor of o and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 289, 265, 227, 169, 85, -31?\nAnswer: -185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -4000011?\nAnswer: -4000013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31670?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -5\/13, -0.06, -0.1, 11, 5.\nAnswer: -5\/13, -0.1, -0.06, 0.2, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.02 - -0.02. What is the nearest to 0.3 in -1\/5, l, 2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*2\/33 + 79*(-611814)\/(-766458)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -170051*z - 604264*z - 389588*z - 399286*z.\nAnswer: -1563189*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -230526 (base 10) to base 8\nAnswer: -702176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7476 and 15942?\nAnswer: 19863732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -531, -493, -423, -321, -187, -21, 177?\nAnswer: 407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26141 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q + 6*q = 0. Suppose -x = -2 - q, 5*x - 22 = -3*g. Factor 1\/3*n**g - 1\/3*n**2 + 0 - 1\/3*n**3 + 0*n + 1\/3*n**5.\nAnswer: n**2*(n - 1)*(n + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, 207, 1, 13.51, -4, 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -100754, -0.63, -0.3 in ascending order.\nAnswer: -100754, -0.63, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 119 and 136?\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3564, 2, -1330 in increasing order.\nAnswer: -3564, -1330, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 4. Let m = -35 - -15. Let o = -62\/3 - m. What is the closest to o in l, 4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 18*l + 42. Let d be o(-4). What is the remainder when (-1977)\/(-12) + d\/40 is divided by 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uzzzuzuz. What is prob of sequence zzu?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 8 - 12. Suppose f*g - g = -4*w - 15, 5*w = 4*g - 42. Let x = w + 14. Solve -k = k + x for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tidstvds. What is prob of sequence dt?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12 + 130?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -503 take away -43.3?\nAnswer: -459.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80300363?\nAnswer: 11, 13, 349, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5145374*g**2 - 356*g + 8805.\nAnswer: 10290748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**3 + 0*b**3 - 10913*b**2 - 2*b + 10914*b**2 + 1 - 18*b**4 in the form r*b + o*b**3 + i*b**4 + d*b**2 + h and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of -r**4\/8 + 2*r**3\/3 + 5*r**2. Let a(l) = 3*l - 3. What is 4*a(f) + 3*w(f)?\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 192227 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -7*w**3 - 6*w**2 + 1. Let c(v) = v**3 + v**2. Suppose 0*z + z + 1 = 0. Determine z*x(r) - 6*c(r).\nAnswer: r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76908, 76910, 76912, 76914, 76916, 76918?\nAnswer: 76920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3323 + 5828. List the prime factors of z.\nAnswer: 3, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -111370?\nAnswer: 111373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 PM and 1:03 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 18*k - 8 = 14 - 106, -k = 5*a - 27 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14401 is divided by 2369.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/181, -5, 1\/6?\nAnswer: -2\/181","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/(-5) + (25 - 22)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4\/9*d**5 - 64\/9*d + 8\/3*d**3 - 128\/3 + 200\/9*d**2 - 22\/9*d**4 = 0. Calculate d.\nAnswer: -4, -3\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/6)\/((-1155)\/(-700)*-10*(-60)\/(-3375))?\nAnswer: -50\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 429 and 14743157.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -297.52 rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 8*q**2 - 607*q + 3302. Determine f(70).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2398 a factor of 1102744280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9407180785 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 5*r. Let g be 21\/(-45)*(-106 - -91). Solve r = -6*t + g*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-111)\/(-21) + 5*-1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2659*f - 91. Is j(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34314 by -6.\nAnswer: -5719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -19*g**2 + 682*g + 64. Give k(36).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 437.9 + -438. What is the second smallest value in 2\/111, t, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/3)\/(y\/y**5))\/(y**0)**(-19) assuming y is positive.\nAnswer: y**(13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -4*y**3 - 39*y**2 - 46*y - 14. Let d be r(-9). What is the greatest common factor of d and 9891?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42089.\nAnswer: 42089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*p - 6*p + 63 + 8*p + 7*p in the form n*p + x and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/80*40\/96?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -6. Let u = t - 13. Let j = u + 10.9999971. Round j to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1122\/(-255))\/((-12)\/6 - (-9)\/5).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 8725718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18.5 + -20.5. Which is the fourth biggest value? (a) 3\/5 (b) -0.4 (c) 3 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*b + 0*b - 23*b - 6*i + 5*i + 5 - 57 = 0, b = -2*i + 8 for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 + 21. Do -11\/7 and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 4 = -2*m. Let v = m - 6. Let f = -9 - v. Which is smaller: 9 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001 - -100001110011?\nAnswer: 100010000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u + 10 = -5*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, x: 2, q: 3, i: 1}. What is prob of picking 1 q and 2 x?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -24279*w - 388459. What is g(-16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2122 - -2?\nAnswer: 2124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 divided by 2192?\nAnswer: 17\/2192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 6) + (-78 - -80)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/2*((-1)\/1)\/5)\/(540314\/1350785)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3825\/12 - (-25)\/100 is divided by 35?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**2)\/j*j\/(j*j\/j**23)*(j**8)**(-42) assuming j is positive.\nAnswer: j**(-316)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -10. Let b be (-15)\/(-11)*((-96)\/300)\/1*10. Is b < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -116965386 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1 + sqrt(27) + -4*-4*sqrt(27) + sqrt(27).\nAnswer: 1 + 54*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -912, -1831, -2750, -3669?\nAnswer: -4588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15470905 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6 + (-1)\/((-4)\/(-26)). What is the second biggest value in b, 5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5848*g**4 + 30*g**5 - 24*g**5 - 8*g**5 + (3*g - g + 0*g)*(2*g**4 + 0*g**4 + 0*g**4) - 3*g - g**5 + 3*g.\nAnswer: g**5 - 5848*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.987 - 0.013. Let q be ((-16)\/(-56))\/(4 + 3\/(-1)). Which is the second biggest value? (a) q (b) o (c) 0.1 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: 1 - (9 - 7) - (-75 + 89)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2 = -3*y, -3*y + 3*a + 0*a = 27. Let d = 4 + y. Solve 0 = -4*w + 2*s - 0*s + 12, d = -5*w - 5*s + 45 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(304) - (0 + sqrt(304) + sqrt(304) + -1 + sqrt(304))**2 - sqrt(304)) + sqrt(304) - (2*sqrt(304)*-2)**2) + -4)*-1*2.\nAnswer: -56*sqrt(19) + 15210","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/5 (b) 3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23\/(27 - 4)*(-32)\/120.\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w - 460 = -11*w. Let a = w - 81. Which is greater: -0.1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -148119105 - -286995\nAnswer: -147832110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41.165 + -42. Let w = f - -0.135. Which is the third biggest value? (a) 0 (b) w (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**2 + 8. Let g(b) = -15*b**2. Determine s(g(x)).\nAnswer: -450*x**4 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55444 (base 6) to base 3.\nAnswer: 101121101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - (-7 - 0 - 1). Suppose 6*j = 4*j - t. Let s = 61\/3 + -20. Which is the nearest to s? (a) j (b) -1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 q when two letters picked without replacement from {r: 1, e: 2, q: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/((p**(-3)*p)\/p)*p\/(p*p**(2\/3)))**(-40) assuming p is positive.\nAnswer: p**(-520\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93923 is divided by 11733?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 < -58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 1531*u - 6922. What are the prime factors of l(33)?\nAnswer: 59, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.26 + 0.04. Let y = -829 + 829.01. What is the fourth biggest value in s, 0.1, y, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*m + 30*m**3 - 8*m**2 + m - 7*m**2 - 2 + 0*m**2 + 16*m**2 to the form g*m**3 + n*m**2 + b + u*m and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46330*d - 46335*d - 40 = 0 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 51a2bc + 9b?\nAnswer: 51a379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 58, 60, 64, 70, 78?\n\"Answer: x**2 - x + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720)*3 + sqrt(2420) + sqrt(2420)*-2 + sqrt(2420) + sqrt(2420))\/(-2*sqrt(16) - (3*sqrt(196) + sqrt(196))) + 3.\nAnswer: -29*sqrt(5)\/32 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 378205?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8294 a factor of 3139950814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zqqr when four letters picked without replacement from {r: 1, u: 4, j: 1, q: 2, z: 2}.\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/4*(14 + -8). Suppose 2*x + 2*z = 30, x + g*z = -0*x + 11. Suppose 8*k + x = 57. What is the highest common divisor of 55 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 5) to base 9\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o = -16*o + 20, 0 = -k + 4*o + 4920. Does 52 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*v + 219 = 39*v - 457. Let o(h) = 28*h - 5. Let d be o(-5). Let t = v - d. Does 31 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10000110010101111010000 (base 2) to base 14\nAnswer: -8283ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 41*r + 243. Let l be q(33). Suppose -3*k - 3*v = -2394, 0 = 2*k - 6*v + v - l. Is k a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**4 + 268*z**3 + 1015*z**2 + 748*z - 372.\nAnswer: -(z - 93)*(z + 2)**2*(3*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + 1)\/76 - (-18 - 8820\/(-285)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2917 - 2916. Which is the third smallest value? (a) x (b) -4 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -253 (base 11) to base 15.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/2405 and 49\/89.\nAnswer: 214045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -g + 4*t, 51 = 3*g - 5*t + 69 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -39*x**2 + 309*x - 1567. Calculate a(5).\nAnswer: -997","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (-28)\/(-6))*(-15)\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -45.9385 to 0 decimal places.\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15044701 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b**3 - 3078*b**2 + 2165547*b + 39959622 = 0. What is b?\nAnswer: -1501, -18, 493","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 644 and 63434.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -16863*k + 320421. What is b(19)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2120111201110 - 10?\nAnswer: -2120111201120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -28382 (base 13) to base 9\nAnswer: -124268","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.689864 centuries to millennia.\nAnswer: 0.3689864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 256?\nAnswer: 2816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5 - 3 + 0 - 1 - 1 + 3 - 1 + 0 + 2 - 3 - 1 + 1 + 2 - 2 + (-2 - 4 + 7)*(-3 + 5 + 0) - 2 + 1 + 3)*(3*t - 111 + 54 + 11) + (-t - 10 + 10)*(1 + 1 - 4).\nAnswer: 20*t - 276","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q**2. Let f(j) be the third derivative of -7*j**5\/15 - j**2 + 3. Give d(f(y)).\nAnswer: -1568*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 340*s**4 - 17*s**3 - 17*s**2 + 162. Let b(j) = 113*j**4 - 6*j**3 - 6*j**2 + 54. Let n(g) = -17*b(g) + 6*m(g). Differentiate n(d) wrt d.\nAnswer: 476*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(384) + (sqrt(384) - sqrt(384)*1*1))*1)\/((sqrt(300)*2 + sqrt(300))*-3 - (sqrt(300) + -1*sqrt(300)*1)).\nAnswer: -4*sqrt(2)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + -25 + -27 + 80?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 9:04 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_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: In base 4, what is -11 - 213002?\nAnswer: -213013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 8*p**2 - 2*p - 10. Suppose 11 + 54 = -5*r. Let s = 22 + r. Is b(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -5 + 3*(sqrt(76) + sqrt(76) + -2*sqrt(76) + 1) + 4)**2*-5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.841 - 2.841. Let v = -29 + 27. What is the closest to l in -0.1, v, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1480 and 28?\nAnswer: 10360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2264 by 1132.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 150 - 146.42. Let m = u + -1.58. What is the closest to -0.1 in m, 2\/3, -22?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 6 - (8 + -17) - (0 - 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -4*t + 19, -5*t + 1400 = -2*f + 1405 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 - -1. Let n = 30 - q. Solve 0 = -n*s + 2 + 10 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - h. Let j(x) be the third derivative of -3*x**5\/20 + x**4\/4 - 3*x**2 + 2*x - 1324. Suppose 0 = -0*z + 2*z - 36. Calculate z*u(i) + 3*j(i).\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45446014 to the nearest integer?\nAnswer: 6741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 3*s**2 - 40*s**3 - 105*s - s**4 - 38*s**3 - 36*s**3 + 112*s**3 to the form j*s**2 + m*s**4 + v + w*s + i*s**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37 + -37.02. Let p = -0.02 - d. Let l = -511\/9 - -57. Which is the closest to p? (a) l (b) 0.06 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(99) + sqrt(99))*3)**2 + (sqrt(99) - (-5 + sqrt(99)))**2 + 5.\nAnswer: 22305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -836, -832, -826, -818?\nAnswer: -808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*s**2 + 4*s**2 - 9*s**2 + 5*s**2 in the form y*s**2 + h*s + z and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 100*a = -97*a + 1, a = 3*g + 17. Let v(y) = 26*y**2 + 2. Let i(d) = 13*d**2 + 1. What is g*v(z) + 9*i(z)?\nAnswer: 13*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10520 and 200?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gta when three letters picked without replacement from {g: 1, c: 3, a: 3, t: 3}.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5638 + -5303. What is the lowest common multiple of k and 180?\nAnswer: 12060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*o**5 + 83514*o**4 - 14095026*o**3 + 53685804*o**2 + 72612201*o + 4747770 = 0.\nAnswer: -1, -2\/29, 5, 213, 743","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**4 - 6*t**3 + 12*t**2. Let s(f) = -f**4 + 13*f**3 - 25*f**2. Let m(q) = -6*s(q) - 13*x(q). What is the third derivative of m(d) wrt d?\nAnswer: -168*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/1)\/(-2*(-2 - -1)). Which is smaller: 2\/79 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*i**4 + 23 - 11*i**4 - i + 4*i**4 + 0*i in the form h*i + y*i**3 + s*i**4 + q + g*i**2 and give q.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -101.6862756 - -0.6872456. Let q = 101 + f. What is q rounded to 4 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1256*l + 3171*l + 9293*l)*(1 + 4 - 1) to the form a + s*l and give s.\nAnswer: 54880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = k - 3*j, 7*k - 3*k = -j + 136. Calculate the highest common factor of k and 221.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 6)*(0*g**2 - 3*g**2 + 4*g**2) + g**2 + 4*g**2 - 18*g**2 + 9*g**2 + 2 + g - 4 - 11*g**2.\nAnswer: -17*g**2 + g - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = v - 2. Let q = 35 + -27. Let c be (-2)\/2 - q\/(-6). Which is greater: v or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 553*q - 179*q - 185*q + 2 - 184*q. Calculate n(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 5*j - 10 = 0, 2*i - i = 3*j - 8. Suppose 3*z + 74 = -5*l, -4*z - l + i = 134. What is the common denominator of z and -41\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -4*l - 227 - 214 + 423. Let k be j(-5). Solve h + 4*g - 5*g = -k, h + 4*g = -2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a + 1. Suppose -2*m = v - 11, -3*v - 2*m + 9 = -4. Let j(i) be the first derivative of 9*i + 113. Let b(z) = v*u(z) - j(z). What is b(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 156 and 9.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101011001101 - -11001010010010111?\nAnswer: 11000100111001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + k - 1. Let w(i) = -i**3 + 2*i**2 + 11*i + 3. Let f(l) = w(l) - 5*x(l). Let b be f(-4). Let y = 21\/20 + -71\/60. Is b >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141958 + 82817 = 675*y. Calculate the remainder when y is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 0*k + 3*k)*(5 + 1 - 4) - 75 + 80 + 3*k + 6*k.\nAnswer: 11*k + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -99, -218, -383, -594, -851, -1154?\nAnswer: -1503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19270, -38541, -57812, -77083?\nAnswer: -96354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -26*o + 4*o**2 - 31*o - 3*o**2. Let x(a) = -a**2. Give k(x(p)).\nAnswer: p**4 + 57*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -84, -83, -68, -33, 28?\n\"Answer: k**3 + k**2 - 9*k - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.55, -3, 38.\nAnswer: -3, -0.55, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1.9 (b) -4\/5 (c) -0.5 (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h - 575000 = -12*h. Round h to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -j**3*v*x + j**3*v - 49*j**3*x + 211*j**3 - 100*j**2 - 5*j*v + j + 11750*v*x**2 wrt x.\nAnswer: -j**3*v - 49*j**3 + 23500*v*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -j + 5236 - 5210, -5*o = 4*j - 74. What is the remainder when 1294 is divided by j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**21*z)\/z**(-2)*z**22*z*z*z\/(z*z**(-15))*z)**(30\/7) assuming z is positive.\nAnswer: z**(1980\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3e (base 16) in base 4?\nAnswer: -332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 96*d**2 - 5*d + 434. Determine v(96).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 4 = -5*p, 0 = 3*g + 4*p + 3. Let c = 4 - g. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12728 and 1874.\nAnswer: 11926136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 47099 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-20)\/(l*l**(-6)) assuming l is positive.\nAnswer: l**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 9 + 11 - 10*r + 45*r.\nAnswer: 35*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) - (sqrt(833) + -3)**2 - (sqrt(17) + sqrt(136)\/sqrt(8)*4) - (sqrt(204)\/sqrt(64))\/(-2*sqrt(6)\/sqrt(2)).\nAnswer: -842 + 305*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -68*i - 1219. Let l be y(-18). Sort 26, -3, 2, -14, l in decreasing order.\nAnswer: 26, l, 2, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1462 = 129413*m - 130144*m. Factor -21\/4*w + 3\/4*w**m + 9\/2.\nAnswer: 3*(w - 6)*(w - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 28*t + 33*t - 56*t)*(-2 + 3 + 1) to the form c*t + l and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of 0*f**2 + 10*f + 0*f**3 + 1\/28*f**4 + 0. Factor n(d).\nAnswer: 3*d**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of h**4\/2 + 11*h**3\/3 - 2*h**2 - 2*h - 2029. Calculate l(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 877 + -849. Suppose -46*f = -w*f - 18810. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of -8*p**2 + 0*p**6 + 1 + 1\/6*p**4 + 0*p**3 + 1\/12*p**5 + 59\/210*p**7 + 0*p. Find the third derivative of m(k) wrt k.\nAnswer: 1416*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of -5*i**3\/6 - 2*i. Let m(y) = -y. What is m(s(c))?\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -68783700 rounded to the nearest one million?\nAnswer: -69000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = 5*v - 2*o, 2 = -3*v - 5*o - 23. What is the tens digit of 5 - (-5 - v) - -390?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 9*b**2 - 5*b - 3. List the prime factors of u(-11).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 9310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*-3*sqrt(114) + sqrt(114) - sqrt(114)) + 5*3*sqrt(114))\/(sqrt(42)\/sqrt(7)*4 + sqrt(6) + sqrt(6) + sqrt(96)*-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -4. Let n(o) = -53*o**2 + 5*o - 9. Let t(r) = 44*r**2 - 5*r + 8. Let a(z) = -5*n(z) - 6*t(z). What is the remainder when a(u) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of 3097*w**5\/10 - 3*w**4\/4 + 187*w**2\/2 - 10912*w. What is the third derivative of b(s) wrt s?\nAnswer: 37164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -5*w - 4. Suppose 63 = -x + 66, 0 = -4*v - 5*x + 39. Determine z(v).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k - 3. Let i be l(4). Suppose -i*y - 8 + 128 = 0. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 1\/668420?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 0) + 24 + (-11 - 36 - -27) + 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 605 or 5\/32?\nAnswer: 605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*c = -44*c - 10. Let m be (-3350)\/(-40) + c\/(-8) - 4. Calculate the greatest common divisor of 20 and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 11:34 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.764 to one decimal place.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**5\/4 + 19*m**4\/4 + 115*m**3\/4 + 277*m**2\/4 + 70*m + 25 = 0.\nAnswer: -10, -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 221713413 + 1.1.\nAnswer: 221713414.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1235 and 5590.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 6) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 39420250 divided by -386?\nAnswer: -102125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4079)\/5 - (72\/10 - 6). Let w = -811 - x. Solve -w*s + 6 = -0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 90, 195, 312, 441, 582, 735?\n\"Answer: 6*r**2 + 87*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 316931 to the power of 1\/4, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -272.881 rounded to the nearest ten?\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1*2.3\nAnswer: 2.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 204520777.\nAnswer: 6673, 30649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.1 times 141482?\nAnswer: 10908262.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 958522765 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11966 and 17546?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 67624 and 146804?\nAnswer: 23195032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 31\/2 of a kilogram?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1387988 is divided by 346982?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and -4459.8.\nAnswer: -4456.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 20535 = 3*y, -5*o + 87*y - 86*y = -34219. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, p: 2}. Give prob of picking 2 o.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bxslbbblslslblxxl. What is prob of sequence lxb?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of q**5 - 2*q**3 - 6. What is the third derivative of h(i) wrt i?\nAnswer: 120*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.72137s in milliseconds?\nAnswer: 80721.37","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1543873 or 1543868?\nAnswer: 1543873","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22785, 22832, 22911, 23022, 23165, 23340, 23547?\nAnswer: 23786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 266\/6131 + -29292575\/110358. Let p = w - -1970\/9. What is the common denominator of (-551)\/(-154) - 4\/(-14) and p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -8*u + 9. Let z(h) = 14*h - 16. Calculate -5*y(o) - 3*z(o).\nAnswer: -2*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*p + 10 - 28 + 15 + 8 as w*p + k and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 693041381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 313?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3*z = -65, 3*h = -h + 2*z + 106. Let q(j) = -3*j - 21. What is the remainder when h is divided by q(-12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-6 - (-4 + -1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -22*z**3 - 3*z**2 + 3*z. Let t(q) be the third derivative of q**6\/120 + q**5\/60 - q**4\/24 - q**2 - 73*q. Calculate 3*t(w) + u(w).\nAnswer: -19*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 21990646159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 123, 283, 551, 927, 1411?\n\"Answer: 54*x**2 - 2*x + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (11967*c + 408*c**2 - 11967*c + 121*c**2)*(4 - c - 4)*(-2 + 8 - 2) as t*c**2 + r + y*c + f*c**3 and give f.\nAnswer: -2116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*w - 19*w**2 + 4*w - w to the form p*w + k + f*w**2 and give p.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/6))**(-1\/6)*(b*b\/(b*b*b**(-4)*b*b)*b*b)\/b*(b**(-1\/5)\/b)\/b assuming b is positive.\nAnswer: b**(149\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 2*d - 5*j, -j + 40 = -3*d + 38 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 3*p**2 - 5*p + 3. Let d be m(-5). Let n = 22 + d. Let h(y) = -3*y + 0 + y + n. Let c(i) = -i. What is h(c(b))?\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(2\/3))**(-1\/11))**34\/((h**1)**(-9\/8)\/(h*h*h**(-2\/9)*h*h\/h**(-2\/17))) assuming h is positive.\nAnswer: h**(53723\/13464)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-384)\/5*((-126)\/12 + 3). Let q = s - 65. Does 73 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -119*g - 1177. Let u be q(-10). Let p(n) = -2*n**2 + 21*n + 7. Calculate p(u).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13769.56 rounded to the nearest 1000?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) -106\/9 (b) 3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 590 divided by 2279?\nAnswer: 590\/2279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -544223*l = -544286*l + 2898 for l.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*u**3 - 2044 + 21*u**3 - u**3.\nAnswer: 36*u**3 - 2044","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1800*g**2 - 26403*g\/5 - 1791\/5.\nAnswer: 3*(g - 3)*(3000*g + 199)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 93420911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 - 1) + (-260 + 516 - 199)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -15 - (67 + -89)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -130 divided by -6.\nAnswer: 65\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/(189\/(-78)))\/(2\/3).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -72901766 by -5207269.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7633 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 15517 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: How many nanometers are there in 517531.8mm?\nAnswer: 517531800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 AM and 11:34 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 0*x = -3*x - 5, -2*x = 3*b + 3. Put b, 2, -488 in descending order.\nAnswer: 2, b, -488","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 - 0.3. Let z = t - -0.2. Let h = z + -0.5. Which is the third biggest value? (a) h (b) 2\/11 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 683 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -126659490 (b) -4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1087421, 1087418, 1087413, 1087406, 1087397, 1087386, 1087373?\nAnswer: 1087358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24.1265 - 41.\nAnswer: -65.1265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - 7*x + 7. Let z be r(-9). Let j = 12 + z. Let d be j\/((-4)\/15) + 3. Which is the third smallest value? (a) 1\/7 (b) -4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1646040951 a multiple of 1299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13630, -13639, -13648, -13657?\nAnswer: -13666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ieeexevcooooe. Give prob of picking 1 o, 1 e, and 1 x.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 9*l**2. Let z be ((-33)\/12 - (9 + -10))*-32. Let v(q) = -35*q**2 + 14*q**2 + z*q**2. Calculate v(r(m)).\nAnswer: 2835*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2. Let z(r) = 462*r**2 + 3*r + 45. Let d(m) = 463*m**2 + 2*m + 30. Let n(q) = 6*d(q) - 4*z(q). What is j(n(y))?\nAnswer: -864900*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3848124 divided by -6\nAnswer: -641354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31587*q - 25*q**3 + 31007*q - 62594*q.\nAnswer: -25*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3194 - -3324. Calculate the remainder when o is divided by 29.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -6*g + 187. Let y be w(26). Solve 5*f + 9*i = 11*i - y, -i = -3 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01794762431 to 3 dps.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**2\/p*p*(((p\/((p\/((p\/p**(-2))\/p)*p)\/p))\/p)\/p)\/p)\/(p**0)**(5\/3))\/((p**8*p**(-1\/5)*p)\/(p**1)**35) assuming p is positive.\nAnswer: p**(136\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 3*d - 51, -3*d + 17 = -d - 3*u. Suppose 0 = -4*f + 12 + 8, 0 = l + 2*f - d. Let o be 8\/3 + (-2)\/l. Solve -5*v - 17 = 2*r + o, -r = 2*v + 7 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5 + 0 + sqrt(208) + 4)**2 - (-5 + -3*(0 + sqrt(208) + 2)).\nAnswer: -1434 - 348*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1940 rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 781, 775, 771, 769?\nAnswer: 769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 AM and 8:26 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 - (-9 + -5 + 8))\/(2\/964).\nAnswer: 2, 5, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(-3\/34)*m**(-18) assuming m is positive.\nAnswer: m**(-581\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5861.\nAnswer: 5861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, s: 5, e: 7, z: 3}. Give prob of sequence su.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20.39 - 0.39. Let i = -1557689.999991 - -1557710. Let v = h - i. What is v rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1251 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -d4 (base 15) in base 8?\nAnswer: -307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2)*(-12523 + 12523 + 144*o**3).\nAnswer: 288*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3032657 millennia to months.\nAnswer: 3639.1884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -415 - -11207\/27. Let y(a) = a + 2. Let p be y(-2). Is p at least i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j - 2*j**3 + 2*j - 9)*(10 + 3*j - 10).\nAnswer: -6*j**4 - 27*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 1 + -2 + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42b4 (base 14) to base 12.\nAnswer: -6806","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2690187 by 2690187.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1693368 is divided by 238?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + 3)\/((-1)\/15). Let l = -7 - v. What is the remainder when l is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 + 1 - (233 + -232) - (-6 - -11).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 10*h = 180. Suppose -3*f + h = 3*o, -4*f + o - 2 - 3 = 0. Solve z - 1 = -f for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 626, 1246, 1868, 2492, 3118, 3746?\n\"Answer: s**2 + 617*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/52*7434\/(-4956)*(-1 - (-14)\/(-18))?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 2:02 AM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*h**2 + 13*h**2 - 2*h**2 + (0*h - 4*h + h)*(-2*h + 3*h - 3*h)*(-11 - 8 + 6) to k + q*h + x*h**2 and give x.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 + 7*p - 19. Let d be a(9). Let o = d - -70. Calculate the highest common factor of o and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71017 is divided by 3381?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*1*15\/(-9). Let y be ((-2)\/2)\/(i\/60). Suppose 4*v = y - 4. Solve c + 20 = -4*c + 5*d, c = v*d - 3 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27198?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a millennium in years?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 262837 divided by -15461\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -q + 2*f + 254947, -3*f - 50992 = -q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of -30*g**2 - 14*g**4 + 88 + 103 - 202. Find the second derivative of f(d) wrt d.\nAnswer: -336*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 49284, 49269, 49254?\n\"Answer: -15*m + 49299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + 3*k + 2. Let f = 26 - 23. Let g be -4*7\/(14\/f). What are the prime factors of o(g)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.29 + -1.4. What is the second biggest value in 5, -0.1, i?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 38803838 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52*b**4 + 50*b**4 + 217*b**2 - 218*b**2 - 16*b**3 - 3 to the form d*b + s*b**2 + q*b**4 + x + l*b**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 9, 24, 51, 90, 141?\n\"Answer: 6*n**2 - 3*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 - 14*z - 5. Let v be g(-6). Suppose 4*x = v + 73. Is (1 + x\/2)*26 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3959206 is divided by 85.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 973, -3, -2 in descending order.\nAnswer: 973, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 847080*b*h*q**2*z**3 - 3*b*h*q**2*z + 107*b*h*z**2 - 10*b*q**2*z**3 - 10*b*q**2 - 30*q**2*z**2 + 2*q**2 wrt z.\nAnswer: 5082480*b*h*q**2 - 60*b*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = 4*q - h, -3*h - 10 = -5*q - 73. Let r be q*((-5)\/10 + 1). List the prime factors of -15*1\/(9\/r).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7427 = 26*p - 67747. Does 34 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000802 rounded to six decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -5*a - 57, -3*x + 135 = -0*x - 3*a. Let m = 5 - 0. Suppose 4*j + 57 = m*o, 3*j + x = 5*o + 4*j. Solve 4*p - p = o for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 10*l - 105. Let q be a(11). Solve 4*d - 3*h = -16, q*d = -3*h + h - 20 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 2 n, and 1 m when four letters picked without replacement from mfffmfmnmmnnnnffff?\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 66*r**3 + 69*r**2 + 7*r + 15. Let d(y) = -21*y**3 - 21*y**2 - 2*y - 5. What is 7*d(g) + 2*p(g)?\nAnswer: -15*g**3 - 9*g**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -76 - (-14 - (13 - 37) - (9 + 0))\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 160 + 2957 = -2*z, 4*i - 3756 = -4*z. Let b = i - 637. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -9660230.\nAnswer: 1\/4830115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 9*v + v - 13*v - 5. Is x(-14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7127965?\nAnswer: 5, 13, 109661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 11*c + 136. Let r be w(-12). Suppose -4*k + 199 + 725 = -r*x, 0 = -2*k - 5*x + 483. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 822535038*d - 54248377 wrt d.\nAnswer: 822535038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -60, 5, -3, 2, -58 in descending order.\nAnswer: 5, 2, -2, -3, -58, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 53296 and 102776.\nAnswer: 684693712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 4*t + 2, -9*t + 4 = -11*t + 4*h. Let l(i) = i. Let g(f) = 3*f**3 + 4*f**2 - 2*f. Determine t*l(q) + g(q).\nAnswer: 3*q**3 + 4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 43 = -r - 7*l, -4*r = -2*l - 116. Let i = 6173 + -6092. Calculate the remainder when i is divided by r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -9. Let m = j - -2. Find the second derivative of 2*n**4 - n**m + n**4 + 2*n + 3*n**4 wrt n.\nAnswer: 60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -2165, -1\/5, 2\/13, -5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(56) + sqrt(56) + sqrt(1400)))\/(-1*sqrt(35)\/sqrt(5)).\nAnswer: -28*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*v - 5*v**2 + 12*v**2 - 8*v**2 in the form i + p*v + m*v**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 126 + -122. What is the common denominator of -101\/40 and r + -4 + 10\/64?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3*x = -2*x + 3, -2*k = -3*x - 3. Suppose -3*a - 251388 = -3*l, l + k*a - 83812 = 3*a. What is l rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3 = -q, 3*f + q + 6 = 0. Let a = -6 - -10. Let h = a + f. Let y(b) = b + 2. Determine y(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 17 = -4. Let i(b) = -b + 4. Let t be i(k). Solve 3*g - 5 = 5*g + 5*a, 0 = -4*g - 3*a + t for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0512367*-3.\nAnswer: -0.1537101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0599 times 5?\nAnswer: -0.2995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -2 - (15 + -45 + 33)) + -2 - -76?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9572*j*m**3*t - 5*m**3*t + m - 336*t wrt j?\nAnswer: 9572*m**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -95*l**2 + 2*l. Let m(b) = b**2. Give m(o(a)).\nAnswer: 9025*a**4 - 380*a**3 + 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rh when two letters picked without replacement from kxrhx?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72, 160, 314, 540, 844, 1232, 1710, 2284?\nAnswer: 2960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12314, 11846, 11378, 10910, 10442?\nAnswer: 9974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 897292?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124 is divided by 63.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 6*h - 490 = 0. Suppose -h = -w - 4*w. Suppose -w*p + 11*p + 120 = 0. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 199 and -0.01.\nAnswer: 198.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 1133 = 575. Suppose z + 4*z = -2*o + 299, 4*o - i = -4*z. What are the prime factors of z?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4125510 by -825102.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 757385 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28053*p - 571057*p - 858392*p - 170912*p.\nAnswer: -1628414*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*218.\nAnswer: 1090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -7*m. Let q be (-33)\/(-6)*-1*2. Let a(v) = 13*v. Let h(c) = q*g(c) - 6*a(c). Let o(z) = -2*z. What is o(h(w))?\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -83313364\nAnswer: 33325345.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 6 + 2*l + 3.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4316493 rounded to the nearest ten thousand?\nAnswer: -4320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, -2, -0.08, 3, -1, 5512 in descending order.\nAnswer: 5512, 24, 3, -0.08, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-618)\/(-26265) + 1128\/(-4590)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.118530691 and -0.2.\nAnswer: 0.0237061382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-15)\/(-8 - 348\/(-40))*-42. What is the greatest common factor of 400 and b?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*b*c**3 - 70*b*c**2 - 8634*b*c + 2*b - 2*c**3 - c**2 wrt c.\nAnswer: 18*b*c - 140*b - 12*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**3 + 80*v**2 + 32*v - 1280 = 0. What is v?\nAnswer: -4, 4, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 4*o**2 + 4*o + 2. Let q be s(-2). Let z(l) = -6*l + 3*l + q + 2*l. Let n(b) = -1. What is -5*n(a) - 2*z(a)?\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of y**9\/168 - y**8\/112 + 9*y**7\/35 - y**5\/20 + y**4\/12 - 25*y**3\/3 - 449*y**2 - y. What is the third derivative of s(j) wrt j?\nAnswer: 360*j**3 - 180*j**2 + 1296*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 328180?\nAnswer: 328183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -1728*h - 12127. Determine c(-7).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3272641738 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*m**3 - 21\/4*m + 7\/2*m**2 - 9.\nAnswer: -(m - 12)*(m - 3)*(m + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 (base 6) in base 5?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -4340*l**4 + 7*l**3 + 6*l**2 + 8*l - 17. Let y(p) = -2*p**4 + p**3 + p - 3. Let v(k) = t(k) - 7*y(k). What is the third derivative of v(g) wrt g?\nAnswer: -103824*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -301*o**2 - 2*o + 915.\nAnswer: -602*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - 37121034.\nAnswer: -37121033.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*s - 6576 = -4309 - 52439. What is the highest common divisor of 1017 and s?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 18\/(-210) - ((-16)\/(-14))\/(-4). Put 0.1, o, -2\/13, -5 in descending order.\nAnswer: o, 0.1, -2\/13, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 66\/297*(0 - -222) + 6\/9. Solve -67 = m*f + 33 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 110283826 to the nearest 100000.\nAnswer: 110300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 18*i - 51. Let l be r(14). Suppose 0 = u - l*m + 23, 3*u - m + 17 = m. Let g(y) = y**2 + 3. What is g(u)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30732669223 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/2 + 4839\/2702. Let k = -1\/193 + a. What is the closest to 2 in k, 2\/19, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112 = 4*a + 5*f - f, -7*a - 5*f - 37 = 105 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = -4*h - 8. Solve 5 = 5*s + 5*m, 0*s = -3*s + 4*m - h for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 850 + -819. Suppose -k + 4*w + 110 = k, -4*k = -2*w - 238. What is the remainder when k is divided by i?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -562*r + 630 = -652*r for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8299 + 614105\/74. Let b = 5646973\/1711210 + 2\/171121. Find the common denominator of b and w.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m - 19. Calculate a(15).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 58987372219 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 8) in base 11?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 3*k - 65557, -38053 = -3*a + 2*k + 11085. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-153)\/(-36) - 5)\/(-6). What is the closest to -0.03 in l, 2, -0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 240 = 3*s. Suppose 0 = 3*t - m - 48, -3*t + 0 = 5*m - 30. What is the highest common factor of s and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 270594756.\nAnswer: 2, 3, 101, 8269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21923 + 84314011.\nAnswer: 84335934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**3 - 2*k**3 + 3*k**3)*(-672 - 724 - 11349*k + 1396).\nAnswer: 22698*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8910\/7920)\/((11\/(-220))\/((-132)\/45)).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 w when two letters picked without replacement from {l: 2, d: 5, w: 4}?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -639*n**3 - 854*n**3 + 2380*n + 1229*n**3 wrt n?\nAnswer: -1584*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9461.\nAnswer: 9461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/195 and -43\/2564880.\nAnswer: 33343440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/13969 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 359?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/3)\/(-11*4\/990)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57202763.\nAnswer: 263, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 71*v**3 - 2*v**2 + 2*v + 1. Suppose 0 = -5*s + 4*f - 1 + 27, 8 = -2*f. Is c(s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 50 = -2*g. Let n = 17 + g. Suppose -n = -2*q + 1. Solve -4*s + 7 = -3*u, 3*u - q*u + 3 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.5916, -7, -28 in decreasing order.\nAnswer: -3.5916, -7, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/(-6))\/(((-252)\/(-173))\/(-3)). Let f be (-2)\/21*(-6)\/(-54)*-3. Let z = f - l. Calculate the common denominator of 11 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 6 - 2*w + 25*w**2 + 5 - 12. Let k be d(-1). Is 4\/k + 3417\/13 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 23, 66, 145, 266, 435?\n\"Answer: a**3 + 12*a**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 182, 178, 174, 170?\nAnswer: 166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 512 and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 4*c - 3 = 0, 3*y - c - 9 = y. Suppose -y*h + 0*h + 12 = 0. Suppose -80 = -o - h*o. Is o a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 686840*w**3 - 1271607*w wrt w.\nAnswer: 4121040*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/(-3 - -8) - (-272)\/(-935)*20?\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 450695239 to the nearest integer?\nAnswer: 767","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4010541*a*d*x + a*d + 222*a*x - a + d - 94*x - 49 wrt d?\nAnswer: -4010541*a*x + a + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 less than 29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g**2 + 4*g + 836. Let z be l(0). Suppose -92 + 510 = 2*f - 4*d, -4*d - z = -4*f. Is f a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/2100*15*(5\/40)\/((-48)\/80)\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 2*x**2 + 3*x + 10. Let v be l(-3). Solve -4*t + h - 6*h + v = 0, -3*h = -5*t - 6 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -32 or -52?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6 + -5)\/(4\/12). Let f be 6 + 0*(-5)\/25. Solve g - i*g = f for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 12:44 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 16 = f - 0*f, -5*f = 3*d + 10. Let m = -5 - d. Suppose 18 = 2*r + y, 2*y = -m*r + 3*y + 59. What are the prime factors of r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -784 = -3*w + 248. Suppose -3*z + w = 5*b + z, -80 = -b + 2*z. What is the common denominator of ((-2)\/9)\/(b\/3753) and -107\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -815\/24 + 5801\/168. What is the closest to 2 in a, -408, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45052603 (base 7) in base 13?\nAnswer: -a65097","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24412287*v**2 - 158007*v - 15.\nAnswer: -48824574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 175117367 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ler when three letters picked without replacement from {e: 9, l: 3, d: 1, h: 2, r: 3}.\nAnswer: 9\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 34493.79 to the nearest one thousand.\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 34090?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 7:25 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 13738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4524, 17970, 40380, 71754, 112092, 161394, 219660?\n\"Answer: 4482*n**2 + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -9 - (10 + -4)*-37 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 17 = -5*a + 7, -a + 5*p = 12. Let n = -18 - -48. What is the smallest common multiple of a and n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -156*d + 151*d. Let x be 2\/(-3)*3\/(-2). Let s(w) = 10*w - 11*w + 10 - x + d. Calculate s(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6206306934?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4\/4 + 29167*k**3\/2 - 875910*k**2.\nAnswer: k**2*(k - 60)*(k + 58394)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 4, -2, 19, -6186, -1 in descending order.\nAnswer: 19, 5, 4, 3, -1, -2, -6186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 251*r - 224*r - 257985 = 0. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1005\/52 + 9\/52. Calculate the common denominator of i and -1\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*m**3 - 6*m**3 - 7*m**3 + 2*m**3.\nAnswer: -27*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5778155 and -9.\nAnswer: 52003395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 31\/7 + (-3)\/7. What is the third derivative of v**2 + v**c - 5*v**4 + 3*v**2 wrt v?\nAnswer: -96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 63.419 + -28.419. Which is smaller: -210 or l?\nAnswer: -210","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 36418178.04 to the nearest 100000.\nAnswer: 36400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*i**2*t + 15103*i**2 + i*t + 17522*t wrt i.\nAnswer: -6*t + 30206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -30225887 greater than or equal to -30225887?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 10*w = -931. Let z be ((-36)\/14 - -2)\/(38\/w). Suppose -30 = -5*n + 30. Solve -z*f - n = 2*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5236*(-3 + 1 - (-9)\/2). Round j to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -32.2443 to 1 decimal place.\nAnswer: -32.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f + 8. Let v be c(-7). Let q = 2 + v. Let g(i) = -2 + 0*i - 2*i + 3 + 1. Give g(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 82316*v - 1152389. Determine g(14).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 45875 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of -a**6\/15 + 7*a**3\/6 + 6*a. Find the second derivative of s(b) wrt b.\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -3*s**3 - 9*s**2 + 8. Let g = 9 - 13. Does 7 divide d(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - 1. Let v be 4559988\/t - (-3)\/(-2). What is v rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36384*z**2 - 21881*z**2 - 30420*z**2 - 15781*z**2.\nAnswer: -104466*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**6)\/r*r**(2\/11)*(r**2)**49 assuming r is positive.\nAnswer: r**(1146\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -m, 0 = 3*x - 3*m - 18 - 0. Solve x*l - 10 = -z - 1, -5*l = -3*z - 24 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = -1129 + 1229 for p.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3.7 * 0.8\nAnswer: -2.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 4:28 PM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 1 = 2. Suppose -q*t + 7 = -2. Find the first derivative of 0 - 7*s**2 + 2*s**2 + t*s**2 - 5 wrt s.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 + 3 + (-6)\/3. Suppose n*m + 2 = -s, s - 4*m + 1 = 8. Let y(l) = -6 - s*l + l + 0*l. Give y(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -9. Let y be f - (14 - (1 - 1)). Let i = -8 - y. Solve -l = -i*s - 2 - 6, 2*l - 11 = 5*s for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -55524*q - 133275 with respect to q.\nAnswer: -55524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**3 - 2*z**3 - 5*z**3)*(0 + 0 + 1)*(2*z - 3*z + 0*z).\nAnswer: 4*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -9, -2, -5\/6, 1\/4 in descending order.\nAnswer: 0.4, 1\/4, -5\/6, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v - 16*v + 11*v - 629*v**2.\nAnswer: -629*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1105846117 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 20671239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vfvvcccvvccvccvcvvf. Give prob of picking 1 v and 2 c.\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 5*f + 2668 = -9*f, 3*f - 6631 = -5*v. Let j = v + -810. List the prime factors of j.\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4052 (base 6) to base 9\nAnswer: 1205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5 + 4)*(-2*d**2 + 0*d**2 - d**2 + (-d + 2*d - 1 + 2)*(d - 2*d + 6*d)).\nAnswer: 20*d**2 + 50*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.15 - 0.07. Let g = -2.42 - u. Let w = g - -2.415. What is w rounded to two dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 16) in base 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -4*d - 128. Let w = -13 - d. Suppose -38 = -w*s + 18*s. What is the remainder when s is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**2 - 8*p**2 - 6*p**2.\nAnswer: -11*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 12) in base 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 1\/3 (b) 0.3 (c) 1.2 (d) -0.8 (e) -29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 391392.\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -971.72 + 954. Let m = d - 0.28. Let i = m - -17.9999957. Round i to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.049 - -0.151. Let t = 126 - 123.08. Let l = -0.08 - t. What is the nearest to o in l, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + -54 + (4 - 2 - -3 - -7).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -99861, -99803, -99745, -99687, -99629?\n\"Answer: 58*k - 99919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/4*2*42\/12?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.7 + -0.3. Let k = -326 - -171. Let n = 160 + k. Which is the second biggest value? (a) -0.3 (b) n (c) -3 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.12 + 140.12. Let g = q - 134.24. Let v = g + -2.5. Round v to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 44*w - 9. What is the smallest common multiple of s(3) and 376 - 382 - (-1)\/(1\/18)?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 154524542 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 159684599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -219*v**4 + 217*v**4 + 15*v**3 + 71 + 192*v**2 - 69 to f*v**3 + i*v**4 + q*v + s + l*v**2 and give l.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 47, 107, 207, 359, 575, 867, 1247?\nAnswer: 1727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 41783214 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**2 - 2*q**2 + 6*q**2)*(-1578*q**2 + 3038*q**2 + 1 - 1636*q**2).\nAnswer: -176*q**4 + q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*g = -4*l - 8, -5*g + 3 = -552*l + 549*l - 2*g - 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.05, 7, -0.3, 3\/4 in decreasing order.\nAnswer: 7, 3\/4, 0.05, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 186 = -7*c + 4*c, 0 = 4*c - 4*f - 244. Suppose 0 = 5*l - 4*i - 56, -2*i - 48 = -6*l + l. Calculate the greatest common factor of c and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 5*h + 1060, 1231 = -4*d + 2*h + 377. Let c = d - -118. Let z = -85 - c. Solve -3*u - z = u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - o = -30259, -3*o - 3241 = -2*f + 16950. Does 52 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 134595?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1513218 and 196?\nAnswer: 3026436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 6*i**3 + 6*i**2 + 4. Suppose 30*k = 31*k - 7. Suppose -5*h - 65 = 8*h. Let b(t) = 4*t**2 - t**3 + 3 + 5*t**3 + 0. Calculate h*n(c) + k*b(c).\nAnswer: -2*c**3 - 2*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 745 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*q**3 + 6*q**3 - 38*q**3 + (36*q - 30*q + 43*q)*(2*q**2 - q**2 + 0*q**2).\nAnswer: 27*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -18.3023 from 2412.\nAnswer: 2430.3023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-12)\/15)\/(4\/(-70)). Let h = -19 + a. Put 0, h, -4 in increasing order.\nAnswer: h, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112 + -200?\nAnswer: -1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-one quarters of a gram in milligrams?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/((702\/84)\/13*7\/3).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = -49 - 35. Calculate the highest common factor of 84 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 - 2) + 3*10\/(-15). Suppose -4*q + c + 4 = 0. Let m be 3 - (3\/q + -3). Solve m*z - z = 6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37 and 88291990.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 4143190*i**3 - 8 - 4143013*i**3.\nAnswer: 177*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 19981 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 4*j**3 + 2*j**2 - 4*j + 4. Let z be u(4). Let p = 37 + -26. Calculate the remainder when (-4)\/(-14) + z\/14 is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2498 + 2490 - 9984 + 2497 + 2499 - 19*a + 3*a.\nAnswer: -16*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*p + 11*p + 4*a = -14, -2*a = -2*p + 10 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5703?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*q = 4*q + 39*q - 4023810. List the prime factors of q.\nAnswer: 3, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - ((-5 - (18 + -33)) + 16).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2023 + -882. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 5*n - i - i, -2 = -n + i for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 46\/(19\/(-38)*-4)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -75, -2, 0.4, 2, -325, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3833 is divided by 1155.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) - (sqrt(288) + (sqrt(288) + 1 + (1 + sqrt(288) - sqrt(288)))**2)) + 1 + (2*(sqrt(288) + 0) - (-4 + sqrt(288)*-2 + sqrt(288)))**2.\nAnswer: 240*sqrt(2) + 2317","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6541595, -6541593, -6541583, -6541559, -6541515, -6541445, -6541343, -6541203?\nAnswer: -6541019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 224320 rounded to the nearest one thousand?\nAnswer: 224000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -108*u**3 - 543*u**2 - 17*u - 24. What is a(-5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3\/22)\/z)\/(z\/(z**8\/z)*z) assuming z is positive.\nAnswer: z**(85\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3132253 - 24?\nAnswer: 3132225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.231 and 2.\nAnswer: 0.462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1792.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of 0*v + 1\/2*v**2 - 1. Let s(f) = 6*f**2 + 5*f - 5. Let a(k) = 5*k**2 + 4*k - 4. Let z(x) = -5*a(x) + 4*s(x). Give i(z(l)).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {y: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + x. Let f be u(4). Let g(y) = 57*y + 34. Let i(z) = -19*z - 11. Let r(j) = -6*g(j) - 17*i(j). Is r(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - -9. Suppose -r = -l - 11. Solve -5*t - 2*y + r = -3*y, 2*y = -t - 6 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*(v\/v**(-4\/7))\/v*v*v)\/v)\/(v*v**(1\/26)*v)*(v*v**(-28))**(-39) assuming v is positive.\nAnswer: v**(191925\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2\/13, 239, 2.3 in decreasing order.\nAnswer: 239, 2.3, 2, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 29*u + 15 = -32*u, 0 = -2*u for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -8*a + 104. Let t(c) = -13*c + 162. Let m(l) = -8*j(l) + 5*t(l). Give m(-25).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -308244 to the nearest ten thousand.\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41208520 is divided by 91.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k - 216875 + 4*k - 214704 + 431579.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20.836 - 21.966. Sort -2\/41, -1, t in decreasing order.\nAnswer: -2\/41, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -123*s + 119*s - 254, -12 = 2*s. Solve -13*z + t = 89 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29767 to the power of 1\/2, to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -116541, -117456, -118975, -121092, -123801, -127096?\n\"Answer: n**3 - 308*n**2 + 2*n - 116236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -52 + 188. What is the highest common factor of 170 and k?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/14388 and -21\/44.\nAnswer: 14388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-10)*-1*(-48)\/56?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 3*p**3 - 2*p**2 - 2*p. Let l(n) = -n**3 + n. Let b be 1*2 + 12\/(-3). Calculate b*l(h) - f(h).\nAnswer: -h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/30*(-1)\/3?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3*x + 42 = -0*u, -38 = -2*u + 4*x. What is the remainder when u is divided by (14\/4)\/((-1)\/(-2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0, 0.2, -23 in ascending order.\nAnswer: -23, -0.4, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*c = 5, 5*c = 4*h - 533. What are the prime factors of h?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/(-2) + (-3)\/6. Let z be (-3)\/(-6)*-1*6. Let l be 26\/(-6) + (-1)\/z. Which is bigger: l or i?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 5*u + 10 = 0, -3*o + 13 = -12*u + 14*u. Solve -3*z = o*t - 13, t = 3*z + 2*t + 7 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*u = u - 7084. Determine m so that -1527 - u + 75 - 4*m**2 - 544 - 192*m = 0.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 56 - -1515?\nAnswer: 1604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, n: 11}. Give prob of sequence nnx.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1499?\nAnswer: 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 201289\nAnswer: 1\/201289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.7733706ug?\nAnswer: 0.0007733706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000537601 rounded to 5 decimal places?\nAnswer: 0.00054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k - 2*k - 4*k)*(3 - 4 + 3)*(22 - 5 + 3).\nAnswer: -80*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 94 = 114. Let m = 69 + p. List the prime factors of (2 + 2)\/(1\/m).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (48\/(-54)*(-1)\/(-4))\/((-15)\/2700)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5*x = -6. Let g = 84 - 81. Suppose 5*h + 3*v - 3 + 2 = 0, g = -3*h - 3*v. Calculate the smallest common multiple of x and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30395350 < 30395350?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 223464 and 4632?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 26*m - 1. Let n be t(-1). Let z = n + 91. Suppose 0 = -2*u - 3*j + 13, -3*u + 0*j + j = -25. What is the highest common divisor of u and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-4)*0\/(-4). Suppose -5*f - 5*r = -0*r + 5, n = -2*f + 5*r - 2. Let d = 11941 - 11940. Is f < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -4*i - 12. Let p = -11 + 3. Does 10 divide n(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 686, 0.4, -1, -6, -2, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y**(-4)\/y)*y*y**(-8\/3))**(-16)*(y\/y**1)\/y**(2\/9)*(y\/(y\/(y\/(y\/y**(-3))*y*y)))\/y*y*y**6*y assuming y is positive.\nAnswer: y**(-716\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 374 and 141966847?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5, 1, -5, -13, -23, -35?\n\"Answer: -x**2 - x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 7*o**3 + 4532*o**2 + 1940*o - 609. Calculate c(-647).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*5*(-3 + sqrt(3328) + -5*sqrt(3328)))**2 + 5 + 2.\nAnswer: 38400*sqrt(13) + 5325707","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1894\/9 (b) -3 (c) 0.05 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1*w*w**5)**(-22)*(((w\/w**(12\/11))\/w*w)\/(w**(-7)\/w))**(4\/9) assuming w is positive.\nAnswer: w**(-4966\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 12) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b\/(b*b**(2\/9)))\/b))**23\/(b*b*b**(-3)\/b*b)**(-43) assuming b is positive.\nAnswer: b**(73\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6\/107 - -398\/535. Let w = 11 - 9. What is the biggest value in w, x, 0, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3. Let r(b) = 6*b**3 + 8*b**2 - 2*b - 10. Let g(z) = r(z) + 5*u(z). Give g(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5649 and 78?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 7 + 1)*(-s + 0*s + 0*s)*(165*s**2 - 95*s**2 + 351*s**2) to y + w*s**3 + i*s**2 + u*s and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t + 31*t - 9514 = 9668. Solve 2*o = -t + 429 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 615?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 225*v. Let r(h) = h**2. Give r(i(f)).\nAnswer: 50625*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96637556.\nAnswer: 2, 167, 144667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 10, z: 2, b: 4}. What is prob of picking 1 b, 1 u, and 1 z?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -222367\/63 - -24709\/7. Let n - 2\/9*p**2 + 0*p = 0. What is p?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/5264168 and 89\/910.\nAnswer: 26320840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1.13635ml?\nAnswer: 0.00113635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 20*q + 310. Let s be o(-16). What is the hundreds digit of (-7382)\/s - (-10)\/(-50)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*w - 6103 = -5863 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.362558 + 3.7426448. Let u = 3.62 + j. What is u rounded to 5 dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 3. Suppose v = -33*y + 37*y - 636. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16552983.\nAnswer: 3, 5517661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*y + 24*y - 21 = -5*b, 4*b - 8 = -3*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 0, 1.\nAnswer: -13, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**(-2)))**(4\/15)\/(c**3\/(c**(-8)\/c)) assuming c is positive.\nAnswer: c**(-172\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (16\/(-196))\/((-32)\/(-112)). Which is the fifth smallest value? (a) -4 (b) l (c) -2\/17 (d) -74 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -2*b**3 + 105*b + 1\/2*b**2 - 163. What is the first derivative of h(k) wrt k?\nAnswer: -12*k + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48661553 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q + 10*q - 3*q + 5*q to the form f + o*q and give o.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pbr when three letters picked without replacement from pbbpbrbbbrbb?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 121744419 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + -4)*-1 - 1. Suppose -103 = -l*t - 19. What is the highest common factor of t and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != 650\/493?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 6:33 PM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a factor of 8672035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-56))\/(66\/330)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1105019?\nAnswer: 1105019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2028 - 34475\/17. Put -3\/2, 2\/3, b, 0.5 in increasing order.\nAnswer: -3\/2, b, 0.5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 535 + -336. Let j = -191 + b. What is the greatest common factor of j and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -823770 divided by -2034.\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 7, u: 2, y: 2}. What is prob of picking 3 o?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -85 + -18?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -18 + -1 + 2 + -2. Let j = c + 19. Differentiate -3*k**2 + j - 3 - 3*k**2 + 7*k**2 wrt k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/(-9) - (376\/(-30))\/1 and 53\/44.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-40)\/30)\/(2\/(-3321)). Suppose -11334 = 4*t - v. What is t rounded to the nearest one hundred?\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f - 6*f - 600 = -33*f for f.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -1\/3, -14, 0.17 in descending order.\nAnswer: 0.17, -0.3, -1\/3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002945 to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 164*j**2 - 2*j - 4. Let c be n(-1). Suppose -27*o + 28*o = c. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -58*g**5*i + 7600*g**4*i + 5*g**3 + 135*g**2*i - 4*g**2 - 694*g*i + 2*g wrt g?\nAnswer: -3480*g**2*i + 182400*g*i + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/84)\/((-30)\/270)?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s - 370 + 365 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -194*m - 294 wrt m?\nAnswer: -194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -7*a + 2. Let l(g) = 6*g + 19. Determine l(m) - 4*r(m).\nAnswer: 34*m + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 - w**2 - w + 3. Let a be (-2 + -1)*6 - 3. Let c be 1\/(-3) - 7\/a. Calculate t(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.851 - -0.751. What is the closest to h in -0.3, 2\/3, -30?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 1 + (3 - 3 + 2)*(1 - 1 - 1) + 2 - 3 - 2 - 4 + 3 + 0)*(33 + m + 8 + 27).\nAnswer: -8*m - 544","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1632709?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4000740799 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 32 = f. Solve 2*b - 4*x = f, 0*b + x + 18 = 4*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38890*j**3 + 2986*j - 5985*j + 2999*j.\nAnswer: -38890*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42 - (-50 - -2)) + 25.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 5 + 0 + -87 - (-15 - (8 + -15))?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 10*z**2 + 13*z - 98. Let i be b(10). Suppose -18 = -i*q + 23*q. Solve -q*v = -23 + 13 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -137b?\nAnswer: -1382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7\/(-2)*(-60)\/35. Let d = w - -3. Suppose -y + d = -2. Calculate the remainder when y is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1121 and 236?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**5*m\/((m\/m**(-2\/7))\/m))**47 assuming m is positive.\nAnswer: m**(1880\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 147063 + 2707?\nAnswer: 151772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of 14*t**3\/3 - 11*t**2\/2 - 6*t + 6487. Let d(k) = 9*k**2 - 7*k - 4. Determine -5*c(f) + 8*d(f).\nAnswer: 2*f**2 - f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7005249 and 21015747?\nAnswer: 21015747","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17132690 and 20485?\nAnswer: 1205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + (-3 - -6) + -16. Is 9249\/6 + (-21)\/f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 1, 4*y + 80640 = 8*y - 4*l. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2069?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 times 10?\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.2, -1\/4, 1\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - -4 - 2)*(-1 - -4). Let q = 114 + x. What are the prime factors of q?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -330034241 + 21?\nAnswer: -330034220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37635?\nAnswer: 3, 5, 13, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -6*b**3 + 3*b + 2. Let v be g(-2). Suppose -v = -13*i + 2*i. Solve 2*j + 5*l - 2 - 3 = 0, -i*l = 4*j - 16 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 0*i + 2*i)*(0 + 0 - 4).\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*z + 56*z + 60*z**2.\nAnswer: 60*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + -2)\/((-351)\/52). Which is the smallest value? (a) 4\/7 (b) v (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 13*h - 91*h**2 + 45*h**2 + 35 + 45*h**2. Let q be r(15). Determine n, given that 4\/7*n**2 - 6\/7*n**4 - 6\/7*n + 2\/7*n**q + 4\/7*n**3 + 2\/7 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/2342335 and -16\/159.\nAnswer: 7027005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 36924, 36922, 36918, 36912, 36904, 36894?\n\"Answer: -j**2 + j + 36924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2443878052?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1365, 5637, 12813, 22893, 35877, 51765, 70557?\n\"Answer: 1452*u**2 - 84*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -45*d**3*u**2 - d**3 - 2*d**2 + 7973*u**2 wrt d.\nAnswer: -135*d**2*u**2 - 3*d**2 - 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.76414066 rounded to 4 decimal places?\nAnswer: 6.7641","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i + 0*i + 2 + 1. Let d be y(-9). Let z(n) = n + 2. Let q be z(5). What is the greatest common factor of d and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*c + n - 3, 2*c - 3*n - 15 = 0. Let u be (37\/(-740))\/(2\/605). Let o = u - -31\/2. What is the closest to -2 in -0.3, c, o?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 415.1604s to nanoseconds.\nAnswer: 415160400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (96*t - 74*t + 75*t + 52*t + (-2 + 2 - 1)*(-2*t + 3*t + 0*t))*(-22 + 14 + 15) in the form o*t + c and give o.\nAnswer: 1036","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (1 + sqrt(1584))*1)*2)**2.\nAnswer: 6336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14022 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 14*a**3 + 5*a**2 - 5*a - 5. Let f(b) = 99*b**3 + 36*b**2 - 36*b - 36. What is -36*d(x) + 5*f(x)?\nAnswer: -9*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f**4\/7 + 54*f**3\/7 + 153*f**2\/7 - 30*f = 0. What is f?\nAnswer: -14, -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7855, 15709, 23563, 31417, 39271, 47125?\nAnswer: 54979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 61768 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-9) - (-672)\/(-108). Let r(q) = q**2 + 6*q - 3. What is r(u)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from klrokltrrltor. What is prob of sequence lrlr?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-10\/11)\/(i*i**(15\/2)))\/(i**(-1\/8)\/i**(-1\/4)) assuming i is positive.\nAnswer: i**(-839\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 388816844 and 6136.\nAnswer: 3068","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2. Let h(j) be the first derivative of 133*j**2\/2 + 114*j + 32. Let q(i) = -i - 1. Let y(n) = -h(n) - 114*q(n). Determine l(y(s)).\nAnswer: 361*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/1989052 and 71\/6961682.\nAnswer: 13923364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/((r**(1\/6)\/r)\/r)))\/(r*r\/(r\/r**(-13))))**21 assuming r is positive.\nAnswer: r**(427\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 105*z - 8 + 10 + 2 to the form l*z + u and give l.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**6)**16)**(3\/17) assuming i is positive.\nAnswer: i**(-240\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/9*(-1 - 2). Let n(x) = -x**2 + 5. Let f be n(-2). Sort -5, f, u.\nAnswer: -5, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kfao when four letters picked without replacement from oaifqfk?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/12 and 19\/2772.\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 202 (base 6) to base 7\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-8 - -2 - (-2 + -8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 335*k - 1 + 1 to the form x*k + s and give x.\nAnswer: 335","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 439300 to the power of 1\/2, to the nearest integer?\nAnswer: 663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 507729 = 8*a + 5*h, -5*a + 211455 = -2*h - 105850. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 457827?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 116162\/3 + 1\/6*j**2 + 482\/3*j = 0.\nAnswer: -482","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 5412100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p + 17719 = 4*f + 17685, 2*f + 28 = -2*p for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of -5*r**4\/6 + 29*r**2\/2 + 20*r. Find the first derivative of i(n) wrt n.\nAnswer: -20*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -357035935 rounded to the nearest one hundred thousand?\nAnswer: -357000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*x**2 - 2560*x + 198075 = 0. What is x?\nAnswer: 95, 417","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33*t**3 - 2*t**4 + 33*t**3)*(t - 2*t + 2*t).\nAnswer: -2*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16? (a) 0 (b) -1\/4 (c) -2\/7 (d) -636 (e) -7 (f) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 35594*d**2 + 9*d + 1528766 wrt d?\nAnswer: 71188*d + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -854*q + 6006. Let i be p(7). Solve -30*w - 5*b = -27*w - i, 0 = 3*w - 2*b + 7 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v - 2. Let z(t) = -3*t - 8. Let u(n) = -n**3 + 8*n**2 + n - 69. Let f be u(6). Let h(p) = -p**2 + 7*p - 2. Let b be h(7). Determine b*z(o) + f*a(o).\nAnswer: -3*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -98*z - 7. What is the tens digit of j(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51.1 - 51. Let s = -113 - -112.863. Let r = 0.563 - s. What is the closest to o in r, 1\/3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 - 5\/(-2))*-4. Suppose 14 = q*r + 2*o, -2*r + 8 = 4*o - 14. Solve f - r*f = -5*b + 14, -11 = b - 5*f for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + 22\/(-10) + (-1566)\/45. What is the remainder when 8\/28 + (5115\/i)\/(-3) is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -5*k - 19 - 11, -2 = -4*k - 2*h for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (102\/(-30) + 5)\/(4\/10). Suppose -15 = -v*n + n. Let m = -5 + 4. Sort m, -5, n in decreasing order.\nAnswer: n, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -10)\/(126 + -139).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -94, -2, 2036 in descending order.\nAnswer: 2036, -2, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 7 = u - 4*u, 0*d - 5*d = 5*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lpl when three letters picked without replacement from {l: 2, p: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3081 + 3102. Solve 17*l - s*l = -4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 3*n - 10*n - 4*n - 4*n. Let f(h) = 9*h + 2*h - 13*h. Calculate l(f(w)).\nAnswer: 30*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 129 + -121. Suppose -70 = -z*r + 18*r. Let q(w) be the second derivative of -w**3\/3 - 3*w**2 + w. What is q(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*1*(2 + -3). Let u be 22\/10 + 0 + -2. Are r and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/1*1\/(-4). Let b(m) = 5*m - 5. Let x be b(7). Calculate the highest common factor of x and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 1 - 3 = 0. Suppose 0 = -5*f + 2*w + 857 + 70, u*f + 4*w = 390. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/29, -7, 36?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 94*g - 552 + 552 + 3*g + 0*g - g + (-3 + 3 - 2*g)*(-2 + 1 - 1) + g - 3*g + 0*g - 1 + 1 - 2*g.\nAnswer: 96*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1691 a factor of 38050882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -33*i**3 - 22*i**2 - 14*i - 18. What is the remainder when 885 is divided by j(-2)?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 5*r**2 + 15*r + 68. Calculate o(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5713*a**3*h*w**3 - 17*a**3*h - 72511*a**3*w**2 + 58*h*w**3 wrt w.\nAnswer: 34278*a**3*h + 348*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 20 = 0, 5*x = -5*n + 2*n + 32. Suppose -b - 10 = w, -w = 3*w - 5*b + x. Let a = w + 10. What is the least common multiple of a and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7545, 14712, 21849, 28956, 36033, 43080?\n\"Answer: -15*t**2 + 7212*t + 348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x + 3*x**3 - 3*x**2 + x**2 + x + x**2 + x**4 to the form u*x**3 + o*x**2 + z*x + b*x**4 + j and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00100601472 rounded to seven dps?\nAnswer: 0.001006","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4383665056?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of 4 + l + 1\/3*l**3 + l**2. Let y(v) = -v - 2. Let j be y(0). Calculate n(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2563*d**2 + d + 203 + 12770*d**2 - 203.\nAnswer: 10207*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/1391333 or 0?\nAnswer: -4\/1391333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.001 and -3272.\nAnswer: 3.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89127 (base 10) to base 6.\nAnswer: 1524343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**3)\/(m*m*m\/(m\/(m*m*m**(-5\/2))*m*m*m)))**49 assuming m is positive.\nAnswer: m**(539\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 - 3*q + 3*q)*(-4*q - 3*q + 6*q + 1603*q + 571*q + 404*q + (4 - 2 + 0)*(-2*q + q - q))*(q + q**2 - q).\nAnswer: 2573*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3 - 2 + 3*v - 2 - 2*v. Determine b(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 1 = 53*v - 56*v, v + 4*g = -27 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/711, 8.37, 5?\nAnswer: 2\/711","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/(-3*sqrt(11)) - ((-1 + sqrt(3))*-4 + sqrt(3)))**2 + (-1*sqrt(147) + sqrt(147) + sqrt(147) - ((-3*sqrt(363))**2 - sqrt(363))) + 2 + 0.\nAnswer: -9683\/3 - 10*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -67723, -67735, -67747?\n\"Answer: -12*o - 67711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -3*a**2 - 2*a. Let r(j) = -2*j**2 - j. Give 3*f(t) - 4*r(t).\nAnswer: -t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 252883654 a multiple of 1558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 266597960?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 349238\/9 + -38804. Which is the nearest to q? (a) -0.07 (b) 0.2 (c) -3\/20 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 5 = x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((13 - 5)\/216)\/((-1)\/3). What is the closest to 0.1 in h, 2.1, -1\/4, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 10 = 2*v, -x + 3*v = -145 + 135. Put 0, 4, 301, x in decreasing order.\nAnswer: 301, 4, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20\/297 + -21287\/2970. Find the common denominator of f and -73\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 271269 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fppp when four letters picked without replacement from {c: 1, f: 12, p: 3}?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t - 1. Let c be q(0). Let p be 4 + (-2 - (c + -1)). Let s(a) = 0 - a + 0 + 2*a + 2. What is s(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82899 divided by 61?\nAnswer: 1359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-140)\/(-8))\/(-5)*-26. Suppose 4*m - 3*a = x, -3*m = 2*m + a - 90. Does 19 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4037.\nAnswer: 11, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.02 - -0.62. Let l = v + 5.4. Let f be 2\/(-8) - 3\/(-12). What is the closest to f in -4, -1\/6, l?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 divided by 606740\nAnswer: -6\/151685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 8:05 AM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9713449.\nAnswer: 251, 38699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 2*j**2 + 209*j - 1703. What is b(9)?\nAnswer: -713","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2 + 4475814*k - 93990771.\nAnswer: -3*(k - 1491917)*(k - 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1729241.49 from -2303083.\nAnswer: -573841.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 18343850 to the nearest 1000000.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 7.216 * -1.08\nAnswer: -7.79328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 6.217 (b) -2.1 (c) 11 (d) -0.1 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40641337\/250 + -162565. What is the common denominator of m and 93\/50?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 5*i**5 - 905*i**4 + 10*i**3 - 5*i + 10. Let s(a) = -10*a**5 + 1810*a**4 - 18*a**3 + 9*a - 18. Let p(g) = 5*s(g) + 9*x(g). Let p(q) = 0. Calculate q.\nAnswer: 0, 181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 3*g**2 - 275*g - 953. Determine z(95).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 410 - 5332\/13. What is the third smallest value in -0.76, -1\/8, k?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 3 + 1, -2*k - 2*q = 22. Let h be ((-16)\/k)\/(34\/85). Solve 0 = -h*b + 3*b + 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 6) in base 5?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 7*s**2 - 27*s + 37. Is a(25) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -n**4\/4 + 2*n**3 + n**2 - 4*n - 1. Suppose -4*f + 18 = 2*k, -8*f + 3*f + 29 = -4*k. Is 9 a factor of c(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7858*f - 7875*f + 221 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 5*i**2 + i - 10. Let m be y(5). Let z(g) be the first derivative of -51*g**2\/2 - 2*g - 5. Is z(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*d + 163*d - 4*d**2 - 79*d.\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -19965.5008 to the nearest one hundred.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f + 0 + 0 - 301*f + 520 - 520 - 2*f + 2 - 2 - 2*f - 1 + 1 - 2 + 2 - 2*f - 6*f + 4*f + f + (-1 - 1 + 3)*(2*f + 0*f - 3*f) - f + 0*f - f.\nAnswer: -313*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1544 = -15*w - 1184. Let j(v) = 2*v - 9. Let d be j(6). Solve -7*p + d*p + w = -4*o, 4*o - 3*p = -21 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 6. Suppose 0*x + 5*y + 15 = -3*x, 3*y = -5*x - 9. Let o be j(x). Let p be (2\/o)\/((-1)\/9). Solve -3 = p*n + 12 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 4:30 PM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**2 - 2 + 2)*((x + 5*x + 5*x)*(-3*x + 5*x + 0*x) + 4*x**2 - 5*x**2 - 2*x**2) + (4*x - 4*x + 2*x)*(0*x**2 - 2*x**3 + 0*x**2).\nAnswer: -80*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -179 divided by 1.\nAnswer: -179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*z - 657 = 30*z + 207 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 divided by -33?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*p + 100*p**6 + 2*p + 65*p**2 - 154*p**2 wrt p.\nAnswer: 12000*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d. Let h = 16 - 14. Let a(j) = -7*j**2 + j**h - 2*j + 4*j**2 + 6*j. Calculate -a(x) - 2*y(x).\nAnswer: 2*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 374 + -373.5. Let n = 0 + 0.4. Put 4, n, i in descending order.\nAnswer: 4, i, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -8*b + 113. Determine l(14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 154342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41856\/436 - (46 + -4)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a + 2. Suppose 0 = 4*f + 5*w - 17, 5*f = w + 25 - 11. Calculate x(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1477 divided by -5.\nAnswer: -1477\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, -2, 2\/7 in increasing order.\nAnswer: -2, 2\/7, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 35*t**3*z**3 - 13*t**2*z**3 - 524*t*z**3 - 4*z**3 wrt t?\nAnswer: 210*t*z**3 - 26*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/5373 and 56\/3809457.\nAnswer: 3809457","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11982099 or 11982098?\nAnswer: 11982098","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -49*v + 157*v - v**2 - 52*v - 68*v - 24. What is s(-10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -57 - -13316?\nAnswer: 13237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 523795 is divided by 58187?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.014 - 21.014. Let d = f - -21.0000098. What is d rounded to 6 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence swsn when four letters picked without replacement from nvtvsvtvvw.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5740*u**6 - 3*u**4 + u**3 - 2*u**2 - 28*u + 561?\nAnswer: 688800*u**3 - 72*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, z: 2, n: 2, d: 2, p: 2}. What is prob of picking 2 z?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/(-6) + 2\/(-6). Suppose -20 = j - 5. Let q be (18\/j)\/((-6)\/15). Which is the biggest value? (a) -5 (b) q (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - 4*k. Let i(p) = 23*p**2 + 218*p + 1. What is -i(b) + 6*l(b)?\nAnswer: -17*b**2 - 242*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 6*x**2 + 7*x. Let k be a(7). Let w(q) = -q**3 - 12*q**2 + 12*q - 11. Let r be w(-13). Solve 2*g + 6 - r = k for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2634902.\nAnswer: 2, 1317451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -5475*p**2 + 6. Let q(w) = -4*w**2 + 1. Calculate -j(k) + 6*q(k).\nAnswer: 5451*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**21\/l)\/l)\/(l*l*l**(-5\/6)) assuming l is positive.\nAnswer: l**(113\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 80*245\/12*3 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/(sqrt(7)*-1))\/(sqrt(96)*4).\nAnswer: -sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6453*d + 0 + 1354*d + 1645*d - 2758*d + 6241*d - 2.\nAnswer: 12935*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 189938.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09291 + -0.0061172?\nAnswer: 0.0867928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*i - 3*i + 4*i)*(10586*i - 5059*i - 5245*i) as m*i**2 + a*i + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h**3 - 4*h**2 - 10*h - 1. Let w be x(-6). Let i = -476 - w. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -743\/3, -0.76, -3162 in descending order.\nAnswer: -0.76, -743\/3, -3162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 120605 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -188900, -377780, -566642, -755480, -944288, -1133060, -1321790, -1510472?\n\"Answer: d**3 + 3*d**2 - 188896*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 2 + 4, 4*b + 4*v - 8 = 0. Suppose -4*g = -3*i + 4*i - 24, -3*i + 2*g + 44 = b. Let z be (-12)\/(-21) - i\/28. Solve z = -2*j + 5*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/360 + ((-858)\/(-5005))\/((-18)\/(-28)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 149 - 273\/(-39). Suppose m*w + 4 = 158*w. Solve 3*g + f = g + w, 2 = g + f for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1049 - -1050. Solve 3*y - z = 2*r - 8, -5*r + 3*y + 4 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 - 3*r + 3. Let d be q(7). Let s = d - -37. Let f be ((-5)\/(-10))\/(s\/(-4)). Is 1 at most as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004899988 to seven dps.\nAnswer: -0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -5*h + 33. Suppose -5*u = -h*b - 65, 0 = u - b + 5*b - 38. What is the smallest common multiple of u and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(176)*2 - sqrt(176)) + sqrt(176))\/sqrt(4) + (2*sqrt(132)\/sqrt(3) - sqrt(44))**2)*-3.\nAnswer: -132 - 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 n when two letters picked without replacement from eeeeenenneneee.\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**3 + 4*c**3 - 921 + 921.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -4 (c) -30 (d) -2007 (e) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-39)\/33 + 1 - 3368\/(-11). Suppose 0 = -3*a + f + 120. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 6864.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7 + 6 + 0*j**2 + 2*j**2 + (1 + 1 - 3)*(-j**2 + 3*j - 3*j) - 584 + 552*j**2 + 584.\nAnswer: 555*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.136, 0.5, 143, -1\/2?\nAnswer: 143","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43 + 83 - 40 + 59*a**2 to k*a + i*a**2 + l and give i.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.09 + 0.91. What is the second biggest value in 8, m, 0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*j + 116 - 96 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 315 = 4*l. Let b be (-9)\/(l\/(-20)) - -6. Factor 4\/5*n**4 + 0*n**3 - 4\/5*n**b + 2\/5*n**5 - 2\/5*n + 0.\nAnswer: 2*n*(n - 1)*(n + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 2:14 AM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20586 is divided by 173.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -31. Calculate the lowest common multiple of u and 10 - (0\/3)\/(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 y when four letters picked without replacement from wwyyff.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -38 - -39. Which is the nearest to -1\/3? (a) -2\/13 (b) z (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*i - 5*i + 1. Let b(v) = v - 1. Let r(q) = -28*q**2 + 4*q - 1. Let j(a) = 2*b(a) - r(a). List the prime factors of j(i).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, w: 1, d: 1}. Give prob of sequence dw.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 286*c + 5698 = 2552 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -125, -191, -245, -281, -293?\nAnswer: -275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r**2 + 14*r - 2676. Let a be u(-67). Calculate the highest common divisor of a and 149.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38351*t - 76674*t + 38320*t.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -z + 3, 0 = -n - 6*z + 7*z - 3. Which is the nearest to -2? (a) n (b) 2 (c) -0.9 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b + 125. Let v(x) = 67*x**2 - 140*x + 2. What is j(v(f))?\nAnswer: -67*f**2 + 140*f + 123","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of -7*w**2 - 3. Let i(a) be the second derivative of 1\/3*a**3 + 0*a**2 + 0 + 13*a. Determine i(y(o)).\nAnswer: -28*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from johdrud. What is prob of picking 1 j and 1 r?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 731, 1389, 2043, 2693, 3339?\nAnswer: 3981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-78 + 75 - (15 + (0 - -4))) + 12?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 2*y = -16, y = -2*y - 9 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1074 - 1800 = -22*m for m.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/5 (b) -0.09 (c) -3\/4 (d) -3 (e) -564 (f) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/6 (b) -3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 5*v**2 + 19*v - 10. Let y(d) = 3*d**2 + 10*d - 5. Let b(j) = -6*g(j) + 11*y(j). What is the tens digit of b(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j + 1. Let i(c) = -c**2 + 7*c - 6. Let a be 1*16 - (72 + -62). Give a*p(n) + i(n).\nAnswer: -n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 4 = 35. Let q = k - 2. Solve -q = r + 5*x, r - 5*x - 4 - 15 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 21765.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 221, 834, 1847, 3260, 5073?\nAnswer: 7286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j - 6. Let m be t(-2). List the prime factors of 6\/(-8)*2\/m*876.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -241\/3? (a) -58 (b) -1\/4 (c) -2\/7 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 3, -2, 280, -13187.\nAnswer: -13187, -2, 1, 3, 4, 280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - u**2 + u - 12. Let h be a(0). Let s = -7 - h. Suppose -3*j = s + 4. Put -2, j, -1 in descending order.\nAnswer: -1, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 2875?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of 7*h**3\/6 + 7*h**2\/2 - 3*h. Let r(w) = w + 1. Suppose 6*p - p - 5 = 0. Determine p*v(y) - 6*r(y).\nAnswer: y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181304.\nAnswer: 2, 131, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of 217*d**4\/6 - 747*d**3\/2 + 41*d**2 + 5*d. What is the derivative of n(s) wrt s?\nAnswer: 868","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 156 times -79.7\nAnswer: -12433.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3568392.\nAnswer: 2, 3, 29, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2489 - 2487. Solve 4 = 3*d + 2*l, 4*d + l = 6*d + j for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5534 + -23\nAnswer: 5511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 2 = -2*w. Let o = w - -3. Which is the nearest to -0.2? (a) 2\/15 (b) o (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3 + 2940*n**2 + 320247*n - 323190.\nAnswer: 3*(n - 1)*(n + 126)*(n + 855)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9517 to the power of 1\/2, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + -276792?\nAnswer: -27678b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k - 2. Let c be n(-9). Let s(l) = -l + 9. Let g be s(c). Solve -20 = 5*f - 2*r, g*f - 4*r + 26 = -f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of -l**4\/18 - l**3\/3 - 2*l**2\/3 - 62*l. Factor p(i).\nAnswer: -2*(i + 1)*(i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/139185 and -137\/5629260.\nAnswer: 50663340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11069 - -132685\/12. Calculate the common denominator of -81\/10 and r.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 905 is divided by 30?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 4) to base 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 95*p**2 - 7*p + 7. Let q(u) = 39*u**2 - 3*u + 3. Let w(r) = -3*m(r) + 7*q(r). Let v(g) = -106*g. Calculate w(v(j)).\nAnswer: -134832*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p**3 - 4*p**3 + p**4 + (-p**2 - p**2 + p**2)*(p**2 - p**2 + 5*p**2))*(-7*p + 5*p + 7*p).\nAnswer: -20*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 10+-0.088104725\nAnswer: 9.911895275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -90 < 132?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 19*g - 186. Let o(b) = 35*b - 335. Let s(w) = -5*o(w) + 9*t(w). Suppose -10 = 2*z - 2*p, -p = 5*z + 8 + 5. What is s(z)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + p - 1. Let t(x) = -26*x**3 - 2*x + 2. Calculate 2*k(y) + t(y).\nAnswer: -24*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*d + 21, 5*z = 5*d - 2270. Let n = -130 - z. Suppose 2*q - 134 = 2*y, y + n = 4*q + q. Does 9 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - -4 - -1 - 2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -115920 and -0.2.\nAnswer: -115920.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_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 c = 534 + -489. What is the nearest to -0.4 in -4, c, 6\/11?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2403 divided by 556\nAnswer: 2403\/556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/(-10))\/((-3)\/(-8))*61\/(4026\/165)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(76))*1 - ((sqrt(19) - sqrt(38)\/sqrt(2)*-6) + -2) - (-2*(sqrt(114)\/sqrt(24))**2 + ((1*sqrt(209)*3)\/sqrt(11))**2).\nAnswer: -319\/2 - 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2294*x + 13303. What is b(-8)?\nAnswer: -5049","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 + 2*w + 2. Let j be p(-4). Let f be (-22)\/143 + (-270)\/(-65). Solve -f*g + 0*b - 2*b = 22, -5*g + 5*b = -j for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16993 + 30152. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -22129*v**4 - 9*v + 367582.\nAnswer: -88516*v**3 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 189\/18*(-2)\/(-15)*-5. Let t be 209\/4 - (-2)\/(-8). Let r be (-39)\/t + c\/(-12). Is 1 at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 42\/105 + (-16)\/(-10). Suppose 50 = j*w + 30. Solve -7*b = -w*b + 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 906.2 - 986. Let m = -80.2 - l. Which is the biggest value? (a) -2 (b) m (c) 1\/4 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -89 - -175. What is the remainder when s is divided by 52\/(-104) + (-90)\/(-4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + j = -0*j - 25, 5*z + j = -39. Let g(i) be the first derivative of -i**4\/4 - 7*i**3\/3 + 9*i + 1. Is 9 a factor of g(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186352 to the power of 1\/2, to the nearest integer?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 17693 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 56741 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1378 + -19391\/14. Let p = -1133 + 5639\/5. Find the common denominator of p and g.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -248.1 + 244.1. Which is the third biggest value? (a) i (b) -0.5 (c) 0.5 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2063 (b) 3\/4 (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101661 is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/3)\/(2\/(-6)*23\/391*-51).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8340361811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2280 is divided by 214.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4064.2777 - 2?\nAnswer: -4066.2777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3905*p**2 - 7798*p**2 + 3892*p**2 - 2*p**4 + 221 - 2*p**3 to v*p**3 + r + d*p + m*p**2 + t*p**4 and give r.\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 3312?\nAnswer: -3317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -228, -235, -244, -255, -268, -283, -300?\nAnswer: -319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 1)*(0*y - 2*y + 3*y) + 0*y + 0*y - 5*y + (-2*y + y + 3*y)*(-2 - 1 - 1) - 29 - 14*y + 29.\nAnswer: -26*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 137 * 418.\nAnswer: 57266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 505, 1922, 4291, 7618, 11909, 17170, 23407, 30626?\n\"Answer: n**3 + 470*n**2 + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of 3\/2*j**2 + 0 + 1\/12*j**4 - 1\/3*j**3 + 2*j. Suppose -t + 3 = -0. What is x(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) 0 (b) -0.03 (c) 1 (d) -2 (e) -53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zkkzmzmmzy. What is prob of sequence kym?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 u when three letters picked without replacement from {s: 5, u: 2}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 454 < 3039?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 456046147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 14 - (185 - 174).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56916 (base 10) to base 4.\nAnswer: 31321110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**24\/y**(2\/5)*((y\/(y*y*y**25))\/y)\/y**(1\/19))**(-2\/5) assuming y is positive.\nAnswer: y**(656\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by 68.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1104 is divided by 974.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*d**4 + 4313*d - 524958 wrt d.\nAnswer: 20*d**3 + 4313","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 2*w**2 - 48*w - 149. Let a be k(-3). What is the closest to -0.1 in a, 1, -693?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 582*j**3 - 236 - 622*j**3 - 146 - 2*j with respect to j.\nAnswer: -120*j**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 339 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 276 - 301. Let l(k) = -3*k**2 + 4*k + 5. Let t be l(4). Are n and t non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -146 + 149. Let z(r) = 3*r - 9. Calculate the remainder when z(6) is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118291 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1029 = i + 2*z, 0*i + 5*i + 4*z = 5169. What is the remainder when i is divided by 65?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*6\/(-105)*-1\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2 - 10 + 4*v**2 - 6*v - 7*v**2 + 4*v**2. Is o(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -270*r**2 - 5363*r + 5363*r + 2*r**2 - 3*r + 3*r + (2 + 2 - 6)*(-5*r**2 + 4*r**2 - r**2) - 2*r**2 + r - r to the form x + g*r**2 + z*r and give g.\nAnswer: -266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -2\/43 (c) -3\/7 (d) 0.2 (e) -0.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 360967518 and 54?\nAnswer: 1082902554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2108, 8236, 18388, 32564?\n\"Answer: 2012*p**2 + 92*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -1.8\nAnswer: 5.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 260 and 92732.\nAnswer: 6027580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 747*k**2 + 4 - 3 + 573*k**3 - 1 + 336*k**3 wrt k?\nAnswer: 5454","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -209, -211, -215, -221, -229, -239, -251?\nAnswer: -265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-10)*(-711)\/(-6). Let u = d + -49\/4. Which is bigger: 2 or u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 251 + -251. Solve m = 8*n + 2 + 22 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 381626709 to the power of 1\/2, to the nearest integer?\nAnswer: 19535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*b - 12*b = 255. Is b even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54030 (base 6) in base 11?\nAnswer: 5593","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 131052787 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 13 * 6.79\nAnswer: 88.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8\/11 + 39\/22. Let v(s) = -1637*s - 9811. Let q be v(-6). Which is the nearest to 3? (a) u (b) q (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.428 - 0.71?\nAnswer: -18.138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -25*x - 8. Let i(n) = -124*n - 40. Let a(q) = 5*i(q) - 24*t(q). Let r(m) = 13*m + 5. Let l(z) = -5*a(z) - 8*r(z). Let o(k) = k. Determine l(o(c)).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.6801804m?\nAnswer: 68.01804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2927 - -6033. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 0, -15, -56, -135, -264?\n\"Answer: -2*h**3 - h**2 + 2*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d**5 + 11*d**5 + d**5 + (0*d + 0*d + 2*d**5)*(2 - 1 + 0) - d**5 + d**5 + d**5 - 4*d**5 + 3*d**5 + 9*d**5.\nAnswer: 20*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -1 - -6) + (-8 - -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/2 + 3 + 4. Let p = s - 5. Suppose p - 4 = -n. Put n, 5, 0 in decreasing order.\nAnswer: 5, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 142504 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i**2 + 288*i - 2167. Give c(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 975 - 689. Let n be 2\/(-10)*-6*(-300)\/(-90). Suppose 6*b - d = n*b. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 2*c + 1, -2*c + n + 3 = 4*n. Suppose 3*x - 5580 + 183 = c. Let h = 5256 - x. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m - 5*m - 3 - 3*m. Calculate the remainder when 1064\/32 + 1*(-1)\/4 is divided by o(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 26*u**2 - 2*u + 1. Let d be a(1). Let s = -14 + d. Suppose s*l = 16*l - 90. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 + -25. Suppose 5*z = 121 + m. Suppose -d + z + 9 = 0. Calculate the highest common factor of 68 and d.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4768 - 4762. Sort 31, -13, h, -4.\nAnswer: -13, -4, h, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4032, 19060, 44122, 79218?\n\"Answer: 5017*d**2 - 23*d - 962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -10*((-56434)\/6264 + 8 + 1) and (-5)\/(-150)*1455\/6.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of o**8\/8400 + o**7\/2100 - o**5\/300 + o**4\/12 + 2*o. Let w(f) be the third derivative of g(f). Factor w(r).\nAnswer: 2*(r + 1)**2*(2*r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5\/3 (b) -2\/19 (c) 0.05 (d) -0.035 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5424.36676 rounded to the nearest one hundred?\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1398 times -2?\nAnswer: -2796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -388 (base 12) to base 4\nAnswer: -20120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 AM and 7:41 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -341 - -344. Let n be (6\/(-10))\/f + 735\/175. Solve 2*l - 3 = q - 3*l, 0 = n*q - 4*l + 12 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 = o - 119. Let z = o - 219. Let y(d) = -15*d**3 + 1. Give y(z).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ak when two letters picked without replacement from dkaaiwdq.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/9 (b) -17 (c) 1 (d) 3 (e) 10\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3596 = 75*m - 76*m. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 143 - 89. Calculate the highest common factor of 81 and r.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 3*k + 21 = -0*k, -5*a = -2*k - 21. Let x(w) = -4 - w**2 + 2*w**2 - 4*w + 10. What are the prime factors of x(a)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.29 + 18.71. Let k = -71 - -89.964. Let b = k - p. Round b to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 1433 - 383 = 0. Suppose y + 91 = -4*c + k, c - y = 111. Suppose -4*t - c = -u, 5*u - 524 = t - 2*t. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**5\/7 + 12452*p**4\/7 + 199560*p**3\/7 + 1148080*p**2\/7 + 2796032*p\/7 + 2396928\/7 = 0 for p.\nAnswer: -6, -4, -2, 6242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (7 + -7)*1\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 1 + 2. Suppose 0 = 8*g - l*g - 415. Does 37 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31285 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44 - 83. Round o to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 229.12992 months to years.\nAnswer: 19.09416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2*s - 116 = -5*u, -6*s + u = -140. Suppose 2*p - 20 = 4*j, 3*p - 4*j + 4 - s = 0. Are p and -3\/313 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5266\/27573 + -2\/3939. Is g less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 200457 + 2?\nAnswer: 200459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 11883*x - 4 + 1 + 11757*x.\nAnswer: -126*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -62.\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -484a (base 13) in base 10?\nAnswer: -10202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - (1 - 1))\/2. Let i be 26 + (1 - 0) + 2. Let h = i - 17. Solve 4*g + j = -h for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -2*i - 3*p, 5*i - 3*p - 25 = -6*p. Suppose 3*f + i*f + 5 = 0. Is 125 - 2\/f - 0 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 0)*((-5*p + 2*p + 0*p)*(-3 + 2 - 2) + p + 0 + 0).\nAnswer: 10*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 0.1, 477, -2.7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2 minus -437.5?\nAnswer: 435.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 58*h**2 - 122*h + 563. Calculate the remainder when 3635 is divided by g(56).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u - 30 = -2*w, u - 2366 = -5*w - 2354 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -221*y**2 + 10*y + 4. What is h(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -29? (a) -37 (b) 0.3 (c) -2\/13 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3919 - 9)\/(2 - 4). Let r = i - 2864. Round r to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 0, -6, -30, -84, -180, -330?\n\"Answer: -2*u**3 + 3*u**2 - u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.9 - 2.8. Let n = o + -0.1. Which is the biggest value? (a) n (b) -5 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4962*j = 4960*j + 96. Calculate the highest common divisor of j and 2076.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of f**6\/900 - f**3\/2 + 4*f. Let s(n) be the second derivative of x(n). Let s(m) = 0. Calculate m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149398 = -12*p + 95630. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, f: 3, o: 3, u: 1, z: 4, m: 4}. Give prob of sequence fz.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-3))\/(5\/(-45)). Suppose -3*x = -4*k + 28, 0 = -5*x - 3*k + k - 12. Put 10, x, s in ascending order.\nAnswer: x, s, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 101987?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -49*d**2 + 3*d. Let q be b(-3). Round q to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 5*k - 6. Let a be 2\/(1 - ((-21)\/15 - -2)). What is g(a)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 66.53 + 0.47. Let o = -67 + u. Let f = -3 + 2.8. Which is the nearest to o? (a) f (b) 4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 i, and 2 l when four letters picked without replacement from {i: 5, x: 1, l: 3, k: 2, m: 1, p: 1}?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o. Let s(p) be the second derivative of -1241\/6*p**3 - 7*p + 0 - 187\/2*p**2. Let g(h) = 20*h + 3. Let z(w) = 374*g(w) + 6*s(w). Give z(f(m)).\nAnswer: -34*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 325030?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/11)*g*g**(-3\/5))**(-45) assuming g is positive.\nAnswer: g**(-243\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*a + 3*w, 5*a - 4*a - 4 = w. Suppose -2*i - a*i = -3*z - 19, z + 6 = i. Which is smaller: -1\/5 or i?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 47 + 4?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6675\/39 + (-2)\/13. Let r = 208 - 37. Is i at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2113 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 65309 divided by 2?\nAnswer: 65309\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0174464 to four decimal places.\nAnswer: -0.0174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j - 16 = 24 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -194, -203, -204, -191, -158?\n\"Answer: l**3 - 2*l**2 - 10*l - 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6515, -26073, -58675, -104321?\n\"Answer: -6522*i**2 + 8*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 4:43 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.6230924 rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9662178 plus 7264.93?\nAnswer: 9669442.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y - 1. Suppose -4*k - 6 = -3*m, 4*m = k - 2 + 10. Suppose -14*s + m*s = 108. Determine a(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46\/121 - 259\/363. What is the nearest to -2 in -81\/5, d, 0.3, 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/4588 and 68\/24087?\nAnswer: 96348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 87473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 178*g + 2*g**2 + 1033*g + 635*g to l*g + x*g**2 + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 66*s + 181. Calculate i(3).\nAnswer: 379","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 66*y - 16. List the prime factors of o(14).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - -1367855218\nAnswer: 1367855222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 51840?\nAnswer: 51840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of -m**3\/3 - 25*m**2 - 23*m. Let o be d(-26). Let r(l) = 2*l**2 + 2*l - 1. Let w be r(1). Which is smaller: w or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -2*m**4 + 250*m**3 - 2086*m**2 - 250*m + 2088 = 0?\nAnswer: -1, 1, 9, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 11, c: 5}. What is prob of sequence cc?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of -a**5\/360 - 17*a**4\/48 + 53*a**3\/18 + 2*a**2 + 145. Let s(g) = 0. What is g?\nAnswer: -53, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3004, -3965, -4936, -5923, -6932?\n\"Answer: -w**3 + w**2 - 957*w - 2047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -65 + 404. Let s = p + 1381. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 63309 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/5 + 277*n**2\/5 - 6551*n\/5 + 1255.\nAnswer: -(n - 251)*(n - 25)*(n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-5 + 3 + 0)*(-1 - 2 + 1) - 40 - 14 - 6)*(2*h + 0*h - h) to r + g*h and give g.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 649114 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 135*t**2 - 137*t - 426. Give r(-134).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1489*g - 19008 - 112024 = 0 for g.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 232 divide 488360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of x**3\/3 + 7*x**2\/2 - 14*x. What is the first derivative of c(q) wrt q?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 13) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 3 + 5 + -15 + 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 138 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 x, and 1 d when three letters picked without replacement from hdjxjjjx?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 930663 divided by -310221?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3061046 (base 7) to base 13\nAnswer: cb4bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -97 in -5\/4, 0.4, -0.5, 567?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 1, 3, 7, 13, 21, 31?\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -2 (b) -8 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 789928147 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 + (-21868)\/224 + (702\/(-16))\/(-3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v + 2. Let c be t(0). Suppose s + 15 = -c*s. Let x be 0 + ((-5)\/1 - 1). Is s greater than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 326*-83.\nAnswer: -27058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -4*x - 1. Let o be a(-4). Suppose 2*m - 27 = o. Let r = m - 1. Calculate the lowest common multiple of r and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-10)\/4 + 1)\/((-18)\/2532) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 80293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 1\/3 (b) 1\/10 (c) -4666 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4114.3 - 4114. What is the nearest to -0.1 in -21, q, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-290)\/(-6) - 1\/3. Find the common denominator of -13 and ((-4)\/12)\/(5\/d).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -10 - 12*-2*1\/6. Suppose 0 = -14*m - 152 - 86. Let b(q) = 2*q. Let t(z) = -6*z. Calculate m*b(h) + s*t(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(190)\/(sqrt(90)\/(-4*sqrt(9))) + 4 + sqrt(133)\/sqrt(112))*1.\nAnswer: -75*sqrt(19)\/4 + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 3\/11 (b) 1\/8 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -190*233\nAnswer: -44270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2076961930.\nAnswer: 2, 5, 207696193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -554*n**2 + 1070*n**2 - 592*n**2.\nAnswer: -76*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - 2\/(-10)*9. Let d = 2\/79 + -83\/158. Sort d, -4, x in increasing order.\nAnswer: -4, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54521228 divided by -13630307.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-2) + (10 - 12). Solve z = -4*s - 12 - 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*n**2 + 2 + 275*n + 10 - 3*n**2 - 31 + 18 in the form y*n**2 + z + d*n and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {s: 2, a: 3, x: 2, d: 4, m: 1, w: 6}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0*(-1 + (-5)\/(-10)). What is y in -2\/7*y + 0*y**4 + 4\/7*y**3 - 2\/7*y**5 + 0*y**2 + c = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -33*d - 5875. What is a(-178)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-10)*(898\/(-348) - (-32)\/12).\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-36)\/225*10\/2\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*g + 43*g - 82 = -5*j, j + g - 18 = 0. Find the third derivative of j - 21 - 160*w**3 - 16*w + 5 - 3*w**2 wrt w.\nAnswer: -960","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -12*((-20)\/8)\/1. Let k = w - 2. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 - 66?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of 0*m - 39*m**2 + 1\/12*m**4 + 17\/20*m**5 + 0 + 88\/3*m**3. What is the derivative of u(b) wrt b?\nAnswer: 102*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/18)\/((-45)\/(-54))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -9, 0.14, -1\/8, -18\/23?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of 9*u**4\/4 + 7*u**3 + 3*u**2 + 5. Factor z(l).\nAnswer: 3*l*(l + 2)*(3*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k - 6*k**2 - 4*k + k**2 - k + k + (-3 + 1 + 1)*(0 + 2*k**2 + 0).\nAnswer: -7*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -62965 by -12593.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 5*q**2 + 60*q + 424. Calculate j(-9).\nAnswer: 289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 49111678 and 0.4.\nAnswer: 19644671.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 PM and 3:52 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/18)\/(9\/(-648)*-9).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*c + 1 + 7*c - 7 - 4*c.\nAnswer: -7*c - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -2*u**4\/3 - 446*u - 1. Let o(p) be the second derivative of -2*p**3 + 2*p. What is o(c(n))?\nAnswer: 96*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vfvfvfvv. What is prob of sequence ff?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6 + -10 + (2 - -23)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8439\/15 + (-8)\/5 + 2. What is f in 9 + 3 - f**2 - i*f + 567*f + 0 = 0?\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*c = 84*c + 1240. Is c a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000277188 to 5 decimal places.\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -20*z. Let b(a) = 10*a - 31582. Determine p(b(w)).\nAnswer: -200*w + 631640","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 52 - 101. Let n = x - -48.989. What is n rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10037431.\nAnswer: 401, 25031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/(-2))\/(-3) - (-120)\/16. Suppose -4*g - l = o + 9, 0 = 5*g + 2*l + 19. Sort 2, 5, g in decreasing order.\nAnswer: 5, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 9, 411.67 in ascending order.\nAnswer: -2, 9, 411.67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 2:09 AM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -308.3 - -308. What is the nearest to -2\/9 in s, -1\/7, 1\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -5 - (0 + (6 - 5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3\/4 (b) 0.2 (c) -4\/21 (d) -2\/13 (e) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8874, 17158, 24966, 32298, 39154, 45534, 51438?\n\"Answer: -238*v**2 + 8998*v + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -160156754 * -1.\nAnswer: 160156754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + 1 - (8 + 0). Are -7 and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6560 rounded to the nearest 100?\nAnswer: -6600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -331, -450, -571, -694, -819?\n\"Answer: -b**2 - 116*b - 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 48066 and 4.95.\nAnswer: 237926.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -4*t - 52. Let m be z(-20). Suppose 0 = -19*h + m*h - 45. Solve -8 - 12 = 5*s - h*u, 2*s - 3*u + 10 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 106, 75, 18, -77, -222, -429?\nAnswer: -710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 3*a - 2*a - 2*a - 3*a + 3*a + (-5 + 6 - 3)*(4 - 4 + 2*a) - 3*a - 4*a + 6*a)*(3*a - 5*a + 4*a)*(-2*a**3 - 8*a**3 + 17*a**3).\nAnswer: -140*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/51? (a) -5 (b) 236 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-380)\/475 + ((-89)\/(-5) - -1). Solve -u + 6*g - 4*g = 7, j = -2*u + 5*g for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4616.4474 milliseconds to hours.\nAnswer: 0.0012823465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1634\/11593 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dgd when three letters picked without replacement from gdggggdggdgggggggdg?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2 - -25)*(-15)\/(-5)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2616)\/(-104) + 2\/(-13). Solve -2*x = 4*m + h - 5, -m = -4*x - 13 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 310533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 441073143?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 350761772 is divided by 11408.\nAnswer: 11404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1383 and 3025082?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 f, 1 b, and 1 g when four letters picked without replacement from gubfuau?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22241 + 434?\nAnswer: -21302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 192 and 96.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 3*h - 4*t - 10, 0 = -4*h - 3*t + 5. Factor 9 - 9 - h*y**2 - 2*y.\nAnswer: -2*y*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00281 rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19525 by 3905.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1200)\/(-5100) - 2\/153.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 9*q**2. Suppose 3 = 5*f - 5*w + 23, -2*w + 10 = -4*f. Calculate r(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3*v = -11, 7*k - 81 = 2*k - 2*v. Let u = k - -378. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*l - 12288*l**2 + 2*l + 12412*l**2 to the form r*l**2 + j + x*l and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 4*p**2 - 6*p - 4. Let i be t(-5). Let y = -1 + i. Suppose -107*l + 313 = -329. Solve y = l*m - 2*m + 20 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4 + 14 = 0. Let v(s) = 14*s - 4. Let k be v(5). Calculate the smallest common multiple of k\/8 + 2\/(-8) and w.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1140)\/(-369740)*(-238)\/51\nAnswer: -2\/139","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**2. Let u(m) = 42*m + 2 - 3 - 8*m + 114*m. What is u(b(v))?\nAnswer: 296*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5 + -4 + (sqrt(720) - sqrt(720)*-2) + -4*2*sqrt(720)).\nAnswer: -5 + 300*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2288, -4180, -6110, -8078, -10084, -12128?\n\"Answer: -19*z**2 - 1835*z - 434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 129*z**6 - 2*z**2 + 6 wrt z.\nAnswer: 15480*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27 + 18. Let l be (-9)\/(-4) - y\/12. Suppose 0*h - h - l*k = 0, -k + 70 = 5*h. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -584128068 - 5?\nAnswer: -584128073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-3\/7)*s)**(-4) assuming s is positive.\nAnswer: s**(-44\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 5 + -6*(sqrt(245) + -1) + sqrt(245) + (sqrt(245) + (1*sqrt(245) - sqrt(245)) + sqrt(245) - sqrt(245))*-3 + -2)*5)**2.\nAnswer: -14000*sqrt(5) + 392625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56 and 49688716.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 9809 = 17473. Let y = -873043\/96 - q. Find the common denominator of 5\/12 and y.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6981 and -1225063387.\nAnswer: -1225070368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -58 (b) 0.9 (c) 0.3 (d) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1143234375*z**4\/4 - 5643635625*z**3 + 59576623425*z**2\/2 + 23297313939*z - 1494926086257\/4 = 0 for z.\nAnswer: -3, 5497\/725","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -5*t + 6. Let r be ((0\/(-1))\/t)\/((-2)\/2). Solve 4*h + 0*h = r for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -468575 = -26*l + l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 divided by 191721?\nAnswer: -17\/191721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -3.21 (c) 3\/205 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-5\/3)\/b)\/(b\/(b*b\/((b**(2\/7)*b)\/b)))*(b\/(b\/(b**5\/b)))\/(b*b**(-3)*b) assuming b is positive.\nAnswer: b**(64\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.8 + 0.9. Let d = -13 + 8. Let t = 6 - 10. Which is the closest to 1? (a) t (b) d (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + 3\/(-6) + -1. Let i = 8 + -7.7. Let j = -2.3 + -0.7. Which is the nearest to h? (a) -0.4 (b) i (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(130) + (4*sqrt(130) - sqrt(130)))\/sqrt(10).\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -153 by -128.\nAnswer: 153\/128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33 + 0 + (6 + 18 + -23 - 3)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -11*m**6\/6 + 10*m**3\/3 - 2. Find the third derivative of s(o) wrt o.\nAnswer: -660*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 406412507?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 11 + b4b2?\nAnswer: b4c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 less than 5309?\nAnswer: 5309.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4855252339745 - 0.46\nAnswer: -4855252339745.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8626?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 6:23 AM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i + 0*i + i**2 - i)*(1 - 1 - 3).\nAnswer: -3*i**2 - 9*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 6*x**2 + 6. Let u be (-1 - -34)*12\/(-9). Let d = u + 35. Let j = d - -3. What is w(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(2\/13)\/g**5*g**4*g\/((g\/(g**(2\/3)\/g))\/g)*g assuming g is positive.\nAnswer: g**(32\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.9744306 centuries?\nAnswer: 9.744306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5836 - 5836 + 360585*a - 360586*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -262 (base 11) in base 13?\nAnswer: -1ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*g**3 - 2*g**2 + 2*g**2 + g**2 - 2*g**3 as x*g**2 + q + r*g + k*g**3 and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 7416358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 1 = -4*n. Let x(p) = 3*p**2 + 5*p - 3. What is the units digit of x(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 204345421 (base 6) to base 13\nAnswer: 982657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -605657048*n**6 - 98040174*n**2.\nAnswer: -72678845760*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 200262407 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - 3*d + 3*d)*(d**3 + d**3 + 0*d**3) - d**2 + d**4 + d**2 - 31*d**4 + 63*d**4 + 55*d**4.\nAnswer: 86*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10 - (-84)\/8) + 6\/4. Solve -2*z = -4*h, -p*z = 2*h - 3*h + 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6356 and 75?\nAnswer: 476700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4251041, 17004493, 38260247, 68018303, 106278661, 153041321?\nAnswer: 208306283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 77931 - 77911. Determine k so that 55*k**3 + y*k + 0 + 15*k**4 - 5\/3*k**5 + 175\/3*k**2 = 0.\nAnswer: -1, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (0 - (-4 + 3 + -4))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of r**6\/12 - r**5\/5 - 3*r**4\/8 + 4*r**3\/3 - r**2 + 4. Factor g(o).\nAnswer: o*(o - 2)*(o - 1)**2*(o + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 9.16 (b) 1 (c) 15 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j + 22. List the prime factors of v(14).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u = u - 40. Suppose -n + 414 = -4*w, -600 + 2724 = u*n - 2*w. Is n a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of -f**4\/12 - f**3\/6 + f**2 - 9*f. Calculate o(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a decade in months?\nAnswer: 816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 757478 (b) -0.4 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, b: 3}. What is prob of picking 2 b?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3.477 and 3.\nAnswer: -0.477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 228 divided by 43?\nAnswer: 228\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110 - 1212?\nAnswer: -2022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -473 - -479. Calculate the highest common factor of 9 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 169783?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 v, 1 b, and 1 j when four letters picked without replacement from {x: 1, j: 4, b: 1, v: 2, m: 1}.\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n**2 - 7*n**2 + 24*n**2 - 5*n**2 - 3*n**2.\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - -12 - (-40)\/(-35)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 - 3*k**2 - 16*k + 14. Let t(r) = -2*r**3 - 4*r**2 - 19*r + 17. What is -6*j(b) + 5*t(b)?\nAnswer: -4*b**3 - 2*b**2 + b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkj when three letters picked without replacement from mmfyjyk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 186074?\nAnswer: -930370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -6*l. Let v be 3\/(-2)*14*8\/84. Let g(i) = -2*i. Let x(c) = -2*c. Let r(h) = v*g(h) + 4*x(h). Give r(q(w)).\nAnswer: 24*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -28\/19 in -1\/4, 1\/2, -0.5, -2\/5277?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -26, 2, -5, 1, 0, -1062 in descending order.\nAnswer: 2, 1, 0, -4, -5, -26, -1062","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -26 smaller than -27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a microgram in nanograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39 and 18231525.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of 0 + 0*m**4 + 0*m**6 + 1\/210*m**7 + 1\/20*m**5 + 2*m**2 + 0*m + 0*m**3. Find the third derivative of x(g) wrt g.\nAnswer: 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.256668 micrometers to nanometers.\nAnswer: 256.668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1.428692 decades?\nAnswer: 171.44304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 p when four letters picked without replacement from ccpccdcpcdc.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 600\/28 - 6\/56*4. List the prime factors of (-1)\/((-6)\/n - 449\/(-1596)).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 3a?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6370 and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 8667\/5 = 1734?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23382864 - -2.\nAnswer: -23382862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-112)\/79485)\/(18\/(-2805)). Let d = q - -2\/757. Factor -d*x + 2\/9*x**2 + 0.\nAnswer: 2*x*(x - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of 0*x - 2*x**2 - x - 2*x**2 - 6*x**2 - 1. Is j(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 6 + -2 - (-5 + -3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0410108 and 43.889.\nAnswer: 43.8479892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -541455 - -223?\nAnswer: -541232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(4\/7)\/z*z\/(z\/z**(-1\/6))*z*z)**7*(z*z**(-3\/2)\/z*z*z\/((z\/z**(5\/3))\/z*z*z*z))**39 assuming z is positive.\nAnswer: z**(-68\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-903)\/69 + -2 + 154 + (-208 - -69)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*i**5 + i**4 - 85*i**3 + 962*i**2 wrt i.\nAnswer: 120*i**2 + 24*i - 510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 17582450*d**2\/23 + 608512880*d\/23 + 5265021728\/23.\nAnswer: 2*(2965*d + 51308)**2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 6.5, 3, 0.\nAnswer: -2\/3, 0, 3, 6.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 502 - 497 - 10958*-2*3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*c - 20*c + 81*c.\nAnswer: 54*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 340 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1968 - -8.02696?\nAnswer: -1959.97304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-27)\/(-6) - 4)*(7 + -5). Let l = -7.3 - -4.4. Let y = l - -3. Which is the third biggest value? (a) -0.3 (b) n (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yf when two letters picked without replacement from {p: 1, y: 3, c: 1, f: 5}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.9321161 nanometers?\nAnswer: 0.0000000000009321161","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zltskvkllsvv. What is prob of picking 1 v and 1 t?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 3*f - 3328*u + 3327*u, -2*f - 12 = u for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 111601.732 - 560173\nAnswer: -448571.268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-230))\/((-7)\/14).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 + -2 + 2 + -16. Let z be ((-18)\/12)\/(m\/(-4)). Which is the nearest to 1? (a) z (b) -0.7 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 plus -4470081012?\nAnswer: -4470081011.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -273899 - -273898. Let x be ((-1)\/(-1))\/((-2)\/(-14)). Let k = 3.91 - -0.09. Which is the nearest to x? (a) j (b) k (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o - 98 = -4*o - 164. Let z(y) be the third derivative of -5\/3*y**3 + 1\/120*y**o - 7\/60*y**5 + 1\/24*y**4 - 13*y**2 + 0*y + 0. Give z(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 575016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*x**2 - 3240610*x + 87500115 = 0. What is x?\nAnswer: -648149, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*(-1 + (-15)\/(-5)). Let w = 8 - u. Is (-10)\/40 + 3005\/w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**41)\/n**(1\/10) assuming n is positive.\nAnswer: n**(419\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8876663?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c (base 16) to base 12.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/568 and -99\/8.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.13636177 to 3 decimal places.\nAnswer: -0.136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 - 287 = -y. Let w = 150 - y. What is the units digit of (w\/(-30))\/((-2)\/(-10))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2 + 71564*m - 69023856.\nAnswer: -4*(m - 16868)*(m - 1023)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 u when four letters picked without replacement from {u: 13, b: 6}.\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 184842805*k**3 + 656388277 with respect to k.\nAnswer: 554528415*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 57*m - 43*m - 28*m + (-2 + 6 + 1)*(-5 + 5 + 3*m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 AM and 9:48 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 7 - 1. Suppose y*s = 7*s - 20. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.2761 + -0.2761. Suppose 2*k + k + 17 = -5*l, 0 = -k - 5*l - 19. Which is the third smallest value? (a) k (b) -6\/17 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1121080894?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 3*r - 5 = 0. Are 3\/2 and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/p**(-5\/6)*p**(-12)*(p**(-1)\/p)\/(p**8\/p) assuming p is positive.\nAnswer: p**(-115\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppplplllpl. What is prob of sequence plll?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 369 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 206737063?\nAnswer: 13, 139, 191, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-82)\/(-8)*2*5\/50 and 19\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1529, 4749, 7971, 11195, 14421, 17649, 20879?\nAnswer: 24111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wzzsszwrzuzrzrzrxs. Give prob of sequence zwxw.\nAnswer: 7\/36720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**4 + j - j + (j**2 + j**2 - 3*j**2)*(-22 + 22 + 11*j**2) - 2*j**4 + 0*j**4 + 4*j**4.\nAnswer: -8*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 53477 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2320 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 6404 = -20004. Let w = 369619\/28 + r. Let m = -32\/7 - w. Which is smaller: -2\/3 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20 - 8*w + 3*w + 6*w + (0 + 1 - 4)*(-3*w + w + 4*w) to the form p*w + n and give n.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 46.68504um?\nAnswer: 0.04668504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 512*j**5\/3 - 1631168*j**4\/3 + 2642390*j**3 + 40098140*j**2\/3 + 4917778*j\/3 + 50896 = 0. Calculate j.\nAnswer: -3, -1\/16, 8, 3181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n**2 - 2*n + 7*n**2 + 2 - 163*n**3 + 167*n**3 to m*n**3 + p + c*n**2 + d*n and give c.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 4*r = 12, -2*a = -5*a - 4*r - 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x - 2. Let j(q) = 4 - 2 - 1. Give -j(s) + p(s).\nAnswer: -s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (15 - 2266\/154)\/(4*2\/176372)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 7:46 AM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*v**3 - 1501*v**2 - v + 18505 wrt v.\nAnswer: 6*v**2 - 3002*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by 43?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of -880*m**7\/7 + 680*m**3\/3 + 215. What is the third derivative of z(v) wrt v?\nAnswer: -105600*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 12:33 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*m - 40*m = -31*m. Solve m = -2*x - 4, 5*x - 95 = -w - 108 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.4 - -0.7. Let u = 0.9 + o. What is the nearest to -2\/7 in u, 3\/8, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/(-3)*(0 - 3). What is the second smallest value in y, -3, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bab when three letters picked without replacement from aaahbaabbaaaaaaabaab?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 62*z**2 - 118*z + 3263. Calculate m(61).\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1967.\nAnswer: 7, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*q - 10. Suppose -4 = 4*y, -w - w + q*y - 29 = 0. Let b = 20 + w. Solve b*g - 2*g + 2 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -950 + 2760. What is o rounded to the nearest one hundred?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1300*v**3 + 4*v + 2449 wrt v.\nAnswer: 7800*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/20*(-1)\/(4\/(-16)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/19211464 and -61\/32688.\nAnswer: 345806352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 28 and 1409.\nAnswer: 1437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does -1285 = -37295\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 140327 (base 12) to base 4.\nAnswer: 1101013033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, r: 1, j: 1, z: 2}. Give prob of picking 1 z, 1 j, and 1 m.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -806.\nAnswer: 80.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89150*-386.\nAnswer: -34411900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 - 2*l. Let o be i(14). Let d be 8\/8074*(-1006872)\/o. Let g = -2\/2569 - d. Calculate the common denominator of g and 29\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lnnnnrl. What is prob of picking 1 r and 1 l?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a gram in milligrams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vgoz when four letters picked without replacement from bgzggovoozologgzo.\nAnswer: 3\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 176097836?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 3:02 PM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 657 - 685. Let l be (z\/(-4) - -1) + 2. Solve 0 = 4*q + 16, 2*q + l = -3*v + 2*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4*k - 20 = 0, 5*g = -5*k - 13 + 88. Suppose -2 - g = -6*r. Suppose 0 = r*o - b - 31, -4*o + 47 = -3*b + 4. Is 5 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1809\/12*(-70 - (-46282)\/657).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence foo when three letters picked without replacement from iofiyinnyyvioiyoin.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 0 = 18. Let y(t) be the second derivative of 1\/6*t**2 + 1\/30*t**5 + t + 0 + 0*t**4 - 1\/90*t**s - 1\/9*t**3. Let y(k) = 0. Calculate k.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/24)\/((-3)\/228). Does 13 divide (z\/3)\/(8\/(-120))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i - 32. Let z be l(23). Let s be 1\/((-50)\/(-1460)*(-6)\/(-15)). Let d = s + z. Calculate the greatest common divisor of d and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 u when three letters picked without replacement from {k: 2, u: 4, i: 4, b: 5, v: 2}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*((-112)\/(-52) - 2). Which is the nearest to 0.1? (a) -4 (b) x (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27.58599 + -0.01599. What is g rounded to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 1, -454, -338.3, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 49 - 44. Suppose -2*a = -5*l - 24, -4*l = -5*a - 4 + 30. Let u = -5 - -5. Solve 3*o - y*p - 15 = u, 3*o + a*p - 6*p = 12 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f*f*f**(3\/25)*f*f)\/f)\/f)\/f**(22\/7))\/((f**(1\/9)*f)\/(f\/(f*f*f**(-2\/21))*f)) assuming f is positive.\nAnswer: f**(-3211\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-196)\/21*(1051\/(-2) - 185\/(-37)). Calculate the greatest common factor of 7 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*1\/42*4.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6043653 (base 7) to base 4.\nAnswer: -2233000323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*o*x**2 + 2*o*x - 762*x**3 - 2*x**2 - 1194*x - 2 wrt x.\nAnswer: 18*o - 4572*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3249, -3253, -3259, -3267, -3277, -3289?\nAnswer: -3303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87195, -166550, -245903, -325254, -404603, -483950, -563295?\nAnswer: -642638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of o**8\/14 + 9*o**7\/35 + 527*o**5\/12 + 315*o**2 - 2*o. What is the third derivative of d(i) wrt i?\nAnswer: 1440*i**2 + 1296*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r\/(r\/(r*(r\/(r*r\/(r*r\/((r**17\/r)\/r))))\/r*r)))*(r*r*r*r**8\/r*r*r)\/r assuming r is positive.\nAnswer: r**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 2 = -q, -4*o - 27 = -q - 16 - 11 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3039?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24813*r = 24809*r - 5*p - 5, -2*p + 40 = 10*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -323 - -355. Solve -m*y = -37*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ok when two letters picked without replacement from pddokaokokapp.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2 - 5404*x - 10792.\nAnswer: -4*(x + 2)*(x + 1349)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -45045 divided by -6435\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-104)\/(-273)) - (-6 + 1)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*6.8402.\nAnswer: 3.4201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = -5*r - 3*x - 27, 5*x = r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of 2*g**3\/21 - 10*g**2\/7 + 50*g\/7 + 1. Factor m(r).\nAnswer: 2*(r - 5)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 + 10. Let r(m) = m**2 + 8*m - 7. Let s be r(c). Let b be 1*0\/(-2 - 0). Sort -1, b, s in increasing order.\nAnswer: -1, b, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1753 - 6*b**2 + 8*b**2 - 3529 + 1764.\nAnswer: 2*b**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y**2 - y**2 - 2*y**2 + 8*y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3 + sqrt(192) - (sqrt(192) - -4*(2*sqrt(192) + sqrt(192)))**2 - (1 + -3 + (sqrt(192) - sqrt(192)*-3*4 - sqrt(192))**2).\nAnswer: -60098 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x + 12*x - 24. Suppose x*a = -6*a + 128. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of a**5\/20 + 5*a**4\/12 - a**3\/2 + 2*a**2 + 26*a. What is the least common multiple of 6 and f(-4)?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 12?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**3 + 0 + 5*t**2 + 0 - 3*t**3.\nAnswer: -t**3 + 5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 51102 and 2070?\nAnswer: 5876730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, 506, -159 in descending order.\nAnswer: 506, 34, -159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -403, -2, -17 in ascending order.\nAnswer: -403, -17, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2971 - -11885\/4. Let q be (-6)\/3 + (-57)\/(-24). Factor x*t**3 + 1\/4*t**2 - 3\/8*t + 1\/8*t**5 + 1\/8 - q*t**4.\nAnswer: (t - 1)**4*(t + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/3 - 131588*k\/3 - 789744.\nAnswer: 2*(k - 65812)*(k + 18)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3293535 - 3293535 - 89*x.\nAnswer: -89*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.18 + -1.82. Let t = 3 - 2. What is the smallest value in r, -1\/10, t?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 115\/(-207)*(-3)\/2*-2\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -62769800 or -62769802?\nAnswer: -62769802","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -0.5, -43, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -0*k + k. Let r = k + 8. Suppose -r*s - 7 = -88. Calculate the greatest common factor of 18 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*w + 5*q + 32304 = -50*w, 5*w - 40354 = 3*q. Does 37 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39) - -1*sqrt(975))\/sqrt(3).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5122111 + 1?\nAnswer: 5122112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 127 = 27. Suppose 1 - m = -12*o. Is 1\/1 + 158*o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/14 + 155 + -154.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1967534?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24705 and 400.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.073 from -9796.4400641.\nAnswer: -9796.3670641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 856735691, 856735693, 856735695, 856735697?\nAnswer: 856735699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3848 divide 260378768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 11 + 9*s - 5*s)*(-13*s**2 - 4 + 4).\nAnswer: -26*s**3 - 143*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 + c + 1. Determine g(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.140525g in micrograms?\nAnswer: 5140525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/19 (b) 385 (c) -13 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 125281328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 84 = 0, -7*d - 3846*x + 3858*x - 217 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 2\/9, -291 in decreasing order.\nAnswer: 2\/9, -2\/9, -291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 190 = -4*a. Put 5, -5, a in descending order.\nAnswer: a, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29111980?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 143 - -20231?\nAnswer: 20424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**2 - 13*f. Let p be r(-6). Suppose 2*h - p = 2*j, h - j = -5*j + 28. Solve 11*v - h*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -176 + 373. Let o(x) = -370*x - 1. Let z be o(-1). Let p = z - j. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 69830768261 and -0.1.\nAnswer: 69830768260.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -3 + 3 - 2*h**2. Suppose -2*j + 0 = -4. Let q(c) = 0*c**2 - c**j + 3*c**2 + 0*c**2. Calculate q(v(y)).\nAnswer: 8*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 divided by -4292879.\nAnswer: -22\/4292879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 13 + 7 + -3 + -11 + 1 + -1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -293*z - 722 = -942 - 1831 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/10*16\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/1232910 and 47\/4120?\nAnswer: 4931640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 7*u = 5. Suppose -2*z + 1 = -u. Suppose 5*o = 2*g - 11, 9 = 2*g - 3*o - 0. Sort g, 4, z in descending order.\nAnswer: 4, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-6) - 0)\/(10\/30). Let i be 16\/(-6)*(v + (-28)\/16). Which is greater: 13\/21 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -2844996.\nAnswer: 853498.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 174043 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -28*c**3 + c**2 + 4*c - 7. Let f be g(3). Let p = -485 - f. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/7 - 212*y**2\/7 - 410*y\/7 + 624\/7.\nAnswer: -2*(y - 1)*(y + 3)*(y + 104)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -3*b + 198, 1562*x = 1559*x - 3. Solve -b*v = -76*v - 27 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a + 1. Let c be w(-4). Suppose -12 = 4*b - 8*b, b = c*k - 2. Solve 14 = 3*p - k for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 - 479 = -40*y - 44*y. Solve -3*d - 11 = -2*x + 3, 0 = -2*d + y*x - 13 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - 6*y**2 - 2. Suppose -4*n = -12, 4*g = -g + 4*n - 127. Let z = g - -24. Let t(u) = -4*u**2 - 3*u + 1. Let p be t(z). Calculate d(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1221.7 - -0.054391?\nAnswer: -1221.645609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h**2 + 1 - 1)*(2 - 2 - 4*h)*(-1690*h + 305*h + 719*h) as o*h**3 + f*h**2 + a + g*h**4 + d*h and give g.\nAnswer: -2664","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.6 + 0.4. What is the nearest to -4 in 0.1, -2, c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10100000011110 (base 2) to base 6\nAnswer: 115314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -59, -116, -173, -230, -287?\n\"Answer: -57*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2645 is divided by 866?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -7*k - 520. Let h be d(-76). Solve 0 = h*o - 17*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4858186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k + 4*k - 4*k + 17 - 17 - 4*k + (-5*k + 2*k + 2*k)*(1 + 1 + 0) as w*k + i and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24787 is divided by 67.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of -d**3\/2 + 196*d - 18. Let k = -29 - -19. Let q(s) = 2*s + 3. Let y(f) = 6*f + 10. Let b(g) = k*q(g) + 3*y(g). Give b(c(x)).\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 60*j**2 - 48*j - 1200. Let k(o) = o**2 - o - 25. Let q(b) = g(b) - 48*k(b). Let p(v) = 1611*v**2. Give q(p(u)).\nAnswer: 31143852*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 10:06 AM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 6*q - 18. Suppose -3*m - q*o = 4, -o + 0 = -2*m + 2. Which is the third biggest value? (a) 0.09 (b) 2 (c) -3 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27 and 15?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 2514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*w = w, 2*w + 10 = 0. Suppose 2*h + 7 + 11 = -3*o, -a*h = o + 19. Let p = 12 + -13. Is p greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5804635 to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174992?\nAnswer: 2, 10937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/3 (b) 1\/2 (c) -0.38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/95062700 and -15\/3802508.\nAnswer: 95062700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22*q**4 - 3*q**4 + 45*q**4 + (-q**3 + q**3 - q**4)*(3 + 3 - 4).\nAnswer: 62*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1734, -3175, -4594, -5991, -7366, -8719, -10050?\nAnswer: -11359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/411532 and -36\/24079.\nAnswer: 4526852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 k when two letters picked without replacement from qenck.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-20)*24\/27)\/(-80*22\/3960).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(33)\/(sqrt(9)\/sqrt(3)))**2.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -53?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of 5*p**3\/3 + p**2\/2 - p + 1. What are the prime factors of c(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -9048*a - 146. Let w be (-552)\/54 - -10 - (-32)\/(-18). Let q be j(w). Round q to the nearest one thousand.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6\/5657 + 1216231\/22628. Let x = 54 - g. Factor 0*j + x*j**4 + 0 - 1\/2*j**3 + 0*j**2.\nAnswer: j**3*(j - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 7) to base 14.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 105897 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -3*f + 45. Let s be (72\/15)\/(f\/30). Suppose -2*o = -46 + s. 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 remainder when 461842 is divided by 115455?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*k*w**2*y + 6*k*w*y - 8*k*y + 13*w**2*y - w**2 - 2*w wrt w?\nAnswer: -4*k*y + 26*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3*m = -1810, 4 = -5*m - 21. Let i = 2600 - z. Suppose -6*q = -q - i. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4083*g + 3682760 = 4175*g. List the prime factors of g.\nAnswer: 2, 5, 4003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 - 156. Let j = s + 131. Suppose j*p + 2 = 2*m + 9, -5*p = -15. Solve 8 = m*g - 12 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 459209337?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 + -9. Suppose 2*f + 0*f = y + s, 4*y = -5*f + 12. Solve 3*j = -f*w + 14, j + w - 18 = -3*w for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -729 - -1521. Is d a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a = 28 + 92. Solve 7 = 4*o + a for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 5*i - 25 = 1, 3*p - i = 26. Let h(u) = -p - 8 + 2*u**2 + 4 + 0. Let b = 294 - 295. Let m(q) = -1. What is b*h(x) + 12*m(x)?\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3690 and 432017.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140*(-8)\/144 + 4\/(-18).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/4, 3, -6, -203 in descending order.\nAnswer: 3, -5\/4, -6, -203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 6*o - 43. Give n(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 11*w + 0*w**3 - 177*w**2 + 276*w**2 - 5*w**3 - 1 - 100*w**2 to the form z*w**2 + c + q*w**3 + f*w and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - 13214.8875265.\nAnswer: -13214.3875265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6613429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 3 - 15. Let g(f) be the second derivative of 0*f**2 - 1\/30*f**6 + 0*f**a - f + 0 + 0*f**5 - 1\/12*f**4. Find the third derivative of g(q) wrt q.\nAnswer: -24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - 1\/(1*-4)*(-552)\/46. Let i(y) = y**3 + y**2 + y - 1. Determine i(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 43 and 688?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c - 17. Let g be r(9). Suppose -z - 29 - 60 = -4*d, d - g = -4*z. What are the prime factors of d?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5099404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbu when three letters picked without replacement from {u: 2, b: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1512, 2901, 4060, 4875, 5232?\n\"Answer: -19*r**3 - r**2 + 1525*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, x: 5}. What is prob of sequence xj?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 11854?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8612?\nAnswer: 2, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/2 - (4 + -3). Let a = -1525\/3 - -502. Calculate the common denominator of ((-309)\/(-4))\/((-27)\/s) and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 9, 5\/4, -36, 0.2 in decreasing order.\nAnswer: 9, 5\/4, 0.3, 0.2, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -7724 (base 11) in base 14?\nAnswer: -39dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -87002 + 157333. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36 - 154*a**3 + 465*a**3 + 34)*(-5 - 4 + 3).\nAnswer: -1866*a**3 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 3*f = 23 + 18, 0 = 2*m - f - 13. Suppose 2*p - 4*s = m, p + 5*s - 6 = 19. Solve -3*q + 1 = p for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 0 - 1 - (2 - -4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 6*m**3 + m**2 + 2. Suppose -61*v = -115 - 7. Determine g(v).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 1209.\nAnswer: 5\/1209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6164 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 12*a**2 - 4*a - 16. Let u be b(-12). Find the second derivative of -9*v**5 - 230*v + 208*v + u*v**5 wrt v.\nAnswer: 460*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -a + 8, -738 = s + 4*a - 749 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -0.1, -137.\nAnswer: -137, -0.1, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4\/7 (b) -1\/9 (c) -2\/323 (d) -1\/11 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -17*1*(-3 - -2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkk. What is prob of picking 3 k?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 140629 + -140708.033. Let t = 79 + g. Let j = t + 6.333. What is j rounded to zero dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 33, 51, 71, 93, 117?\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28302 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -6, -1, 10, 27, 50?\n\"Answer: 3*w**2 - 4*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-15)*(-1365)\/42.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128106*g - 2*g**3 - 128106*g.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qoivqxqqvqxqoxvqvv. What is prob of picking 2 o and 2 x?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) - (sqrt(209) + (sqrt(209) - (sqrt(209)*2 - sqrt(209))) - sqrt(209)))*6)\/((sqrt(121)*-2)\/sqrt(11)).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1 - ((-45)\/6)\/5\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(1*(-21)\/(-9))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*p**4 + 10959*p**3 - 460026*p**2 + 6429780*p + 222264 = 0.\nAnswer: -1\/29, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-10*(-88)\/(-2860))\/(4\/26)*(-2)\/(-44)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*b**2 + 243\/5 + 1\/5*b**5 + 81*b + 3*b**4 + 18*b**3 = 0. Calculate b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11188000 to the nearest one hundred thousand.\nAnswer: -11200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 9 (b) -0.1 (c) -0.5 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3*l + 1186 = 2*l, -5*l = 5*q - 1210. What is the remainder when q is divided by 79?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.3 (b) -5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 135430?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - 137) + 140 + (-2 - (-41 + 0)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90330*t**3 + 180661*t**3 - 90337*t**3.\nAnswer: -6*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**4*s)\/(s\/s**(2\/17)))\/((s*s**3\/s)\/((s**(2\/7)*s)\/s)))\/((s*s**(1\/4)\/s*s)**16)**(-2\/7) assuming s is positive.\nAnswer: s**(121\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**2 - 3*b + 4. Let p be r(-3). Let y = p + 8. Let w = y + -3. Is w less than or equal to -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3\/13, 4, -2\/7, 1\/4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2088\/19 - -47948\/437. What is the nearest to -2\/13 in -0.5, d, 4, -4\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -336*z. Let o(h) = 27*h**2. Calculate o(p(r)).\nAnswer: 3048192*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of f + 1\/3*f**3 - 1\/2*f**2 + 6. Suppose -4*m + 0*a + 4 = a, 3*a - 5 = -5*m. What is r(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -3*m**3\/7 + 201*m**2\/7 - 393*m\/7 + 195\/7 = 0?\nAnswer: 1, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -291, -293, -295, -297, -299, -301?\nAnswer: -303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 196 = -4*f + 11561, -13*f + 38331 = -g. What is the hundreds digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-900)\/84 + 4\/(-14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 q when four letters picked without replacement from {q: 6, l: 3, d: 3, m: 1}?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -8 - (-210)\/25 - (696\/(-48))\/(70\/(-4)). Let x be ((-3)\/(-4)*2)\/3. What is the nearest to x in m, 1, -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 54718 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 + -6. Let t be 5*2 + r\/(-10). Let p = -7 + t. Calculate the greatest common divisor of p and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y**4 - y**3 + y**3)*(2 + 4 - 4)*(2 + 2 - 1).\nAnswer: 24*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -2\/13 (b) 4\/9 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -143136013 (base 7) in base 11?\nAnswer: -53669a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -840*d = 846*d - 1681*d - g + 58, -4*g = -5*d - 187 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21031?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -64.64 + -0.36. Let x = a - -62.2. What is the biggest value in -0.3, x, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from edqqxtextqqj. What is prob of picking 1 q and 2 x?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1922\/434 + 5\/(-1).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88245, 176487, 264729?\nAnswer: 352971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1549, -1489, -1429, -1369, -1309, -1249?\n\"Answer: 60*i - 1609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/(-6))\/(-7)*6\/4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 54 - -11. Let c = p + -44. Suppose 1273 = 5*y + 1238. What is the greatest common factor of c and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4353*v + 4351*v + 7 = l, 0 = 7*l + v - 36 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3 + 6 - 3*n + 0 + 17*n. Let m be j(2). Let c = m - 31. Solve 2*k - 5*h + 3*h - 6 = c, 4*h = -4*k + 12 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9241031 a multiple of 730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 180, 343, 494, 633, 760, 875, 978?\nAnswer: 1069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1373 + -718. List the prime factors of v.\nAnswer: 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v + 8*v - 16*v - 4*v - 11*v. Let t be (-39)\/(-21) + 1\/7. Let w(z) = -4*z**2 - z**2 - z**2 + 3*z**t. What is w(j(u))?\nAnswer: -1323*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 12*g**2 + 11*g - 3. What is z(11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qeefbefeeeefeffff. Give prob of picking 1 b and 1 f.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 2.173.\nAnswer: -0.8692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 465, 905, 1639, 2667, 3989, 5605, 7515?\n\"Answer: 147*z**2 - z + 319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -183*t**5 + 33*t**2 + 4 wrt t?\nAnswer: -10980*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 4*q - 73 - 3, -36 = -2*q - m. Let b(z) = z**3 - 3*z**2 - 7*z + 5. Let r be b(5). Calculate the common denominator of q\/(-6)*r\/16 and -89\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 - 7*l**2)*(-17*l**3 - 13*l**3 + 12*l**3) - 2*l**5 - 7*l**2 + 3*l**5 + 11*l**2.\nAnswer: 127*l**5 + 4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2525134 divided by -1658.\nAnswer: 1523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -46372 and -4?\nAnswer: 185488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = u - 6 + 18, 3*u + 14 = 5*z. Let c(n) = n**3 + 5*n**2 - 5*n - 23. Let i(t) = -2*t**3 - 8*t**2 + 8*t + 35. Calculate u*c(b) - 5*i(b).\nAnswer: 2*b**3 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u + 55 - 55. Let z(t) be the third derivative of -t**5\/12 + t**2. Calculate z(p(y)).\nAnswer: -20*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-0.1298.\nAnswer: -0.01298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30141492 to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 - -16. Suppose -2*t = 2*t - 4. What is the closest to h in -1, t, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5 + 72\/15 + 18\/(-10). Let x be -3 - (-4 - (7 + t)). What is the third derivative of 53*b**2 - 8*b**x - 31*b**2 - 24*b**2 wrt b?\nAnswer: -960*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 0.1069\nAnswer: -0.04276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -361, -358, -355, -352, -349, -346?\nAnswer: -343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 204, 411, 734, 1167, 1704, 2339, 3066, 3879?\nAnswer: 4772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.8 times 0.5?\nAnswer: -4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((95\/35)\/(-19))\/((-6)\/24). Sort 3, q, -0.2, 2, -4 in decreasing order.\nAnswer: 3, 2, q, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1090)\/(-1526) + -590*158\/(-28).\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46.5811 rounded to the nearest integer?\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of 95\/4*n**4 + 19 - 3\/2*n**2 - 3*n + 5\/3*n**3. Is p(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 81.66184cm?\nAnswer: 816618400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00009672 to six decimal places.\nAnswer: 0.000097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*l**2 + 1336*l + 1332 = 0. What is l?\nAnswer: -333, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -289 + 782. Calculate the remainder when c is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 2*f = 612, -2*k + 5*f - 612 = -4*k. Let l be 4\/18 - 122\/k. Let i = l + -13\/119. Which is the third smallest value? (a) -0.3 (b) i (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a tonne in kilograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1737*u - 683*u + 2655 - 36383 for u.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 0 + 65*(-280)\/455\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -62, -128, -196, -266, -338, -412?\n\"Answer: -t**2 - 63*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8, 16\/5, -8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2*u = 13, -o - 3*u = -7*u + 5. Solve 2*c - 5*c - o = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -3*d**2 + 7820808*d - 5097086481072 = 0.\nAnswer: 1303468","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 434806 is divided by 46.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -53239095*l**2*r - 9*l**2 - 182*l - 3784 wrt r?\nAnswer: -53239095*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -233, -461, -683, -899, -1109, -1313?\nAnswer: -1511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267 is divided by 68.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2183? (a) 0.5 (b) 0.1 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l**2 + 44*l**2 - 63*l**2 - 112*l**2.\nAnswer: -131*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**5\/4 + v**4\/2 + v**3\/2 - v**2 - v\/4 + 1\/2 = 0. Calculate v.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 63303345?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 c when two letters picked without replacement from rpppcpcpppppppr.\nAnswer: 22\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/3 - 524604*z - 103203508806.\nAnswer: -2*(z + 393453)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 3*z + 2*z - 1124, -5*z = 20. Let w be 4\/(-12) - (-1 + x\/3). Round w to the nearest 10.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**2 - 209683660*n + 209683656.\nAnswer: 4*(n - 52420914)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 349*g + 15*g**2 - 173*g - 176*g.\nAnswer: 15*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 615 = 5*q, 5*q + 2*o + 149 = -466. Let w = 256 + q. Is w a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t. Let q(z) = 3*z + 672133. Give q(a(f)).\nAnswer: -3*f + 672133","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 926212.5cm in meters?\nAnswer: 9262.125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11468025 to the power of 1\/3, to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence np when two letters picked without replacement from ppnnppnnhnppnnphhpp.\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((63\/(-54))\/(-7))\/((-32)\/(-12))*3.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, t: 1}. Give prob of picking 1 t and 1 d.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00091896954 to 6 dps.\nAnswer: 0.000919","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) -1 (b) -1\/6 (c) 1\/8 (d) -1.498\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*s**2 + 2*s**4 - 2*s**2)*(2 + 3 - 4 + (-1 - 2 + 1)*(1 + 3 - 2)) to h*s**4 + r*s + g*s**3 + m*s**2 + d and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1774 is divided by 1756?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 88\/(-80) + -1 + (-8)\/(-5). Which is the biggest value? (a) m (b) 2\/15 (c) -1\/8 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p**2 - 42*p + 1. Let w(c) = -17*c - 1. Give -i(v) + 4*w(v).\nAnswer: 2*v**2 - 26*v - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*y - 2*l = -51*y - 63116, 0 = 3*l + 9. What is the hundreds digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -234\/35 + 44\/7. Let r(n) = -2*n**3 + 2*n**2 + 3*n + 4. Let g be r(3). Let d = -28 - g. What is the closest to i in d, -2, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46037 rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*h**4 - 96*h**3*r - 3*h**2*r + 3*h**2 + 14*r wrt h?\nAnswer: 96*h - 576*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -636532681 - -30268.\nAnswer: -636502413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -24858891 rounded to the nearest one hundred thousand?\nAnswer: -24900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -5, 14756, 4, -12 in descending order.\nAnswer: 14756, 4, -5, -10, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4832*i - 4832*i + 5*i**2.\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -6 + 2\/15*o**5 - 1\/2*o**4 + 0*o + 4\/3*o**2 + 0*o**3. Suppose y(k) = 0. What is k?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 s when four letters picked without replacement from {n: 2, s: 10, u: 2, c: 2, a: 2, r: 2}.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 7*q - 272. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 21\/5 of a micrometer?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/8 of a century?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 0. Let x(r) = -r**2 + 16. Let m be x(5). What is the remainder when 29 is divided by 2 - 1 - (m - c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130645.2cm in millimeters?\nAnswer: 1306452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, h: 3, a: 5, i: 3, t: 4}. Give prob of sequence ati.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1358460 or -14?\nAnswer: 1358460","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, u: 7, b: 2}. Give prob of picking 2 b and 1 u.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + -3. Let c(s) = s + 11. Let t be c(-8). Let a be -3*(t - 10\/6). Sort -5, a, m in ascending order.\nAnswer: -5, a, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 541109770?\nAnswer: 2, 5, 2137, 25321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2191*a**2*y**2 + 7*a*y**2 + 1085*a*y wrt a?\nAnswer: -4382*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 79\/8. Let d = -6 - 4.5. Let n = d + 10. What is the nearest to 1 in u, n, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/21360 and 11\/144180.\nAnswer: 576720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -645959.3700511 + 645962.27. Let j = h + -2.9. Round j to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18329*d - 25032187 wrt d?\nAnswer: -18329","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5763574079?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 44\/247, 0.1, 0.6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2509 - 2506. Let m = -6 - -3. Let j = -2 - -2. Which is the closest to -2? (a) f (b) m (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.85369 rounded to two dps?\nAnswer: -2.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59 - 21*p**2 + 27 + 29.\nAnswer: -21*p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 4*z**3\/3 - 22*z**2\/3 + 28*z\/3 = 0.\nAnswer: 0, 2, 7\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60979943*g + 3 - 3 + 60979959*g.\nAnswer: 16*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1015 and 8505?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -5*l**3 + 2*l**2 + 2. Let m be f(2). Let t be m\/(-20)*(-20)\/(-279). Let b = -668\/1023 + t. What is the third biggest value in 2\/5, b, -0.5, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 r when three letters picked without replacement from {a: 3, x: 1, f: 6, r: 2}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 302890 is divided by 516?\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2704 plus -1.3?\nAnswer: -2705.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c**2 - 10*c - 3. Give a(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -231 + 39. Let p be (-36)\/j - (-7)\/(-20). What is the smallest value in 3\/2, 0.5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 107946 + -45103. What is the ten thousands digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 560 is divided by 29.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 147761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -118\/1839429?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -791, -796, -803, -812, -823?\n\"Answer: -w**2 - 2*w - 788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-32 + 0 + 4 + -3 + 365 + -376)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (1 + -5 - (37 + (55 - 44)))?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -38929462 less than 3439?\nAnswer: 38932901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -3*w. Let s(a) = a**2 - 7*a + 6. Let k(t) = -t**2 + 6*t - 5. Let r(l) = 7*k(l) + 6*s(l). Let b(p) be the first derivative of r(p). Give b(v(j)).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 602 is divided by 61?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5.12 and -6424889.05.\nAnswer: -6424883.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) + (sqrt(152) - -1*sqrt(152))*1 + sqrt(152) + 3*(sqrt(152)*1 - sqrt(152)))\/(-1*(sqrt(768) + sqrt(48))\/sqrt(6)).\nAnswer: -4*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5205083.8 days in weeks?\nAnswer: 743583.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -152*t**6 + 7*t**3 - t**2 + 9. Let b(o) = 151*o**6 - 6*o**3 - 9. Let i(r) = -7*b(r) - 6*m(r). Find the third derivative of i(d) wrt d.\nAnswer: -17400*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 10, 20, 34, 52, 74, 100, 130?\n\"Answer: 2*k**2 + 4*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2195.6424 rounded to the nearest one hundred?\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -187013*b**2 - 197995.\nAnswer: -374026*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1693088*f + 708949?\nAnswer: -1693088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 + -22.3. Let c be (-204)\/(-180) + (1 - 2). Sort c, 0.1, p in descending order.\nAnswer: p, c, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-55)\/1155)\/((-11)\/1155)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 3941.\nAnswer: -3941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*g + 360*g + 220*g - 14*g - g.\nAnswer: 479*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, 3, 61, 187, 405, 739, 1213?\nAnswer: 1851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47532072.\nAnswer: 2, 3, 7, 19, 14891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -r**4\/8 + r**3\/3 + 4*r**2 - 5. Let p(d) = -5*d + 4. Give -2*p(c) + 5*u(c).\nAnswer: -5*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + (-48)\/21 - (-4 - -3). What is the second biggest value in -4\/3, 1\/8, -4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 151 + -124. What is the remainder when 188 is divided by v?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2245556175.\nAnswer: 3, 5, 29940749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1442 = -307*n + 300*n. Is n a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14245.263us in minutes?\nAnswer: 0.00023742105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 + 3 - 5)*(0*t - 7*t + 2 + 4*t) in the form n*t + f and give f.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.6, 3, 2\/13607 in ascending order.\nAnswer: -2.6, 2\/13607, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4769 and 251.\nAnswer: 4769","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1858?\nAnswer: 2, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/6)\/(((-15)\/180)\/(1\/(-4))).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22544 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/10044 and -25\/37.\nAnswer: 371628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 7 = -28. Let w be (4 - t) + 123\/27. Which is bigger: w or 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 81 + -57. Let y be (t\/(-20))\/((-6)\/20). Suppose -3*h = -y + 1. What is the lowest common multiple of h and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, v: 14, b: 2}. What is prob of sequence vvv?\nAnswer: 91\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (731 + 237*g + 122*g - 361*g)*(-2 + 0 + 0) as d + o*g and give d.\nAnswer: -1462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 132362 + -132364. Let z = 0 - -0.1. Sort z, w, 1\/13 in ascending order.\nAnswer: w, 1\/13, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 5*t**2 + 3*t + 8. Let w(z) = 2*z**2 - 1. Let f(j) = 6*w(j) - y(j). Calculate f(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kmme when four letters picked without replacement from omqwoqqqoqokweemowq.\nAnswer: 1\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3.918 times 16073\nAnswer: 62974.014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) + -2 + sqrt(99) + -1 - (sqrt(99) + sqrt(99) + -2 + 0)) + (1*(sqrt(99) + -2) - (2*sqrt(99) + -2)))*-3.\nAnswer: 3 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hddhhdddhdhdd. What is prob of picking 2 d and 1 h?\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0\/m**(-3\/4))**40*(m\/m**(2\/3))**45*m**(-6)\/m*(m**3*m)\/m assuming m is positive.\nAnswer: m**41","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 122 + -144. Let l be 323 + (4\/(-18) - a\/18). Suppose u + 48 = l. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 16*w - 1. Let t be k(1). Suppose -3*v + t = 4*o, 4*v - 20 = -0*o - 5*o. What is the third derivative of -2*y**2 - 2*y**5 - 3*y**v + 6*y**5 wrt y?\nAnswer: 60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*l - 6*l + 72. Solve 7*j = l*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/18 and (-10004)\/(-3050)*5\/(-504)?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 740187?\nAnswer: 3, 7, 31, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 280119 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 1)*(8 + 24 - 15 + 19*p) + 1 - 1 - 2*p + (2*p + 3 - 3)*(1 + 2 - 5).\nAnswer: 13*p + 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 4, 12, 34, 76, 144?\nAnswer: 244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) + -1)**2*-6 - sqrt(99) - ((sqrt(1584) + 0 - sqrt(1584))**2 - (1 + sqrt(539))))*-4.\nAnswer: -160*sqrt(11) + 2396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + j. Let z(w) = -2*w**3 - 2*w**2 - 2*w. Suppose 3*t - 2 = 5*t. Let q(l) = t*z(l) - 2*m(l). Let g(r) = r**3. Calculate -3*g(x) + 2*q(x).\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 142214203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*y + 17387 + 10554 - 6946 = -349*y for y.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/((-594)\/(-4)) + (-67)\/(50652\/(-56644)).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86735750.\nAnswer: 2, 5, 346943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + v = 35. Suppose -v = 3*t + 2*n, -n - 2 = 4*t - t. Let o(w) = -w**3 - w + 1. Let p(g) = -6*g**3 + g**2 - 3*g + 5. What is t*p(y) - 5*o(y)?\nAnswer: -y**3 + y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5022\/23485 + -27\/854. Find the common denominator of v and -31\/35.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -376 - -374. Let l be -3 + ((-4)\/i - -3). Solve -l*y - y = 15 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 46*y = 48, -5*c - 3*y + y + 35 = 23 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10434\/(-1665) + 196\/35?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8 - j - 2*j + 2*j + (3 - 5 - 5)*(j + 3*j - 2*j).\nAnswer: -15*j + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -110 - -120 - -33 - -20.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7675*i**2 - 3841*i**2 + 326 - 3842*i**2 to the form l + s*i + j*i**2 and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yujyyjx. Give prob of sequence uxy.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -3*v**2 + 76*v - 174. Calculate q(23).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 15) in base 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 + 3)*((-4 + 4 + y)*(y - y**3 - y) - 2*y**4 + 4*y**4 - 4*y**4 - 2*y**4 + 2*y**4 + y**4).\nAnswer: -12*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7774?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-2 - 1)) + (-1 - 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.04 - 2.04. Let v = 8711 + -8712. What is the second smallest value in 0, v, n, 0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 36*h**2 - 3*h + 2. Let z be g(2). Let p = z - 218. Let x = -52 - p. 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: Which is the nearest to 1\/4? (a) -1915\/3 (b) 2\/9 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3*57\/(-36)*(-300)\/(-75)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5440)\/256*20\/25*-1.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.07 rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -45*s - 30. Let l be w(6). Round l to the nearest 10.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 22, -0.2, -1.7, 8 in ascending order.\nAnswer: -5, -1.7, -0.2, 8, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of 5*p**4\/24 - 5*p**3\/3 - 10*p. Factor z(q).\nAnswer: 5*q*(q - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 - 2*l**3 - 2*l**2)*(-1 - 2 + 2)*(7 - 9 + 18)*(1 + 17 + 3).\nAnswer: 672*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -4*l + 52. What is the remainder when l is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -209.\nAnswer: -104.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 29339.112 months in centuries?\nAnswer: 24.44926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - 8*w**2 + 8*w - 13. Let x be b(-9). Is 35 a factor of 69 - 2\/x*(3 - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 926.6429 milligrams to kilograms.\nAnswer: 0.0009266429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/51 and -61\/68238.\nAnswer: 68238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 120789, 120792, 120797, 120804, 120813?\nAnswer: 120824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7176694, 14353388, 21530080, 28706770, 35883458, 43060144, 50236828?\nAnswer: 57413510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 5*o = -24, -5*y - 2*o + 26 = -14. Is ((-521)\/(-2))\/(y\/16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100000111110101 (base 2) in base 5?\nAnswer: -1020020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1515 divided by 3.\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 285218179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1280.256cm?\nAnswer: 12802560000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*n**3*y**2 + 7*n**3*y - 6*n**2*y - 125*n*y**2 + n + 7*y**2 wrt n?\nAnswer: 54*n*y**2 + 42*n*y - 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05724548 rounded to 4 decimal places?\nAnswer: 0.0572","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5639 is divided by 57.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1477331 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*g - 8 + 112 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2076.69+-57919198\nAnswer: -57921274.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 45 = -44. Suppose -41 = -5*v + x. What is the remainder when 76 is divided by v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -100*l**4 + l**3 - 430*l.\nAnswer: -1200*l**2 + 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - (-6 + 3\/1). Suppose -k*s - 11 = 1. Let d(x) = x**2 + 3*x - 4. Calculate d(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 1 = 5. Let t = 14 + f. Is 3 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of 3*b**4\/4 + 4*b**3 + 15*b**2\/2 + 6*b - 3. Factor c(n).\nAnswer: 3*(n + 1)**2*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2119075 - 0.212. Round w to five dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -7*j + 13. Suppose 12*p - 38 - 51 = 19. Calculate z(p).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 0.4, -4.\nAnswer: -4, 0.4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 415183 is divided by 83034?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 152 and 807652.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2476 and 278062228.\nAnswer: 2476","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -587, -587, -577, -551, -503, -427, -317, -167?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 12. Let c = i - 1. Is c\/(-12) - 231\/(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -308 - -303. Let d = -255 - -256. Which is the closest to 3? (a) -2\/11 (b) d (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + -13. Let k = -1.2 + d. Sort -0.5, k, -3 in decreasing order.\nAnswer: k, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5051?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**2 - 27770*c + 198250975.\nAnswer: -5*(c - 4105)*(c + 9659)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 4*p**2 + p - 9. Let s be -6 - ((-32)\/(-24))\/((-6)\/9). Determine g(s).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -10. Solve 2*l + 8 = 0, 2*w + h*l = -0 - 20 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, w: 10}. Give prob of sequence iw.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Solve -22*t - 72 = -4*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81 = -q - 4*x - 28, 794*x - 534*x + 1216 = -4*q + 346*x for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 310405?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 + -0.1. Let p = -2.54 + 1.18. Let h = -1.56 - p. Which is the nearest to h? (a) u (b) 0.3 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 215254801, 215254800, 215254799, 215254798, 215254797, 215254796?\nAnswer: 215254795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -3*z**3\/7 + 3*z**2 - 48*z\/7 + 36\/7 = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 15\/53 (b) -7 (c) -0.3 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -157 and 127045 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 588*y**3 - y**2 + 114*y**3 - 21291 + 271*y + 177*y + 21291 wrt y.\nAnswer: 4212*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 222202 (base 3) in base 4?\nAnswer: 23102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 11082 + 25831 = -3*m, 2*k + m - 18459 = 0. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 4*q + 3*n + n, 2*q + 3*n = 7 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 356 times -0.5?\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 5*u + 5 = 12, 3*u + 3 = 3*z. Let n be (7 + -10)\/((-2)\/z). Suppose 33 = n*g - 9. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 33, 222, 735, 1734, 3381, 5838, 9267?\n\"Answer: 27*b**3 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -174 - 39469.\nAnswer: -39643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from opuaou. What is prob of sequence uoo?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135*q**3 - 203*q**3 - 41*q**3 + 87*q**3 - 95*q**3.\nAnswer: -387*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.126153 + 277?\nAnswer: 276.873847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1906, -1963, -2098, -2347, -2746?\n\"Answer: -6*j**3 - 3*j**2 - 6*j - 1891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -3*r - 7. Let k(g) = -g + 1. Suppose 34 = w + 38. What is w*k(s) + h(s)?\nAnswer: s - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1029517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, s: 13, h: 3, t: 2}. What is prob of sequence kt?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -7298, 7, 16 in decreasing order.\nAnswer: 16, 7, 3, -7298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -5*u**3 - 13*u - 36*u**2 + 7*u**3 - 6*u**3 + 16 + 8*u. Is m(-11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14827, -14828, -14831, -14836, -14843, -14852?\nAnswer: -14863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 799\/3 - 267. What is the third biggest value in 0.4, 1\/7, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 64593 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 353.0818 millimeters in meters?\nAnswer: 0.3530818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 2 e, and 1 d when four letters picked without replacement from edsrdderddssrserrrr.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -i - 1 + 1 + (-2 - 1 + 2)*(-2*i - 1 + 1) - 3*i - 1 + 1 in the form n + m*i and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (8 - -4) + -5.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(972) + sqrt(972) - sqrt(12))\/(sqrt(18)\/sqrt(3)*1) + ((sqrt(22) - 1*sqrt(22)*-2)\/(sqrt(121)\/(sqrt(33)\/sqrt(3))))**2.\nAnswer: 18 + 26*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiii. What is prob of sequence iiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + 0. Let v = 29 - 25. Differentiate -b - 5 + f**2 + v wrt f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5366 (base 8) to base 7\nAnswer: 11116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of l**2\/2 + 4*l - 1837. Let g(w) = -2*w - 4. What is 6*g(s) + 7*i(s)?\nAnswer: -5*s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 5*o - 7 = -46, 5*b - 2*o - 45 = 0. Does 2 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2134*a**2*f*l - 2*a**2*f + 9*a**2*l + a**2 + 1787*a*l - 32*f wrt a?\nAnswer: -4268*f*l - 4*f + 18*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4 + 4.4. Let k = -139685\/6 - -23280. Which is the closest to h? (a) 4 (b) k (c) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0*(-12)\/(-72))\/2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 971215123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 0*l = 3*l - 24, -w + 2*l - 1 = 0. Suppose 2*p - 4*r + 1517 = w*p, -10 = -2*r. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.08 in 2, -0.4, 2\/13, 6, 1\/6?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 6:28 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*r - 99 - 7975. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 332841?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 5*j**2 - 11*j. Let s(p) = p**2 - 2*p. Let y(o) = -2*b(o) + 11*s(o). Let t(g) be the first derivative of 8*g**3\/3 - 15. Give t(y(l)).\nAnswer: 8*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 2\/27, 0, -1\/3, -5\/4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 171 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 129580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2035, 1935, 1833, 1729?\n\"Answer: -i**2 - 97*i + 2133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 399*t + 653. Is 73 a factor of b(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 102\/(-170)*1\/(6\/(-4)). Suppose -3\/5*g**2 - x + g = 0. Calculate g.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/182 and -137\/8034.\nAnswer: 56238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, y: 11, d: 4, c: 1}. What is prob of sequence ctdd?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -301\/4 - -76. What is the smallest value in 7, 13, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - ((-190)\/52 - 34\/(-221))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-4)*-2 - 12\/6.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -558743 less than or equal to -558740?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -147*y - 1 - 6 + 145*y - 12. Let h be j(0). What is the common denominator of 30\/(-45)*h\/3 and -41\/11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -225*b**3 + 2161*b - 1645432.\nAnswer: -675*b**2 + 2161","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 9*t**2 - 77*t - 1648. Does 124 divide l(-35)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*r = -143*r - 70 - 104 - 42 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 8 + 23. Let h be ((-5)\/(-3)*a)\/1. Suppose h*u + 22 = 87. Is u a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1800 + -1743. Calculate the smallest common multiple of c and 342.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -6, -6 = -3*f + 3*y - 0. Suppose 0 = -f*p - 5*p + 55. What is the remainder when 19 is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -429 = 55*o - 319 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -34*b - 24. Let d be g(-1). Let n(w) = w**2 - 17*w + 72. Determine n(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -474, -1409, -2814, -4689, -7034, -9849, -13134?\nAnswer: -16889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9288 is divided by 9218.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.6 + 2.6. Let c(z) = z - 5. Let b be c(7). Suppose b*h = -2*h + 3*t - 11, -5*h + 2*t = 19. Sort s, h, 5 in increasing order.\nAnswer: h, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 4:59 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4311475?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39838 or -0.0921?\nAnswer: -0.0921","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 5*i = 277, -4*h + 7*h - 2*i = 444. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 17*z - 647 + 499 = 0, 2*r - 14 = z for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2716*j = -2728*j. Let y(p) = -p**3 - 5*p**2 - 5*p - 2. Let u be y(-4). Sort -5, j, 1, u in decreasing order.\nAnswer: u, 1, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/4 + 37\/(-2) + -1. Let i be -27*1*k\/(-6)*-2. Let g(l) = -7*l - 6. Let n be g(-6). What is the greatest common factor of i and n?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) 1\/19 (c) 4.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 96322138 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 80 = -32. Let g = 2 + w. Is (1\/2)\/((-1)\/g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 113, 116, 119?\n\"Answer: 3*n + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -73, -178, -291, -418, -565?\n\"Answer: -y**3 + 2*y**2 - 104*y + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 4*g. Let w(c) = c**2 + 2*c - 2. Let l(p) = -p**2 - 3*p + 3. Let r(n) = -2*l(n) - 3*w(n). Determine r(y(i)).\nAnswer: -16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 12616389, 50465581, 113547569, 201862353, 315409933, 454190309, 618203481?\n\"Answer: 12616398*t**2 - 2*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1441 + -1533.9. Let p = h - -96. Which is greater: p or 2\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 - 2 + 4)*(2*p + 3 - 3) + (-3 - p + 3)*(-1 + 3 - 3))*(-p + 2*p - 3*p) + 13*p**2 + 26*p**2 - 16*p**2 + (5 - 4 - 2)*(-p**2 - p**2 + p**2).\nAnswer: 30*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*b = -20339 - 22807. Calculate the highest common factor of b and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5215 (base 10) to base 16\nAnswer: 145f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -347? (a) -6 (b) 4 (c) 5 (d) -4 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2.8, -2\/19, -4, 2, -100, 2\/3, -2.2?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 24669 to the power of 1\/2, to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -35*f**2 - 2383*f + 2202. Determine j(-69).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 18 = -3*o, 4*o = -2*f - 0*o + 10. Let a = -1 + f. Suppose 3*c + 5*y = 37, 0 = 5*c + 2*y + 2067 - 2097. Solve -8 = a*p - c*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-48)*(-1224)\/(-136)*12\/15.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2 + 120*i + 1600.\nAnswer: -4*(i - 40)*(i + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3357 - 3013. What are the prime factors of n?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46010?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20\/9? (a) 10\/17 (b) -2\/9 (c) 2 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2. Let g(l) be the second derivative of -613*l**3\/3 + 270*l. Give g(w(y)).\nAnswer: -1226*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 1 = 4*a, -3*q + 5*a + 41 = 0. Calculate the remainder when q is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2047077*c**4 + c**2 + 206016*c - 2?\nAnswer: -49129848*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.05 + 0.45. Put t, 5, 4\/5 in decreasing order.\nAnswer: 5, 4\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 747 and 5312?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) -6\/19 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -587 - 19*i + 587. Let p(k) = k**2. Determine p(x(n)).\nAnswer: 361*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183822694?\nAnswer: 2, 11, 2843, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b**(-6\/5)\/b)*b*b)\/(b**(-6)\/b)*(b*b**2)\/b**(2\/3))**(-39) assuming b is positive.\nAnswer: b**(-3029\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-3\/13)*n)**(37\/5)*n**(1\/8)*n**(8\/5)*n)**3 assuming n is positive.\nAnswer: n**(4935\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 774.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -597 - 479 = -4*a. Let y = a - 134. What is the remainder when y is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -5*m**2\/6 - 11388475*m\/6 - 5694235\/3 = 0.\nAnswer: -2277694, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, u: 3, y: 1, w: 1}. Give prob of sequence ukuk.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3403674 is divided by 13453?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lqq when three letters picked without replacement from kklkkqklkqkklklklkkk?\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.1 - -2.101. What is k rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 63*s - 60*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7\/6*f + 1\/3 + 5\/6*f**3 + 1\/6*f**4 + 3\/2*f**2.\nAnswer: (f + 1)**3*(f + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -99*t + 46. Is u(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of v**5\/12 - 265*v**4\/12 + 515*v**3\/2 + 1848*v**2. Factor c(z).\nAnswer: 5*(z - 103)*(z - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -2 + (-4 - (6 + -14))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202798.\nAnswer: 2, 101399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 744*m = 739*m + 106, 10*n - 246 = -3*m for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 2265\/1342 and 3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 5408\/10 + ((-42)\/(-35))\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -237 (base 10) to base 5\nAnswer: -1422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 5*p - 50 = 0. Suppose -22*z = -p*z + 2577. Is 30 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2391 - -1499. What are the prime factors of q?\nAnswer: 2, 5, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.247029 and -8570.\nAnswer: -8567.752971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**18*y\/y**(5\/11)*(y**(6\/7)\/y)**(-2\/19) assuming y is positive.\nAnswer: y**(27154\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 x, and 1 i when three letters picked without replacement from {g: 3, m: 1, w: 1, x: 2, i: 5, p: 1}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of 0 + 1\/2*n**3 - 1\/60*n**5 - 1\/6*n**4 + 7\/120*n**6 + 4*n**2 + 0*n. Is k(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00600482 rounded to 4 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 2*s**2 - 3*s + 2. Let y be f(-3). Let y*c**2 - 2*c**4 - 4\/9*c**3 + 0 + 4\/9*c = 0. Calculate c.\nAnswer: -1, -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23103, 46910, 70723, 94548, 118391, 142258, 166155, 190088?\nAnswer: 214063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 1055342441?\nAnswer: 1055342444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 + 3*m + 1. Let j be t(-2). Let x(r) = 3 - j + 2*r - 5*r. Let q(w) = w**2. Calculate q(x(y)).\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 3) to base 6\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 133241 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 33\/5 of a microgram?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 269*x - 1603. What is p(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -28*l + 66. Find w such that 3\/5*w**l + 0 - 6\/5*w**2 + 3\/5*w = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 6*p**2 - 99*p - 3. What is the least common multiple of k(-9) and 430?\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 15 = -2*j. Suppose -j*q - 20 = 0, -2*g - 2*g - 5*q = -192. Is g a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 + 39*z - 24. Calculate j(31).\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 33 + (-8)\/(-12)*-3. Suppose -8*l + 83 = 283. Let b = l + j. Solve 12 = -3*m + 6*m, -3*a + 3*m = b for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -229 + -186. Let i = 799 - r. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -126*p**2 - 454*p + 761051?\nAnswer: -252*p - 454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4 - -5) + -4 - -3) + -20 + 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -139049.2199 rounded to the nearest one thousand?\nAnswer: -139000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29308*z - 29260*z = -912 for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*w - 66*w + 876 = 173*w. Solve -w = -5*v - 3*f, 4*v - 176*f + 24 = -174*f for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.4 + -0.6. Let t be ((-1)\/(-4))\/((-4)\/268). Let q = t + 17. Which is the closest to q? (a) j (b) 5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 15) in base 10?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40 is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06015ml in litres?\nAnswer: 0.00006015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -120 - -8014380?\nAnswer: 8014260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -29\/4, 3, -5, 35454, -3?\nAnswer: -29\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28463 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -8*w**2. Let h be 2\/2 - (1452\/(-99))\/(-22). Let c(p) be the first derivative of 0*p + 0*p**2 - 16 - h*p**3. Give c(t(f)).\nAnswer: -64*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, 0, 4, 0.2, -5, -96.\nAnswer: -96, -5, 0, 0.02, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/(-30) + (-13)\/(-5) - -1. Suppose -10*f + d*f - 12 = 0. Sort 1, f, -39.\nAnswer: -39, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x + 8. Let u be o(3). Suppose -u*c + 0*c = -240. Is 16 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**3 + 34308555*d**2 - 34308552*d.\nAnswer: -3*d*(d - 11436184)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 7*j - 99. Calculate n(15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 21655 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 7 = 4*s + 2*b, -6 = -s - 3*b. Let j be (50\/6)\/(s\/(-207)). Suppose 5*t - j = -0*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 23*r**2 - 128*r + 153. Give l(10).\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2241\/157 smaller than 1.52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 47268679691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1201 is divided by 67.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8379 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: Put 4, 157, -4, 2 in descending order.\nAnswer: 157, 4, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k - 3*k + 3*k)*(-3603 + 2812 - 1017).\nAnswer: -9040*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-5 + 1 + sqrt(684) - (-2*-2*sqrt(684) + sqrt(684) - sqrt(684))))**2.\nAnswer: 5184*sqrt(19) + 222192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n**3 - 27*n + 8*n + 19*n.\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f**2 + 61*f. Let w(d) = -2*d. Determine g(w(n)).\nAnswer: 8*n**2 - 122*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3995 + 4163. What is the remainder when 838 is divided by n?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(17) - (4 + sqrt(17))) + -2)*1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -u, -2*w - 3*u - 5 + 4 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 5*g**2 + 1 - 6*g**2 + 3*g - g**2 + 3*g**3 - 4*g. Calculate n(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 525\/(-490)*5\/((-50)\/8).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 12) in base 2?\nAnswer: 11010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 4 + 2. Suppose q*x + 11 = 4*x. What is the greatest common divisor of x and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 x when two letters picked without replacement from xwoccxrxoxc?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 266 (base 14) to base 3\nAnswer: 122212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 2:11 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05553 in 2\/5, -1, -5, -6, -3\/2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 + 6. Let j(a) = -31 + 9*a**3 + o + a + 2*a**2. Determine j(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240011097191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((80\/(-15))\/(-4))\/10?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13 - -15?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 427\/720 - -1\/144. What is the closest to 0.1 in w, 0.1, -0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 761 = -y - 22*r + 23*r, 4*y + 3062 = -5*r. Let u = 758 + y. Put 7, u, 2 in increasing order.\nAnswer: u, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, -2, 0.2, 7\/10, 10, -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 3*o**3 + o**2 + o + 2. Calculate y(-2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 10. Let v = m - -8. Let u = -33 - -36. Which is the second biggest value? (a) -3\/4 (b) u (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -6. Let k(f) = -9*f - 5. Let q(o) = -o. Let j(g) = -k(g) + 6*q(g). Is j(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**5\/4 + 3*p**4 - 3*p**3 = 0. What is p?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 384\/21 - (-116)\/(-406).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 + 20 - (2 + 4)) + -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 4*p = -3*p. Suppose -1\/5*a**4 + p*a**2 + 2\/5*a**3 - 2\/5*a + 1\/5 = 0. What is a?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 3*b - 12. Suppose 0 = s - b*s + 44. List the prime factors of s.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 15 = -5*v, 3*v + 2 - 28 = 4*c. Let o(k) = -2*k**2 + 3. Let q(p) = -p**2 + p + 3. Let j(n) = v*o(n) - 3*q(n). Calculate j(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -15. Let u be (2\/3)\/((-3)\/9). Is (-14)\/u - (3 + j) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 723 = 3*v, -1314 - 99 = -4*o + 5*v. What is the least common multiple of 9 and o?\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 1:13 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 369, 398, 427, 456?\n\"Answer: 29*u + 340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -21840*v + 3647282. What is n(167)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3*g**2 + 5*g + 2. Calculate the remainder when 41 is divided by u(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of 35 - 4*d - 1\/3*d**3 + 5\/2*d**2. Give v(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 41*i**2 - 106*i - 699. Is 76 a factor of n(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1111 + -10001202?\nAnswer: -10000021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271675 is divided by 160?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2 + 718086*k + 42970625283.\nAnswer: 3*(k + 119681)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 656\/(-820)*(-2)\/(12\/5)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 17, m: 3}. Give prob of sequence uuu.\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/561 and 41\/51.\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 2:55 AM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 3:37 PM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 11) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3425 is divided by 1490.\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 12:16 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.868879t to nanograms.\nAnswer: 7868879000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 a factor of 23106796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cfccmfczzcmcccfck. What is prob of picking 1 m and 1 f?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u + 10 = 2*u. Let r be 46\/10 + -9*14\/(-315). Put r, u, 0 in descending order.\nAnswer: r, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + 6. Suppose l = -4*t - 4*n, 0 = 5*t - 0*t + 3*n + 10. Let y(u) = 32*u**2. Does 8 divide y(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 4*a + 1051 = -1107 + 2034, 11*k - a - 81 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7142 or -7078?\nAnswer: -7078","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 2:12 PM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 30 = 4*k, 3*k + 40 = -3*j - 2*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -3*v**2 + 2*v. Let y(g) = 28*g + 12. Let q(z) = 19*z + 8. Let d(k) = -3*q(k) + 2*y(k). Calculate -3*d(b) + s(b).\nAnswer: -3*b**2 + 5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -1070 + 1078. Put f, 1, -11, 191, 3 in descending order.\nAnswer: 191, 3, 1, f, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + 9. Suppose -2*h + 16 = c. Suppose -2931 = -h*k - 3*k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 + 1 + -9)*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 to the power of 1\/2, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20384 by 182.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/204841 and 85\/8.\nAnswer: 1638728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62677.49 hours to seconds.\nAnswer: 225638964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/2835473 or 0?\nAnswer: 2\/2835473","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12825379 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32905 by 258.\nAnswer: -32905\/258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 62250 divided by -17703?\nAnswer: -20750\/5901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -3*j - 3, -12 = 5*d + 4*j. Let y be 18 + (-8 + d)\/4. Solve 2*m - y = -2*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 a when three letters picked without replacement from {q: 1, b: 2, y: 1, u: 2, a: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 9*d**2 + 88370 - 88370. Let j(v) = -20*v**2. Determine j(i(o)).\nAnswer: -1620*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j**3 - 4*j**2 - 3*j - 1. Let a be n(-2). Suppose a*c = -6*c + 5390. Suppose c = 8*t - t. Is t a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26784 divided by -124\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 + 2*b**2 + 0*b**2)*(-b + b + b) + (6*b**3 + 4*b**3 - 4*b**3)*(114 + 106 - 127).\nAnswer: 560*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5085 = 39*o - 35*o - d, -3*d = -3*o + 3825. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/6)\/(((-3)\/(-18))\/1). Suppose h*v + 22 = 70. What is the highest common factor of v and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2295455 is divided by 233.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**2 - 15 + 9 + 6.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3034 = 46*h + w, -476*h + 481*h + 3*w = -324 for h.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 91843606 divided by -45921803?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, -24, -183, -520, -1095, -1968?\nAnswer: -3199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -g - g + 401, -9 = 3*y. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w**2 + 2 + 4*w**3 + w**3 - w**3 + (1 - 1 + 2*w**2)*(-2*w + 2*w + 2*w).\nAnswer: 8*w**3 + 3*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hooohhhohoohhhooho. What is prob of sequence hhoo?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*l + 5962*l**3 - 5944*l**3 - 56*l.\nAnswer: 18*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 14995*p + 6 - 12485*p to the form s + d*p and give d.\nAnswer: -27480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0\/(-2))\/((-10)\/(-10)). Suppose t = -4*g - 2*s + 220, -2*g = 3*s - 7*s - 110. Calculate the remainder when g is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = c + 4*c, 0 = -2*i - c - 3. What is the common denominator of 9\/10 and ((-18)\/i)\/(-2) - 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -3*a - 43. Calculate the remainder when 26 is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0252 + -0.1748. Put m, -4, 90 in descending order.\nAnswer: 90, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -50 + 94. Suppose 7*s + c = 29*s. Solve j = 1 + s for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 11\/((-66)\/(-18)) + 3*1. Factor -30*p + 39*p**2 + 6*p**3 + 12*p**3 + w*p**3 - 3*p**4 - 30*p**3.\nAnswer: -3*p*(p - 2)*(p - 1)*(p + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.096 - -0.004. Let f = 4.5 - d. What is the third smallest value in -2\/5, -1\/5, -0.3, f?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*(-4)\/30 + 13\/(-5). Let c(v) = -4*v - 4 - 2*v - 9*v. List the prime factors of c(w).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n - 5*n**4 + 135*n**4 - 125*n**4 - 3 - 122*n**4 - n**3 - 2*n**2 - 119*n**4 in the form o*n**3 + i*n + u*n**2 + l*n**4 + k and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 divided by 2?\nAnswer: 39\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (-154)\/(-35))*10\/(-12).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 5*z - 30 = 0. Let j(k) = 2*k + 5. Let s be j(z). Solve -4*a + 2*f + 14 = -0*a, 2*f = 5*a - s for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-1281)\/(-240) - 33\/220*4\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 126884a5 - 1?\nAnswer: 126884a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -41842921 divided by -4?\nAnswer: 41842921\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 48*z - 270. Let s be t(-11). Let a = 13571\/17 + s. Suppose -2*w - 1 - 1 = 0. Is a less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3278, -6705, -10254, -13925, -17718?\n\"Answer: -61*h**2 - 3244*h + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 728420.\nAnswer: 2, 5, 7, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 477 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 41563789 and -1.65035.\nAnswer: 41563787.34965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 n when two letters picked without replacement from {n: 1, l: 1, w: 2, u: 2, c: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 288 = 2*b. Is 529\/9 + 16\/b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 1 - 11 = -2*h, -h - z + 5 = 0. Suppose 0 = 2*r - 2*o - 2, 3*r - h*r + 5*o = -2. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3*d = -4, -2*g - 7 = -2*d + 9. Calculate the remainder when (((-10)\/(-3))\/g)\/(2\/(-51)) is divided by 5\/((-6)\/(-4) + -1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*h = -26*h + 12. Solve -h*r = 3*b - 21, -2*r + 6 = b - 3*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + 19. Let v = g - 22.2. Let j = 0.5 - v. Which is the biggest value? (a) j (b) 0.2 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25 - -18) + 1080\/152.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 4*l - 33, 3*a - 77 + 32 = -4*l. Is l smaller than -158?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 - 10. Let n be t\/(-15) + (-34)\/(-10). Suppose 0 = n*r + r - 44. Is 11 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-32)\/36*4\/16. Let i = 0.14 + 0.06. Which is the closest to i? (a) m (b) -0.3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7302?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/(-30) + 2\/(-5). Suppose l = g - 0*g - 59. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 700 and 4300.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-59)\/236 - (-112414)\/8)\/(1\/2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, s: 8}. Give prob of picking 2 z.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34 - -37. Suppose 4*j = z*f - 2271, -4*f - 2*j + 3000 = 2*j. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 3*m = 138 + 26, 0 = 4*m + 12. Suppose -9 - 31 = -5*p. What is the remainder when c is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 135*j + 2*j**2 - 1 + 5*j**3 - 123*j as a + f*j + t*j**3 + c*j**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 6*x + 260 - 474 + 259. What is c(-9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -53028, -53019, -53010, -53001, -52992, -52983?\n\"Answer: 9*q - 53037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6)\/(-1))\/((-6)\/(-3)))\/1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 9*b + 20. Suppose 0 = w + 4. Let k = w + 9. List the prime factors of g(k).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4966*t*w - 3449*t + 1 wrt w?\nAnswer: 4966*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 15 + 6 - (-4 - -16)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from sskksk.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**(-12)\/v*v**(-1\/3)\/v)\/(v**(-3\/10)*v*v**(-1\/12)) assuming v is positive.\nAnswer: v**(-259\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - 6*s**2 + 9*s. Let c = -21 + 25. Let i be d(c). Solve 0 = -j + 2*r + i, -2*j = j + r + 16 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, q: 2, g: 1, t: 1}. Give prob of picking 1 t, 2 q, and 1 m.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4924?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3*t**3 - 21*t**2 + 16*t + 6. What is the thousands digit of f(-13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 172072648 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3\/8 of a week?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v - 41. Let u(m) = m - 42. Calculate -6*b(a) + 5*u(a).\nAnswer: -a + 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 - q - 2. Let w be s(0). Let a = 11 + -8. Let b(t) = -4*t - 3 - 3*t + a*t. What is b(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2481.\nAnswer: 3, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 781 and 110.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of -y**4\/6 - 7*y**3\/3 + 160*y**2 - 193*y. Find the first derivative of k(b) wrt b.\nAnswer: -4*b - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 644 = 2*z, 2*z = 5*s - 2*z - 1072. Let l(t) = -t + 30. Let x be l(6). Calculate the greatest common divisor of s and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, p: 1, b: 5, m: 8}. Give prob of picking 2 m, 1 p, and 1 y.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/((n**(6\/13)*n)\/n)*n))**(14\/5)*(n\/n**(-1\/3)*n*n)**(1\/11) assuming n is positive.\nAnswer: n**(-2584\/2145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2876292521?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 33390.\nAnswer: 33390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1440, 5852, 13220, 23544?\nAnswer: 36824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2828.987 + 2847. Let x = 18 - d. Let u = 3.013 + x. What is the nearest to 1 in 2\/13, u, -0.1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74338366871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.11 (b) -0.07 (c) 0 (d) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (263 - 19 + 130 - 2134 - 1354)*(-7*s - 1 + 1)*(4*s + s - 7*s).\nAnswer: -43596*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*l + 320 = 123*l. What is the greatest common divisor of l and 56?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m + 2. Let k be d(2). Suppose k = -5*q + 3 + 2. Calculate the least common multiple of 4 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 1 - 1)*(-29*d + d - d) + 2 - 6 + 1 - d.\nAnswer: -233*d - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -4*(-419)\/10 + (-18)\/30 is divided by (0 - -1) + (-660)\/(-55)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -14*m + 80. Determine k(25).\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 685\/11, -31, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 312*l + 121. What is the thousands digit of b(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.5 + 4. Sort y, -5, -8.\nAnswer: -8, -5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55) + (sqrt(385)*-2)\/sqrt(7))\/sqrt(5))**2 - (-6*sqrt(33)\/sqrt(3) - (1*sqrt(88))\/sqrt(8)).\nAnswer: 11 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n + 21. Let c be h(-15). Suppose 0 = i - c - 16. List the prime factors of i.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 153 - 151. Which is the third smallest value? (a) j (b) 4\/109 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 4*f - 167. Let m be c(40). Suppose 3*v - 4 = 8. Sort v, 5, m.\nAnswer: m, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/15088673 and 155\/90532038.\nAnswer: 90532038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6750634*b**6 + 1453*b**2 - 12*b - 16 wrt b?\nAnswer: -810076080*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m, 1 r, and 1 t when four letters picked without replacement from rmrtrtrrtmtrmrrr.\nAnswer: 27\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -11.15 * 4\nAnswer: -44.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 1)*-2*2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 221976 divided by -24664?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1396710?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22.05 + -0.05. Let g = -22.17 + f. Let n = 0.1693 + g. Round n to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -346185571 - 91678.\nAnswer: -346277249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of 0 + 1\/2*k**3 + 0*k**2 - k. Let b(m) = 2*m + 4 - 4. Determine p(b(h)).\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*z - 15*z - 756 = 0 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -7*x**5\/10 + 20*x**4\/3 - 23*x**3\/3 - 10*x**2 - x - 36. Factor u(p).\nAnswer: -2*(p - 5)*(p - 1)*(7*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 7 + 2 = 0, -2*g + 4*j = 16372. What are the prime factors of 14\/(-91) - g\/13?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 23*b**2 + 41*b + 47. Let o = -172 - -147. What is the hundreds digit of s(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 304 and 6527336?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/2 + (-3)\/(-6). Let f = t - 3. Let q be (0\/f)\/((-1)\/(-1)). Solve 8 = 7*n - 3*n, -3*g + 3*n - 9 = q for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-339255)\/54)\/(-359)*(-36)\/10*1.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-5320)\/38)\/(1\/(-4)). Suppose d = 22*v + 6*v. Solve -11*a = -7*a - v for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-1 + (-867)\/(-882)). Let s = q - 59. Let w be (-1)\/6 - 15\/18. Which is the nearest to 0? (a) s (b) 2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70763 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -887 - -895. What is the highest common divisor of f and 104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (12 + -3 - 4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002347143 rounded to 5 dps?\nAnswer: -0.00235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/5 - (-243)\/5. Suppose 0*b = 5*b - 30. Calculate the highest common factor of p and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**3\/7 - 10610*z**2\/7 + 10604*z\/7 + 21216\/7 = 0 for z.\nAnswer: -1, 2, 5304","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*k + 0*k - k)*(0 - 3 + 1) + 4 - 6 + 2*k + 133 + 12*k - 9*k + 21*k as u*k + j and give j.\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*260.9863\nAnswer: 130.49315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (13 - (10 + -10) - 6) + 1 + -1\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -5*a. Let d(k) = -5*k. Let g(l) = l**3 - 6*l**2 - 7*l + 3. Let z be g(7). Let q(u) = z*d(u) - 2*s(u). What is q(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 34\/5 of a centimeter?\nAnswer: 68000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 97\/((-6 + -2)\/2 + 3). Let r = h - -102. Suppose 0 = -2*g - 5*i + 50, -5*i - 87 = -r*g - 8*i. What is the remainder when 53 is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -213812*l**6 + 2*l**2 + 769 wrt l.\nAnswer: -25657440*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in 2, 26\/3, -4\/3, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1482, 5898, 13264, 23586, 36870, 53122, 72348?\n\"Answer: x**3 + 1469*x**2 + 2*x + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5\/(-4))\/(3\/(-24)). Let k be q\/3 - (2 + 1). Is -0.2 at least k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -38*p - 4141. Let o be a(-109). Solve 3*i - o + 6 = 2*j, -3*j + 5 = -4*i for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/(-4)*(26 - 15334\/595)?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 399228917?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 262707, 525398, 788081, 1050756, 1313423?\nAnswer: 1576082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 5*r + 9. Let s(d) = 10*d + 18. Let l = 5 + 0. Let p(h) = l*b(h) - 2*s(h). Is p(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((3*(-1 + sqrt(176)) - sqrt(176))**2 + -5 - (-1 + (sqrt(176)*-1)**2 + sqrt(176) + (sqrt(176) + -1)**2 + 5))*1.\nAnswer: -220*sqrt(11) + 1755","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 12:53 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vaf when three letters picked without replacement from abfgvrb?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 5 (b) 17 (c) -0.11767\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 3*d**2 - d - 3. Let y be c(-4). Let m = y + 22. What is the derivative of 17 - 8 - x**4 - 4 - m*x**4 wrt x?\nAnswer: -32*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 578.372626 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 13*d - 240 = 7*d. Calculate the remainder when 503 is divided by d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 5*b = -12428 + 787, 2*b = -k + 5807. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**5 - 9327*r**4 + 399249*r**3 - 343301*r**2 - 1921662*r - 1169784 = 0. Calculate r.\nAnswer: -1, 3, 42, 9284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1*sqrt(98) + sqrt(98) + sqrt(98) + (sqrt(98) - (4*-1*sqrt(98) - sqrt(98) - sqrt(98))))**2 + (1*sqrt(784) + sqrt(16))\/((sqrt(80)\/sqrt(2))\/sqrt(5)).\nAnswer: 148*sqrt(2) + 9801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**1)**(-38))**(-3\/8)*(j**(1\/3)*j)**(12\/11)*j**(1\/6)*j**(-1\/3) assuming j is positive.\nAnswer: j**(85\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -148022, -148023, -148024, -148025, -148026?\n\"Answer: -o - 148021","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -41*d**3 - 50*d**2 + 2. Let v(c) = -534*c**3 - 651*c**2 + 27. Let n(x) = 27*a(x) - 2*v(x). What is the third derivative of n(q) wrt q?\nAnswer: -234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + k, 4*b - 4*k = 5*b + 10. Let q be ((-30)\/75)\/((-1)\/10). Put 2, q, b in decreasing order.\nAnswer: q, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -24 - -1650?\nAnswer: 1623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 145 + 100. Let t = k + -3183\/13. Let w = 5.1 + -3.1. Which is the smallest value? (a) t (b) 5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.5, -2\/3, 1.7, 5, -1\/8, -7 in decreasing order.\nAnswer: 5, 1.7, -1\/8, -2\/3, -1.5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/5)\/2*-20?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*q**2 + 4*q - q - 3*q + 2 to the form n + a*q + r*q**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 395492834 to the nearest integer?\nAnswer: 734","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5431 + 5431.5. Which is the closest to 3? (a) -2\/11 (b) -7 (c) v (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 889058\nAnswer: 889057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 206*s + 2227. Calculate z(-11).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 28 + 1. Suppose 0 - l = -3*g. Suppose -g*i - 4 = -10. Solve 2*m - i = -0*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14143252.\nAnswer: 2, 17, 23, 9043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a centimeter in millimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 13) to base 11\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 + 1. Suppose -468 = -28*w - 11*w. Suppose -w*d - 7*d - 19 = 0. Let m(h) = 2*h**3 - 6*h**2 + h + 5. What is d*m(q) + 6*g(q)?\nAnswer: -2*q**3 - q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 263 and 23.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -270 - -2297. Is 11 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 2 + 2*m - 3 - m + 3.\nAnswer: m - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 0*p = -n - 2, 5*n = -p + 54. Let z(s) = -s**2 + 12*s + 13. Give z(n).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -9*f + 12*f + 5 + 10*f - 5. Let h(a) = a**2 + 5*a - 7. Let k be h(-6). Determine z(k).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -88 - -63 - (-203)\/14?\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 306 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 16) to base 15\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 6*c**2 + 7*c + 1. Let y be u(5). Let p = 206 - 195. Let r = y - p. Solve 3 = -r*s + s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w - 4*d - 24, -796*w = -791*w - 3*d - 32 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 270?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 + 7*i - 2. Calculate n(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 7*n**2 - 5*n - 7. Let a(s) = s - 1. Let j(r) = -a(r) + t(r). Let k be j(5). Solve -5*d = -k - 1 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19961247?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.31407 times -3.18?\nAnswer: -4.1787426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + (sqrt(190)\/(sqrt(40)\/sqrt(4)))**2 + 4.\nAnswer: sqrt(19) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1260 and 75?\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17.1 + 17. Which is the closest to 1? (a) 0 (b) p (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -3*u**3 + 159*u**2 - 17*u + 392. Calculate x(53).\nAnswer: -509","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 3.9.\nAnswer: 1.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, -292, 5, -1\/9, -467\/14?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of -r**4 + 125*r**3\/6 + 3318*r**2. Determine g(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 p when two letters picked without replacement from pdvdepd.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 34620 and 38082.\nAnswer: 380820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 231480 + -135791. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - 3\/6*-10. Suppose a - 3 - 13 = -3*c, 0 = 4*c + p*a - 14. Solve -j = -4*t + c, -j = 2*j + 2*t - 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -8. Suppose p = 4*p - 5*s + 53, m*p + 3*s + 21 = 0. List the prime factors of (p*1)\/(-1)*1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 107, 184, 271, 362, 451, 532, 599?\n\"Answer: -u**3 + 11*u**2 + 51*u + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-9))\/(((-2752)\/1677)\/(-64))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.05 - 0.35. Let o = -10 - -12. Which is the closest to 2? (a) -5 (b) o (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3*i + 1. Suppose v + 4*l + 7 = 0, -5*l + 4 = 5*v + 9. Let d be c(v). Solve 5*u = -d*g - 3, 3*g - 24 = 4*u + u for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 + 9*n - 14. Let x be h(3). Suppose -5*z = m - 5369 - 3067, x*m = -z + 33839. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12897740 is divided by 501.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -14169*l + 609248. Calculate s(43).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 506942 (base 13) to base 14\nAnswer: 369d0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6697, 6692, 6685, 6676, 6665?\n\"Answer: -t**2 - 2*t + 6700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 1 + -3 + (73 - 89).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -u - f + 6, -2*u = 5*f. Solve 4*n = -u*t + 7*t + 16, t - 5*n = -14 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -416 - 417 - 421 - 419 + 2712*v + 1671 as n + x*v and give x.\nAnswer: 2712","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of u**7\/189 + 2*u**6\/135 - 8*u**5\/15 - 152*u - 2. Factor s(y).\nAnswer: 2*y**3*(y - 6)*(y + 8)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + -615?\nAnswer: -611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -3*r**2 - 413349*r + 413352 = 0?\nAnswer: -137784, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000013118 rounded to 7 dps?\nAnswer: 0.0000131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14\/21 + (23\/(-3) - (20 + -27)). Solve 6 = 5*r - m, -r - 4*m + 29 - 11 = j for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + 7. Let g(w) = -1. Let a(m) = -6*g(m) - r(m). Let z be a(-2). Let c be 12*(0 + 1\/z). Let t(x) = x**3 - 5*x**2 + 4*x + 5. Calculate t(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k**4*l + 3506153*k**3*l - 137121172*k**2*l + k**2 wrt k.\nAnswer: 24*k*l + 21036918*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -581962*m + 582102*m + 3780 = 0 for m.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 264033 and 27?\nAnswer: 264033","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vnwwwnwnweyw. Give prob of sequence eyv.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 9234, 14024, 18814, 23604, 28394?\n\"Answer: 4790*b + 4444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 9.0744\nAnswer: 9.0744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 a factor of 123507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13452137 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -2, -207, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**2 - 12*h + 593. Let u(q) = 4*q**2 - 26*q + 1185. What is -13*s(v) + 6*u(v)?\nAnswer: -2*v**2 - 599","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l - 6 = 11*l - 5*c, 10 = -5*l - 5*c for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 324 - 7453\/23. Let w = 41\/115 - q. Let o = 258624.9 - 258625. Put w, o, -2\/15 in increasing order.\nAnswer: -2\/15, o, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 380030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/4 + ((-7)\/(-70) - 3).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one fifth of a centimeter?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - 7*j**2 - 8*j - 5. Let s be w(-4). Let u be 0 + -1*41\/2. Let z = s - u. Which is the second biggest value? (a) 2 (b) 0.2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l*l**(6\/5))\/l)\/(l*l**(4\/3)))**(1\/2)\/((l*l*l*l**(2\/7))**8*l**(-1\/7)*l*l**(3\/2)) assuming l is positive.\nAnswer: l**(-6029\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*l - 23*l + 28 = 0. Suppose 0 = -l*d + 4*d. Suppose d = 4*j - 5*j + 83. What are the prime factors of j?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -221020202343 + -14?\nAnswer: -221020202412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 510278 greater than -62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 2 (b) -0.8 (c) 0.2 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 12:45 PM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/95 in 12, 1\/2, -3\/7, 1.9, -5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-4\/3)*b*b**3)\/(b*b*b**(-15)*b*b*b*b\/(b**(5\/2)*b)) assuming b is positive.\nAnswer: b**(113\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1174594 is divided by 839.\nAnswer: 833","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 30593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 27*a**2 - 1. Let f(i) be the second derivative of 1\/4*i**4 - 32*i + 0 + 1\/20*i**5 + 5\/2*i**2 + 5\/6*i**3. Let l be f(-2). Give b(l).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15746, -15690, -15602, -15482?\nAnswer: -15330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhhc when four letters picked without replacement from {c: 7, h: 5}?\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 0*n + n)*(1 + 2 - 5)*(6 + 209 + 1636)*(0 + 0 + 2)*(0 + 0 + 1)*(-4 + 2 + 4).\nAnswer: 14808*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*g**4 + 15*g**4 - 15*g**4)*(-2*g - g + 2*g).\nAnswer: -12*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 177 = 108. Let b = i - 155. Let q = b + 247. Is q a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44151481 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 1:29 PM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 1 + 671*j - 2*j**2 - 334*j - 3*j**3 - 336*j. Let b be h(-1). What is the highest common divisor of b and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -385*q + 21. Let b(w) = -1923*w + 105. Let p(k) = 2*b(k) - 11*m(k). Let r be p(-11). What is r rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 1346*r. Let j(z) be the first derivative of -2*z**3\/3 - 9141. Calculate j(v(b)).\nAnswer: -3623432*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d - 4*d = n + 11, 2*n - 4 = -3*d for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 3*k + 1. What is the greatest common divisor of k and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 8 = 2*k, o - 4*k + 9 = 2*o. Let l be (-88)\/(-33) + (-2 - o). What is the nearest to 2 in -2\/21, 0, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -3*t - 14, -2*t + j = -j + 16. Let f = 3\/4 - 23\/20. Sort t, -0.08, f in descending order.\nAnswer: -0.08, f, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*o + 5*j = -56, 46291*o + 11 = 46286*o + j for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 13, -6, -4.\nAnswer: -6, -4, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -4*x - 4 - 19, 5*x + 70 = -2*f. Is x equal to -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -220*h**2 - 1822*h + 2. Determine p(-2).\nAnswer: 2766","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -13*a - 3. Let y(v) = -v - v - 2*v - 1. Let m be (-2)\/(-3)*(-2 - (-4 + -1)). Calculate m*k(s) - 7*y(s).\nAnswer: 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -9. Let p(f) = -7*f - 134. Let h be p(-22). Solve 5*c - h = 4*m, m + 4*c = 3*m + k for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -831 and -1?\nAnswer: 830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -111134*a - 404165?\nAnswer: -111134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 6*i**2 + 2)*(6 - 20*i - 6) + (4*i**2 - 6*i**2 - i**2)*(i + 3*i - 5*i) to the form x*i + t*i**2 + l*i**3 + a and give l.\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1435 = 10*s - 305. What is the highest common divisor of 42 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: -12 + -2 + 670\/50\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 134163?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146*r**3 - 68*r**3 - 75*r**3.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1257?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3553378?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -27 + 11. Let w be (k + -5)*(3 - 4). Is (-48)\/16 - w*-109 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12172321 to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -80.\nAnswer: -80, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4835513 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2a2 + -136?\nAnswer: 16a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - 16039?\nAnswer: -16039.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -535159548 divided by -1280286?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*u**4 - 4 + u + 3*u**2 + 13*u**4 + 6 - 2*u**2 to g*u + o*u**4 + a + m*u**3 + k*u**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -9367192 minus -2.2226861?\nAnswer: -9367189.7773139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -3, 14140, -0.4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3*l + 65. Let j be n(21). Solve 0 = t + 7 - j for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111607 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: Solve -m - o = -5, 3*m + 2*o - 3 = 3*o for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.07 or -2.53?\nAnswer: -2.53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 62714.75t in grams?\nAnswer: 62714750000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -181*g**3 - 8*g**2 - 11*g + 13. Is y(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 439880658 a multiple of 138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61 = 5*p - 91 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -9*d - 3. Let s = 9 - 7. Suppose 4 = -w + s. Let t be i(w). Solve -2*q - 3*q - t = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14977935 divided by 595\nAnswer: 25173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -116*d + 119*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61*p + 640*p + 22 - 22 + (1 - 2 + 0)*(2*p + 8*p - 4*p) to the form f*p + c and give f.\nAnswer: 573","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.11? (a) 7\/3 (b) -0.3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40797779, 81595559, 122393339, 163191119, 203988899?\nAnswer: 244786679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*a**2 - a**2 - 3*a**2 + (2*a**2 - 5*a**2 + 2*a**2)*(-1 - 4 + 4) + 17*a**2 + 7*a**2 - 17*a**2.\nAnswer: 11*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39.871 + -40.071. What is the closest to -2 in k, -4, 5\/111?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12162 + -60814\/5. What is the nearest to 1 in -5\/3, -3, x, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-55245)\/(-10) + 24)\/(6\/8)?\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 171 = 2*v, -3*v + 9 = -0*v. Suppose q + 2 = -0. Let j = 6 + q. Solve 3*m - j*n - k = -10, 0 = 5*m - n - 10 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5236488, -20945970, -47128440, -83783898, -130912344, -188513778?\n\"Answer: -5236494*g**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 30, 361647, -1\/6, 2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-57 + 20 - 22)*(-2*m + 2*m - 2*m) + 3*m - 2*m + m.\nAnswer: 120*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**2 + 0*p**2 - 10*p**2 + p**2 - p**2 - p**2 + (-26 + 26 - p)*(-2*p + 5*p - p).\nAnswer: -10*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 763727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(180) + -4 + sqrt(180) + 1)**2 - (sqrt(180) + -1)*1).\nAnswer: -78*sqrt(5) + 727","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 717*t + 0 - 1 + 311*t - 2425*t + 681*t + (4 - 2 - 1)*(-3 + 3 - t) to r + i*t and give i.\nAnswer: -717","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6054 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*s**3 - 25*s**2 + 25*s**2 + 0 + 0 - s**3 + (-5*s + 5*s - 4*s)*(21*s**2 + 17*s**2 - 25*s**2).\nAnswer: -72*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -2*p - 2*f, 0*p + 2*f + 5 = -p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7878 and 185854746?\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1552586498 to the nearest integer?\nAnswer: 39403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -218707*o**5 + 172361*o**2 wrt o.\nAnswer: -13122420*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3*b = -4*i + 28, b = 5*i - 5. Let s be i\/(-7) - (-52)\/(-14). What is the biggest value in -0.5, s, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 10:13 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*b + 8. Let w(g) = -g**3 - 5*g**2 + 8*g + 7. Let k be w(-6). Sort 0, k, b.\nAnswer: k, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 177*w - 349*w + 2 + 174*w + (2 + 0 - 1)*(-3 + 3 - w).\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5176347, -10352689, -15529031, -20705373?\nAnswer: -25881715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00341 to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(7) + 4)**2 + 2)*3.\nAnswer: 24*sqrt(7) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 1 - 6*v - v**2 + 2 + 6. Let q be i(-7). Suppose -q*h - 4 = -20. Is 4 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -45770, -32127, -18484?\n\"Answer: 13643*x - 59413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2365, 6, -3 in decreasing order.\nAnswer: 6, -3, -2365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 673\/11 - 61. What is the smallest value in 0.1, h, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1031860099 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 522 + -313. Let l(u) = u**2 + 3*u + 4. Let f be l(-3). Suppose -a - 7*h + 14 = -2*h, -4*a - f*h = -72. Calculate the highest common divisor of t and a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.31 + -0.21. Which is the second smallest value? (a) 0.3 (b) x (c) 2\/33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168761 is divided by 884?\nAnswer: 801","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 6722991*t. Let a(v) = v. Calculate a(f(y)).\nAnswer: 6722991*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16668 is divided by 1040?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4 - 7 + 139*s + 126*s + s**2 + 2061*s**4 + 10 wrt s?\nAnswer: 49464*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (8 - -3 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11522 divided by -1063\nAnswer: 11522\/1063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 199\/(11741\/4956)*2\/(-4)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -272 + 2173\/8. Let i = 0.06 - 0.16. Which is the nearest to 0? (a) n (b) -2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01098185 to four decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gh when two letters picked without replacement from {g: 8, h: 2}?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 138147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 66739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5542.564 millilitres?\nAnswer: 5.542564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4856 - 4856 + 331*t)*(-1 - 1 + 0)*(1 + 3 + 1)*(1 + 5 - 4)*(-1 + 1 + 1).\nAnswer: -6620*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 28740*(12 - 21\/3). Round s to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 13806 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**3 - 4*p**2 + 124*p - 19. Give y(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 28\/5*x**3 + 0 + 8*x - 68\/5*x**2 = 0.\nAnswer: 0, 1, 10\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 4*g = -19, 0 = 5*k - 5*g - 15 - 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n + 6*n + 45930 = 0. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 12*w - 10. Let g be f(-13). Suppose -3*q = 2*o - 13, 2*o + 5*q = -0*q + g. Suppose 6 = 5*h - o. Solve 28 = -h*t + 8 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25*q**6 + 2*q**4 + 265*q**2 wrt q.\nAnswer: 3000*q**3 + 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -u**4\/4 - 2*u**3\/3 + u**2 - u - 4072. Suppose -5*v = -2*h - 16, 2*h + 5*v - 2 = v. Calculate w(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 406308587 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llfobxl. Give prob of picking 1 o, 1 l, and 1 x.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-8\/3)*c\/(c\/(c\/(c*c**(1\/7)))*c*c))**(-5)\/((c*c**1*c)**(-30)\/((c**(-1\/3)\/c)\/c*c**2)) assuming c is positive.\nAnswer: c**(796\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 41244360 and 164.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0255 - 0.025297. What is x rounded to 5 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/5 of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, 156, -4, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(189) - (-1*sqrt(189) - sqrt(189))*-5)*-5)\/((sqrt(9) - -4*sqrt(36)\/sqrt(4))\/(2*sqrt(6)\/sqrt(2))).\nAnswer: 54*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -0.5. Let f = j + -3.9. Which is the closest to 0.1? (a) 3\/4 (b) -1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 246*t - 308*t = 12*t - 11*t + 1071 for t.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -274 = -4*q - 98. Let g = -32 + q. Calculate the greatest common factor of g and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 228 and 76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/5, -2, -0.13, -4?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -526*f*v**2 - 525*v**2 with respect to f.\nAnswer: -526*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10.7 + -5.7. Which is the smallest value? (a) 1\/3 (b) l (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1148877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 128272012 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 + -19. Let a = 0 - 0. Which is bigger: n or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-32)\/64)\/(2 + (-7)\/2). Let 0 - m*s - 1\/3*s**3 + 2\/3*s**2 = 0. What is s?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 7*w + 11*w - 27 - 17*w + 43. Suppose 6 = -2*k - 10. Let i be u(k). Calculate the highest common factor of 20 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4 = -l, 4*n - 3*l = -l + 12. Let q(v) = 18*v**2 + n*v - 28*v**2 - 2*v. Let d(u) = 2*u. What is d(q(t))?\nAnswer: -20*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -y, -2*y + 10 = -3*c - c + 6. Determine d, given that 4\/3*d + 0 - 2\/9*d**c = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 25*m + 236 = -139 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*v + 1171 - 170 + 19 = 0 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279 is divided by 97?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 8*l - 1497 = 0. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 97124 = 5*j, -24281 = -21*y + 20*y - 5*j. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72177 is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-5*-2*sqrt(84) - sqrt(84))\/(2*sqrt(192) + sqrt(192) - sqrt(192))*-2.\nAnswer: -9*sqrt(7)\/4 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qoo when three letters picked without replacement from {w: 3, o: 2, q: 5}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = 2*d - 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y - 5*z - 22, -784*y = -789*y - 2*z - 25 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/(-3))\/(92\/(-52164)). Let h = -154 + l. Solve v + h - 38 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c - 25 = -5*c, 5*z - 3*c = -40 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2881 and 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 4 + 2)*(-6*y**2 - 7 + 7) + 3*y**2 - 2*y**2 - 2*y**2 + (4 - 7 + 0)*(8*y**2 - 3 + 3) + 0*y**2 - y**2 + 3*y**2.\nAnswer: -17*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -582.2 - -552.39. Let u = 30 + c. Let b = u - -2.81. Sort 1, 0.2, b in decreasing order.\nAnswer: b, 1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -352 - 314 = -3*z. Let a(b) = -49*b + 1726. Let i be a(33). Let g = z - i. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1230 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -396*n**2 - 4*n - 4. Let b(t) = -9898*t**2 - 101*t - 101. Determine -4*b(m) + 101*g(m).\nAnswer: -404*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.11 and 0?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 3 = -6*o. Let b = 22 + o. Which is smaller: b or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -266 (b) -10 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90 is divided by 50?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 625 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -110 - 11303330?\nAnswer: -11303440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 1021 - 1021 + 48*z as s + g*z and give g.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 1. Let r = -178191.077 - -178191. Which is greater: r or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 319331 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 74 - 70. What is the fourth biggest value in 2, 1, 0.4, f?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 197 divide 661893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 5*q + 0*q - q**3 + 10 - 7 - 4*q**2. Let y be g(-5). Suppose -y*b - s + 69 = 0, -3*s + 90 = 4*b - s. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 947*p**2 - 1157*p?\nAnswer: 1894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 29\/2 of a tonne?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1142 + 1154. Let l be 26\/(-3)*2*3. Let w = r - l. Is w a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.073, -36419 in decreasing order.\nAnswer: 0.073, -3, -36419","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1564?\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 3, -4, -18, 20.\nAnswer: -18, -4, -1\/5, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5.75*-4\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j = c + 4, c = -232*j + 231*j - 4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q + v + 3*v - 9, v = q + 1 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 75*x - 314. Let h be a(7). Let t = 269 - h. Calculate the greatest common factor of t and 319.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 28007.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*j + 13*j = -5*j. Let v(b) be the first derivative of 4 + 0*b + j*b**2 + 7\/3*b**3. Let y(z) = -z**2. Calculate y(v(d)).\nAnswer: -49*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*v - 17204 = 106*v. What is v rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 4*v = 12. Suppose -3*k - 9 = -3*s, -2*s + v*k - 5*k = 0. Let r(i) = i + 6. Let h be r(-8). What is the nearest to 0.1 in s, h, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -3*r**2 - 1 - 11*r + 8*r - 3*r**3 + 3*r**2. Let i(z) = -z**3 - z - 1. What is i(t) - w(t)?\nAnswer: 2*t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6420)\/(-856))\/(36\/(-16)).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2*b + 1 + 2, 0 = -2*d + 2. Suppose 0 = -31*t - 31*t + 310. Solve 5*g - 5*w - 35 = 0, t*g = -4*w - b + 10 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -236*q + 31163 = 20307 for q.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 5*i - 2955924 = 0, -4*i - 336078 = -3*l + 4097794. Suppose -4*k = l + 12522048. What is k rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lenxlllelxnzjjnjnljl. Give prob of picking 1 z, 2 l, and 1 n.\nAnswer: 28\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -306 - 307 - 313 - 42*s**2 + 921.\nAnswer: -42*s**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 57, -8, 4, 1 in increasing order.\nAnswer: -8, -6, 1, 4, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**3 + 2*o**3 - 4*o**3)*(-4*o**2 + 24*o**2 - 9*o**2).\nAnswer: -22*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 384 and 96?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70.98994l to millilitres.\nAnswer: 70989.94","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -297 - -930. Suppose 5*g - o = 2*g. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 342 + -337. Suppose 3*x = 3*f - 25398, s = -3*x + 8. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 86.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 5*v = n - 155, -2*n - 4*v + 76 = 0. Let y = n + -6. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -332020220 (base 4) to base 8\nAnswer: -761050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*r**2\/2 - 2252621*r\/2 + 1126305.\nAnswer: (r - 1)*(11*r - 2252610)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gjda when four letters picked without replacement from {d: 3, a: 1, g: 3, e: 1, j: 2, k: 1}?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 + 11 - 2)*(2*c**4 + 0*c**3 + 0*c**3).\nAnswer: 42*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (3 + 0 + sqrt(304) - sqrt(304) - (sqrt(304)*1*2 - sqrt(304)))**2 + -4)*3.\nAnswer: -72*sqrt(19) + 939","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 2*s - 30. Suppose 2*l + s = 4*l. Which is the third smallest value? (a) l (b) 2\/3 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -16*r + 12. Suppose -4*w = 5*n + w - 15, 3*w = 5*n - 47. Let a(g) = -5*g + 4. Let z(k) = n*a(k) - 2*x(k). Find the first derivative of z(b) wrt b.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 15*z**2 + 9*z + 8. Let q be i(-6). Let k(t) = 2*t**2 - 5*t + 4. Let p be k(-12). Let l = q - p. List the prime factors of l.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008852254220852 take away 4?\nAnswer: -4.008852254220852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/27)*l)**(-1\/18) assuming l is positive.\nAnswer: l**(-14\/243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4\/5 (b) 2\/39 (c) -0.3 (d) -2989 (e) -1\/8 (f) -4 (g) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m - 6*m + 6*m - 6*m. Let z(r) = 4*r. What is z(q(f))?\nAnswer: -16*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 2*p**2 - 2*p + 3. Let j be z(3). Let s(v) = -v**2 + 6*v. Let k be s(j). Sort -4, k, -3.\nAnswer: -4, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 1:45 AM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 2 = -2*d + 3*m, 3*d + 5*m = -4. Let b = 0 + d. What is the first derivative of -1 - 4 + 0 + 3*g**b wrt g?\nAnswer: 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 281 + 6*f - 4*f - 4*f.\nAnswer: -2*f + 281","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/3 - 15*g.\nAnswer: g*(g - 45)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o**3 + 15*o**2 - 19*o + 17. Let d(c) = c**3 - 8*c**2 + 10*c - 9. Let f(r) = -5*d(r) - 3*j(r). What is f(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47741143 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208 is divided by 94?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 79\/2 of a litre in millilitres?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -65.25+4\nAnswer: -61.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 3*h - 3*c - 10, c = 0. What is the third derivative of -6*k**3 + 2059 - 1038 - 2*k**h - 1041 wrt k?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -59 + 70. What is the highest common factor of u and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-5)*0 - -20. Suppose j = 2*b + 5*u, 3*b + 0*u + 4 = u. Put 3, b, -11 in increasing order.\nAnswer: -11, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 340602?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 8*s**2 + 3*s + 6. Let r be j(-6). Suppose -5*o + r = n + 2*n, -n - 12 = -o. Suppose 13*a - 49 = o*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10335461713.393 - -1.\nAnswer: -10335461712.393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 40 = 4*g + 179, 0 = -4*g - 5*m - 229. Let a = 66 + g. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47.3 - 47. Let z = 2 - 1. Let k be (4\/22)\/(z + -2). Put -0.5, q, k in decreasing order.\nAnswer: q, k, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 6*w - 30. Let k = -44 + 58. Calculate the remainder when j(9) is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5796 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n = 86*n + 20*n - 912 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tno when three letters picked without replacement from {e: 10, d: 1, t: 4, o: 2, n: 2}?\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5299500 rounded to the nearest one hundred thousand?\nAnswer: 5300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i\/(i**(-1\/4)\/i*i))\/i)\/(i**(1\/7)\/i*i*i)*(i\/i**(1\/5))**(2\/3) assuming i is positive.\nAnswer: i**(269\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 4*f - r + 4*r, 3*f - 1 = 5*r. Let s(c) = 149*c + 24. Is s(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2*n = -5*a + 37, -n + 34 = 4*a. Solve a*f - 4*f = -5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 685790 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 + 27. Let u(d) = d**2 + 8*d - 16 - 6*d**2 + j - 2*d**2 + d**3. Let p be u(6). Solve -4*i = -p*i - 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c. Suppose r + 0*r + p - 5 = 0, p - 3 = 0. Let i(m) = -3*m**2 - m**2 + 6*m**r + m**2. Calculate i(l(u)).\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 2147.3 to the nearest one hundred.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.5, 3\/5, 1\/7 in decreasing order.\nAnswer: 1, 3\/5, 1\/7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of 3\/2*n**2 + 1\/6*n**4 + 0*n**3 + 0 + 4*n. Differentiate y(x) wrt x.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (387 - 245 - 2267)*(0 + w + 2 - 3*w).\nAnswer: 4250*w - 4250","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -11369.\nAnswer: 11369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 4 + 3*y - 8 + (-11 + 11 - 2*y)*(-3 - 3 + 2))*(2*y**2 + 3*y**2 - 3*y**2) to the form s*y**2 + o*y + f + c*y**3 and give c.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 636307177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of -19\/3*z**4 + 0 + 7\/60*z**5 + 0*z**3 + 195*z**2 + 0*z. Find the second derivative of y(d) wrt d.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 241 take away 13?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 22, -9, 8, -5, 1.24?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i + 4. Let z be w(-9). Which is the third biggest value? (a) z (b) 1 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 5*i - 30, -5*n + 18 = 17*i - 15*i. Solve 2*s + j = s + 3, 8 = n*j for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47899, -49440, -50973, -52492, -53991, -55464, -56905, -58308?\nAnswer: -59667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 smaller than 669248712?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -501 + 497. Let f = 0.8 - 4.8. Let m be 10\/35*(-1)\/2. What is the closest to v in -0.3, m, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n + 532*n**2 - 533*n**2 + 3*n + 55.\nAnswer: -n**2 + 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34 by -1187612.\nAnswer: -17\/593806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4411*a**3*j - 26*a**3 - 325*a*f**3*j + 3578*a*f**3 with respect to j.\nAnswer: 4411*a**3 - 325*a*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 4*u - 3*p + 2*p, 0 = -5*p + 15 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9504 by 9.\nAnswer: 1056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + 2*u**2 - 310*u + 1273. Calculate a(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 726314 and -9.\nAnswer: -6536826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -12101021 (base 3) in base 7?\nAnswer: -14302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*d - 4*u, d - 9 = -d + u. Suppose q = -d*q + 6. Suppose z = 3*z - 22. What is the lowest common multiple of q and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 56*q = -522. Let p(u) = 2*u**3 - 17*u**2 + 14*u + 15. Calculate the remainder when p(q) is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 + 0*i**2 + i**3)*(-i + 2*i + 0*i) + i**4 + 18*i**3 - 5*i**4 + 7 - 19*i**3 + (5*i**4 - 5*i**3 + 5*i**3)*(3 - 5 + 0).\nAnswer: -13*i**4 - i**3 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-128)\/(-18))\/16)\/4.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-8)*1*32\/(-60)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -7*o + 4. Let k be y(-3). Suppose -b - u = 2*u + 76, 5*u = k. Let v = b - -140. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 1112?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - j - 1. Let h(m) = 2*m**3 + 10*m**2 + 10*m + 9. Let s(c) = h(c) + v(c). Suppose -1 + 19 = -2*x. Let g be s(x). Solve -i - g = 3*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 122*p**2 + 90*p**3 + 814*p**2 + 1495*p - p**4 + 2399*p - 24620 + 30065 + 4*p**4.\nAnswer: 3*(p + 3)*(p + 5)*(p + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 1.376\nAnswer: 2.752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2081 is divided by 86.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(336)*-1 + sqrt(336) - sqrt(336))*5)\/((sqrt(1008) + (-2*sqrt(1008)*4 - sqrt(1008)))*4).\nAnswer: -5*sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 72 - 67. Suppose 0 = -f - 4*v - 11, 2*f - 3*f - 16 = r*v. Solve 4*k + u + 17 = 0, 4*u + f = -2*k - 3 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 509\/8 at most 64?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) 2\/19 (c) 1 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 389?\nAnswer: 3\/389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6, 3, 18, 39?\n\"Answer: 3*a**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4*s - 25 = 0, 3*a - 5*s = -2*s - 30. Put a, 0, -8 in increasing order.\nAnswer: -8, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 27\/4304?\nAnswer: 27\/4304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4561 and 20265590?\nAnswer: 20270151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 342962464 to the power of 1\/3, to the nearest integer?\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36 - 34. Suppose -v*h - 20 = -28. Find u such that 2*u**5 + 27*u**4 - 2*u**3 - 55*u**4 + 28*u**h = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4153104 and 8154.\nAnswer: 12459312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0651 != -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(875) - (sqrt(875) - (sqrt(875) - sqrt(875)*-3)))\/((sqrt(28) - sqrt(1372))\/sqrt(4) + sqrt(7)).\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**3 + 1728*d**2 + 347260*d + 687600 = 0.\nAnswer: -180, -2, 1910","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1683\/(-88)*-4 + 3\/2. Suppose -42 = 9*g - y. Solve -g*r = -h + 7, 4*r - h - h + 6 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-270)\/(-25))\/6*(-5)\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, w: 1, f: 10, z: 1, n: 2}. Give prob of sequence wf.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 131762 (base 8) to base 12\nAnswer: 227aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -396\/5*n + 222\/5*n**2 - 9*n**3 + 3\/5*n**4 + 216\/5.\nAnswer: 3*(n - 6)**2*(n - 2)*(n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 2*l - 366 = -p, 0 = -2*l + 10. Suppose -17 = 355*r - p*r. Solve -n = -r + 13 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**32\/(z\/(z\/z**(-3\/5)))*z*z*z*((z*z**(-34)*z)\/z)\/z*z*(z**(-25)*z)\/z assuming z is positive.\nAnswer: z**(-112\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/13 - 23\/65. Sort -0.3, 0.005, k.\nAnswer: -0.3, k, 0.005","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 2. Let v be ((-2)\/(-4))\/(c\/64). Suppose -5*p = -p + v. Is -5 at least as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 10 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/((-8)\/1130)*9\/(675\/960) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 27958900 to the nearest one hundred thousand.\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1517770*i**3 - i**2 + i**2 + 1517767*i**3.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 + 18. Let i be 1 + 71\/y*98. Suppose 0 = -4*x - 0*x + i. What is x rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/47 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-789)\/(-6) + 12\/24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 4*w = j + 267, -5*w = -j + 65. Suppose j = r - 22. Suppose -16 = -n - 5. What is the greatest common factor of r and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6b7 - 42?\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 74 + 21*x**2 + 33*x**2 - 11*x**2 - 75 to the form z + j*x + w*x**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4688.\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7658.17778 - 7658. Round q to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, m: 4, j: 3}. Give prob of sequence vjjm.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000666 to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 1332846 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-6*sqrt(275)*1 - sqrt(275))*-5)**2*2.\nAnswer: -700*sqrt(11) + 673752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 48, 70, 90, 108?\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 + -13. Suppose 0*h + s*h = 0. Solve 5*n - 3*g - 2 + 8 = h, 5*n + 12 = g for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - 6. Calculate the greatest common divisor of t and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n**4 - n - 543*n**2 + 328*n**2 + 160*n**2 + 2 - 28*n**3 to the form u*n + s*n**4 + f*n**2 + g + a*n**3 and give f.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 6*p**2 + 2*p + 75. Let f(t) = -5*t**2 - t - 67. Let b(s) = -8*f(s) - 7*x(s). Determine b(7).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7831, -15664, -23499, -31336, -39175, -47016?\nAnswer: -54859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -10 - -2 - -2 - -2. Let o = -30 - -34.9. Let f = 3.9 - o. Which is the biggest value? (a) p (b) f (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - s + 9 = 0, -7*d - 4*s = -6*d - 22 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 + 2*o**2 - 6*o**2)*(2*o**2 - 2*o**2 + o**3) + (0 + 1 + 3)*(-3*o + 2*o**5 + 3*o).\nAnswer: 5*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -57. Calculate the highest common factor of v and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 * -4454\nAnswer: -44540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = 72152 - 8832. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 580870 a multiple of 349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 + (-48 - (-9 + -16) - 8).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + b - 12. Let x(t) = 8*t + 4*t - 11*t - 13. What is x(b)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123186477017 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70, 89, 86, 49, -34, -175, -386?\nAnswer: -679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 - 7*j - 7. Let y be l(-6). Find the common denominator of y + (2541\/(-18))\/7 and 25\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 636*x - 3208. Let v be a(5). Let y(g) = -g**2 - 27*g - 5. Give y(v).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 4*x + 9. Give o(6).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**5\/4 - 309*l**4 - 1245*l**3 - 1248*l**2.\nAnswer: 3*l**2*(l - 416)*(l + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 230635262 + -1?\nAnswer: 230635261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 54854338 to the nearest integer?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 262 a factor of 336450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 3*z - 17 = -4*z, 3*f - 7 = 5*z. Suppose f*g - 387 - 1477 = 0. List the prime factors of g.\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/1*3*(-2)\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1927, 7, -9 in descending order.\nAnswer: 7, -9, -1927","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cffthc. Give prob of picking 1 c and 3 f.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -123 and -3.6.\nAnswer: -126.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001076 rounded to 4 decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -60455 - -34455. What is n rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -566 + 566.5. Which is the nearest to 1? (a) -5 (b) 0.06 (c) s (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m\/m**(-12)*m)*m*m**11)\/(m\/((m\/(m**4\/m))\/m))**43)**14 assuming m is positive.\nAnswer: m**(-2436)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 440 + 10?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19295 - -19294.81. Put m, 2\/5, 0.2, -3 in ascending order.\nAnswer: -3, m, 0.2, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/22 and -187\/4170.\nAnswer: 45870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -9d (base 14) to base 11\nAnswer: -117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3*g**2 + 46*g - 23. Let d(v) = -v**2 + 15*v - 8. Let t(s) = 8*d(s) - 3*l(s). Let u be t(18). Solve -u*y + 2 + 15 = -4*b, b - 2*y = -8 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 40 = 5*u + 2*a, 0 = 2*u - 4*a + 26. Let k(i) = -4*i - 4. Let v be k(u). Calculate the greatest common factor of v and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35263 = 62*g - 759. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.05 + -2.95. Let b = -1 + d. Let u = -0.566 - -0.386. What is the second smallest value in -0.5, u, b?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43099383 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -41*l - 390. What is the remainder when r(-14) is divided by 24?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**3 + 203668*c**2 + 24053710*c + 709789824 = 0. Calculate c.\nAnswer: -59, 101952","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.06 + -0.06. Suppose 15 = -q - 2*j, 16 = -q - j + 4. Let g be (102\/32 - 3)\/(q\/(-12)). What is the closest to d in 0.5, g, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 74*b**3*r**2*y - 553*b**3*r*y - 4*b**2*r**2*y + 4*b**2*r**2 + 2*b**2 - 6436*b*r*y wrt b?\nAnswer: 444*r**2*y - 3318*r*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 16*t + 550. Let w be s(-34). Solve 0 = -5*y - 4*i - 7 + 35, 4*y - 5*i = w for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(-3 - 8\/(-4)). Solve h - 5*k + 8 + 7 = a, -6 = -4*h - 2*k for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.16 * 30.2\nAnswer: 4.832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand k + 2*k**3 - k + (3*k**2 + 2*k**2 - 3*k**2)*(-59*k + 25*k + 15*k) + (-k**2 + 5*k**2 - 2*k**2)*(4*k - 5*k + 6*k).\nAnswer: -26*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0 + 6 + -30 + 2 + 5.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of -1 - 25\/(-5) - -79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 41 = 4*x, 6 = 5*o - 5*x + 1. Solve o*a + 4*f - f + 40 = 0, 0 = -4*f - 20 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ndln when four letters picked without replacement from llldnlllnllnlllnndl.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ph when two letters picked without replacement from ammpwmmhm?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**3 - 2*l**2 + 5*l - 2. Let g be v(2). Solve 0 = -n, -4*a = -n - n - g for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 815792402 to the nearest integer?\nAnswer: 28562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5*a = 7, -n + a = 5*a - 11. Let p(c) = -7*c**3 + c**2 - c - 1. Let r be p(n). Let b = -16 - r. Is b a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33 (base 6) to base 3\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 630 = -97*w. Let u be (-3 + 1)\/((-4)\/6). Suppose -2 - u = 5*i, 4*a - 32 = -4*i. Calculate the remainder when a is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 31\/5 of a kilogram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7220 in -3, 5, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -115, -110, -91, -52, 13?\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28 - -47. Let v = m - -6. Suppose -3*c + v = -20. Does 5 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**21\/(d\/d**3))**(-10) assuming d is positive.\nAnswer: d**(-230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -175, -192, -209?\n\"Answer: -17*c - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 29 = 15. Let v(o) = o**2 + 7*o + 3. Let q be v(s). Solve -q*w + 2 = -7 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7*((-26)\/(-21) - 20\/30). Suppose -v + 4*j = 6*j - 27, -4*j - 144 = -l*v. Calculate the remainder when v is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/((j**(15\/7)*j*j)\/j)*j*(j**18\/j)\/j assuming j is positive.\nAnswer: j**(104\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j + 15 = -10*j. Let k = 22 - j. Let f(o) = -2*o**3 - 5*o**2 - 2*o + 2. Let b be f(-3). What is the greatest common factor of k and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**2. Suppose -5*j + 2*a = -9 - 7, 15 = 3*j - 3*a. Let r(z) = -70*z**2 + 77*z. Let c(v) = v**2 - v. Let d(u) = j*r(u) + 154*c(u). Give w(d(y)).\nAnswer: 392*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 297979?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 4*z + 2*z - 4 = 0, -a = 2*z - 8. Find the second derivative of r - a*r**4 + 2*r - 2*r wrt r.\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 32*t**2 - 124*t + 591. Let s be c(27). Calculate the highest common divisor of 16 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/3 (b) 1\/4 (c) 3.18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/14, 36, 3?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 16*i**3 + 3*i**2 + i - 3. Let w be f(1). Solve c - w = 4*m, 5*m + 3*c = -2*c + 10 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -331521330 + 3?\nAnswer: -331521323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*i**2 + 8*i**2 - 86 + 118 - 69 - 175*i**3 - 531*i**3 wrt i.\nAnswer: -4236","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 (base 12) in base 10?\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 2660162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 19 - 56*l**2 + 19 - 24.\nAnswer: -56*l**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2308936401.\nAnswer: 3, 71, 1204453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -5*b - 4*b + b + 4*b. Let p(n) = 15*n + 13. Let x(r) = -7*r - 6. Let t(k) = 6*p(k) + 13*x(k). Calculate t(a(w)).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 331 is divided by 42?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/1)\/(2\/88*11).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 6682467?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dogabagggddgagbgda. Give prob of picking 1 o and 1 g.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.194632 times -1?\nAnswer: 2.194632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 0. Let o = -5 - 9. Let p = r - o. Is 7 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 19*v**2 + v + 1. Let w(t) = 56*t**2 + 3*t + 3. Let b(c) = -11*q(c) + 4*w(c). Suppose i - 1 = 2*i. Does 15 divide b(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/462 and -83\/220.\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1980 - 1977. What is the third smallest value in 2, u, 891?\nAnswer: 891","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 10:31 AM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 5*c + 76 = -4, -5*c = -2*i + 220. Suppose -v - 80 + i = 0. Solve -2*m + 6 = -3*n + 14, -v = 5*m - 2*n for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9 to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 4265?\nAnswer: 4265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nppnnppnnpnppppn. Give prob of sequence pp.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 50 = f + f, 4*f - 120 = o. What are the prime factors of f?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -404 - -406. Solve t*h - 5*h - 2*q + 7 = 0, 0 = 4*h - q - 13 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g**3 + 8*g**2 + 13*g**2 + 4*g**2 - 41*g**2 + 14*g**2.\nAnswer: 4*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 473 (b) -1\/64 (c) 1\/5 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 471594?\nAnswer: 2, 3, 53, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10012 (base 3) in base 10?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 4*c**2. Let z(d) be the first derivative of 2*d**2 - 2*d - 121. Give b(z(p)).\nAnswer: 64*p**2 - 64*p + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*o**4 + 1330*o**3 - 121260*o**2 + 4067800*o - 25442240 = 0. What is o?\nAnswer: 8, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (49 + -39 + (-2 - 2) - 10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 546, -2, 5 in decreasing order.\nAnswer: 546, 5, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*b + 2*b + b + (-2 + 5 - 2)*(-5*b + 4*b - b) - 3*b + 0*b + b - b - 3*b + 5*b + 8*b - 9*b + 36 + 8 to the form r*b + k and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-7) + 44\/126*-1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 111 - 107. Which is the biggest value? (a) 5 (b) -1 (c) 1 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.17 - 0.67. Let m = -7.128 - -6.828. Which is the closest to 0.1? (a) u (b) m (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3581 + 3828. Calculate the greatest common factor of s and 377.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 times -2.8152?\nAnswer: -149.2056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -h + 3*j, 3*j = 6*h - 3*h + 2*j + 25 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of m**3\/6 - 2*m**2 + 20*m + 2. Give l(-9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z**2 + 4*z**2 - 2*z**3 + (4 - 3 + 0)*(-z**3 - z**3 + z**3) + 3*z - 3*z - z**3 + (z**2 - z**2 + 2*z**2)*(1 - 1 - z).\nAnswer: -6*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4213 divided by 220.\nAnswer: -383\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = t, 5*t + 10485 = 3*o + 2*o. What is the thousands digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-10)*-70 + -9 + -2. Let j(z) = 5*z**3 + 8*z**2 - 2*z + 8. What is j(v)?\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27635364 - 27635364 + 12*n**2.\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -14*1 + (-2)\/2. Let m = 27 + h. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (70\/(-21))\/(-10) - 136\/3. Let g be 6 + 260\/l + (-31)\/18. What is the second biggest value in 7, 1\/5, g, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 2. Let r(d) = -d**2 + 5*d. Let f(p) = -p + 13. Let z be f(8). Let o be r(z). Which is the closest to -0.1? (a) l (b) o (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -0*t - 4*a, -5*a = 3*t - 3. Let c be (-5)\/(-2)*(6 + t). Is (2 - 12)*(-6)\/c a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-58 - -65) + (-41)\/5*1?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 83*x - 4. Let g(q) = 4*q**2 + 1. What is i(g(j))?\nAnswer: 332*j**2 + 79","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4 is divided by 20\/15 - (-2)\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19*a**2 - 116175*a - 2606765 with respect to a.\nAnswer: 38*a - 116175","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Express -38*u - 8*u - 7*u - u - 2 + 2 + (u - 1 + 1)*(-1 + 0 - 1) - u + u + u + (2 - 2 + 6)*(-u + 0*u + 2*u) + 0*u + 3*u - 5*u as g + h*u and give h.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/7? (a) 0.3 (b) 90134 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30 + 29.5. What is the nearest to 2\/7 in s, 0.11, 4\/5?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2 + 2 + -1 + sqrt(3200) + sqrt(3200))*-6)**2 + -1.\nAnswer: -207360*sqrt(2) + 16590095","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 10\/7. Let z = -112 + 113. Which is smaller: c or z?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-30)\/(-135) - 50\/(-18)) + 122. Let h = -127 + j. Let o be h\/4*(-2 + -2) - -1. Solve 4*n + 6 = -2*u - 0, -o = u + 3*n for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57 (base 11) to base 14\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9082699 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2113022213 (base 4) to base 16\nAnswer: 972a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6479995358 to the nearest integer?\nAnswer: 80498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 384 is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.614392l in millilitres?\nAnswer: 4614.392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 419155.4um to kilometers.\nAnswer: 0.0004191554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - 0. Let x = 11 - -74. Let s = x + -81. What is the closest to 1 in s, t, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 5*v**2 - 2*v + 6. Let p be t(4). Suppose 2*m - 3*m = 5*b - p, m = -b + 6. Suppose -3 = o - b. Which is greater: -9\/4 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8340 - 8335. Solve -9*g + 5*g + u = -16, -5*u = -3*g - q for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - -8. Let s = -1.6611573 - -15.6611743. Let d = h - s. Round d to six dps.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -36800 to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -5. Let i be (2 - 0\/3)*1. Suppose 0*j - 2*j = i. Let q(x) = -2*x. Let n(t) = t. Determine f*n(u) + j*q(u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 6*i - 9*i. Let p(z) = z**3 + 8*z**2 - 8*z + 39. Let y be p(i). Which is the third smallest value? (a) -0.2 (b) -4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*x, 3*n + x + 21 = -28. Let m be (-17)\/(-5) - 9\/n. Suppose -2*d + m*d - 44 = 0. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 0 - 4)*(-2*o + 0*o + 4*o)*(-516*o + 12291 - 12291) as n*o**2 + q*o + i and give n.\nAnswer: -2064","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(78) + sqrt(78)*1)*-2*4)\/(sqrt(30)\/(sqrt(405)*4 + sqrt(405))))**2.\nAnswer: 6739200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kf when two letters picked without replacement from kvnkxnffnxfnndn?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 29983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -0.053?\nAnswer: -2.053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8214, -8212, -8208, -8202, -8194?\nAnswer: -8184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2390 = 5*k - 0*k. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 210\/(-4)*((-84)\/15 - -4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 11:38 PM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 90475?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 4*r**2 + 7*r - 5. Let h be f(5). Suppose 2*n = -1 + h. Solve -n*b - 2 = 2*q, b + 3 = 4*q + 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lo when two letters picked without replacement from {l: 2, f: 3, x: 6, u: 2, y: 1, o: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1102 is divided by 101?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p, 5*x - 2010 = -0*p - 2*p. What is the hundreds digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/((-2)\/(-9)*(9 + -12)). Solve r*d + 3*z = 15, -2*d - 2*z = d - 12 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1649503 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-9 + 10 - (1 + 3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/7)*b**(-23)\/b)**(-27\/2) assuming b is positive.\nAnswer: b**(2295\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*d - 3*d - 362 = -685 - 445 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -343, -33, 4 in descending order.\nAnswer: 4, -33, -343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a century in years?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/20)\/(9\/(-5)). Let g = -0.92578 + -0.07422. What is the fourth smallest value in g, y, -0.5, -3\/4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7, 11, 17, 25?\n\"Answer: d**2 + d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 10 = -q. Let m be -1*1\/q*-2. Suppose f - m = 2. Solve 0 = -k - 5*j + 19, -f*j + 2*j = -3 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 205 + -107. What are the prime factors of (-28)\/x + (-3096)\/(-7) + -2?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + p**2 - p - 3. Let q be d(0). Let u be (-36)\/(q - 1) + 3*-1. Differentiate 11 + 9*m**2 - u*m + 6*m + 6*m**2 with respect to m.\nAnswer: 30*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21\/13 + 3\/26. Let u(o) = -o**3 + 8*o**2 - 8*o + 7. Let v be u(7). What is the third smallest value in i, v, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 34842 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 160.563699 to the nearest 10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*((-228)\/40)\/((-42)\/(-28)).\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 5*a**2 + 72*a + 254. Let f be j(-6). Solve 2*n + f = 4*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 4 - 4)*(3 + 2 - 3) + 85 + 120 - 38 + 36)*(y - 1 + 1).\nAnswer: 199*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 0.06, 5 in increasing order.\nAnswer: 0.06, 1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4\/9 (b) 16 (c) 0 (d) -7\/111\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 5*t**2 + 4*t + 1. Calculate the remainder when l(-6) is divided by 240\/50 - (-2)\/10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = 2*c - 15, 1144*c = 1145*c - 5*i - 15 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 177*v**3 + v**2 + 2*v - 3. Let g be f(1). Let s = g + -168. Is s a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 1 - (-2896 - 1). Let u = 31826\/11 - r. What is the common denominator of u and ((-1806)\/(-35))\/6 - (-3 + -1)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -2. Let r be 36\/(24\/4) + -6. Suppose r = -7*g + 65 + 47. Solve -s = q*s - g for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 536 + -534. Factor 2*k**n - 7*k + 92 + 3*k + 3*k - 7*k - 86.\nAnswer: 2*(k - 3)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 2)*(-1 + 1 - 5)*(-4*c**2 + 4*c**2 - c**2)*(-c + 2 - 2)*(-5 + 5 - 2).\nAnswer: 10*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*(7\/28)\/((-2)\/84). Let d = p - 1. Suppose 0 = t + 5*z - 191, -3*t + z = -537 - d. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -132*g**4*w + 23*g**4 - 21*g*w - 800*w + 117 wrt g.\nAnswer: -528*g**3*w + 92*g**3 - 21*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mvggmvvg. Give prob of sequence gvm.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7314 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7294, 14578, 21862, 29146, 36430, 43714?\nAnswer: 50998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - (5 - -9) - (-2 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 24*(6\/(-12))\/(6\/(-20)). Calculate the least common multiple of 22 and -7*(o\/14 - 4).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (57\/(-38))\/(3\/39284). Does 12 divide 2\/5 - k\/70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from safmfwzmfww. What is prob of sequence fmw?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + 235. Let p = -66 + u. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4946, 3959, 2324, 53, -2842, -6349?\n\"Answer: 2*i**3 - 336*i**2 + 7*i + 5273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 86767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 4 - (1674\/1085 - (-2)\/5)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -338.3048987 from -0.0392.\nAnswer: 338.2656987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 500 = -8*j + 3*j. Let l = 119 + j. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -187d?\nAnswer: -1878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 12722, 12721, 12720, 12719, 12718?\n\"Answer: -u + 12723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -7*n**3 + 23*n**2 + 14*n - 35. Let b(m) = 3*m**3 - 11*m**2 - 7*m + 17. Let t(l) = 9*b(l) + 4*d(l). Does 12 divide t(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 74 + -381046?\nAnswer: -380862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 113*j - 100. Let b(l) = -111*l + 100. Let k = 116 - 118. Let u(g) = k*o(g) - 3*b(g). Differentiate u(a) wrt a.\nAnswer: 107","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 8:26 AM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 + (10 - 12) - (47 + -39).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**(-6\/5)*c*c*c*c**(2\/13)\/c*c*(c**(2\/5))**(15\/2))**(3\/5))**47 assuming c is positive.\nAnswer: c**(63732\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/518320 and -58\/291555.\nAnswer: 4664880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 734291?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 + 28. Let l(j) be the first derivative of -13*j**2\/2 - j + 5. Let h be l(-5). What is the greatest common divisor of y and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t + 4. Suppose -2*n = 8, -3*n = 2*d - 0*n - 24. What is the smallest common multiple of d and k(0)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -2*g + 42, 0 = -3*g + i - 2*i + 38. Suppose 38*s = 40*s - 6. Let j(z) = 19*z - 2. Let t be j(s). Calculate the highest common factor of g and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 6, e: 4}. Give prob of picking 1 e and 3 j.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5441 + -5189. Calculate the greatest common factor of 198 and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001 rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1266)\/4)\/((-10)\/4). Let h = -127 + l. What is the nearest to h in 2, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12030033130 + 3?\nAnswer: 12030033133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -2978, 0.4?\nAnswer: -2978","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1835*p - 90*p + 901*p + 2 - 2331*p.\nAnswer: -3355*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 7. Let v = h + -1.6. Put v, -4, -2\/11 in decreasing order.\nAnswer: v, -2\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m**2. Let t(q) be the third derivative of 61*q**5\/30 + q**2 + 218. Calculate t(y(c)).\nAnswer: 488*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 75 + -26. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23.77 + 12.23. Which is bigger: n or -33\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25.1 * -0.55.\nAnswer: -13.805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3285 and 137605.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 1 - (-19 + 16)) + -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o**2 + 13844704*o + 96913124 = 0. What is o?\nAnswer: -7, 3461183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1516503 (base 7) to base 5.\nAnswer: 23101031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-6)\/((n**3\/n)\/n*n))\/(n**1*n)**(-48))**42)**(-37) assuming n is positive.\nAnswer: n**(-136752)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-9)\/(-2)) + (-209)\/(-165) + -1.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 5*k**2 + 24*k + 12. List the prime factors of j(7).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/48 and -7\/649008?\nAnswer: 649008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of 1\/6*j**4 - 31*j + 0*j**2 - 2*j**3 - 17\/5*j**5 - 1. What is the third derivative of q(a) wrt a?\nAnswer: -408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(2\/7))**(1\/8))**(-16)*(f\/f**(-2\/7))**(-39)\/(f**(-4)\/f**(1\/4)) assuming f is positive.\nAnswer: f**(-1325\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -418*w**3 - 47*w**2 - 335*w**5 + 1022*w**4 - 2650*w**4 - w**2 - 149*w**5 - 126*w**3.\nAnswer: -4*w**2*(w + 3)*(11*w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3801224 is divided by 36202?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17)\/(2142\/56))\/((-16)\/(-12))*-75?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 4 + 10 - 6 = 0. Solve -5*i = -a*i - 2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1418 + 1474. Is v a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 - (-2292)\/(-96)) + 7?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.749 rounded to zero decimal places?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6744 + 15760. What is the greatest common factor of p and 276?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, -39, 3318 in increasing order.\nAnswer: -39, 28, 3318","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -1\/175 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**2\/2 - 7346347*v\/2 + 3673174 = 0. What is v?\nAnswer: -7346348, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 4098*x + 1221190. Calculate l(-298).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 50 by 9960950.\nAnswer: 1\/199219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 7*r**2 - 60*r + 2. Determine b(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 28087 (base 10) in base 9?\nAnswer: 42467","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.22 and -46.\nAnswer: -10.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of 0*m**3 + 0 + 3*m**2 + 0*m + 0*m**4 - 1\/540*m**6 + 1\/135*m**5. Factor n(r).\nAnswer: -2*r**2*(r - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36.237 + 36.2370017113. What is r rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 54 + 339 = 0. Let r(c) = -2*c + 1. Let j be r(1). Let h(x) = -14*x**3 + x**2 - 3*x - 3. What is the remainder when p is divided by h(j)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 52 - 50. Let m(n) be the third derivative of 0*n**3 + 1\/36*n**4 + 0*n + 0 + 1\/180*n**6 + h*n**2 - 1\/45*n**5. Factor m(p).\nAnswer: 2*p*(p - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y + 10. Let o be r(9). Let b be (-77)\/(-5) + 2\/(-5). Let f = b - o. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -341*r - 33*r - 129*r.\nAnswer: -503*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*p - 28 = 15*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 divided by 6115?\nAnswer: 39\/6115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 236084 a multiple of 277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8 - -162?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1101 + -717. Suppose -2*k = 6*k - c. Calculate the greatest common divisor of 120 and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13601, 27203, 40803, 54401, 67997, 81591?\nAnswer: 95183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -11*i**3 + 2*i**2 + i. Let v(q) = -q. Let b(r) = -j(r) - 2*v(r). Let o(m) = 11*m - 65. Let z be o(6). What is b(z)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d + d + d**2 + (2*d - 7*d - 4*d)*(1 + 5 + 14)*(-3 + 2 + 3*d - 2*d).\nAnswer: -179*d**2 + 180*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 2*m + 9. Suppose -5*w - 49 = -4*b, 2*b + 5*w = -0*b + 17. Calculate the smallest common multiple of b and m.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 4*a**2. Let l(d) = 2*d**2 - 7 - 3 + 4. Let p(u) = 1. Let n(y) = l(y) + 6*p(y). What is o(n(f))?\nAnswer: 16*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 65761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -166 - -503\/3. What is the third biggest value in f, 1, 4\/3, 5?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 0*f + 270. Suppose 5*v - 106 = f. Does 16 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583507.1ml in litres?\nAnswer: 583.5071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 261415 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5.25777 from 155787.\nAnswer: 155781.74223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, a: 7, l: 3, j: 2}. Give prob of sequence all.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 6:54 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 4*l**2 - 2*l - 6. Let o be x(-4). Let y = 3 - 3. Suppose o*i - 22 = 5*m, -i + y = -3*m - 11. What are the prime factors of i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1732*t - 700*t + 808*t + 1721*t in the form h*t + v and give h.\nAnswer: 3561","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 15 - 21 = 0. Let o(a) = 4*a**2 + 4*a + 2. Let x(z) = -z**2 - 1. Let n(j) = o(j) + 5*x(j). Let v be n(p). Solve -16 = 4*u - v for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d*f*q**2 + 496*d*f*q + 193*d*q**2 + 2*d*q - 5*f*q**2 + 4*q**2 wrt q.\nAnswer: 4*d*f + 386*d - 10*f + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250281072 is divided by 28.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 57.953 + 0.047. Let z = 57.33 - d. Let r = z + 0.17. Put r, -1, 0.2 in descending order.\nAnswer: 0.2, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 11 and -13.2474768013.\nAnswer: -2.2474768013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*d - 235 - 585 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of 7*c**5\/20 - 5*c**2. Determine u(1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4a + 6?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - -2. What is the third derivative of l**3 - 168*l**2 - l**3 - h*l**4 + 162*l**2 wrt l?\nAnswer: -432*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1499049?\nAnswer: 3, 166561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 26, 106, 248, 458, 742, 1106, 1556?\n\"Answer: f**3 + 25*f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16203683 is divided by 506365?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(1\/2)\/(h**(-1\/4)\/h*h)*(h*h**(1\/2)*h)**(-1\/8) assuming h is positive.\nAnswer: h**(7\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o**3 + 340*o**2 + 335*o = 0.\nAnswer: -67, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 243437*l + 0 - 50105*l + 4. Let b be a(3). What is b rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 7334.138 hours?\nAnswer: 26402896800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbba when four letters picked without replacement from objbasb.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 335 - 103. List the prime factors of y.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-78)\/(-18) + -4)*(-335)\/(-55) and 19\/264.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21*-5*((-42)\/(-28) - 468\/280).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, 4, 28, 2, 3, -7 in decreasing order.\nAnswer: 28, 4, 3, 2, -7, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 11 + 32 - 6*j - 13.\nAnswer: -6*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -584, -1692, -4692, -10526, -20136, -34464, -54452?\n\"Answer: -157*w**3 - 4*w**2 + 3*w - 426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 479 + -171001\/357. Let l = -12\/119 + t. Let v = 0.48 + -0.88. Which is the third smallest value? (a) v (b) l (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 825 + -903.4. Let k = u + 63.48. Let s = k + 15. Which is the nearest to s? (a) -5 (b) 0.2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 14 = 2*v, -2*v + 4*s = v + 11. Suppose 0 = a + 4*f - 1, 28 = 2*a + 3*a - v*f. What are the prime factors of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -5*q + 2*n - 47, 25 = -3*q + 5*n. Let h = 14 + q. Does 4 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 - -15. Let g(s) = -20627*s**2 - 8*s. Let n be g(c). What is n rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -37*o + 4*o + 19*o. Sort 5, o, -8, 3.\nAnswer: -8, o, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (18\/10 + -2)\/((-14)\/(-175)). Which is smaller: z or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/(-20) - (-1 + 2))*20?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -22*j + 2. Let n = -3 + -2. Let t(g) = 5 + 1 + 9*g - 7. What is n*s(d) - 12*t(d)?\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*h**2 - 160*h**2 + 79*h**2.\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4)\/p*p\/(((p*p\/(p**(3\/4)\/p))\/p)\/p))\/(p**0\/p)**33 assuming p is positive.\nAnswer: p**(115\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150711 + 150750 = -3*s + 3*v, 12 = -4*s - v for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(1\/15))**45 assuming d is positive.\nAnswer: d**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h + 3. Let y be l(-10). Let p = 15 + y. Suppose -11*x + 43 = 10. Solve -2*q - 22 = 3*z, -5*z + 3*q + x - p = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 + 7*p + 4. Let b be s(-7). Suppose b*j + 87 = -53. Let i = -25 - j. Is i at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4404)\/(-2) + -23 + 28. Suppose 0 = -3*c + i + j, -c + 0*i + 744 = -2*i. What is the hundreds digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10*(-7 + (-1630)\/(-25)). Let x = 588 - s. Let b(g) = g**2 - 8*g + 7. What is b(x)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -364987612*b**2 + 381009950?\nAnswer: -729975224*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x - 541 = 1331. What is the remainder when x is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13823 + 13822.99. Let r be (-6)\/8 - (4 - 5). What is the second smallest value in 2, -3\/2, j, r?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 2 = 2*r, 35*d - 34*d - 2 = 3*r for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4225 = -17*s + 4*s. Is 107974\/26 + 5\/s*-10 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.2673 and 0.15?\nAnswer: -0.190095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -61 + 2*h + 34 + 27. Let x(p) = 3*p - 4. Let b(w) = -2*w + 3. Let y = 7 + -3. Let o(n) = y*b(n) + 3*x(n). Determine -10*o(q) + 6*z(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l + 169*l**2 + 7*l**3 + 73*l**3 - 169*l**2. Let z(b) = -b + 7. Let n be z(6). Is 24 a factor of c(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 2. Let z be a(2). Suppose 7*i = 2*i. Suppose i = 3*c + c - 5*t - 75, 0 = -c + 5*t. Calculate the greatest common divisor of c and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*t + 31*t + 22*t + 24*t + 23*t - 5.\nAnswer: 3*t - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 g when two letters picked without replacement from izukg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4090, 4612, 5134, 5656, 6178?\n\"Answer: 522*u + 3568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 = -55*i - 21. Let x(f) = 1. Let s(t) = 1. Let q(w) = -4*w + 4. Let u(r) = q(r) - 3*s(r). Let z(o) = i*x(o) - u(o). Differentiate z(g) wrt g.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/(-8) - 3\/2. List the prime factors of (2 - l) + -4 + (-63)\/(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2945*d = 2937*d + 16 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -125 + 89. Suppose 14*z - 9*z = 6*q - 1, 5*q = 5*z + 5. Which is the second biggest value? (a) v (b) z (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - 19*v**2 - 30*v - 218. Let g be q(-18). Which is the nearest to g? (a) -5 (b) 399 (c) 0.2 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -470 or -485?\nAnswer: -485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 9.978 + -1.14\nAnswer: 8.838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -15803 - 691.2916263?\nAnswer: -16494.2916263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + -20. Let k = 16 - 31. Let w = c - k. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*n + 56. Suppose -25*v = -19*v - 48. Calculate the remainder when n is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -574*m**2 + 29 - 123*m**2 + 1657*m**2 + 18 - 501*m**2 in the form r + n*m**2 + j*m and give r.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56809443 and 213.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5 + 16)*(-8)\/4. Let y = -20 - l. Suppose -2*v = 3*u - 56, 4*v - y*u = -v + 102. What is the remainder when v is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 1:19 PM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 64007 to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 4*x - 168 = 0, -2*x - 15 = -4*j + 141. Let r(i) = i**3 + 6*i**2 - 2*i + 2. What is the remainder when j is divided by r(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 506147637 is divided by 37?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/6 - 1676*w**2\/3 - 5595*w\/2.\nAnswer: w*(w - 3357)*(w + 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + l + 5*l)*(l**3 - 3*l**3 - 9*l**3).\nAnswer: -44*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2629457, 5258915, 7888373, 10517831?\nAnswer: 13147289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 5*a + 13 = 0, -5*g - 43 = -8*g - 5*a. Suppose g*t - 63 = 693. Is 63 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -119 - -131. Let s = 49 + -26. What is the remainder when s is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-2)*6\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 6*j + 2. Let m be l(-1). What is the smallest value in -2\/7, m, 5\/6?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 11*c - 15. Let n(o) = 125*o**2 - 110*o + 385. Let b(m) = 9*m**2 - 8*m + 28. Let d(h) = 55*b(h) - 4*n(h). Give w(d(z)).\nAnswer: -55*z**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 7 = 3, 2*a - m - 10 = 0. Solve 2 = -a*y - 10 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0165 and -20994391.\nAnswer: -20994390.9835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -568*g + 575*g + 4*f + 44 = 0, -4*g = -3*f - 33 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 559587?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 15962 and -225399.\nAnswer: -209437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 2*g = -14, 0*w = -2*w + 5*g - 27. Suppose -8*q = -3*q, 5*l + 30 = -4*q. Let r be 3\/l + 2\/8. What is the closest to w in 1, -2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence esh when three letters picked without replacement from {a: 2, e: 1, q: 3, h: 3, l: 1, s: 1}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*p - 20 + 18 = 25 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66069, 132143, 198219, 264297, 330377, 396459, 462543?\nAnswer: 528629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 - 4*x + 2. Let o be 51\/(-12) - 3\/(-12). Let q be k(o). Solve h + 5 = q for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/3))**(-24)*(j**2)**6 assuming j is positive.\nAnswer: j**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52, 95, 166, 265, 392, 547, 730?\nAnswer: 941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(-6))\/(2\/(-6)). Let y(f) = -f**2 - 2*f + 1. Let w be y(i). Let l(o) = 1 + 2*o - 2 - 5*o - w. Calculate l(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 11\/35?\nAnswer: 11\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 223 = -17*p + 1141. Suppose p = 4*j + 7*t - 2*t, -4*t = 3*j - 41. What is the smallest common multiple of 206\/6 + (-12)\/(-18) and j?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 - (17 + -17 + 37)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - 6*p**2 + 6*p. Let h be o(5). Suppose 5*j + 5*x = 2*x, -4*j + h*x = -37. Let w = -50 + 52. Sort 1, j, w.\nAnswer: 1, w, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**2 + 5*q + 2. Let y be l(-4). Let i = 29 - y. What is the common denominator of i and 11\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 12, 0.3, 5, 0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35870 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 876653802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 6. Let g = f - -8. Let a = g + -6.000002. Round a to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*x - q = -33*x - 281, -713 = -5*x + q. Suppose -4*l = -4*h + 64, -3*h - 2*l - 22 + 70 = 0. What is the remainder when x is divided by h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 + -11. What is the highest common divisor of 70 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 - 42. Let u(y) = -14*y**3 - 13*y**2 - 4*y - 17. Let p(d) = 7*d**3 + 6*d**2 + 2*d + 8. Let k(o) = s*p(o) - 6*u(o). List the prime factors of k(-2).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -1\/4 (b) 81 (c) -5 (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1100096 and 1728?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 152*s + 33*s + 93*s + 3*s to the form t + m*s and give m.\nAnswer: 281","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*i = 208 - 1396 - 657 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 36 = -6*v. Calculate the remainder when 35 is divided by v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 - 1 = -7*a. Let f(l) = -2*l - 4. Let i be f(a). Is 9 smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10754000 rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -70 - -9407?\nAnswer: 9337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154941704?\nAnswer: 2, 47, 151, 2729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -t**5 + 5*t**4 + 5*t**3\/3 - 40*t**2 + 60*t - 11. Suppose d(q) = 0. Calculate q.\nAnswer: -2, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/15 of a minute?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 517 - 502. Solve 3*d - z*d + 48 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zizizzizzzizi. Give prob of sequence zii.\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 1441 = -2*x - 3*x, 3*t = 5*x + 1107. Is 17 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 36021212?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.01 - 2. Let t = a - 0.01. Put 0, -1\/3, t in decreasing order.\nAnswer: t, 0, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -38*w - 755. Let v be k(-20). Let a(x) be the first derivative of 12 + 0*x**2 + 0*x**4 - 1\/25*x**v + 0*x**3 + 0*x. Factor a(u).\nAnswer: -u**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-10)*5460\/390.\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + (-6 - -1) - ((16 - 7) + 35).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -68 + 69 + 18*g**2 - 16*g**2 - 2*g + 3*g**3 as b*g + q*g**3 + t*g**2 + s and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 66188090?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2187)\/(-405)*4\/(-3)?\nAnswer: -36\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*g + 2*g + g)*(-2*g**2 + 2*g**2 + g**2) + 0*g**2 + 0*g**2 - g**3 - 1153*g - 44*g**3 + 1153*g in the form y*g + q + m*g**3 + s*g**2 and give m.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -43 + 43 + 1 + 30\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1068.4 and -43.5.\nAnswer: 1024.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 239*p**2 - p + 1. Is y(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (10 + -43 + -8 - 10)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1059 and -0.769.\nAnswer: 1058.231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/5)\/((-2)\/(-5)). Let n(z) = 11*z**3 + z**2 - 12*z - 26. Let d(s) = 4*s**3 - 4*s - 9. Let h(a) = 8*d(a) - 3*n(a). What is h(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 13263049 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 529815 a multiple of 507?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -11898.\nAnswer: -1\/11898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tkmwqdt. Give prob of picking 2 t, 1 m, and 1 k.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-3) - 26\/3. Let q(p) be the first derivative of -p**2 - 12*p + 1. What are the prime factors of q(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32944153 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -557*c*g*w**3 - 2*c*g*w - 2*c*g + 17784*c*w**3 - 2*g*w**3 - 2633652*g*w**2 + 2 wrt w.\nAnswer: -3342*c*g + 106704*c - 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 1287176004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1617 - 1544 + 2832 + 8*k - 5*k - k.\nAnswer: 2*k - 329","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 + -8. List the prime factors of (2\/3)\/(q\/63).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18853 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3 and 350.\nAnswer: 349.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -539 or -159282\/295?\nAnswer: -159282\/295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1826 + -1673.45. Round n to the nearest 10.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16524 is divided by 472?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 5*p**2 - p + 5. What are the prime factors of x(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/609 and 18\/53851.\nAnswer: 4685037","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12182378*a**3 - 16370676*a**2?\nAnswer: -73094268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -9*c - 128. Let d = 96 + c. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1557\/27)\/(12\/14004)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 380 a factor of 44080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36 + -34. Let t = 0 - 0. Which is smaller: f or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 254.4 - 254.32931. Let b = -0.07 + s. Round b to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 242*g**3 - 20*g**2 - 7*g + 7. Let w(z) = -81*z**3 + 6*z**2 + 2*z - 2. Determine 2*k(b) + 7*w(b).\nAnswer: -83*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -11*l**3 + 17*l**2 + 56*l + 5. Give y(-3).\nAnswer: 287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 - -71. Let u = 326 - 161. Calculate the highest common factor of o and u.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o**3 - 14*o**2 + 16*o + 148. Let t be r(-6). Let z(x) = 13*x. Let p(q) = -40*q. Determine t*z(f) - 6*p(f).\nAnswer: -20*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 820, 858, 930, 1042, 1200, 1410, 1678, 2010?\nAnswer: 2412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 180250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7061273*m**4 + 239*m**2 + 83808 wrt m.\nAnswer: -169470552*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 11:44 PM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -35*x**3 + 4*x + 3. Let r be g(-2). Suppose -5*b - 235 = -2*c, 142*c = 144*c + 4*b - 208. Calculate the greatest common factor of c and r.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -2*k + 15*u - 19*u, 3*u = -3*k - 12 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -129*r + 2 + 120*r - 469*r in the form b*r + y and give b.\nAnswer: -478","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/5)*q\/q**(-7))**(1\/22) assuming q is positive.\nAnswer: q**(19\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**5 - 4*k**4 + 8*k**3 + 8*k**2 - 4*k - 4.\nAnswer: -4*(k - 1)**2*(k + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of 706 - 5*i + i**2 - 694 + 4*i + 0*i. Determine y(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3187 - 1266 = -427*q - 2776 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -289 + 619 = 55*q. Solve q*f = -44 + 56 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1378.668 months?\nAnswer: 114.889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 22775444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -24, -3, -2, 4 in increasing order.\nAnswer: -24, -3, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*b + 20*b - 50*b to u + m*b and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3\/2))**(-25)\/(((d**(1\/14)*d)\/d)\/d**(2\/13)) assuming d is positive.\nAnswer: d**(3420\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/31470 and -0.2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6 - -8)\/(-2 + 0). Let a be 36*(h - (-130)\/(-8)). List the prime factors of 4\/22 + a\/(-33).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24980 or 378?\nAnswer: 378","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -4*v**3 + 5*v**2 - 3*v + 11. Let x(g) = 2*g**3 - 3*g**2 + g - 6. Suppose 57*w + 78*w = 405. Calculate w*t(y) + 5*x(y).\nAnswer: -2*y**3 - 4*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3296 or -42843\/13?\nAnswer: -42843\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -5*s + 1227. Is 252 at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by 32?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of j + 651125 - 232*j**2 + 1225*j**2 - j - 652346 wrt j.\nAnswer: 1986*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of -19*d**7\/70 - 59*d**4\/24 + 2*d**2 + 10. Find the second derivative of u(z) wrt z.\nAnswer: -684*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*n - 99*n**3 + 7*n + (-2 - 1 - 3)*(-3*n**3 + n**3 + 3*n**3) to m*n**2 + w*n**3 + r + u*n and give w.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/5*k**4 + 256\/5*k**3 + 1056*k**2 + 27200 + 8960*k.\nAnswer: 4*(k + 10)**3*(k + 34)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 - 28. Let w be 0*(3\/9 - 0). Suppose 5*y = 2*o + 15, 0 = o + o + 5*y + 5. Put o, u, w in decreasing order.\nAnswer: w, u, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3655342 + 36?\nAnswer: 3655411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 4445 (b) 0.1 (c) 2 (d) -3\/4 (e) 14\/3 (f) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2901914 and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-1\/4))**(-2\/17) assuming n is positive.\nAnswer: n**(-5\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, n: 7, f: 1, y: 2, e: 2, g: 4}. Give prob of picking 2 k, 1 g, and 1 e.\nAnswer: 16\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -30 and -603 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -8*k + 7*k - 58, -i + 260 = -4*k. Let b be (-3)\/12 + 765\/(-12). Let y = k - b. Let s(m) = m**2 - m + 2. Determine s(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*i**2 + 38*i**2 + 4*i**3.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-3*(sqrt(132) + 5*sqrt(132)*1))\/(-1*-2*sqrt(972) - ((sqrt(972) - -2*-2*sqrt(972)) + sqrt(972)))*2.\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s. Let n(p) = 12*p - 82. Give n(d(a)).\nAnswer: 12*a - 82","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifteenth of a decade?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23436 divided by -1953.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/307 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 13 = g - 2*y, -5*y = -4*g + 31 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 4 = 2*f, 3*r + 3*f - 1 - 23 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -94 - -139. Let c = l - 32. Calculate the remainder when 35 is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-76)\/(-6) + (-1)\/((-3)\/(-2)). Suppose 0*i = -i + 5*n + g, -3*i + n = 6. Let u(q) = 2*q**2 - 3. Determine u(i).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n**2 + 4*n**2 + 0*n**2)*(-6*n + 2*n + 3*n) + (-n + 2*n**2 + n)*(-7*n + 22 - 42 + 24).\nAnswer: -13*n**3 + 8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 9, b: 9}. What is prob of sequence jj?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6559143?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -4*j + 7. Is u(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**3 - 12*n**3 + n**3 + 4*n**3.\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of -x**2\/2 - x - 3. Let n be -10*(20\/(-8) + 3). What is the units digit of u(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -7, 7, 4.\nAnswer: -7, -5, -2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q**3 - 26*q**2 + 13*q + 173. What is the lowest common multiple of 482 and a(-13)?\nAnswer: 964","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2 + 12145*b + 848980.\nAnswer: -5*(b - 2497)*(b + 68)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 448\/(-4)*(5 + -4). Let m = -786\/7 - l. Let p = 0.046 + -4.046. Sort 0.1, p, m in increasing order.\nAnswer: p, m, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 76*(-5)\/60*-3. Suppose 4*k + 7 = x. Let w be k\/(8\/((-64)\/12)). Which is the closest to 4\/7? (a) w (b) -3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 50238862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*m = -12680 + 46619. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1829, -3657, -5485, -7313?\n\"Answer: -1828*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1516*s + 499*s - 1659*s - 1490*s)*(-2 + 3 + 1) to a + w*s and give w.\nAnswer: -8332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 56\/40 - (125\/250)\/((-5)\/(-94))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -107 - -102. Let l(f) = 4*f + 2. What is l(h)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72 divided by 72.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7073229152.\nAnswer: 2, 11, 20094401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*n = -20*n + 60. Is n even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-11) + 96\/165. Let t = 4.293 + -0.293. Let d = 2 - 1.8. Which is the closest to 2\/3? (a) d (b) g (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 750 + -2221\/3. Find the common denominator of -1\/27 and o.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/2700 and -35\/36.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 26000762 a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4425849 and 423.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 4 - (22 + -18)) + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7552914371 to the power of 1\/3, to the nearest integer?\nAnswer: 1962","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -180*m*r*z - 114*m*v + m + r*v*z**2 - 2*r*v*z - 2*v - 2*z**2 wrt v?\nAnswer: -114*m + r*z**2 - 2*r*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 64\/5 (b) -1.4 (c) -3\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -4*o - 15. Let t be m(-5). Suppose -q + 18 = 5*q. Let a(d) = d + 8. Let h be a(-6). Solve -2*k - r = t, -h*r - r - q = 3*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3392752, 2\/11, 3\/2, -2\/3 in decreasing order.\nAnswer: 3392752, 3\/2, 2\/11, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 107667\/252 - (-2)\/8*-1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 t when two letters picked without replacement from {t: 15, e: 4}?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 5 - 1, -3*f = -3*p - 204. Let h = 150 + p. Calculate the highest common divisor of 24 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 222264303.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - -6) + ((-8)\/(-20))\/((-5)\/(-25))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*o + 2*o + 4*o)*(-6*o + 4*o + 4*o)*(11 + 1 + 1)*(o + o - 4*o) to the form r*o + g*o**3 + u*o**2 + q and give g.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205 is divided by 85.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 364183 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3257 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.81 + -1.81. Put z, 3, -13, 0.5 in decreasing order.\nAnswer: 3, 0.5, z, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2689542?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 394 - (35\/7 - 5)?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 159 - 150. Let p = c + -8.9. What is the closest to p in 0.3, 3, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -14, -1, 0.218?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -45727\/16 + 2856. Find the common denominator of 77\/8 and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27837 by 319.\nAnswer: 27837\/319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25914035.\nAnswer: 5, 7, 17, 97, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t*t**(1\/6))\/t))**24*t**(-13)*t\/(t\/((t\/(t\/t**(-2\/31)))\/t)))**36 assuming t is positive.\nAnswer: t**(6624\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 22485736.7.\nAnswer: -11242868.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 8*a + 48. Is 34494\/24 - (-3)\/a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/16*(128\/10)\/(-4)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4652 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-20) - 3\/30*-2. Let l be (-3 - -2) + (-22)\/(-12). Put -4, l, n in decreasing order.\nAnswer: l, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 25600.8 or -1\/3?\nAnswer: 25600.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1326469768 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 prob of picking 3 e and 1 t when four letters picked without replacement from etttettttte?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13225 divided by -5.\nAnswer: 2645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 446 - 171. Suppose h + 4*h - 5*k = 325, -4*h + k + x = 0. Suppose -y + h = y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6091411?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 3. Let w(u) = -8*u**2 + 20. Let f be (6 + 0)\/((-30)\/(-20)) - 1. Suppose -10 = -7*d - f. Let z be 2\/d*9\/(-18)*3. Determine z*w(n) - 20*b(n).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 + -5 + 210\/15. Suppose -3238 = -w*g + 1642. What is the hundreds digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**3 + 8634*y**2 - 578426*y + 569790 = 0. Calculate y.\nAnswer: -4383, 1, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uz when two letters picked without replacement from {i: 1, n: 1, z: 1, u: 1, s: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of -f**4\/6 - f**2 - 12*f. Let m(n) = -4*n**2 + 2 + 0 - 7. What is 2*m(t) - 5*r(t)?\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101010001100101011011 - -11?\nAnswer: -101010001100101011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 270783?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3*a - 22. Determine k(25).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - 4785\/315 - (-2)\/(-21).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a**3*k + 13634*a**3 + 645*a**2*k + k with respect to k.\nAnswer: 2*a**3 + 645*a**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9376 and 130542048.\nAnswer: 130542048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*r = 2*s - 45995, 4*r - 9177 = -s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 + 4*o + 7. Calculate the remainder when 59 is divided by f(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5*(-8 - 10912\/(-1360)). Let j = -14 + 5. Let r = -6 - j. Which is the closest to 0? (a) q (b) r (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from tggttggtgtgg.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**2 + 2*k**2 + 0*k**2 + 2*k - 2*k + k**2 + (2*k - k - 3*k)*(-3 + 3 + 2*k) - 2*k**2 - 3*k + 3*k - 2*k**2 + k - k + (4 - 8*k - 4)*(-k + 2*k + k).\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 3, 2 in decreasing order.\nAnswer: 3, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o + 4*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3883918?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 315 + 2?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35 + 62. Suppose s*q = 22*q + 80. Solve b = -3*b - q for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-228)\/171*1\/6?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50, -87, -118, -137, -138, -115?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*f = 27*f + 24. Suppose -f*b - 11*b + 34 = 0. Solve 5*x = -2*l + 5, 4*l + 0*x + 2*x = b for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 3*r**2 + 6*r + 5. Let s(a) = 13*a**2 + 24*a + 20. Let n(k) = -9*c(k) + 2*s(k). Let g be n(-7). Let o be (-12)\/(-16)*2\/g. Is o bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36 + -49. Let q = n - -15. Suppose 0 = -q*j + 1133 + 41. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gjgj when four letters picked without replacement from {j: 2, g: 2, l: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 198*u + 3. Let p(r) = -2*r. What is m(p(q))?\nAnswer: -396*q + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 36*d - 197. What is the tens digit of h(41)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -520 - -103860.\nAnswer: 103340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1729*w**2 - 864?\nAnswer: 3458*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1422787 + 0.14309. Round v to 5 decimal places.\nAnswer: 0.00081","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155362 is divided by 323?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/400 and 117\/1256750.\nAnswer: 10054000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 399812 and 3799?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/12 and 1\/39.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -145 times 381?\nAnswer: -55245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28 - 30. Find the common denominator of 53\/10 and k + 79\/2 + -2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1962*t - 1780*t - 2552*t.\nAnswer: -6294*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*d**3 + 11*d + 14*d + 11*d - 36*d.\nAnswer: -16*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*p + 13*p + 350 = 0 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25407?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.05121 and -4?\nAnswer: -0.20484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 73 + -69. Suppose 5*n - 163 = p*v, 5*v + 90 = 2*n + n. Calculate the remainder when n is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.151 times -0.152158?\nAnswer: 0.022975858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 14040 (base 5) to base 12\nAnswer: 7b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/10)\/((-2)\/(-25)). Let x(n) = -n**3 + 9*n**2 + 10*n - 3. Let m be x(f). What is the common denominator of (m\/7)\/(6\/(-80)) and 59\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i - 3. Let c be z(3). Let r be (-8)\/(-4 + 2 - c). Solve -2*y = 5*u, 9 = y - r*u + 2*u for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/9 + 4\/(-6). Suppose b = m - 6*m + 10. Find i, given that 2*i**2 + m*i**2 - 3*i + 3*i**3 - 4*i**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, k: 1, i: 5, m: 4, a: 1}. What is prob of sequence ak?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9\/11 - 23\/55. Let p = 0.2 - -0.8. What is the second smallest value in -2\/13, p, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -8\/3715701 (c) -4 (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 985688 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 677 - 682. Let i = -28\/15 + 151\/105. Which is the second biggest value? (a) i (b) -2\/9 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = -3*m - 18, -4136*m + 22*g = -4134*m - 60 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 5. Let k be i - 3 - (3 + 125). What is the common denominator of -93\/8 and (-1)\/(6 + -1)*k\/(-6)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from 16223525968.\nAnswer: 16223525967.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.0099382 nanoseconds in days?\nAnswer: 0.0000000000001621520625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = j + 3*x, -j + 4 + 4 = -4*x. Suppose r + 3*p - 2*p - 13 = 0, -3*p = r - 9. What is the remainder when r is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -10. Let m = -8.7 - -21.1. Let u = a - m. What is u rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 8*m = -33. Suppose -t = -y + t + 20, -m*t = y - 5. Let u(n) = n + 83. Calculate the remainder when u(0) is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hb when two letters picked without replacement from hhhbbhnnnhhbhb?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2815 is divided by 64?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, j: 2, t: 2, o: 2}. What is prob of picking 1 t, 1 g, and 2 j?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, v: 1, b: 2, f: 1}. Give prob of picking 1 v and 1 b.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 6*m**2. Let q(s) be the first derivative of -s**5\/15 + 4*s**2 + 8. Let j(x) be the second derivative of q(x). Calculate p(j(i)).\nAnswer: 96*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4725)\/83160*(-48)\/5?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of 5*h**2\/2 + 1. Let c(i) = 6*i**2 + 10*i + 10. Let m(w) = 4*w**2 + 8*w + 8. Let j(u) = -4*c(u) + 5*m(u). Give s(j(b)).\nAnswer: -20*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*l*x**3*z**5 + 32*l*x**3 - l*x - 4*l*z**2 - x**3*z + 3*x**2*z - 130*z**3 + 1 wrt z.\nAnswer: -200*l*x**3*z**3 - 8*l - 780*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23101 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -131*d - 613*d**2 - 2 + 122*d + 19*d**3 + 618*d**2. Let l(v) = -10*v**3 - 2*v**2 + 4*v + 1. Calculate -2*c(x) - 5*l(x).\nAnswer: 12*x**3 - 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 27 - 63 + 6*p + 31 - 156. Let w be a(23). Sort -2, 3, w in decreasing order.\nAnswer: 3, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 429 and 312.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 48\/(-20) + (3 - 1). Suppose -j = -4*j - 3. What is the nearest to -0.2 in m, 3, j?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 348296557.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f*o**3*s**3 - 254*f*o**3 - 3*f*o*s**2 - 4*f*o - f*s**2 - 80*o*s**4 + 116*s**4 wrt s?\nAnswer: -6*f*o**3 - 1920*o*s + 2784*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0363 minus 51.96?\nAnswer: -51.9237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 275722729?\nAnswer: 173, 1593773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*w**6 + 6*w**2 - 12*w**2 + 4*w**3 - 4*w**3 wrt w?\nAnswer: -240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8319 is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from phzdtpz. Give prob of sequence dhp.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-375*f**2 + 51*f**2 + 71*f**2)*(-3 + 2*f + 3).\nAnswer: -506*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + -2)*3\/(-15). What is the nearest to 1 in c, -3, 0.04?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*((-1124)\/(-15) + 12\/30). What is the common denominator of -133\/18 and -1 + -1 + 2 + l\/(-28)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 54a?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7709?\nAnswer: 13, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 + 21. Let s be m - 3 - (5 - 5). Suppose 59 = s*x + 5. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 2, -0.2, -1282.42?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 113403640 and 294?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d = 7*d + 10*d + 306 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42874 and 5147974?\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**8)**(-36))**(10\/7))**(8\/11) assuming i is positive.\nAnswer: i**(-25920\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 1:58 AM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -3*o**5\/8 + 3*o**4\/8 + 9*o**3\/8 - 3*o**2\/8 - 3*o\/4 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2711*n. Let o(c) = -98*c. Let q(u) = 18*u. Let p(l) = 2*o(l) + 11*q(l). What is g(p(z))?\nAnswer: 5422*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -222 - -142. Suppose 5*y + 181 = -2*x, x + 5*y - 21 = -119. Let b = f - x. Solve 25 = -3*o + i - b*i, -2*i - 35 = 5*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 718 = -9*q, 4*p = -2*q + 107 + 61. Calculate the greatest common factor of 15 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-16*26\/(-1040))\/(4\/(-10)). Let t(j) = -3*j**3 + 2*j + 2. Calculate t(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(-24\/11)*f**(-7)*f**13\/(f**10*f) assuming f is positive.\nAnswer: f**(-68\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.2 - -7.2. Let f = 1 - t. Which is the nearest to 1? (a) 1 (b) f (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2172 + 10980. Let t = d - 15112. Let v = t - -37933\/6. Find the common denominator of -67\/6 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/64 and -67\/12777952.\nAnswer: 25555904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 5*w**2 + 111*w + 13. Let y(o) = -4*o**2 - 112*o - 8. Determine -2*f(x) - 3*y(x).\nAnswer: 2*x**2 + 114*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -v + 17. Let t(c) = 7 - v - c + 2*c. Let w be t(5). Let n(l) = -7*l - 7. Let j(h) = 6*h + 6. Calculate w*j(u) - 5*n(u).\nAnswer: -u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -7*o - 5 + 19 + 25 + 35. Let q be t(10). Sort 1, q, 9, 5 in decreasing order.\nAnswer: 9, 5, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 1 + 3. Let g(h) = 9*h**2 - 63*h - 4. Let v be g(7). What is the closest to 1 in 5, v, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 43553 and 14817.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (25 - 29) + 12\/2. Solve -q*o = -4*m - 14, 2*m - o - o + 6 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - p + 1. Let b(z) = 5*z**3 + 5*z**2 + 5*z - 3. Let v(f) = -b(f) - 6*n(f). Let u be v(5). Solve x = u, -t + 4*x + 2 = t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -1, 1, -16, -299 in decreasing order.\nAnswer: 25, 1, -1, -16, -299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 720 = 19*f + 283. What is the remainder when f is divided by 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172 - 2*h - 3*h + 2*h.\nAnswer: -3*h - 172","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 294842758 to the nearest integer?\nAnswer: 17171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24835*m - 6275*m - 6282*m - 6284*m - 5998*m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 - -23. Let o be f*2 - 510\/(-15). Let u(l) = l**3 - 8*l**2 + 7*l + 3. Let k be u(7). Solve -k*t = 2*t + 4*i + o, -3*i = 12 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-16)\/(-136) + (-224)\/(-119). Find r, given that -1\/6*r**5 - 1\/6*r**u + 1\/6*r**4 + 1\/2*r**3 - 1\/3*r + 0 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1495 + -2667. Let k = -742 - n. What are the prime factors of k?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1003*f**3 - 2*f - 381?\nAnswer: -6018*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -47\/37 (c) -6.98\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -147, 5, 0, -5, -10, -2 in ascending order.\nAnswer: -147, -10, -5, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/687 - -1607\/1374. Is 1 at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z + 8. Let q be b(12). Let u(m) = 2*m - 1. Calculate u(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8 - 1)*((-2)\/(-7) - 0). Solve 3*h = d*h + 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 325 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16.772 + 17. Let q = l - 0.028. Which is the biggest value? (a) -1 (b) -9\/2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -1.91.\nAnswer: -9.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 94172 to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -23*o**3 - 547*o**2 + 126*o + 161. Determine v(-24).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14990001133 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 at least as big as 24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/1554, 3\/2641, 0.1.\nAnswer: 1\/1554, 3\/2641, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 + -4. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-4))\/((-2970)\/528).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 4*n**3 - 9*n**2 - 17*n + 11. Calculate k(5).\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/14*-7*33*18\/396.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40 - 6)*19\/(152\/16).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -6, 3, 0, -5.\nAnswer: -26, -6, -5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 102 and -0.3803.\nAnswer: -38.7906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - o = 3. Let i be (-7)\/(-3) + o\/(-9). Find the second derivative of 6*x**2 + 2*x - x**i - 3*x**2 wrt x.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and 6867664770.\nAnswer: 6867664770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -5*a - 2. Let v(j) = -9 + 10 + j + j. Determine -4*h(u) - 9*v(u).\nAnswer: 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (3 - (0 - 4) - 4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q + 2*q - 4*q**2 + 2*q.\nAnswer: -4*q**2 + 6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6082 divided by 3041?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (16\/(-5))\/(-2 - (-252180)\/126100)?\nAnswer: 2, 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a3 (base 15) to base 4.\nAnswer: 2121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 20 = k, 5*s + 36 = -12*k + 28 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - t = -41136, 6*b - 3*b + 5*t = 30835. Suppose r + 5*j + 285 - 2354 = 0, -b = -5*r + 5*j. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -7. Suppose 48 = k*w - w. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6552 + -6546. Let g(s) be the second derivative of 7\/33*s**3 + 19*s - 2\/11*s**2 + 0 + 1\/55*s**5 - 4\/33*s**4 - 1\/231*s**7 + 2\/165*s**f. Factor g(p).\nAnswer: -2*(p - 1)**4*(p + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28257, 28253, 28249, 28245?\nAnswer: 28241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 10*v - 9*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54044 by 14.\nAnswer: -27022\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -12*u - 1. Let x(n) = 4*n. What is x(o(b))?\nAnswer: -48*b - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -245 + 250. Let a(o) be the second derivative of -1\/12*o**4 + o**2 + 0 + 1\/6*o**3 - q*o. Suppose a(i) = 0. Calculate i.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 1 = -4*r. Is (-9 + 275)\/(r - -1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 112*u + 220 + 348 + 888 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((7104\/(-185))\/16)\/((12\/(-15))\/(-2))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8688.299 nanograms in grams?\nAnswer: 0.000008688299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-2)\/((k*k**(2\/5)*k)\/k*k)*(k\/(k*k**(-9))*k)\/k**(-1\/6) assuming k is positive.\nAnswer: k**(173\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrmrmrrrrrmrr. What is prob of sequence mmm?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 take away -744702622?\nAnswer: 744702789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 43.5? (a) 9 (b) -21\/25 (c) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 325587 is divided by 607?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 k, and 1 e when three letters picked without replacement from {m: 2, k: 7, e: 5}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1857*w**3 + w**2 - w**2.\nAnswer: -1857*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1016 - 1045. Which is smaller: -3\/22 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -3. Let k = s + 0. Let y = 93 + -72. What is the highest common factor of k and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.5 (b) -1\/4 (c) -5 (d) -10.57 (e) 1.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111 - -110010011101?\nAnswer: 110010101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*y**3 + 5*y**3 - 6*y**3)*(2 - 1 - 4).\nAnswer: 24*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 3)*(-2*t + 2*t - t)*((-4 + 3 - 1)*(2 - 4 + 1) + 6 - 7 - 13).\nAnswer: 12*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -130 + 138. Suppose c = k + 4*o, o + 72 = 5*k + 5*o. Sort 0, k, -2 in ascending order.\nAnswer: -2, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 35 = -0*c. Suppose -5*p = 5*y - 0*p - c, 2*y - 3*p + 1 = 0. Find the second derivative of y*w**2 - 6*w + 2*w + 3*w**2 - w wrt w.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -73601 divided by 4\nAnswer: -73601\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (1 - (-6)\/(-2))*2320\/(-32)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of -w**6\/20 - 7*w**5\/30 + 4*w**3\/3 - w**2. Factor q(p).\nAnswer: -2*(p + 1)*(p + 2)*(3*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*x**3 + 91*x**3 - 484 - 15*x - 185*x**3 - 3048.\nAnswer: 2*x**3 - 15*x - 3532","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 5. Suppose 0 = -48*v - 22 + 166. Which is greater: z or v?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -12*c + 2. Let w be l(1). Suppose -q + 4 + 6 = 0. Let j = q + w. Solve 0 = -j*v + v + 2*x - 6, 12 = 4*v + 4*x for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5c (base 14) in base 8?\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 plus 1.808911?\nAnswer: 0.808911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = b + 4*d, b + b = 3*d - 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2881 and 201.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -1, 0.76, -4.\nAnswer: -4, -1, 2\/9, 0.76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -767, -3011, -6751, -11987, -18719, -26947?\n\"Answer: -748*j**2 - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 514778?\nAnswer: 2, 11, 23399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3069\/124*((-1656)\/253 - -12)\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10\/(-6))\/((-2)\/6). Let q(y) = y**3 + y**2 - 5*y + 3. Let u be q(2). Solve -3*a = i*o - o + 9, u*a - 11 = 2*o for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xnhtz. What is prob of sequence xhz?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (70\/(-882))\/(30\/36)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.599547 rounded to two dps?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215 = -3*b - 118 - 118 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 79835427 > 79835427?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12822 = 15*s - 5238. Suppose 0 = -q + s + 5156. Let c = -4513 + q. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 222, 437, 650, 861, 1070?\nAnswer: 1277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (z**3 + 5*z**2 - 5*z**2)*(z - 3*z + 0*z)*(-4 + 1 + 2) in the form s*z + r*z**2 + t*z**4 + a + w*z**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 34603390 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 + 9568?\nAnswer: 956f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*y = 166*y - 1200 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -3222 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11318 - 2?\nAnswer: -11321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.466 - 0.287. Let s = 37.479 - o. Let f = -37.2837 + s. Round f to three decimal places.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4428, 0.2, 1, 2\/17, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14702401.9 less than 0.03?\nAnswer: -14702401.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 0*y + 0*y)*(-56 + 80 + 19).\nAnswer: -86*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 30031.83 millilitres in litres?\nAnswer: 30.03183","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 685650 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of w**5\/60 + 7*w**4\/24 + w**3\/6 + 4*w**2. What are the prime factors of d(-9)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.3 * 6165.23.\nAnswer: -8014.799","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(12\/7)*w**(-2\/9)*w)\/(w**(-21)\/(w**3*w*w)) assuming w is positive.\nAnswer: w**(1858\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9642 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11549\/7 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -150 - -34. Let d = 59 - s. List the prime factors of d.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 855, 809, 735, 633, 503, 345?\n\"Answer: -14*p**2 - 4*p + 873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 21*a**2 - 4*a - 3. Let x = -1 + -1. Let n be d(x). Suppose -r = -2*r + n. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 4:43 PM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of -13*z**6\/180 - 19*z**5\/90 - z**4\/6 + 44*z**2 - 6*z - 1. Factor j(r).\nAnswer: -2*r*(r + 1)*(13*r + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -66 + 69. Let g(b) = -b + 3. Let n be g(3). Suppose n*t = 4*t - 16. Solve 3*h + t = -5*c, 0 = 4*h + 7*c - i*c for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 0 + -1 + 11 + -14 + 5\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v - 5. Let x be r(7). Suppose 3*j - 235 = -x*j. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**3\/6 - 1657*z**2\/6 + 24907*z\/2 - 69741\/2 = 0. What is z?\nAnswer: -1701, 3, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120)\/sqrt(4))\/sqrt(10) + sqrt(3))*6.\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 30*l - 109. Let k(o) = -o**2 + 18*o - 54. Determine 3*d(v) - 5*k(v).\nAnswer: 5*v**2 - 57","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 6, l: 4, g: 3, y: 6}. What is prob of picking 1 o and 2 y?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/3 in 0.4, -8, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(99)\/(sqrt(9) - sqrt(144))).\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -400 - -395. Let p = -237 - -237.4. Put n, p, -1 in decreasing order.\nAnswer: p, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 14 = -9. What is the greatest common factor of j and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10681678*c*v**2*y**3 + 2*c*v**2*y - 10602017*c*v*y**2 - 2*v*y**3 wrt v?\nAnswer: 21363356*c*y**3 + 4*c*y","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-389 + 12 - 12)*(5*v - 2*v - 2*v).\nAnswer: -389*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of -40295*x**2 + 14*x - 32. Let p be i(6). Let m = p - -323526. What is m rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11817209?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -322776, -322768, -322746, -322704, -322636, -322536?\nAnswer: -322398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/11 greater than 5\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1489, 3124, 4975, 7168, 9829, 13084, 17059, 21880?\nAnswer: 27673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10985*v**5\/4 + 24505*v**4\/4 + 8125*v**3\/2 + 1465*v**2\/2 + 205*v\/4 + 5\/4 = 0. What is v?\nAnswer: -1, -1\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 - -3. What is the highest common factor of d and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 824542?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1513412 rounded to the nearest ten thousand?\nAnswer: -1510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from bmrrhhmrmrmrrrr.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4345 and 86495?\nAnswer: 75164155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x = 2*x + 16. Find the second derivative of 4*r**3 - 6*r**x + 30*r + 18*r - 5*r**2 - 6*r wrt r.\nAnswer: 24*r - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from txtztzthythpztz. What is prob of sequence zztt?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - 9*d**2 + 4. Let n be q(9). Find the second derivative of -a**4 + 11*a**4 + 7*a - 9*a**n wrt a.\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -295 divided by -59\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -625234 by -1.\nAnswer: 625234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1599 and 1964.\nAnswer: 3140436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*((-8)\/(-3))\/(-8).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 998 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 526.\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -11*o - 10. Let p(y) = 4*y + 3. What is 2*a(f) + 7*p(f)?\nAnswer: 6*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.9766 to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -n**8\/840 - n**4\/24 - n**3 + 3. Let k(g) be the third derivative of h(g). What is the first derivative of k(y) wrt y?\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 342167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.5 or -867.501?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of x**8\/336 - x**7\/168 - x**6\/72 + x**5\/24 - x**3 + 4. Let g(i) be the third derivative of f(i). Determine n so that g(n) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -1033344?\nAnswer: 1033341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 387 + -491. Let p = 101.85226 + 2.20474. Let o = k + p. Round o to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 f when four letters picked without replacement from {f: 9, z: 3}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 29905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/3, -1\/3, -1734740, -4?\nAnswer: -1734740","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + 8)\/(2 - 2979\/1494). Suppose -13*n = -c - 794. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/111 and -137\/12?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8729925 is divided by 4173.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k**2. Let s(y) = 11*y**2 - 9. Let b = -1 - -5. Let j(g) = 3*g**2 - 2. Let p(m) = b*s(m) - 18*j(m). Determine p(u(o)).\nAnswer: -90*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 19404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 874485537 to the nearest integer?\nAnswer: 956","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32446774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 8181 = 2*t - 1937, 2*k + 5*t - 4022 = 0. List the prime factors of k.\nAnswer: 2, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20965 is divided by 66.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.57015ml in litres?\nAnswer: 0.02657015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.5 + 0.5. Let y = g - 6. What is the third biggest value in y, 0, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65.8 + 27\nAnswer: -38.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -0.7. Let k be 7 + (-304)\/44 - 0. Which is greater: k or a?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 15 + 45 = 0. Let h(p) = p + 4. Let t be h(n). Let z be (-8 + t)\/(1\/(-5)). What is the greatest common divisor of 125 and z?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38889?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/7 (b) -4\/103 (c) 84555 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of -3881*f**6\/6 + 6*f**2 - 20*f - 3090. What is the second derivative of o(l) wrt l?\nAnswer: -77620*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 11 - -84?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 22.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 6 + 4)*(23 - 25 - q - q)*(-4*q + 0 + 0).\nAnswer: 88*q**2 + 88*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 1)*((1 + d - 1)*(1 + 0 + 2) + 1 + 2*d - 1 + (2*d - 4 + 4)*(-1 + 2 - 2) + 2 - 2 - d - 33*d - 2*d - 19*d).\nAnswer: -156*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 54037652?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 187\/4 + 7\/28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4228 (base 9) to base 5\nAnswer: -44404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + -14.55. Let g = 0.05 + m. Let a = -2420 - -2417. Sort -14, a, g in ascending order.\nAnswer: -14, a, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 + -18. Let b = -18 - -31. Let i = b - y. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6101299?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143\/39*150\/10 is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v\/((v**(1\/5)\/v*v)\/v))*v)*v*v\/v**(1\/4)*v*v**(-1\/10)*v\/v**(-2\/3))**50 assuming v is positive.\nAnswer: v**(1535\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/9)\/(((-399)\/57)\/(1*-14)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -5 - 1. Suppose t*r = -2*m + 5*m - 12, 0 = 3*m - 5*r - 21. What is the lowest common multiple of m and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of j**4\/8 + 5*j**3\/6 - 3*j**2. Let c = 46 + -51. Determine p(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-2\/7)*a*a**(-2\/9)\/a*a*a\/a**(-1\/15)*a\/a**(1\/4)*a assuming a is positive.\nAnswer: a**(4169\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-22)\/(-3))\/(16\/(-24)). Let u = -3 + f. What is the lowest common multiple of (21\/u)\/((-3)\/16) and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**2 - 52. Let a(j) = -13*j + 75. Let r(q) = -7*q + 45. Let b(h) = -3*a(h) + 5*r(h). What is n(b(l))?\nAnswer: -32*l**2 - 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40970987?\nAnswer: 40970987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Solve -325*z + 54*z - 20362 = -9*z - 974 for z.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000110110101110101011 + -10?\nAnswer: -1000110110101110101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 3)*(-9)\/270\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 6 = -z, -5*z + 23 = -6*a + 3*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1669\/6 not equal to 1\/811?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-6)\/4)\/((-24)\/11) and 387\/(-90) + -3 + 8.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-150)\/(-20))\/(-15)*-16?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 496?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52 and 20033702.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 5, 0, -560, 2, -4 in descending order.\nAnswer: 11, 5, 2, 0, -4, -560","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 16*v. Let k(d) = -6*d**2 - 4*d. Calculate k(j(a)).\nAnswer: -1536*a**2 - 64*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 4*b - 297, 3*b = -2*u + 5*b + 108. Let v = u - 40. Solve -3*o = -5*h - 4*o + v, 4*h + 2*o = 10 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -71 + -2. Let f = c + 75. Suppose -n - 3*n = 12. Sort f, -0.3, n in decreasing order.\nAnswer: f, -0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -76619*d**2*i**3 - d**2*i**2 + 110*d**2 - 14*d*i + 298*d + 5*i**3 wrt i?\nAnswer: -459714*d**2*i - 2*d**2 + 30*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(192) - (1 + sqrt(192)))*-3 + (sqrt(192) - (-1 + sqrt(192))*-3))*6 - (-2*sqrt(192) + 4 + -2)*-1)**2.\nAnswer: 704*sqrt(3) + 92932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of -3*l**2 + 2 + 1\/3*l**3 + 3*l. Suppose -5*w = 9*w - 42. Give n(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 20, 2, 6, 7, -8, 46 in descending order.\nAnswer: 46, 20, 7, 6, 2, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 54609350?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/72*4\/(-6). Let n be (-3)\/(63*(-1)\/2). Which is the nearest to -1? (a) 1\/9 (b) n (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.4 - -5. Let s = -3.82 - 0.18. What is the third biggest value in a, s, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 182*i + 9372*i**2 - 182*i.\nAnswer: 9372*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-18) + (-24990)\/27. Let h = z + 1421. What are the prime factors of h?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-988)\/728 - (-5)\/(105\/18)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3198504*s**3 - 2*s**2 + 6197*s - 94 wrt s?\nAnswer: 19191024*s - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, 2\/15, -74, -5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1063586 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*x + 4*x + 3*x)*(1 - 5 + 3 + 1 - 1 + 1 + (-1 - 4 + 3)*(1 - 3 + 4) - 3 - 1 + 3) in the form k*x + d and give k.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000333181661 to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5836, 47000, 158722, 376282, 734960?\n\"Answer: 5880*b**3 - b**2 + 7*b - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4 - 0.3. Let v be -5 + ((-664)\/(-224))\/(4\/7). Which is the biggest value? (a) -1\/7 (b) v (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -239341, -478674, -718007, -957340, -1196673?\n\"Answer: -239333*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2388 - 8*n**2 - 2388.\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-110)\/(-8) - (-3)\/(-4). Let u = b - 13. Solve -a + 1 + u = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of 4*f**3\/3 - 7*f**2\/2 + 11*f + 28. Let t(n) be the first derivative of l(n). What is the derivative of t(d) wrt d?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**2 - 5*w + 2. Suppose -h - 14 = -4*a - 2*h, 0 = 4*a - 2*h - 20. Calculate the remainder when 25 is divided by r(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7059168.00000288 - 7059170. Let d = p - -2. Round d to seven dps.\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1193267295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*g**2 - 18740*g + 747426 wrt g.\nAnswer: -8*g - 18740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-24)\/(-8) + (-3 - -9). Let x = 17867 - 7066. Suppose -2*v = -o*v + x. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2140, -1890, -1640, -1390, -1140, -890?\nAnswer: -640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 1, -2, 117, 55 in increasing order.\nAnswer: -2, 1, 9, 55, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -14 (b) 506 (c) -0.1 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 233 a factor of 102012?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -74116\/69 + 3221\/3. Suppose -4*m = -3*m. Which is smaller: m or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9920 * -10058\nAnswer: -99775360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of t**6\/1200 + 277*t**5\/600 - 557*t**4\/240 + 93*t**3\/20 - 1862*t**2. Suppose p(n) = 0. What is n?\nAnswer: -279, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12332 - 12364 - (0 - 87)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in six fifths of a minute?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(6912)\/sqrt(6))**2 - ((0 + (sqrt(72) - -2*sqrt(72)))**2 + 3).\nAnswer: 28149","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191688 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a decade in years?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 99732?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*m + 2*m**2 - 10*m**2 + 218191 - 218193 to the form u + d*m + r*m**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) 6\/7 (c) 0.31 (d) 4\/3 (e) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + y = -1, -3*g + 5*y = 10 - 1. Suppose -g*q = q - 3*c - 39, -13 = -q - 4*c. What is the remainder when 38 is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in -2\/5, 1, 1\/6, 4\/3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 7*g - 85 = -13*g for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p**3 + 5*p**3 - 3*p**3 - 2*p**3 - 2*p**3 + 2*p**3 + (-4 + 1 + 4)*(2*p**3 - 3*p**3 + 0*p**3) - 3*p**3 - 3*p**3 - 2*p**3.\nAnswer: -13*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 7:13 PM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -395873 or -395874?\nAnswer: -395874","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -581294 - 646*n**3 + 581294.\nAnswer: -646*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 10. Let n(q) = 0 + 0*q - 2*q - 2. What is the units digit of n(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 - 152*r + 5590. Calculate m(48).\nAnswer: 598","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 7 + -16 + 7\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of -o**5\/20 - o**4\/12 - o**3\/2 + 17*o**2\/2 - 82*o. Does 6 divide g(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 2*n**2 + 2*n + 179. Let x(g) = -g**3 + g**2 + g + 1. Determine u(c) - 2*x(c).\nAnswer: c**3 + 177","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 63, 15, -2?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9905377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 138850 and 150?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/1539 and 65\/10849266.\nAnswer: 97643394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 33) + (1 - -16)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1674)\/15)\/(4\/(-10)). Suppose h = 3*s - 222. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k + 3. Let l = -569 - -580. Let t(o) = 29*o + 1 - l*o - 11*o - 6*o. Calculate t(y) - u(y).\nAnswer: 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1096\/5 - 218. Factor 4\/5*d + h*d**2 + 2\/15.\nAnswer: 2*(3*d + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1765294\/19 >= -92909?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - 2. Suppose 4*h = -3*z + 191, -5*z + 2*z = -4*h + 161. Let t = h + -46. Let b be r(t). Solve 0 = b*m - 4*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.08 - 67.92. Which is the nearest to i? (a) -1 (b) -5 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47134 is divided by 11778.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - 3\/(-3) - -5. Let d = -2\/493 + 1008\/5423. Sort d, -0.9, t in increasing order.\nAnswer: -0.9, d, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 79*o**2 - 249*o + 252. What is j(-82)?\nAnswer: 498","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 1\/4, 1, -1\/3, -27?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 + -39 - (1 + 0 + -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 11:32 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.4, 0.3, 2\/11, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 56197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164 = 17*k - 74. Suppose 2*z - k = 2*x, 2*x - 3*z = -8 - 9. Which is the biggest value? (a) 0 (b) 1\/3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2239, 3 in ascending order.\nAnswer: 3, 4, 2239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - 3*j - 1. Suppose 0 = 2*f - 10 + 4. Suppose -f*b + 5*b - 2 = -2*y, 4*b = -3*y + 6. Suppose g - 6 + b = 0. Calculate m(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 90 and 99690.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-977)\/(-2))\/(6\/12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -55.7 - -55.744. Let u = 2.99 - 2.94968. Let d = z - u. What is d rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3 + v**2 + 12*v.\nAnswer: -v*(v - 4)*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -12882\/4055?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, -11, -43, -91, -155, -235?\nAnswer: -331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12489119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.8 (b) -0.01 (c) 1 (d) 1142\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 87573671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -770 + 3871\/5. Factor 4\/5 + 16\/5*x + 9\/5*x**3 + a*x**2.\nAnswer: (x + 1)*(3*x + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*1*(-2 - -1). Let i be (-22)\/(-2) + -3*a. Suppose i*g - 3*g - 30 = 0. Which is bigger: 4 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(1584) + 6*(sqrt(1584) + 2*sqrt(1584)))**2*-1.\nAnswer: 1143648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 6*(3*(1 + sqrt(175)) - (sqrt(175) - -3*(-1 + sqrt(175))))*-3 + 0)**2.\nAnswer: -18540*sqrt(7) + 67309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 480.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*v - 2443 = -2613 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -13. Let q be g - (98 - -1)\/(-3). Suppose 11*w - 120 = -w. Calculate the greatest common factor of w and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(-1)\/84*-140. Let -37\/3*j**3 - v*j**4 - 16\/3 - 68\/3*j - 28*j**2 = 0. What is j?\nAnswer: -4, -2, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -999435550 divided by 3647575?\nAnswer: -274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -749 = -9*z - 461. Solve -6*o = 2*o - z for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1320, -1315, -1312, -1311, -1312, -1315?\nAnswer: -1320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31167\/854 - -2\/427. Let c be 3606701\/(-2618) - 8\/68. Let y = -1378 - c. Calculate the common denominator of n and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 493 and 11?\nAnswer: 5423","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + c = 2. Suppose 40 = 6*f - c*f. What is the remainder when 28 is divided by f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -k + 2. Let u = 11 - k. Solve 0*q + 5*s + 25 = -4*q, u = 3*q - s for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 2:58 AM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/2)\/(15\/(-30)). Solve d - 5*n = -2*d - 12, d + 8 = q*n for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -189, -731, -1635, -2901?\n\"Answer: -181*y**2 + y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 3*j**2 - 10*j + 6. Suppose -2*t = -4*a - 26, 2*a = -t + 1 - 0. Is h(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 192367?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cllhmzlhmclzzhe. What is prob of picking 1 h and 2 m?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.05 + -0.15. Let l = 16 - 15.2. Which is bigger: k or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8476906539 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8222 is divided by 257.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, d: 2, y: 1, p: 2, m: 4}. What is prob of picking 1 m and 1 q?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 PM and 3:52 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - 5)*((-16)\/6 + 2). Suppose -f - 11 = -4*k + 2*k, -k + o*f - 12 = 0. What is the smallest common multiple of k and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/(32\/6) + (-9)\/(-2). Solve 28*n**3 + 2*n**2 - u*n + n - 10*n**2 - 2*n - 16*n**4 = 0 for n.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rctc when four letters picked without replacement from rmmfmcmcmcftmfmxmmm?\nAnswer: 1\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 1 + 2 + 2)*(-2*f - f + 5*f) + 3 - 3 - 2*f**2.\nAnswer: 2*f**2 + 6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(112)*2)**2.\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 198791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 14305347, 28610700, 42916053, 57221406?\n\"Answer: 14305353*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - 9*h**2 + 10*h + 4. Does 5 divide i(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -142*s**5 + 198*s wrt s?\nAnswer: -2840*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-3)\/(-20)*40\/48)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*d - 19*d + 12*d**2 - 11*d.\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/5, -528, 100.26?\nAnswer: -528","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = i + 16. Suppose -3*f + 3*j = -3, -i*j - 2 = -4*f - 3*j. Let n(b) be the second derivative of b**4\/12 - b**3\/6 - 3*b**2\/2 - b. Calculate n(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1643636945?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 3:02 PM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001001011010 (base 2) to base 3.\nAnswer: 110001201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 - 6*z - 11. Let i be d(8). Let y be -1*(0 + -1 + 0)*i. Suppose -4*n + 7 + 13 = 0. Solve y*m - 3*c + 11 = -6*c, 7 = 2*m + n*c for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 282596 divided by -2\nAnswer: -141298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -2*r - 208. Suppose -12 = -3*v, -8*y + 5*v = -4*y + r. Let k = y - -34. List the prime factors of k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41772 is divided by 1492?\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -63 - -33. Let m = a - -44. Let s(z) = -8*z**3 + 129*z**2 - 17*z + 51. Let k be s(16). What is the highest common factor of m and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -379\/82 at most -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 5*q - 2*q. Suppose 0 = -2*p + q - 6. Solve -p*z - 4*m - 29 = z, -2*z - 9 = -m for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 5 + (2 + 4*(0 + sqrt(162)))*5 + -2)*6)**2.\nAnswer: 142560*sqrt(2) + 2337156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 40*v**2 + 336*v + 270. Give g(-6).\nAnswer: -306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u. Let a(r) be the first derivative of -7*r**3\/3 + 7. Calculate b(a(y)).\nAnswer: -14*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - g - 18 + 1, 5*f + 2*g - 5 = 0. Find the second derivative of 4*b + 2*b - f*b + 3*b**2 wrt b.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4162 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**3 - 4*c**3 + 4*c**3 + (-2*c**2 + 5*c**2 - 2*c**2)*(1 - 1 + 2*c) + 57*c**3 - 47*c**3 - 3*c**2 + c**2.\nAnswer: 13*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68477267?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -611 = -p - 0*b - 3*b, 5*b = 4*p - 2461. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 177 - -5218?\nAnswer: 5406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12002 divided by -1.\nAnswer: -12002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10503*g - 123 = 10506*g + 3*k, 2*g = 3*k + 113 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + 214?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000052759747 to 6 dps.\nAnswer: -0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 5*g**2 + 18*g - 34. Let l be s(7). What is the remainder when (15\/l)\/(9\/(-558)) is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/1148 and -51\/20.\nAnswer: 5740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 425246 + -10?\nAnswer: 425236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-1 - -7 - 11) - (-23 - -46).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 7:34 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -4*u**2 - 3*u + 3. Let g be b(-6). Let h = g + 426. Suppose -90 = -q - 4*w, -h = -3*q + 3*w - 4*w. What is the greatest common divisor of 68 and q?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -8*b**4 + 29*b**3 + 117*b**2 - 91*b - 315. Let l(m) = 12*m**4 - 44*m**3 - 176*m**2 + 136*m + 472. Let f(u) = -8*d(u) - 5*l(u). Factor f(j).\nAnswer: 4*(j - 5)*(j - 2)*(j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 226473 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -2. Let l(t) = -122*t**3 + t**2 + 2*t + 1. Is l(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 218196.\nAnswer: 109098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 + 23*v + 140. Let x be k(28). Solve 0 = 2*y - x for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 620 by -5100.\nAnswer: -31\/255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3205601 - -104?\nAnswer: 3205705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3775 + -3743 + (1 - 93).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14330.3616 rounded to the nearest integer?\nAnswer: 14330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -5*n + 625. Let l be r(27). Solve 495*x + 25 = l*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.01227141 and 59359.\nAnswer: 59359.01227141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 23566.\nAnswer: -3\/23566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -1 + 0*t + 26*t**2 - 2*t - 11*t**2 + 4*t. What is the tens digit of x(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41754*c**2 + 3 - 13941*c**2 - 13258*c**2 - 3 - 13702*c**2.\nAnswer: 853*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 439364690?\nAnswer: 2, 5, 241, 182309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence px when two letters picked without replacement from {e: 3, u: 7, x: 4, p: 4, f: 1}?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5738960 and 12.\nAnswer: 17216880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/190674 and 103\/1584?\nAnswer: 1525392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/23)*x)\/((x\/(x\/x**4))\/x))**21*(x\/(x**(2\/5)\/x)*x**(-4))**32 assuming x is positive.\nAnswer: x**(-13452\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71517?\nAnswer: 3, 31, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 3:05 PM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 3*s - 1057 = 895, u + 3*s = 394. What is the remainder when u is divided by 131?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -7 + (-6 - (-26 - -14)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 1221206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5624.\nAnswer: 2, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 0*t + 3*t - 237, 318 = 4*q + 3*t. Let k = -59 + q. List the prime factors of k.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of -13*l**6\/120 - l**5\/10 - 5*l**3\/3 - 84*l**2 + l. Find the third derivative of i(h) wrt h.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -1214885406166?\nAnswer: -1214885406169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(75)*6)**2 - (sqrt(363)*1 + sqrt(48)*3).\nAnswer: -23*sqrt(3) + 10800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 951 times -3\nAnswer: -2853","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1527406 to the nearest integer?\nAnswer: 1236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -200b9 (base 13) in base 16?\nAnswer: -dfba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -92583660 divided by -780\nAnswer: 118697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 4:41 AM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 874 - 1418. Let h = w + 543.999999677. Round h to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -799*p - 3809125 = -3821110 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 754*n + 1196 - 7982. Which is the second biggest value? (a) -145 (b) 2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3052631 to the power of 1\/2, to the nearest integer?\nAnswer: 1747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 352396\/24 + (-42)\/252 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of 37*b**4\/2 - 236*b**3\/3 + 111. Find the third derivative of w(n) wrt n.\nAnswer: 444","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1307?\nAnswer: 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 10:54 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28640, -28651, -28664, -28679, -28696?\nAnswer: -28715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000279529806 to seven dps.\nAnswer: 0.0002795","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 3030260?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 9 = -4*j - 19, 5*x = -4*j - 19. Let l be 0 - (-18)\/j - 10\/(-4). Let c = 0.1 + -0.3. Sort -0.05, l, c in increasing order.\nAnswer: l, c, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(162))\/sqrt(9))\/sqrt(6) + -2 + 2.\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3425 = -f + 6*f - 1825. Does 10 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2.3 (b) -6 (c) 44 (d) -3 (e) -1.7 (f) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 25*i**2 + 39*i - 9. Let x be q(23). Let j be (3\/2)\/(51\/x). Are -56\/15 and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4420120729?\nAnswer: 757, 5838997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/14 (b) 240\/11 (c) -5 (d) 3 (e) -6 (f) -1\/2 (g) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4289, 8589, 12901, 17231, 21585, 25969, 30389, 34851?\n\"Answer: w**3 + 4293*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3318525 by -6.\nAnswer: -1106175\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -170341 + -150?\nAnswer: -170511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(330)\/(sqrt(6) - (sqrt(384)*-1 - sqrt(6))))\/(-1*sqrt(1331)*3).\nAnswer: -sqrt(5)\/330 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -716, -747, -794, -863, -960, -1091, -1262?\n\"Answer: -h**3 - 2*h**2 - 18*h - 695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/5 of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -20 divided by 20\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q. Let k(t) = 89 - t**2 + 0*t**2 + 115 - 204. Determine k(h(c)).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -1641\/613?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -2*o + 14, 2*o + 10 = -4*u - 12. Which is smaller: -1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-15)\/12)\/(15\/(-110400)). Suppose 22*w - 42*w = -u. What is the greatest common divisor of 10 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + 52*x**2 - 99*x - 47. Calculate p(50).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 5*w, -t + 5*w - 10 = 2*w. Solve t*f - l - 3*l = 17, 0 = 2*l + 6 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1041, -2227, -3449, -4725, -6073, -7511?\nAnswer: -9057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8369.\nAnswer: 8369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 110768?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 86 and 4371.\nAnswer: 375906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 16 + 59*t - 3 + 2 + 5 as z + w*t and give w.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 101399805 and 870.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 114 + 86. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 512764, 512722, 512680?\nAnswer: 512638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrhh when four letters picked without replacement from {r: 15, h: 3}.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ql when two letters picked without replacement from {l: 3, d: 1, s: 2, e: 3, p: 1, q: 1}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 7:25 PM?\nAnswer: 5:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((140\/5)\/(-280))\/(2\/((-2)\/1))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 660140 and 2?\nAnswer: 660140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 286 + -284. Find the second derivative of -87*h**m - 22*h - 4 - 4*h + 3 + 10*h wrt h.\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 307 a factor of 1177345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, b: 1, d: 1, e: 1, x: 1, t: 1}. Give prob of picking 1 d and 2 b.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4\/2 + 29*t**3\/2 + 195*t**2\/2 - 225*t\/2.\nAnswer: t*(t - 1)*(t + 15)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, -2\/7, 2, -62, 0.1 in ascending order.\nAnswer: -62, -2\/7, 0, 0.1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*1*8920\/(-2676)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85)\/(sqrt(25)\/sqrt(5)) - (-4*sqrt(102))\/sqrt(6))*3)**2 + 3.\nAnswer: 3828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*1*sqrt(20))\/(2*(-1*sqrt(10) - sqrt(10))) + 3.\nAnswer: sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is y in y**3 + 2*y**2 - 13*y + 10 = 0?\nAnswer: -5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5537*s**3 - 175*s**2 + 8*s wrt s.\nAnswer: -33222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -292415 divided by 58483?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-24)\/(-9)*1 - (-2)\/(-3). Suppose -2*t + l*d = -34, 2*d = -0*t - 5*t + 71. Which is smaller: t or 30?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -14*g + 6 - 2 + 11 + 11. List the prime factors of d(-8).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qymmrmmqmmrmqmqqqyy. Give prob of picking 1 r and 2 m.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/52 and -27\/56.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x**2 + 4*x - 3. Let f(z) = -z + 11. Let t be f(6). Let r(n) = -n**2 + 3*n + 101. Let h be r(12). Let l(m) = 2*m**2 + 3*m - 2. Give h*l(y) + t*w(y).\nAnswer: y**2 - y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(2\/3)*p)\/p)\/(p*(p*p**(-1\/3)*p*p)\/p)*p\/p**(2\/17)*p*p**2\/p)\/((p**1)**15\/((p**(-3)\/p*p)\/(p**(-7)\/p))) assuming p is positive.\nAnswer: p**(-138\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 4:43 PM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 - -4.1. Which is the biggest value? (a) i (b) 0.2 (c) -2\/45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (115\/(-69))\/(((-380)\/(-48))\/19). Put m, 117, -5 in descending order.\nAnswer: 117, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c**2 + c**2 + 2*c**2 - 2*c - 4*c + 3*c + 4*c.\nAnswer: -2*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/3 + (-182)\/6. Let w = 45 + g. Suppose -5 = -5*t + w. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ydt when three letters picked without replacement from {i: 2, d: 1, y: 2, k: 1, t: 4}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1570984 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -10 (b) -3 (c) -3314245\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6048\/(-2079)*22\/(-4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -5 (c) 0.03 (d) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o**2 - 9*o + 21. Let h(d) = -d**2 - 10*d + 21. Let l(s) = 4*h(s) - 3*q(s). Let a be l(2). Solve -9 = -3*j - a for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -8. Let j(y) = y - 9. Let c(i) = -2*j(i) + 3*x(i). Find the first derivative of c(o) wrt o.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 270 + 86 = 0. What is the greatest common divisor of q and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 171*x + 356. What is w(-2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20\/(2*1 - 1598\/800). What is v rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 8629687?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/(-2))\/(9\/18). Sort g, 4, 0, -5.\nAnswer: -5, g, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-10)*(-15)\/(-39). Which is the closest to 0.4? (a) -2 (b) q (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 53*d - 71*d - 108 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28\/59 + 1453\/295. Let z = -15 + 28. Let a = z + -8. Which is smaller: a or x?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 98 and 1127?\nAnswer: 2254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7424983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 + 15. Let x(y) = y**3 + y**2 - 4*y - 3. Suppose -2*s - 8 = 4*r, -5*r + 4*s = -r + 8. Let n be x(r). Is n > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 137*j - 138*j - 2, 5*z = -4*j + 20637. What is the thousands digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -7*c - 25. What is the remainder when y(-13) is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -5*h + 30, -2*h + 0*m + 12 = 5*m. Let i(z) = 8 - h + z - 2*z. Calculate i(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 9*v**3 - 2*v**2 + 8*v + 135. Let o(g) = 5*g**3 + 4. Calculate k(z) - 2*o(z).\nAnswer: -z**3 - 2*z**2 + 8*z + 127","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 - 4*m + 4*m)*(0 - 2 - 1)*(0*m**3 - m**3 - m**3).\nAnswer: 6*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -13*n - 29. Let m be u(-9). Let h = 42 - m. Let c = -42 - h. What is the greatest common divisor of c and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*k)*(14*k**4 + 7*k**3 - 7*k**3).\nAnswer: -28*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 7:46 PM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 68 = 5*v. Calculate the greatest common factor of v and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 3*f)*(1939 - 965 - 3*f**2 - 948) to y*f + m*f**3 + d*f**2 + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 7c6?\nAnswer: 7c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 13*j**2 - 37*j. Calculate p(4).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 282, 1121, 2514, 4455, 6938, 9957, 13506, 17579?\nAnswer: 22170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 100561 and 83309?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -11*o + 2. Let m(k) = -55*k + 11. What is -6*m(h) + 33*y(h)?\nAnswer: -33*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a hour in minutes?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-3\/2)\/(y**(4\/11)\/y))\/((y*y**(-2\/9))\/(y\/y**(-9))))**(-21) assuming y is positive.\nAnswer: y**(-11585\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -5 - 16*z - 8 + 3. Let f = 783 + -791. Is j(f) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 6*k = -2*s - 483, -2*k + 317 = -3*s. Suppose 5*m + 152 = 5*t - k, 3*m = 12. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -n**8\/112 - n**7\/35 + 3*n**6\/40 + 9*n**2\/2 - 2*n + 69. Let k(b) be the second derivative of v(b). Let k(p) = 0. Calculate p.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (27 - 18) + -3 + 1\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3*j - 1. Determine m(-7).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 - 9) + (-18 - (2 - -1)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (70\/(-6))\/((-64)\/336*80\/64)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44 and 253.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6160, -12309, -18458, -24607?\nAnswer: -30756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -93 (b) -14 (c) -1 (d) 1427\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dzz when three letters picked without replacement from weezdqzzeqzz?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of l**5\/5 + 25*l**2\/2 - 4. Find the second derivative of z(v) wrt v.\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1428777 and 189?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 186.4298 millilitres?\nAnswer: 0.1864298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3194679 and 1182.\nAnswer: 1258703526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97347 is divided by 1570?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -14 - 16 + 31. Let l(b) = -b**2 + b - 10. Let n(j) = -l(j) + 3*o(j). Is 16 a factor of n(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 7*l + 11278, x - 5630 = 121*l - 122*l. What is x rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -239 - -105. Let a = 686 + f. What is the hundreds digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 614?\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (11\/2)\/((2 + -3)\/2). Let h = -9 - m. Solve 5*j + 5*d = -30, -2*d - h*d = j + 9 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3429 + 7270. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-72)\/(-588))\/((-1)\/21) + 3.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -8. Let y = -1.9 + p. Let i = 17139 + -17135. Sort i, 0.2, 2\/13, y.\nAnswer: y, 2\/13, 0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -103?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2090519?\nAnswer: 277, 7547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, e: 8, y: 1}. What is prob of picking 2 e?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - -2)\/((-1)\/6). Let u be 40\/o*(-4 - -1). Solve -2*x + u = -3*i, 3*i - 8 = -4*x + i for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -0.1, -0.0011?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/243 and -23\/1781.\nAnswer: 432783","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1 + (sqrt(288) + sqrt(288) + 2 + sqrt(288))**2 + sqrt(288) + -2).\nAnswer: 624*sqrt(2) + 10372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -9 - 2*x - 12 + 21. Let o(n) = 3*n**2 + 55. Calculate o(v(y)).\nAnswer: 12*y**2 + 55","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*y - 804 = -444 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 31. Calculate the smallest common multiple of q and (-7 - (-132)\/20)*-45.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**3 - 41*b**2 - 143*b + 185 = 0 for b.\nAnswer: -37, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -49.\nAnswer: 6\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/(-15) + 126\/(-10). Let q = i - -17. Let r be (-9)\/(-3)*5\/(-3). Which is the second smallest value? (a) r (b) q (c) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 7:32 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/12213728 and 37\/7558.\nAnswer: 12213728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 20*k**2 + 12*k + 45. Let q be m(-20). Let i = -189 - q. Solve i*j + 29 - 5 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of -b**6\/15 + 4*b**3\/3 + 13*b. What is the second derivative of n(o) wrt o?\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = n - 4*h + 243, -h + 367 = -2*n. Let a = n - -376. Let t = a + -82. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.3 - 0.3. Let u = 140 - 68. Let c be ((-90)\/u)\/((-2)\/(-8)). What is the second smallest value in s, -11, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 6*j - j - 4*j + 20 - 4*j. Let m be 2 - (5 + -1) - (-4 + 2). What are the prime factors of q(m)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 326697 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 396129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 255993*z**3 + 5561 with respect to z.\nAnswer: 767979*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*z - z + 12*z + 6*z.\nAnswer: 25*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -8*h**2 + 2. Let x be z(2). Let g = x + 32. Suppose 3*w + g*j = 29, -2*j - 2*j = w + 7. Is 2 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 125824, 125459, 125094?\nAnswer: 124729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.280702 to two decimal places.\nAnswer: 19.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 187 and 1921?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1458 + 1463. Suppose 3*q - 11 = h, -4*q + 2*h - h + 13 = 0. Sort a, q, -2, -4 in ascending order.\nAnswer: -4, -2, q, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891)*1 + 0)**2 - ((sqrt(891) + sqrt(891) + 1 - sqrt(891))*1)**2.\nAnswer: -18*sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millennium in years?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 10:08 AM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/3*(-6 - 0 - (-187)\/34).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(133) + sqrt(133)*1 + sqrt(133))*-6 + 1*(sqrt(133) - (sqrt(133) + -1*sqrt(133) + sqrt(133))))\/((-3*sqrt(140))\/((sqrt(60)\/sqrt(3))\/sqrt(4))))**2.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 1111, -0.3, -2\/13, 2\/9, 2\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111000 (base 2) in base 9?\nAnswer: -143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u**2 + u**2 - 6*u**2)*(42184 + 234*u**2 - 42184).\nAnswer: -234*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 AM and 8:58 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 8*l + 378. Calculate the greatest common factor of l and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 16*z**2 - 30*z + 27. Let g be q(14). What is the closest to -0.2 in g, 0.1, -3, 1\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vmv when three letters picked without replacement from ojvmvj.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**3 - 578*b**4 - 2 + 579*b**4 + 4*b**3 - 4*b**3 as u*b**2 + l*b**4 + d*b**3 + a*b + t and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 52\/1581?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.64469 to one dp.\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3*x**2 + 182*x - 2288. Suppose 0 = 5*q - 3*i - 124, -q = -i - 24 - 2. Calculate the remainder when o(38) is divided by q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-6))\/(r*r**(2\/11)\/r*r))**(1\/24) assuming r is positive.\nAnswer: r**(8\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 150948?\nAnswer: 150948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 219494 times 1.26?\nAnswer: 276562.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7789 + -1.16?\nAnswer: 0.6189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/2296 and -53\/3379712?\nAnswer: 3379712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/(-4) + (-1)\/(-4). Let n = 105 - 35. Let q be (-2)\/(-4) - 75\/n. Are p and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 43*f = 38*f - 8120, 3*f + 13512 = 5*m. What are the prime factors of m?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 11 = 13. Let r be -2 + (9\/(-3) - y). Let b(t) = t**3 + 3*t**2 - 2*t - 1. Let o be b(r). Solve -5 = 2*h - 3*s, o*h + s = 16 - 3 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from eyeyee.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 269.\nAnswer: -5\/269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69\/23*(-1)\/(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/6*(338\/110 - 3).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 0, t - 6 = -2*m - 0. Suppose -o = -3 - m. Let z(j) = o + 0 + 2*j - 5. What is z(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 549*x = -554*x + 9, 5*s + x - 15 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -d - 2, -n - n + 8 = 2*d. Suppose -n*c + c = -182. Calculate the remainder when c is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - 248*g + 4365. Give p(19).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 163 = -3*s, -2*q - 3*q - 4*s + 350 = 0. Suppose -4*h = t - 11, -50*h = 5*t - 55*h - 80. What is the remainder when q is divided by t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 132 = 78. Is d greater than -42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21848 divided by 5462\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -512, -979, -1448, -1919, -2392?\nAnswer: -2867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -8*m - 3. Let j(v) = 3 - 11*v - 4 - 2 + 2*v. Let w(x) = 7*g(x) - 6*j(x). Find the first derivative of w(b) wrt b.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31230?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*3*sqrt(156)*5)\/(sqrt(1728) + sqrt(1728)*2 + sqrt(1728) + sqrt(1728) + -2*sqrt(24)\/sqrt(2)).\nAnswer: 45*sqrt(13)\/58","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1743062?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + -4)*6\/(-4). Let j(h) be the second derivative of -3\/2*h**2 - 3\/20*h**5 + 0*h**b + 0 + 2*h + 0*h**4. Differentiate j(q) wrt q.\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 9:08 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 158 (b) 2\/11 (c) -6\/7 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 PM and 6:48 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*o + 2*o + 3*o + (-1 + 1 - 3*o)*(-4 + 5 - 2) - 3 + 3 - 2*o - 3*o + 3*o - o + (0 + 4 - 5)*(o + o - 5*o).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 12:21 AM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*b + 28*b - 45 = 0. Let u = -5 + 7. Suppose 5*o = u*d - 0*d - 39, -3*o = 3*d + 36. Is b at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 522165482 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 740820 - 454531. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/20)\/((-2)\/15)*(-312)\/2106.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/494*8)\/(2\/1)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1773 and -0.5.\nAnswer: 886.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10*12\/(-98))\/(2\/14)*7. What is the greatest common factor of p and 1020?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*f**3*g - 28854*f**3 - 5878167*f**2*g + 1650*f wrt g.\nAnswer: -9*f**3 - 5878167*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + (6 - -17) - 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*n - 3*n**5 - 6*n)*(-3 + 3 - 1) - n**5 + 4*n**5 - 5*n**5.\nAnswer: n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - -15) + 78 + -131.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -265*d**4\/12 - d**3\/6 + d**2 + 3*d. Let a be u(2). What is a rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48 by 5.\nAnswer: -48\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/(-2)*4\/6. Solve b*a + 4 = -5 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 1:58 AM?\nAnswer: 11:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -53 + 49. Does 31 divide (h + (1 - -4))\/((-1)\/(-31))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 600 and 111960?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -34*c. Suppose 2*d + 112 - 110 = 0. Let m(f) = -25*f**2 - 30*f. Let n(z) = z**2 + z. Let b(o) = d*m(o) - 30*n(o). What is b(q(k))?\nAnswer: -5780*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 70248561 to the power of 1\/2, to the nearest integer?\nAnswer: 8381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 432866*b**3 + 5*b + b**4 + 432863*b**3 + 2*b as m*b**4 + p*b**2 + y*b + i*b**3 + k and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5420 or -5422?\nAnswer: -5420","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10\/39 - -328\/975. Let r = 29\/50 - f. Find t, given that r*t**3 - 1\/2*t**4 + 1\/2*t**2 + 0 + 0*t - 1\/2*t**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - i - i = -47, 5*g = -5*i + 75. Let f = 2576 - 2568. What is the lowest common multiple of f and g?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) 0.11 (b) 0.2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/3504962 and -29\/10.\nAnswer: 17524810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 10:51 AM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 77397412?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 309\/3 + 4 - 2. Let u be b\/(-21)*(-4)\/(-70). What is the smallest value in -4, 10, u?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 839 is divided by 60?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/75 and 203\/660?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5574 + 21533. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1100297447 + 1100297491.99999592. Let z = -55.9 + 10.9. Let x = z + g. Round x to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 5*v**4 - 25*v**3 - 30*v**2 + 233*v + 130 - 73*v + 30 = 0.\nAnswer: -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -30 or 10941?\nAnswer: 10941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((7 + -5)\/4)\/((-2)\/(-20)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51206484 to the power of 1\/2, to the nearest integer?\nAnswer: 7156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-3)*(8 + -11). Let v(r) = -3*r**2 + r. Let t be v(q). Let n(h) = -2*h**3 + 2*h. Calculate the lowest common multiple of 20 and n(t).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q = -q + 1190. Calculate the least common multiple of q and 187.\nAnswer: 935","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 273153772?\nAnswer: 2, 31, 2202853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 96 and (6\/14 - (-349320)\/280)*1?\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 5 + 4 = 0. Suppose -c*g = 2*q + 2*g - 75, 3*g = -5*q + 140. Solve r = -4*r - q for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -28 in 12, -5, 4, 3\/5, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2.7, -3, -3\/1654?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.4 and 0.2?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33508 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 223.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 equal to -69\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 135588617 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -18677539.9 - 0.4542?\nAnswer: -18677540.3542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2153809831.001339 + -2153807464. Let h = 2367 - b. Round h to four dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/1477630 and 13\/19089.\nAnswer: 39896010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -37*q**2 + 77*q - 6. What is v(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/9 + 2*b\/9 - 35\/9.\nAnswer: (b - 5)*(b + 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert cc6b6 (base 14) to base 8.\nAnswer: 1707230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 14364, 14368, 14374, 14382, 14392, 14404, 14418?\n\"Answer: b**2 + b + 14362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 2. Let y(f) = -2*f**2 + 3*f**2 + 11 + 0*f**2 - 2*f. What is the units digit of y(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1228758?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/16 + 15\/8. Suppose -4*d = 2*v - 6 - 6, -g*v = 4. Let h = -1.4 + 1.6. Which is the smallest value? (a) d (b) h (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -367 - -361 - (-5 - (5 - (1 + 15)) - -3)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 16*i**2 - 145*i + 2397. Determine o(15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k**2 + 0*k**2 + 2*k**2)*(4 + 1 - 3 + 3 - 2 + 0 + (-2 + 0 - 1)*(5 - 5 + 2) - 57 + 66 - 243).\nAnswer: 711*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2376*y = 2394*y + 1311048. Round y to the nearest 1000.\nAnswer: -73000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 945*z - 36515. Calculate r(38).\nAnswer: -605","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 283*n**2 + 85*n**2 - 513*n**2 - 18 + 19.\nAnswer: -145*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -421 - -424. Let u = -21.02 + 18.02. Let j = -3 - -3.5. Put u, j, 4\/7, c in ascending order.\nAnswer: u, j, 4\/7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -48068, -81377, -114686, -147995, -181304, -214613?\n\"Answer: -33309*t - 14759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -18\/190325?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -6*q**2 - 2*q - 2. Let k(j) = -19*j**2 - 7*j - 7. Give -2*k(s) + 7*y(s).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -248307 or -248460?\nAnswer: -248460","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 549 equal to 548?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 502699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 348754 is divided by 43590?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 2203309 and 0.09 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40028?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 584700813 to the nearest integer?\nAnswer: 836","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 779, 1776, 2771, 3764?\nAnswer: 4755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 3*p**3 + 144*p**2 + 407*p + 579. Calculate f(-45).\nAnswer: 489","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 2*r - r = 576, -5*j = -5*r - 570. What is the second derivative of h**2 - 54 - 18*h**3 - 52 + 107 + j*h wrt h?\nAnswer: -108*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000100000 (base 2) in base 3?\nAnswer: -202011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.1596 to 1 dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83, 308, 677, 1190, 1847, 2648, 3593?\nAnswer: 4682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 14*y + 10*y + 42950016 = 0, x + 8590020 = 5*y. What is x rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + 1398. Let t(h) = 49*h - 3. What is t(x(u))?\nAnswer: 49*u**2 + 68499","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 222 divide 874093879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 716 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -148700 (b) -2 (c) 2\/9 (d) 17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -881.5412 - -883.0411933. Let c = d - 1.5. Round c to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + y + 0)*(-y + 4*y - y) + 2*y**2 + y - y + ((5*y + y - 5*y)*(-3 + 3 + 4) - 12*y + 2*y - y)*(-2 + 2 + 6*y) to the form r*y**2 + l + v*y and give r.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*h + 7*h + 5*h)*((3*h - 3*h - h)*(-4*h + 4*h - 6*h) - 5 + 5 + 2*h**2 + 2*h).\nAnswer: 336*h**3 + 84*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2 + 2*d**3 - 2 - 5 - d**3 - d + 5*d**2. Calculate n(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14 + -14?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40.29 + 40.34. Put d, 4, 0.3 in descending order.\nAnswer: 4, 0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/9, 223, 249?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 2*a)*(2*a**2 + a - a) + (-10 - 14*a + 19 - 11)*(21*a - 5*a**2 - 21*a) to the form g*a**2 + k*a + d + n*a**3 and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8812, 17553, 26164, 34579, 42732, 50557, 57988, 64959?\n\"Answer: -11*v**3 + v**2 + 8815*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 632189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 - 2*m + 49. Let j be l(7). Let x be 12\/(-18) - j\/3. Suppose 5*r + 40 = -5*b + 310, b + x*r - 69 = 0. Is b a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -1) + (21 - 31 - -13).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 25800\nAnswer: 1\/12900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -59, 0, 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*v - 28*v + 28. Solve -13 = 5*y - 3*h, -2*h + 4 = -v*y - 6*h for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xrbgojj. What is prob of picking 1 j, 1 g, and 2 o?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - 1 - 1 - -153. Let g be (-18 + -1)\/(1*-1). Calculate the highest common divisor of v and g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -1737142b?\nAnswer: 17371433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 48*y**3 + 2*y**2 + 8*y + 213. Let f(p) = -48*p**3 - p**2 - 6*p - 212. Let v(o) = -4*f(o) - 3*r(o). Find the first derivative of v(n) wrt n.\nAnswer: 144*n**2 - 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -3*x**3 - 1. Let w be n(1). Let f be (-1 - 2)*w\/(-6). Sort 1, f, -4 in descending order.\nAnswer: 1, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/78*(7 - 4). Let s = -12 + 11.8. Which is the nearest to -1\/2? (a) s (b) j (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/21 in -0.1, -5.366, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4648, 7888, 11128?\n\"Answer: 3240*s + 1408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -151, -337, -563, -829, -1135, -1481?\n\"Answer: -20*a**2 - 126*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 225806, 451614, 677422, 903230, 1129038?\n\"Answer: 225808*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m**2 + 229777*m**3 - 3*m**2 + 4*m**2 - 229766*m**3 - m**2.\nAnswer: 11*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 7:45 AM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -34 (b) 0.1 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 4 = -2*k, 10*k = 7*k - 5*y + 49 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 46 + -38. Suppose 0 = -13*p + a*p + 65. Sort p, -3\/8, 3 in descending order.\nAnswer: p, 3, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3\/2, -4, 0.044?\nAnswer: 0.044","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xoo when three letters picked without replacement from xxxxxoxxxxxxxxxxxxo?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -400*c**2*z**2 - 13*c*z**2 + 9*c*z wrt c?\nAnswer: -800*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u - 21*u - 4*u**2 - 1 - 3 - 2*u + 2*u**4 in the form y*u**3 + l + h*u + j*u**4 + z*u**2 and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -0.2 (c) 0 (d) 659 (e) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.9 + 0.9. Let z = 8 - 9. Let n = 0.7 + z. What is the nearest to 1 in n, f, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**4\/3 + 19*r**3\/3 - 944*r**2\/3 + 308*r = 0.\nAnswer: -42, 0, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -533.047 to the nearest integer.\nAnswer: -533","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 84 and -0.04.\nAnswer: -3.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -142 + 211. Suppose -6*u + x - 3 = 0. Solve 3*k + 23 = u for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of -c**4\/12 - 2*c**3\/3 + c**2\/2 - 4*c - 11. Determine v(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -381.\nAnswer: -1\/381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -483601*y = -483691*y - 1890 for y.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -5*p**3 - 3. Let v(l) = 7*l**3 + 6*l - 5. Let u(w) = -15*w**3 - 13*w + 11. Let c(x) = 6*u(x) + 13*v(x). Calculate -6*c(r) - 2*f(r).\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -85 - -80. Put 1, d, -1, -2 in increasing order.\nAnswer: d, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(95) + (sqrt(95) - -2*sqrt(95))))\/(sqrt(5) + sqrt(405) + sqrt(405)*-2) - (-6*-1*(3 + sqrt(76) + sqrt(76)*-2 + sqrt(76)))**2.\nAnswer: -324 + 5*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -h - j - j, 5*h - 5*j - 35 = 0. Suppose -1\/2*v**3 + 0 + 1\/4*v**h + 0*v + 1\/4*v**5 + 0*v**2 = 0. What is v?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 519146156 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {f: 1, x: 1, d: 1, y: 2, v: 1, j: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/8*-2)\/((-55)\/(-180)*-3).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19717389163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10124439?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 572356?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3e4 + -b?\nAnswer: 3d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -86027.39855 - -86025. Let m = -11 - -13.4. Let c = m + f. Round c to four decimal places.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34850 - -39149. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 116350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*q - 28 = 116. Let r be 12\/q*(-15)\/(-10). What is the second biggest value in -2\/5, r, -1, 1.6?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) 9152 (c) 2\/953\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13468 - 8121. Is 6 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 10, 22, 32, 34, 22?\n\"Answer: -y**3 + 5*y**2 + 4*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2335 - -2332 - (0 + 12 - 1).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 2\/1181 (c) -37.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -526 + 519 + (-1 - 1) + -3?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 PM and 2:21 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12\/11, 6, -5.\nAnswer: -5, -12\/11, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -214*n**3 + 0*n + 0*n.\nAnswer: -214*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -104429*q - 77642 wrt q.\nAnswer: -104429","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q. Suppose -4*k - 4 = 0, 5*k - 1 = 4*n + 2. Let f(x) = x**3 + 3*x**2 + 2*x + 3. Let o be f(n). Let y(h) = 3*h + o - 3. Give z(y(l)).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -228*q**2 - 12 + 12 + 241*q**2.\nAnswer: 13*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 83, 15, -191, -529, -993, -1577, -2275, -3081?\n\"Answer: o**3 - 75*o**2 + 150*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -7 + 7 - (-1)\/(-3)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -44564704 by -4.\nAnswer: 11141176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -73833434\nAnswer: -73833437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 0 - 9 = 0. Let m(h) = -h. Let c be m(l). Suppose -c*k = 2*k + 25. Let w(a) = a**2 + 4*a + 6. Give w(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 123*h - 117. What is a(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 563 - 99. Let t = d + 524. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1076 (base 8) in base 9?\nAnswer: 707","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -233061 and 0.1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/4 - (-5)\/10.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -13204512 (base 6) to base 7\nAnswer: -3465422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.83 rounded to zero decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183495973?\nAnswer: 449, 408677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-172 + y + 172)*(-2*y - y + 6*y)*(88*y + 50 - 50).\nAnswer: 264*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -56*d + 7*d - 44*d to the form p + n*d and give n.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1328)\/(-415)*15\/(-6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8183, -32978, -90963, -198734, -372887, -630018?\nAnswer: -986723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of -4*l**5 + 61*l**3\/6 + 60*l. What is the second derivative of m(r) wrt r?\nAnswer: -480*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -454*y - 43. Is b(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 140 = -104. What are the prime factors of v?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 907176.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 189 divide 1118786235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -11*g**2 - 4*g + 5. Let a(j) = -6*j**2 - 2*j + 3. Suppose 0 = -2*n - p + 18, 0 = -4*n + 3*p - 2*p + 24. Determine n*a(x) - 4*y(x).\nAnswer: 2*x**2 + 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -293 + 27*c**3 + 2*c**4 + c**3 + 294 - 2*c to k*c + v*c**4 + z + i*c**2 + u*c**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 67, 158, 285, 448?\nAnswer: 647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 86021 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of 259*o**4\/24 + 113*o**3\/6 + 207*o**2. What is the first derivative of w(q) wrt q?\nAnswer: 259","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 784912?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/8 (b) 2 (c) 4 (d) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/92 and 25\/16.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1021211 + -2120010121?\nAnswer: -2111211210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 18190 + 0.4\nAnswer: 18190.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -86822\/99 - -877. Which is greater: -1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 3783*p - 4 + 3577*p.\nAnswer: -206*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-21)\/(-6)*5\/140*16. Let u(s) = -4*s - 4. Let p(v) = v. Let k(i) = -10*p(i) - 2*u(i). Let r be k(a). Solve -r*c = c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48159776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 6:01 AM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.8 and 4783501?\nAnswer: 4783500.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1717*j**2 + 669*j**2 + 3437*j**2.\nAnswer: 2389*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 7*i**2 - 60*i + 99. Is b(28) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by 15985?\nAnswer: -2\/3197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 33 + 29 = 0. Let q(p) = 5*p + 1. Give q(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*n = 4*m + 102, 919*m + 18 = 916*m - n for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*z - 3. Let d(g) = -4*g**3 - g**2 + 2*g - 1. Let w be d(z). Put -1, w, 0 in decreasing order.\nAnswer: 0, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 3 + (2 - 7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*a + 52. Suppose -5*u = -5*r + a + 14, -u + 2 = r. What is the third biggest value in -13, 0.4, r, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 174 and 33582.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - o**2 + o + 7. Give c(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/((-12)\/9 - -1). Solve -1 = i, 0 = s + a*i + 2 - 1 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1742 (base 9) to base 2.\nAnswer: -10100110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5779028.\nAnswer: 2, 43, 33599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus 550943?\nAnswer: -550944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7185 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1138774408 to the nearest integer?\nAnswer: 33746","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 50828, 101754, 152680?\n\"Answer: 50926*d - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**0)\/s)**(-7\/8)\/(s**(-5)*s\/(s*s**2\/s)) assuming s is positive.\nAnswer: s**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + 4. Let i be n(0). Is i\/14 + (-1550)\/(-14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -10 + 16 - -7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -114176*a**3*o**3 - 4*a**3*o**2 - 90*a**2*o - a*o**6 - 3*o**2 wrt o.\nAnswer: -685056*a**3 - 120*a*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of 0*v**3 + 0*v**2 + 1\/6*v**4 + 9 - 7*v. Let d(x) = -19*x**2 - x. Determine y(d(l)).\nAnswer: 722*l**4 + 76*l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2747115 and 1323.\nAnswer: 19229805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(8\/(-10)) + -1. What is the third derivative of 0*c**4 + 6*c**2 - 12*c**2 + c**2 - c**m wrt c?\nAnswer: -24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1821 - 364968944.7?\nAnswer: -364970765.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*h - 124*h + 61*h = 10 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -0*t - u - 14, 5*t - 4*u + 12 = 0. Let l be 4\/(-6219)*(-6)\/t. Let y = 8342\/51825 + l. What is the closest to y in -0.5, -0.2, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.31305 plus 115046921?\nAnswer: 115046922.31305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 107135, 106758, 106383, 106010, 105639, 105270?\n\"Answer: k**2 - 380*k + 107514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/5 - 22\/55. Let v = 23 - 139\/6. What is the smallest value in v, j, -0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -8.972\nAnswer: -35.888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.4, 0, 1.56, 13, -25, 1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33506 - -81706. Round b to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4672093 is divided by 934416?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -966 + 449 - 1542 - 60*i + 2777*i**2 + 61*i wrt i.\nAnswer: 5554","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -231, -1579, -5161, -12093, -23491, -40471?\nAnswer: -64149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 987753881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/5892 and 69\/3928.\nAnswer: 11784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*s + 1 - 1 + 29*s - 20*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 6:26 AM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**1)**(19\/3)*h**(1\/2)*h**(5\/4) assuming h is positive.\nAnswer: h**(173\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 5*z - 4. Let q(g) = 1. Determine 2*q(p) + y(p).\nAnswer: 5*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32\/1091 + -2790\/20729. What is the fifth biggest value in g, -3\/8, -1\/133, 5, 1\/9?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 17*c**4\/8 + 623*c**3\/2 + 46013*c**2\/4 + 12337*c\/2 - 143883\/8 = 0. What is c?\nAnswer: -73, -27\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + sqrt(245) + 1 + (-4 + sqrt(5))*4 + sqrt(5) + (sqrt(5) - (3 + sqrt(20)\/sqrt(4))) + sqrt(15)\/sqrt(243).\nAnswer: -18 + 118*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 107135750 and 625?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -29 + -8?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4856823045?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3193?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -4*z**2 + 103*z + 5. Let a(u) = -6*u**2 + 156*u + 8. Determine -5*a(h) + 8*g(h).\nAnswer: -2*h**2 + 44*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 91367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5118805 minutes in microseconds?\nAnswer: 30712830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 384.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 6273 divided by -1978\nAnswer: -6273\/1978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - i - 31 = i, 2 = -b + i. Let n(t) = -3 + 8*t**2 + 7*t - 2 - 2*t + t**3. What are the prime factors of n(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4000162*t**2 - 4000162*t**2 + 2024*t**3 - 567*t**3.\nAnswer: 1457*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j - 5. Let d(o) = o**2 - 5*o + 5. Let u be d(5). Let t be (2\/u)\/((-2)\/(-10)). Suppose 4*m - v = -21, 5*m + 7*v - t*v - 5 = 0. What is l(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - j)*(4 + 1 - 4)*(-19 + 19 - j) to i*j**2 + u*j + f and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 618392 to the power of 1\/4, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*a**2 - 19*a**2 + 9*a**2)*(-3*a**2 + a**2 + 3*a**2) + 2 + 23*a**3 - a**3 + 527*a**4 - 529*a**4.\nAnswer: 14*a**4 + 22*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -212129194, -212129196, -212129198, -212129200, -212129202, -212129204?\n\"Answer: -2*b - 212129192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 15*x**2 + 13*x. Let c be f(1). Suppose 3*o - c*o = -128175. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -6*i - 2. Let n(a) = -a. Give -d(w) + 2*n(w).\nAnswer: 4*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + 3*w + 2*w)*(2*w + 4*w - 3*w) - 5*w**2 + w**2 + 2*w**2 + (0*w**2 + 2*w**2 - 3*w**2)*(0 - 1 - 2).\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.04+239797514.7\nAnswer: 239797514.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 2*x**2 - 6*x - 2. Let q(g) = -4*g**3 - 9*g**2 + 25*g + 9. Give 2*q(v) + 9*u(v).\nAnswer: v**3 - 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 11:13 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 10*n**2 - 93*n + 798. Determine p(12).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 PM and 4:13 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (147\/5)\/(-7)*(-4240)\/(-636)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 2*h + 4*j = 2272, 0 = h - 3*j - 1116. Let u = h + -259. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n + 3*w - 0 + 4, -3*n = 5*w + 14 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from ccaccacaacajj.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 382255 + -402.\nAnswer: 381853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -433*t**3 - 25*t**2 + 12175*t - 265428098 with respect to t.\nAnswer: -1299*t**2 - 50*t + 12175","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*o + 3*o + 7*o - 2)*(8 - 8*o - 8) to the form s*o**2 + r*o + y and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7291 + -6750. Solve -532*v = -d*v - 54 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 - 8*o - 5. Let r be c(-7). Suppose a + 3 = -r. Let y(n) = n**3 + 5*n**2 + 3. Let m be y(a). Solve -m*t = -t + 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3 = 4*y - 2*c, y + 17 = -2*c. Let f = 1.52 - 1.7. What is the fourth biggest value in 2\/7, -1, f, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -3\/5, 3\/5, -20860, -26, -2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a second in microseconds?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 - c. Let l(n) = 12*n**2 + 5*n. Calculate l(b) + 4*m(b).\nAnswer: 16*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 65*o**2 + 9*o + 41. Let a be g(-3). Let k = a + -594. Solve 0 = -q + n + 6, -k*q - 2*n = -3*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 + 39 - (7 - (-2 + -4))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, w: 3, o: 2, k: 9, m: 1, d: 3}. Give prob of sequence dgg.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 29, -11, -12455 in decreasing order.\nAnswer: 29, 5, -11, -12455","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) 4 (c) -9 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 16 = -12. Suppose b = -5*z, -z = 3*b - 21 - s. What is the remainder when b is divided by (-5)\/20*4 - (-2 - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 316400400.\nAnswer: 2, 3, 5, 179, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 6*o**2 + 4*o - 2. Let v be -5 + 6 - 10\/2. Calculate the remainder when 40 is divided by n(v).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-27) + 75\/(-27).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/17701 or 0?\nAnswer: 1\/17701","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1414712 and 663202.\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, 0.4, 5, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 164592 (base 12) to base 14\nAnswer: 9cbb8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w - 1. Let g be k(-2). Calculate the remainder when (12\/5)\/(3\/20) is divided by 1 + g + 3 + 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -86 - 3216?\nAnswer: -3313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 28930 to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41*c - 6 - 9*c**3 - 63*c + 105*c)*(3*c + c - 6*c).\nAnswer: 18*c**4 - 2*c**2 + 12*c","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of u**4\/6 - 2*u**2. Let s(r) be the first derivative of 2*r**2 + 73. Determine s(t(d)).\nAnswer: 16*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/131186 and -59\/356?\nAnswer: 262372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 2*g**3 - 18*g**2 - 8*g + 72 = 0.\nAnswer: -2, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 30*v**2 - v - 28. Let l be t(-30). Let d(w) = 18*w**2 + 12*w**2 - 34*w**l. Let r(n) = 6*n**2. What is r(d(x))?\nAnswer: 96*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13279637.\nAnswer: 7, 271013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-256*m**2 + 256*m**2 - 17*m**4)*(m - 1 + 1) + 13*m**2 + 3*m**5 - 13*m**2.\nAnswer: -14*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 80850032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i - i**2 - 2 - i**2 + 1 + 5*i**2. Let v(y) = -y**2 + 86*y - 170. Let t be v(2). Calculate s(t).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(16\/((-9312)\/(-97))).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 333 - 334 - (-3 - (0 + -2))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 4*v - 5. Let o be t(2). Suppose -o*k = -2*k + 429. Find the common denominator of k\/(-54)*(1 + -4) and 35\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - -6. What is the greatest common divisor of 117 and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 1116 = 1347. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5949036 divided by -6.\nAnswer: -991506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -2, -236 in decreasing order.\nAnswer: -2, -13, -236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three eighths of a gram in milligrams?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 108\/20 + 2 + -4 + -3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*c - 759 = -6*b, 4*b + c = 771. Calculate the remainder when b is divided by 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(1\/13)\/q*q*q*q\/(q**(-3\/7)\/q) assuming q is positive.\nAnswer: q**(319\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -70 (base 13) to base 5.\nAnswer: -331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1675339 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2059 - 1431 - 43)*(3 - 2*u**3 - 3)*(u - 3*u + u) to h*u**4 + q*u + v*u**2 + o*u**3 + p and give h.\nAnswer: -7066","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8282 or 1035148\/125?\nAnswer: 1035148\/125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 874076 and 1330.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 470 and 34075.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k + k - 3*k - 1)*(-4*k**2 + 3*k**2 + 2*k**2)*(3 - 1 - 5).\nAnswer: -9*k**3 + 3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -6*q**2 - 45*q + 9. Calculate k(-9).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - i + 36, -2*b - 12*i + 16*i = -16. Calculate the least common multiple of b and 128.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0359569944 plus -151202?\nAnswer: -151201.9640430056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2590, 5093, 7608, 10141, 12698, 15285?\nAnswer: 17908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 6*j. Suppose j*u - 2*u = 0. Suppose 3*n = -u*n - 15. Which is the biggest value? (a) n (b) 0.7 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 2*v - 2*c - 18, 5*c + 14 = -3*v. Let x(r) be the first derivative of -3 - 2\/9*r**3 - 4\/3*r + r**v. Find j such that x(j) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1649*c**3*u**3 - 1174*c**3 + c**2*u**2 + 6*c*u + 27*u**4 - 2*u**2 wrt u.\nAnswer: -9894*c**3 + 648*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1661212*y - 27*y**2 - 95*y**2 + 1661201*y.\nAnswer: -122*y**2 - 11*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34 + 50. Suppose 8*m = 4*m + h. Suppose 10 + 19 = 3*o - 2*b, m*o = -b + 46. What is the remainder when 29 is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -47 - -54. Let t(z) = 3*z - 9. Let r be t(s). Suppose 0 = a + 1 - 14. Is a greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 11*t**3 + t**2. Let w be n(1). What is the highest common divisor of w and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52*c**4 - 218 + 218)*(-122 - 93 + 35 - 84 - 35).\nAnswer: 15548*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, j: 6, t: 5}. What is prob of picking 3 c?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(7\/5)\/x*x\/(x\/(((x*(x*x**(4\/5))\/x*x)\/x*x)\/x))*x*x)\/(x**(2\/9)\/(x**(-5)\/x)) assuming x is positive.\nAnswer: x**(-91\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(24)\/sqrt(6)) - (sqrt(5) + sqrt(180) + 1).\nAnswer: -6*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/432*-45*(-21)\/15?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + 0\/4 + 3. Suppose -3*b + 105 = 3*i - o*b, 4*i - 146 = 2*b. Is i a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 74051800 to the nearest one million.\nAnswer: 74000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-14)*8*11802\/(-10116).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28628656?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 2, 24168 in ascending order.\nAnswer: 2, 8, 24168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*r - 22 = -19*r + 31*r - 5*a, -28 = -3*r - a + 52 for r.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/(28\/(-50))*6\/(-3) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*z + 11. Let k(l) = l**2 + z + 10 - l - 21. Does 9 divide k(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -58, 6, 2, -243, 0 in descending order.\nAnswer: 6, 2, 0, -58, -243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y + 10. Let i be k(-7). Sort i, 4, -5.\nAnswer: -5, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*p + 29*p - 65*p**2 - 292*p**2.\nAnswer: -357*p**2 - 41*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 - 57*u - 376. Let r be b(-49). Solve -n = -3*q + 12, -5*n = -5*q - 2*n + r for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -2*s - 19 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 3, 5 in descending order.\nAnswer: 8, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.006 - -0.00599681. Round k to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*z**2 + 20*z**2 + 20*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p - 340 = -13*p. What is the greatest common factor of 17 and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 - i - 3. Let s(m) = 3*m - 404 + 402 + m + 4*m**2. Let k(b) = 2*h(b) - s(b). Let k(a) = 0. What is a?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/2*u**2 + 90*u + 175\/2.\nAnswer: 5*(u + 1)*(u + 35)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 62963017?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 7*p + 28. Let i(a) = 1. Let r(o) = -28*i(o) + j(o). Suppose -32*b - 230 = -55*b. Let t(y) = -16*y - 6*y + 25*y - b*y. Give r(t(h)).\nAnswer: -49*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3001650871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 53*g**2 + 179 - 7*g - 354 + 173 - g in the form v*g + p + s*g**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/7))**(2\/137) assuming x is positive.\nAnswer: x**(4\/959)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.1 - -1.1. Let j = 45 - 32. Suppose 15*m = j*m - 6. What is the third smallest value in z, -3\/4, m?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, -3, 4 in increasing order.\nAnswer: -3, 4, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**5 - 3*p**5 + 2*p**5 + (0*p**3 - p**3 + 0*p**3)*(-p**2 + p**2 - p**2) + 2*p**5 - p**5 - 2*p**5 + (2*p - 2*p - 2*p)*(-p**4 + 5*p**4 + p**4).\nAnswer: -8*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/8 - (-10)\/8. Let s be 0\/((-2 - 1) + t). Let j = s + 11. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 45, -0.5, 4, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 170 and -5.2.\nAnswer: 164.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -398*2\/4 - -4. Let j be (-4)\/30 - 2951\/x. Suppose 23370 + 17235 = j*r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = 19 - 29 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of 0 - 24*o**2 + 0*o**3 + 1\/72*o**4 + 0*o**5 + 0*o - 1\/360*o**6. Find l, given that c(l) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + -3. Let c be (3 + 0)\/3*u. Let w(r) be the third derivative of r**5\/60 + r**4\/4 + 2*r**3\/3 + r**2. Give w(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27036 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/2*(-150)\/(-15).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1797100 rounded to the nearest ten thousand?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 44 - 30. Let f = 14 - p. Which is smaller: 1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.4, -4, -26681995 in ascending order.\nAnswer: -26681995, -5, -4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 138 - 94. What is the greatest common divisor of 11 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -15*n**2 + 126*n - 216 = 0.\nAnswer: 12\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 140 + -2378\/17. Is l greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/2 + (-2)\/(-3 + 4).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318242 is divided by 158999?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/99*36\/24\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**5\/2 - 22*j**4 - 282*j**3 + 648*j**2 = 0. What is j?\nAnswer: -12, 0, 2, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17221403?\nAnswer: 17221403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 AM and 5:30 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-16)\/28*(1 + 18\/(-4)). Suppose 13*m - 12*m = -a. Let w be (57\/m)\/(1 + (-21)\/12). What is the highest common divisor of 190 and w?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*g**4 + 1407991*g**3 - 66*g**2 - 29226 wrt g.\nAnswer: 240*g + 8447946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66 + -62 - 26*(-2)\/(-14).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(-6)\/27 - (-65)\/9. Solve 3*q + o = 22 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 16 + -11 + 9 + -12\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -40 - -82. Suppose -2*f + 0*f = -4*g - 48, -3*f - 4*g + w = 0. Let v = 30 - f. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -0.5582\nAnswer: 1.6746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52 by -209446.\nAnswer: 26\/104723","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61707 is divided by 101?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -540958 divided by 49178?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -415a + -9a?\nAnswer: -4238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 542063 + -10?\nAnswer: 542053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**5\/3 - 10*i**4\/3 - 362*i**3\/3 - 854*i**2\/3 + 408*i = 0. What is i?\nAnswer: -9, -4, 0, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.039876773 to 2 dps.\nAnswer: 2.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 102?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6 + (-4)\/2 + 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 157 and 1618?\nAnswer: 254026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -40*1152\/90*(2 + -8 + 2). Calculate the highest common factor of t and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, -7, -32, -77, -148, -251, -392?\nAnswer: -577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-30)*-2*-6. Sort -2, 9, s.\nAnswer: -2, s, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2)*((0 - 1 - 1)*(9504 - 41*l - 9504) + 0*l + 3*l - 5*l).\nAnswer: -160*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -55*y**2 + 9*y + 5. Let x(a) = 82*a**2 - 13*a - 7. Determine -7*n(c) - 5*x(c).\nAnswer: -25*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-16)\/(-7) - 10\/35. Suppose -c = -8 - a. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s - 3. Let v be q(-3). Let f = -1 + 0. Which is the closest to f? (a) 4 (b) v (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 21*t**2 + 6*t + 6. Let l be a(3). What is the greatest common factor of l and 284?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 12*u**2 - 12*u + 10. Let s be g(-11). Solve -4*b = -5*q - s, 5*b - 5*q = 3 + 17 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1057914423?\nAnswer: 3, 43, 2733629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -145 + 143. List the prime factors of (7 + i)\/(3*2\/12).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 a factor of 109731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -236.5755021 and 3?\nAnswer: 239.5755021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 8:54 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 57401 and 57400 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 3. Suppose -3*z - 18 = -3*r, 3*r = 3*z + 2*r + 8. Which is smaller: a or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -3, -2\/29, -5 in decreasing order.\nAnswer: 11, -2\/29, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 6:54 AM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 177\/74 or 3?\nAnswer: 177\/74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*g*l**2*m - 2*g*l**2 + 6*g*l*m**2 - 140*g*l + 24*l**2*m**3 + l**2*m - 8*l*m**3 wrt l.\nAnswer: 14*g*m - 4*g + 48*m**3 + 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -s + 52. Suppose 0*u - 2*u = -s. What is the highest common factor of u and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -175*f*i**3 + 12848*f - 23*i**3 wrt i?\nAnswer: -525*f*i**2 - 69*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + i**2 + 2*i - 4. Let y = 1 + -4. Let w be g(y). Let u = w - 15. Does 4 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.9 + -0.1. Let t = -6 - m. Which is the second smallest value? (a) t (b) 0.4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 + -7 + -9 - 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 595 greater than or equal to 784?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 2 e, and 1 k when four letters picked without replacement from {s: 1, m: 1, w: 5, k: 1, e: 3, y: 2}.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12152478.\nAnswer: 2, 3, 13, 155801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -264 - 362*z + 3*z**2 + 1519*z - 407*z - 489*z.\nAnswer: 3*(z - 1)*(z + 88)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 165*-1 + (1 - 5). Suppose -5*a + 659 = 2*z, 4*z - 2*a = -3*a + 1327. Let g = c + z. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03129 times 275.59\nAnswer: 8.6232111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29522.67000044 + 29522.7. Let l = 0.02 - 0.05. Let p = i + l. Round p to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 231*v - 229*v = -8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3*4\/(-6))\/(2\/(-4)). Let w be 1*(-1 - b - -1). Let z be -1 + 32\/((-1)\/(-1)). Solve -5*k = -w*d - z, 2*k = 3*k + 4*d + 13 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90 + 75 + (2 - (1 + -2)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of -53 - 1\/49*v**7 - 9\/7*v**4 + 9\/70*v**5 + v + 4\/35*v**6 + 0*v**3 + 0*v**2. Suppose l(i) = 0. What is i?\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -69, -1, -2, -4, 3, -845 in descending order.\nAnswer: 3, -1, -2, -4, -69, -845","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m - 4*f - 28 = 9*m, -3*f - 24 = 3*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2345, 9295, 20879, 37097?\n\"Answer: 2317*v**2 - v + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.154 - 0.054. Put i, -2\/5, -6\/7 in decreasing order.\nAnswer: i, -2\/5, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12 + 1582*i + 25 - 162*i - 193*i - 11)*(4 + 8 - 10) in the form y + d*i and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/54 in -1\/9, 2\/3, -429\/2?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 3)*(-4*d + 0*d + 3*d)*(3*d + 0 + 0).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + r = 9, 0 = -5*h + 5*r + 27 - 2. Suppose -2*b = 1 + h, -z + 2*b = -12. Let q(u) = 11*u - 6. What is the tens digit of q(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5254943 - 16074871035\/3059. Let r = -4\/161 - g. Is r >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 87*r**2 + 18*r - 1394. Determine v(87).\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-2) + (-102)\/(-4). Suppose 9*k - a = 4*k. Let j = -151093.03 - -151093. Sort -2, j, k in increasing order.\nAnswer: -2, j, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*t**5 - 153*t**4 - 4*t**2 - 4256171*t?\nAnswer: 280*t**3 - 1836*t**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -22223 (base 4) to base 2\nAnswer: -1010101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -800*v + 264*v - 272*v - 256*v in the form d*v + j and give d.\nAnswer: -1064","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 {a: 3, b: 3, c: 5}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(24)\/sqrt(72)).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 108*q - 2034. Give j(21).\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -23*n*t**3 - 44*n*t - 409*t**3 + 10 wrt n?\nAnswer: -23*t**3 - 44*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 742871911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 18 = 3*g, 0*g + 29 = 4*g - 5*h for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**3 + 5*k**3 + 2*k**3 + (5*k - 4*k - 2*k)*(3*k**2 - k**2 + k**2) - 16*k**2 - 57*k**3 + 32*k**3 + 31*k**3.\nAnswer: 7*k**3 - 16*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133958.\nAnswer: 2, 11, 6089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (0 + 0 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t - 6. Let m be z(-6). Let v(q) = 10 - 6 + 0*q + 4 - q. Let l be v(m). Put 4, 5, l in decreasing order.\nAnswer: 5, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = l - 4 + 17, 5*l - 13 = -2*n. Let t = -3 - n. Let r = t + 16. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 5*g - 6 = -3*g, 5*g = 0. Suppose s*x = 4*a - 1946, -16*a + 3888 = -4*x - 12*a. What is x rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 14*o + 240. Let b be y(-17). Suppose 5*r = 5*u - 80, -3*u + b*u = 4*r + 4. Solve -4*z + u*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, v: 2, a: 2, g: 1, x: 4, d: 3}. What is prob of sequence dx?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*p**2 + 4*p**2 + 0*p**2)*(43 + 65 - 3) in the form d*p**2 + y*p + n and give d.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14003 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 3*x - 54. Let u be f(19). Find the first derivative of 2 + 3 - 4*t + 4*t - u*t - 6*t**2 wrt t.\nAnswer: -12*t - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 80605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5\/54 + 2\/27. Which is the second biggest value? (a) h (b) -2 (c) 4 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213*c + 465*c - 22940 = -556*c - 339*c for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -82 + 101. Let u = m + -19. What is the biggest value in -5, 0.5, u?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12155*a**5 - 7*a**4 - 3*a**3 - a**2 + 55797*a - 4.\nAnswer: 729300*a**2 - 168*a - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 9:01 AM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1698 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.13 + -0.13. Let f = 0.17 - 1.07. Let u = f - -1.9. Which is the nearest to u? (a) 0.4 (b) y (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -1. Let h(p) = p - 32. Let r be h(-24). Let g be (-96)\/r - i*2. What is the nearest to g in -0.3, -0.1, -0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/(-28) - (-550)\/14 - 3. What is the highest common divisor of b and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -6*v - 24 + 16*v - 6*v. Let k be i(6). Is k at most 5\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9817*((-2930)\/130 - (-6)\/(-13)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2103056 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*s**5 + 3*s**5 + 0*s**5 + (16 - 5 + 4)*(9*s + 4*s - 5*s)*(s - s + s**4).\nAnswer: 119*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 9, w: 2, k: 2, t: 2, i: 5}. Give prob of sequence iw.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j. Determine y(-14).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 511915589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 20 = -5*i, i - x - 3*x + 20 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -6169, -370\/7, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 198 + -1388\/7. Sort 3, -4\/7, r.\nAnswer: -4\/7, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6524 divided by 14?\nAnswer: -466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 5*u + 5*u)*(-2 - 3 + 7)*(2 + 2 - 6).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/x**6)**(-5\/8) assuming x is positive.\nAnswer: x**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 1 + (-11 - -16 - 7).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 j when four letters picked without replacement from jdddddjddd?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 4*j**2 + j + 244. Let d(v) = -3*v**2 - v - 163. What is 8*d(q) + 5*s(q)?\nAnswer: -4*q**2 - 3*q - 84","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(3\/7)\/t**(2\/13))**(-5) assuming t is positive.\nAnswer: t**(-125\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23029?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (-6 - (-1 + -6)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 95, 1018, -1, 0, -11 in increasing order.\nAnswer: -11, -1, 0, 95, 1018","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((1 + 420\/(-416))\/(2\/(-8)))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 - 7*j - 4. Let x be v(-3). What is the second derivative of 10*z**4 + 11*z - x*z - 4*z**4 wrt z?\nAnswer: 72*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 4 - 2*y + (4*y - 3*y - 3*y)*(-8 - 7 + 67) + (0 - 1 + 2)*(-2*y + 2*y + y) + 3 + 2*y - 3 to the form z*y + j and give z.\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in -537, -0.5, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4*y + 10 = -c, 3*c - 4*y + 10 = 0. Suppose -b = c*b + 9. Let a(f) = f**3 - 9*f**2 - 5. Let p be a(9). Put b, p, -4 in decreasing order.\nAnswer: b, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -4*l**3 + 40*l**2 + 7*l. Let y(p) be the second derivative of p**5\/10 - 5*p**4\/3 - p**3\/2 - 7*p + 271. Calculate 3*j(r) + 7*y(r).\nAnswer: 2*r**3 - 20*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -275 - -277. Solve p*t + h - 5*h = -2, 4*t + 7 = 5*h for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38 + 45. Let t = 11 - n. Suppose -t*c + 1688 = 4*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5732*s + 341668 - 18772 = 34*s for s.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -7*s**3 + 4*s**2 - 10*s + 4. Let w(l) = -l - 3*l**3 - 3*l**3 + 5*l**3. Let v(p) = h(p) - 6*w(p). Let u be (-525)\/(-50)*(-8)\/(-14) - 3. What is v(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + 59.98\nAnswer: 60.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3 (b) 3.9 (c) -2\/9 (d) 1 (e) 79 (f) 3\/8 (g) -0.3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9408 + 9432)*62\/24.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -4*g - 2*z + 18, -z + 9 = g. Solve -108 = -g*f - 84 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*l**3 + 7920*l**2 + 3928308*l + 7824968 = 0. Calculate l.\nAnswer: -989, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4199 is divided by 299?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17294 = -9*m + 1634*m - 25825 - 28381 for m.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-3)*((-42)\/(-6))\/49.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.2 (b) 0.3 (c) -3 (d) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 673740 a multiple of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 3*d. Suppose 3*w = -2*x - 0 - 17, d = -x - 2*w - 11. Let v(z) = -z**2 + 4*z - 2. Let n be v(4). Which is bigger: x or n?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i**2 - 5*i - 1. Suppose y - 2 = 2. What is the tens digit of s(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7341340 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -90426, -361686, -813756, -1446606, -2260206, -3254526, -4429536, -5785206?\n\"Answer: 5*i**3 - 90435*i**2 + 10*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (41 - 92 - -85) + -1 + (0 - 16).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3657 + 1042. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 6*g**2 + 15*g - 21. Let f(c) = 3*c**2 + 7*c - 10. Let b(p) = 9*f(p) - 4*o(p). Find r such that b(r) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 521253?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4579\/2 + -2240. What is the common denominator of -43\/2 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 603906 and 624990.\nAnswer: 1506","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-42))\/(15\/(-45)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 20 = -5*q, 4*q = 2*q - 4*n - 18. Let h = 1179 + -2303\/2. What is the common denominator of h and -3*(-2 + q) + 420\/(-32)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*r = 1174932 - 3372270. What are the prime factors of r?\nAnswer: 11, 13, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -859 + 864. Solve p = 0, -4*p + i = -5*l - p for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*1\/(-2)*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -145.85 plus 111.9?\nAnswer: -33.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 + -0.9. Let p = 2\/37 + 60\/259. Let u = -4.02 + 0.02. Which is the nearest to p? (a) k (b) u (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-12)\/(-16))\/((-2)\/(-8)). Suppose -12 = -b*p + 18. Let q = p - 5. Is 5 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 871 to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 36*k = -33*k - 14, 0 = -k + 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 568 = 3*j, 0 = -4*j + 5*v + 568 + 194. Suppose 0*o = -z + 2*o + 94, -2*z + 3*o = -j. Calculate the greatest common divisor of z and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 3*x + 26, x - 27 = -6*l + l. Let q = 1231.5 - 1232. Which is the nearest to -1\/2? (a) q (b) l (c) 15 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 38*l**2 - 80*l + 52. Calculate the smallest common multiple of 20 and i(40).\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13115699 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*(82\/861)\/((-3)\/(-42)). Let r(n) = 272*n - 85. Let v(u) = -13*u + 4. Calculate l*r(k) + 85*v(k).\nAnswer: -17*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 220990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1810531157 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*z = -106 + 206 - 19. Sort 64, z, -26 in increasing order.\nAnswer: -26, z, 64","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21333 + -90.\nAnswer: 21243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.5, -1\/15, 0.5, 3\/8?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 204 + -201. Let y be ((-261)\/(-15) - -2) + 3\/5. Solve 0 = -2*p - f*p + y for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(1\/23)*n)**33)**(-10) assuming n is positive.\nAnswer: n**(-14850\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/21 and (-4)\/18*222*1\/(-14).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 140 and 1855.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/571 or 0?\nAnswer: 1\/571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2*c**2 - 1 - 5*c**2 + 49*c**2.\nAnswer: 42*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r*r**4)*r**(1\/6)*r*r*(r\/(r\/(r**(-4)\/r*r)))**4 assuming r is positive.\nAnswer: r**(-107\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of 3*k**5\/20 - 6*k**4 - k**3\/3 - 155*k**2\/2 + 327*k - 2. Find the second derivative of u(l) wrt l.\nAnswer: 18*l - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 149 = -x, 2*g - 4*x + 30 = 94. Is g even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b\/(b*b*b*b\/(b*b*b**14))*b)\/b*b*b\/(b\/(b**(-9)\/b)) assuming b is positive.\nAnswer: b**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 687 and 18.\nAnswer: 4122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*q - 2*a, q + 8 = -0*q + 2*a for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 1, -3\/2, -0.4, -3597, 0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 316 and 24?\nAnswer: 1896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 9*z**2 + 2*z - 9. Give f(9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*d - 1 - 5*d**4 - 8247*d**3 + 16493*d**3 - 8240*d**3 - 1 + d**2 to l*d**3 + g + o*d + f*d**4 + q*d**2 and give o.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(3)*-1 - (sqrt(15)\/sqrt(5) + 1).\nAnswer: -1 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11810278105 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a + -1d3c?\nAnswer: -1d46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 19 (b) -0.5 (c) -1 (d) -3823 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 3*x - 6*x)*(-1 + 2*x + 1)*(-7 + 7 - 22)*(3 - 4 + 0)*(-2*x + 2*x - 2*x + 172).\nAnswer: 88*x**3 - 7568*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (0 - -4 - (-7 + 6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*v**2 - 23*v + 8*v + 15*v to the form r*v + o*v**2 + a and give o.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x + 17. Let v be y(12). Suppose 51 = v*q - 209. Calculate the remainder when 206 is divided by q.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -7*b + 33. Suppose 0 = 15*g + 107 + 13. Let k(p) = -11*p + 49. Calculate g*i(z) + 5*k(z).\nAnswer: z - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.2282 plus 68776?\nAnswer: 68810.2282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 22. Suppose 4*i - 4*q + t = 2*i, -20 = -5*i - 5*q. Let j = 0 + i. Which is smaller: 1\/3 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6094 = -3*h - 19*h. What are the prime factors of h?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-50)\/(-40) - 1)*12\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 5*h = -0*n - 179, 0 = -4*n + h + 800. Differentiate -199*d + 4*d**3 + 3*d**4 - 32 + n*d with respect to d.\nAnswer: 12*d**3 + 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 738 and 342.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*n**2 - 2*n**3 - 4*n**2 + 7*n**3 + 18*n**3.\nAnswer: 23*n**3 - 22*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*o**2 + 5*o**2 - 3*o**2)*((5*o**2 - 12*o**2 - 18*o**2)*(2 - 1 - 4) + 2 + o**2 - 2) in the form c*o**4 + h*o**2 + n + i*o**3 + v*o and give c.\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -463*h + 238*h + 229*h - 3 + 24. Let p(j) = -4*j**2. Give v(p(w)).\nAnswer: -16*w**2 + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -66 + (157 - 66) + -66?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 70 and 220?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 84874572 by -31646.\nAnswer: -2682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4128 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2, -30, -104, -238, -450?\n\"Answer: -3*r**3 - 3*r**2 - 2*r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 15. Suppose -2 - k = -2*t. Factor -3 - 4*n**2 - n**3 + n + 5 + t*n**2 - 1.\nAnswer: -(n - 1)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2499) + (2*sqrt(2499) + sqrt(2499))*-5 + sqrt(2499))*-4)\/((-4*sqrt(243)*-2 + sqrt(243))*1))**2.\nAnswer: 2252432\/6561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five eighths of a litre in millilitres?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -537*a - 9825. Determine s(-13).\nAnswer: -2844","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2106)*-3)\/(-4*sqrt(162)).\nAnswer: 3*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*f**4 + 5482*f**3 + 399829*f**2 + 537038*f + 142680 = 0.\nAnswer: -410, -87, -1, -4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -29217 (base 12) in base 3?\nAnswer: -2220122101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3 and 10.944942172821.\nAnswer: 10.644942172821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2905 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l - 3. Let d be -8*5\/((-240)\/18). Suppose -3*p = -d*z + 9, -6*p - 5*z - 35 = -p. Calculate g(p).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 261 a factor of 495639?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 958861 (base 10) in base 9?\nAnswer: 1721271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 5 (b) -2\/5 (c) 3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -130234 (base 7) to base 10.\nAnswer: -24133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -1337*y. Let p(q) = 28*q. Give m(p(r)).\nAnswer: -37436*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1496616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14278 (base 10) to base 12.\nAnswer: -831a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 3*u + 3798, 0 = -4*i + 5*u + 591 + 4476. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-22) + (-9)\/(99\/(-178)). Which is the biggest value? (a) z (b) -3 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*x - 0. Let n be 1 - (x\/3)\/1. Differentiate -3 + 0*c**4 + 1 + n*c**4 wrt c.\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 3*w + 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**3 - 151*r + 18*r**2 + 19 - 20 + 150*r to q*r**2 + j*r + z + v*r**3 and give q.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/(-4))\/((-2)\/28). Suppose -r - 5*b + z - 3 = 0, -r + b = -18. Calculate the greatest common factor of r and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 33 = -k. Suppose -4*r = 2*c + k, -46 = 4*c + 4*r - r. Let f = c + 17. List the prime factors of f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5033200 (base 6) to base 11\nAnswer: 152802","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/(-12*3\/(-15)*(-55)\/(-132))\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, k: 7, a: 7, i: 1}. Give prob of picking 2 k and 1 i.\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (65\/10)\/(2\/(-8)*-2). Let c = -35 - -83. Let j = c - m. What are the prime factors of j?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = 3*m + 12, 266 = -2*m - 4*a + 258 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.58278482 to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 69\/(-21) - -3 - 30\/(-7). Suppose d*x - 1558 + 520 = -5*q, -4 = -2*q. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -27*r + 335. Determine l(12).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 4*h - 0*z - 348, 4*h + 2*z = 318. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 1.4. Let v = 0.03 - 2.03. Let m = -0.2 + 0.3. Which is the closest to m? (a) 3 (b) g (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/2)\/((-21)\/28)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7819 - -7811. Suppose g = -g. Which is the second smallest value? (a) -2\/15 (b) n (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -226a186 (base 11) in base 12?\nAnswer: -13b3597","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*l**2 - 10*l**2 - 11*l**2.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13063987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z + 15. Let g be x(7). Let u be g - (-1 - (-128)\/54). Which is bigger: -1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hxhfa. What is prob of picking 1 f and 1 h?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 97, 524, 1235, 2230, 3509, 5072?\n\"Answer: 142*g**2 + g - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19251)\/(-27945) + (-12)\/(-60).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1524 and 4056?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*g**4 - 16*g**3 - 3889*g**2 - 8848187*g wrt g?\nAnswer: 36*g**2 - 96*g - 7778","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3221 - -1?\nAnswer: 3222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4137661?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 AM and 9:28 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 44176*a**4 + 35*a + 2560458 wrt a?\nAnswer: 176704*a**3 + 35","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 1 - (5 + -7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 105 + -23 + -122 - -102.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2639732223?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 11:50 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/20640692 and 67\/355874.\nAnswer: 20640692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - 5*y - 4. Let i be b(5). Does 46 divide ((-48)\/10)\/(i + (-3668)\/(-920))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1207245 and 9840?\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13755 = 29*n - 24*n. What are the prime factors of n?\nAnswer: 3, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 589986?\nAnswer: 2, 3, 73, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (-1680)\/(-40) - (-10)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3506 and -0.4?\nAnswer: -0.14024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1052429 and 1353123.\nAnswer: 9471861","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 173 divided by 173.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1782.15 + -1782. Which is bigger: j or 0.087?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 250, 278, 308, 340, 374, 410, 448?\n\"Answer: u**2 + 25*u + 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 + (0 - (-1 + 3)) + -1. Solve 3*w = -5*k + 7, 4*w - 3*k = -m*k - 6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + (-38 - (140 - 226))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 108 = 0, -1339*m + 1345*m - 2*s - 78 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2368 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 5*o + 240 = 0, -5*r + 9 = 4*o - 231. Calculate the highest common factor of 120 and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1699 and 14565784.\nAnswer: 14564085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2510 + 2539.97. Let n = 0.03 + o. Let j = n - 30.2. Sort 5, -4, -5, j.\nAnswer: -5, -4, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + 3335?\nAnswer: 3335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 207.7351l in millilitres?\nAnswer: 207735.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 3*l**2 - 11*l - 6. Let f be q(-5). Let d(t) = 127*t**2 + t. Does 18 divide d(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*x + 11*x - 978*x**2 + 491*x**2 + 488*x**2 - 25*x.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184*v + 6*g - 2*g = -880, 4*v + 99*g = 102*g - 50 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4669437 divided by -150627?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (128\/(-132) + (60\/18 - 5))?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 204 and 12668196.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 5*c = 40. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + -1. Let b = a + 1. What is the second smallest value in 2, -0.4, b?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2104*g - 12635. Calculate q(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7a (base 16) in base 15?\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82457.12 centuries to years.\nAnswer: 8245712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -7*m + 6*m + f, -5*f = -20. Let l(c) be the third derivative of 1\/12*c**5 + 0*c**4 - c**2 + 1\/120*c**6 + 2\/3*c**3 + 0*c + 0. Determine l(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -4.2. Let u = 0.6 - p. What is the third biggest value in 4, -2\/11, u?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -3*q + 4. Let o(g) = 1 + 0 + 5 + 11 - 13*g. Suppose 18 = 4*s - 18. Calculate s*d(h) - 2*o(h).\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4531\/6 + -755. What is the closest to -2\/3 in -0.2, 2\/9, u?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168*h - 216 = -172*h. Does 3 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 8*l + 526. Give a(-76).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*x - 46 + 21 + 2*x**2 - 4*x to i + c*x + p*x**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.034 - -5.72. Let a = u + -0.6246. Let y = a + -0.037. What is y rounded to 3 dps?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a**2 + 3*a - 82. Let k(x) = -2*x. What is k(o(w))?\nAnswer: 4*w**2 - 6*w + 164","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 146.3 * -4.36.\nAnswer: -637.868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 59637 + -59625. Let s = 33874\/15 + -11236\/5. Is s at least as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/(((-285)\/(-247))\/15). Put -0.3, 3, i, 1\/10 in descending order.\nAnswer: i, 3, 1\/10, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1755 in 1\/2, -4, -1\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -3*h - 23. Calculate u(-18).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnny when four letters picked without replacement from {n: 11, y: 4, c: 4}.\nAnswer: 55\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -15, -224, 2, -4, 1.\nAnswer: -224, -15, -4, 1, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 3*b + 30 + 8 = 0, 7*v - 2*b = -48 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = -5*a + 76*q - 74*q, 3*a + q = 13 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 9:23 PM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27668 - -27676. Let l be (3\/4)\/((-2)\/(-8)). Calculate the greatest common factor of l and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 51.7 in 1\/2, 8.1, 4\/5, 0.05, 2\/5?\nAnswer: 8.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 2*u + 3*u)*(-4 + u**2 + 85*u + 0 - 84*u).\nAnswer: 3*u**3 + 3*u**2 - 12*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11880 and 355168440?\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 5 + -3 + (-2 - -10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuyo when four letters picked without replacement from ooooyoyououu.\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -5*f - c - 671, -2*c = 2*f + 272. Let y be (-32)\/(-90) + (-3)\/f*-6. What is the nearest to y in -0.4, -1\/3, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -285*d**3 - 2*d**2 + 1103.\nAnswer: -855*d**2 - 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1831795385?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -239*m + 229*m - 50 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -15\/4613 (c) 37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence trr when three letters picked without replacement from {u: 1, t: 1, r: 6, z: 4, b: 1}.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 0 + 5 - (10 - (-76 + 115))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 30, -15, -5 in decreasing order.\nAnswer: 30, -5, -8, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -4*o + 32. Calculate z(11).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2112312003 (base 4) in base 5?\nAnswer: -124232414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*y = 14*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 3)\/((-8)\/(-12)). Let c be -1 - (0 - q) - -8. Solve 0 = c*g - 16 + 4 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hvn when three letters picked without replacement from zhvzztttnn.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 365 (base 13) in base 4?\nAnswer: 21032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of 1\/3*y**3 + 2 - 2*y + y**2. Calculate m(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppeeppepep. What is prob of picking 2 p?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 11134803.67 to the nearest 100.\nAnswer: 11134800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -121 in -203, 1\/6, -1\/2, 6?\nAnswer: -203","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-8) - (-1)\/2. Suppose -14 = -y - m, -l = -2*y + 4*m + 3. Is (-2)\/y + 912\/10 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 846 and 1786.\nAnswer: 16074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4221)\/(-45) + (-2320)\/17400 + 16\/(-6).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -200111032220 + -12?\nAnswer: -200111032232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 + 8*p + 6. Let m be c(8). Suppose -m*d = -11*d. Solve d*u + 2*u + 2 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-476*58\/2030)\/((-8)\/(-10)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -71*-1*(-1 - 0). Let s = z + 124. Calculate the remainder when s is divided by -5 + 7 + -2 + 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -12*n + 2646. What is the hundreds digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/3876 + 55207\/100776. Calculate the common denominator of -47\/80 and o.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -285971 at least -285972?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5030 or 25147\/5?\nAnswer: 25147\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1455 by -2.\nAnswer: 1455\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 25985747 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 28*s - 31. What is u(-6)?\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41 by 620.\nAnswer: 41\/620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6 - -6) + (5 - 0). Suppose -t*w - 3*b = -62, -3*w + 3*b + 2 = -16. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05003622807 rounded to three dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 70*p - 12. Let r(l) = -209*l + 38. Let b(h) = 19*q(h) + 6*r(h). Let t(w) = 2 - w**2 + 7 - 9. Determine b(t(y)).\nAnswer: -76*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5959*y - 5921*y + 17802*y - 5923*y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g**2*q**2*r**2 - 3*g**2*q*r**2 - 2*g**2*q*u + g**2*q - 2*g*r**2 - 2*q**2*r**2 + q**2*u - r**2*u wrt q?\nAnswer: 2*g**2*r**2 - 4*r**2 + 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 265 + -246 + (2 - 18).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-4 - 1 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide (-110 + 90)\/((-4)\/(-28704)*-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 + 9*w**2 - 22*w + 10. Let v be (1 - (1 - -22))*(-2)\/(-4). Let c be z(v). Is c greater than or equal to 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from enen. Give prob of sequence enn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -10, -5*a + 5*k + 0*k = 65. Let t = 44 + 4. What is the remainder when t is divided by a\/30 + (-7)\/2 + 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -11.5, -0.4, -0.3, -4.4, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -10511, -42148, -94911, -168794, -263791?\n\"Answer: m**3 - 10569*m**2 + 63*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 7*p = -6*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (5 - 6)) + -6 + 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34*x**2 - 146*x**5 + 7*x**2 - 245*x**5 + 1 - 2 + 121*x**5 wrt x?\nAnswer: -16200*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1582.466263 - 1568.4663. Let j = 14 - q. What is j rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 137, -4, -68 in ascending order.\nAnswer: -68, -4, -0.3, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - z**2 + 4 - 3*z - 3 + 2 - 1. Let w be n(2). Is 1 != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(833) + 3)*3 - sqrt(833))**2.\nAnswer: 252*sqrt(17) + 3417","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/(-70))\/(14\/(-49)). Sort -3\/13, 2, a, 6 in descending order.\nAnswer: 6, 2, a, -3\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26*b**3\/5 + 181*b**2\/5 + 149*b\/5 - 6\/5.\nAnswer: (b + 1)*(b + 6)*(26*b - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 79 + 2*f + 55 - 19 + ((0 + 2 + 0)*(0*f + f + f) + 7*f - f - 3*f)*(8 + 29 + 11).\nAnswer: 338*f + 115","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4273 is divided by 1366?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 163 in 0.4, 0.3, 2\/13?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.106721 in -0.4, -0.2, 2\/67?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12426 and 46207389?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0.3 (b) -0.1 (c) 2\/5 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 7. Put -1\/7, 12, y in increasing order.\nAnswer: -1\/7, y, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/36*426\/(-71))\/(36\/(-12)).\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6956*i**4 - 989*i + 1 wrt i?\nAnswer: -83472*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -2) + (2 - 3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -352*x - 2009*x - 54303 = 0 for x.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3933*r**3 + 1312*r**3 + 1315*r**3 + 1308*r**3 - 183.\nAnswer: 2*r**3 - 183","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 4*o + 1649. Let x be (-18)\/(-63) + (-12)\/(-7). Suppose 5*n - 1647 = -0*b + b, 0 = -5*n + x*b + o. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34391 and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 3 = s, 0*s + 4*h + 44 = 4*s. Suppose 5*g - s*g - 64 = 0. Put -4, -5, g, -2 in descending order.\nAnswer: -2, -4, -5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 237502?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 313 + 3*p**2 - 313 + 426314072*p - 426314072*p.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 24 = -6*g, -2*g = -8*p - 5054 + 5028 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3841, 15371, 34587, 61489, 96077, 138351?\nAnswer: 188311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1461*n**2 - 1960*n + 8346358?\nAnswer: 2922*n - 1960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 16) in base 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 1272393892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -2*t + 2, -m = -5*m + 8. Suppose -t*u + 8 + 2 = 2*h, 3 = -h. What is the derivative of u - 4*x**3 + 1 + 9 + 18*x**3 wrt x?\nAnswer: 42*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, 4\/7, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 6:49 PM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 228070?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a**2 + 2. Let h(g) = 2*g - 37*g - 2*g**2 + 14*g - 11 + 6*g. Let l be h(-7). Let u(z) = -z**3 + z**2 + 1. Determine l*c(x) + 8*u(x).\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c - 20 = 10*t - 6*t - 2*c, 0 = 2*c for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 25, 82, 177, 310, 481, 690?\n\"Answer: 19*v**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -26*v**3 + 3*v**2 + 5*v + 5. Is 43 a factor of r(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2*z = 152, 4*z = -19*a + 22*a - 109. Suppose -66 = -g - h, h - 2*h - 182 = -3*g. Let w = g - a. What are the prime factors of w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 8094 = 1393*d - 1392*d, 3*s - 24282 = -3*d. Is d a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 PM and 3:12 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 747.\nAnswer: 5229","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -526*i. Let m(b) = 336*b**2. Calculate m(a(k)).\nAnswer: 92963136*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((108*t + 30*t**2 - 108*t)*(-2 + 1 + 3) - 2*t**2 - 2*t**2 + 5*t**2)*(t**2 - 2*t + 2*t) to n*t**4 + o*t**2 + z*t + m*t**3 + i and give n.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of v**7\/1365 + v**6\/390 - 61*v**5\/390 - 151*v**4\/78 - 120*v**3\/13 + 2396*v**2. Determine w, given that p(w) = 0.\nAnswer: -5, -4, -2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 2*h**2 + 6*h - 5. Let m be w(-5). Suppose m = c + 39. Suppose -4*z + 15 = -5*u, -z + 3*z + 3 = -u. Put -1, c, z in descending order.\nAnswer: c, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45, -76, -97, -108, -109, -100?\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 11:45 AM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 472*c = 457*c + 795. What is the remainder when 78 is divided by c?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*t - 24*t = 25. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121 (base 12) in base 9?\nAnswer: -207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 11) to base 15.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 18*x**2 - 19*x + 13. Let q be t(19). Suppose 0 = 6*r - q*r. Is r at least as big as 1\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) + sqrt(216)\/(sqrt(24)\/sqrt(2)) + (sqrt(72) + -1*sqrt(72) + sqrt(72) - sqrt(72)))\/(sqrt(27)\/(sqrt(3)*2) + sqrt(63)\/(sqrt(7)*1)).\nAnswer: 4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + 17*b + 11. Suppose 4*y = -3*i + 133, -143*i + 168 = 4*y - 147*i. Calculate the remainder when f(8) is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -0.2 (c) 2074 (d) -0.4 (e) 1.4 (f) -1 (g) -113\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -2*n**5\/3 + 19760*n**4\/3 - 630784*n**3\/3 + 5042176*n**2\/3 = 0.\nAnswer: 0, 16, 9848","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3705.00028331 + -3705. What is t rounded to 5 decimal places?\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 + 26\/(-6))*233226\/(-210) a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-81))\/((-4)\/(-24))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, -1, 12.59?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -6*n + 210. Suppose -z + 133 = 6*z. Let h = z + -10. What is the lowest common multiple of h and n?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ip when two letters picked without replacement from qiqiqqqirqpoqiqqi?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*j**2 + 3697 + 52*j**2 - 404 - 27*j**2 to s*j**2 + r + x*j and give r.\nAnswer: 3293","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 316 - 3475\/11. Sort 5\/2, d, -5, -3\/4.\nAnswer: -5, -3\/4, d, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75389392?\nAnswer: 2, 13, 362449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-9) + 13\/3. Let s be 6\/b*(-2)\/(-1). Let x(g) = 2*g - g**2 - g**2 + g**2. Give x(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7355 is divided by 7245.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.19, 2, -2, 1\/2, -0.1389 in increasing order.\nAnswer: -2, -0.19, -0.1389, 1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -11*h - 70. Calculate the remainder when w(-19) is divided by 71.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -374, -760, -1148, -1538, -1930?\n\"Answer: -k**2 - 383*k + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3367394385.\nAnswer: 3, 5, 224492959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3925?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -83, -162, -241, -320?\nAnswer: -399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 5*s**2 - 3*s - 2. Let q be (-74)\/14 - 2\/(-7). Let w be (q + -3)*1\/(-2). Let t be k(w). Is t at least 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12911, -25851, -38791?\nAnswer: -51731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -74547, -5, -2 in decreasing order.\nAnswer: -2, -5, -20, -74547","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006333358 rounded to 6 decimal places?\nAnswer: -0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-28)*0*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 6*x + 68 = 0. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -s**4 - 5464*s**3 - 7437*s**2 - 7380874*s + 21.\nAnswer: -12*s**2 - 32784*s - 14874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 + -1147014.456?\nAnswer: -1147014.656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -717\/91 - -30\/13. Calculate the common denominator of -15\/76 and c.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -6*v**3 + 0*v**2 + 0*v - v**2 + 0*v. Let s be q(-1). What is the common denominator of s\/(200\/(-364)) + 0 and 65\/22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91598 is divided by 2234?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 1. Let x be z(-1). Suppose -2*k - 5*m - 5 = x, -3*k - 3 = 4*m + 1. Is (1\/(-1) + k)*-19 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 2*sqrt(3))*6 - (sqrt(12)\/(sqrt(144) + sqrt(4)) + 4)**2.\nAnswer: -493\/49 + 76*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 310169?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 2 - 1)*(0*z - z + 0*z) + 3*z - z - 5*z + 0*z + z - 2*z)*((-2*z + 2*z - 3*z)*(2 + 1 - 2) + z + 3*z + z).\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-14 - -2)\/3)\/(-2). Let g(c) = c - 39. Let b be g(38). Are b and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, r: 2, s: 2, w: 2, a: 4, p: 1}. Give prob of sequence asp.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of -1447*p**6\/120 - p**4\/24 + 14*p**3\/3 - 1326*p**2. Find the second derivative of i(v) wrt v.\nAnswer: -8682*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -3*f - 41, f = 3*h - 9 - 18. Let u(x) = 10*x - h - 6*x + 2*x + x**2. Give u(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 213.7 - 230.7075. Let r = z - -17. What is r rounded to 3 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w**2 - 4*w - 1. Let v be y(3). Let h = -39 - -41. Solve v*r - 3 = -5*l + 12, -h*r + 3*l = 19 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w + 6 + 3 - w**2 - 3 - 9 + 2 to the form b*w + l*w**2 + u and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f**3 - 27*f**2 + 70*f - 406. What is the least common multiple of x(12) and (-6)\/(-1 + 2\/3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 - 4b937?\nAnswer: -4b930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-3\/5)*m*m**2*m**(-3\/2)*m\/(((m\/m**2)\/m*m)\/m)*m)**28)**(-27) assuming m is positive.\nAnswer: m**(-18522\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.31 from -9.9.\nAnswer: -9.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**2 - 2*x - 1. Let k(j) be the first derivative of 2*j**3 + 4*j**2 + 4*j - 114. Let i(g) = k(g) + 4*p(g). Let o(t) = -2*t - 1. Calculate i(o(z)).\nAnswer: -8*z**2 - 8*z - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 w, and 2 b when four letters picked without replacement from {b: 3, m: 9, w: 1, t: 3, f: 2, h: 1}.\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.077518004 to 4 dps.\nAnswer: 6.0775","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7\/6? (a) -3\/2 (b) -1\/5 (c) -1 (d) 14\/5 (e) 567\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -219*o**2 - 8*o - 9. Let g be m(-6). Let a = -62679\/8 - g. Find the common denominator of a and -1\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - 3*u**2 - 4*u + 3. Let r be (-80)\/(-24)*(-6)\/(-5). Let i = 8 - r. Let m be x(i). Solve 5*f - 25 = -m*s, 16 = -3*s + 3*f + 1 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 94\/18 - (-2)\/(-9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -22*l - 1. Is q(-1) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-4))\/((-7)\/28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - 2 - (5 - 10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/72 and -77\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 401 (b) 2\/3 (c) -2 (d) -0.5 (e) -0.3 (f) -44\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 47 - 16. Let r = -95\/3 + h. Which is the closest to r? (a) 0 (b) 1\/2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 431.65 + 7.35. Let g = -437.602 + h. Round g to one dp.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, p: 3, w: 5, n: 1, v: 4, c: 1}. Give prob of picking 1 c and 2 v.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 d when two letters picked without replacement from {i: 3, h: 1, d: 12}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 24*f**2 + 144*f - 12. Determine i(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.4 + -2.3. Let t = 2.1 - a. What is the second smallest value in 1\/7, -3, t?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of 3*i**2\/2 - 3*i - 3. Is 5 a factor of z(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -84*l**5 - 5043*l**4 + 10158*l**3 - 4479*l**2 - 924*l + 372 = 0?\nAnswer: -62, -2\/7, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 111101?\nAnswer: -1000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 32? (a) -1\/4 (b) -0.3 (c) -1\/6 (d) -517.5 (e) 3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 1:27 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 459 + -243. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x - 2. Determine f(-8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/4 or -1405792?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + -3 + 2 - -1 - -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 3*s + 5. Calculate l(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 (base 14) in base 12?\nAnswer: -87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7548 = 9*z - 42*z - 69*z for z.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3 + ((sqrt(108)*1*-2)**2 - ((sqrt(432) - (-2*sqrt(432))**2) + 0))).\nAnswer: -12*sqrt(3) + 2157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 - 114?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12022110120220 (base 3) in base 8?\nAnswer: 12613246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vw when two letters picked without replacement from cewvvmwevewtccw?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.223092 decades in millennia?\nAnswer: 0.05223092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -1 - (2 + (-13 - 15) + 17).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u - 11*u = -80. Let q be (-196)\/u - (-8)\/(-10). Differentiate 10 - q*s**4 - 7 + 8 with respect to s.\nAnswer: -36*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 31*j + 186. Determine o(-4).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 3*a**2 + 32*a + 60. Is x(-20) a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50907095 to the nearest integer?\nAnswer: 7135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 2*a**2 - 6*a - 4. Let d be p(-1). Let q be 7\/(6 + 1) - d. Solve 4*o + 6 = q*n - 8, -4 = 3*o + 5*n for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.291439051 to 2 dps.\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(1\/3)*p**22*p*(p**(-20)\/p)\/p*p*p*(p\/(p\/p**5))\/p assuming p is positive.\nAnswer: p**(22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0019513 to five decimal places.\nAnswer: -0.00195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/7))**(-50)\/(j**(1\/3)*j\/(j*j*j*(j\/(j**3*j))\/j*j))*(j**5*(j\/j**(2\/17))\/j)\/((j*j*j**(-2\/13))\/(j\/j**(-1\/8))) assuming j is positive.\nAnswer: j**(635393\/37128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*h = -251*h + 121*h + 1656. Calculate the remainder when 695 is divided by h.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 4:59 PM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 275032?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 90, 176, 260, 342, 422, 500?\n\"Answer: -b**2 + 89*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -3. Let v be ((-6)\/(-4))\/(l\/(-4)). Let u = v - -8. Does 3 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -12. Let a(p) be the first derivative of -p**3 + p**2\/2 - 3. Let d be a(-1). Put -1, d, x in decreasing order.\nAnswer: x, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, 77, 151, -0.8?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 180332 (base 9) to base 11\nAnswer: 77005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + m - 21089994 = 3*z, 5*z + 21089990 = m. What is m rounded to the nearest one million?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1155653 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4923 - -4.1014. Round u to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1528 - 1494.95. Let k = d - -0.95. Which is the second smallest value? (a) 0.1 (b) k (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a centimeter in micrometers?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -744 divided by -2.\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4*h**2 + 2988*h - 5982. Calculate p(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 67372?\nAnswer: 67372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-12) + 171\/12. Suppose 8 = -4*c, 2*c + 2*c + b = 3*j. Sort 5, j, -1 in increasing order.\nAnswer: -1, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2905 - 2905.1. What is the nearest to r in 0.3, 4, -2\/15, -1\/4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41 - ((21 + (12 - (15 - 3)) - 10) + -12)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**5 + 1007041*c**4 - c**3 - 12934133*c**2?\nAnswer: 60*c**2 + 24168984*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-70 - (-13 + -24)) + 12?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -223*w = -222*w - 84. Let k = 29 - -27. What is the greatest common factor of w and k?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 174 less than -11409.7?\nAnswer: -11583.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 2*q + 7*q)*(2 + 3 - 3) - 43*q - 38*q - 31*q.\nAnswer: -98*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 2 + -6 - -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34*31\/3162)\/(-1*1).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 4*z - 56, -a - 5*z + 6 = 41. Let y be 3 - 5 - 64\/a. What is the closest to 0 in 0, 0.4, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 7145573160?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + 9*z - 4. Let h be n(-10). Let s be 81 + -43 + -1*h. What is the highest common divisor of s and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*u + 422 - 100 + 119 = 0. Solve x = 5*l + 15, -u*x + 17 = -3*l - 8*x for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 13, 22, 57, 130, 253, 438, 697?\n\"Answer: 2*d**3 + d**2 - 8*d + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6493.\nAnswer: 43, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 - 11 - 12 - 7 - 2*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -4*j - 5*r - 24, 2*j = 3*r + 25. Which is the third smallest value? (a) -32 (b) -3 (c) j (d) 2\/3 (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 150217 and 3?\nAnswer: 150214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000006298937 to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1381, -1222, -1063?\nAnswer: -904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -160 - 149. Let g = y + 2404. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of -13*s**5\/120 + 7*s**4\/6 + 17*s**3\/6 + 15*s**2. Let q(h) be the first derivative of j(h). List the prime factors of q(-4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9644174 decades in years?\nAnswer: 9.644174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -43 + -1 + (1 - -5) + (7 - 10).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 6:26 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28939, 57872, 86807, 115744, 144683, 173624, 202567?\nAnswer: 231512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (sqrt(27) - sqrt(81)\/sqrt(3)))*-5 + -5 + (sqrt(300) + (sqrt(300) - (0 + sqrt(300))))*-4)**2.\nAnswer: 1600*sqrt(3) + 5200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -1907.8\nAnswer: 3815.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g - 7. Suppose 0 = -5*m - 1 + 36. Let v be 1\/1 - (-11 + m). Give f(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2400, -4494, -6588, -8682, -10776?\n\"Answer: -2094*y - 306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -99 + s**2 + 3*s - 14*s + 52. Determine x(14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3*s + 12. Let c(v) = -12*v - 45. Let i be c(-4). Let k be p(i). Solve -3*z - 15 = 0, 8*x - k*x + 4*z = -15 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**4 - 3*w - 2 - w**3 - 2*w**2 + 2*w**2 - 2*w**2 + 4*w + 0*w in the form p + h*w**3 + d*w**2 + y*w + r*w**4 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 l when four letters picked without replacement from {n: 2, f: 3, l: 4}.\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 274223336 to the nearest integer?\nAnswer: 16560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -331*r + 337*r - 30 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -891, -3556, -7999, -14220?\n\"Answer: -889*s**2 + 2*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-140)\/14 + 186\/3. Let o be (-4 + 2)*-2*2. Suppose -9*a = -o*a - 13. Calculate the greatest common factor of a and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.7, 3094, -1\/5, -0.03, -4 in descending order.\nAnswer: 3094, -0.03, -1\/5, -4, -4.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80240 and 3152888.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-37)\/9*(68 - 6699\/87)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 PM and 11:55 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2280?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -133 + 208. Suppose 8*y = 2403 - d. List the prime factors of y.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 21*v + 1159. Is t(71) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001100 - 1010010111011010111?\nAnswer: -1010010111010001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 3*w - 9 = 0. Differentiate -2*c**w - 2*c**3 - 3*c**3 + 5*c**3 - 1 wrt c.\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -12*h + 37. Let w(u) = 12*u - 36. Let r(a) = -4*w(a) - 5*x(a). Is r(4) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 6 + -11 - (6 + -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + n = -30. Let a(d) = d**3 + d**2 - d - 1. Let j(f) = 5*f**3 + 15*f**2 - 10*f - 26. Let m(k) = -6*a(k) + j(k). What are the prime factors of m(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*m + 11477 = -10069. Is 14 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4103440871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -2.01. Let r = -0.41 - t. Let w = 1\/36 - 5\/18. Sort r, w, 0.2.\nAnswer: r, w, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -9.8. Which is the closest to s? (a) 3 (b) -4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of -p**4\/6 + 2*p**3\/3 - 2*p**2 - p. Let c be b(3). Let j be 32\/c*1*-5. Solve -5*l + 4*r - r - j = 0, -2 = -2*l - 3*r for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -1. Suppose -20 = -4*c - u*c. Is c*3\/(3\/5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a decade in months?\nAnswer: 3060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5473.8581 rounded to the nearest integer?\nAnswer: -5474","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6758, -6743, -6724, -6707, -6698, -6703, -6728, -6779?\n\"Answer: -o**3 + 8*o**2 - 2*o - 6763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 409502 is divided by 64?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -249, -416, -3 in decreasing order.\nAnswer: 3, -3, -249, -416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 12:29 PM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-s + 2*s + 0*s)*(3 + 0 - 1) - 8*s + 89*s + 57*s)*(-2*s - s + 6*s) to the form x + n*s + z*s**2 and give z.\nAnswer: 420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -32 (base 8) to base 2\nAnswer: -11010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - (71 + -96 - (-18 - -4))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-c + 4*c - c)*(-1 + 2 + 0) + c - 4*c + 6*c)*(4 + 2 - 5).\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -701696 (base 14) to base 9\nAnswer: -7073757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 938*b**2 + 5673*b + 344. Calculate x(-6).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**4 + 194*b**3 + 45*b - 1 wrt b.\nAnswer: -12*b**2 + 1164*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -27 (b) 2\/49 (c) -4\/7 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -11*c**3 - 102222. Let z(u) be the first derivative of -u**2\/2 - 1. What is l(z(s))?\nAnswer: -33*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/((-420)\/40)*6*2\/(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12999276 - -12999222.00111. Let t = o + 54. Round t to four dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 2:08 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 8 = -5*m. Let u = 71225\/8 - 8915. Find the common denominator of u and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.315 and -307.\nAnswer: -308.315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -s**4\/4 + s**3\/3 - 1. Let c(j) = j**4 + 4*j**3 - 3*j**2. Suppose -3*z - 1 = -2*z. Let a(r) = z*c(r) - 3*m(r). Factor a(n).\nAnswer: -n**3*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-640)\/(-60) - (9 - 1)\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 556 is divided by 66?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 3*s**2 - 3*s + 1. Suppose 5*t = 9*t + 16. Let q be m(t). Let d be 4 - -10*(-12)\/q. What is d rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(132)*-2 + 2*(sqrt(132) - (sqrt(132) + 1*sqrt(132))) + sqrt(132))\/(sqrt(12)*3*2 + (sqrt(12) + -1*sqrt(588) - sqrt(12) - sqrt(12))).\nAnswer: -5*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -32\/5 smaller than -113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 219, 206, -91 in decreasing order.\nAnswer: 219, 206, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1531.61 weeks to seconds.\nAnswer: 926317728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1326982?\nAnswer: 2, 29, 137, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7984749?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 95*g**3 + 142*g**2?\nAnswer: 570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-77)\/1155)\/((-2)\/12)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8 + -4 + -3)*3. Suppose 4*r + l*k = k + 24, -3*r - k = -16. Solve -r*p = 6 - 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 17315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p + 26. Let h be n(0). Let x = h - 23. Factor -4\/9*s + 0 - 10\/9*s**2 - 2\/3*s**x.\nAnswer: -2*s*(s + 1)*(3*s + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -455926 divided by 455926\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n + 385 = 63*n for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of l**6\/15 + l**5\/10 - l**4\/2 - l**3\/3 + 2*l**2 - 13*l + 7. Let g(q) be the first derivative of r(q). Solve g(s) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1364*n**4 - 2517*n**3 + 2739338*n.\nAnswer: 16368*n**2 - 15102*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(7 + 3)\/2. Let l(d) = -d**3 - 4*d**2 + 4*d + 9. Let y be l(s). Suppose -2*g - 7 = -3*g. What is the highest common divisor of g and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1550242197.\nAnswer: 3, 7, 293, 83983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -14 + 0*o - 17 + 9*o + 10*o - 9*o. Let w(u) = 3*u - 10. Determine -2*g(b) + 7*w(b).\nAnswer: b - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2204103?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*o**3 - 9*o**3 + 9*o**3 - 5*o**3 + 2*o**3 + 2*o**3 + (2*o - 2*o + o**2)*(-2*o + 0*o + o) as k + c*o + p*o**2 + x*o**3 and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 32\/(-20) - (-2)\/(-5). Let u be (2*39 - x)*(-12)\/(-30). Which is greater: 1\/4 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.06032 - 24.06032. Which is the biggest value? (a) -0.3 (b) j (c) 0 (d) 24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 2 = 2*p - 0*p, -3 = -2*r + 3*p. Put -6, -3, r in ascending order.\nAnswer: -6, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -49 + -71.\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2894 divided by -6787\nAnswer: 2894\/6787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -5*t - 15, 16*x - 3*t = 21*x + 9 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/31942361 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 + 17 = -4*o, 25 = w - 5*o for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 2 - 2 - 59672*i + 59672*i + i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/3*(-16)\/8*(-14)\/((-224)\/40)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 398499270 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: Let j = -53\/112 + 3\/16. Let v = 3543\/7 - 506. Let n be -1 + (-2 - -2) + 1. Which is the nearest to n? (a) j (b) 4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of 7*i**3\/3 - i + 7. Differentiate t(j) wrt j.\nAnswer: 14*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-154)\/33*((-399)\/(-4655))\/((-3)\/810).\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 7. Differentiate o**3 - 3 + 4 + 4*o**3 - 6*o**b with respect to o.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 10936?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**3 - 2*s**2 + 2*s**2 + (s**2 + 5*s**2 - 4*s**2)*(s + 0*s + 0*s) - s**3 - 4*s**3 + 4*s**3.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9542154526?\nAnswer: 2, 4771077263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-5)\/((-25)\/(-4)))\/(4\/(-10)). Put 3, 0, -3, w in descending order.\nAnswer: 3, w, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -841*t**2\/4 + 5626*t - 37636.\nAnswer: -(29*t - 388)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84417 is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 233 and 29591?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39\/(-104)*(-168)\/(-315).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1106 rounded to 2 dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = 5*y + 7, -4*y + 2*s - 4*s - 2 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + 0*3\/(-6). Suppose 5*t - 2*t = u. Let d = t + 20. Calculate the smallest common multiple of 6 and d.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.17662 + 4.25338. Sort -3, -2, y in descending order.\nAnswer: y, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1748 - 29696\/17. Let u = -163\/153 + c. Factor u*n**4 + n**2 - 7\/9*n - 5\/9*n**3 + 2\/9.\nAnswer: (n - 2)*(n - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(500)*3)**2 + sqrt(500) - 4*3*sqrt(500).\nAnswer: -110*sqrt(5) + 40500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j**2 - 1263*j**3 - 3*j**2 + 2548*j**3 + 10*j**2 - 1275*j**3 - 2*j**2.\nAnswer: 10*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -522, -563, -602, -639?\nAnswer: -674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 14*h**3 - 4*h**2 - 54*h + 35. Does 9 divide o(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 327394, 1.\nAnswer: -4, 1, 327394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -287.2366224 + -0.1037776. Let r = f + 334.349. Let i = r - 47. Round i to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2653367.\nAnswer: 1087, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2907.00352 + 4\nAnswer: -2903.00352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (3 - (-19 + 8 + 10 - 12))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 77.7736 to 2 dps.\nAnswer: 77.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -35622, -40831, -46040, -51249?\n\"Answer: -5209*g - 30413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 52083 times 0.08?\nAnswer: 4166.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 190285*g**2 + 146647*g**2 + 20 + 80673*g**2 - 5780*g.\nAnswer: 5*(289*g - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2871335 and 557.\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 6, 2*d + 2*a = -2*d + 76. Suppose 21*f = d*f + 204. Is f a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4802 and 4116?\nAnswer: 28812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/28)\/m**4*(m**(-24)*m)\/(m**(5\/17)\/m))**(-20) assuming m is positive.\nAnswer: m**(62495\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*x + 84 = 39*x. Does 10 divide (x - -3)\/(3 + (-23)\/8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 490.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (20\/30)\/((-2)\/(-9)). Suppose u*x = -x + 432. Let i = 155 - x. What is the remainder when i is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -597.8 - -0.1.\nAnswer: -597.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + (-1)\/((-2)\/(-8)). Let k = -739\/2 - -7403\/20. Find the common denominator of k and l\/24*73\/2.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(22\/(-102) + (-20)\/170). Suppose 0 = 2*z + x - 4, 2*z - x - 8 = -u*x. Factor 3\/4*b**2 + 1\/2*b + z + 1\/4*b**3.\nAnswer: b*(b + 1)*(b + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 142\/6 + (-6)\/2 and -17\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - 3*n + 2*n)*(-n**3 + 4*n - 4*n) + 59312*n**4 + 5 + 80*n**3 - 59315*n**4 - 4.\nAnswer: -n**4 + 80*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 + -15. Let k be -1 - 2 - (1609062 + r). Let c = k + 3329066. Round c to the nearest one hundred thousand.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185955 is divided by 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.08 * -182.\nAnswer: 14.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, 12, -26, -192, 2 in ascending order.\nAnswer: -192, -26, 0, 2, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -139431, -278869, -418317, -557775?\n\"Answer: -5*s**2 - 139423*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 23*n**3 + 5*n**2 - 11*n + 7. Let m be w(3). Let b(x) = 3*x + 4 + 639*x**2 - m*x**2 + 16*x. What is the tens digit of b(16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-3\/10)\/b*b)\/((b**(-1)*b)\/b))\/(b**(-1))**(-7\/2)*((b*b**(2\/11)*b)\/(b\/b**(1\/13)))**(-10\/7) assuming b is positive.\nAnswer: b**(-23014\/5005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-1\/2))\/(c**0\/c) assuming c is positive.\nAnswer: c**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(q\/(q\/(q\/(q**(-8)*q))))\/q)\/q**(1\/3))\/(q**(1\/3)*q)**50 assuming q is positive.\nAnswer: q**(-59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/10 and -29\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13619553317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i - 1. What is p(-4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 905.2 and 0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163 + 13 = -15*x. Which is the fourth biggest value? (a) 2\/7 (b) 0 (c) -0.2 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10*w*z + 3*w - 37*z**2 - 550 wrt z.\nAnswer: -10*w - 74*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-81 + 16 - 81 + 1)*(2 + s - 2).\nAnswer: -145*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2659706 and 464.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 350 divided by -70?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 - -0.3. Suppose 0*d + 6*d = 132. Let p = d + -21. What is the closest to p in 2, k, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -12 + -4 + 6 + -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/3 - 6\/36)*0. Suppose w = -6*t + t. Suppose -4*q + 36 + 40 = t. Solve y + 4 = -p, -2*p + 3*p = -4*y - q for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2)*w*w*w\/w**6*w)**(-5\/7) assuming w is positive.\nAnswer: w**(20\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3359 or 1698?\nAnswer: 1698","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v**3 + 10*v**2 - 12*v + 24. Let o be c(4). Solve 3*q**3 - o*q + 221*q + 105 + 1203*q**2 - 1092*q**2 = 0 for q.\nAnswer: -35, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-157)\/(-3) + (-8)\/(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 3 = 0, 3*y - 25 = 6*y - 5*n. Let m = -1 - y. Is m a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ymym when four letters picked without replacement from ymmyyyyyymymymmmmmmm?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1241*w**4 + 2916*w**2 + 4227*w**2 - 2143*w**2 + 998*w**4 + 331*w**4 wrt w.\nAnswer: 61680*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26 (base 16) to base 10.\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 4458?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sp when two letters picked without replacement from sssssspssspsppssss.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of q**5\/60 - 23*q**4\/24 + 25*q**3\/6 + 33*q**2. Let c be m(22). Solve 2*o - c = -o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1040 at least -1037?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-344)\/(-22) + (-24)\/594*-9.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2494 + -3883. Let v = -13903\/10 - f. Calculate the common denominator of -46\/111 and v.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 3 - (-145 - -136).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -5*q**2 + 251320*q + 39327600 = 0.\nAnswer: -156, 50420","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n*n*n\/(((n*n**(7\/6)*n)\/n)\/n)*n**(-3)*((n\/(n*n*n\/(n*n*(n**(-9)\/n)\/n*n)))\/n)\/(n\/(n\/((n*n**6*n)\/n))) assuming n is positive.\nAnswer: n**(-109\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 25450199 divided by 7\nAnswer: 25450199\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o**2 + 5*o + 3. Let z = -1 - -4. Let m be ((-12)\/10)\/(z\/10). Let k be c(m). Solve k = j - 6*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 14, -6, 162 in ascending order.\nAnswer: -6, -5, 14, 162","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 6. What is the fourth smallest value in -4, -2, p, 0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 5*z**2 + 118*z + 738. Give r(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 0, -4, 67, 48, -80 in increasing order.\nAnswer: -80, -4, -3, 0, 1, 48, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -115546451 + -1259?\nAnswer: -115547710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30*10\/(-4)*188\/(-1410)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of v**7\/840 + v**6\/120 + v**5\/40 - 11*v**3 + 26. Let m(o) be the third derivative of b(o). Give m(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 37, 36, 27, 4, -39?\n\"Answer: -x**3 + 2*x**2 + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 52*q - 57*q + 26, -3*q = -3*i + 33. Solve 2*f + 6 = 4*d, 4*f = -3*d + 30 - i for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -b, 3*v - 2*b + 8 = 5*v. Let k be 7236\/(-1440) - (v*-6 + 1). What is the third smallest value in 5, -0.4, k?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -8.06. Let c = h + -0.24. Let f = -0.1 + c. What is f rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -5. Let j(x) = -x - 2*x - z*x. Let a(p) = -p**2. Determine j(a(f)).\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 18*i**3 + 3*i - 2. Let x be (-9*(-3)\/162)\/(9\/54). Give l(x).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184249873 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o**2 - 4*o**2 + 3*o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -f**4\/4 - 15905*f**3\/4 - 38035647*f**2\/2 - 14419963363*f + 63221824236922 = 0.\nAnswer: -5746, 1333","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -308800 rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, 324, -2\/3, -1\/3, 2\/13 in descending order.\nAnswer: 324, 3\/2, 2\/13, -1\/3, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -2*b**3 - b**2 + 2*b - 22. Let p(j) = 31*j**2 + 9*j - 11. Let l(s) = -11*i(s) - 2*p(s). Solve l(y) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6302842579 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 = -5*x - 3*j, 5*x + j - 2*j = 123. What is the remainder when 223 is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 570295333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = 7*g + 6*g - 38. Let t(z) = -z**3 + 5*z**2 + 8*z + 5. Let a be t(6). What is the second biggest value in g, -2\/11, a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*p = 7, -16 = 2*j - 2*p + 2. Suppose -5 + 1 = -t. Put -3, t, j in decreasing order.\nAnswer: t, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2526 times 73\nAnswer: -184398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-2*sqrt(448))**2)*-6 - ((1*sqrt(126))\/sqrt(2))\/((sqrt(9) + sqrt(18)\/sqrt(2))*3).\nAnswer: -10734 - sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -85*i*y**2 - 14*i*y + i + 48786*y**2 - 2*y with respect to i.\nAnswer: -85*y**2 - 14*y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1078 = 7*o + 4*o. Let a = o + -61. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l + 2. Let m be w(2). Suppose -m*f - 15 = 21. Let a = 24 + f. Does 10 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17472 divided by -91\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 99710, 199434, 299166, 398912, 498678, 598470?\n\"Answer: a**3 - 2*a**2 + 99723*a - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/3 (b) -1.373 (c) 5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 775507 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6\/7*s**2 - 1\/7*s**3 - 8\/7 + 4\/7*s - 1\/7*s**4.\nAnswer: -(s - 2)*(s - 1)*(s + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2 + 1 = 0. Let h = -4.5 - 0.5. Suppose 5*w = -2 - 3. Sort h, m, w in descending order.\nAnswer: m, w, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -161 - -160.999837. What is f rounded to 5 dps?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, v: 1, h: 3, l: 4, r: 5, q: 1}. What is prob of sequence lrh?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3025, -3071, -3117, -3163, -3209?\nAnswer: -3255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 8*f**2 + 19*f + 30. Suppose -9*d + 36 = -54. Is 5 a factor of w(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005594523 rounded to 5 dps?\nAnswer: 0.00559","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2*b - 5*d - 48, 0 = 2*b - 5*d + 57. Let a be -353*1*13\/b. Let n = 171 - a. Find the common denominator of n and 43\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*m - 108*m = 66 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3779575*k**2. Let d(x) = 8*x. What is c(d(t))?\nAnswer: 241892800*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2306 + -1485. What are the prime factors of v?\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/43, -4, 0.246, -5 in decreasing order.\nAnswer: 0.246, 2\/43, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -66 (b) -12\/5 (c) 5 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 1 - (-5 - (9 - 10)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4747543 to the power of 1\/2, to the nearest integer?\nAnswer: 2179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**4 - 1 + 321*w - 152*w - 149*w - 2*w**2 to the form u*w**3 + k*w**4 + j + v*w + c*w**2 and give v.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 161*l**2 - 1080*l - 243. Give p(-154).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/(-9))\/((-1)\/(-15)). Suppose 4*j = a*j - 1. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*r + 160 = 58*r - 120*r for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/3)\/(5\/15). Solve -a*l + 3 = -7*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 5*c - 4180. Find the common denominator of -59\/22 and 2\/5 - c\/140.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-30)*(-39)\/(-78)*-5.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -27345 + 11?\nAnswer: -27334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-4 + 5 + -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4*x - 7 = 1, z - 1 = x. Let t = 59 - z. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -147 + -47 + 31 + 31 + 17?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -215*f + 2. Suppose -2*m = 3 - 1. Let v be b(m). Let c = v - -9183. What is c rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -238802772*a*s**3 + 2*a*s**2 + 80*a*s - 330*a + s**2 - 3*s wrt s?\nAnswer: -1432816632*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (-4 - (-12 - (-8 + 2) - (10 - 10))).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/43? (a) 21 (b) 333 (c) -0.5 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(1\/9)*w*w**2\/w*w**(-1\/2)*w**7 assuming w is positive.\nAnswer: w**(155\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 0 - 1 - v)*(v + 0*v + v)*(3*v + 3*v - v) to the form w + f*v**3 + t*v**2 + p*v and give t.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -35328 divided by -2208\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/20 + 0 - (0 - 0).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -477074*k**3\/21 - 440402*k**2\/21 - 8*k\/7 = 0.\nAnswer: -12\/13, -1\/18349, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 182*w**5 - 9*w**4 - 2*w**3 + 1509*w**2 - 17 wrt w.\nAnswer: 10920*w**2 - 216*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 1) + (0 - 4 - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -41, -25, 2, 41 in decreasing order.\nAnswer: 41, 3, 2, -4, -25, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1880?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69476 = 1174*q + 405*q. Let c = 36 + -4. What is the remainder when q is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*((-1346803)\/18705 - -72)?\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15.01 + 18.3. Let u = y - 3.3416. What is u rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 11. Let c(n) = 0 + t - 1 + n. What is the lowest common multiple of 4 and c(-8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a2 + -1?\nAnswer: a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3404.907 - 3407. What is q rounded to two dps?\nAnswer: -2.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*a + 61928 - 61994 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 9) in base 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27779 - 16408. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -130, -259, -390, -523, -658, -795?\n\"Answer: -s**2 - 126*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 7*u**2 - 14*u - 4. Let z be r(2). Let v be 9 - (z + 3 + 7). Solve v*j + 2*l = 1 + 2, 3*j - 5*l = -18 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3598)\/(-257))\/(1\/(-20)*20\/(-8)). Calculate the highest common factor of 427 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-3*(sqrt(192) + sqrt(192) + 1 - sqrt(192)) - (sqrt(192) - ((sqrt(192) + 2)*4 - sqrt(192))))**2 + 2.\nAnswer: -80*sqrt(3) + 219","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2*r**5 + 24 + 0*r**5 + 16*r + 10*r**4 - 8056*r**3 - 34*r**2 + 8038*r**3 + 4*r**5 = 0?\nAnswer: -6, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585829459 to the power of 1\/2, to the nearest integer?\nAnswer: 24204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1795863 divided by -1173.\nAnswer: 1531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2 + 122 = 0. Let h = -41 - l. List the prime factors of h.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 9, -4*n + 12*s + 27 = 13*s. Suppose -95 = n*t - 113. Solve -2*l - t*l - 10 = 0, h - 3*l = 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + 9*a**2 + 2*a - 16. Calculate the least common multiple of 18 and c(9).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/1387818 and -31\/1233616.\nAnswer: 11102544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4261 + -42.239912.\nAnswer: -42.666012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*y + 4*y. Find the first derivative of -3*v**y - 1 - 8 - 2*v**2 + 3 wrt v.\nAnswer: -10*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -20*x**3 + 2*x**2 - 3*x - 4. Determine f(-1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9935418 to the power of 1\/4, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/2 and 105\/38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -9*r**3 + 3*r**2 + 3*r + 2. Is b(-2) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 0.3, -0.04 in decreasing order.\nAnswer: 5, 4, 0.3, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 7.649415 and -42012.14.\nAnswer: -42004.490585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 761 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*s**4 + 24*s**4 + 16*s**4)*(0 - 5 + 6) + 2*s**4 + s**4 + 0*s**4 + (2 + 4 - 4)*(s**4 + 2*s**4 - s**4).\nAnswer: 36*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 98*m**2 - 33*m**2 - 32*m**2 + 1 - 38*m**2 + 8*m**3 - 117*m**3 - m to the form h*m**3 + j + w*m + k*m**2 and give h.\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -576 - -578. Solve -2 = b - j*g + 3, -5*g + 14 = -3*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*w**6*y + 843*w**6 - 143*w**2*y wrt w.\nAnswer: -720*w**3*y + 101160*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 133 + -131. Calculate the greatest common divisor of s and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c - 2. Let q be m(-5). Suppose -97 = -2*n + q*h - 0*h, -3*h - 141 = -3*n. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*r**4 - 2*r**4 + 4*r**4)*(-1246 - 849 - 308 - 2514 + 217) as t + x*r**2 + i*r + l*r**3 + m*r**4 and give m.\nAnswer: -9400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 17 + -9 + -1 + 0. Solve 0 = 3*p - 3*d, -2*p = 5*d - h + 14 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 + -460449?\nAnswer: -460442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1708480 and 4560?\nAnswer: 5125440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.0329 times -5.9\nAnswer: -0.19411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 51 = -z, -2*z + 36 = -4*j - 90. Let h = 61 - z. Suppose -5*t - 146 + 527 = s, 299 = h*t - 5*s. What are the prime factors of t?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 5a61557?\nAnswer: -5a6155a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -6*y - 94, 20*y + 82 = 17*y + 5*n for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 2*k**3 + 73*k**2 - 11*k**4 + 2 + 3 - 79*k**2 to j*k**2 + a + b*k + c*k**4 + w*k**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -10592.501 and -67.\nAnswer: -10659.501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -173 - -243. Which is bigger: 2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1905 + -1901. Let s(t) be the first derivative of -4\/5*t**5 + 0*t**a + 0*t**3 + 0*t - 9\/2*t**2 - 12. Find the second derivative of s(n) wrt n.\nAnswer: -48*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 1\/5 (c) 4\/13 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.15 and 35.\nAnswer: -5.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, 24, 160, 372?\nAnswer: 660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of -5*f**9\/168 + 17*f**5\/60 + 2*f**2. Find the third derivative of c(g) wrt g.\nAnswer: -1800*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 4774\/3, -1, 0.3?\nAnswer: 4774\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4*(-54)\/(-168) - 1. What is the closest to 1 in -18, i, 0, -1\/4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 669 + -940. Let x = s - -268. What is the third smallest value in -2\/11, x, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 3*k + 35764 = 0, a - 5189 - 1961 = 2*k. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -0.2, -0.3, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (16 + -41 + 15 - -2 - -17)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 309171711 and 93.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12363600 rounded to the nearest 1000000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = 4*w + 63 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/6*((-25)\/(-50))\/(1\/6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-102)\/(-4))\/(6\/16). Suppose -2*y + 48 = -z. Suppose p - 3*p = -y. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -1349*a + 2692*a - 1350*a. Let g(h) be the first derivative of 4*h**3\/3 - 1. Determine m(g(i)).\nAnswer: -28*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 930728422.\nAnswer: 3722913688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 178918, 178919, 178920, 178921, 178922?\n\"Answer: z + 178917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -133 + -11267?\nAnswer: -11400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3341 - -3110?\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 1. Let p = v + -2. Let t(m) = 3*m - m + p*m. Let c(j) = 2*j**2. Calculate t(c(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -4*s**3 - 919*s**2 + 2091*s + 788. Determine w(-232).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1331 - -2?\nAnswer: 1333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -3*u - 86, 4*u + 119 = 5*y + 4. Let d = u - -42. Solve 4*w = 4*v - 2 - 6, 0 = 3*w + d for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 3*o**2. Let l = -30 + 50. Let r(m) = -26*m - l*m + 41*m. What is j(r(z))?\nAnswer: 75*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 75\/(-19) - (-21 + 17). Let a(g) be the first derivative of -p*g**4 - 4\/19*g + 5 - 4\/95*g**5 + 1\/19*g**2 + 1\/57*g**6 + 8\/57*g**3. What is d in a(d) = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -8725.\nAnswer: 3490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2 + 6*y + 3 + 9*y. What is the tens digit of u(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**2 + 16 - 4*d**2 + 13*d + 3*d**2 + d. Let l be x(-13). Find the first derivative of 9 + 0 + 94*k**3 - 84*k**l wrt k.\nAnswer: 30*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2 + (-1*sqrt(6))\/sqrt(3))*-6.\nAnswer: -24*sqrt(2) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 4*p**2 - 3*p + 14. Let o be n(4). Suppose -d + o = -43. What is the remainder when d is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-3 - -1) + 14 + (4 - 14).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of -82*z**2 - 151. Let v(h) = h**2. Determine w(v(p)).\nAnswer: -164*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 638 is divided by 107.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 797202151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.8 - 6.8. Let p = -5 - d. Let k = p - -1. Do k and 2 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -5*a - 8, -2*y - 3*a - 12 = -5*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 9*z - 13 - 7*z)*(4 - 4 + 16).\nAnswer: 32*z - 240","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 159833133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001968 rounded to four dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32620 + -32620.000013593. Round p to 7 dps.\nAnswer: -0.0000136","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2277 and 351417.\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 3. Suppose 20 = 2*u + 22. Let y be (-3 + c)*u*5. Solve y*i = 3*i - 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 12 = -0*o + 2*o, 0 = o - 5*s - 1. Let b(d) = 2 + 13*d - d**2 - o*d - 5*d + 15*d**3. What are the prime factors of b(2)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 1 + 3 + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -7277635 smaller than -7277573?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4523428?\nAnswer: 2, 7, 13, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (36\/(-14))\/((-228)\/1064)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.2 * -2.92275.\nAnswer: -9.3528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 109, 385, 847, 1501, 2353, 3409, 4675?\n\"Answer: l**3 + 87*l**2 + 8*l + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18\/(-102)*(-2)\/3. Is 1 at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -183456, -363269, -543068, -722847, -902600, -1082321, -1262004, -1441643?\nAnswer: -1621232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49 - 53 - (0 - 5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -11*g**6\/6 - 2*g**3\/3 + 3. Find the third derivative of p(x) wrt x.\nAnswer: -660*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -7*z**2 + 56*z - 25. Let m be f(11). Let h = 252 + m. Which is the third biggest value? (a) -0.01 (b) h (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 36\/(-162) - ((-1010)\/72)\/5. Let l be 8\/60 + (-127)\/(-60). Let t = l - h. Put 0.5, t, -0.4 in ascending order.\nAnswer: -0.4, t, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q. Let g be (4\/5)\/(988\/(-130)) - 92\/(-152). Let c(a) be the first derivative of 18 + g*a**2 + 0*a. Give c(f(v)).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -98196 by 4.\nAnswer: -24549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -57 (base 10) to base 4\nAnswer: -321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.026 and -142.\nAnswer: -3.692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3, 0.5, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 10*k - 30. Which is the second biggest value? (a) 1\/4 (b) k (c) -2\/5 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {r: 3, y: 7}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 86040 divided by 4780\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30768.\nAnswer: 2, 3, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 349219414?\nAnswer: 2, 174609707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 91\/120 + 1\/24. Which is the closest to -5? (a) l (b) -1\/4 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5735 is divided by 1432.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14527757 is divided by 49414?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -3*d + 11, -3*i + 903*d + 7 = 899*d for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-15))\/((-10)\/4 - -3)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m + 1. Suppose -62*l + 102 = -84. Give r(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 6*r**3 + 28*r**2 + r - 58. Let t(w) = 2*w**3 + 9*w**2 - 19. Let a(s) = 8*t(s) - 3*y(s). What is the tens digit of a(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13977, -8866, -3755?\nAnswer: 1356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 9 = -3*g, 6*v = v - 2*g - 6. Suppose 4*q + i = -3, 3*q + 2*i + 1 = -v. What is the units digit of (-7 - q)\/((-6)\/3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 575805 = -3*q, -k + 959*q = 962*q - 191947. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - i + 1. Let a(h) = h - 1. Suppose 2*f + 0*u - 6 = 2*u, 0 = 4*f - 2*u - 8. Let g(n) = f*a(n) + p(n). Let s(b) = 2*b. Give g(s(z)).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millennium in years?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 12 = -4*u - 5, -2*u = -2*h + 14. Let j(l) = 14*l - 38. Let v(x) = -27*x + 74. Let o(a) = -5*j(a) - 3*v(a). List the prime factors of o(h).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9256 + 13018. What is the thousands digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of 13\/18*p**3 + 0 - 76*p - 2*p**2 - 1\/36*p**4. Factor k(c).\nAnswer: -(c - 12)*(c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3017180911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -7\/2, 1\/3, -0.046, 0.\nAnswer: -7\/2, -1, -0.046, 0, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 AM and 5:23 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -111002 - 142?\nAnswer: -111144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wbgggwww. Give prob of sequence gw.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b**2 - 339*b - 4484. Calculate s(-156).\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21902*m + m**3 - 2 - 21897*m - 2*m**2 + 7*m**3 to the form k*m**3 + b + p*m + n*m**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Solve -205*y - 435*y + 1051*y + 3288 = 0 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of 761*u + u**2 + 8 - 761*u. Let r(g) = 6*g**2. Give r(c(b)).\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k\/k**(1\/9))\/k)*k**(-2\/11))\/(k*k**11*k)**(2\/37))**(-9\/8) assuming k is positive.\nAnswer: k**(-415\/1628)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 125959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 842?\nAnswer: 2, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 16 + 8. Suppose 0 = -5*x + 2*x + 93. Calculate the remainder when x is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 2*r + r**2)*(r**3 - 2*r + 2*r) + 7*r**5 + 5*r**5 - 4*r**5.\nAnswer: 9*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 6314 = 6306. Solve -l + 11 = 2*z, -z = 2*z - t*l + 11 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*u - 47 = 52. Suppose -3*o + u*a + 72 = 0, 5*o = 2*a + 141 - 27. Solve 13 = 7*l - o for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 1)*(2 - 1 - 3)*(-1 + 1 + u).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -195303*k**3 - 100*k - 242?\nAnswer: -1171818*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 6*s**2 + 10*s. Let m(x) = 1 + 24*x**2 - 23*x**2 - 1 + 2*x. Give 2*i(k) - 11*m(k).\nAnswer: k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -0 + 2. Suppose 2*u - 2*t + 124 = 28, -3*u = -5*t + 152. Let a = u + 46. Calculate the highest common divisor of a and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187 = 12*m - 5*r, -8917955*r - 51 = 3*m - 8917952*r for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (44 - (-64051)\/(-1456))*14?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*a**4 - 14*a**4 - 36*a**4 - 1 - 2*a**4 + 1 + (3*a - a - 3*a)*(-a**3 - 4*a + 4*a) - 13*a**4 - 23*a**4 - 2*a**4.\nAnswer: -83*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (4\/20)\/1*(-170)\/76 and 23\/6.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7\/4 of a micrometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 9 = 4*z. Suppose -2*j - 379996 = 4*b, -58929 - 131068 = j + z*b. Round j to the nearest 10000.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 119 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 17\/39?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2569 and 338491073.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 19\/(-95)*(2 - 2)\/(-2). Solve -18*c + 12 + 42 = u for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 802376158 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33 + 19785\/600)*2\/1?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaqqqyqqyqaq. What is prob of picking 3 a and 1 q?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2453, 2458, 2463, 2468, 2473?\nAnswer: 2478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 4*r - 6, -2 = 2*r - 4. Let s = -7 - p. Calculate the lowest common multiple of 6 and 26\/s - (-4)\/(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6193?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1\/8, 0.113, -2\/15.\nAnswer: -3, -2\/15, -1\/8, 0.113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1101130202 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*p + 29*p**2 + 97*p.\nAnswer: 29*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -174 - -2136. Suppose -6*n = -4*f + b, -n - n = 3*f - 1478. What is the hundreds digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20836*a - 41671*a - 4*a**3 + 20835*a.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11507 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -374609, -749299, -1123989?\n\"Answer: -374690*s + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v - 8. Let t(a) = -10*a**2. Calculate c(t(j)).\nAnswer: -10*j**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = w + 5, 5*k - 1 = w + 2*w. Suppose -w*h + 20 + 34 = 0. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5.5 in 4, 0.4, 23, 2\/15, -2\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tetjtrrtjttrjt. What is prob of picking 3 t and 1 e?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 7:11 PM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 544, 2240, 5068, 9028?\nAnswer: 14120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 16, 2*y - 4*z + 4 = 24. Suppose -b = -4*i - 7, -i - 2*i = y*b - 3. Put 1\/6, 2, i, 5 in decreasing order.\nAnswer: 5, 2, 1\/6, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 90 - 179. Let o = -84 - m. What is the remainder when o is divided by 6\/(-10) - (-168)\/30?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 2*l - 42, 0*r - 3*l = -r + 21. Suppose 3*s - 56 = q - 14, 0 = -5*s - 3*q + 56. Suppose s = 5*i - r. Solve i*f - 7 = 8 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 2 - 17*o**2 + 2*o**3 + 19*o**2. Let r be q(-2). Let v(c) = 4*c**2 - r*c**2 + 0*c**2. Let g(u) = u**2. What is g(v(b))?\nAnswer: 4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of 2 + 7\/3*u**3 + 10*u + 1\/2*u**2 + 1\/4*u**4. Let n be g(-7). Solve 0 = 2*l - n*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 354 - 357. Let n be (-6)\/(-54)*21 - 2\/w. Let u(p) = 2*p**3. Let t(i) = i**3. Give n*t(c) - u(c).\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -259*q + 260*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(5\/8)*s*s)\/s**(-4\/19) assuming s is positive.\nAnswer: s**(431\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -15, 3*t - 10 - 3 = -k. Solve -q = -5*i + k, -2*q + 5*q - 29 = -4*i for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -108 + 131. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -532 - -945. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 + 4*a - 8. What is the remainder when 48 is divided by d(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d = 8*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 148*a + 1001. Let d be u(7). Let z = 50 + -40. Solve 0 = -l + d - z for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-4 + -2*sqrt(7))*4 - ((sqrt(70) - (2*sqrt(70)*1 + sqrt(70)) - sqrt(70))\/sqrt(10) + 3))**2.\nAnswer: 286*sqrt(7) + 1016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11039 less than -146147?\nAnswer: -135108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -11*t**2 + 11 - 8*t**3 + t**3 + 3*t - 3*t. Let m(s) = -3*s**3 - 5*s**2 + 5. Let h be 5*(1 - (-3)\/(-15)). Calculate h*p(c) - 9*m(c).\nAnswer: -c**3 + c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f + 23. Let l(q) = -9*q + 70. Let o(i) = 3*l(i) - 8*w(i). Let n be o(7). Suppose 5*r - 2*c - 9102 = -915, -n*r - 5*c + 8215 = 0. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1239259 to the power of 1\/2, to the nearest integer?\nAnswer: 1113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 194390 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4498 = 53*n - 22744. Is 9 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 + 4 + 21 - 65 + 27 - 3*c**3.\nAnswer: -3*c**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3516, -3526, -3540, -3558, -3580, -3606?\n\"Answer: -2*o**2 - 4*o - 3510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 555*j - 552*j = -6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p. Let c(n) = -n**2 + 8*n. Let v(r) = -3*c(r) + 8*s(r). Let k(x) = 4*x - 2*x - 4*x. Calculate v(k(h)).\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1*-2.4\nAnswer: 2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -11*n - 14*n + 42 - 32. Let x be c(-8). What is the highest common divisor of x and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 13 - 68?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - y - 2 = 0, 5*q - 3 = 13*y - 17*y for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-907 + 1889 + 1126 + 651 + 2378)*(-4*v**2 + 4*v**2 - 2*v**2) to f + n*v + m*v**2 and give m.\nAnswer: -10274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*x + 369*x + 3330 = 103*x for x.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-4))\/((-14)\/16 - -1). Suppose -5*f - d*h + 558 = 64, 0 = -4*h - 16. Let a be (f\/4)\/((-1)\/(-200)). What is a rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/2*(1 - 5). Let y(c) = c**3 - c**2 - 16*c + 5. Let j be y(0). Suppose -6 = j*i - k*i. What is the remainder when 20 is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 11*a - 2. Let d be x(2). Suppose -d = -2*k + 4. Suppose -2*l + 4*i = -12 - k, 0 = 4*l + 2*i - 68. Is 4 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bewebebe. Give prob of picking 2 b.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 - 3*z**2 + z + 4. Determine l(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3602461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, u: 8, d: 3}. What is prob of picking 3 d?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 104 and 1079?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20398 by 2914.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -54.03633 to the nearest integer.\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(42\/63*(-6)\/4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20582 + 14522. What is c rounded to the nearest 100?\nAnswer: -6100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + (-4)\/(16\/(-28)). Solve 2*a + 1 = f*t + 26, 0 = -4*a for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -48 + 123. What is the greatest common divisor of 30 and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by -295101?\nAnswer: 5\/98367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 2*v + 5*v)*((-1 - 1 + 4)*(-4*v + 5*v + 0*v) - 20 - 4*v + 20).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 23674?\nAnswer: 71022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/1374199 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -826 - -2002. Is 49 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.11 in 1\/6, -1\/3, 0.1, 47?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13070, -12813, -12554, -12293, -12030?\nAnswer: -11765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 69568.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23 - -13. Suppose 2*s + 0*s = 4*g - 72, 3*g = 2*s + 56. Let i = g + r. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2740194 and 32390?\nAnswer: 13700970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 12. Let w = -8 + q. What is the third derivative of -f**6 + 0*f**2 - 8*f**6 - w*f**2 + 6*f**2 wrt f?\nAnswer: -1080*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 132? (a) -0.5 (b) 1\/10 (c) 0.04 (d) 3 (e) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + 2. Let k be (-1615)\/(-119) + (-4)\/m. Calculate the greatest common factor of 143 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of -817*z**6\/120 - 603*z**4\/4 - 23*z**2 + 26. Find the second derivative of r(s) wrt s.\nAnswer: -4902*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {c: 1, b: 2, w: 7}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*m - 69 + 9. Let w = 37 + -36.8. Which is the nearest to -0.1? (a) w (b) m (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -319852?\nAnswer: -3\/319852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7360478.\nAnswer: 2, 89, 41351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.09 + 0.08. Let y = 336 + -336. Which is greater: y or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**2 + 8 - 6 + 0*b**2 - 2*b - 3*b**2. Determine z(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 5*v, 0*v = 4*p + v - 36. Suppose 0 = -2*c + p, -5*z + c + 3743 - 1388 = 0. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 86457 and 72726?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/((c\/(c**(1\/3)*c))\/c)*c)**29*(c**(-2\/9))**(3\/5))\/((c**(-1)\/c*c)**(-1\/26))**40 assuming c is positive.\nAnswer: c**(18524\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) -0.1 (c) 0 (d) 672 (e) 33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -6. Let x be -26 + (-1 - (k - 3)). Let c = x - -35. Solve 9 = 5*s - c for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 p when two letters picked without replacement from cppccckccppccpccp?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + 5*l**2 + l - 5. Let v be d(5). Suppose -4*h + 11 - 3 = v. Suppose 0 = -3*a - h - 1. Round a to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1335*j + 1421*j = 1548 for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5282662 to the nearest integer?\nAnswer: 2298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 349915 a multiple of 973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 57706?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - -10. Let c be (2\/(-6))\/((-2)\/x). What is the units digit of (-98)\/(-12) + c\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 5*f - 12, 248 = w + 4*f. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -252\/19 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 5)*(2*x + 0*x - 5*x) + 55*x - 9*x + 82*x.\nAnswer: 137*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20372?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -60738*h**3*l*u + h**3*l - 8*h**2*l*u + 5*h*l*u + 2*h + 4*l*u + 2*u + 6 wrt h.\nAnswer: -364428*h*l*u + 6*h*l - 16*l*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 45 - 29. Suppose -4 = 3*w - f. Calculate the remainder when w is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 38*q**2 + 131*q - 274. Calculate the remainder when 154 is divided by g(41).\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3\/4)\/(l**(-2\/37)*l))\/(((l*l**(-3)*l)\/l)\/((l**(-2)*l)\/l)) assuming l is positive.\nAnswer: l**(-251\/148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 9*w + 7 = b, -3*b = 3*w - 12. Suppose -2*o - 19 = -k + 3*o, -2*o + 23 = b*k. Find the second derivative of -k*a + 20*a**4 - 60*a**4 - 23*a wrt a.\nAnswer: -480*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 123117 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 2*t**2 - 51*t + 35. Determine n(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 - 31*s**2 - 50*s + 489. What is the hundreds digit of v(-35)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.21 + -0.09. Suppose -2*j + 8 = -j. Let u = 4.083 + -1.083. Which is the third smallest value? (a) j (b) s (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 528329 (b) -0.2 (c) -4 (d) -7 (e) 2 (f) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1637124346 - 1637124406.99999944. Let n = p + 61. What is n rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/4*2 + 34. Suppose -c = 3*r + 3. What is the units digit of (-1 - r) + 11 + -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.24 from 11.\nAnswer: 10.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - -1) + (-2)\/(-2). Suppose p*f = f + 36. Let z be -3*10\/105 + f\/14. Solve 5*l - 20 = 0, -2*n + 2*l - z = 1 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 8*m**2 + 9*m - 3. Let c be n(-7). Suppose 4*s + 73 = 2*f + 9, -5*s + 55 = 2*f. Let y = f + c. What is the highest common divisor of y and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of 0*s - 1\/60*s**5 + 0*s**3 - 1\/24*s**4 + 0 + 2*s**2. What is the second derivative of c(z) wrt z?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2162 and 46?\nAnswer: 2162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d**3 + 3*d - d**2 - 5*d - d - 4 + 3*d**2. Let y(h) = 4*h**3 + 3*h**2 - 5*h - 7. Give 7*n(q) - 4*y(q).\nAnswer: -2*q**3 + 2*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38*d + 8 + 38*d - 26 + 3*d**3 + 12 - 44*d**2 to the form g + k*d**2 + r*d**3 + t*d and give k.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-2 + -5))\/((-169)\/338)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.436614 + 0.437. Round v to five decimal places.\nAnswer: 0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*j + 11822 - 11822 + 27*j - 24*j.\nAnswer: 62*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p - 8*p + p)*(5 - 6 - 1).\nAnswer: 14*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 17*d + 274. Let n be m(-16). Put n, -76, -3 in ascending order.\nAnswer: -76, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6905 times -4.6?\nAnswer: -31763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 591426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = l - 4*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -114*b**4\/7 + 158*b**3\/7 + 1056*b**2\/7 + 552*b\/7 - 32\/7 = 0.\nAnswer: -2, -2\/3, 1\/19, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 5*o + 52. Let x be c(-10). Determine m, given that -3\/5*m**x + 3\/5*m + 6\/5 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 48*r - 87*r - 307*r**3 - 97*r**3 + 41*r in the form x + w*r**3 + a*r**2 + k*r and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 303547747 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 6 = -w, 2*w + 12 = -27*q + 30*q for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + b + 4. Give n(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*a - 119*a = -60. Let b = 1 - -75. What is the greatest common divisor of b and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1353 and 4551.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - 0 - 1\/(-2). Suppose 2 = -4*k + 3*w - 18, -3*k - 18 = -3*w. Let b = k + 1. Is b equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 122\/(-18) + 8 + (-669)\/(-27).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 242140 + -1?\nAnswer: 242138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 279 in 100, 3, 2\/11?\nAnswer: 100","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51321?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 + 4*k - 2. Let x be v(2). Suppose -5*q + 14 = -g + 4, 3*g = 0. Differentiate x*d**3 + 0*d**3 - q + 0 wrt d.\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*u**3 + 3 - 1 - 2.\nAnswer: -56*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - a - 10 = 0, 2*a + 8 = 5*w - 2. Let j(h) = -h + 3*h**2 + 11*h - 4*h**2 - 57 + 2*h - 28*h. Let p be j(-6). Solve 0 = p*m - m + w for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(156)\/(-3*sqrt(12)).\nAnswer: -5*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 66566221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 215 divide 10041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6128 and 10051452?\nAnswer: 1532","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence za when two letters picked without replacement from xxvxvvxmvzax?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*a = -30*a + 21*a - 572 for a.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 999103?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q - 1934*l + 1942*l + 92, q + 28 = -3*l for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*1)\/(5\/(-10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 5*l**2 - 68*l - 28 = 0.\nAnswer: -2\/5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 169 - 167. Suppose 3 = -3*g - 2*s, 10 = -k*g + 9*s - 13*s. Which is the nearest to g? (a) -0.4 (b) -0.053 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -159 by 42658.\nAnswer: -159\/42658","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - u - u + 15, 10 = 2*q - u. Suppose -5*c - 2*g - 6 = -0, 0 = -q*c + 3*g + 9. Solve j = -c + 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 + -21. Find the second derivative of 539*z**2 - 27*z - 539*z**2 + 23*z**b wrt z.\nAnswer: 276*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8533\/390 - 284\/13. Which is the nearest to x? (a) -2 (b) -0.4 (c) -3 (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1132218\/169924 - -3) + -4. Let m = -20\/1847 - d. Let f = m - -4\/23. What is the common denominator of 61\/16 and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3.01611, -0.85, 1\/4?\nAnswer: -0.85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -617.94559 - 0.0101644?\nAnswer: -617.9557544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of -m**5\/20 + 25*m**4\/8 - 23*m**3 - 141*m**2 + 202*m. Let a(i) be the first derivative of b(i). Factor a(s).\nAnswer: -3*(s - 23)*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -251*j**3 + j**2 - 6*j + 1. Let p(u) = -503*u**3 + 2*u**2 - 14*u + 3. Determine 7*c(t) - 3*p(t).\nAnswer: -248*t**3 + t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(170)*1*6)\/(sqrt(10)*-2*6).\nAnswer: -sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13980 + 30724 = 14953*f - 15969*f for f.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/4 (b) 2\/225 (c) 5 (d) 0.5 (e) 9 (f) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 375132.238 - 375233.2380196. Let p = -101 - c. Round p to 6 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5400748 divided by 1?\nAnswer: -5400748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 45*m + 3. List the prime factors of h(3).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - 14*i - 23. What is the remainder when 25 is divided by q(16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -7*s**3 - 8*s**2 - 8. Let k(m) = 2*m**3 + 3*m**2 + 3. Let u(x) = -36*x + 105. Let q be u(3). Determine q*h(y) - 8*k(y).\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1011 divided by 204650.\nAnswer: 1011\/204650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 49 - 39. Suppose -4*k - 5*l = -45, -6*l - 30 = -2*k - b*l. Solve 5*u + 0*u - 2*f + 35 = 0, f = k for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 0. Let h be -3*(1 + 21\/(-9)). Which is smaller: a or h?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2760 divided by -10\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 2*r - 2*m, -4*r - 4*m = 0. Suppose -180 = -r*t - 6*t. What is the remainder when t is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 387892819 to the nearest integer?\nAnswer: 19695","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - i = 13 + 38, 0 = -d + 3*i - 29. Let w = 0 - d. What is the remainder when w is divided by 2\/((-9)\/(-18)*1\/2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*v = 47*v + 32 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a tonne in kilograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1296.0763 - 1296. Let i = -34.3763 + y. Let w = i - -34.299861. Round w to 5 dps.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1264217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3868215 + 5*h + 3868215.\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 109\nAnswer: 4\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d + -392234?\nAnswer: -392243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6 - (-3 - (1 + 52)). Suppose 0 = -3*i + k + 478. Is 12 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y. Suppose -11 = 4*h + 13. Let d(i) = 8*i + 2. Let z(p) = h*j(p) - d(p). Let s be z(-2). Solve -3 = -m - s for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/(-14) + (-2)\/7. Let v be ((-2)\/(-200)*6)\/(527\/68 + -7). Sort 1\/5, c, v, -4.\nAnswer: -4, v, 1\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 + 2)*(-13*h + 12*h**2 + 13*h) - 22 + 22 + 8*h**2.\nAnswer: 68*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 149971 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -9*w**2 + 4*w + 70. What is s(-4)?\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 268 and 2180?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3836 (base 13) to base 12\nAnswer: -4758","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-900)\/54)\/(-1) - 40\/(-30).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2481 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 4*z - 28 = 0, -16 = 21*j - 22*j - 3*z for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*j + 1872 = 52*j. What is the highest common factor of 16 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -5436?\nAnswer: -1\/906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 7c1099 (base 14) to base 15\nAnswer: 587de4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 458293145?\nAnswer: 5, 1319, 69491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11198681?\nAnswer: 13, 861437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(5\/2 + -2). Let h be -12*((-27)\/6 + l). Calculate the highest common factor of 6 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13455, 13459, 13463?\nAnswer: 13467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w - 1. Let a be (12\/(-10))\/(6\/(-15)). Let p be n(a). Solve -p*r = 3*g - 14, g - 2 = -2*r + 8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s**3 + s**2 - 8*s - 41. List the prime factors of o(-7).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -250\/89 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 + 11*b + 11. Let t be l(-10). Suppose m + 0 = -t. Let x be m\/(-2)*2 + 11. Is x bigger than 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -4*a**3 + 9*a + 8. Let o be i(-3). Let f = o - 68. Let h be 7\/1 + -1 - -1. Solve -f = -3*k + 3*s - 6*s, -5*k + 2*s + h = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2565 + 3022. What is the hundreds digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -39*o**3*q - 101*o**3 + o**2*q + 9*o**2 + 6963198*o*q + o wrt o.\nAnswer: -234*o*q - 606*o + 2*q + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -169\/300000 and -163\/9120?\nAnswer: 5700000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.276323 nanometers in millimeters?\nAnswer: 0.000003276323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.2 - 0. Let x = -3.2 - i. Sort 1, x, 5\/4.\nAnswer: x, 1, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 15*z**2 - 478*z - 6757. Give y(-23).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 327184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.32 - -75.68. Let v = p + -16. Let b = 42 - v. Put b, -1\/8, 3 in ascending order.\nAnswer: b, -1\/8, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 47*z - 453. Calculate the remainder when 251 is divided by l(10).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 4*y**2 + 5*y + 4. Let h be z(-5). Let c = 2593 - -1000. Suppose 0 = -5*n - h*i + 3591, 2*n - 7*n - 2*i + c = 0. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 23 and -346150?\nAnswer: -7961450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 601, 0, 10, -16.\nAnswer: -16, -3, 0, 10, 601","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75774 is divided by 87.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -6*q. Let n(m) = 2*m - 3. Let i(j) = 1. Let c(k) = 3*i(k) + n(k). Give s(c(z)).\nAnswer: -12*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2664 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -62) + (56 - (108 - 28))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or 305?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153311 is divided by 1333.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -318\/11 - -29. Which is the third smallest value? (a) j (b) -2\/13 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d**2 + 24688 - 2*d**2 - 2*d**2.\nAnswer: d**2 + 24688","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 340 divide 2316115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 166115 - 166114 = 3*t, t - 5 = -5*m for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*m**3 - 19*m**3 - 7*m**3 - 16*m**3 - 20*m**3.\nAnswer: -9*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 544*r = -1134*r - 5784*r - 156702 for r.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*w + 222*w - 125*w = 2*t - 3*t + 123, t + 7 = 2 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*o**2 - 172*o**2 + 5 - o**3 + 0.\nAnswer: -o**3 - 191*o**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(s*(s*s*s*s**(-36)*s)\/s))*s)\/s)\/(((s\/(s*s\/(s**(-5\/4)*s))*s)\/s)\/s) assuming s is positive.\nAnswer: s**(-119\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2 + u - 2 - 6. Let g(b) = -b + 7. Suppose 0 = -r - 1 - 6. Let d(z) = -z + 7. Let t(h) = r*d(h) + 6*g(h). Give -7*t(l) + 5*x(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -55 - -15. Let h = 60 + k. Calculate the highest common factor of h and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.9 from -68273355645508.\nAnswer: -68273355645507.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 8*p**2 + 9*p - 1. Let y be j(6). Let b(g) = -g**2 - 25*g + 16. Is b(y) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 45\/12 - 2\/(-8). Suppose -6 = 4*y - 14, 4*y = h*t + 16. Let v be ((-2)\/3)\/(t\/3). Is 0 bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -2 (c) -38 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 44*q**2. Let m(u) = 254*u**2. Determine m(f(d)).\nAnswer: 491744*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.51, -203.5, 21?\nAnswer: 1.51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36 - -23. Let p = j - -17. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -3*o**3\/4 + 7*o**2 - 7*o - 8 = 0.\nAnswer: -2\/3, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (114\/(-30) + 4)*1.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -204247*g**4 + 42505.\nAnswer: -816988*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2662 + -2?\nAnswer: 2660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 4*z - 13 = 0, -16 = -4*b + 2*z - 28 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 25, 47, 75, 109, 149, 195, 247?\n\"Answer: 3*q**2 + 13*q + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of 0 + 0*c**3 + 48*c - 1\/6*c**4 + 0*c**2. Let l(s) = 259*s**2 + 1. Determine l(t(d)).\nAnswer: 1036*d**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2310\/(-30) - -67) + 311\/31.\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19917 or -3604951\/181?\nAnswer: -19917","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -1537?\nAnswer: 1532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/39 - 2453\/143 - -55?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120232 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + -2)\/(12\/18) - -98. Suppose -i - 25 = 5*k - n, i + 34 = 3*k. Suppose -21*r + 80 = -k*r. Calculate the highest common factor of r and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 249*u**2 - u + 1. Suppose -4*m + 6*m = 2. Is l(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 64 + -63.84. Let u = 0.14 + i. Which is the nearest to 2? (a) u (b) -2\/3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*q**5 - 41*q**4 - 19151*q wrt q?\nAnswer: -260*q**3 - 492*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*a + 47*a + 65*a**2 + a**3 - 162*a**2 + 1 + 45*a**2 + 78*a**2 in the form t*a**3 + v*a**2 + o + y*a and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12 - (-105)\/(-15))\/(10\/4). Suppose n*k + 310 = 2*l, -k - 4*k - 467 = -3*l. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.5? (a) 0.1 (b) 1 (c) 119 (d) -27 (e) -5 (f) 3\/584\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v - 1. Let c(f) = -3*f + 4. Let p be c(4). Let r = 11 + p. What is the units digit of j(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*(-5*w + 3*w + 4*w) + 3 + 2*w - 5*w + w - 103 + 103 + 8*w + 0*w - w + 0*w + (-4 + 1 + 5)*(-1 - w + 1) + 0*w - 2*w - 3*w.\nAnswer: -4*w + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 1 = -11. Calculate the remainder when (-2)\/(-3) - 50\/n is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w**2 - w + 2. What is the remainder when ((-7)\/(-2))\/((-3)\/198*-11) is divided by q(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-8)*2*3*162\/((-1512)\/(-56))?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**3 - 4*t**2 + 4*t + 6. Let q be ((-81)\/(-2))\/9*-2. Let r(s) = -5*s**3 + 9*s**2 - 8*s - 13. Give q*x(m) - 4*r(m).\nAnswer: 2*m**3 - 4*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15739\/667 - -1269\/58. Find the common denominator of n and ((-2)\/15)\/((-4)\/745).\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3901*d + 3898*d = -7*p + 40, 4*d + 9 = 3*p for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 184760 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(176) - sqrt(176)*-2) + -3)*-2.\nAnswer: -30 + 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240*q = -244*q + 1736. Let w = 688 - q. Calculate the remainder when w is divided by 51.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*m + 218 + 46. Suppose 5*l = -m + 384. Does 18 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -9*g + 23. Let p be t(12). Let k = -84 - p. List the prime factors of k - 6\/((-18)\/231)*1.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (302*n**2 - 57*n**4 - 302*n**2)*(3*n - 4 + 4).\nAnswer: -171*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6035*z - 153*z + 139719 - 50804 + 109101 = 0 for z.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 80 + -79.86. What is w rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2492798644 is divided by 334?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -29.4, 56, 0 in descending order.\nAnswer: 56, 0, -29.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*s + s + 16. Solve 2*v + 4*q + 24 = -0*q, 0 = 4*v - s*q + 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/2, -10, 0.064?\nAnswer: 0.064","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*p + 9. Let s(m) be the second derivative of m**5\/5 + m**3\/6 + m**2\/2 + m. Determine s(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 5*d**5\/4 + 43*d**4\/4 + 87*d**3\/4 + 53*d**2\/4 - 2*d - 3 = 0.\nAnswer: -6, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32 by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 183 + -138. Suppose -39 - 7 = -2*b. Calculate the remainder when i is divided by b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 10*m - 9*m = -6, -4*m - 16 = 2*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1913.\nAnswer: 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50 and 2849650?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 248*-5.\nAnswer: -1240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 112071, 225478, 338885, 452292, 565699?\n\"Answer: 113407*g - 1336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20400522 (base 7) to base 11.\nAnswer: -a71205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11775.\nAnswer: 3, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7130 divided by -5.\nAnswer: 1426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 23*q + 1. Let c be a(-1). Let v = c - -9. Let b = 30 + v. Calculate the greatest common factor of 68 and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 4*r**2 - 2*r. Let h be j(2). Suppose -h*y + 0 + 12 = 0. Solve -2*u + y = -u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + p - p)*(19 - 36 - 19).\nAnswer: -36*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 366940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (-16 - (-29 + -6)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -0*l. Let t = 2 - l. Solve t*d - 5 = -z + 1, 2*d - 18 = 2*z for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-19)\/(-17 + -2))\/3.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/10)\/(12\/8*-1)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - 7*z**2 + 118*z - 350. Determine k(4).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ichiicccwh. Give prob of picking 1 c and 1 i.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2064381555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1904951 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeqeeeeeeeeee. What is prob of picking 1 q and 3 e?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 10637.3 to the nearest one hundred.\nAnswer: 10600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - 11220210100?\nAnswer: -11220210101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -9*j**3 - 14*j**2 + 4*j - 5. Let d(o) be the third derivative of o**6\/24 + 7*o**5\/60 - o**4\/12 + o**3\/2 + 5560*o**2. Give 7*d(i) + 4*z(i).\nAnswer: -i**3 - 7*i**2 + 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7176)\/(-168) + -42)*-49.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/39 - ((-1084)\/(-1638) + (-8)\/36)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11*26\/(-66)*-3?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1689 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 58481*k**2*s - 339433*k**2 + 18*k*s**2 + k*s + 40*k - 5*s with respect to s.\nAnswer: 58481*k**2 + 36*k*s + k - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -h - 7*l + 4*l, -h = -l - 19. Solve 5*g - h = 11 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 0.4 (c) -637 (d) 1\/2 (e) -6\/5 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 270 + -160. Let h be 1*(q + -2)\/4. Let d = 27 - h. Solve -4*n + 3*n + 3 = d for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*d**3*f - 5*d**3 - 2*d**2 + 8*d*f - 1 wrt d?\nAnswer: -108*f - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-530)\/(-15)*(-12)\/(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 258827383 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/4745 and -103\/9660.\nAnswer: 9167340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -84 - 94 + 296 - 3*d + 3*d**2 wrt d?\nAnswer: 6*d - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/2)\/((-111)\/37)*1\/(-23)?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -60 - -143. Let m = 83 - r. Which is the closest to m? (a) 1\/5 (b) -4 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k - 6. Let w(b) = b - 1. Let d(s) = 7*s - 1. Let c(q) = d(q) - 6*w(q). Let a(m) = -6*c(m) - 5*g(m). Let u(x) = 3*x - 5736 + 5736. Determine a(u(t)).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.676504mg?\nAnswer: 676.504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 3*x + 3 = -2*w, 2*x + 25 = 5*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -55 * 64784.\nAnswer: -3563120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h = -18*h + 25. Solve 0 = -t - h*b + 15, -b + 2 = -2*t - 3*b for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w - 34*w - 806 = -14 for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - -62)\/(-3 + -3 + 4). Which is smaller: o or -29?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-6)*9\/(-84)*-2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of -58*c**7\/105 - 37*c**3\/2 - 2*c**2 + 19*c. Find the first derivative of o(k) wrt k.\nAnswer: -464*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c. Let i(t) be the third derivative of 0 + 15*t**2 - t + 1\/24*t**4 + 11*t**3. Determine i(r(l)).\nAnswer: -l + 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence din when three letters picked without replacement from {n: 3, i: 11, m: 1, d: 5}?\nAnswer: 11\/456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/13? (a) -1 (b) -2\/3 (c) 0.14 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, 2, 3, 255 in decreasing order.\nAnswer: 255, 29, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 62 = -t, -181 = -114*t + 111*t - q. Calculate the greatest common factor of t and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h**3 + 12*h**2 - 6*h. Let s be q(5). Suppose 405 = 3*a + w, -3*a - 3*w + 385 = -s. List the prime factors of a.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 71*v + 8. Let n be l(0). Solve y - 2*y = 2*r + n, -r = 5*y - 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**3 + 3 - a**3 - 2*a**2 + a + a**2 - 3*a**2. Let x be w(3). Let r be ((-19)\/5)\/(x\/15). What is the greatest common factor of r and 190?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/7)*t**2)\/(t\/(t\/t**(-3\/7)*t)*t*t*t**(1\/3)*t)*(t**1)**(-29)*(t\/t**1)**(-3) assuming t is positive.\nAnswer: t**(-613\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1246\/241345 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -247\/11954 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 46848.\nAnswer: 234240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8116011?\nAnswer: 3, 300593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 8 + 13 - c**3 + 25 + 7 - 12*c**2 + c + 3*c**2. Determine g(-9).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 + 20. What is the common denominator of 37\/4 and (-12)\/10*n\/(-7)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 21964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/8 and 29\/794?\nAnswer: 3176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1667797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 4 - 3)*(0*x**2 + 4*x**2 - 5*x**2)*(x - 3 + 3).\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 61\/33 + -13\/11. Find a such that 1\/6*a**2 - c*a + 1\/2 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 46*f - 124 = -22*f. Factor -2\/9*z**f - 5\/9*z + 4\/9*z**4 + 4\/9*z**3 + 1\/9*z**5 - 2\/9.\nAnswer: (z - 1)*(z + 1)**3*(z + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*v - 3596 - 125014. What are the prime factors of v?\nAnswer: 2, 3, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005725 rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 3*w = -15, 1 - 26 = -5*o - w. Suppose 0 = 5*x - o - 5. What are the prime factors of x\/5 - (-23)\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wfswbswfwww. Give prob of sequence sf.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4206189, -0.2 in ascending order.\nAnswer: -5, -0.2, 4206189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 4*j - 10 = 2*m, -5*j - 5 = 5*m. Let q be ((-4)\/6)\/(m\/(-6)). What is the closest to 2\/3 in 2\/7, -0.3, q?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3603 + -3582. What is the greatest common divisor of v and 343?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o**5 + 2595*o**4 + 242005*o**3 - 2719475*o**2 - 3432570*o + 5907440 = 0. Calculate o.\nAnswer: -392, -137, -2, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 + 5*n - 4. Let t be j(4). Suppose 0 = -t*y + y. Are 1\/13 and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - 55137128.\nAnswer: -55137127.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p**3 + 0*p**3 + 0*p**3 + (-2*p**2 + 0*p + 0*p)*(-2*p + p + 4*p) + p**3 + 6*p**3 - 5*p**3 to the form y*p**2 + f*p + h*p**3 + c and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1821 divided by -3.\nAnswer: -607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 4 (c) -0.3 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -2*f**3\/19 - 1722*f**2\/19 - 180*f + 13744\/19 = 0.\nAnswer: -859, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -138029 or -137649?\nAnswer: -137649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (26 - 29 - 28)*(2*j - 4 + 4) to i + n*j and give n.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1249 - 1239 = -8*i - 2416 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 144663\/2 and 72332 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 6:24 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of 1\/2*a**3 - 3\/2*a**2 + 1\/3*a**4 + 0 - a. Is d(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2549, -2567, -2599, -2651, -2729, -2839, -2987?\nAnswer: -3179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 + -14. Let g = 9 - k. Suppose -b = -g*b. Is b != 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33505 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2560, 2558, 2556?\n\"Answer: -2*z + 2562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -22484 to the nearest 100.\nAnswer: -22500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 368 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -257 + 1803\/7. What is the closest to f in -2, -2\/15, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 5*x - 5. Let h(i) = 2 - 2*i - 2 + i - 3. Let t be h(-8). What are the prime factors of q(t)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of 2*i**5\/45 - i**4\/3 - 10*i**3\/9 - 8*i**2\/9 - 54. Find q, given that p(q) = 0.\nAnswer: -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*j + 139612 + 291270 = 0. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 506\/7 + 8\/(-28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 206.53.\nAnswer: 103.265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 2 = h, -20*h = 7*v - 17*h + 18 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 98 + -54. Calculate the highest common factor of k and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 707*x + 198*x + 1142 + 8813 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2*i - 18 = 0, -3*n = -2*n - 5*i - 30. Let u = n - -4. Let a = 1 - -1. Calculate the greatest common factor of a and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) - -4*sqrt(88)*-2)\/sqrt(8) - 2*(2*sqrt(1100))**2) + 3 + (sqrt(396)*2 + -2)**2 + 3.\nAnswer: -7206 - 55*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/9112 and 37\/150616.\nAnswer: 2560472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 154*p**2 + 211*p + 852 - 212*p + 5124 with respect to p.\nAnswer: 308*p - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 22, 18, -6, -56, -138, -258, -422?\nAnswer: -636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*b + 13*b - 31*b + 10*b.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1603 - 136?\nAnswer: 1445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3627, -3, 0, -4, -5, 5 in increasing order.\nAnswer: -3627, -5, -4, -3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -2. Let f(q) = q**2 + 4*q - 10. Let y be f(-6). Let i(c) = -c + y - 3*c + 2 + c. Determine i(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*4\/(-24)*16. Let v be u\/(-24)*(-12 + -3). Suppose 0 = 4*o - 3*o - 4. Solve -v*j + o = -1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.5595 + 1.49. What is s rounded to 3 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15*(-3)\/135 + 0 - 14\/33.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from knnnknn. What is prob of sequence kkn?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 32 + 29 = 0. Let o be 5 + 0 + (-8)\/w. Sort 2, o, -3\/4, 2\/3.\nAnswer: o, -3\/4, 2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 5 = -2*f, -2*h - f - 4*f = 18 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - 4*h**2 - 6*h + 9. Let x be m(5). Suppose 0 = -3*u - 15, -1135 = 3*l - x*l + 4*u. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + -4 + -1 - 0. Let y be (-16)\/(-3) - 2\/o. Let r be 56\/y*3*4. Calculate the greatest common factor of 14 and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((2 - 2) + -2)*1. Let g be a\/(-8) - (-31)\/4. Let l = g - 3. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -721305, -1442650, -2163997, -2885346, -3606697?\nAnswer: -4328050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-12504)\/(-3114) - 4)*1437\/1916\nAnswer: 2\/173","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 14*u**3 - 4*u**4 + 10*u**2 - 6*u**3 + 3*u**2 - u**2 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - 5*u**2 - u - 5. Let p be f(-5). Find the second derivative of 3*a**3 + 0*a + a**3 + p*a + 6*a wrt a.\nAnswer: 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -5292112?\nAnswer: -5\/5292112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -3 (b) -2\/39 (c) 1991.17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3867?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + 11*j + 12. Give b(-7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -2\/13 (b) -4\/7 (c) 1\/7 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.04223547355 + 497.95774042645. Let f = 498 - c. What is f rounded to six decimal places?\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 2617 = -11*b - 2877 for b.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1226 by 613.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -219*a**2 + 8*a**2 + 15*a**2.\nAnswer: -196*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/1*216\/72.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 7*u**2 - 68*u - 172. Calculate the remainder when c(17) is divided by 170.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19076559 and 6066?\nAnswer: 114459354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of 15*w**5 + 5*w**4\/4 - 10*w**3\/3 + 16. Find r such that m(r) = 0.\nAnswer: -2\/5, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -21, -34, -41, -42?\n\"Answer: 3*n**2 - 22*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34644 divided by -1.\nAnswer: -34644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/2379 and 25\/366.\nAnswer: 4758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (-16 - 1 - (-55 - -67))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r**3 + 3*r**2 - r + 1. Let z(a) = 11*a**3 - 24*a**2 + 15*a - 57. Let x(h) = 5*t(h) + z(h). Give x(9).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/12 - (-298)\/(-8). Let q = x - -75. Does 14 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of 12*k + 0 + 0*k**4 + 39\/20*k**5 + 20\/3*k**3 + 0*k**2. Find the second derivative of j(i) wrt i.\nAnswer: 234*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/((-2106)\/13)*15\/(-110)\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3*m**2 + 10*m - 91. Let v be k(-16). Suppose -1355 = -16*x + v. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 10. Suppose 0 = u*o + 11 + 19. Let d(t) = t**3 - 38*t**2 - 124*t + 36. Let p be d(41). Is p < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-5 + (0 - -2) - -3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13\/28 - 3\/14. Let w be ((-44)\/10 - -4) + (-4)\/(-10). Which is smaller: b or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 17*f + 60. Let q(w) = 8*w + 29. Let t(z) = -6*b(z) + 13*q(z). Let h be t(-7). Sort 0, h, -2, 4 in increasing order.\nAnswer: -2, 0, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26.6 + -48.5. Let y = h + 22. Which is greater: -3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.138866 times -2\nAnswer: -0.277732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + 22*l**2 - 15*l - 29. Let z be y(17). Find the second derivative of 1228*q - z*q - 11*q**2 + 30*q**2 wrt q.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168138971 is divided by 84069482.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 219 = r. Find the common denominator of 5 + -3 + 2\/(-60)*r and (116\/2)\/(12\/9).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of 20*u**3\/3 + 10*u**2 - 10*u. Let w be f(4). What is the highest common factor of w and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3234 and -3211 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*f = -5*f + 15*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qtqbbswp. Give prob of sequence wpsq.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 6*l = -165. Let z = l - -36. Solve -g = -z*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 3*k + 68 = k, 3*t = -3*k + 42. Let 15*x**3 - 3*x**2 - 2*x**4 - t*x**2 + 25*x**2 + 7*x**4 = 0. What is x?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11441 + -5?\nAnswer: 11436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 107 and 49969?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 r, and 1 v when three letters picked without replacement from {v: 1, d: 3, q: 1, r: 3, c: 2, w: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -509752, -509746, -509740, -509734, -509728, -509722?\nAnswer: -509716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 20\/(-3)*90\/(-75). Suppose -27*c + 23*c + f = 0. Solve -2*y = c*y - 16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 8:44 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - ((5 - (2 + 1)) + 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-6) - 11\/2. Let o = -3 - f. What is the third derivative of -o*i**2 + 2*i**2 + 3*i**2 - 4*i**6 wrt i?\nAnswer: -480*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, -2\/3, -4, -2, -33?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 60.988 - -0.812. Round i to 0 dps.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2*m + 4 - 5)*(-70 - 44 - 5)*(0 + 0 + 1)*(1 - 1 + 2) to the form h*m + o and give o.\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (102\/(-510)*(-10)\/(-4))\/11\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42276 + -42277. Which is the smallest value? (a) 0.2 (b) 0.12 (c) -0.1 (d) y (e) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4367607242 to the power of 1\/5, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -19*v**3 + 4*v**2 + 4*v + 4. Let s(m) = -37*m**3 + 7*m**2 + 7*m + 7. Suppose 152 = 8*u - 46*u. Determine u*s(p) + 7*h(p).\nAnswer: 15*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 67*r = -72*r - 11173815, 2*t - r = 11173803. Round t to the nearest 100000.\nAnswer: 5600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50 + -48. Suppose -7 = z - j, 2*z + 3*j + 28 = -u*z. Let l = z - -29. What is the remainder when l is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1230 = 1404*p - 1434*p for p.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 5*s, -9 = 5*o - 5*s - 29. Solve 5*h - o = -4*r - 11, h + 17 = 3*r for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/3 + 1950*v - 5848\/3.\nAnswer: -2*(v - 2924)*(v - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -554*h + 1475*h - 3883 - 4*h**2 + 1283 + 387*h.\nAnswer: -4*(h - 325)*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*f + 9*f**2 + 7 + 0*f - 6*f wrt f?\nAnswer: 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*u - 2*h + 159216 = -28*u, -6*u + 238820 = 5*h. What are the prime factors of u?\nAnswer: 5, 19, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139195 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 96852?\nAnswer: 96852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + u**2 - u + 1. Let k be n(2). Let l = 10 - -22. Suppose h + l = 5*h. Solve j - k = 2*v, -4*j = 3*v - h + 19 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14.47 + 15.2. What is a rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4*(-1)\/4*-5. Let j = -3 - k. Solve -3*s = j*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.2*6.\nAnswer: 25.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1182)\/(-78) + -6 + (-4)\/26. Let c be 4 - -1 - r - -33. What is the third derivative of 69*q**2 - c*q**2 + 14*q**4 - 31*q**2 wrt q?\nAnswer: 336*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(153)*3*3)\/sqrt(9))**2 + (1*1*sqrt(68))\/(sqrt(400) + -2*sqrt(400)).\nAnswer: 719*sqrt(17)\/10 + 1393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2. Let y(i) be the third derivative of -i**4\/24 + 11*i**3\/6 - i**2. What is -11*d(l) - 2*y(l)?\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 15*i**2 + i - 18. Let b be p(15). Let r = -6 - -11. Sort r, b, -4 in decreasing order.\nAnswer: r, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7 and 857563.\nAnswer: -6002941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1057380 (base 10) in base 16?\nAnswer: -102264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-28)\/(-10) + 16\/80. Determine g so that -g - 4*g + 6*g**3 - 2*g**v + g = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -k**8\/3360 + 11*k**7\/6720 - k**6\/576 - k**5\/480 - 13*k**3\/3 - 46. Let c(t) be the third derivative of s(t). Factor c(r).\nAnswer: -r*(r - 2)*(r - 1)*(4*r + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12565 and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 3 (b) 0 (c) -9.26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 899 = 96*b - 1405 for b.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 1) + -13 + 26\/6*(-2005185)\/(-661297).\nAnswer: 6\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - 10. Let d = 17 + w. Suppose d = -4*v - 4*j + 24, -j + 53 = 3*v - 5*j. Is v even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w**3 - 6*w**2 + 34*w + 132. Calculate x(-8).\nAnswer: 500","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lnln when four letters picked without replacement from {n: 3, l: 15}.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3093182 from 0.0632.\nAnswer: 3093182.0632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 127*j - 74. Let k(l) = 63*l - 37. Let g(f) = 11*k(f) - 6*x(f). What is the units digit of g(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in x**3\/3 - 163573*x**2\/3 + 327143*x\/3 - 163571\/3 = 0?\nAnswer: 1, 163571","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17434672 and 318784?\nAnswer: 4688","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/1805556 and 71\/24?\nAnswer: 3611112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -0.07125 (c) -3 (d) 3 (e) -0.002 (f) 0 (g) -3\/2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 6*l**2 - 4*l. Let m be x(5). Suppose m*s - 30 = 40. Calculate the greatest common divisor of 56 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/6, 5, -32, 3\/5, 4, -4365, 0?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -0*l - 6. Suppose -11 - 10 = -l*n. Let g be 96\/n + (-4)\/(-14). Solve -4*h - 14 = -2*u, 3*u - 5*h - 4 = g for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 1)*(v**2 + 14 - 14)*(8*v**2 + 46*v**2 + 81*v**2).\nAnswer: -135*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.33, 0.19, -165\/8, -2\/23 in decreasing order.\nAnswer: 0.33, 0.19, -2\/23, -165\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mml when three letters picked without replacement from mmmmmmmmmalmmmm?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2434023 (base 5) to base 4.\nAnswer: -23100322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 6*y**2 + 15*y + 5. Let c = 3235 - 3240. Let q(w) = w**2 + 1. What is c*q(p) + i(p)?\nAnswer: p**2 + 15*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1687*k - 769*k - 726*k = -3456 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/n**(-6\/13)))\/((n\/n**24)\/n))\/(n**(-10)\/n*n*n**(-2\/13)\/n*n) assuming n is positive.\nAnswer: n**(438\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a tonne in kilograms?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -1\/22 (c) -1\/2 (d) 7\/4 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 - -22. Suppose 5*w + 0*x = x + 21, -5*x = -n*w + 21. Suppose -2*o = -w*f, -2*o + 12 = 3*o - 4*f. Solve -o*s + 9 = -3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 2836 = q, 0*s - q = 4*s - 3772. Let u(m) = 59*m**3 + m - 1. Let v be u(1). Calculate the highest common divisor of v and s.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -53*j - 1824. Let w be s(-35). Solve -3*u - w = 2*b - 16, -2*b - 21 = 5*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*g**2 + 36 - 2*g**3 - 18 - 21 as o*g**3 + m*g + c + h*g**2 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2153655 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 65999128 to the nearest integer?\nAnswer: 8124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/1 + (-7 - 22169\/(-1477)). What is the third smallest value in w, -0.4, 0.4, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i + 5. Let o be (-5 + 4)*(-5 + 1). Give j(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -75648.\nAnswer: -1\/25216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -10*m**2 - 313*m - 76. What is the remainder when 453 is divided by g(-31)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -251, -490, -723, -950, -1171, -1386?\n\"Answer: 3*q**2 - 248*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-25)\/325)\/(1860\/55428*1*4\/(-260)).\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(27) - (sqrt(81)\/sqrt(3) + sqrt(27))) - (-2*sqrt(162))\/sqrt(6).\nAnswer: 5 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 5*w**2 + w**3 - 765*w - 3 + 758*w in the form n*w + v + k*w**2 + m*w**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of 3509*p**7\/105 + 10*p**4 - 7*p**3\/3 - 22*p**2 - 28*p. What is the second derivative of k(b) wrt b?\nAnswer: 84216*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9900 = -40650*x + 40875*x for x.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -11*u. Let i(d) = 1196*d. What is k(i(m))?\nAnswer: -13156*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - c1b?\nAnswer: -c17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 92.71 - 92.91. What is the closest to 0 in 110, -1\/12, b?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1170\/8)\/((-21)\/(-56)). What is the units digit of (-3)\/(-7) - s\/(-21)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3434\/13 + 199939\/754. What is the common denominator of u and 1\/76?\nAnswer: 2204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one halves of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13135541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*a + 69 = 0, 3*r - 4*r + a = -61. Let q = r - 569\/9. Is 2\/7 at least as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 + 0)*(-3*t**2 + t**2 + 0*t**2) + 58 - 2*t + t**2 - 58.\nAnswer: -9*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1001010 (base 2) to base 16\nAnswer: 4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-7))\/((-118)\/(-413)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 558885 and 37365.\nAnswer: 795","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -725 + 2543 - 15*k**3 - 1818.\nAnswer: -15*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -262, -417, -572, -727?\nAnswer: -882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1\/4, -595, 4 in decreasing order.\nAnswer: 4, 2, -1\/4, -595","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of y**5\/240 - 3*y**2\/2 - y. Let x(g) be the first derivative of r(g). Solve x(u) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.07? (a) -5 (b) 1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 10:03 PM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2168819, 4337677, 6506557, 8675471, 10844431, 13013449, 15182537, 17351707?\n\"Answer: 2*r**3 - r**2 + 2168847*r - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 129.\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, -71, 5, 4, -3 in descending order.\nAnswer: 5, 4, -3, -45, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 232 divided by 212.\nAnswer: 58\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + 12*m - 8. Let k be v(-14). Suppose r - 4 = k. Is (-29)\/(-6) + r\/144 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 1. Let a be (-104)\/(-3) + (-2)\/c. Let s = -361 + 412. What is the greatest common factor of s and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 6. Let m = 75 - 79. Put y, m, -2 in decreasing order.\nAnswer: -2, y, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -139432 or -139434?\nAnswer: -139432","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1785 - -1821. Calculate the greatest common divisor of 1593 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -586\/133, -2\/23, 0.3?\nAnswer: -586\/133","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 - 6266*r + 292287. Calculate u(47).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 PM and 5:16 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -50 + 103\/2. Which is the nearest to 0.2? (a) 0 (b) r (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/6 + 194783*z**2\/6 - 4284863*z\/6 + 23566081\/6.\nAnswer: -(z - 194761)*(z - 11)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*c = 5*m - 55, -5*c = -4*m + 44. Let v(z) = -z + 10. Let w be v(3). Let j = m - w. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3788 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 454600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*w = 10*w + 82 + 62. Suppose 0 = -3*g + 19 + 44. What is the remainder when g is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o\/(o**7\/o))*o**(-4)*(o\/(o\/o**5))\/o**(-2)*(o**(1\/4))**(-6\/19)*(o*o**0)**(-2\/37) assuming o is positive.\nAnswer: o**(12467\/1406)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -54357 and -1?\nAnswer: 54356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13213010 (base 4) to base 15.\nAnswer: 9382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**2 + 25*a - 19. Let k be z(14). Let o = 63 + k. Solve o*p = 7*p + 15 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -554591.\nAnswer: 2\/554591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(1\/4))**(-49)\/(h**5\/((h*h*h**(1\/4)*h)\/h)))**49)**16 assuming h is positive.\nAnswer: h**(-11760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-68)\/6 + 16 + -5\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 77030 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38 by 48.\nAnswer: 19\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -69149\/4 - -17288. Determine r so that k*r**3 - 3\/4*r**2 - 27\/4*r + 27\/4 = 0.\nAnswer: -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20948?\nAnswer: 2, 5237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 36 = 3*s, 51*s - 4 = h + 53*s for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.51 and 2040232.\nAnswer: 2040231.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 1\/2, 53, -0.2, -1\/6, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**2 + 36 - 31*g + 20*g + 15*g + 20*g.\nAnswer: g**2 + 24*g + 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6173 - -23790. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -28, -35, -42, -49, -56?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*z = -136*z + 2394 - 62 for z.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 7 - 20 = 0. Let o = 7 + t. What is the remainder when 13 + (-5)\/o*-2 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13\/89 - -401\/2136. What is the fourth biggest value in 0.23, -2, m, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/(sqrt(2) + sqrt(1568) + sqrt(2)))\/(4*sqrt(4)*-2*-1).\nAnswer: sqrt(5)\/240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.4, 103, -0.2 in increasing order.\nAnswer: -0.2, 0.4, 2, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 20 = -0. Let m be (-20)\/(-11) + q\/55. Solve 3*g - 9 = 0, 0*c + m*g - 6 = 5*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*v**2 + 1\/5*v - 4.\nAnswer: (v - 4)*(v + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j - 2. Let k(z) = 39*z + 54. Let d(h) = 54*f(h) + 2*k(h). Let t(u) = -17*u. Determine t(d(l)).\nAnswer: -408*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-1079.\nAnswer: 539.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -8*u - 45. Let p(h) be the second derivative of -h**4\/12 - h**3\/2 + 5*h**2\/2 + 4*h. Determine p(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9 - -930b8a?\nAnswer: 930b81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 4:13 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of -q**7\/280 + q**6\/90 - q**3\/3 + q**2. Let o(m) be the first derivative of h(m). What is the third derivative of o(t) wrt t?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a514 (base 13) in base 7?\nAnswer: 123365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/78858050 and 1\/7170?\nAnswer: 236574150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/3592090 and 73\/10.\nAnswer: 3592090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2.1 and 98.\nAnswer: 100.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7ab + -cd?\nAnswer: -878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + m - 3. Let l be i(-3). Let t(o) be the first derivative of 1\/2*o + 3 + 1\/16*o**4 - 3\/8*o**2 + 0*o**l. Factor t(u).\nAnswer: (u - 1)**2*(u + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -729.5759 - 3642.9311. Let o = 4368 + m. Let c = o - -4.72. Round c to 2 decimal places.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*t**2 + 34*t**5 + 5*t**2 - 33*t**5 - 15*t**4 - 23*t**4 wrt t.\nAnswer: 60*t**2 - 912*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18 - 5 - 5 + 35 + 6*k to c + u*k and give c.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -98834.1 rounded to the nearest one hundred?\nAnswer: -98800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 87 + -523\/6. Let q = 18.1 - 17.7. What is the nearest to m in -3, q, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142997382?\nAnswer: 2, 3, 11, 19, 38011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28079, -28100, -28141, -28208, -28307, -28444, -28625, -28856?\nAnswer: -29143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.97 + -0.03. Which is the closest to r? (a) 0.5 (b) 0 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -23, -30, -39, -50?\n\"Answer: -q**2 - 4*q - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 1619*v - 7.\nAnswer: 1619*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of -617*s**4\/24 - 244*s**3\/3 + 162*s**2. Differentiate a(y) wrt y.\nAnswer: -617","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(80) + -2 + sqrt(80)) + -1)**2 + 5*(((sqrt(80) + 3)*-3 - sqrt(80)) + sqrt(80)).\nAnswer: -220*sqrt(5) + 1260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1479 + 12. Let p = -398 - j. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8842583?\nAnswer: 233, 37951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 5*y - 875, 4*v + 34*y = 32*y + 1132. Suppose r = 288 - v. Solve -3*u + r*k - 4*k = -4, 2*u - 26 = 4*k for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -123 (c) -62\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/1 - (-7 + 5). Suppose 5*k = 4*y - 2*y + 15, 0 = -l*y + 4*k - 10. Suppose 4*n - 1244 = -y*s + s, 598 = 2*s - 4*n. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -9*u + 28. Let w(b) = 25*b - 85. Let y(s) = -11*r(s) - 4*w(s). Let h be y(24). Solve -4*l + 3*j - 25 = -h, -3*l = -j + 9 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 u when three letters picked without replacement from {o: 3, c: 5, j: 2, u: 3}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*c - 169*c + 122*c - 71*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25\/20*(-32)\/400.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221761 is divided by 234?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 169 + -200 + (-1 + 2 - 2 - -3)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of j**7\/7 + j**4 - 301*j**3\/3 - 5. What is the third derivative of g(u) wrt u?\nAnswer: 120*u**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 + 4*q - 4*q)*(-4492 + 2972 + 3476) - 2*q**2 - 3*q**2 + 0*q**2.\nAnswer: -3917*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4adb82 (base 14) to base 11\nAnswer: -14a8483","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 l when two letters picked without replacement from oorhl.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.08 in -13.6, -0.05, -0.18, -1\/6?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 2*b + 5 = 0, -107*x - 22 = -103*x + 2*b for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 798898627.\nAnswer: 53, 15073559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -325*y - 730*y + 93*y**4 + 387*y**4 + 185*y**4 + 62*y**4 wrt y?\nAnswer: 8724*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 8 + 2 + 1 + 0 - 2 + (4 - 6 - 1)*(1 - 3 + 3) + 2 - 4 + 0)*(3*s**3 - 2*s**3 + 0*s - s - s**2).\nAnswer: 6*s**3 - 6*s**2 - 6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3*u + 12 = 0, 2*u = 2*m - 5*m - 23. Let w(y) = y**3 + 10*y**2 + 8*y - 7. Let c be w(m). Suppose 192 = c*r + 58. What are the prime factors of r?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 128*k**2 + 14*k - 91. Is p(12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11330590 is divided by 56.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 19*m**2 - 23. Calculate p(19).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*o**5 - 306965*o**4 - 6285615600*o**3 - 43005911759840*o**2 - 1582854731824640*o - 1539855105373440 = 0. Calculate o.\nAnswer: -20452, -36, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*sqrt(34))\/(sqrt(20)\/(sqrt(10) - sqrt(40))) + ((-3*(sqrt(153)*-1 + sqrt(153)) - sqrt(153)) + sqrt(153))\/(-2*-2*sqrt(9)).\nAnswer: 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/4))**(1\/83))**(-1\/17)*((t*t**1)\/((t\/((t**4*t)\/t))\/t*t))\/((t\/(t\/(t\/((t\/t**(-3\/5))\/t))))\/(t*t**1)) assuming t is positive.\nAnswer: t**(186257\/28220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0*-2*(-1)\/2. Let b be 15*-2*(-1)\/6. Suppose -l = 4*j - b, -2*l - 3*j + 5*j = 0. Solve v = -5*p - 6 + l for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 702 and 3120.\nAnswer: 28080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -3*b**4\/16 - 85*b**3\/2 - 21675*b**2\/8 - 727. Factor i(x).\nAnswer: -3*x*(x + 85)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 18, 2337\/29, 0.2 in decreasing order.\nAnswer: 2337\/29, 18, 0.3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three sixteenths of a centimeter?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/15 - (-48)\/10. Suppose 0 = -d*w + 26 + 74. Suppose -2*o - 2*j = -w, -4*o + 3*j + 3 = -2. Solve 2*l + 3*y = l + 2, -o*l - 1 = 4*y for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - 2. Suppose -2*c - 5*k = 5, k = -2*c - 3*k - 4. Let u(m) = m**2 - m - 5. Let p be u(c). What is the second biggest value in p, 0.2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 3) to base 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((3 + (sqrt(272) - (-1 + sqrt(272))) - (sqrt(272) + 3 + -1*sqrt(272)))**2 - ((6*(sqrt(51) + sqrt(204)\/sqrt(4)))\/(-4*sqrt(6)\/sqrt(2)))**2) + 4).\nAnswer: -296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9856 and 3232?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-225 + 225 - 4*j)*(-j + 3*j - 5*j) to s*j + k + u*j**2 and give u.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -3*q + 152. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.2 - 2. Which is the closest to 0.3? (a) 1\/2 (b) u (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*w**2 - 220*w**2 - 74*w**3 + 109*w**2 - 79*w**3 - 640*w**3.\nAnswer: -793*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 102 + -54. Calculate the lowest common multiple of s and 15204\/546 + 21\/(-3) + (-4)\/(-26).\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oom when three letters picked without replacement from {a: 2, m: 3, l: 4, o: 2}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7)\/(-112)*(-64)\/(-12). Let l = 0.08 + 3.42. Which is the closest to l? (a) 2 (b) -0.5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 2*r**2 - 2*r + 2. Let y be x(3). Let k = y - -1. Solve 2*v = -2*d + k, -15 = -5*v + d - 2*d for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l*l**(2\/7)*l)\/l)**28)**(3\/7)\/(((l\/(l*l\/(l**(-2\/9)\/l)))\/(l\/(l\/((l\/((l*l**3)\/l))\/l*l*l*l))))\/(l\/l**(2\/3)*l)**(-32)) assuming l is positive.\nAnswer: l**(-820\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 95948083232 from 4.\nAnswer: -95948083228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/23))**(-22)*m**(-28)\/(m*m\/(m*(m**(-5\/3)\/m)\/m)) assuming m is positive.\nAnswer: m**(-2122\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.953015 centuries in years?\nAnswer: 95.3015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 54 + -54.4. Which is the smallest value? (a) m (b) 1\/4 (c) 1\/8 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 530?\nAnswer: 52c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222*f - 6*f = 206*f + 11284 for f.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -14*h. Let w(k) be the third derivative of k**5\/10 - 3*k**2 - 10*k. Give w(t(m)).\nAnswer: 1176*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 12) to base 5\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 784, 771, 758, 745?\nAnswer: 732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3 - 2 + 1 + 0. Let i(p) = -3*p - 6. Let t(s) = i(s) + 3*k(s). Let v(l) = -23*l. Determine t(v(h)).\nAnswer: 69*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4224, 15798, 35088, 62094?\n\"Answer: 3858*x**2 + 366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -343, -342, -337, -328?\n\"Answer: 2*b**2 - 5*b - 340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5749986 centimeters to kilometers.\nAnswer: 0.000005749986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -1 + 9. Suppose -o*v + 6 = -6. Is (-2)\/(-2) + 151 - v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 2*n**2. Let a = -11 + 25. Let j(v) = 7*v**2 + 101*v**3 + 2*v**3 - 106*v**3. What is a*q(o) - 4*j(o)?\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -7*q - 92. Does 12 divide m(-72)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/(4*sqrt(11)) - (2 + sqrt(13)*-3)**2.\nAnswer: -121 + 49*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 13898145+-24638.3\nAnswer: 13873506.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1644?\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5121 is divided by 5121.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109307801?\nAnswer: 173, 277, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*p - 29470 - 4850 = 0. Let x = 1 + 1. Suppose -10*q + p = x*q. Is q a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 13. Which is the second biggest value? (a) o (b) -2\/15 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2\/7, -0.2, 0.4, -3\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3779 - 3777. Calculate the smallest common multiple of q and 1210.\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 24*a + 315. Let d(g) = -2*g**2 - 15*g + 50. Let i be d(3). Let v be z(i). Factor -1\/6*u**v - 5\/6*u**2 - 4\/3*u - 2\/3.\nAnswer: -(u + 1)*(u + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6*(-1)\/(-2) - 6. Is 5 + s + 0 + 705 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 680012 = -2*v + 3*f, 5*f + 1020015 = 3*v. Round v to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14*-1.396395\nAnswer: -19.54953","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a*g**2*r*w - 53*a*g - a*r*w + 8*a*r + 3*a + 2*g**2*w + 3*g*r + 231*r + w with respect to g.\nAnswer: 4*a*g*r*w - 53*a + 4*g*w + 3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/55374 and 65\/27687.\nAnswer: 55374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of -23*d**8\/84 + 3*d**7\/70 - 148*d**5\/15 + 1838*d**2. What is the third derivative of x(n) wrt n?\nAnswer: -5520*n**2 + 216*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 21*q - 143. Let l be s(7). What is the third derivative of -43*v**2 - 2*v**5 + 16*v**l + 1798*v - 1798*v wrt v?\nAnswer: -120*v**2 + 384*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 345aad + -3?\nAnswer: 345aaa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of 1\/3*q**3 - 1\/20*q**5 + 1\/4*q**4 + 7*q + 5\/2*q**2 + 0. Give i(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 7:37 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5300606 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 542, 555, 582, 629, 702, 807, 950?\n\"Answer: u**3 + u**2 + 3*u + 537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/4 and (-1)\/(-10) + (-10 - (-6256)\/240).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 1804.\nAnswer: 1\/1804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 76971 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7779*c + 8390*c = 16497 for c.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/2 + 41*j**2 - 642*j - 62244.\nAnswer: (j - 38)*(j + 42)*(j + 78)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = q. Let p = 0 + q. Suppose p = -3*m + 18 - 0. What is the highest common divisor of 2 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 745170 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 4*d = 3*f + 4, -6 = -3*f + 2*d. Suppose -f*l + 2 - 18 = 0. List the prime factors of l\/(-16) + (1 - (-43)\/4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1262788510?\nAnswer: 2, 5, 4723, 26737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of y**6\/15 + 2*y**5\/25 - 12. Factor m(x).\nAnswer: 2*x**4*(x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 - 34*c**2 - 17. What is w(-34)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 121765?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 7919, 16643, 25367, 34091, 42815?\n\"Answer: 8724*z - 805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a kilogram in grams?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 138*q**2 - 6*q + 11. Let r(f) = -137*f**2 + 6*f - 14. Let k(p) = -4*o(p) - 3*r(p). What is the second derivative of k(y) wrt y?\nAnswer: -282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -12 + (-30)\/(-12)*2. Let h be l\/(-10) - 10\/20. What is the third biggest value in h, -2, -2\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 3425 + -256871\/75. Let q = -41\/300 + f. Which is greater: q or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1087605?\nAnswer: 3, 5, 24169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j**2. Let g(n) = 15*n. Give g(q(h)).\nAnswer: 45*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 113834 divided by 329.\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 111013 plus 0.5?\nAnswer: 111013.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-14) + (-1379)\/49. Which is greater: -53\/2 or r?\nAnswer: -53\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.064224 and 0.4.\nAnswer: -0.0256896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -34944713*p**2 + 23170641 wrt p?\nAnswer: -69889426*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -475*h**2 - 17*h + 13. Let w(u) = 949*u**2 + 37*u - 28. Let t(l) = 6*w(l) + 13*z(l). Find the second derivative of t(x) wrt x.\nAnswer: -962","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -4, 835, 4 in decreasing order.\nAnswer: 835, 4, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1 and -81236.\nAnswer: -81237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 26409281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) 0 (b) -5.54 (c) -0.01107\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*((-15)\/2 - -3). Let n = 9 + h. Suppose -b + 0*b + 12 = n. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6952 is divided by 232.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -3*b + 3. Does 5 divide c(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1733539 - -0.17417. What is g rounded to 4 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 72 = 4*m - 8, -3*v = -3*m + 60. What is the highest common divisor of 90 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8 minus 1.40397?\nAnswer: -3.20397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -337 + 691. Suppose -21 = -2*o + 5*x, -o + x = 2*x. Suppose 0*z - o*z = -g. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1330 (base 6) to base 14.\nAnswer: 1a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 3*n**2 - 4*n + 3. Let a be f(-4). Suppose 2*x - 30 = 5*o + 13, a*x + 5*o = 52. Solve r - 2*r - 6 = -3*p, 4*p - x = 5*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -50, -88, -110, -110, -82?\n\"Answer: c**3 + 2*c**2 - 51*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - c - 1. Let r be i(8). Let x be 5\/2*44\/r. Let v(w) = w**2 - w + 2. Let h be v(0). Solve 0 = -h*n + x, -5*d = 4*n - 13 - 1 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 4, -19 = -3*k + 2*y - 24. Solve 2*g - 1 = k for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -l*o**2 + 73247*l*o*s + 6645*l*o + 17*l + 7*o**2*s wrt s?\nAnswer: 73247*l*o + 7*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 411843*g**4 - 1 - 1 - 411838*g**4 - 20*g - g**2 in the form r*g**2 + s + h*g**4 + x*g + k*g**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 3*l**2 - 16*l - 44. Let h be q(-3). Suppose -2*i + 15 = f, 4*i = -0*i - 3*f + h. Calculate the lowest common multiple of i and 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (30\/8)\/(12\/96)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 3 = -5*j + 7, 5*j - 19 = 2*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 3 + sqrt(2299) + -5*(sqrt(2299) + -2 + sqrt(2299))**2 + ((sqrt(2299) - (3 + sqrt(2299)*-1)) + sqrt(2299))**2.\nAnswer: -25297 + 253*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-13 - -7) - 12\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 3*v - 9, 2*g = -2*g + 2*v + 6. Suppose g*k - 6*k = 0. Solve k = q + 4*w + 14, q + w = -5 - 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (15\/10)\/((-2)\/(-8)). Suppose -3*p + 3 = -i. Find the third derivative of 2*u**3 + 2*u**2 - p*u**2 - 4*u**3 wrt u.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 + 32. Let q = l + -31. What is the greatest common factor of 54 and q?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2506 = 6*r - 4*r - 3*j, -5*r = -3*j - 6265. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of 36*f**5\/5 + 3*f**4 - 5*f**3 - 3*f**2 - 3. Find t such that v(t) = 0.\nAnswer: -1\/2, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23479623.\nAnswer: 3, 2608847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 936584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1730 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38213?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 17*1\/3 + (-4)\/6. Let v be (4\/(-10))\/((-6)\/z - -2). What is the closest to 0.5 in -3\/8, v, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, n: 2}. Give prob of picking 1 n and 1 g.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16712925?\nAnswer: 3, 5, 222839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 0)*(0 + 7*n + 1 - 5*n)*(3*n + 3 - 3).\nAnswer: -18*n**2 - 9*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/9, 2, 146, 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -2, 2*q = -4*j + 27 - 3. Let r be q + -5 + 1 + 0. Suppose -p - 5*y = 7, 1 + 8 = 5*p + 3*y. Solve r = i + p*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - 20)*792\/(-432) + 46.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*r - 7*r + 6*r**2 + 11*r + 5.\nAnswer: 6*r**2 + 15*r + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 178, 228, 278, 328, 378?\n\"Answer: 50*y + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*t - 11*t + 126, -650*m + 4*t = -648*m - 0*t + 66 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/12*105\/(-56)*9\/(-1530)*12\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1238520 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**3 + 6*c**2 - 4*c - 1. Let j(l) = 3*l**3 + 11*l**2 - 7*l - 2. Let b(t) = -3*j(t) + 5*s(t). What is b(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -8. Let z = o + 6. Factor 53*u + 324 - 20*u + z*u**2 + 39*u.\nAnswer: 4*(u + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -97157, -97080, -96873, -96470, -95805, -94812, -93425?\n\"Answer: 11*c**3 - c**2 + 3*c - 97170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 4 - 2) + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 3:53 PM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 24 = -3*z, -c - 66*z + 65*z = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2*q + 2*q = -2, 0 = 4*c + q - 17. Suppose -2*z + 38 = 2*i, 62*z - 56*z - 4*i - 124 = 0. Solve c*t + 5*a = 2 + 18, a - z = -5*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 579.8845 meters?\nAnswer: 579884500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 4:33 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*j - 71*j - 2*s = -337, -j + 85 = -4*s. Suppose 31 = f - j. Is 99 at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 127921?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -4*j - 6. Let i = j - 3. Solve -14 = i*a - 6 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (80427\/459)\/19 - (-220)\/(-66)*1\/15?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 77 + -44. Calculate the highest common factor of 165 and i.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2567*b + 407760 = 388*b + 156585 for b.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - 11*n - 21. Let l be q(-9). Let w be l\/12*0 - (1 + -1). Suppose w = 5*s + 10*s - 55500. What is s rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16157, -31924, -47693, -63464, -79237?\nAnswer: -95012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, 0, 101 in decreasing order.\nAnswer: 101, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 AM and 11:21 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 6*f + 74. Let v(g) = -g - 1. Let x(u) = k(u) + 3*v(u). Let y(i) = -i - 25. Let l(n) = -4*x(n) - 11*y(n). Give l(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*h = -58*h - 2*z - 872, -4*h + 1159 = z. Calculate the greatest common divisor of h and 1595.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.5, -76, 3\/2, 128\/11?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.9? (a) -3 (b) 0.2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5404 divided by 13.\nAnswer: -5404\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 3:55 PM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + k**2 - k - 1. Let x(b) = -13*b**2 + 20*b + 15. Let s(d) = -h(d) - x(d). Is s(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 9:31 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 328*l + 1289. Determine h(-4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -101011010111011111011001 (base 2) in base 9?\nAnswer: -23346465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -11. Let p = -2 - l. Suppose 0*v + p*h = -v - 1399990, 3*h = 4*v + 5600015. Round v to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 376*w**2 - 6305*w**3 + 374*w**2 + 379*w**2 - 1128*w**2 + 6304*w**3.\nAnswer: -w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13374?\nAnswer: 2, 3, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/20*(-5)\/(-5)*4.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.134 + 0.034. Let u = -10.1 - d. Let k = u + 7.6. Sort k, 0.5, -3 in decreasing order.\nAnswer: 0.5, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 163872 and 360.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2\/45, -2\/45, -4 in descending order.\nAnswer: 3, 2\/45, -2\/45, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -192 + 190. Put r, 0.5, -15, 2\/13 in descending order.\nAnswer: 0.5, 2\/13, r, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(40)\/sqrt(4))\/(sqrt(400)\/sqrt(5)) + 4 + (5*sqrt(242)*1 - -4*(1 + sqrt(242)))**2.\nAnswer: 3165*sqrt(2)\/4 + 19622","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (4*(-1*(sqrt(10) + sqrt(10)*5))\/sqrt(2)*-4)**2.\nAnswer: 46084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -187, -149, -59, 101, 349, 703, 1181, 1801?\nAnswer: 2581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1460 by 20.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3991062 or -7982121\/2?\nAnswer: -7982121\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 80 = y. Let b be -1*(-1)\/(8\/y). Put 0.2, b, -2 in descending order.\nAnswer: b, 0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*g + 4. Let q be (g - (-5 - 0)) + 0. Find the second derivative of -7*t + t**4 + t + 2*t**4 + q*t wrt t.\nAnswer: 36*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -0.7981?\nAnswer: -1.5962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -199868585*r**3 - 87336908*r?\nAnswer: -1199211510*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.01 + 0.08. Let m = 0.3 - 0.15. Let g = 0.25 - m. Is g smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 162, -87, -3 in increasing order.\nAnswer: -87, -3, 3, 162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 100583?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 501.\nAnswer: -505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20614 + 33989. Is 25 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23790, -3, -1, 0 in increasing order.\nAnswer: -3, -1, 0, 23790","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*w - 11*w - 3*w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of 13*h**8\/336 + h**5\/6 + 11*h**2. What is the third derivative of p(w) wrt w?\nAnswer: 780*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2 and 3.350158837?\nAnswer: 3.150158837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6654 - 6625. Let w = 6 - 3. What is the biggest value in w, -5, h, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 3:59 PM?\nAnswer: 10:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 2*z + 24, 0 = -2*v + 2*z + 2*z - 16. Let k be v - -4*(0 - -1). Let w be (-1)\/k - 540\/(-16). Solve -5*s + 25 = 0, -2*n - n + 5*s = w for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 8 - 20. Suppose 2*o = -2*x - 32, -50 = j*o + o - x. Is (o - -2)\/((-3)\/4) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at most 2\/45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*i + 2548 = 47*i. Let h = 1276 + i. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100000110 (base 2) to base 9\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 5*n**2 - 61*n + 88. Give c(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0253685 to five decimal places.\nAnswer: 0.02537","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1718, 3381, 5046, 6713, 8382?\nAnswer: 10053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 167025932, 167025934, 167025936, 167025938, 167025940, 167025942?\nAnswer: 167025944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*t + 1158 = -85*t + 63*t + 5323 for t.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + j = -39, -3*j - 216 = -4*d - 179. Solve 0*f = -d*f - 10 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + -69807.\nAnswer: -69807.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*j**4 - 275*j**3 + 4397*j**2?\nAnswer: 144*j - 1650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13130 (base 6) to base 15.\nAnswer: -8d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from skfstsaaafhkhs. Give prob of picking 2 f and 1 h.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2586350.6*0.6\nAnswer: -1551810.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 43 - 33?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5226 (base 7) to base 8.\nAnswer: 3451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46269136, -46269131, -46269126, -46269121, -46269116?\nAnswer: -46269111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.19 + -0.2. Let m = v - 0.02. Let t = m + 0.53. What is the closest to -1 in t, -1\/2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1943001658 to the nearest integer?\nAnswer: 1248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 12:43 PM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 + 5*a. Let n be 5 + 2\/4*-2. Let j be s(n). Solve -2*t + 12 = j*y, -2*t + 2 = -2*y + t for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 divided by 1386455.\nAnswer: -39\/1386455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 1105*r - 56. Let z(l) = 552*l - 32. What is -4*q(v) + 7*z(v)?\nAnswer: -556*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mqqqmqdqqqqqqqmqqqqd. What is prob of sequence md?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + 103*f - 54*f - 50*f - 2. Let z(w) = -3*w**2 - 4*w - 8. Let n(r) = 4*q(r) - z(r). Let g(v) = 48*v. Calculate n(g(y)).\nAnswer: 16128*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 j when three letters picked without replacement from jjfjfjjooojojjjffoj?\nAnswer: 60\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14980878 and 11651794?\nAnswer: 104866146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -2*g**3\/3 - 1200. Let o(v) = -1075*v. Give o(p(h)).\nAnswer: 2150*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -47, -123, -187, -233, -255, -247?\n\"Answer: k**3 - 83*k + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 36325.431 and -3.\nAnswer: 36322.431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - 5*w + 4*w)*(6*w**3 - 17*w**3 - 3*w**3).\nAnswer: -28*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000022 rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 49876755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1554471926?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2. Let g be ((-15)\/(-630)*21)\/(1\/12). Let s(f) = -11*f**3 + 2*f**2. Determine g*c(d) - 3*s(d).\nAnswer: 33*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 8 = -3*g - 0, -3*a - 12 = 4*g. Suppose 50 - 18 = 8*b. Suppose -36 = -b*o - 16. Solve g*p = p + o for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 16*d - 5. Calculate r(14).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -303\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 125423?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - -4 - (5 - (-4 + -3)) - -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6523)\/242 - 71\/1562?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 2*u - 25, 4*u - 2*x - 11 - 19 = 0. Suppose -3*y = -y - u. Suppose 3*t - t = 2*h - 12, 3*h - y*t = 26. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14561808 divided by -4\nAnswer: 3640452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*o**2 - o**2 + 2*o**2)*(-3 + 5 - 3) + 5*o**2 - 5 - 60*o - 4*o**2 + 71*o in the form b*o**2 + f*o + z and give f.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from dssddzaazznndzt.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of a**8\/1176 - a**7\/735 - a**6\/84 + a**5\/210 + 2*a**4\/21 + 4*a**3\/21 + 4*a**2. Factor z(d).\nAnswer: 2*(d - 2)**2*(d + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2295364277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5398 - 3042 - 1889 = 313*o for o.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 119*13.33.\nAnswer: 1586.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 1300?\nAnswer: -1303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 5*h - 14. Let o be x(2). Let v be 9\/3 - (10 + o). Let d be (-3)\/2*(24\/(-4))\/v. Put -21, d, 4 in ascending order.\nAnswer: -21, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 4*s - 13 = 0, -5*p - 7*s = -10*s - 18 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (16*2\/64)\/((-2)\/(-156)). Solve 0 = -44*d + r*d - 10 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52*(-1683)\/14157*33\/3?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 + 2 - 4 - 1)*(3 + 14*s - 65*s + 30*s).\nAnswer: -21*s**3 + 3*s**2 + 63*s - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1223739565 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + 27\/(-6))\/((-31)\/62). Solve 3*n + 2 = -2*g, -3*n + 26 = -o*g + 4*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 75046, 98873, 122700?\n\"Answer: 23827*r + 51219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**4\/7 - 15*p**3\/7 - 144*p**2\/7 + 108*p.\nAnswer: 3*p*(p - 6)**2*(p + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1312 and 5383423.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10110011100001 (base 2) in base 16?\nAnswer: -2ce1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w - 10*w - 6 = -0*w - 3*r, 0 = 19*w - r - 54 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/30*(-2*(-8)\/(-2))\/(-10)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pvclvtt. What is prob of picking 1 p, 1 l, and 1 c?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -45, -76, -97, -108, -109, -100, -81?\n\"Answer: 5*j**2 - 46*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(90)\/sqrt(3))\/((sqrt(98) - -2*sqrt(98)) + sqrt(98)))\/(sqrt(27)\/sqrt(324) - sqrt(3) - ((sqrt(9) + sqrt(9)*3)\/sqrt(3) + sqrt(3))))**2.\nAnswer: 9\/12005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -2 (c) 1\/3 (d) 2\/3 (e) 22 (f) -0.481\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vo when two letters picked without replacement from vozngqo?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*l**4 - 66*l**3 + 396*l**2 - 312*l - 192 = 0. What is l?\nAnswer: -8, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -104.99849 - -105. Round i to 4 dps.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -305*q. Let j(o) = -981*o**2 + 1. What is r(j(s))?\nAnswer: 299205*s**2 - 305","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13.1 * -2.\nAnswer: -26.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.89489 minutes in milliseconds?\nAnswer: 1613693.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 327\/218*(-2255)\/(-66)*8\/(-10)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -4\/5 (c) 93 (d) 27.6 (e) -3 (f) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, q: 2, m: 1, r: 2, z: 2, d: 1}. Give prob of picking 2 q, 1 m, and 1 r.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.0611 + 11.\nAnswer: 13.0611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -87.5 - -87.6. What is the closest to 0 in -1, -2\/15, -9, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 152 + -150. Let a be 30\/t*33*1\/3. What is the greatest common divisor of 22 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of -p**5\/60 - 8*p**2 + 48. Let c(u) = 3*u**2 - 3*u. Determine -c(o) + 3*s(o).\nAnswer: -6*o**2 + 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5*32\/60*3\/2. Let o(p) = 6*p**2 - 2*p + 1 + 0 + 6. Let n(m) = -5*m**2 + 3*m - 6. Let s(t) = j*o(t) + 5*n(t). What is s(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 175 and 7315?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -0.3, -2\/5, 41 in increasing order.\nAnswer: -2\/5, -0.3, 3\/4, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3*f + f = 19, 5*c + 5*f = 35. Suppose -c*d + 384 = 3*r, 65 = -2*d - r + 319. What are the prime factors of d?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3*-3*(-5*(sqrt(4032)*-2)**2 + -2).\nAnswer: -725780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25948490 to the power of 1\/3, to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(28) + 4)**2 - sqrt(28)) + -1.\nAnswer: 14*sqrt(7) + 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.37 + -1.5. Let x = 0.33 + n. Let j = -5.2 + x. What is the smallest value in j, -1, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 269 = 275. Let y(a) = 2*a + 2. Let i(b) = -4*b - 5. Determine p*i(n) - 7*y(n).\nAnswer: -2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 3 = 3*z + 13, -f + 7 = -2*z. Let q be (-3)\/2*z\/3 - 8. Is 7 a factor of (3\/q)\/(-1 - 55\/(-56))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 5) + 16 + -7\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 q when two letters picked without replacement from {r: 8, j: 1, s: 5, a: 5, q: 1}.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 111081024 and 256.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pipnpnpibiiiipnpiis. Give prob of picking 1 s, 1 i, and 2 p.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than or equal to 188\/101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 992.0638mm?\nAnswer: 992063.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 990 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = v - 7. Let s be v\/(-4)*(-32)\/(-200). What is the third biggest value in 4, -4, s?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + 0)*(-3 - -2). Let h be (-21)\/9 - 2\/(-6). Let t be ((-6)\/(-4))\/((-1)\/h). Which is the closest to r? (a) -3 (b) 0.4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 - 2*u - 2. Let v be f(3). Let b = -16 - -21. Suppose -5*z + 2*g = -37, -z - b*g + v = -1. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3998, 3785, 3276, 2321, 770, -1527?\nAnswer: -4720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -630 + 629. Let i = -199 + 201. Which is the closest to -2? (a) -6\/5 (b) i (c) v (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5882 and -1.\nAnswer: -5882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -1443*o**2. Let k(z) = 2*z. Give k(b(h)).\nAnswer: -2886*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7453550 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*(-12)\/18*6\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 187240?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -5\/6 (b) 3\/4 (c) -1 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -15) + 7 - 7 - (8 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -169 + 171. Solve 2*i + 11 = -l, -q*i - i - 20 = 5*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 63 (base 7) to base 15\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 8) in base 3?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 77*q**3 - 77*q**3 - 14*q**4 + (-1 - 3 + 2)*(0*q**4 + 4*q**4 - q**4) + (-3*q**2 + q**3 + 3*q**2)*(-2*q - 3 + 3) + 3*q - 2*q - 2*q - 2*q**4.\nAnswer: -24*q**4 - q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of -v**6\/120 - v**5\/10 - v**4\/6 - 5*v**3\/6 + v**2. Let q be s(-5). Let a = -5 - q. Solve a = 3*y + 2*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3146 - 1782. Calculate the highest common factor of 44 and z.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/t**(1\/16)))\/t*t*t**(-1\/21) assuming t is positive.\nAnswer: t**(5\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 43926808213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -164 at most as big as -31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q + 2. Let o be ((-12)\/(-4))\/(0 + (-4)\/4). Let n(p) = -2*p + 4. What is o*n(t) + 7*s(t)?\nAnswer: -t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 7:20 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.3 in -0.02, -10, -13, -2\/3, -0.5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/3*-3 - -4. Suppose 0 = -5*r - 2*a + 10, -m*a = 5*r + a - 10. Differentiate -3*c**2 + 3*c**3 + 0*c**2 + 1 + 3*c**r wrt c.\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 50 (b) 10 (c) 227 (d) 4 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Is 1149199 at most 1149199?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/2001548 and 53\/20?\nAnswer: 10007740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-549)\/122)\/(2\/(-96)) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 171*f**2. Let b(v) = 4*v**2 + 4. Calculate b(h(t)).\nAnswer: 116964*t**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.6545 + 0.0455. Which is the biggest value? (a) -1.2 (b) u (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5720 and 5995?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 884 and 31076?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, m: 1, e: 2, g: 4, u: 1}. Give prob of picking 1 m and 1 u.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (1\/1)\/(3074\/212)\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 13*d + 1. Let a(k) be the second derivative of 2*k**4\/3 - 2769*k. Determine a(j(m)).\nAnswer: 1352*m**2 + 208*m + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 3:07 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -68*w + 145*w + 3388 for w.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52016 = 33*u - 52610 for u.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 26*y**2 + y. Calculate the common denominator of 55\/4 and j(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1073159*d**3 - 1120483*d**2 wrt d?\nAnswer: -6438954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, d: 3, r: 9, l: 4}. Give prob of sequence ql.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40\/3 + -38\/3. Let l = 0.5 - 0.3. Which is the closest to l? (a) -3 (b) -0.5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3673.\nAnswer: 3673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11149457 is divided by 196?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 9 - 2 = 5*a, -3*a = -m for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 - 24. Let u(y) = -9*y**3 + 6*y**2 + 2*y + 4. Suppose -4 + 19 = 5*n. Let f(z) = -1 + 2 - z**n - z**2 + 2*z**2. Calculate j*u(l) - 6*f(l).\nAnswer: -3*l**3 + 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1469*t**3*y**3 - 9*t**3*y**2 - t**3*y - 7*t**2 - 4157*y**3 wrt t?\nAnswer: -8814*y**3 - 54*y**2 - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/169344 and -5\/1176.\nAnswer: 169344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/5 + 418*m\/5 + 416\/5.\nAnswer: 2*(m + 1)*(m + 208)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6135, 12041, 17947, 23853, 29759?\n\"Answer: 5906*v + 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 5*x = -0*b + 25, 5*x = b - 25. Solve -2*a = s + s, b = -3*s for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 times 16?\nAnswer: 12.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 5*m**2 - 32*m - 227. Let u be l(-6). Is u at most as big as 74\/191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1509 + -1508.995929. What is w rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1285546 and 5897.\nAnswer: 1285546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/3, 1\/5, -6\/5, -4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 26006 divided by 26006\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -62 - 3?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28771003?\nAnswer: 47, 612149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 34. Let s = 15 + i. What is the units digit of (18\/15)\/(s\/(-180))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 253, 1697, -5.\nAnswer: -5, -3, 253, 1697","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -16*b**3 + 63*b**2 + 28*b + 26. Let j(x) = 8*x**3 - 32*x**2 - 13*x - 12. Give -13*j(y) - 6*n(y).\nAnswer: -8*y**3 + 38*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4*s = 4*i - 1, -4*s + 28 = -4*i. Suppose f - 2*f - 3 = 0. Let z be (-2)\/f + (-7)\/i. Solve z*u = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 207909738, 207909737, 207909736, 207909735, 207909734?\nAnswer: 207909733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -139 (b) 1 (c) 2\/7 (d) 0.044 (e) -24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.07 - -1.17. What is the nearest to 5 in -5, 4, s?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2475*q**2 - 12372*q - 15.\nAnswer: 3*(q - 5)*(825*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 580270115*g**5*h - 5*g*h + 6534143*h + 2 wrt g.\nAnswer: 11605402300*g**3*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 889 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -39, 7, 2, 3 in ascending order.\nAnswer: -39, -2, 2, 3, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 250279*g + 380312 with respect to g.\nAnswer: 250279","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-77)\/(-44)*4\/14?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 525\/(-48) - -11 - 15 - -15.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -17*w - 23. Suppose 0 = -r - 16 + 60. Let z = 38 - r. List the prime factors of q(z).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 0. Let l = m - -1. Suppose 17 = -2*c + 23. Solve -2*d + c*w + 0*w = -1, -3*d + 24 = l*w for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0575 + -0.1575. What is the closest to -23 in -0.3, -3, u, 1\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62228746 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 642 (base 7) in base 10?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/1)\/(((-1700)\/204)\/(-25)). Let p(r) = -7*r - 3. Let s(n) = -112*n - 49. Let w be -98*2*(-3)\/12. Give w*p(o) + y*s(o).\nAnswer: -7*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15349641?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w*w**1*w)\/(w**(1\/4)\/w*w)*(((w**3\/w*w)\/w)\/w)\/w**(2\/19))**(-1\/52))**(-48) assuming w is positive.\nAnswer: w**(1059\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3*g**3 - 12*g**2 + 5*g. Determine a(4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 5*k - 0*k + 57, -4*k + 84 = 4*n. Suppose 3*g - 11 = -h + n, -g = -5*h + 97. Solve u + 4*u = -h for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 10 = 4*p. Suppose q + 2 = -5*n + 22, 0 = -2*n + p*q + 8. Suppose 0 = c + n*c - 125. What is the remainder when c is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11553 - 0?\nAnswer: 11553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**7)**33\/(n**(-7))**(4\/15))**(-19) assuming n is positive.\nAnswer: n**(-66367\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.47 + -4.3. What is q rounded to two dps?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -236*p - 56 = -264*p. Suppose -c = -1 - 0. Let h be c\/p - 54\/(-12). Solve -12 = -h*v + 2*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -13. Let s(p) = -2*p**3 - 3*p + 40*p**2 - 6 - 138*p**2 + 35*p**2 + p**3 + 23*p**2 + 33*p**2. Calculate s(v).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h. Let u be i(2). Let j be (34\/(-4))\/(1\/u). Let z = -12 - j. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110510 to the power of 1\/2, to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by 112.\nAnswer: 9\/112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a day in minutes?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3 - 85560*o**2.\nAnswer: 3*o**2*(o - 28520)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7874260?\nAnswer: 2, 5, 393713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - 6 - (-1136)\/14) + 4. Let c = x - 81. Solve c*o**3 + 4\/7*o**2 + 0 + 4\/7*o = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.191, -5979.32, -0.1 in decreasing order.\nAnswer: 0.191, -0.1, -5979.32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 11116.\nAnswer: 22232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(-6\/13)*j))\/j*j*(j\/((j*(j\/j**3)\/j*j)\/j))\/j assuming j is positive.\nAnswer: j**(32\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 11\/4 of a millisecond?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.7047763 millennia?\nAnswer: 70.47763","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 113*q + 61*q**3 - 63*q**3 - 51*q + 1 as o + b*q + w*q**3 + i*q**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 9.4, 3, 8, 8.46 in descending order.\nAnswer: 9.4, 8.46, 8, 3, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 1\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/10 and -101\/17440?\nAnswer: 17440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -224 in -6, -1\/4, -0.4, 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/1196*-23*1\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23 - 143113332?\nAnswer: -143113305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + -1 + sqrt(175))**2 + ((sqrt(7) + 0)*-3)**2.\nAnswer: -12*sqrt(7) + 316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1299, 0.6, 500 in decreasing order.\nAnswer: 500, 0.6, -2, -1299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*o - 8532 = 66*o. Let g(l) = -l**3 + 7*l**2 - 7*l + 1. Calculate the remainder when o is divided by g(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 4, -0.1131?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 0 (b) 295 (c) -0.1 (d) 3 (e) -0.4 (f) 155\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 564 and 7764.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 134 and 1273.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 903?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -615 + -3?\nAnswer: -620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7067439.590587 - 0.1.\nAnswer: -7067439.690587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7670 - -145762\/19. Is 1 at least z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r - 4. Let f(l) = 2. Determine -4*f(i) - o(i).\nAnswer: -3*i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 + 5*h**2 - 7*h + 8. Suppose 2*n - 2 = 2*d - 0, -11 = d + n. Calculate the remainder when 25 is divided by m(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -403*g + 1. Let n(k) = 5*k**2. Determine n(d(t)).\nAnswer: 812045*t**2 - 4030*t + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1888801, 1888823, 1888879, 1888987, 1889165, 1889431, 1889803, 1890299?\n\"Answer: 3*y**3 - y**2 + 4*y + 1888795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 649, 4264, 13817, 32278, 62617?\n\"Answer: 495*y**3 - y**2 + 153*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - (16 + -3) - (-1 + -3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-5*sqrt(450))\/(-2*(sqrt(10) + (sqrt(90) - sqrt(10)) + sqrt(10))) + -1.\nAnswer: 1 + 15*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -40047, -79952, -119855, -159756?\n\"Answer: u**2 - 39908*u - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/3)\/(4\/(-18)). Suppose 2*x - 5*n = 13, 0*x + 5*n = -3*x - 18. Let o be 5 + (x - -13)\/(-4). Sort y, -5, 1, o.\nAnswer: -5, 1, o, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zebzkkfkpkbkzpkzzfpz. What is prob of sequence pkp?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 - 9*g - 10. Let j be v(-7). Let d = 1 + j. Solve d*p - 3*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -1966*v - 169. Is k(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 3*l - 20. Solve 3*k + f + l*f = 22, -f + 6 = -k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3*f**2 + 22*f - 144. Let m(i) = -26*i**2 - 175*i + 1152. Let p(d) = -51*k(d) - 6*m(d). Factor p(n).\nAnswer: 3*(n - 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/4 + 1)*22\/(-132).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 9:48 AM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 11 - -3*(-2 + 3). Let y be ((-10)\/(-4))\/((-1)\/k). Let q = -18 - y. What are the prime factors of q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b - 94*b + 54 + 381 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -47\nAnswer: 14.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 18984024.4 to the nearest one million.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9.53 - -115.43. Let g = -106 + u. Which is the second smallest value? (a) -1 (b) -3 (c) 2 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-6 + (0 - 0) + 5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(2299) + 0 + 5 - sqrt(2299))**2 + ((sqrt(1900) + 0)**2 + -2)*-5 + -3.\nAnswer: -9593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2816) - sqrt(2816)*3)*-3 - sqrt(2816)) + sqrt(2816))\/(6*(sqrt(256) + -4*sqrt(256)) + sqrt(256)).\nAnswer: -6*sqrt(11)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 + 0. Let z = -15\/4 - -47\/12. What is the second biggest value in z, -0.1, f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*j**2*r**2 - 1438*j**2*x - j*r**2*x + j*r**2 + 9903*r**2 wrt x?\nAnswer: -1438*j**2 - j*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 18852?\nAnswer: 1\/4713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 6*f**2 - 2*f - 1. Let t be r(-1). Let m be (-14)\/49 + 16\/t. What is the second derivative of 5*c**2 - c**m - c + 3*c - 2*c**2 wrt c?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (62 - 8 + 4)*(4*q**2 + 3*q - 4*q**2 + q**2) as o*q + y*q**2 + d and give y.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-49)\/(5145\/84)*((-48)\/(-72))\/((-16)\/825)?\nAnswer: 55\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -11. Suppose 0 = -6*q + 7*q - 2*s - 22, 3*s = -2*q + k. Solve q = -4*r + 4*z, 3*z + 3 = -r + 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2. Let i(g) = 782960860*g. Give i(z(b)).\nAnswer: 782960860*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of j**2 - 2 + j**2 + 0*j**2 - j**2. Let s(y) be the first derivative of -y**3 + 1. Give u(s(b)).\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65607?\nAnswer: 3, 19, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 64?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22097 + -8320. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-3*(5 + 3*3*sqrt(2)*-4 + (sqrt(72) - (-5*(1*sqrt(72) + sqrt(72)) - sqrt(72))) + 1))**2.\nAnswer: 62208*sqrt(2) + 378432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -8*5\/(-10) + 49. Let m = s - 49. Solve -3*v + o = -3*o + m, -2*v - 5*o + 28 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8849 + 8852. Which is the closest to m? (a) -0.1 (b) -0.4 (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 42637613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 113676562 to the power of 1\/3, to the nearest integer?\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*l**2 - 41*l**2 - 65*l**2 - 2*l + 18*l**2.\nAnswer: -81*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -11837 + 11869 + (1 - 27)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vmm when three letters picked without replacement from {l: 1, m: 5, p: 1, v: 4}.\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2*r - 6 = 0. Let a be 3\/(-6) - (-9)\/2. Suppose l = -2 - 3, r*l = -a*q + 15199990. Round q to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 687*i = -7950 - 41828 + 9245 for i.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/50*(-163 - -158)?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**2\/3 - 2*l\/3 - 16 = 0.\nAnswer: -6, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of 5*k**2 + 7*k + 2\/3*k**3 - 8. Let d be r(-6). Solve -2*x + 4*x + d = -5*v, -v = -4*x + 17 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 589501.9823 + -589465. Let m = o - -0.0177. Is m at most 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 49\/8566473 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**2 + 51*l - 7. Is h(-26) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 348741317?\nAnswer: 37, 2017, 4673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*n**2 + 183*n - 18659 wrt n?\nAnswer: -6*n + 183","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5305)\/7890 - 2\/(-3). Let b be (0 + 4\/22)\/(((-2080)\/(-572))\/20). Which is smaller: b or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(22)*-1*-4)\/((-6*(sqrt(99)*-2 - sqrt(99)))\/sqrt(9)) + 5.\nAnswer: 4*sqrt(2)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1689005?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(8\/3))**(-33) assuming d is positive.\nAnswer: d**55","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -u**6\/60 - 3*u**5\/20 - u**4\/6 + u**3\/6 + 5*u**2. Let h be t(-6). What is the highest common divisor of 19 and h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 2) + 5 - 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, t: 2, a: 4, j: 5, p: 1}. Give prob of picking 1 a and 1 y.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = x + 8. Let a be 1\/(-6) - (-134)\/12. Calculate the highest common factor of a and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -5*d + 7*f + 4, -3*f = -3*d - 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2 and -8881112.78.\nAnswer: -8881110.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14191 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x**4 + 132*x**3 + 356*x**2 + 312*x = 0. Calculate x.\nAnswer: -13\/4, -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1 - 455*d**5 + 5*d**4 + 152*d**2 - d**3 - d - 24*d**4 + 8*d**4 + 11*d**4 wrt d?\nAnswer: -27300*d**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 5042?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -45*d + 2 + 36*d + 0. Let t be (1 + 0)\/(-1) - 1. What is the least common multiple of 10 and k(t)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = b, -6*n + 5*n - 2*b + 5 = 0. Let p(u) = -u**3 + n + 11*u**2 - 5*u**2 - 6*u**2 + 13*u**2. Give p(13).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5829454.\nAnswer: 2, 1543, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5544 + 5552. Solve -g = 2*h + 5*z, 17*h = 22*h - 5*z + 20 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + c. Let w = -7 + 10. Suppose 4 = w*u - 4*u + 2*j, u - 11 = -j. Solve 3*t = u - c for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/(-5) + (4368\/(-49))\/13?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 6*j**2 - 102*j + 7. Let n(r) = -3*r**2 + 52*r - 4. What is -4*k(s) - 7*n(s)?\nAnswer: -3*s**2 + 44*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 4*b = -8, -22 = -133*j + 128*j + b for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -141 - -98. Let n = f + 43.00000034. What is n rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 771219?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34 + -27. Suppose -5*t + 5*v = -5, 3*t - v - l = -t. Is 4 a factor of t + -2 + 23 + 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + p = 56, s + p = -3*s + 74. Suppose -85*b - 60*b = -27*b - 40356. What is the greatest common divisor of b and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 + -16. Suppose 2*j - x = 5, -2 + 7 = r*j + 5*x. List the prime factors of (-6)\/(-15) - j\/((-30)\/2769).\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 398878.\nAnswer: 2, 53, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 272*o + 59561. What is m(-219)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x - 122 + 338 - 100 - 116.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s*s**(-1\/2)*s*s*s**(4\/3) assuming s is positive.\nAnswer: s**(29\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7567.\nAnswer: 7, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22927862?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1221 is divided by 107.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -215*v - 4699. Calculate the remainder when (-1084)\/(-18) - (-2)\/(-9) is divided by n(-22).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 603716129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1247252, -2494509, -3741766, -4989023, -6236280?\n\"Answer: -1247257*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2204?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 6*p**2 + 17*p - 3. Let n be k(-7). Let t be (-15)\/9 + n\/(-99). Solve 2*d + 4 = q, 0 = 5*q + d + 2*d + t for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 515 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 4539*v - 4554*v. Let k be (10 + -1)*(-2)\/(-6). Solve -k*o = -4*a + 14, 6 - 1 = v*a - 5*o for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 522832.\nAnswer: 2, 41, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 844651 is divided by 1474?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*x + 23363*x**3 - 23366*x**3 + 19*x.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**3 - 2*j**3 + 5*j**3)*(2*j**2 - 2*j**2 + j**2) + 0*j**3 + 3*j**5 + 0*j**3 + 8*j**5 + 25*j**3 - 25*j**3.\nAnswer: 12*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/(-2)*56\/70. Suppose 3*f - t*f + 4*n = 96, 101 = f - n. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*u - 7*u. Let n be -3*2\/12*u - -2. Is -26\/9 at most n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 + -21. Let v = c + 4. Suppose 4*o - 18 = v*y, -y = -0*o + o. Solve 0 = 2*w + 3 + o for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-59928)\/(-1135) - ((-114)\/20 - 1\/(-2) - -4)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 + 13*f + 96. Suppose -s = 4*s - 7950. Let g = s + -14327\/9. What is the common denominator of g and j(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3575*a**2 + 1051*a**4 + 2004 - 1128 + 3573*a**2 + 1879 wrt a.\nAnswer: 25224*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 + l**2 - 5*l**2)*(3049*l**2 - 573*l**3 - 3049*l**2).\nAnswer: 1146*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 divided by 145817?\nAnswer: -7\/20831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r**17*r))\/(r*r**16) assuming r is positive.\nAnswer: r**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 83 - 2. Let h = 6338 + -6329. Calculate the highest common factor of h and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1076451 - 24?\nAnswer: -1076475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-85)\/10 - -8) + 9\/(-2). Is (63\/12 + t)*716 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1625.92833 rounded to zero dps?\nAnswer: 1626","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 84*u = -85*u + 10, -u = -3*s - 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/4))**(-17))**(-3\/20)\/((j**(2\/7))**(-3\/32)*j**(2\/3)\/(j\/j**5*j*j)) assuming j is positive.\nAnswer: j**(-841\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 45 - 48. What is the fourth biggest value in -5, 3, w, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/(-28)*2\/4. Let d = 68.44 - 67. Let n = -4.44 + d. Put n, 1\/12, m in descending order.\nAnswer: 1\/12, m, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5217 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203607?\nAnswer: 3, 7541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 49\/6 of a minute?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t - 2 = -51. What is the remainder when 19 is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -570, -1156, -1742, -2328?\nAnswer: -2914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(3 - 6) - 665. Is 17 a factor of m\/(-12) + 4\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4047981 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 20673?\nAnswer: 20673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/60 and (118\/(-6) + 3)*(-2)\/32?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1573*h = y + 1577*h, 5*y - 3*h = -23 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1280\/9 + 142. What is the smallest value in 0.4, 8, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 10*h**3 + 890*h**2 + 3465*h - 4410. Let k(b) = b**3 + 81*b**2 + 315*b - 401. Let o(q) = 45*k(q) - 4*w(q). Factor o(r).\nAnswer: 5*(r - 1)*(r + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 11 + 0 + 1066235*b + 1653704*b.\nAnswer: 2719939*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + 38*k**2 + 176*k - 5523. What is x(39)?\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 3*y + 4*y - 75 = 0, 75 = 3*l - 2*y. Suppose 0 = 54*k - 47*k - 56. Calculate the remainder when l is divided by (78\/(-24))\/(0 - 2\/k).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11531339 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o - 11. Calculate j(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -75602626, -151205249, -226807872?\n\"Answer: -75602623*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 6 (b) 11 (c) 0.2 (d) 44\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -4*j**2 - 2*j - 2. Let l(s) = s + 1. Give -2*l(y) - m(y).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/135 - 16\/27. Let x(q) = -q - 4. Let v = -7 + 4. Let d be x(v). Is b <= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24171 - 11674597\/483. Is 2\/3 > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55246213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -10 + 11 + -4 + -5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 32, 212, 716, 1706, 3344, 5792, 9212?\n\"Answer: 27*f**3 - 9*f + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 - 31*p**2 - 43*p**2)*(221 - 221 + 86*p).\nAnswer: -6192*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -861 > -861?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23159 + 23207. Solve g = -856*c + 850*c for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 250614295?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 55.99999985 + -56. Round w to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -126 + 3?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 81206276 to the power of 1\/2, to the nearest integer?\nAnswer: 9011","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -928657\/30 - -30953. Find the common denominator of k and 49\/818.\nAnswer: 12270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/3)\/(832\/10408515). Let j = 8342 + i. Calculate the common denominator of -41\/36 and j.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -5\/11523 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/6880 and -47\/5160?\nAnswer: 20640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1412 (base 5) to base 7.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 18*n**2 - 14*n + 49. Calculate t(-17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 11955300 to the nearest 10000.\nAnswer: 11960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - 16*w**2 + 6*w - 89. Let i be y(16). Let t be 690\/14 - 8\/28. What is the greatest common factor of i and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -46615235*i**3 + 22*i**2 + 6*i + 4979 wrt i?\nAnswer: -279691410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m**3 - 302*m**2 - m**3 + 306*m**2 + 17*m**3.\nAnswer: 19*m**3 + 4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -159966 by 3.\nAnswer: -53322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 27*t**3 + 17*t**3 + 13*t**3 - t**3 + 0.\nAnswer: 2*t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 12\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -a896b (base 12) in base 4?\nAnswer: -312111203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18387 is divided by 2297.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (493*k**2 + 44*k**3 - 493*k**2)*(-1 + k + 1 - 1).\nAnswer: 44*k**4 - 44*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 106*l - 368 + 1534 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29514*p*y**2 + 2*p*y - 9*p + 334 with respect to y.\nAnswer: 59028*p*y + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -254 - -311. Suppose p = 8*w + 25. Solve 3*l + x - 6 = 4*l, 0 = -w*l - x - 19 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -237804*0.039\nAnswer: -9274.356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 82550, 658876, 2223196, 5269508, 10291810, 17784100, 28240376?\n\"Answer: 82333*c**3 - c**2 - 2*c + 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 1, 2\/95, 500, 0.3?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (44\/(-8))\/((6\/8)\/((-21)\/(-14)))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 10:58 AM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9225583 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 - y**2 + 26*y + 105. Let m be k(-5). Calculate the greatest common divisor of m and 390.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 67392 and 13651092?\nAnswer: 4212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v - 252 - 126 = 11*v for v.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 377551491?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1552887134 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*v + 7. Suppose 8*y = v*y + 1506. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of -9*t**6\/2 - 18*t**5\/5 + 6*t**4 + 6*t**3 + 3*t**2\/2 + 2. Solve z(k) = 0.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 + 535*t + 33 - 5 + 3 - 568*t in the form i + r*t and give i.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 242*a**3*o**2 + a**3 - a*o**4 + 724*a*o + 261815*a wrt o.\nAnswer: 484*a**3*o - 4*a*o**3 + 724*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.99 + 7. Sort t, -0.4, 0.5, 1\/5.\nAnswer: -0.4, t, 1\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 6*w**2 + 7*w - 55. Suppose -r + 477 = 473. Let z(t) = -t**2 - 2*t + 18. Let v(h) = r*u(h) + 14*z(h). What is the first derivative of v(p) wrt p?\nAnswer: 20*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 445 and -3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nl when two letters picked without replacement from ndl?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 149*q - 751. Give p(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*o - 71*o = 26 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 4*v + 2. Let i(a) = 7*a + 5. Let b(m) = 4*i(m) - 10*o(m). Suppose 3*t - 2*r - 9 = 5, 2*r + 2 = 0. Let k(n) = t*n**2 - n**2 - n**2. What is k(b(p))?\nAnswer: 288*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2873 + 2876. Sort 4, u, 8, 1 in increasing order.\nAnswer: 1, u, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 15\/28 (b) -86\/7 (c) 7 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 4*r**2 + 4. Let x be n(4). Suppose -x*h = -8 - 8. Suppose 3*u = 2*k + 24, -4*u - 4*k = -16 + h. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -238 - -191.9. Let v = k + 46. Which is the nearest to -2\/3? (a) -10 (b) -1\/5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8\/375 - 24311\/3000. Let m = 17\/24 + -17\/8. Find the common denominator of m and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6*(1\/(-3) + 0). Suppose 0 = d + 2. Suppose 1591*x - 120 = 1615*x. Sort x, d, s in increasing order.\nAnswer: x, d, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 t when two letters picked without replacement from {t: 1, r: 2, u: 3, e: 1, l: 3, f: 1}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + q + 9 = 0, 5*q = 5*f + q + 3. Is 23 a factor of (123\/f)\/((-1)\/2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 15*o**2 + 43. Calculate j(-15).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from {o: 5, w: 2, f: 2, n: 9}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -3. Suppose 2*h = 3*h + 2. Let d be m\/(-20) + h\/4. Which is smaller: d or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16192200 rounded to the nearest ten thousand?\nAnswer: 16190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/1 + -2 - 0. Let r = -293 - -295. What is the biggest value in w, r, 4, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 31*i**2*n + i*n**2*o + 5*i*n*o - 8*n**2*o - 18*n**2 wrt i?\nAnswer: 62*i*n + n**2*o + 5*n*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2076\/17 - 122. What is the third biggest value in 5, 0, i, 0.2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -0.2. Let q be (-106)\/22 + (7 - 2). Let i = 47\/77 - q. What is the nearest to -1\/4 in i, m, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4*f + 73 = 0, 2*f + 60 = 4*p + 6*f. Let x(q) = 37*q**2 - q - 1. Calculate the remainder when x(-1) is divided by p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 - -11. Let r = j + 6. Which is smaller: r or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 12 = -3*p, 823 = -5*i - p + 821 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from zzzzzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12698?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-2)*6 - 0. Which is the smallest value? (a) f (b) 1\/18 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 216 - (0 + 7 + -5). Let u = s + 49. Is u a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + 10b3?\nAnswer: 10b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 257*-1*(-2)\/2. Suppose -2*w + 138 = -2*t, 2*t + 55 = -3*w + o. Let x = w + -42. Is x a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(9\/(-54)*-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + 0\/7 + (102 - -1). Suppose -r = -9*a + 30. Calculate the highest common factor of 75 and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -318 - -58. Let m = -141 - g. Is m a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3 and 59624.4.\nAnswer: 59621.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/8, -65\/8, 4 in descending order.\nAnswer: 4, 5\/8, -65\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1308989536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + -1 + 2 + sqrt(180) + -1)*-5)**2.\nAnswer: 1500*sqrt(5) + 5125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -51, -70, -87, -102, -115, -126?\n\"Answer: j**2 - 22*j - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1b23 + 1?\nAnswer: 1b24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103339 is divided by 9394.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*o + 5*o. Is 4 a factor of -5*(-2 + o + -4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200212 + 12?\nAnswer: -200200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 70857757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) + -3 - sqrt(3)) + 2 - ((sqrt(3)*-1 + 0)**2 - sqrt(3)))*-5.\nAnswer: -5*sqrt(3) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12742458 is divided by 1466.\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3644 - 3440 = -17*s for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1327816.3 rounded to the nearest 1000?\nAnswer: -1328000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -3*v - 2504. List the prime factors of v.\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -120 - -119.6. Let w = -0.6 + g. Is -1 at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1657482 is divided by 510?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -327, -580, -833?\nAnswer: -1086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 29\/2 of a kilogram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -9*b**2 + 7*b - 21. Let l(q) = 9*q - 207*q**2 + 1 + 202*q**2 - 5*q - 12. Calculate 7*l(y) - 4*v(y).\nAnswer: y**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g. Let h(f) = -2*f**2. Determine o(h(l)).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5015380 divided by -5015380\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33 + 33. Let d(p) be the third derivative of -1\/480*p**6 + 0*p**5 - 2*p**2 + 0*p**3 + 0*p + 1\/96*p**4 + l. Determine j, given that d(j) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54694*k - 66036*k + 1463*k + 16969*k.\nAnswer: -102298*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, -13, 19, -3, 2, 1 in decreasing order.\nAnswer: 45, 19, 2, 1, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/((-6)\/2 - -2). Suppose -u*p + 4 = -2*p. Solve -3 = m - 0*t + p*t, 4*m - 4*t = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = -30*b + 19*b. Let i be -5 - ((-587)\/b + 10\/45). What is the highest common divisor of i and 220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (180\/(-55))\/(2\/3). Let x = 259\/55 + o. Is x greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 441ab (base 13) to base 3\nAnswer: 20021012020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -6 + 18 - 12 - 6*a**2. Let m(o) = 2*o**2 + 3*o**2 - 6*o**2. Determine s(m(z)).\nAnswer: -6*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + 0)*((-15)\/(-5))\/3. Suppose 1 - 9*j**3 + 5*j**2 - 2*j**2 - 3*j + 8*j**3 + q*j**2 = 0. Calculate j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 597 + -594. Let k(m) = -6*m**2 - 3*m + 4. Let b(v) = 10*v + 3*v + 5*v**2 - 3 - 11*v. Calculate c*k(h) + 4*b(h).\nAnswer: 2*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 291661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 AM and 11:56 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*b**3 - 85*b**3 - 21*b**3 + 23*b**3 + 22*b**3 + 42*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4*q - 32 = -0*q, -6*j = -2*q - 62. Let c(y) = 3*y - 9. What is c(j)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 167 (b) 1\/4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000792946 rounded to 5 dps?\nAnswer: 0.00079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 388850328 to the power of 1\/4, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133 - 2*d + 197 + 36 + 140.\nAnswer: -2*d + 506","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + c - 24 = 0, -670 = 29*z + 1905*c - 952*c - 956*c for z.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3*d - 25 = 0. Suppose -36 = -8*i + d*i. Solve 0*v - j = 4*v - i, 3*v - 3*j = 24 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 7:54 PM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -9541370 rounded to the nearest 100000?\nAnswer: -9500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -17*l**2 - 1767*l + 91691. Give h(38).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + 4\/(-10) + 2\/5. Solve -g = y + 1 + k, 3*y - 4*g - 5 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y = 4*y - 30. Let g be (8\/y)\/(16\/(-24)). Let d be ((-2)\/3)\/(2\/(-12)). Solve 4 = -d*a + g*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(96\/72*18\/8). Solve 12*p - 20 = 16*p, b - p - 4 = a for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**2\/5 - 5284*u\/5 + 519984\/5.\nAnswer: -4*(u - 92)*(u + 1413)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.11 * -1951941.\nAnswer: -214713.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 661 - 658. What is the third derivative of 2*r**3 + 4*r**n + 28*r**2 + 28*r**2 - 4*r**3 + 7*r**4 + 2*r**4 wrt r?\nAnswer: 216*r + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = 6, -7*h + 3*k - 29 = -2*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 20334, 21117, 21900, 22683, 23466, 24249?\n\"Answer: 783*h + 19551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**16*r*r**(1\/57) assuming r is positive.\nAnswer: r**(970\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + s + 9, -i + 4*i = -4*s + 48. Calculate the remainder when (-125)\/(-4) + (-3)\/i is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 103\/3 + -34. Find x such that -1\/3 + 2\/3*x - b*x**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (2 - (4 + -11 + 13)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2225348?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 82255\/1924 + 2\/(-8). Let u = q - 1\/481. Find the common denominator of 28\/((-672)\/(-10))*(-9)\/(-30) and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25890 times -263?\nAnswer: -6809070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2483\/12 - -620\/3. Is r smaller than 209\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-3)*0\/(-7). Suppose -c + 42 = 2*a, 0 = 2*c - u + 4. What are the prime factors of a?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 - 9*g - 8. Give u(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 9:03 PM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1409696 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2766533\/(-7315))\/((-186)\/30).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29009 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (84\/(-15))\/(5\/(-25)). What is the highest common divisor of 7 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -1\/7, 154781, -6, 4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kjkj when four letters picked without replacement from {j: 8, k: 3}.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/10 - 294\/(-70). Which is the smallest value? (a) -2 (b) -4\/3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 11. Let y be 1*2*q\/(-2). What is the third smallest value in -0.2, 2\/3, y?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from mhssmmhmomshmm?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 - -149. Let n be -8*(-24)\/v*56\/(-6). Is -59\/4 greater than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -55 + 57. Let m = 2229\/1028 + 21\/257. Let -m + 3\/4*l**i + 3\/2*l = 0. Calculate l.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6\/5 + -32\/35. Is 140 smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 202 divide 7731752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 287447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -111 + 111. Suppose n = 484*v - 480*v + 396. Does v = -97?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/104 and (947380\/2880)\/67 - (2 - -3).\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 6, t: 2, i: 4, k: 1, g: 2, q: 2}. What is prob of sequence tyki?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2040*m - 38757. Calculate a(19).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -116539\/21 or -5548?\nAnswer: -116539\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.6 + -1.6. What is the nearest to r in 0.5, -1.9, 0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76346 is divided by 7347?\nAnswer: 2876","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((1*sqrt(180) - sqrt(180) - sqrt(40)\/sqrt(2)*-3)\/(sqrt(4) + sqrt(144)*1 + sqrt(144) + sqrt(144) - (-1*sqrt(16)\/sqrt(4) - sqrt(4)))*-5)**2.\nAnswer: 27\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -4079606 < 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -16\/3*g**3 + 7 - 18*g**2 - 8*g. Find x, given that q(x) = 0.\nAnswer: -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -382, -1578, -3542, -6274, -9774, -14042, -19078?\n\"Answer: -384*c**2 - 44*c + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2009\/4*q - 1\/4*q**3 + 1681 + 43\/2*q**2.\nAnswer: -(q - 41)**2*(q - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 7:39 AM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of -b**7\/42 + b**6\/15 + b**5 - 5*b**4\/2 - 33*b**3\/2 + 54*b**2 + 2145*b. Suppose j(u) = 0. Calculate u.\nAnswer: -3, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 4364?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 6.08994g?\nAnswer: 0.00000608994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -61 (b) -1\/7 (c) 2\/5 (d) 4 (e) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-21)\/(-2)*-2 + 1)\/((-24)\/6). Let q(h) = -h - 5. Let n be q(0). Sort n, r, 28 in decreasing order.\nAnswer: 28, r, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 90.7 + -90.5. Which is the second smallest value? (a) -3 (b) 3 (c) k (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19308548 is divided by 8428.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 171416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.2, -707, 11\/2, 299?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.4 in 5, 3, 3\/8, 4?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 31 = 3*r + 2*r, -5*h - 25 = 5*r. Let q(n) = 3*n**2 + 5*n + 12. Does 26 divide q(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) 11 (c) -9 (d) 4 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 186*t**2 - 18*t - 7. Let r be l(-3). Let j = r + -372. What are the prime factors of j?\nAnswer: 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of -r**9\/7560 - r**8\/1120 - r**7\/420 - r**6\/360 + r**4\/24 - 5*r**2. Let c(k) be the second derivative of b(k). Factor c(j).\nAnswer: -2*j*(j + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/(-6)*3\/6. Let l = 5 - u. Is 214 + -2 + l + -5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - (-11 - (-17 - (-12 + 2)))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2*y - 17 = 0, 3*c + 3*y - 17 = -5. Suppose 4*o - 2*r + 3*r - 646 = 0, c*o - 803 = r. What are the prime factors of o?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93304904 to the power of 1\/2, to the nearest integer?\nAnswer: 9659","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -5*k**2 - 3. Let t be (-528)\/90 + (124\/(-30) - -4). Let s(j) = -j**2. Determine t*s(q) + w(q).\nAnswer: q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -148, -178, -198, -208, -208, -198, -178?\n\"Answer: 5*w**2 - 45*w - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 735, 1477, 2219?\nAnswer: 2961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*l**3 - 2*l**2 + 0*l**2 + 2*l**2.\nAnswer: 13*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-6)*z)\/(z\/z**(-1\/4)))\/((z**(-13)\/z*z)\/(z**(1\/11)\/z)))**(3\/37) assuming z is positive.\nAnswer: z**(771\/1628)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 20.7, -1\/6, -2\/3, -11 in descending order.\nAnswer: 20.7, 4, -1\/6, -2\/3, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -426*q**2*x**3 - 236*q*x**3 + x**3 + 74554*x wrt q.\nAnswer: -852*q*x**3 - 236*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 56323079 to the nearest integer?\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/10 (b) -0.4991 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -6047542 greater than -6047541?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - c**2 - 1. Let j be 2*45\/(-4)*-2. Let r = 43 - j. Let m(t) = 3*t**3 + 4*t**2 + 1. Calculate r*z(k) - m(k).\nAnswer: -k**3 - 2*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 3*p + 98, 5*p + 84 + 36 = 5*g. Calculate the remainder when 441 is divided by g.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwcaaaacu. Give prob of sequence wucu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5*(-3)\/(-3) + 2. Let d be (p - (-2 + 1))*1. Let i(t) = -9*t - 3. Is i(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 a factor of 14848530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**4\/5 - 742*a**3\/5 - 44496*a**2 - 17511552*a\/5 - 438193152\/5.\nAnswer: 2*(a - 587)*(a + 72)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h - 229 + 229.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1607666989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*y + 4898*y**2 + 13*y - 2457*y**2 + 19*y - 50*y - 2442*y**2.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8 - 1 - (0 - -4). Suppose -415 = -f - 2*b, 5*b + 1113 = u*f - 88. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of 0 + 1\/12*t**4 - 1\/2*t**2 - 2*t - 1\/3*t**3. Is q(-3) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1009848050?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 6*q - 0. Suppose -882 = -v - q*v. Is 19 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 4*h + 48, -8*k + 13*k = h - 63. What is the remainder when 47 is divided by (6\/k)\/(2 + 105\/(-52))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127 - 128 + 252 - 116 + 242 - 10*m - 123.\nAnswer: -10*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -1 + ((-41 - 4) + -3 - (8 - 9)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/3)\/(3\/(-2)*8\/(-6))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 9.5. Let w = 0.3 - p. Let d = w - 0. Which is the biggest value? (a) d (b) -1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -481*w**4 - 3*w**3 - 9*w**2 - w + 2 wrt w?\nAnswer: -11544*w - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1254266 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -3. Let r(y) = 3*y + 4. Let b be r(j). Let u = b + 10. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((1*sqrt(11))**2 - sqrt(11))*1*-3*1.\nAnswer: -6*sqrt(11) + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of 46*z**5\/5 - 6*z + 22. Differentiate b(q) wrt q.\nAnswer: 184*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 greater than or equal to -1222?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3*l**2 + l. Let z be f(1). Suppose 16 = -3*u + z. What is the smallest common multiple of (-2 - -20)*(-2)\/u and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 94208 and 125088?\nAnswer: 368259072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -29*g**3 - 1489*g**2 + 1137*g - 136080364 with respect to g.\nAnswer: -87*g**2 - 2978*g + 1137","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 640 and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 - 14*z + 95. Let u be h(5). Suppose u = 6*j + 5*j - 44. Let s(g) = -1 - 5*g - g - 3*g**2 + 5 + 4*g**2. What is s(j)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*t + 189 = -11*t for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -69*o**2 - 138*o + 138. Let h(s) = 1542*s + 1 + 1189*s - 2732*s. What is -138*h(n) + p(n)?\nAnswer: -69*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n + 40*n + 93*n + 3627 = 0. Let m(y) = -y**2 - 35*y - 115. Determine m(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, 0, 175 in ascending order.\nAnswer: 0, 2, 3, 175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -5*r**3\/3 + 76239835*r**2\/3 - 290625736401080*r\/3 + 290625507681620 = 0.\nAnswer: 3, 7623982","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 0*y + 4*f + 13 = 0, 3*y + 2*f = -3. Let n be 15\/6 - y\/2. Let c be 4 - -2 - n - 1. Solve -5*q = u - 30, 0 = -0*q + c*q - 15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 + 35*u**2 - 35*u + 24. Give t(34).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 967 + -965. What is k in 3\/2*k**t + 3\/2*k**3 - 3\/2*k**4 - 3\/2*k + 0 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000101110010011010001 (base 2) in base 4?\nAnswer: 20232103101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.15850567814 + 4.\nAnswer: 4.15850567814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o\/o**(2\/15))\/o)*o)\/o**(2\/5)*((o*o**(-3\/4))\/o)\/((o*o\/o**(-3))\/o))**(-1\/10) assuming o is positive.\nAnswer: o**(181\/600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/9)\/(4\/(-684)). Let v = -18 + q. What is the first derivative of -5*d + 3 - 2*d - v wrt d?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 1478*x - 1547480. Give b(1047).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6980 + 1024. What is the thousands digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -3 - 2) + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2530341 - 12103?\nAnswer: -2542444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -6243706 (base 8) to base 13\nAnswer: -460152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**9*w**(4\/17)*w**19\/((w\/(w\/(w\/(w\/(w**(2\/21)\/w)))))\/w) assuming w is positive.\nAnswer: w**(10760\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -22296*-0.1137\nAnswer: 2535.0552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -69 + 72. Let r be (-20)\/8 + (-2)\/4. Let i be 2 + 5\/r + 0. What is the biggest value in i, -2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373544 (base 13) in base 12?\nAnswer: 538782","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6\/5 of a micrometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -368*n - 20 = -373*n - x, -8*n = 4*x - 56 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 839 + -840. Which is the biggest value? (a) h (b) 2\/13 (c) 162 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/(-4)*-11)\/(1\/(-148)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = a + 2*y, -4*a - 224*y + 64 = -221*y. What is the highest common divisor of a and 124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 95134423, 190268846, 285403269?\n\"Answer: 95134423*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*d**2 + 11*d**2 + 11 + 3 as y*d + u*d**2 + g and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -4*i + 5. Give w(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2. Let l(k) = -967*k**2 - 3485*k. Calculate l(h(t)).\nAnswer: -967*t**4 - 3485*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -65 + -fe7?\nAnswer: -104c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 17266.3063 rounded to the nearest 100?\nAnswer: 17300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 2452.96 to zero dps.\nAnswer: 2453","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 77.5 - -3.5. Let o = q + -82. Let x(i) = -i**3 + 15*i**2 + 15*i + 19. Let d be x(16). Which is the nearest to o? (a) d (b) 2\/3 (c) 0.038\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1477 and 1266.\nAnswer: 8862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 + g + 5. Calculate m(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 31, 49, 87, 151, 247?\nAnswer: 381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 108\/19*(-4)\/(-12) + -2. Let w = 742 + -20032\/27. Which is the second smallest value? (a) m (b) 1\/15 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**4 - 145930*y**3 + 1064486345*y**2 + 4259696700*y + 4260280500.\nAnswer: 5*(y - 14595)**2*(y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 8*j + 7*j - 67, -5*j = -4*f - 241. Is -61 > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (51 - (3 + -7) - 3) + (166 - 165)\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 7:21 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ypb. Give prob of sequence yp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert e3b49 (base 16) to base 11.\nAnswer: 587812","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (123*n + 268 + 256 - 128*n - 685)*(0*n + 0*n - n).\nAnswer: 5*n**2 + 161*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 749 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 >= -0.024?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*-2*sqrt(95) + (sqrt(95) - -2*sqrt(95)*-3))\/((sqrt(400)*1)\/(sqrt(45)\/sqrt(36))))**2.\nAnswer: 475\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from -250038.\nAnswer: -250036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 264 (base 7) to base 5\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of d**7\/2520 + d**6\/180 - 7*d**5\/360 - 4*d**3 - 10. Let z(s) be the third derivative of x(s). What is i in z(i) = 0?\nAnswer: -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 475?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 2*x + 6 = 0, -2*x - 7 + 5 = 3*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in twenty-five halves of a millisecond?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 33*c**2 - 20*c + 54. Let s be r(10). Which is bigger: s or -2443?\nAnswer: -2443","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g + 34. Let n be r(-17). Let z = n + -2. Let w be (z + 5)*((-28)\/12 - -2). Let b(v) = -5*v - 1. Determine b(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 4*a**2 + 18*a - 49. Is 21 a factor of z(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1913 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12709690 - 25817236. Let l = -7107546 - h. What is l rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 j when two letters picked without replacement from hkkkkkkkkhhjkkkkjjk.\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 4*n**2 - 9*n + 5. Let m(s) = s**2 - 2*s + 1. Let r(v) = -18*m(v) + 4*u(v). Let r(x) = 0. Calculate x.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a (base 14) in base 16?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1340795 to 2 decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 - 2317*n - 146384. What is s(-65)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o = 18*o - 6*o + 96. Sort -3, -4, 5, o in increasing order.\nAnswer: o, -4, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**3 + 0*o**3 - 5*o**3)*(-3 + 3 + 1) + 868*o + 97*o**3 - 868*o.\nAnswer: 94*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*t - 4 = 17*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - v + 4232 = 0. Suppose -4*l + 0*l - 4160 = -4*g, -5*l + v = g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 - 18*f - 9. Calculate x(-15).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -504*k**3 - 27*k - 5229 + 5229 + 46*k - 22*k to the form l + i*k + f*k**2 + m*k**3 and give m.\nAnswer: -504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*x - 42201 - 7*x + 42201 + 14*x - 6*x + 4*x.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 662 is divided by 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 138735313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*d**2*f**4 - 99*d**2*f**3 + 48*d**2*f**2 - 2319*f**3 + 59888*f**2 - 4*f + 3 wrt f.\nAnswer: 264*d**2*f - 594*d**2 - 13914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2, -20, -34, -44, -50, -52?\n\"Answer: 2*b**2 - 24*b + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of 7*f**4\/24 - f**3\/6 - 10*f**2 - 122. Let u(x) be the second derivative of w(x). Let v(j) = -j**2. What is v(u(k))?\nAnswer: -49*k**2 + 14*k - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 178714682 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 282 and 1286484?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2. Let k(v) = 261*v**2 - 2*v - 2. Let a(m) = -103615*m**2 + 795*m + 795. Let h(j) = -2*a(j) - 795*k(j). Determine h(z(i)).\nAnswer: -265*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 + 41 + -13 + -51?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**4 - r**3 - 13*r**2. Let f(h) = 1235*h**4 + 11*h**3 + 78*h**2 + 5823*h. Let w(i) = f(i) + 6*p(i). What is the second derivative of w(t) wrt t?\nAnswer: 14964*t**2 + 30*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 4*z - 8. Let g be o(6). Suppose -6 = -a + g. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-32)\/(-15) - (2 + 0). Which is the closest to 0? (a) 5\/3 (b) -1\/2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*v - 3079 = -5712 + 3075 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -103505465 less than 7?\nAnswer: 103505472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-32)\/28*(-42)\/12 - -3002?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of 26*t**6\/3 + t**3\/3 + 286*t - 237. Find the third derivative of d(p) wrt p.\nAnswer: 3120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t + 7. Let q(o) = o**2 - 3*o + 2. Let x(b) = -2*b**2 + 5*b - 5. Let r(m) = -5*q(m) - 2*x(m). Let z be r(5). What are the prime factors of g(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-1)*-8 + (4 - 4). Suppose 4*z - q - 2791 = 0, -4*q + 3470 = 5*z - 9*q. Let y = z + n. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 1382 + 1385 = -o, 2*o = -5*c - 6 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 8*q**2 + 10*q - 1. Let y(g) = -g**3 - 7*g**2 - 8*g. Let w(u) = -3*y(u) - 2*z(u). Give w(-5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2118.92 and -2896422993.\nAnswer: -2896420874.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/22910 and -73\/580.\nAnswer: 45820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*g**2 - 35*g + 222*g**2 - 62*g**2 + 24*g + 10*g.\nAnswer: 218*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hxxxuxh. Give prob of sequence hx.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*b - 0. Let p = -23 + -6. Let i = -26 - p. Is b bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (100\/25*(-2)\/20)\/((-84)\/(-15))\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1605 - -1607. Let z(t) be the first derivative of 2*t**2 - r*t - 5\/3*t**3 + 4. Determine z(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -7. Let j = 1691.404 + 6.096. Let v = j - 1696. Is i smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 743, 3067, 6961, 12443, 19531, 28243?\n\"Answer: 3*d**3 + 767*d**2 + 2*d - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1.1*-28125.4\nAnswer: -30937.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 706882254 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 40*v**3 - 2*v**2 - v - 4. Let t(x) = 40*x**3 - 2*x**2 - 5. Let q(o) = 4*t(o) - 5*z(o). Find the third derivative of q(w) wrt w.\nAnswer: -240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 736576?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1094.11, -1\/2, -3\/11?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -541 = -3*s + 401. Let k = s + -161. Let f = -109 + k. What are the prime factors of f?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -667 - -663. What is the biggest value in -2, -3\/5, -5\/9, w?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1976 + -1079. Is f a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and 363407352669315?\nAnswer: 363407352669313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -94 - -96. Let m be (-62)\/(-12) + h\/(-12). What is the greatest common factor of 40 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 239600547?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (26 - (-12 - -46)) + 22\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lilduludlulhc. Give prob of picking 2 d.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t + 30. Let y(d) = -4*d - 28. Suppose 3*k - 5 = 13. Let p(x) = k*y(x) + 5*j(x). Differentiate p(o) wrt o.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 77 (c) 114.0668\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 AM and 10:51 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 11*x**2 - x + 13. Let l be v(11). Solve -w - l = 2 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1420970 is divided by 322.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1321 a factor of 398297352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 3:37 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-165)*189\/126.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/9 + 40*n**2\/9 + 5722*n\/9 - 640.\nAnswer: -2*(n - 64)*(n - 1)*(n + 45)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2 = -8. Let t be (-3 + p + 1)\/1. Suppose -w = -t - 1. Solve w*v + 2*v - 16 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -289539\/10 - -57915\/2. Let -g - 8\/5*c**3 - 2\/5*c**4 + 24\/5*c + 4\/5*c**2 = 0. What is c?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 23, -4, -47.3, -1.7?\nAnswer: -47.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffjfyvfyv. Give prob of sequence fyf.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12021010 + 20?\nAnswer: 12021100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f + 88. What are the prime factors of l(0)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*j**3 - 3*j**3 + 0*j**3 + 50 + 9*j**2 - 54 as k*j + h*j**2 + w + q*j**3 and give h.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7604088 + -339622.\nAnswer: -7943710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 0. Does 5 divide (-122)\/(-12) + m\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from epee. Give prob of sequence ep.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 67.304556.\nAnswer: -336.52278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 278*y + 5898 = -2442 for y.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 110.9999646 - 111. What is m rounded to 6 decimal places?\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*p + 17. Let o(s) = s**2 + s + 1. Let k(r) = -2*r**2 - 4*r - 4. Let b(c) = p*o(c) + k(c). Let j(d) = 14*d + 2. What is b(j(z))?\nAnswer: 392*z**2 + 112*z + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 910957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -52 + 75. Let q be 28 + (-17 + 242)\/(-9). Solve 0 = -2*w - q*z, -4*w = -9*w + 4*z + n for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 PM and 8:52 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1136671?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 8. Let w be 2*6\/n + 8 - 0. Solve 2*q - 2*j - j - 19 = 0, -3*q - w*j = 19 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 155887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + 21 + -11 + 18 - (0 + -5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-8))**(-11\/6)\/(w**16\/((w*w**(-15\/8)*w)\/w)) assuming w is positive.\nAnswer: w**(-97\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -9*s**2 - 13*s - 7. Let m(h) = 5*h**2 + 7*h + 4. Suppose -40*u = -39*u - 4, -4*d - 64 = -5*u. What is d*m(g) - 6*f(g)?\nAnswer: -g**2 + g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 88407?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -16*l - 80. Let i be y(-7). Suppose 4*n - 24 = i. Solve 0 = -9*s + 4 + n for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -526*a = -499*a - 135 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 2:22 PM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, p: 5}. What is prob of picking 2 r?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23*m**4 - 15*m**4 - 15*m**4 - 83*m**4 + (-3 + 3 + 5*m)*(2*m**3 - m**3 - 3*m**3).\nAnswer: -100*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -996480 rounded to the nearest one thousand?\nAnswer: -996000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 81156313 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3154 - -0.2891. Round t to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 y, and 2 c when four letters picked without replacement from rwrpyyycrrwcrwc.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 10 = 2*o, 5*d + 5 + 20 = 5*o. Which is smaller: 29\/7 or o?\nAnswer: 29\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22927 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - 11*i - 5. Let v be g(-10). Let a(x) = 29*x + 1. What is the hundreds digit of a(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*b + 406 + 34 = 0 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (55\/15 - 3) + (-1)\/(-3). Let g be -1*h\/(1\/(-2)). Factor -2*a**2 + 10*a**2 + 0*a - 4*a - 6*a**2 + g.\nAnswer: 2*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 4*s. Suppose s = a - 3*a + 36. Let p = a + -10. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 5*j + 46, 17*j - 16*j = -8. Solve -r + 5*a + 71 = 67, 2*a = -c*r - 5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-2\/21)*(d**(-1\/5)*d*d)\/d)\/(d**5*d**(-3))*(d**(-3)\/d*d**(1\/3))**(-13) assuming d is positive.\nAnswer: d**(4994\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -283*g + 16. Let z(k) = 95*k - 6. Determine -3*v(i) - 8*z(i).\nAnswer: 89*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21691 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 c = -14 - -13.6. Let r be ((-4)\/(-190))\/(17\/(7 + 78)). Let x = 0.35 + -0.05. Sort c, x, r in ascending order.\nAnswer: c, r, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -k**2*s**3 - 21808*k*s**3 - 1007203*s**3 wrt k.\nAnswer: -2*k*s**3 - 21808*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.83 - 0.03. Let t = 0.5 - n. Let i = 2 + 0. Is i at most t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 36904*i**6 + 3*i**4 + 21*i**3 - 251319018*i**2.\nAnswer: 4428480*i**3 + 72*i + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 200*g - 13283. Let r(j) = 143*j - 8855. What is 5*k(w) - 7*r(w)?\nAnswer: -w - 4430","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 214 a factor of 44726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 5*a**5 + 2*a**4 + 3*a**3 - 10*a**2 + 2*a + 6. Let s(y) = y**5 - y**2 + y + 1. Let r(v) = -q(v) + 6*s(v). Let r(j) = 0. Calculate j.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -8*c - 6. Let t = -16681 + 16686. Let i(u) = -5*u + 1 - 2 + 4*u. Give t*i(d) - g(d).\nAnswer: 3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from kkkkkkkiikkiik?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 11:04 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -11*p**2 + 2*p + 3. Let w be c(-2). Let g = w + 81. Suppose 5*s = g - 1. Calculate the remainder when 19 is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-9)\/2)\/((-24)\/(-32)). Let b(q) = q + 3. Let m(o) = o + 3. Let w(n) = c*b(n) + 5*m(n). What is the first derivative of w(r) wrt r?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50)\/20*185638\/4595?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9315 times 8?\nAnswer: 74520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - 2*p**2 + 2*p + 2. Let v = -6 + 9. Suppose -v + 28 = 5*t. Suppose -t*d + 2*n = -18, 14 = -d + 6*d - n. Calculate o(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 53960 - 2?\nAnswer: 5395a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 227, 451, 673, 893, 1111, 1327?\nAnswer: 1541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = v - 11, 2*v + 2*g = -4 + 2. Let p(x) = x - 2 + 5*x**3 - 3*x**2 + 6*x**3 - 4*x**v. Is 15 a factor of p(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1283968?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/14)\/(9\/(-21)). Suppose 0 = 5*p + 5 - 0. Let m = -4 - p. Which is the second biggest value? (a) -0.3 (b) j (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -241, -480, -717, -952, -1185, -1416?\n\"Answer: b**2 - 242*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 31 - 1116*56\/1008\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 10.7.\nAnswer: 5.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -589*t**2 + 1 - 71*t**3 - 1.\nAnswer: -71*t**3 - 589*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/50 and 66\/7225?\nAnswer: 14450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y - 7. Suppose 0 = -b + 177 - 18. Let p = 228 - b. Let m = p + -75. Determine w(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4057288655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(12)\/((sqrt(16) - sqrt(4))*-3))*-2.\nAnswer: 2*sqrt(3)\/3 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -3*v - 1 - 15, 0 = -4*v + 2*b - 8. Suppose 2*k - 10 - 276 = v. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(1*sqrt(6)\/sqrt(3)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/873 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35 - 21. Is j greater than 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 7286.\nAnswer: 65574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**4 + 33*f**3 - 218*f**2 - 900*f - 648.\nAnswer: -(f - 18)**2*(f + 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1885 divided by 1\nAnswer: -1885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 - 116*y - 5448. Calculate h(151).\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 12*d**2 - 7*d + 10. Suppose 2*h = -w + 1, 4*h + 1 = -5*w + 12. Is m(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(0 + sqrt(7)) - (sqrt(7) - (sqrt(700) + 1 + sqrt(700))))**2*-3.\nAnswer: -4119 - 84*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -524.943 plus 1895796?\nAnswer: 1895271.057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 0, -83, -168, -255, -344, -435?\n\"Answer: -z**2 - 80*z + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 170 and 145430?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3990, -10513, -22066, -41163, -70318?\n\"Answer: -419*j**3 - j**2 - 3587*j + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 2 + 7. Let a(l) = f*l + 2*l - 1 + 5*l - 4*l. Let j(h) = h - 6. Let u be j(7). Calculate a(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -432 = 76*a + 24. Put 6, a, 1, -4, -5 in ascending order.\nAnswer: a, -5, -4, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 1. Let r(s) = -s**2 - 5*s + 5. Let p be r(-6). Let q be p*(1 + 0)*-1. Let v(h) = h**2 + 4. Determine q*v(w) - 4*m(w).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -161\/3075266?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 2:14 AM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-28) + 66868\/28. Calculate the greatest common factor of d and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, -60\/7, -41, 3\/2 in ascending order.\nAnswer: -41, -60\/7, 2\/13, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2 + 7*f - 3*f**2 + 3*f**2 - f.\nAnswer: -3*f*(f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25341?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7661, 12135, 19593, 30035, 43461, 59871?\n\"Answer: 1492*c**2 - 2*c + 6171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1923198501 a multiple of 147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*z**4\/3 + 85*z**3 - 340*z**2\/3 + 20*z + 80\/3 = 0 for z.\nAnswer: -4\/11, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -57*o**2 + 106*o - 107. Determine b(1).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4*a + 6 = 2*a, -2*a + 4 = 0. Suppose -247 = -5*j + 4*n, h*j + 98 = -4*n + 361. Let d = 162 - j. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 6 = 3*s. Solve 0 = -s*l, -2*g - 5*l = -0 + 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of j**3\/2 + j**2\/2 - 743*j - 2. Suppose 3*c - 2 = 3*y + 1, 3*c = -5*y + 3. Give g(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of w**3 - 3*w**2\/2 - 2*w - 1. Let c be u(-2). Let g = 22391 + -22375. Calculate the highest common factor of c and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31623*q + 99*q**2 + 31659*q - 95*q**2 - 63282*q.\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f\/((f**(-7)*f)\/f)*f)*f**(-1\/4))\/(f**0)**(14\/11) assuming f is positive.\nAnswer: f**(-37\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**2 + 8*p + 101. Is s(0) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -364 = -3*w + 4*t, 0 = 2*t + t + 12. Suppose -44 = 2*c - w. Solve 3*m - c + 4 = -5*a, 4 = 2*a - m for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -154 + 50135?\nAnswer: 48871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence df when two letters picked without replacement from {l: 4, d: 2, f: 1, c: 1, v: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3240 is divided by 1616?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 4*t**2. Let j(u) be the first derivative of 13*u**3\/3 + 94. Calculate j(g(p)).\nAnswer: 208*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 15000 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5480 is divided by 98?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -11036*r - 110356. Determine d(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -107 - -117. Suppose -25*d + p*d = -915. What is the highest common divisor of 427 and d?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -5*l + 30, 3*l - 2*o + 10 = 44. Which is the nearest to l? (a) 4\/7 (b) 0.02 (c) 2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 29 = -3*s, 0*k = -5*k + s + 92. Suppose 0 = 2*l - t + k, -12 = l - 5*t + 2. Are l and -7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*s + 5*s + 96. Suppose s = -3*o, 6*z - 4*z = 5*o + 490. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -32*r - 106. Give g(-4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9508*g**3 + 2 + 3*g + 38*g - 41*g.\nAnswer: 9508*g**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -27*y - 11. What is the units digit of a(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150267747.\nAnswer: 3, 7, 41, 174527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*f - 36. Let s = -36 - f. Let m = s + 35. Is m a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -k**4 + 15*k**2 - k**5 + k**3 - 4*k**2 - 10*k**2 = 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 16236?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -2b634?\nAnswer: -2b62c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2398*q = -2386*q + 36 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -504 (base 7) in base 4?\nAnswer: -3321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9\/(-30))\/(189\/105). What is the smallest value in 0, -9, h?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 11:53 AM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -u + 6, -5*z = 60 - 75 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28295295 to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3\/10 - -17\/50. Which is greater: 1 or j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*j + 3*j + 3*j)*(1 + 0 + 5)*(1 - 4 + 4)*(-3*j - j + 6*j)*(0 - 2 + 0) as i*j + g + a*j**2 and give a.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (14 - (-86 - -58)) + 1\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 - 11*x + 12. Let l = -20 + 30. Let s be q(l). Solve -s*m - 5 = 2*m + 5*r, 1 = m - r for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28 - 16) + (-4 - (0 - -1)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9.92855l?\nAnswer: 9928.55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/8 and (-44)\/32*(-22)\/(-5)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00693177 to 4 decimal places.\nAnswer: 0.0069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*a + 2*a**2 - 51*a**3 - 43*a**3 - 41*a**3 - 1 - 83*a**3 + 122*a**3 to y + p*a + u*a**3 + v*a**2 and give p.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 60173*g**4 + 45053*g wrt g?\nAnswer: 722076*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -2.8, -1\/12, 0.1 in decreasing order.\nAnswer: 0.1, -1\/12, -2, -2.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y - 2. Let b be (102\/(-17))\/((-6)\/16). Suppose b = u - 0*u - 3*f, -5*f = 3*u + 22. Determine v(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 to the power of 1\/5, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aago when four letters picked without replacement from {g: 6, v: 3, o: 1, u: 1, j: 2, a: 2}?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07 + -153194476.\nAnswer: -153194476.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12881 + -7299. Is 11 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 2\/1 + 27\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 3*k + 4*d, -6*k + 6 = -5*k - d for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 45, 90, 135, 180, 225?\n\"Answer: 45*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10617 = -1502*y - 39155 for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 31*p - 37*p. Solve -h = 2*k - p*h - 18, 28 = 4*k - 4*h for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14881795 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + s + 6. Suppose -s*b = -54 - 15. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18458 - 18449. Let g(n) be the third derivative of 0 - o*n**2 - 1\/24*n**4 - 5\/3*n**3 + 0*n. Give g(7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 180 + -178 + (5 - 1) + (-3 - -5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 631?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 173145.72 to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + d - 3146 = -10527, -f = 3*d - 1489. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -1. Let u(p) = p + 14. Let v(w) = 3*h(w) + u(w). Let i be v(-9). Suppose -24 = -i*m + 24. What is the highest common divisor of m and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g. Let b be m(2). Let z(k) = -4*k - 2. Let y be z(-3). Suppose 6 = 4*f + j - y, f - 23 = -5*j. Solve b*d + 4*a + a = f, -3*d + 14 = -2*a for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/5 (b) -5 (c) -3\/4 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5428712*l**3 + 137703*l**2 + 12.\nAnswer: -32572272","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c - -55d38?\nAnswer: 55d45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6139609\/10 + -614734. Let u = 781 + x. Find the common denominator of -65\/2 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zls when three letters picked without replacement from zsslllsnnlnzllznzzl?\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3728\/2*11\/(286\/65). Let s = f + -923. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -1\/6, -3, 2\/7, 0.3, -1297.\nAnswer: -1297, -3, -1\/6, 2\/7, 0.3, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mosnjjmojnsso. What is prob of sequence on?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 428 = -3*n, -n + 5*n - 4*k - 576 = 0. Let a be (-20)\/n - 15\/(-7). Solve 0 = -m - a*x + 13, -5*x + 8 = -5*m - 2 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*30.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of m**3\/3 - 5*m**2\/2 - 3*m + 5990. Let q(j) = 2*j**2 - 6*j - 4. What is -5*l(n) + 4*q(n)?\nAnswer: 3*n**2 + n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ener when four letters picked without replacement from {m: 5, g: 2, r: 3, n: 2, a: 1, e: 7}?\nAnswer: 7\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-6)*q)\/q**(3\/2))\/((q\/q**(1\/2))\/(q*q*q**0*q))*((q*q**1)\/q)**(-18)*(q**1)**(-1\/3) assuming q is positive.\nAnswer: q**(-67\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 5*o - 0 - 25, 3*o + 7 = -2*x. Let v be x - -3 - 1*2. Which is the third smallest value? (a) -2\/7 (b) v (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-400)\/(-64))\/(-25))\/((-2)\/(-88))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -222112000111 (base 3) to base 4.\nAnswer: -1333123321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from llqtl?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 24.828366 microseconds?\nAnswer: 0.0000004138061","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 25*t**2 - 72*t - 354. Give f(28).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -0*l - l. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010011 + -100011?\nAnswer: 110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*a**5 - 5*a**5 + 6*a**5)*(-1 + 2 - 2 + (1 - 3 + 0)*(1 + 3 - 2) + 5 + 0 - 2).\nAnswer: 12*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22453 is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 2 d, and 1 i when four letters picked without replacement from {g: 4, d: 5, i: 1, n: 1, k: 3}?\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/3)\/(33\/(-22)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0268 - -1.2?\nAnswer: 1.2268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, v: 1, d: 2}. Give prob of picking 1 d and 1 v.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 12*s - 59. Let y(b) = -12*b + 59. Let d(r) = 4*q(r) + 5*y(r). Let k be d(5). Let x = -3.2 - -3. What is the closest to 1 in k, 2\/5, x?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -557790, -1115571, -1673352?\nAnswer: -2231133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 4*y = -3*j - 10, 3*j = -3*y + 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -6*s**2 + 5*s - 3. Let r(o) = -o**2 + 10*o + 19. Let a be r(12). Let q(w) = w**2 - w. Calculate a*q(b) - l(b).\nAnswer: b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 400281?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6681 is divided by 352?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -356\/15 + 77\/5. Find the common denominator of i and 67\/132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169049*z**3 + 168159*z**3 + 1 - 337206*z**3 - 1.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -z - 4*u, -2*u - 1 = 1. Let o = 4 - 2. Suppose 117 - 7 = o*d. What is the greatest common factor of d and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 34063 and 28135.\nAnswer: 958362505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -61 + 64. Suppose -7 + 3 = 4*y. Which is the smallest value? (a) x (b) y (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -217\/3 + 4117\/57. Let b = 965\/38 - g. Calculate the common denominator of 43\/8 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -14*s**2 - 8*s + 46. Let j be b(-12). Let l = 1820 - j. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118109 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 546, 1087, 1628?\n\"Answer: 541*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 5. Let x(l) = -l**2 - 6*l - 4. Let g be x(-4). Let u be g\/16 - 27\/12. Let s(b) = b**2 + 16. Let z(a) = u*s(a) + 7*i(a). Differentiate z(q) wrt q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3*i**2 - 5*i + 5. Let x(q) = q**2 + 2*q - 2. Let h(o) = 2*l(o) + 5*x(o). Let p(b) be the third derivative of -b**4\/12 - b**2. What is h(p(n))?\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/a**(-11)))\/a**(-10\/7) assuming a is positive.\nAnswer: a**(-67\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97 - 667*r**3 + 42*r**3 + 96 - 193 + 236*r**3.\nAnswer: -389*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11938 is divided by 249.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -12016314, -12016312, -12016310, -12016308, -12016306, -12016304?\n\"Answer: 2*m - 12016316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 505 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 318*q + 187*q - 129*q = -376 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 4 + 1)*(-1 - 6*i**3 - 2*i**4 + 8*i**3 + 6*i - i) to the form j*i + c*i**3 + h + u*i**2 + v*i**4 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 380743709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 10:37 AM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.93 + 0.2. Let w = a - -1.73. Is -0.037 at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -6*i**2 + i + 7. Suppose 43 + 20 = 3*l. Let x = -16 + l. Let t(c) = 12*c**2 - c - 13. Let j(k) = x*u(k) + 3*t(k). Suppose j(n) = 0. What is n?\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is aa (base 11) in base 8?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 4*h = 0, 0*h + 6 = 5*p + 3*h for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3624 + 1e?\nAnswer: -3605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1458, -2843, -4228?\n\"Answer: -1385*s - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 9*m**2 - 31*m - 16. Give r(-12).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3048 and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -101187.51 to the nearest one hundred.\nAnswer: -101200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of -w**4\/24 + 7*w**3\/12 - 3*w**2\/2 - 12*w. Factor o(i).\nAnswer: -(i - 6)*(i - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.4395279ml?\nAnswer: 0.0004395279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -188 - 1?\nAnswer: -189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*x = 5*x + 303255. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8830.197t in nanograms?\nAnswer: 8830197000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 949 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -3674?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r - 3. Suppose -1 + 11 = 5*z. Calculate the remainder when v(-7) is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/12 - 18\/(-4). Find the third derivative of 5*a**2 + 4*a**5 - c*a**2 - 2*a**2 - 3*a**5 wrt a.\nAnswer: 60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 87 - 32 - 2*v**2 - 29 - 27 - 96*v**3 to b*v**2 + i*v + o + y*v**3 and give y.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/(-6))\/(4\/(-6032)). Let t = -315 - o. Is 8 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - v**3 + 2 - 3 + 3 + v**3 + (0 + 0 - 1)*(0*v + 0*v - v**3) - 2*v**3 - 2*v**3 - v**3.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + (-10400)\/(-5239) + 1. Which is bigger: 0 or m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142*y + 5317770 + 6379196 = 0. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1090*k - 39683 = -5893 for k.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/5, 0.9, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 8:21 PM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.2 + 1.2. Let r = -3 - w. Suppose 4*q - 4 = 3*b, 0 = -2*q - 3*q + b - 6. Is r at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 0.03. Suppose -3*n - 3 = -b - 4, 5*b = 2*n - 5. What is the nearest to p in n, 0.3, -0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6711 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-6\/5)\/((b\/((b\/b**3)\/b))\/b)*(b*b**(1\/2))\/b**(-3)*(b\/(b\/b**(-2\/9))*b*b**8\/b)**3 assuming b is positive.\nAnswer: b**(709\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 6. Let y be 0 - b*3\/(-9). Find q such that -2\/3*q + 0 + 0*q**2 + y*q**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**2*n*q**3 + 20*c**2*n*q**2 - 7*c*n*q**3 + 10*c*q**3 + n wrt c.\nAnswer: -4*n*q**3 + 40*n*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 31903\/5 at most as big as 6382?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4827*v + 1904 = -4759*v for v.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d - 2*d + 444 = 0. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 533?\nAnswer: 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37*a**3 - 619 + 619)*(53 + 6*a + 14*a - 14*a - 12*a).\nAnswer: -222*a**4 + 1961*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-15)*(10\/15 + 0)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 - -1 - -3)*14. Let s be -2*n*(-2)\/16. Factor 1 - 9\/2*u + s*u**2.\nAnswer: (u - 1)*(7*u - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1498326.28 plus 3?\nAnswer: -1498323.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -0.5, 0.008, 2, 2\/5 in decreasing order.\nAnswer: 2, 2\/5, 0.008, -2\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -59 - -84. Suppose -30*h + 1135 = -z*h. What are the prime factors of h?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3124411222 (base 5) in base 10?\nAnswer: 6482062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 + 9*g + 5. Let p be ((-21)\/(-14))\/(6\/20). Let h(a) = -5*a - 3. Calculate p*h(i) + 3*m(i).\nAnswer: 3*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 4. Suppose 0 = -y - a + g, 0*a - 3*a = 5*y - 17. Let m(o) = o + o**2 - o**3 + 0*o**3 + 2 - o**2 - y*o**2. What is m(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of 1\/40*u**6 - 1\/8*u**4 + 1\/20*u**5 + 7*u**2 + 0*u + 0 - 1\/2*u**3. Find n such that g(n) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2031615334 to the power of 1\/2, to the nearest integer?\nAnswer: 45073","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) -50 (b) 2\/11 (c) 3\/8 (d) 0.23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -97075706.0999876 - -97075758. Let p = -51.9 + i. Round p to 6 decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 12 - (1 + 0). Suppose -2*t - x = -4*t + w, 0 = 2*t - 4*x + 4. Let y = t + 23. Is y a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7934.2 + 7929.2. Let u = 4.99 - -0.01. Sort -0.3, q, u, -4 in increasing order.\nAnswer: q, -4, -0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/25756 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**(-2)*d))\/d*d**(-3\/5))\/(((d\/(d**(-5)*d*d))\/d*d)\/d**(-5)) assuming d is positive.\nAnswer: d**(-43\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 1 + 0 + 6. Suppose 28*z = 7*z + 2772. Let n = z - 129. Solve 5*p = -3*x + 5, -n = 3*p + x - k for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 221201?\nAnswer: -221211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-147)\/21*3\/(15\/35).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -407747\/2070 + 4495\/23. Calculate the common denominator of -41\/70 and a.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4262644 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**3 - 9*c**2 - 11*c + 7. Suppose 0*f - 28 = -3*f - 4*s, 3*f - 2*s - 22 = 0. Is n(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/73? (a) -3 (b) 25\/2 (c) -0.3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 38208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/110 - 26*(-21)\/(-5460).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.315 + -0.36. Let b = -0.04459 - l. What is b rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**21*c*c)\/(c*c\/(c\/(c**(1\/18)*c*c))) assuming c is positive.\nAnswer: c**(395\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 - 42*b + 179. Let d be m(-29). Suppose -a + 2*t = -d, -t = -4*a - 5*t + 2272. What is the hundreds digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l - 2. Let a(m) = 2*m + 2. Suppose 120*v + 12*v = -528. Suppose 5*j = j - 3*r, 0 = -3*j + 4*r - 25. Give j*a(c) + v*d(c).\nAnswer: -2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d**4 + 8812*d**3 + 79028*d**2 + 96452*d - 184296 = 0.\nAnswer: -2194, -7, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-18)\/(-12)*(-20)\/(-6). Suppose 6 - 16 = -2*k. Is k equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -44*x**2. Let h(t) = -138*t - 1 + 140*t + 1. What is g(h(k))?\nAnswer: -176*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1860)\/496)\/((-6)\/(-32)). Which is the closest to 1? (a) m (b) -0.4 (c) -0.02 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169*i**2 + 57*i**2 + 56*i**2 + 58*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -8) + -14 - -13.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 - -14. Let k be 2*3\/(-12)*0. Let f = 48907 - 48908. What is the closest to f in -0.4, p, k?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**0\/t)**32)**19*(t*t**3*t*(t*(t**5\/t)\/t)\/t)**33 assuming t is positive.\nAnswer: t**(-344)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - (295\/1 - -1). Let d = c - -639. List the prime factors of d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*2*(-49)\/(-196).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 23966?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 10:38 PM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 53*s + 78. Let o(y) = 42*y - 205. What is o(g(j))?\nAnswer: 2226*j + 3071","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 6:54 PM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of q**3\/6 + 7*q**2 + 22*q. Let i be f(-9). Solve 2 = -h - 3*l - 0, 0 = h + i*l + 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/19)\/l*l*l)**(-20) assuming l is positive.\nAnswer: l**(-420\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2 - 17 + 33*y + 61*y + 8. Is r(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31.329 - -23.129. Sort 0, 10, 3, s.\nAnswer: s, 0, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132936 is divided by 2989?\nAnswer: 1420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z. Let f be i(2). Which is the second smallest value? (a) 0.2 (b) f (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a + a2?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -16*l + 43. What is y(6)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/1716 and -37\/12320.\nAnswer: 480480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1030.7 + 1340. Let h = s - 340. Let z = 31 + h. Sort -1, 4, z in increasing order.\nAnswer: -1, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 38*p**2 + 1. Let s be a(1). Suppose 36*x = s*x - 78. Solve 4*z + 10 - x = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/4982 and 103\/106.\nAnswer: 4982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.28 times -1331.953?\nAnswer: 372.94684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83060031?\nAnswer: 3, 29, 954713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -20*b**4 + 9*b**3 + b**2 - 49*b. Let t(w) = 19*w**4 - 9*w**3 - w**2 + 43*w. Let k(j) = 5*t(j) + 6*y(j). What is the third derivative of k(m) wrt m?\nAnswer: -600*m + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42994351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 66\/179 in 10\/11, -29, 4\/3, 1?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 2 - 5. Let z = x - -6. Suppose 0 = r - 3*o - 22, z*r + o = 4*o + 42. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7839837 and 14859.\nAnswer: 1143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) 2\/9 (b) -20 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-9)*(-20)\/1620*9.\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-506)\/(-69)*1065\/142?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/176670 and -43\/2229.\nAnswer: 131265810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2392881 is divided by 234?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2281 + 2286. Let j be (-12)\/3 + -3 + 2. Put -3, y, j, -4 in decreasing order.\nAnswer: y, -3, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -10 - 15. Suppose 11 = -3*g + 4*u, -g + 3*u = -0*u + 12. Let i(t) = 12 - 6 + g*t - 4 - 2*t. Give i(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j**4\/4 + 8844*j**3 - 52267869*j**2\/2 + 364434876*j - 3433351779\/4 = 0 for j.\nAnswer: 3, 11, 5889","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of -1\/36*a**4 - 1\/18*a**3 - 1\/180*a**5 + 0*a - 3*a**2 + 0. Suppose x(g) = 0. Calculate g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 27057768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 13) to base 3\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = l + 3*l. Let i be l\/(-10) - 35\/(-2). What is the highest common factor of 112 and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 22 + 2380\/(-105) - (-1 + (1 - 0)). Let g = 0.6 + -1. What is the third biggest value in g, a, 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6409*i - 6472*i + 508347. List the prime factors of i.\nAnswer: 8069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2128 = -36*t + 22*t. Let i be 19 - 30\/12*4\/(-2). What is the greatest common divisor of t and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36 + 1 + (-42 - (-26 - 23))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 47281 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 1:01 PM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**2 + 11*t + 15. Let c = -4220 + 4216. Determine o(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1539?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5\/8 of a kilogram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1894730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 6:02 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t - t. Suppose -3*f + 4*c = -0*c - 13, -4*f + 2*c + 14 = 0. Suppose 4 = -2*p - t*p - 2*r, 2 = f*p + r. Is p equal to -3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 406, -0.12, 4, 0.3 in descending order.\nAnswer: 406, 4, 0.3, -0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-90)\/(-105))\/(9\/42). Suppose 51 = 3*l - 7*z + a*z, 4*l = 3*z + 72. Put l, -4, 3 in ascending order.\nAnswer: -4, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**3 + 2*t**2. Suppose 20 = -2*h + 2*k, h + 4*k + 16 = -k. Let y(s) = -10*s**3 - 10*s**2. Let q be 5\/(-2) + (-5)\/(-10). What is h*c(p) + q*y(p)?\nAnswer: -2*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 - 27. Let t be (2 - 3)*(-381 - x). Suppose -d + 5*g = -t, d - 2*g + 5*g = 412. What is d rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 3 + 2*s**2)*(-2 - 7*s + 2)*(8 - 9 - 42).\nAnswer: 602*s**3 + 301*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and 8832.\nAnswer: 8830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + 5*a**2 - 2*a + 9. Let y be o(-5). Let n(j) = 6*j + 5*j - 8*j + 4 + 2*j + y. Determine n(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, k: 5, l: 5}. Give prob of sequence nlkl.\nAnswer: 5\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/4, 1901, 0.13, -1\/6, 3 in decreasing order.\nAnswer: 1901, 3, 5\/4, 0.13, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1 - 0)*767\/(-13) is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44\/(-770))\/(19836\/(-4788)).\nAnswer: 2\/145","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -37249*w**2 - 2316*w - 36.\nAnswer: -(193*w + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 151 - 127. What is the lowest common multiple of f and 21?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 306 - 295. What is the remainder when 361 is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8925 + -8924.99999947208. What is a rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 17249917, 17249913, 17249909, 17249905, 17249901, 17249897?\n\"Answer: -4*n + 17249921","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -110, -209, -300, -377, -434?\n\"Answer: w**3 - 2*w**2 - 100*w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*i + 0*i - i)*(-1 - 2*i + 1) - 2 + 2 - i**2 + 0*i + 0*i + 2*i**2 + 0 + 0 - i**2 + (3 - 4 - 2)*(i**2 - i**2 + i**2) to k + l*i + n*i**2 and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1199071 is divided by 41345.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 2*y + 0 - y + 2*y + 0*y + (3 + 0 - 2)*(0*y + 2*y - y) + 1 - 1 + 2*y - 2 + 2 + 2*y - y + 4*y - 2*y - 6 + 4 - 3*y - 2.\nAnswer: 2*y - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -842587 + -177530. Let p = r + 1020117.51999832. Let z = p + -0.52. What is z rounded to seven dps?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4244958.\nAnswer: 2, 3, 113, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 2*d - 1 = -27, 5*r + 5 = 5*d. Let x be 23\/(-2)*8\/r. Let a = 60 - x. Does 8 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*1*(-69)\/4*3792\/5688?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2014199?\nAnswer: 11, 71, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 32\/(-4)*1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 18*r - 5. What is q(2)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-14)\/(-55))\/(1\/((-35)\/6)) and 1\/24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -134*l**3 - 2*l**2 - 4*l - 3. Let d be j(-4). Let z = d - 778732\/91. Let v = z + 116\/13. Find the common denominator of 93\/8 and v.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29106 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 472590 and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in 1\/38, 1\/4, 4, -10374, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 32997 to the power of 1\/2, to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.95653266 to three dps.\nAnswer: 15.957","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/247 and 11\/4655?\nAnswer: 60515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 990413970?\nAnswer: 2, 3, 5, 7, 13, 51827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16963*n + 4604*n + 531437 = 0 for n.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 406530989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, l: 4}. What is prob of sequence wwl?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -7\/401476 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8384 and 7408.\nAnswer: 3881792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 - u. Let n(i) = 2*i**2 - 2*i. Let j be ((-24)\/(-10))\/(8\/(-100)). Let r = -2 - 3. Let q be ((-1)\/(-2))\/(r\/j). Calculate q*n(s) - 7*c(s).\nAnswer: -s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 1 + 123*m**2 - 365*m**2 + 134*m**2 + 141*m**2 + 2*m to c*m + t*m**2 + p and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 14.58, 4, -7, 3, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**4 + 2*l**4 + l**4)*(-6 + 3 + 1) + (0*l - 4*l + 5*l)*(-4*l**3 + 0*l**3 + 2*l**3).\nAnswer: -4*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 4*i**4 - 2*i**2 + 9*i. Let f(j) = -21*j**4 + 11*j**2 - 45*j. Let g(q) = -2*f(q) - 11*p(q). Find the second derivative of g(d) wrt d.\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**2 + 4*k**2 - 6*k**2 + (-18*k + 35*k - 24*k)*(4*k + 0*k - 3*k).\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -323 (b) -1\/11 (c) 4 (d) 0.04 (e) -3\/43 (f) -1 (g) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**0)**(2\/71)*y**(-1\/11)\/(y\/y**4) assuming y is positive.\nAnswer: y**(32\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 43 = 4*d, 63 - 12 = 4*d - 3*x. Solve -1239 + 1191 = -d*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -816858, -816860, -816862, -816864, -816866, -816868?\n\"Answer: -2*q - 816856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l**2 - 22*l - 32. Let p be w(-9). Let k(c) = 6*c**2 + 3*c - 2. Let n be k(2). Solve 0 = j + 2 - 0, -p*j = 5*u + n for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + 119*i + 2599. Calculate k(-29).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*k**3 + 5*k**3 - 10*k**3 - 2*k**3 + 6*k**3 - 3*k**3 + (-2 + 2 + 2*k**2)*(-k - 3 + 3) in the form o*k**3 + z + l*k**2 + r*k and give o.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 625222434.12019 - 625215122. Let z = 7312 - i. Let v = z + 0.12. Round v to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -59 - -101. Let r be 198\/(-8) - 1\/4. Let a = r + x. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 3*u + 1712 = -2*d, -5*d - 4228 = -3*u. Calculate the least common multiple of 12 and (-10)\/75 + d\/(-60).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2627855, 2627848, 2627841, 2627834, 2627827, 2627820?\nAnswer: 2627813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 13*q**2 + 38*q - 187. Let i be x(6). Let h = i - 512. Which is the closest to 0? (a) -2\/23 (b) -5\/6 (c) h (d) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2*l - 83 = 0. Suppose -2*v - 28 = -d + 2*v, 2*d - 56 = -4*v. What is the remainder when l is divided by d?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1377 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1484*s**3 - 3964359*s**2 + 3964359*s**2.\nAnswer: -1484*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z - 5. Let v(p) = -p - 4. Let g(n) = 3*c(n) - 4*v(n). Let h(o) = 2*o**2 + 14*o + 4. Let x be h(-7). Calculate g(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*f + 159*f + 7470 + 1890 = 38*f for f.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1112012202200 + 0?\nAnswer: -1112012202200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*k - 148 + 112. Let b = 0.05 - 2.05. Let p = b + 1.9. What is the biggest value in 0.2, p, k?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -0.0098934 (b) -0.6 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a decade in months?\nAnswer: 1410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 1 + -8 + -2 + 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000321203777 to seven decimal places.\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6840256 and 3264?\nAnswer: 1088","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 x when three letters picked without replacement from xuxxxxxxxuu?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -3750473?\nAnswer: 3750475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + 2 - 0 - (-72)\/18. Suppose -4*s = -m*h - 8 - 8, 4*h = 5*s - 16. Factor 1\/6*p**2 - 1\/6*p**4 - 1\/6*p + s + 1\/6*p**3.\nAnswer: -p*(p - 1)**2*(p + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 958 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -2 + 0 - (-105 - -44 - -77).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.07 + 0.07. Let r = -0.11 + 5.11. Let m = -5.5 + r. Which is the nearest to 1\/2? (a) d (b) m (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 - -4. Let t = -21 + r. Which is the closest to 0? (a) t (b) -0.4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = -f - 7, -3*f = -5 + 20 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 14 - -863a55?\nAnswer: 863a69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3115*u**4 + 2291*u**2 - 2*u.\nAnswer: 74760*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3a26aa6 + 59?\nAnswer: -3a26a49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00021598954 to 5 decimal places.\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9.035 - -9. Let v = j + -23.965. Let c = -12 - v. Put 3, 2, c in ascending order.\nAnswer: 2, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 115*x + 25. Let w(l) = -58*l - 13. Let p(z) = -6*c(z) - 13*w(z). What is the tens digit of p(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i + i - 3*i + 2*i. Let w(x) be the third derivative of -7*x**5\/60 + 104*x**2 + 2. Give w(j(s)).\nAnswer: -28*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 17 = 4*z, 4*l + 2*z - 16 - 8 = 0. Let v(m) = -3*m**3 + 3*m**2 - l*m**2 + m**2 - 3*m**3. Determine v(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6 + -1)*(-1 - 0). What is the highest common factor of 1 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*o - 69*o = -6. Let l be -3 + (-1)\/(-1)*o. Solve l = -2*t + 3 - 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 133, 266, 395, 520, 641, 758, 871?\n\"Answer: -2*x**2 + 139*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/784210 and -37\/58480?\nAnswer: 269768240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -22.06 and -0.016.\nAnswer: 0.35296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-3\/7)*l*l)\/l)\/l*l)\/l*l*l\/(l**0*l*l)*(l**(-1\/4))**50 assuming l is positive.\nAnswer: l**(-181\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-3*sqrt(110)*-1 - sqrt(110) - -3*sqrt(110)*-3)\/(-1*(sqrt(160) + -2*sqrt(160)*-1)).\nAnswer: -1 + 7*sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*q - 11. Let v(c) = -c**2 + 29*c - 19*c - 18*c - 4 - 1 - 1. Calculate v(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27480, -27479, -27478, -27477, -27476, -27475?\nAnswer: -27474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 2 + 3, y = -4*x - 20. What is the tens digit of (-1)\/((-1)\/25 - y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -8*i + 10*i - 16 - 44*i**3 + 22*i**2 + 45*i**3. What are the prime factors of s(-13)?\nAnswer: 3, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12432 and 89392.\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 560 = 2*v. Let f be 66 + (2 - 4)*-1. Suppose f*u = 85*u - 952. Calculate the greatest common factor of u and v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 + -19. Suppose l*d - 17 - 8 = 0. Suppose v + 0*i = i - d, 2*v + 2*i - 10 = 0. Solve v*w = -w + 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**8\/b)\/b*b**16)\/(b*b*b**(-3\/8))**47 assuming b is positive.\nAnswer: b**(-435\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4630 (base 8) to base 15.\nAnswer: adb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -o**3\/2 + 219*o**2\/2 - 4384*o + 47880 = 0.\nAnswer: 20, 28, 171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(99) + (sqrt(99)*-2 - sqrt(99))*-1)\/(sqrt(243)\/sqrt(3)).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 116c4c (base 15) to base 4\nAnswer: 3023113332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wq when two letters picked without replacement from qqswsqqwsqsfwss.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3 - 143850*o**2.\nAnswer: -3*o**2*(o + 47950)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3874 and 4023.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, 2, -5, -39, -4, 35 in decreasing order.\nAnswer: 35, 26, 2, -4, -5, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1618445?\nAnswer: 5, 47, 71, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 217386926.3 rounded to the nearest one million?\nAnswer: 217000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 618323 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*c + 14*c - 187 - 77 = 0 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -21.666 and 29 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, -0.5, 12, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 306*-0.1.\nAnswer: -30.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 2 - 2 + 248*a**2 + 105*a**2 - 604*a**2.\nAnswer: -251*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 97939 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 37 - 23 = 0. Suppose 2*c = 12 - 4. Calculate the greatest common divisor of c and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 251722 to the nearest integer?\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 91 + 62 = 0. Suppose 3*p - 2*g - 39 = 0, -4*p = -g - 4*g - 52. What is the remainder when l is divided by p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 5 - 1)*(3 - 5 + 1)*(-3*d + 0*d + 0*d) + (2*d + 4*d - 5*d)*(1 + 2 - 10)*(1 - 4 + 2) - 1 - 2*d + 1 in the form w + f*d and give f.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 25900180 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1065 a factor of 8194416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 13. Let a be 0 - (1 + 0) - -11. Let p be ((-5)\/a)\/(-1*13). Which is smaller: z or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cba when three letters picked without replacement from {t: 2, c: 4, b: 4, x: 7, a: 2, s: 1}.\nAnswer: 4\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 71 and -156674.\nAnswer: -156603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 391?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*b**4 - 64*b**3 + 20*b**2 - 21.\nAnswer: 72*b - 384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -7*h - 55. Let t(k) = 5*k + 56. Let u(j) = 5*t(j) + 4*x(j). Let f be u(-7). Calculate the highest common factor of 18 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30 + -21. Suppose -8*j + 5865 = l*j. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -48\/15167 or 1?\nAnswer: -48\/15167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -8*y**2. Let g(b) be the second derivative of 0*b**2 + 0 + 1\/3*b**3 - 2*b. Calculate v(g(r)).\nAnswer: -32*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 291 - 257.2. Round y to 0 decimal places.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 + 7*t + 9. Let j be v(-6). Let i = -364 - -363.912. Let y = 0.788 + i. Which is smaller: y or j?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 19*n**2 - 75*n. Let j(x) = 4*x**3 + 75*x**2 - 301*x. Let i = 11 + -2. Let c(b) = i*d(b) - 2*j(b). Find the second derivative of c(h) wrt h.\nAnswer: 6*h + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 3*k = -66, 5*g + k = -2*k - 81. Let t = -1119 - -1175. Suppose 5*d = -5*c - 50, -11*c + 16*c = -2*d - t. Is g less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/5 of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1694) + sqrt(1694))\/(3*sqrt(6)\/sqrt(3)).\nAnswer: 22*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5135 = -100*t - 64*t - 769 for t.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 10\/((-406)\/(464\/(-16)))*(-3)\/(-45)\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2817 and 1152.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-6))\/((-8)\/(-36)). Let u(g) = g - t*g + 2*g - 6*g. Let i(o) = -11*o + 4*o + 4*o - 5*o + 7*o. Determine 5*i(w) - u(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*b + 0*b + 11*b**4 + 5*b wrt b.\nAnswer: 132*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 5*y = -7 - 26, 4*y = 5*x. Let c = x - 6. Is (-1)\/c + (-21)\/(-6) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 2. Let x(y) = y**2 + 5*y + 4. Let k be x(-4). Let f(p) = 0 + k - 3 - p**q - p + 2. Determine f(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -0.2 (c) -0.3 (d) -2.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1351 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2144\/1206 - 4\/(-18)) + 24?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -6*r**3 - 3*r**2 - 5*r + 4. Let x(o) = -13*o**3 - 7*o**2 - 11*o + 9. Suppose 0 = k + j - 2, 3*k + j - 8 = 8. Give k*q(b) - 3*x(b).\nAnswer: -3*b**3 - 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 - 5*l + 2. Let a be y(6). Let z be (-6)\/a + (34\/24 - 1). Let x = 3.01 - 0.01. Sort z, x, 1\/4.\nAnswer: z, 1\/4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*r**2 - 24*r**2 + 54*r**3.\nAnswer: 54*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*l**3 + 585*l**2 - 59318*l?\nAnswer: -102*l + 1170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) 12\/11 (c) 4 (d) -5\/6 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 880037907?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -8350*x - 5. Let i(t) = 41760*t + 23. What is -3*i(k) - 14*s(k)?\nAnswer: -8380*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1417737?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 5:13 AM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-21))\/(1062\/(-54)).\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 11*o - 762 = 10*o, 3*y = -5*o + 2276. Calculate the remainder when y is divided by 131.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8709421*b**2 + 18545467*b wrt b.\nAnswer: -17418842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 88 and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -114709009\/4253730 + 3\/141791. Let o = f + 161\/6. What is the second smallest value in 0.3, o, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - 2\/(-16))\/((-84)\/(-112)). Let w = r + 3. Let g = 3 + -2.9. Which is the second biggest value? (a) 0.4 (b) g (c) -5 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 4 = -s. Let j be (-3)\/s*((-80)\/15 + 4). Suppose -8*l + 3786 = -j*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63333251.\nAnswer: 19, 53, 109, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 130\/40 - (-1)\/(-4). Differentiate -1 - 4*s**4 + 6*s**4 - f + 0 with respect to s.\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((2016\/105)\/(-24))\/(2 - 1)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pupnunjjupjn. Give prob of sequence jnp.\nAnswer: 9\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 5*u + 47, -3*u - 1 = -d - 0*u. Let p be (d*4)\/(-1 - -2). Let l = -17 - p. Solve -3*n - l = -0*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - (-11 - (23\/((-69)\/24) - -5)) - -10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -19. Let d be ((-1)\/(-2))\/(2\/r). Let u be d + (6 - 1) - 1. Solve -s = 5 - u for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zgbzzxx. Give prob of sequence xzx.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 3*n**2 + 2. Let l be j(-3). Let k be (-26)\/(10*(-2)\/8 + l). Let d = -50 + k. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = t - c, -5*c - 12 = -c. Suppose -11*u + t = -8*u - b, 5*u = b + 163. Calculate the remainder when 197 is divided by u.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12084*m**5 + 1389*m**2 wrt m?\nAnswer: -725040*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 34, -4, 3\/5 in increasing order.\nAnswer: -4, 3\/5, 5, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q - 6. Let x = 29 - 42. Let v be o(x). Which is smaller: -1 or v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/15*1*-3. Let q be (-30)\/(-8) + -3 + (-187)\/204. What is the nearest to 1.2 in 0.2, g, q?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 1 = 26. Let l be -1 + -3*(-15)\/d. Put -2, l, 0 in descending order.\nAnswer: l, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 8069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5840872*i**2 + 11681750*i**2 - 5840873*i**2.\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2155? (a) 0 (b) 2 (c) -24\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-46)\/7)\/((-492)\/(-246)))\/((-2)\/(-14)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 34, 47?\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.99 + 84.01. Let k = -82 + a. Suppose -6*s = -9*s - 15. What is the smallest value in s, 0.02, k?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u - 10. What is the remainder when 142 + (18 - 6) + -23 is divided by b(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3*n. Let g(q) = 163*q. Calculate g(r(h)).\nAnswer: -489*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -15915*f - 95504. Give h(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of -5*m**4\/24 + 3*m**3\/2 - 6*m**2. Let f be w(-4). Suppose -3*s + 10 = -f. List the prime factors of s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*a + 380 = 58*a + 66*a for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/15*3\/(11 + -12). What is the second biggest value in w, -140\/9, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1010 is divided by 91.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -8, 2, 32, 88, 176, 302, 472?\nAnswer: 692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -5) + 0 + (1 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**(-1\/3)))**(-39)*(v*v**(2\/3)*v)**(-35) assuming v is positive.\nAnswer: v**(-319\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.22059 to 1 dp.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-72)\/(-56))\/(((-24)\/(-14 - 10))\/(-1))?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/520 and 23\/1240.\nAnswer: 16120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a hour in seconds?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 539 + 724. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-nine halves of a litre?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 618 + 150 = 483*m - 198 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 829907.6 millilitres in litres?\nAnswer: 829.9076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 43487 + -43486.980003. Let x = -0.02 + a. What is x rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.96 - -0.04. Is f < 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-8)\/((-8)\/(-2))*2).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/(-20) + 14\/(-5))*-1. Suppose -5*t = 3*p + 3, 3*t + 2*p - u*p = 1. Solve 12*d - 10*d - 6 = t for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.5604 hours to minutes.\nAnswer: 513.624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -17, -44, -93, -170, -281, -432?\n\"Answer: -m**3 - 5*m**2 - 5*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -1943*c + 394. Let r(l) = -3885*l + 854. Give -13*k(b) + 6*r(b).\nAnswer: 1949*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 20 + (-14 - -6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/14))**(-40)\/(i\/((i\/i**10)\/i)*i**(-3\/4)*i) assuming i is positive.\nAnswer: i**(-555\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 - 2*b - 2. Does 11 divide t(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 10*y**2 - 16*y - 11. What is the units digit of x(12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (0 - (-2 + -2 - -1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(10)\/(sqrt(2)*2).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + 5*x**2 - x + 6. Calculate l(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/((-35)\/7) - -6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 3\/(-4))*4. Let o be 50\/5*1\/2. Solve -o*l - 6*k = -k, q*l - k + 4 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) -0.04 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -11*t. Let i(z) be the first derivative of 3*z**2\/2 + 124. Calculate x(i(w)).\nAnswer: -33*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -159, -370, -675, -1122, -1759?\nAnswer: -2634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/11 + 152*b\/11 + 91290\/11.\nAnswer: -2*(b - 255)*(b + 179)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.19 - 1.81. Is g greater than or equal to 0.07?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10723 (base 8) to base 15\nAnswer: -1543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13 + 32*z**3 + 35*z**3 - 74*z**3 wrt z?\nAnswer: -21*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 33*i**3 + 12*i**2 - 253*i + 66. Is 18 a factor of f(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 2*m + 26 = 0, 18*r + 4*m + 16 = 17*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 49 - 27*h**2 - 25*h**2 + 2 - 25 - 12 as m + u*h + g*h**2 and give g.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 51 = -f, 2*f - 525*k = -527*k - 24 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**(-4\/5))\/c)\/(c\/(c\/c**(-1\/4)))*c\/(c*c**(-3\/4)*c)*c*c**(1\/2) assuming c is positive.\nAnswer: c**(17\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11491386*v**6 + 379487*v**2 wrt v.\nAnswer: -1378966320*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 20*t**3 + 108*t**2 - 440*t - 192 = 0?\nAnswer: -8, -2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - (-4 - -9)) + 33 + -13?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2868 and 39310242.\nAnswer: 78620484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2017772 is divided by 3571?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 22 - 8 = 0. Suppose -r*x = -2*x. Suppose -2*u = -x*u. What is the closest to u in -1\/8, -0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 274, -5, -4, 3\/8, 3\/31 in ascending order.\nAnswer: -5, -4, 3\/31, 3\/8, 274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnyq when four letters picked without replacement from {y: 3, o: 2, q: 1, g: 1, n: 4}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (7 - 11) - 0) + -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3*w = -r + 5, 0 = -w + 2*r. What is the smallest value in w, -2, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**2\/8 - 87616437*z\/4 + 2558880010858323\/8 = 0.\nAnswer: 29205479","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4*i + z = 103178, -2*i = 2*z - 103182. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195 is divided by 94?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*l = 15 + 7 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.9, 45, 0.35, 1\/4, -2, 28 in decreasing order.\nAnswer: 45, 28, 0.9, 0.35, 1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 268*f**2 - f - 3. Does 14 divide z(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 140 and 448?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 10\/(-5))\/((-21)\/(-7)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -17*k + 13. What is the units digit of a(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, -580, -292 in increasing order.\nAnswer: -580, -292, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -303156 (base 7) to base 5\nAnswer: -3122130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 9 + 3 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 72970\/14333 - 2\/14333. What is the common denominator of (-1 + (-15)\/(-7 + 22))*(-25)\/21 and u?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/((-21)\/9 + 2). Suppose -v + q - 6 = 0. What is the common denominator of -143\/6 and (-687)\/(-90) - v\/15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -5. What is the second derivative of 2*b + 0*b - 4*b - 3*b**f wrt b?\nAnswer: -36*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -177*n - 23. Let a be z(-23). Suppose 2*t + 3 = 11, 0 = 4*g + 3*t - a. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2. Let u(j) = -3*j + 0 + 0. Let b(t) = t. Let y(z) = -17*b(z) - 6*u(z). Determine r(y(p)).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -220\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 96726 and 14.\nAnswer: 96726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0087 + 0.0087439. What is d rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + -33 + 7)\/(-2). Let d be -5*1 + (l - (-8 + -4)). What is the greatest common divisor of d and 189?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 - 42 = 4*q - 5*i, 2*i + 1 = -q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9531338 by -12443.\nAnswer: -766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 - 1027 = -5*r + x, -3*x - 687 = -3*r. Calculate the highest common divisor of 15 and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-4*((1 + sqrt(192) + sqrt(192) - sqrt(192)) + sqrt(192))**2*6.\nAnswer: 768*sqrt(3) + 18456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 - -1210?\nAnswer: 1120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*d**3 + 2224*d**2 + 20*d - 2224*d**2 wrt d?\nAnswer: 102*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1557375 is divided by 2114.\nAnswer: 1471","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11033 (base 6) to base 14.\nAnswer: -7b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.373 - -0.127. Suppose 0 = -4*o + s - 13, o + 10 = s - 3*s. Let u = o + -1. What is the biggest value in u, -0.2, 4, i?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (75*30\/(-525))\/(64\/(-28)).\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11603145 to the nearest integer?\nAnswer: 3406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -47, -1, -10 in increasing order.\nAnswer: -47, -10, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o. Let a(w) = -7 - w + 5 + 1. Let n(y) = -2*y - 60. Let p be n(0). Let j(q) = -72*q - 60. Let r(v) = p*a(v) + j(v). Determine t(r(l)).\nAnswer: -12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 796?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.925034 to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 281 + -183. Suppose 0 = -v - 2*x - 61, x - q = 2*v - 3*x. Is 7 a factor of -16 - -17 - v\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9226 - 9222. Solve 2*i + 5*a + 16 = 0, 3*a + v = 3*i - 7*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 + 9063d4?\nAnswer: 9063db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6123.0000003533 - 6123. Round u to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 5, 3, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 t, and 1 v when three letters picked without replacement from hclrlthvhvhlvvhh.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o + 11. Let c be x(-12). List the prime factors of (-273)\/(-12) + c + (-9)\/12.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2629 (base 10) to base 6\nAnswer: -20101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11014543?\nAnswer: 11014543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**2 - 63*u + 130. Calculate the remainder when g(-32) is divided by -2 + 21 + (-2)\/(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2551*5.\nAnswer: 12755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 982.3255 decades?\nAnswer: 98.23255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 3*t - 55 - 12, 5*m + 3*t + 50 = 0. Let f(x) = 3*x**3 + 6*x**2 - 4*x - 6. Let q(g) = -6*g**3 - 13*g**2 + 9*g + 13. Determine m*f(r) - 6*q(r).\nAnswer: -3*r**3 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d**4 - 10*d**3 - 75*d**2 - 20*d + 100 = 0.\nAnswer: -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/(-1404)*9*39\/65*(-380)\/(-8)?\nAnswer: -19\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 - (-12 + 2\/(-1)). Is t smaller than 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2543 or -43070?\nAnswer: 2543","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*k**2 + 9*k**2 - 41*k**2 + 11*k**2 + 8*k**2.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001010001101001000101 (base 2) to base 3.\nAnswer: 11120112110200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -55.\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b - 970?\nAnswer: -97b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 15) to base 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 742494 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 0) + -2 + -2 + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s + s - 2 + 0*s + (2 - 1 - 2)*(-2*s - 1 + 1) + s - 7*s - 5*s to the form r*s + h and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 10:09 AM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = -5*d - 19*h + 16*h, -2*d + d - 2*h = 4*d + 33 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24894567767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of -m**5\/60 - m**4\/3 - 7*m**3\/6 + 5*m**2. List the prime factors of k(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f**4 + 6*f**4 - 4*f**4 + (0*f**3 - f**3 + 3*f**3)*(-3*f + 14*f + 6*f) as v*f**3 + u*f**2 + o*f + h + t*f**4 and give t.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-69)*-1 - (-212542)\/253. Calculate the highest common factor of 10 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 73, 131, 155, 127, 29, -157, -449?\n\"Answer: -3*b**3 + b**2 + 76*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 8*z. Let y(i) = -240787*i**2. Determine y(v(h)).\nAnswer: -15410368*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -130041431?\nAnswer: 130041431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 + -5.2. Let n = 0.0774 + -96.7774. Let u = n - -97. What is the third smallest value in -2\/3, -3, p, u?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -135 - -105. Let d be 0\/(j\/6 + 2). Suppose -2 + d = r + 3*i, -3*r - 1 = 4*i. Solve -p + b + r = 4, 4*p - 2*b = -2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 3 - 31) + -2 + (19 - (21 - 7)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -29, -86, -197, -380, -653, -1034, -1541?\nAnswer: -2192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + 4)\/2*1. Suppose 5*p - 2*u - 19 = 0, p - u - z - 4 = 0. Let v be (1\/p)\/((-2)\/(-24)). Solve -3*m + 5*k - 2*k - 12 = 0, -5*m - 20 = v*k for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 122384 and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 7*z + 2*z)*(-2*z**2 + 3*z**2 - 2*z**2) + (-4*z - 9*z**2 - 3*z + 8*z**2)*(z + 33*z - 7*z).\nAnswer: -25*z**3 - 189*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*z**2 + 44485852*z**3 - 22242926*z**3 + 4*z**2 - 22242923*z**3 - 15*z**2.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 12 = 2*a + 2*a, -2*n = 3*a - 10. Solve -6 = -2*y + 3*o - n*o, 0 = -y - o + 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -146, -154, -162?\nAnswer: -170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -83) + (11 - 8) + (18 - 29).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**4 + 4*z + 2190*z**2 + 1 + 6*z + z**3 - 2190*z**2 in the form b*z + o*z**4 + n + t*z**3 + v*z**2 and give b.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-138)\/1104*(-16)\/10. Let y(b) be the first derivative of b**2 - 5\/3*b**3 - 34 + 0*b + b**4 - q*b**5. Factor y(k).\nAnswer: -k*(k - 2)*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8678064 divided by 1084758?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 PM and 6:45 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -35*a**2. Let s(r) = -3003487*r**2 + 2*r. What is s(b(m))?\nAnswer: -3679271575*m**4 - 70*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w**(2\/3))\/w)**(2\/31)*w**(-1\/3)*w*(w*w**(1\/6)\/w)\/w*w assuming w is positive.\nAnswer: w**(175\/186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -89*f + 86*f - 24 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(42\/(-9))*(33\/(-11))\/(-81).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21951.3 - 21950.3. Let o = -2.3 - -2. Let j = -4 - -3. Which is the nearest to o? (a) j (b) -1\/4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*v - 10. Let k = v - -15. What is the remainder when 32 is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416.4669 - -8296?\nAnswer: 8712.4669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 4*k - 24. What is s(-5)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w*w**(-1)\/w*w*w*w**8)**(-2\/45) assuming w is positive.\nAnswer: w**(-22\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zqqq when four letters picked without replacement from {z: 2, q: 17}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.31 - -0.97. Let u = 1.16 - y. Which is the biggest value? (a) u (b) 0 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + 9*r - 5. Let o(w) = -w**3 - 2*w**2 + 3*w - 3. Let x be o(-2). Determine k(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 6422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 154575757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 6700460.9?\nAnswer: 6700460.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*z**5 - 182*z**4 + 421*z**2 wrt z.\nAnswer: 120*z**2 - 4368*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81, -160, -239, -318?\nAnswer: -397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91 - (2 + 11 - -8) - 25.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 36, 32, 26, 18?\n\"Answer: -s**2 - s + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 12093317 and 0.049.\nAnswer: 12093317.049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 39\/5 of a litre in millilitres?\nAnswer: 7800","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Does 113115 = 113114?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o + 7. Let z be r(8). Let d(j) = -15*j - 4 + z*j + j**2. Determine d(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 1580, 2\/3, -217, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*b + 10 = -0*b, -4*s + 3*b = -13. Solve -y + 16 = -w - 2*w, -s*w + 5*y - 36 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 677642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -461369.1 or 19.2?\nAnswer: -461369.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 870802?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 f when two letters picked without replacement from wfqwq.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3565946 and 106.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12087*t - 12 = -12099*t. What is the closest to t in -2, -0.4, -1\/3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -73*z**3 - 10659*z**2 - 117530*z - 1608 = 0. Calculate z.\nAnswer: -134, -12, -1\/73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17585, -160675, -549067, -1305413, -2552365, -4412575, -7008695?\nAnswer: -10463377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*y**3 + 3*y**2 - 3*y**2 + 10*y**3 - 2*y**3.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 1016*t - 8055. Determine v(8).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 s, and 1 b when three letters picked without replacement from {b: 3, c: 1, d: 2, e: 1, s: 3, m: 9}.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 73590824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2187 + 5566 + 2907 = 52*o. What is the remainder when o is divided by ((4 - 2) + 28)\/1?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.05407 - -705.14593. What is n rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m\/(m\/(m**2*m)))\/m*m))**(1\/10))**(-4\/3)*(m\/(m\/(m**(-3)\/m*m))*m)\/(m*m**0)*(m**(-2\/3))**34 assuming m is positive.\nAnswer: m**(-127\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 - -2) + 96\/27. Let g be (-2)\/(-5) + (-84)\/(-90). Let q = g - s. What is the closest to 0 in -0.1, q, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 92 + -96. What are the prime factors of (80\/(-8))\/(h\/66)?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 49, 122, 195, 268?\n\"Answer: 73*z - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/(-3))\/(-4 + (-610036)\/(-152508)). Suppose 591 = -7*i - k. Round i to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 23*s**3 + 4*s**2 + 1. Let b(z) = -26*z**3 - 4*z**2 - 1. Calculate 6*b(t) + 5*f(t).\nAnswer: -41*t**3 - 4*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -6*v + 6. Let x(b) = 2*b**2 + 6*b - 5. Let w(a) = -3*t(a) - 3*x(a). Let i(m) = -9*m**2. What is i(w(y))?\nAnswer: -324*y**4 - 324*y**2 - 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - 7*v - 7. Let n be g(8). Let t be 302\/(-10) - n\/(-5). What is the remainder when t\/(-3)*5\/2 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*o**2 - 3 + 766*o**3 - 7*o**4 - 3*o + 3*o**2 - 764*o**3 to p*o + g*o**4 + d*o**2 + i + t*o**3 and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.7 + 3.3. Suppose -12*a - 162 = 54. What is the second biggest value in a, 0, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195874 + 2*g**3 - 195749 + 391623.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2989678.\nAnswer: 2, 23, 103, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -1. Let d = 12 + -9. Let r = d - g. Solve f + b = -4 + 3, 0 = -3*f - 4*b - r for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1 + (((sqrt(64)\/sqrt(2) - sqrt(32))*-2)**2 + -2 - (sqrt(2048) + sqrt(2048) + 1 + sqrt(2048))*-5)) + -5.\nAnswer: -960*sqrt(2) - 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 16 = 2*g, 3*c - 3*g - 18 = -0. Let o = -5 + c. Let v(p) = -p**3 + 13*p**2 + 17*p - 38. Let u be v(14). Solve -3*r + o*r - 16 = u*j, -3 = j for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of -f**3 - 1\/6*f**5 - 44*f + 11\/24*f**4 + 0 - f**2 - 1\/120*f**6. Calculate q(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w - 19. Let q be t(10). Is q at most 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13862 - -14687. Calculate the remainder when 834 is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18835.\nAnswer: 5, 3767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 12) to base 4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2920128*h**3 - 38091*h**2 + 13*h - 1?\nAnswer: 17520768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of -5*m**3\/3 - 3*m**2 + 28*m. Let k be u(-1). Solve 0 = k*p - p - 12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, -2\/7, 4, -117 in descending order.\nAnswer: 4, 3\/4, -2\/7, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p + 18 - 3 = 0. Sort -11, -1, -0.4, p in increasing order.\nAnswer: -11, -1, -0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.857 - 0.027. Let x = y - 0.8. What is the smallest value in 0, x, 2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**3\/x)**12)**(26\/7))**(-6\/11) assuming x is positive.\nAnswer: x**(-3744\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 61 (base 9) to base 2\nAnswer: 110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.1, 2, -3\/2.\nAnswer: -2, -3\/2, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 840 < 14289\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 233.300000649 - 233.3. Round f to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252 a factor of 349776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -347, 4\/5, 0.\nAnswer: -347, 0, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4584461927?\nAnswer: 17, 269674231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -9, 1\/20, -2\/23?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 1598\nAnswer: -3\/1598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -38*d**3 + 3*d + 9. Let v be a(-4). Suppose v = 4*u + 3*u. List the prime factors of u.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeebrenrnnrrrn. Give prob of sequence bree.\nAnswer: 5\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/4*4\/(-9).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven halves of a day?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 55 - 50. Let n(u) be the third derivative of 1\/108*u**4 - u**2 + 0*u**3 - 1\/540*u**6 + 0 + 1\/945*u**7 - 1\/270*u**y + 0*u. Find i such that n(i) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16644.535952 to the nearest one hundred.\nAnswer: 16600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7, 27, 69, 145, 267?\n\"Answer: 2*j**3 - j**2 + 9*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 2475?\nAnswer: -4\/2475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 495 and 12014585.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.01 and 0.05.\nAnswer: -0.1505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.064? (a) -6 (b) 3\/4 (c) -0.4 (d) -0.02 (e) 0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1\/64, 2, -42 in decreasing order.\nAnswer: 2, -1\/64, -5, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 v when two letters picked without replacement from {v: 2, e: 5}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 84 = 107 - 53 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28\/669 - -3484\/2007. Factor -4\/3 - 4\/9*f**2 + p*f.\nAnswer: -4*(f - 3)*(f - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1828878, -1828903, -1828928?\nAnswer: -1828953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 7*j + 6. Let q(x) = 6*x + 5. Suppose -19*w - 8 = -21*w. Determine w*f(d) - 5*q(d).\nAnswer: -2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -416 = -n - 3*n. Is (n\/16)\/(2\/12) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**3 + 9580*i**2 + 4588820*i.\nAnswer: 5*i*(i + 958)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4 - -2 - 4 - (-9 + 13)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 7 = v, 0*v - g + 26 = 5*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 89 + -85 + 202\/(-49). Which is the second biggest value? (a) v (b) 0.1 (c) 0.5 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/10 and 25\/11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 8:22 AM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1814*-78976\nAnswer: -143262464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 418468278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 5*y - 265, 5*y - 4*z + 45 = 300. Suppose v - y = -2*n, 2*n + 151 - 59 = 2*v. What is the remainder when 136 is divided by v?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dcdverh. Give prob of sequence dec.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from dffdf.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 946 (base 13) to base 7\nAnswer: 4414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r**2 + 50*r - 20. Let z(h) = -5*h + 2. Let k(v) = d(v) + 10*z(v). Let w(g) be the second derivative of 3*g**3\/2 - g. Determine w(k(t)).\nAnswer: -18*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/1944 and -151\/8424.\nAnswer: 25272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3\/4 - 46485*l**2\/4 - 58125*l.\nAnswer: 3*l*(l - 15500)*(l + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 502.\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*p + 38*p = 177 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 115\/4*k**2 - 14*k + 1.\nAnswer: (5*k - 2)*(23*k - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 7. Suppose b = -6*g + g + 25. Suppose 0*d + 4*d = 5*s - 350, g*s - 340 = 2*d. Calculate the highest common factor of 11 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10722 and 209461418?\nAnswer: 3574","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5922 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -2*l - 4, -8*l + 3*l - 5 = 0. List the prime factors of c - ((-1)\/3 - (-530)\/(-3)).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -328, 5, 0, -1595 in descending order.\nAnswer: 5, 0, -328, -1595","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 930728323.\nAnswer: 7, 2833, 46933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1411*j**3 - 10*j**2 + 2 wrt j?\nAnswer: 8466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1730 + 1731. Which is the closest to g? (a) 2 (b) -261 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.41 + 0.59. What is the closest to -1 in -1\/7, 0.3, f?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 163391 - -993609. Round p to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 130 - 91. Is a a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9244.118 days in milliseconds?\nAnswer: 798691795200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*p**2*u**3 - 3*p**2*u + 110*p**2 + 66*p*u**3 - 8*u**3 wrt p.\nAnswer: 10*u**3 - 6*u + 220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -96, -172, -248, -324, -400?\n\"Answer: -76*f - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 476 - 223. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26379 less than -6438?\nAnswer: -32817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1241, 5379, 16405, 37763, 72897, 125251, 198269?\nAnswer: 295395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = c + 10, -4*x - 40 = 5*c + x. Is 6 a factor of 21 + (-6 + 3 - c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 205*u**2 - 6 - 227*u**2 + 8 as t*u**2 + w + q*u and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -330*w**3 + w**2 + 19*w**2 + 334*w**3.\nAnswer: 4*w**3 + 20*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48228 is divided by 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-1 - -2) - (7618 - 7600)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 23 - 15*w + 100*w**3 + 0 + 21 + 47*w - 101*w**3 - 29*w**2. Give j(-30).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32379 a multiple of 129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -21761000 to the nearest one million.\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -10100 (base 3) in base 15?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16)\/(-48)*(-9)\/(-1) + 0. Solve -5*b = -t*m - 6*b - 6, -m - b = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-3*3\/9). Solve 0 = -4*y + 2*b - 10, b - s*b = -y + 2 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = -n + 2*j + 7, j = 5*n - 35. Suppose n*l = -10*l + 203660000. What is l rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52, 275, 656, 1189, 1868?\nAnswer: 2687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12 - -21) + 2\/1. Which is bigger: 10 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of 8*j**7\/147 + 94*j**6\/105 + 136*j**5\/35 - 13*j**4\/21 - 460*j**3\/21 + 16*j**2 - 6*j - 111. Solve m(n) = 0 for n.\nAnswer: -7, -4, -2, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + -3a340729?\nAnswer: -3a340730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4200189, -4200166, -4200119, -4200042, -4199929, -4199774, -4199571?\nAnswer: -4199314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d + 3 + 3660*d**2 + d - 3656*d**2 to the form h*d + u + p*d**2 and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -382*j**2 - 3893*j**2 - 1257*j**2.\nAnswer: -5532*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.05 (b) 2 (c) 6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/(-10) + 6 + -8. What is the second smallest value in -19, 3\/4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -929*w - 731 = 69 - 6374 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 61551774 to the nearest one million.\nAnswer: 62000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 77\/(-385) + (-6)\/(-5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32300.6nm in millimeters?\nAnswer: 0.0323006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 171*f + 18. Let a be u(8). Let n(g) = -a*g - 6545*g - 3019*g. Let h be n(2). What is h rounded to the nearest 1000?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -97 and 4442573693.\nAnswer: 4442573596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9*1*((-10)\/6 - -2). Suppose r*n = -5*y + 421, -683 = -5*n - 2*y + 3*y. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (-27)\/(4\/10 + 114\/(-60))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, o: 3}. What is prob of sequence eo?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2874 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**3 + 23 - 23 + (-2*z + 3*z + 0*z)*(z**2 + 2*z - 2*z) + 34*z - 34*z + z**3.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -44344032 (base 5) to base 13\nAnswer: -107435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2087.1947 to one dp.\nAnswer: 2087.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8481617 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100 - -1000121?\nAnswer: 1000221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -10, -4\/5, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -490 - -785. Let c = -2 - -8. Suppose -l - b = -c*l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122233 (base 13) to base 3.\nAnswer: -211000020001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196 + 44 - 28 = -53*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 + 6)\/(-3) + 4. Suppose 0 = -2*d - 2*c + 12, 0 = -d + c + 1 - 3. Factor -15\/2*x**3 + 2*x**d + b + 9\/2*x.\nAnswer: -(x - 1)*(3*x + 1)*(5*x + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -3*n + 10*i - 118, 4*i + 127 = -3*n. Suppose -t + 3*r + r - 124 = 0, -4*t - 460 = 2*r. Let p = n - t. Is 15 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - (1 - 2\/1). Let l(d) = 2*d - 7. Let j be l(5). Solve 3*q + 0*q - j = k for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17019856 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/12 and (17\/(-255)*-282)\/(1304\/5)?\nAnswer: 1956","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1997*u + 1996*u + 3 = 0. Calculate the highest common divisor of u and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1091.7 + 1092. What is the third biggest value in o, -1\/4, -11, 2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 + 3*c + 2. Let w be i(-3). Suppose 21*v - 17*v - 28 = 0. Let j = w - v. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3123 and 11.\nAnswer: -3.4353","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (40\/(-4))\/100*0 - -175403 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1\/6)*c*c*c\/c**(-3\/8)*(c**(-1))**(-2\/9) assuming c is positive.\nAnswer: c**(247\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.143085719 rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.664584 and 1.\nAnswer: 0.335416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1271286 + 7?\nAnswer: 1271292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 74 = 3*c, -3*c = 3*x - 144 + 90. Let y be 1 + 2\/(-2) + 4. Let z = c - y. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 9, x: 3}. Give prob of sequence xi.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - r = -8, 6*r = 2*r. Let i be -19 + -2 - (-20)\/h. Let b = i - -32. Calculate the remainder when 46 is divided by b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*p + 3*p + 807 = a + 5, p - a + 162 = 6*p for p.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6 + 3)*(-2*i**3 - 2*i**3 + 3*i**3) - 2*i**3 - 3*i**3 + 2*i**3 + 0*i**3 + 3*i**3 - i**3.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2916?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-666)\/31302 - (-377)\/47.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1463868664 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -4*y + 21, -2*r = -4*r + 5*y - 30. Let c be (8\/r)\/(2\/(-55)). Calculate the highest common divisor of 11 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 621 and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**2\/d))**42)**(-31) assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 11*y**2. Suppose 2*l = 4*m - 5*m + 7, -4*l = 5*m - 17. What is the smallest common multiple of -1 + -1 + 2 + (-1 - -3) and s(m)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -477722, -477691, -477660, -477629?\n\"Answer: 31*d - 477753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of 18 + 7\/2*f**2 + 0*f**3 + 13\/2*f**4 + 0*f. Find the second derivative of n(i) wrt i.\nAnswer: 156*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -135872 + -55b?\nAnswer: -136211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 34768 a multiple of 130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -665*y**5 + 51*y**4 - y**2 - 17706 wrt y?\nAnswer: -39900*y**2 + 1224*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.227 - -12.023. Let y = -2.98 - -8.86. Let s = y - g. What is s rounded to one decimal place?\nAnswer: -6.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k. Suppose 4*h + 4 = -4. Let o = -1 + h. Let y(d) = 2*d - 1. Let g be 3 - 36\/42 - 8\/56. What is g*y(x) + o*b(x)?\nAnswer: -2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4112186428?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1093, 49, 92.\nAnswer: -1093, -6, 49, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 18 = 2. Suppose -c*u - 84 = -9*u. Calculate the remainder when 62 is divided by u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 0*d**3 + 127*d - 124*d - 2*d**3 - 6*d**2 in the form w + v*d + y*d**3 + k*d**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-2))\/((-17)\/34).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43*n - 23*n + 0*n)*(47*n - 97*n - 128*n).\nAnswer: -3560*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 8:58 AM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2091527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129 is divided by 37.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4962 is divided by 837?\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20504 and 6919168.\nAnswer: 1864","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -202*j**3*t**2 - 119713153*j**3*t - 7*j**2*t**2 + 3*j**2*t - 78080*j*t**2 wrt t?\nAnswer: -404*j**3 - 14*j**2 - 156160*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -2*w**2 - 573. Let s(u) = 5*u**2 + 7*u. Determine s(z(j)).\nAnswer: 80*j**2 - 28*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 386 - -1?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -7.9829 - 901880440\nAnswer: -901880447.9829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r + 7. Suppose 20 = -4*y + l - 26, -56 = 4*y + 4*l. Let g be ((-18)\/y)\/(9\/30). Give i(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -5*x**3 - 64*x**2 + 17*x + 14. Determine b(-13).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -62971510 divided by -94694?\nAnswer: 665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4538 a multiple of 292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(30))\/sqrt(6) + sqrt(55)\/(sqrt(22)\/sqrt(2)) - (-1*sqrt(540))\/sqrt(12))**2*4.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**4)**(15\/7))**(-4\/9) assuming p is positive.\nAnswer: p**(-80\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - 47*r**2 + 417*r + 29. Determine f(12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.28845 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -652*w + 195095. What is x(299)?\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-1*sqrt(234))\/((sqrt(48)\/sqrt(4))\/sqrt(6))*-5 + 1).\nAnswer: -45*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -490 - 1109 = -27*l + 291. Calculate the remainder when 165 is divided by l.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**2\/15 + 72*b\/5 - 1414\/15 = 0.\nAnswer: 7, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, j: 2, k: 7, z: 4, w: 3}. Give prob of picking 2 z.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/2 - 1\/(-2). Suppose 5*z - 23 = -m*i, -i + 11 + 10 = 5*z. What are the prime factors of 61 + i + (1 - 3)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/((-81)\/(-48))*(-705)\/220)\/(2\/11)?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113 = 5*k - 2*y + 97, k = 2*y. Solve 69*d + 5*v + 8 = 65*d, -k*d + 5*v = 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22686 * -103.2\nAnswer: 2341195.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 4*n = 2850, -5*n = 3*l + 1018 + 3257. Let g = 3229 + l. List the prime factors of g.\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-19)\/(-38))\/((-3)\/(-33) - (-171)\/(-1518)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1435 - 44?\nAnswer: -1523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77867*l**3 - 77849*l**3 + 310847*l**3 - 77322*l**3 - 77839*l**3.\nAnswer: -30*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -3, -2\/8857547, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w + 2. Suppose -7 = 3*m + 11. Let d be i(m). Solve -3*h + 2*r - 19 = -3*r, 4*r - d = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - u + 2*u + (-1 - 3 + 5)*(3*u - 2*u - 3*u) - 5*u - 2*u + 5*u)*(-6 - 29*u + 57*u - 29*u).\nAnswer: 5*u**2 + 30*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/8*((-80)\/(-112))\/((-12)\/56).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.5 + 2.5. Which is the nearest to q? (a) 1 (b) -1\/20 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 337022779 to the nearest integer?\nAnswer: 18358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 5*w**2 + 7*w - 4. Let q(h) = -6*h**2 - 7*h + 4. Let z(r) = 4*q(r) + 5*s(r). Let n be z(-8). Let m = n + -2. Solve -8 = m*j - 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 + -1 - (4 + 0). Let c be (j - (-1 + 1)) + 64. Suppose 15*b = 6*b + c. Let w(m) = m**3 - 8*m**2 + 6*m + 8. Determine w(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-52)*(-5733)\/(-98)*3\/(-27)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*y**3 - 5*y**2 + 3*y + 2703.\nAnswer: -33*y**2 - 10*y + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.042 and 0.2.\nAnswer: -0.0084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6984 and 394208?\nAnswer: 776","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -214857, -1718809, -5800963, -13750419, -26856277, -46407637, -73693599, -110003263?\nAnswer: -156625729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54748 and 20.\nAnswer: 273740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12877163?\nAnswer: 13, 59, 103, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 27299.81 take away -612.3581?\nAnswer: 27912.1681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/((-4)\/(-6)))\/(-5). What is the biggest value in f, -6, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10231*c**6*k**3 - 116*c**6 - c**2*k**2 + 8*c**2*k + c**2 + 540*c*k**3 - 56*k wrt c?\nAnswer: 1227720*c**3*k**3 - 13920*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -5*x**2 - 15*x + 269. Give z(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/476 and 107\/112.\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z + z - 2*z + z + 0*z + z + (-3*z - z + 2*z)*(-1 - 1 + 1) + z - 5 + 5 + 29*z + 109 - 109.\nAnswer: 32*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*v + v + 3*v)*(-3*v + v + 3*v)*(-11*v + 8*v + 45*v) to w*v + h + m*v**2 + f*v**3 and give f.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -4\/5, 0.4, 1.1, 5, 3.8 in descending order.\nAnswer: 5, 3.8, 1.1, 0.4, -2\/7, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 753 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: What is the common denominator of 67\/822 and 55\/432654?\nAnswer: 59273598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -m + 4*m + 3, -5*j + 3*m + 3 = 0. Suppose -4*i + j*i = -192. Suppose 0 = -d + 5*t + i, -t - 9 + 4 = 0. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -3*n + n + 2, -2 = 3*b - 4*n. What is the second derivative of -5*s**3 + 46687*s**4 + 9 + 36*s**3 - b*s**5 + 5*s - 46687*s**4 wrt s?\nAnswer: -40*s**3 + 186*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*j**5\/3 - 10*j**4\/3 - 1225*j**3\/3 - 1390*j**2 + 1800*j = 0. What is j?\nAnswer: -12, -5, 0, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 422903 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-20)\/5)\/(-12)*3. Solve 0 = -g + 3, -v = 3*u + 5*g - 31 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*c**2 - 16*c**2 - 26*c**2 - 27*c**2.\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -3.16. Let r = 0.04 + p. Which is smaller: 2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14352 + -50?\nAnswer: -14402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 - y - 1. Suppose -3*v = -71 + 89. Let b(g) = 3*g**3 + 5*g**2 - 6*g - 6. Determine v*a(h) + b(h).\nAnswer: 3*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -0.04 (c) -24 (d) 0.2 (e) 49 (f) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 52*y**2 + 19*y - 132. What are the prime factors of m(10)?\nAnswer: 2, 11, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1041612 and 3718?\nAnswer: 13540956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2435 divided by 2435?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -5*m**2 - 3 + m**3 + 0*m**3 - 2*m**3 - 2*m**3. Let b(v) = -3*v**3 - 4*v**2 - 2. What is -3*b(c) + 2*j(c)?\nAnswer: 3*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4946 + -29599\/6. Calculate the common denominator of k and -3\/25.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7242 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -11852598*n**2. Let h(a) = -38*a**2. Give u(h(l)).\nAnswer: -17115151512*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/2075, -4, -14?\nAnswer: -4\/2075","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 3*k + 12 = 3*p, 4 = -k - 2*p. Let b = 6 + k. Is 0\/(-2) + b + 32 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - -2 - (-80)\/(-20). Which is greater: -3\/22 or k?\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12587 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -12739136 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40200 and 236265.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n. Let d(y) = 2869*y**2 + 1501. Calculate d(s(v)).\nAnswer: 2869*v**2 + 1501","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 548672.2s in nanoseconds?\nAnswer: 548672200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -10*f**3 + 2*f**2 + f - 2. Give s(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 c, and 2 r when four letters picked without replacement from rojqqacccqcjqcr.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17404 - 17415 - 3*l + l + 3*l**2 + 4*l**4 to b*l**2 + v*l**4 + u + x*l + t*l**3 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 573 - 144. Let m = -286 + d. Let f = -142.99999877 + m. What is f rounded to seven dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 140 and 1420?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 749 is divided by 21.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 720 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 4*a = -472, -3*h + a = -2*h - 112. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2282 a factor of 477409721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 196 less than 26?\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**5 + 6*d**4 + 45*d**3 - 202*d**2 - 240*d = 0.\nAnswer: -6, -1, 0, 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vt when two letters picked without replacement from {t: 1, b: 1, v: 4, d: 5}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 120 + -120311?\nAnswer: -120131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-9)\/(-6))\/(1\/2). Suppose 10 + z = f. Suppose -3*u - 7 = -4*u. Calculate the remainder when f is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -223\/375 + -2\/375. Let k = -0.5 + 0.2. Let w = -0.2 + -4.8. What is the second biggest value in 2\/7, k, w, u?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 52\/130 - 16591\/(-10). Let t = a + -13183\/8. Find the common denominator of (-1*2)\/((-16)\/98) and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + 8*h**2 + 4*h + 4. Let s be d(9). Is 11 a factor of (s\/6)\/(1\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1654043457.\nAnswer: 3, 11, 1583, 31663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 11*y**2 - 31*y - 2. Let p be z(-6). Let o be 1 - (-1 + (-88)\/p). Let f be 12\/15*(-30)\/(-4). Calculate the highest common factor of o and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2 or 220?\nAnswer: 220","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (340\/(-70))\/(-17) - 74\/14.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.107302l in millilitres?\nAnswer: 2107.302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 746112865?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(272))*1)**2.\nAnswer: -24*sqrt(17) + 281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -3 - 20\/6.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/20 and 99\/32?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -108.677 + 109. What is v rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69368.\nAnswer: 2, 13, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 + 64.492766.\nAnswer: 64.392766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -23*n - 803. Let t be a(-39). Calculate the highest common divisor of 1034 and t.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/9 + (-164)\/(-3). Suppose 0 = 3*w - k - 237. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 888623 (base 10) to base 15.\nAnswer: 128468","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2978 - 1207. What is the highest common factor of u and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -84 = 169?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 341299 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1458.0173 to the nearest 10.\nAnswer: 1460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 1429640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -7*z - 7. Is z at most 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 9*u - 1. Let i(j) = -j + 1. Let q(p) = 4*i(p) + v(p). Let c be q(-10). Let l = -32 - c. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34533 - -69514927\/2013. Let g = 2009\/4026 - j. Let u = -7.7 - -8. What is the fourth smallest value in 1\/5, u, -0.12, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -162.24 times -0.5\nAnswer: 81.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = k, 4*g - k = -4*k - 365. Let i = 2353 + -11723\/5. What is the common denominator of (1\/(-18))\/(2\/g) and i?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-16)*y**(5\/4))**(-24))**(-2\/11))**(-48) assuming y is positive.\nAnswer: y**2880","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/1180 and ((-9)\/(-3540))\/(7\/(-33) - (-31)\/186)?\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 6*m**2 + m + 3. Suppose 0 = -h + 2*n - 3, 29 = 4*h + 3*n - 3. Calculate the remainder when l(6) is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.738 - -0.648. Let l = 3 + -1. Let c = 1.8 - l. Is c <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 2) + -3 + -15 + -7?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1585251 divided by 4.\nAnswer: -1585251\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258 is divided by 54?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i*v**2 + 90*i*v - 3*i + v**2 wrt v?\nAnswer: 4*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j + 4. Let y(v) = -4*v + 5. Let h be y(-7). Let u = -29 + h. Suppose u*a = -6 - 6. Let r(g) = 5*g + 11. Give a*r(n) + 8*i(n).\nAnswer: n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 328550201 to the nearest integer?\nAnswer: 690","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u + 2. Let o(q) = 69*q + 69*q - 139*q - 2 + 1. Let f be -2 + 18\/117 + 37\/13. Determine f*a(d) + 4*o(d).\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11120 (base 3) to base 12.\nAnswer: -a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12409 is divided by 2064.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + -4 - (125 + -146).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8.4781 + 0.0219. Let s = 283018.305 - 283009.80499829. Let y = o - s. What is y rounded to seven dps?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -11*i**2 + 13*i**2 + 21*i - 155 + i**2 + 12*i**2. Calculate the smallest common multiple of 7 and z(7).\nAnswer: 5089","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*f - 112 = -50*f for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -618 >= -204?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = -11*r + 207. Let u(h) = -42*h + 14. Let v be u(-4). What is the highest common factor of v and r?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9313 - -353829.586\nAnswer: 363142.586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 194269 = 4*w - 3*m, 138*w - 135*w - 145733 = -4*m. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 45 = -3*y. Suppose -2*d = -2*o + 80, 4*o - 2*d - y = 139. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -781*p**3 + 64*p + 113 - 696*p**3 + 1478*p**3.\nAnswer: p**3 + 64*p + 113","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 17020593 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 938 is divided by 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11005*w**3 + 453506*w wrt w.\nAnswer: 66030*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 2*j**2 - 4*j - 3. Let c(k) = -k**3 + 2*k**2 - 5*k - 4. What is 4*c(m) - 5*f(m)?\nAnswer: m**3 - 2*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 59400 a multiple of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 2, 188\/3, -38\/9, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2154*2.91\nAnswer: 6268.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14\/4 - (-1)\/(-2). Let g be ((-1)\/(-1) + -2)*a. Let c = 9 + g. Calculate the remainder when c is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 66.8 - -16.2. Let z = h + -83.1. What is the closest to z in 5\/3, 0.1, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -261210, -1044860, -2350946, -4179468, -6530426?\nAnswer: -9403820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*x + 5. Let i be (0\/(1 + x))\/((-12)\/(-12)). Let o be 3\/(-12)*2*6\/(-87). Which is smaller: o or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 302161663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 4:30 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -6*g**2 - 4*g + 9. Let c(d) = -1 + 66*d**2 - 59*d**2 - 1 + 5*d - 7. Calculate -4*c(z) - 5*p(z).\nAnswer: 2*z**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of -89*n**7\/210 + 43*n**3\/6 + 71*n**2. What is the derivative of t(p) wrt p?\nAnswer: -356*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -256*m = -247*m - 36 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21112 + -20012212?\nAnswer: -12221100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-28.48.\nAnswer: -113.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qdwwjljqsjw. What is prob of sequence djl?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/(sqrt(64) - sqrt(4) - sqrt(4) - sqrt(4)) - (sqrt(13) - (-2*sqrt(13) + -4)))**2*1.\nAnswer: 16*sqrt(13) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*a = -1 - 361, 0 = -3*i - 3*a + 1116. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 696\/18*36\/(-48)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*q**2 + q**3 - 4*q**2 + 34*q - 9*q**2 + 41*q**2 - 10*q**2 to the form d*q**2 + x*q + p*q**3 + b and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-29)\/406)\/(30\/(-315)))\/((-156)\/160)?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of -3*g**6\/20 + g**5\/5 + 5*g**2. What is the third derivative of n(t) wrt t?\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 133280 to the nearest 1000.\nAnswer: 133000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p**2 - 260916*p + 3391232 = 0. What is p?\nAnswer: 13, 65216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5721547298.\nAnswer: 2, 23, 124381463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 4. Solve -n*z - 7 = 4*b + 5, 0 = -2*z + 2 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 - -1.1. Suppose -2*n + 233 = 5. Let u = -568\/5 + n. Which is greater: u or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -231.\nAnswer: 4\/231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 6, q: 3, b: 8, l: 2}. What is prob of sequence uql?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0292 + 48.3708. Let w = -53 + u. Let g = -4.6062 - w. Round g to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 1.1, -0.03, 3\/2, 1\/3, 2.9?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 96164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -4*r + 32, 4*d - 2*d + 4 = 0. Let k(i) = i - 1. Let y(b) = 2*b**3 - 6*b + 7. Determine r*k(p) + y(p).\nAnswer: 2*p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2)\/(g*g*g\/(g**(2\/43)*g)))\/(g*g\/((g**0*g)\/g))**(-2\/17))**8 assuming g is positive.\nAnswer: g**(-21744\/731)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21522 + 7416 = 6*c. Suppose -4*l + p + 6431 = 0, -9*l + 12*l = p + c. List the prime factors of l.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 338*f**2 - 21*f + 91. Is i(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**2 + 2*f**2 + 0*f**2 + (-30*f + 15*f + 20*f)*(-3 - f + 3).\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 - 252154053?\nAnswer: -252154104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gmqjg. What is prob of sequence qjq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b - 3*n + 4 + 4, 10 = -5*b - 5*n for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, g: 4, c: 9, i: 1}. Give prob of sequence oi.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1206 and 1474.\nAnswer: 13266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 76622 - 1532787\/20. Let t = r - 9\/10. Find the common denominator of 61\/4 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1925843587.\nAnswer: 73, 3313, 7963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n**3 - 8*n**2 + 13*n + 42. Calculate the smallest common multiple of 396 and o(-6).\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 356\/(-6675)*-50*15\/1300?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/7 - 106920\/(-70) a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 283\/42 + -46\/7. Let x = 0.011 - -0.989. Which is the closest to x? (a) -1 (b) 6\/7 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1791*y + 19814 + 30334 = 0 for y.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by 29.\nAnswer: 8\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 + 3*q**2 - 6*q + 18. What is i(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-10))\/(3*(-1)\/(-8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 11 = o, -6*s + 3*o = -s - 17. Let x(j) = j**3 - 6*j**2 + 4*j + 11. Let l be x(5). Solve l - 2 = -s*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 - -32. Suppose -i*c = 4*m - 6899, 5*m - 8620 = -0*c - 5*c. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1865 and 0.17.\nAnswer: 317.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 80.66172 years?\nAnswer: 8.066172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*p = -8*p - 59*p + 4314050. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.03 - 3. Let k = 1.98 + -2. Let q = k + w. Round q to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -76 - -79. Suppose -4*y = -5 - 3. Suppose -4*l - z*k = 10, -y*l + 3*l + 5 = -2*k. Is l bigger than -3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 5*w**3 + 710*w**2 + 6025*w + 5320 = 0.\nAnswer: -133, -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72299 and 6107.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.05 - 0.95. Let z = 71 - 72. Let x be (0 + z\/(-5))*50\/4. What is the biggest value in m, 0.2, -5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p**4\/4 + 426*p**3 - 3721*p**2\/2 + 1974*p - 2151\/4 = 0 for p.\nAnswer: 3\/7, 1, 3, 239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -162550752 divided by -168.\nAnswer: 967564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, m: 3, d: 4}. Give prob of picking 2 m and 1 e.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r**3 - 152*r**2 + 146*r + 308. Calculate y(75).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 130 + 201123100?\nAnswer: 201123230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*z**3 - 5176*z**2 - 41200*z - 61728 = 0. Calculate z.\nAnswer: -1286, -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11265663*i**3 - i**2 - 9766367*i wrt i.\nAnswer: -67593978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 5*r + 6 = 31, r - 5 = -4*x. Let z(m) = -m**2 - 3*m + 2. Let v be z(-3). Suppose -c + 20 = 4*c - 5*s, v*c + 3*s = 13. Solve 25 = c*k - x for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -964 + 3369 = 13*t. What are the prime factors of t?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 4, 1\/4, 20, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/10)\/(-1) + ((-2178)\/45 - -49)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/9 (b) -4 (c) 2.6 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1498\/12 + 3\/18. Suppose r = 5*k - 5*c, -2*k + c - 79 = -5*k. Calculate the least common multiple of k and 22.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1030 (base 4) in base 11?\nAnswer: -6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -703*i - 3*k = -708*i - 5*k - 50, 5*k = i - 98 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0475 to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -3522, 2, 70, 1, 0, -3 in ascending order.\nAnswer: -3522, -3, 0, 1, 2, 10, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 7:38 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 4*y**3 + 12*y**2 - 7*y - 13. Let s(d) = 3*d**3 + 8*d**2 - 5*d - 9. Give 5*b(k) - 7*s(k).\nAnswer: -k**3 + 4*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011011111011 (base 2) in base 3?\nAnswer: -22001220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 times -2?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -22*k**2 + 10*k**2 + 7*k**2. Let g(z) be the third derivative of z**4\/8 + 78*z**2 - 3. Calculate t(g(m)).\nAnswer: -45*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kjnknnnnwk. What is prob of picking 1 j and 2 n?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13310716927 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 38\/6*(-15)\/(-95)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 4*n**2 + 9*n - 7. Let i be x(3). Suppose -80 = -8*h + i. Solve -3 = -h*d + 14*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, y: 2, o: 1, q: 4}. Give prob of picking 1 o and 1 q.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -4. Suppose 0 = x*r + 5 - 2. Which is smaller: 1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(22)*-1*6 + sqrt(176)\/sqrt(72)))\/(2*((sqrt(99) + sqrt(11))*-3 + sqrt(11))*3).\nAnswer: 85*sqrt(2)\/198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 10, 3007 in descending order.\nAnswer: 3007, 10, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**5 + 1936*z**4 + 3869*z**3 + 1934*z**2 = 0. Calculate z.\nAnswer: -1934, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -y**5\/30 + y**4\/24 - y**3\/6 - 3*y**2\/2 - 3*y. Let i(r) be the first derivative of j(r). Let u = 9 + -11. What is i(u)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -245 - -248. Let b = 10932\/5 - 2179. Let n = -163\/20 + b. Put -2\/3, i, n in decreasing order.\nAnswer: i, -2\/3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, -7, 2445\/11 in increasing order.\nAnswer: -7, 41, 2445\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.5 take away 8.74318961?\nAnswer: -4.24318961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + 0. Let k = -13\/10 - -7\/5. Sort -5, k, n.\nAnswer: -5, k, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 563013?\nAnswer: 3, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -3*y + 55, 3*t + 2*t + 3*y = -89. Let j = -0.22 - -0.02. Let w = -3 - -7. What is the fourth biggest value in t, -3, w, j?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - -5) + 21*-1. Let h be (d\/27)\/(2\/(-3)). Is (-334*h + 3)*-1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61 - 24 - 39 + 4*x**2 - 149 + 9.\nAnswer: 4*x**2 - 264","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f**5\/2 + 45*f**4\/2 + 25491*f**3\/2 - 254265*f**2\/2 - 2269944*f + 2384310 = 0. What is f?\nAnswer: -89, -10, 1, 19, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27) - -3*(sqrt(162)\/sqrt(6) + sqrt(27))) + sqrt(27) + (sqrt(27) - sqrt(297)\/(sqrt(77)\/sqrt(7))))\/((sqrt(324) - -1*sqrt(324)*-4)*-4).\nAnswer: sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, d: 1, x: 1, r: 2}. What is prob of sequence xd?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*c - 679 - 1084 = -23 for c.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 2*t**2 - 7*t - 7. Let w be n(-6). Let y = w + -189. What is the remainder when y is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54556572937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 446209 * -5.2\nAnswer: -2320286.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 321\/8 - 40. Let y = 4.9 + -2.9. What is the smallest value in -1, 2\/11, y, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s - 1. Let v(k) = 135562*k - 22. Let p(j) = v(j) - 8*x(j). Let a be p(-9). What is a rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 25 = 3*m + s, 5*s = 4*m + 5. Let l = 17.6 - 18. Which is the smallest value? (a) m (b) -1\/5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (912\/(-210) - -4)\/((-2)\/5). Suppose 24\/7*p**4 + 0*p - 4\/7*p**2 - 2*p**5 + 0 - y*p**3 = 0. What is p?\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 650.975g to kilograms.\nAnswer: 0.650975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-11))\/((50\/(-11))\/25).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2120 divided by 424\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3279674 is divided by 909?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 13*c**2 + 17*c + 33. What is a(-14)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11.97 + 0.03. Which is the closest to -0.1? (a) -0.5 (b) -3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 104179?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27562 divided by -12.\nAnswer: 13781\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.06 from -132597.\nAnswer: -132596.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 2095519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = -4*b + 3*u + 5, -2*b - 29 = u. Let w be (-8)\/10 - (-3)\/b. Let c = -74.2 - -74. What is the nearest to 0.1 in c, 4\/7, w?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = g - 141. Let y = 68 - g. What is the highest common divisor of y and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + w = -3*w - 23, 0 = 3*j + 2*w + 13. Let p = 0.08 - -0.07. Let y = p + -2.15. Which is the closest to j? (a) 2 (b) 3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1732382*i**3 - i**2*r - 2*i*r - i - 295767 wrt i.\nAnswer: -10394292*i - 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -19, -33, -47, -61?\n\"Answer: -14*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 570?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*x - 8*x + 0*x in the form h + d*x and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*b**3 + 5*b**3 - 6*b**3)*(0*b**2 + 3*b**2 + 0*b**2).\nAnswer: 21*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 30235.36cm?\nAnswer: 302353600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + 1. Suppose 5*l - 3*l = k. Suppose -l*i = -0*i - 36. What is the lowest common multiple of i and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0646216477 to five dps.\nAnswer: 0.06462","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -48, -221, -506, -903, -1412?\n\"Answer: -56*p**2 - 5*p + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-4)*-18*(5 + -7). Let v = 27 - x. Suppose v = 12*t - 2004 + 48. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.8 in 5, -3\/5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eleven tenths of a gram?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 14*v**2 + 14*v - 18. Let r be h(13). Let z(d) = 2*d + 5. Let s be z(r). Let b(i) = -2*i + 4. Calculate b(s).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -19*c. List the prime factors of g(-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 216\/72*2\/(-10).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of f**2\/2 + 2*f - 2. Determine m(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.11000104 + -0.11. What is j rounded to seven decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kmov when four letters picked without replacement from mookv?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -7903000 rounded to the nearest one hundred thousand?\nAnswer: -7900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -178*q + 2241. Give l(11).\nAnswer: 283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 12*o**2 + 33*o - 19. Is c(-20) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 360 divided by -30\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -3, -47?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47 - -57. Let p(y) = 14*y**2 + 4*y + 3. Let v be p(-1). Calculate the highest common factor of v and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*w**3 - 301*w**5 + 2*w**3 + 47 - 200*w + 389*w - 191*w wrt w.\nAnswer: -6020*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -622 (b) -6 (c) 0 (d) -4\/3 (e) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -86 + 4048\/47. Is t equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 359397 and 46903?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61074756?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -175*o**3 + 2*o**2 + 6*o - 575. Let t(w) = -349*w**3 + 5*w**2 + 14*w - 1157. Let k(a) = -3*t(a) + 7*z(a). Differentiate k(n) wrt n.\nAnswer: -534*n**2 - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2189025?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -97 + 106. Suppose -14*t + a = -11*t. Suppose -h + t*g + 7 = 0, 4*h + h + 3*g = 17. Sort h, 2, 3 in decreasing order.\nAnswer: h, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1286213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 3, 2*l - f - 6 = 3. Let j(a) = a + l*a - 2*a + 3*a. Let n(d) = 3*d. What is 3*j(k) - 5*n(k)?\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 + (1 - 0) - (3 + 3)) + -6.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (28\/2)\/(35\/(-280)). Let r = p + 120. Does 2 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(1331)*1 - sqrt(33)\/(sqrt(3) - sqrt(3)*-1))**2)*-1.\nAnswer: -4871\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 8:54 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 44845 divided by -389\nAnswer: -44845\/389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/695 - -36832\/2085. Calculate the common denominator of j and -13\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42 - 40. Suppose a - 20 = -4*a + 5*y, -p*y = 3*a - 37. Suppose -96 = a*j - 11*j. Is j a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 2*t = -75. Let u(d) = -d**3 - 14*d**2 + 15*d - 6. Let n be u(t). Let k = 28 + n. Calculate the remainder when k is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of -g**5\/270 - g**4\/54 - g**3\/27 - g**2\/2 + 4*g. Let l(q) be the first derivative of a(q). Factor l(i).\nAnswer: -2*(i + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -534 + 532.4. Let w = -0.028 + 2.028. Which is the second smallest value? (a) -4 (b) -3 (c) m (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 693, 5541, 18703, 44337, 86601, 149653, 237651, 354753?\n\"Answer: 693*t**3 - t**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.13 * -16929\nAnswer: -2200.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -88 - -106. Suppose 23*w - 2425 = a*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 + 5 + 10)*(2*m - 6*m + 3*m - 1).\nAnswer: 10*m + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7482569 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/5 of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-60*n + 29*n**2 + 60*n)*(5*n**2 - n**2 - 2*n**2).\nAnswer: 58*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/231417 and 95\/18?\nAnswer: 462834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 784 by 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -96\/31, -0.3, 0.45, 1\/2, 72 in decreasing order.\nAnswer: 72, 1\/2, 0.45, -0.3, -96\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0475 and -2.82.\nAnswer: -0.13395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 2*i - 146, 3*n + 4*i - 24 + 136 = 0. Let f = -25 - n. Let y = 61 + -30. Calculate the remainder when y is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a + 3 - 23 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 87 (b) 3 (c) -7 (d) -0.5 (e) 32\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 1\/5 (b) 4 (c) 0 (d) -75\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/15))**31\/(((o**(-5)\/o)\/o)\/o)**(1\/29) assuming o is positive.\nAnswer: o**(1918\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11 + -46.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -21d75c (base 14) to base 3\nAnswer: -2011111010200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 20, 44, 74, 110?\n\"Answer: 3*s**2 + 15*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b18da1 (base 14) in base 10?\nAnswer: -13508657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and 55?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(1\/3)*r**(-25\/6)*(((r*r\/(r\/(r\/r**(4\/15))))\/r)\/r)\/r**(-2))**1 assuming r is positive.\nAnswer: r**(-53\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -s + 14 + 44, 0 = s + 2. Let x be (-3)\/g*580\/(-16). Are -0.1 and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 399776*a = 399747*a + 2262 for a.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 243001?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -161*m**2 + 24*m - 7. Let u be a(-8). Let o = u + 210171\/20. What is the common denominator of (462\/280)\/((-24)\/50) and o?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 178*a**3 - 57.\nAnswer: 534*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/2646 and -187\/34398.\nAnswer: 34398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -149, 4 in descending order.\nAnswer: 4, 2, -149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -788 - -941. Let y = -34 - 41. Let w = a + y. What are the prime factors of w?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of -828*z**5 - 7149*z - 2135. What is the derivative of f(t) wrt t?\nAnswer: -16560*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -6*p**2 + 96*p - 277. Determine y(18).\nAnswer: -493","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1894739?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*l - 84*l + 239*l - 81*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(6*(sqrt(1331) - (-5 + (sqrt(1331) + 4*sqrt(1331) - sqrt(1331)))))**2*6.\nAnswer: -285120*sqrt(11) + 10371456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 3 (c) -326.8 (d) -2\/3 (e) 0.4 (f) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (2 + -4 + 1)*-48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2550 divided by -85.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1289, -2583, -3877?\n\"Answer: -1294*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5862230 and 5329300.\nAnswer: 58622300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 229*m + 223*m + 57 = z, 15*z + 5*m - 73 = m for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 6*g - 8*g - 27436, 2*o + g = 27436. Calculate the greatest common factor of 38 and o.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u**3 + 160*u**2 + 340*u - 694. Calculate d(82).\nAnswer: 290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 373056990.\nAnswer: 2, 3, 5, 12435233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75284014.\nAnswer: 2, 13, 23, 67, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11877 and 5143.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s - 10*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-170)\/272*((-20)\/(-25))\/(-2)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 825*m - 5*q = 616 + 1109, 245*m - 5*q = 249*m + 67 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccudccczd. Give prob of picking 1 z, 1 d, and 2 c.\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - 1 + 1)*(-247*g**4 + 145*g**4 + 114*g**4 + 173*g**4).\nAnswer: -370*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*y + 2 = 67*y. Find z, given that -109*z**4 + 21*z**5 + 9*z**2 + 52*z**4 - 7*z**2 + 24*z**3 + 10*z**y = 0.\nAnswer: -2\/7, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -12*g**3 - 20*g**2 - 43*g - 23. Let k(p) = -17*p**3 - 30*p**2 - 64*p - 35. Let j(m) = 5*k(m) - 7*x(m). Is j(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 7538*v - 15067*v + 7530*v. Let y(i) = -7253*i. What is y(q(w))?\nAnswer: -7253*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 7 = -5*r. Let j(u) = -5*u**3 + 5*u**2 - 1. What is the units digit of j(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 107 - 108. Let d(a) be the second derivative of 7*a**4\/12 - a**3\/2 + a**2\/2 + 16*a. Let v(t) = -4*t**2 - t**2 + 6*t**2 - t. Determine n*d(l) + 5*v(l).\nAnswer: -2*l**2 - 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3043817?\nAnswer: 7, 434831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/i**(-10\/3)*i)*i)**(-2\/7) assuming i is positive.\nAnswer: i**(20\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 45333469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 less than or equal to 39407221?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of 0*g**2 + 0*g**3 + 0 + 0*g**5 + 25\/42*g**7 + 19*g + 0*g**6 - 3\/4*g**4. What is the third derivative of b(j) wrt j?\nAnswer: 1500*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1648 is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1012 and 220.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3492 and 3456.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 - 17.9. Let t = -1.2 - g. Let l = -0.69955 + t. What is l rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2*1101\/(-4))\/9. Let s = -575\/9 + r. Find the common denominator of (3\/(-8))\/((-27)\/484) and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1409\/451 smaller than 2.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 - 9*i**2 + 9*i - 6. Let v be d(8). What is the third derivative of -a**v - 4*a**2 + 0*a**2 - a**5 - 3*a**5 wrt a?\nAnswer: -240*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 85529*d**2 + 4*d**4 - d + 85543*d**2 + 8 - 171059*d**2 to the form p*d**2 + s + z*d**4 + j*d + w*d**3 and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.670000556 - -3.67. What is y rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-4*sqrt(147))\/sqrt(3))\/sqrt(7).\nAnswer: -4*sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 + 4*l + 4. Let z = -8 + 13. Let u be c(z). Which is bigger: -3\/4 or u?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5140045 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5\/6 (b) -1123 (c) -1\/425 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -108232, -433009, -974354, -1732309, -2706916?\nAnswer: -3898217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -35b3943 - 5?\nAnswer: -35b3948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-51) + (-4797)\/119187\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 4*x + 497, -4*s + 3*s - x - 502 = 0. Is -501 at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(68) + 2*sqrt(68) - sqrt(68)))**2.\nAnswer: -24*sqrt(17) + 281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j - 3*t + 34, -7*j - 53*t - 54 = -8*j - 58*t for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((-5*(-4*sqrt(121) - sqrt(121)))\/(sqrt(77)\/sqrt(343)) + 0)**2.\nAnswer: 336875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1010210112 (base 3) to base 4\nAnswer: 11132303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 458.392 micrometers?\nAnswer: 458392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2146 divide 1177055248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = -k - 5*b, 2*k + 0*k - 5*b = 86. Suppose k = 4*s + 2*p, 5*p + 5 = -5. Suppose 4*v - 2 = 150. What is the remainder when v is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 43 = -15. Let g(q) = -q**3 + 3*q**2 + 2*q + 2. Calculate g(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 218 - 217. Are o and 12\/13 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 - -0.3. Let u = 11.2 - -119.8. Let l = 134 - u. What is the second smallest value in 0, k, l?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 f when three letters picked without replacement from xxxzxxfzz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 0*i = -3*i - 10, 0 = 5*i - 10. Suppose r = -5*b + 3*b. Let c = 11 - b. Calculate the highest common divisor of 6 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 10*j - 11*j = 2, p + 9 = 4*j. Sort p, -35, -2 in ascending order.\nAnswer: -35, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 14*w**2 + 4*w + 3. Suppose 3*d = d + 14. Let v(p) = -p**2 + 6*p + 3. Let y be v(d). Is c(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 159301331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 287558.\nAnswer: 2, 143779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 d, and 1 t when three letters picked without replacement from {y: 4, l: 3, n: 1, t: 6, d: 1, q: 3}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-5) + (-56)\/(-49).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90981969.\nAnswer: 3, 13, 2332871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 355893285*y**4 - 44259890*y**2 + 4*y?\nAnswer: 8541438840*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*l**3*t**3 + 321*l**3*t - 1926*l**3 - 2479*l**2 + l*t**3 + 2*l*t**2 - 3*t**3 + 1469 wrt l.\nAnswer: 60*t**3 + 1926*t - 11556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = x + 3*x + 10, 9 = -3*x. What is the highest common factor of 4 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of -y**7\/7 + 107*y**5\/5 - 5*y**4\/4 + 2542*y**3\/3 + 8575. What is the third derivative of z(n) wrt n?\nAnswer: -120*n**3 + 2568*n - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - d - d**4 + 2 + 3*d + 0*d**4 in the form q + o*d + w*d**4 + r*d**3 + a*d**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6226 + -3287. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23210404 + 0?\nAnswer: -23210404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.074275*-1.2\nAnswer: -0.08913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (7\/(-4))\/((-11)\/(-660)). Let b be 3*(-14)\/r*(9 - -1). Solve -14 = 2*u - 2*g, u + 0*g = b*g - 19 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 4*y**3 + 6*y**2 + 2*y - 3. Let p = 176 - 174. Let o(c) = -3*c**3 - 6*c**2 - c + 4. Let t(w) = p*r(w) + 3*o(w). Calculate t(-5).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 4*y - 7 = -3*z, y = -3*z - 5. Let l be (20\/(-4))\/(0 + z). Suppose 7 = 3*t - 2*d, -3*d = -l*t + 6 + 6. Solve -10 = -t*v + v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/(-6)*(-1)\/14. Suppose 3*i = -4*k + 4, -k - 4*k = -5*i - 5. Put i, -3, m in decreasing order.\nAnswer: i, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*v**2 - 4*v - 2*v**2 + 23*v**2 - 13*v**2 + 2*v + 58 in the form h*v**2 + w + r*v and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 298.44 years?\nAnswer: 29.844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (5 - (4 + -3 + -3 + -6))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(-13)\/((-104)\/(-24)). Which is the nearest to 1? (a) 1\/9 (b) -4 (c) q (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8271905 is divided by 476?\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x + 24. Let v be t(-11). Let d = v + 21. Solve -5*o - 32 + d = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175624 is divided by 784.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2. Let g(a) = 351899*a + 3. Calculate g(k(z)).\nAnswer: -351899*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/((72\/4780170)\/(2\/(-5))) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -1 + (-16)\/((-3360)\/(-182))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppbpnbbbnvpbbbpobp. Give prob of picking 2 v.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in 4, -0.17, -134, -3\/4, -0.5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 8547084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186*r + 1567 + 3661 = 1352 - 3378 for r.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -941, 4771 in descending order.\nAnswer: 4771, -2, -941","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/2220 and 89\/90?\nAnswer: 6660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 997, 2, 0.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 129 + -114.1. Let m = k - 15. Are -6 and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11142 divided by 2?\nAnswer: -5571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + 5*v**2 - 65*v - 11. Calculate f(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f. Let s(o) be the third derivative of -o**5\/60 - 23*o**3\/6 + 7*o**2 + 15. Give s(k(z)).\nAnswer: -z**2 - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-380)\/(-3)*(-552)\/(-115) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -42, -55, -88, -147, -238, -367, -540, -763?\n\"Answer: -w**3 - 4*w**2 + 6*w - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 98 and -0.813?\nAnswer: -79.674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 32*d**3 + d**2 - 2. Let s be m(1). Find the third derivative of s*y**5 + 104*y**5 - 2*y**2 - 42*y**5 - 6 + 9 wrt y.\nAnswer: 5580*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -1248?\nAnswer: -124.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*h**3 + 39*h**2 + 41*h**2 - 119*h**2 + 40*h**2 + 3.\nAnswer: -19*h**3 + h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhjqjqhj. Give prob of picking 2 h, 1 q, and 1 j.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(20)*2)**2.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (m**2 - 5*m**2 + 2*m**2)*(0*m**2 + 0*m**2 + m**2) - 14427*m**3 - 14*m**2 + 14427*m**3 - 62*m**4 as v*m**4 + h*m + i*m**2 + n*m**3 + t and give i.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/43563 and 23\/3.\nAnswer: 43563","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -414 divided by -18?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of -44*f**2 + 0 - 10\/3*f**3 + 0*f - 55\/24*f**4. What is the first derivative of r(c) wrt c?\nAnswer: -55","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.80198481 to 0 decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -416*l + 20*l + 8172 = 58*l for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -v**6\/3 + v**4\/4 - 10*v**3\/3 + 631*v**2 + 4503. Find the second derivative of q(f) wrt f.\nAnswer: -40*f**3 + 6*f - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21551?\nAnswer: 23, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**2\/2 - 2562*c - 3281922 = 0.\nAnswer: -2562","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (3 + 0 + sqrt(2880))**2.\nAnswer: 144*sqrt(5) + 2894","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 - 5*l + 8. Calculate the remainder when z(4) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17878315 or 17878313?\nAnswer: 17878313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 786 + -786. What is the closest to d in 0.5, -1\/37, -0.4?\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000251 rounded to seven decimal places?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 56 and 393632?\nAnswer: 2755424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 3*u + 5 = 0, 141*u - 16 = -3*q + 145*u for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -153*c**3 + c**2 - c - 1. Let p be r(-1). Let s be (-204)\/(-14) + (-196)\/343. What is the highest common divisor of p and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 552 = 1238*y - 1169*y for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.25 + 1.391. Let r = c + 78.859. Let k = -78.999934 + r. Round k to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 215 divided by -4?\nAnswer: -215\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -1891344.\nAnswer: -1\/315224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.17 (b) 3\/7 (c) 3.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-5)*31\/(651\/(-105))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -64. Let r = i + 308. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -c**2\/4 - 651*c\/4 = 0.\nAnswer: -651, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 5*s. Let v(n) = -1947*n. Determine h(v(a)).\nAnswer: -9735*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/17697 and 39\/782?\nAnswer: 814062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 - 26. Let l = -51 + 33. Let m = f - l. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n + 10209 = -87262. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/97833 and 8\/3.\nAnswer: 97833","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25084 is divided by 534.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 7*t**2 - 1. Give c(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1006*t - 21 = 999*t. Suppose -t*w + 23 = h, -h - 8 = 2*w - 28. Solve h*b - 42 = -0*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 2*p + 0*p = 5*p, 0 = 362*p - 183*p - 183*p - 20 - 0 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and -87285016.\nAnswer: -87285015.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4846 + -4925. Put -5, p, 5, -3 in descending order.\nAnswer: 5, -3, -5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -869.8702 rounded to zero decimal places?\nAnswer: -870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (36 + -36 + 13 + -12 + (-5 - -11)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 98848 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 the nearest to 6\/113 in 2\/5, 2171, 4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -151 + 150. Let j = -0.4 + 0.7. Which is the biggest value? (a) 18 (b) j (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 127 - 263\/2. Let c(h) = h**2 + 12*h + 11. Let f be c(-10). Find the common denominator of 23\/2*f\/(-12) and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 3*l - 12 = 0, 247*q - l = 245*q - 11 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 996 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 32*z**4 - 2*z**2 - 8 - 39*z**4 + 65*z**4 as q + g*z**2 + w*z**4 + o*z + b*z**3 and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 - q + 4. Suppose x = -x. Let k be w(x). Calculate the lowest common multiple of (-1)\/k + (-195)\/(-12) and 6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -591 and 0.1.\nAnswer: -59.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 344439799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (470\/(-615))\/47*45\/(-5)?\nAnswer: 6\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 5*t**2 + 4*t - 2. Let f(j) = -j - 1. Let y(s) = a(s) + 2*f(s). Let r be (-6)\/15 + 81\/15. What are the prime factors of y(r)?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 25*m**2 + 5*m - 31. Let l(k) = 38*k**2 + 8*k - 47. Let p = 38 + -43. Let s(q) = p*l(q) + 8*h(q). Differentiate s(t) wrt t.\nAnswer: 20*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31742?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -82*q**2 + 6*q + 47. Let f(j) = -67*j**2 + 5*j + 47. Determine 6*f(a) - 5*n(a).\nAnswer: 8*a**2 + 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h**4*q + 2*h**3*q*x - 12*h**3*x + 5*h*q*x + 51*h*q + 2*q*x wrt h?\nAnswer: 24*h**2*q + 12*h*q*x - 72*h*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1618.778mg?\nAnswer: 1.618778","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -2. Suppose a*z + 20 = 2*t + 4*z, 3*z - 18 = -3*t. Put t, 0, 4 in decreasing order.\nAnswer: 4, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3331 is divided by 145.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -2192766 to the nearest 100000.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 5 - 2*i**3 + 3*i**2 + 5*i**3 + i - 17*i**2 - 6*i. Let z be p(5). Solve -14 = 4*g + 2*q, 5*g + 0 = 2*q + z for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -1\/4 (c) -1\/5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -255*l + b + 7 = -256*l, -4*l = -5*b + 1 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 8*s**2. Let n(v) be the first derivative of 25*v**3\/3 - 10. Determine n(p(a)).\nAnswer: 1600*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 15*a + 12. Let y(p) = 29*p + 23. Let r(z) = -5*s(z) + 3*y(z). What is the units digit of r(18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -2.1. Let t = -310 + 310.4. What is the biggest value in t, -5, d?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.037 - 0.03641. What is b rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 8*k**3 - 3*k**2 - 5*k + 1. Does 25 divide v(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 68965484 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31448*d**6 - 11848*d**2.\nAnswer: -3773760*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of 2*m + 3 - 23\/6*m**3 + 87\/2*m**2. Differentiate t(v) wrt v.\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + 4*z**3 - 2*z + 1 + 9*z**3 + 2*z**2 + 0*z**3. What is the tens digit of c(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26*54\/(-117)*11\/6 + -10?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -2.7. Let t = d - -4.3. Suppose -2*k - 4*m - 78 = -80, -k + 5 = -2*m. Sort 2\/3, k, t in ascending order.\nAnswer: 2\/3, k, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-26)\/5 - 240\/(-24). Let f = -15 + 21. Which is smaller: f or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 61 = -5*k, 339*k + 75 = 336*k - 5*w for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 5*j + 25 = 0, -2*c + 25 = -5*c - 5*j. Solve z - 3*z = c for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 549?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 12) to base 7.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23934 + -10788. Let o = v + -4219. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 + 16*v - 14. Let u be k(15). Let y(m) = -4*m**3 - 11 + 11. Calculate y(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38532.\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 239964698.\nAnswer: 2, 119982349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) + (sqrt(228) - (sqrt(228) + 4*-2*sqrt(228))) + sqrt(228))\/(sqrt(12) + sqrt(300)*3).\nAnswer: 5*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xyaa when four letters picked without replacement from axylxgya?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 150*w + 39. Let u be x(-2). Let k = 256 + u. Put -14, k, -1 in descending order.\nAnswer: -1, k, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2490)\/(-25)*(9 + -4)?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 4, 2\/3, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 + v - 1. Let u(f) = -4*f**2 - 2*f + 7. Let s(n) = 3*h(n) + u(n). Determine s(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -10*g + 6*g. Suppose -4*s = -32 - g. List the prime factors of s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(44\/(-36)) + 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 140037, 140055, 140073, 140091, 140109?\nAnswer: 140127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 15 = 10*t. Let o(z) = 75*z**3 - 74*z**3 - 3 + t. Let g(k) = -3*k**3 - k**2 + k + 1. Let j(h) = -g(h) - 2*o(h). Factor j(c).\nAnswer: (c - 1)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 10*z + 154. Let o be b(-15). Let f(d) be the second derivative of 0 - 1\/2*d**o - 3\/2*d**2 + 0*d**3 + 4*d. Differentiate f(t) wrt t.\nAnswer: -12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 168801?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -181, -727, -1637, -2911, -4549?\nAnswer: -6551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 r when two letters picked without replacement from ejqeqqneeerqekejqqjq.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -822.9\nAnswer: 2468.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/7 and 1\/332379.\nAnswer: 2326653","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17 and 9860.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1781 + 1788. Solve -31 + z = 4*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t + 3*t + 9 = -3*k, 0 = -5*k + 5*t - 25 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 40997 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 51, -0.7214, 2\/5?\nAnswer: -0.7214","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of i**2*j - 87*i**2 + 2*j wrt j?\nAnswer: i**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(6*(-3 + sqrt(13)) - 3*(sqrt(13) + (-2 + sqrt(13))**2)).\nAnswer: -90*sqrt(13) + 414","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 17. Let j = -1370 - -1373. Solve -g - 12 - 6 = -s*h, -5*g - 6 = j*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 3. Let l(f) = -f**3 + 35*f**2 - 36*f - 164. Let c be l(34). What is the tens digit of m\/(4\/c*2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 29*p**2 + 26*p**2 + 2*p - 54*p**2 + 9 + 0. Calculate d(-6).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 93*d**2 - 182*d + 14. Calculate z(91).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xkssasxxxxkxs. Give prob of sequence kxs.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 15*h**2 + 7*h - 98. Let n be w(-14). Solve 57*l - 53*l - 4 = n for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.154117 millennia in decades?\nAnswer: 515.4117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 6, -2\/7, 309?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 - 36*q - 148. Let g be m(-31). What are the prime factors of (-56)\/g - -1 - -235?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*a + 1370 + 318 = 324 for a.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q + 3*q + q + 4*q - 4*q.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -21.15 times -0.11\nAnswer: 2.3265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.226, -2\/7, -0.03.\nAnswer: -2\/7, -0.03, 0.226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/2)\/((-3)\/(-2)). Suppose -4 = -5*r + 6. Let j be r\/(-8) + 6\/(-8). Is j < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 148 and 407?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k - 5. Let t = -18 + 21. Suppose -t = -4*c + 17. Let y be f(c). Solve -1 + y = 4*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 103, 19, -1, 7?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 7) in base 2?\nAnswer: -10111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 332 - -2?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1960?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*p + 135 = 24*p + 5*q, -5*q - 105 = -5*p. Solve -p*t - 32 = -32*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 3*k = 2*x - 34, 5*k - 155 = 5*x. Suppose 0 = 2*i - 3*b - 17 - 37, i - k = 4*b. Solve -4*u - i = -2*m, 4*m + u + 0*u - 3 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1021 (base 3) in base 2?\nAnswer: 100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -1 + (-14 - 4)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 3*a + 3334 = -19553, -4*o - 3*a + 18312 = 0. Does 15 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.05 - 9.25. What is the closest to 0 in 0, n, -2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {k: 3, e: 2, w: 4}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -21284750 divided by 8962?\nAnswer: -2375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.15 + -326181483353.\nAnswer: -326181483349.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of -v**6\/120 - v**5\/10 - 4*v**3\/3 - 295*v**2. Determine j(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -199 times -328.8?\nAnswer: 65431.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -604*y + 15738. Determine c(26).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a century in years?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(304) + sqrt(304)*3)*-3 + sqrt(304))*1*-3)**2 - (1*(3*sqrt(304)*-5 + sqrt(304))**2 + 5).\nAnswer: 271467","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 43*j + 1340 - 910 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d**3 + 59*d**2 - 28*d - 31. Give u(29).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -4*s - 74, 2*k + k = s + 86. Suppose -3*b + k = -b. Calculate the greatest common factor of b and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 1\/7, -5, 4, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.703 from -1206.\nAnswer: -1206.703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*f, 0 = -0*d - 2*d - 2*f. Sort -4, -17, d, -1.\nAnswer: -17, -4, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27628.\nAnswer: 2, 6907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 88795 or 2841465\/32?\nAnswer: 2841465\/32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4\/2 + 2358*l**3 - 3235034*l**2 + 1072776816*l - 103490661152.\nAnswer: -(l - 2146)**2*(l - 212)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 68*f - 1859. What is the hundreds digit of s(46)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1456155?\nAnswer: 3, 5, 32359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16240 = -243*v + 823*v for v.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + -1)\/(60380\/3019 - (1252\/66 - -1)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 2\/45725?\nAnswer: 2\/45725","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d - 2*d + 3*d + (-3*d + d + 0*d)*(0 + 4 - 3) + 0*d + d - 13*d - 8*d + 8*d - 12*d - 3*d + d + 0*d.\nAnswer: -27*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 2*h + 7 = 0, 0 = 2*f + 3*h + 5 - 2 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, v: 5, n: 2}. What is prob of picking 4 v?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 132 and 384.\nAnswer: 4224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 12:31 PM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 7*i + 55. Determine q(-10).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 15, w: 3}. What is prob of picking 3 o?\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125000 = 4*k + k. Round k to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g + 86. Let w be d(0). Let n = w + -84. Solve n*t - 1 = 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*v = 42*v - 54. Solve 2*t = -0*t - v*n + 5, 5*t - n - 21 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -152400 divided by 20?\nAnswer: -7620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + v = -9 - 1, -4*i + 4*v = -24. Suppose -i*d = -3*q - 3*d + 15, -4 = 2*q - 4*d. Is (q\/(-5)*1375\/10)\/(-2) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 4*v - 18 = 0, -2 = -5*o + v + 3*v. Find the third derivative of 13*b**3 - 43*b**2 - 2*b**5 - 52*b**6 - 4*b**2 + o*b**5 + 47*b**6 wrt b.\nAnswer: -600*b**3 + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/18 + (-3)\/(-36)*2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (11 + -9)\/(2\/3). Solve -7*w + 16 = -2*w + b, f*w - 3*b = 24 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -15, 6, 3, 0.1, 28?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -68723, -63280, -57837?\n\"Answer: 5443*n - 74166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 4*z + 0 - 14 - 6. Let p(v) = -16 + 5 - 4*v + 82 - 8*v - 10. Let n(q) = -3*p(q) - 8*s(q). Differentiate n(w) with respect to w.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1451095179.\nAnswer: 3, 67, 101, 71479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -5\/3*o**3 - 2*o - 17 - 5\/2*o**2 + 1\/4*o**4. Does 2 divide g(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 - 8*a + 7. Let x be (20\/25)\/((-2)\/(-10)). Suppose i + 3 = 0, x*i + i + 55 = -5*s. Calculate g(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -185 divided by 5\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 89137*a**2 + 11*a + 9179058?\nAnswer: 178274*a + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(55)\/(1*sqrt(605)) - (3 + -2*sqrt(1584))**2).\nAnswer: -19035 + 4755*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-24*x + 5 + 7 - 14)*(-3 + 2 + 4) as h*x + b and give h.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -7*k - 3. Suppose -3*u - 8 = -4*i, -i - 2*u = 3*u + 21. Let c be r(i). Solve 5*s - 10 = 0, s = c*p - 3*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*t - 105*t = 868. Calculate the remainder when t is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 - 858*a**2 + 829*a**2 + 922*a**2 as y*a**2 + k + u*a and give y.\nAnswer: 893","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1715.9064 months in decades?\nAnswer: 14.29922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9581 and 169.\nAnswer: 124553","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.728 times -0.03?\nAnswer: -0.17184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7797 + -7797. Let t = 0.2 - 0.2. Let r = t + 0.1. Which is the nearest to -2\/5? (a) n (b) -5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1041321000 (base 5) to base 14.\nAnswer: -4393c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - -33. Let z = l - 71. Let p = z - -32. Which is the closest to -0.2? (a) -1 (b) p (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1022020221120 (base 3) to base 9.\nAnswer: 1266846","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*b**5\/3 + 70*b**4\/3 + 65*b**3 - 520*b**2\/3 - 700*b\/3 + 320 = 0. What is b?\nAnswer: -3, -2, 1, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 - (6 + 580))\/(-1). What is the greatest common factor of c and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -223 and -96.\nAnswer: -319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -3*r**3 + 16*r**2 + 12*r + 3. Let n be m(6). What is the third derivative of 1819*j**6 - 3*j**3 - 1830*j**6 + 9*j**2 + 5*j**n - 5 wrt j?\nAnswer: -1320*j**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -50 or -41?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 5*k + 20. Let w be m(-4). Solve y - 3*x - 4 = w, 0*y - 4*x = -y + 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 20*q**2 - 21*q**2 + 1.\nAnswer: -q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -4) + (19 - 2945\/124)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of -v**4\/24 + 10*v**2. Let c(j) = 2*j**2. Calculate c(b(r)).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 60030 divided by -30015\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nxxq when four letters picked without replacement from {y: 7, k: 1, n: 3, b: 2, q: 1, x: 4}.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -6. Let v be 1 + d\/(12\/(-9)). What is the first derivative of -2*s**2 - v*s**2 + 2 - 8 wrt s?\nAnswer: -12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6)\/5*(-2640)\/6.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -198*1\/(-12)*4. What is the derivative of 2 - 40*x**2 + o*x**2 - 48*x**2 - 16*x**2 wrt x?\nAnswer: -76*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -673 + 1486. Is 47 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54227590 - 23*v + 182*v + 54227594.\nAnswer: 159*v + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*i - 4 = 23*i + 40*g - 46*g, -5*i - 5 = 7*g for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -24? (a) 0.9 (b) -0.4 (c) -2\/3 (d) 175\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, -2\/7, 116?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4004?\nAnswer: 2, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1580 and 3360?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (96 + 0 + 10)*(-1 + 7 - 2)*(r + r - r).\nAnswer: 424*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6, 12, 36, 90, 186?\n\"Answer: 2*a**3 - 3*a**2 + a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20006292 and 1220.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -5*d - 41, 6*z - 22 = 3*d + 4*z. Let s be 4*((-2)\/(-8) - (-12)\/d). Let g = 3 + -2.9. What is the closest to g in -1\/7, s, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/3 - -4 - (-36)\/(-27). Let i(u) be the second derivative of -7*u + 11\/12*u**s + 0 + 3\/2*u**3 + 0*u**2. Find the second derivative of i(x) wrt x.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 6*b + 8*b)*(4*b**4 - 4*b**4 - b**4).\nAnswer: -12*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c - 6. Let g be w(18). Suppose 0 = 6*a - 0*a - g. Suppose 3*m = -a*m + 10. What is the highest common factor of 16 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25320 and 10194120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 461859 to the nearest integer?\nAnswer: 680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 90\/(-3120)*-338*4\/156?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21 + 21 - 31*y + (-1 - 2 + 5)*(-24*y + 29*y + 36*y) + 1 - 1 - 2*y.\nAnswer: 49*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 145, 465, 1089, 2119, 3657, 5805?\nAnswer: 8665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1 - (70 - 68)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s - 2339*j + 154 = -2335*j, 75 = -5*s + 2*j for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9700000 rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/16 - (-27)\/12. Suppose 478 = 2*n - a*h + 7*h, 3*n + h = 707. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.1 (b) 2\/7 (c) -4\/7 (d) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.0731 - 1.5731. Which is the nearest to 0? (a) -2\/17 (b) s (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2)*w*w*w)\/(w\/w**(-2\/3)))\/(w\/w**(-11)*((w*w\/w**(1\/5)*w)\/w)\/w) assuming w is positive.\nAnswer: w**(-202\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -546 (base 8) in base 7?\nAnswer: -1021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 809, 64, 3, 4 in decreasing order.\nAnswer: 809, 64, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -246 divided by 1?\nAnswer: -246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**2*d**3 - 9*c**2*d**2 + d**3 + 2*d**2 wrt d.\nAnswer: 6*c**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -30 + l**3 - 6 - 5*l - 12 + 36*l**2. What is the hundreds digit of h(-36)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -560641*j**3 + 2*j**2 + 39287 wrt j?\nAnswer: -3363846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(sqrt(16) + sqrt(4) + sqrt(4)))\/(sqrt(16)\/(sqrt(24)\/sqrt(3))).\nAnswer: sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 100400644 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/36)\/o**(-12\/5))**(2\/23))**33 assuming o is positive.\nAnswer: o**(209\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of 5\/6*n**3 - 3\/2*n**2 + 0 + 4*n. Let i(o) = 6*o - 3. What is 4*a(y) - 3*i(y)?\nAnswer: 2*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fourty-four fifths of a microgram?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -c**6\/180 - c**5\/90 - 24*c**2. Factor w(a).\nAnswer: -2*a**2*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-36)\/126 - ((-2)\/7 - 2). Solve -a*l = 2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 9*m + 13. Let h be u(3). Let q be 110\/(-6) + 4\/12. Let z = q + h. Does 6 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of -r**4\/12 - 7*r**3\/2 + 9*r**2 + 21*r. Let k be x(-13). Let a = 307 - k. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - 1486171a8?\nAnswer: -148617201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -10*p**2 - 18*p + 70. Let y(o) = -o**2 - 2*o + 1. Let d(x) = l(x) - 9*y(x). What is d(7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-5)\/(15\/(-4)))\/((-1)\/(-198)).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.4 + -5. Let f = c - -1. Let m be (-108)\/231 - (-18)\/63. What is the second biggest value in f, m, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15568*z**2 - 3598.\nAnswer: -31136*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 - 9*z + 1. Determine d(10).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1 + -5 + sqrt(7200)*-1 + 0))**2.\nAnswer: 18000*sqrt(2) + 180900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 16*p**2 + 3*p - 2. Let z be h(1). Let n = z - 19. Let q = -1417\/7 + 203. Which is the third smallest value? (a) n (b) 1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37311664 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 22, -4, 1\/4, -0.5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 328352, 328339, 328308, 328253, 328168, 328047, 327884?\nAnswer: 327673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 minus 0.99?\nAnswer: -31.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1824 + 123?\nAnswer: 2047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 126000 = -91*q. Calculate the highest common divisor of 210 and q.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5*s + 64 = 5*c, -5*s = -4*c + 89. Let a(q) = 2*q + 36. Let t be a(s). Let i(r) = r - 1. Let l be i(-5). Is l greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (47 - 364 + 1637 + 359 + 734)*(-4*m**3 + m**3 + 6*m**3) to v*m + n*m**3 + x + y*m**2 and give n.\nAnswer: 7239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -19*l**2*t + 3666*l**2 - l - 72*t**3 + 5 wrt t?\nAnswer: -19*l**2 - 216*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 5*t = -15. Suppose -2*f = -3*f + t. Suppose -5*j + f = -0*j. Let d(k) = -3*k. Give d(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4 = -o, 3*o - 6 = -4*y + y. Let v(r) = -r - y*r + 2*r. Let u(w) = 30*w - 21*w - 20*w. Give u(v(g)).\nAnswer: 11*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1770956.5124 rounded to the nearest 10?\nAnswer: -1770960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 9 + -6 - (-11 + -5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of 23*t**5\/20 - 8*t**4\/3 + 23*t. What is the third derivative of u(x) wrt x?\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + i = 4*f - 110, 132 = 5*f + i. Suppose 24*p - f*p + 6240004 = 0. Let o be p - (1\/2)\/((-1)\/(-4)). What is o rounded to the nearest 100000?\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23253034619 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2383 - -0.243358. Round p to 4 dps.\nAnswer: 0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n*n**(-10\/3)*n)\/n)\/n)**(4\/23)*(n\/n**(2\/27))**(-3\/23) assuming n is positive.\nAnswer: n**(-109\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 91368542?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1280986 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 67 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32364 is divided by 135?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 42*o - 6. Let a(z) = -24*z + 3. Calculate -10*a(u) - 6*y(u).\nAnswer: -12*u + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.039 and 17.52?\nAnswer: 0.68328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20480 by 5.\nAnswer: -4096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -436*r - 260993. Determine w(-599).\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -479 - -476.99. Let n = z - -2. Round n to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -d - 10, p + 17 = -d + 19. Let c be (-4 + 1)*4\/(-8). Let z = 2 + -2.5. What is the closest to 1 in c, z, d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8112957?\nAnswer: 3, 41, 71, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 448*m**2 - 1153 wrt m.\nAnswer: 896*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 4*t - 84, -r - 2*t + 25 = 3*t. Let y(c) = -7*c**2 - c**3 - 3 + 1 - 27*c - 2 + r*c. Let f be y(-6). Solve 3*i + f*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10202 + 10?\nAnswer: -10122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6720 + -2329. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*s**2 + 35*s**2 + 19*s**6 - 66*s + 66*s wrt s?\nAnswer: 2280*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3)*2*-5*5)**2.\nAnswer: 7500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 185041.15 days to weeks.\nAnswer: 26434.45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-873)\/(-18) + -13 - (-2200)\/(-50).\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5\/6 + -1\/2. What is the smallest value in p, -0.5, 8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1564831 is divided by 1759?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.5 + -0.1. Let q = -73 + 72.5. Which is the second biggest value? (a) -1 (b) q (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 137 - 124. Is b a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 94, 123, 180, 277, 426, 639, 928?\n\"Answer: 2*l**3 + 2*l**2 + 9*l + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 z when three letters picked without replacement from khgnzhhgzh?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 780500 to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-4)*((-13)\/(130\/90) + 11). Let p be ((-2)\/12)\/((-201)\/27). Which is smaller: h or p?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -250 = 8*r - 1130. Suppose -49 + 313 = 4*p. Let k = r - p. What are the prime factors of k?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -i**3\/3 - 5*i**2 + 23*i - 5. Let j be o(-12). Let f be 0\/(-25) - (-20)\/j. Is -0.1 at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 4967.89 + -4923. Let z = g - 45. What is the closest to -2\/7 in 2, 0.5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + (-1 - (-2)\/2). Let n be -4*(j - 12\/16). Suppose -c - n = -2*c. What is the least common multiple of c and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -9 - (0 - (1 - -3))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 32 = -2*y, -19*q + 68 = 5*y + 372 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of -47*c**5\/30 + 2*c**2. Let s(a) = -99*a - 117*a + 215*a. Calculate f(s(w)).\nAnswer: -94*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/(-21) - -1 - 3686\/7. Let w = -260 - l. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.15 and 0.113.\nAnswer: -0.01695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 19 + 69. Suppose -3*y + l = -0*y + h, -5 = h. Suppose y*c = 273 + 2. List the prime factors of c.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8604, -26875, -45140, -63399, -81652, -99899, -118140?\n\"Answer: 3*z**2 - 18280*z + 9673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/7 (b) 4 (c) 0.1 (d) 1 (e) 3\/26\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -16*m + 4. Let u(i) = -15*i + 3. Calculate 4*a(p) - 5*u(p).\nAnswer: 11*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 22536\/39 - (-6)\/39. What is the highest common factor of o and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -0.078497?\nAnswer: 0.313988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + 14*d - 22. Let h = 4 - 20. Let i be k(h). What is the greatest common factor of i and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**2)\/(z**(-1)\/z*z*z)*(((z**5*z)\/z)\/z*z)\/(z*z**(-6)*z))\/((z**(-1))**9\/(z\/(z\/z**3)*z*z**(-4))) assuming z is positive.\nAnswer: z**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 458 + 182. Does 40 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*g - 22*g - 917148 = -2*l, 4*l + 2*g - 1834282 = 0. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24004079?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -386, -3, -15, -21 in ascending order.\nAnswer: -386, -21, -15, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 26 = -10, 2*z + 8 = -2*h. Let r be z + -1 - 36\/9. Let i be ((-15)\/4)\/(2 + r). Put i, -0.1, 5 in increasing order.\nAnswer: -0.1, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 434813451.\nAnswer: 3, 67, 2163251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 10. Let t = x - 2.99936. Round t to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12841, 25658, 38461, 51244, 64001, 76726?\nAnswer: 89413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.29 times 77?\nAnswer: 1793.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -40652, -40697, -40800, -40967, -41204?\n\"Answer: -p**3 - 23*p**2 + 31*p - 40659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11150, -43862, -98146, -174002, -271430, -390430, -531002?\nAnswer: -693146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/18 + 83\/(-6). Let g = v + -10. What are the prime factors of (1\/2)\/((-2)\/g)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2698963 is divided by 6599?\nAnswer: 6571","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-204)\/374 - 56\/(-22). Solve 0 = 5*m + 24 - 14, c*m - 5 = -3*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -39*d + 54*d + 135 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -250 - -250. Suppose 4*u = -k + 329, -4*u + r*k + 326 = -2*k. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 132*a**2 - a - 3. Let l = -65 - -49. Let k = -12 - l. Is x(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -643655, -5149060, -17377991, -41192204, -80453455, -139023500, -220764095?\nAnswer: -329536996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((-2 + sqrt(1216) + 1 + sqrt(1216) + sqrt(1216) - sqrt(1216)) + sqrt(1216) - (sqrt(1216)*-1 + sqrt(1216))*1))**2.\nAnswer: 96*sqrt(19) + 10948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -79 + 79. Suppose -9*m + 6*m - t + 113155 = 0, -5*m - 2*t + 188593 = g. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -32 - 8 + 3*k - k + 270*k**2 - 313*k**2 wrt k.\nAnswer: -86*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -2*u - u - 6, 3*s = -2*u + 6. Solve s*a + 4 = -5*d, a = -a + d - 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 256*d = 3*g + 252*d - 45, -18 = g - 3*d - 48 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 12*u**2. Let k(y) be the third derivative of y**5\/30 - 5*y**2. What is k(i(r))?\nAnswer: 288*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/189 and -16\/693.\nAnswer: 2079","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1565 > 245?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -268033 (base 11) to base 9.\nAnswer: -710888","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/2)\/((-7)\/420). Let w be z\/24*1*16. Suppose -w = -5*c + 4*c. Calculate the greatest common divisor of c and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/3 - ((-13596176)\/24)\/11. What is f rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13105 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.157, -1, -2\/5 in increasing order.\nAnswer: -1, -2\/5, -0.157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 68631041191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/(-16))\/(-12 - 9416\/(-784)). Solve 14*x - l = 21 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that w**3\/2 - 21*w**2\/2 + 147*w\/2 - 343\/2 = 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -3*y + 38 + 10, 4*f = 0. Suppose -3*i - 21 - 18 = -3*w, 4*i + y = w. What is the highest common divisor of w and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 28\/(-6) + 6\/9. Let y be (1\/3)\/(b\/(-24)). Suppose m + 20 = y*m. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((4\/(-32))\/((-2)\/4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 384 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13083 and 66661?\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0795664 rounded to three decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -n**2\/2 - n - 1. Suppose 8*o - 56 = 4*o. Suppose 6 = -o*z + 12*z. Let j(h) = 1. Give z*v(d) - 3*j(d).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffyffyffyyyyfyf. Give prob of sequence yfy.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvvv when four letters picked without replacement from {v: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + 201\/(-65))\/(-34 - 14749\/(-430))?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33 and 111.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 93769 >= 93770?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 5*f**2 + f**3 + 2 - 5 - f - 7*f + 3*f. Suppose -25 = -0*x + 5*x. Is o(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + 2)*8\/16. Let r be j + -2 + 4 + 0. Suppose -r*p = -n - 7*p - 675, -3*p = -4*n - 2677. What is n rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 92 - 9. Suppose -5*v + d = -3*d - 310, v - w = 5*d. Suppose 5*k = k - 2*b + 226, k - v = -2*b. Calculate the greatest common divisor of 14 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.08 - -0.02. Let l = 35 + -33. Let f be 2\/8 + l\/4. Which is the third smallest value? (a) f (b) 2\/3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5867 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 5. Suppose -4*c + 26 = i - 6*i, -r*c + 30 = -5*i. Suppose 3 = -2*a + 15. What is the remainder when a is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21942.\nAnswer: 2, 3, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/22 and -62\/33.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -683\/5 + 2317\/20. What is the common denominator of k and 4\/30 + 2 + (-2830)\/1650?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10 - (0 + (1 - 3)). What is the tens digit of ((-6)\/2)\/(g\/(-56))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 9*l - 284. Let d be q(32). Suppose f = -d*z + 1157, -z + 237 + 36 = -3*f. Is 287 < z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 756222757?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13.2? (a) -0.5 (b) -0.3 (c) -322\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 658381290 divided by 131676258.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by -218325.\nAnswer: -2\/43665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*x - 58570 = -454657. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-1) - 3*2. Let w(q) be the third derivative of -q**4\/6 + q**3\/2 + 31*q**2 + q. What is the tens digit of w(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 - 98 = 21*l - 16 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -17*n + 18. Let w(i) = -4*i**3 + 2*i**2 + 2*i + 1. Let m be w(-1). Let s be (-2)\/3 - (-13)\/(-3). What is the nearest to -3 in n, s, m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3 + ((sqrt(2057) + 0 + sqrt(2057))*3 - sqrt(2057))*5).\nAnswer: -1650*sqrt(17) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ygyg when four letters picked without replacement from {y: 2, g: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 2*j = 2, 5*b - j - 2 = 6*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5399800271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (22*70\/660)\/(28\/(-12))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 63*k**2 - 136*k - 152. Let t be b(-61). Let m = -140422\/9 + t. Which is smaller: -17 or m?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -4*h + 27. Let p(i) = i**3 - 7*i**2 - 13*i. Let t be p(h). Let s = t - 23. What is the greatest common divisor of s and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 t when three letters picked without replacement from dgltttgt.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 8*h**2. Let k(t) = -5*t + 7. Let c(d) = 11*d - 17. Let v(y) = 4*c(y) + 9*k(y). Let w(i) = 0 + 4 + 0 + i. Let u(a) = 4*v(a) + 5*w(a). Give u(x(f)).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16860 + 134*j**2 - 2*j - 132*j**2 - j**4 + 13329 to o*j**2 + a*j + l + z*j**3 + y*j**4 and give l.\nAnswer: -3531","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1046736 by 72.\nAnswer: 14538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 2:01 AM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -164016 or -1804170\/11?\nAnswer: -1804170\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -315.8, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p**2 + 52*p + 74. Calculate the remainder when 88 is divided by t(-16).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -10*c**3 - 5*c**2 - 3*c. Let r be g(-2). Suppose 0 = 6*b - r - 0. What are the prime factors of b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/43? (a) -2 (b) 7 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7573 = 155*q - 3590 + 933 for q.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 10 - 7 - (2 - -1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -13, -9, 1, 11, 15, 7, -19?\n\"Answer: -c**3 + 9*c**2 - 16*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.01 - -0.49. Suppose 4*t = -3 - 9. Which is the closest to -0.1? (a) -5 (b) f (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -209604, -838390, -1886376, -3353568, -5239972, -7545594, -10270440, -13414516?\n\"Answer: -k**3 - 209594*k**2 + 3*k - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/((-4)\/9))\/((-406)\/116)?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -258, -3 in increasing order.\nAnswer: -258, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 59, 193, 453, 881, 1519, 2409, 3593?\nAnswer: 5113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d**3 + 7*d**2*z**3 + 23*d**2*z**2 - 84*d**2 - 1045*d*z**3 - 4*d*z**2 - z**2 + 915 wrt d?\nAnswer: -6*d + 14*z**3 + 46*z**2 - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + 0 + (-89)\/3. Let c = r + 41. Find the common denominator of 99\/2 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 880255 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/4)\/(42\/(-1120)). Let i be 26\/10 - 16\/g. List the prime factors of (1 - (-3 - -4)) + i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2741473.8 rounded to the nearest one hundred thousand?\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201000 + 12?\nAnswer: 201012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (530\/(-159))\/(8\/(-6))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/182831 and 41\/10285?\nAnswer: 15540635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000009639 rounded to six dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 10*c**2 + 16*c + 3. Let n be y(11). Let m = 96 - n. What are the prime factors of m?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 f when two letters picked without replacement from {f: 1, g: 1, d: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 1213?\nAnswer: 1221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16816 + -4717. What are the prime factors of c?\nAnswer: 3, 37, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42829469 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - ((-4)\/(-3) + (-208)\/48). Solve k - t = -4 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1011011 (base 2) to base 11\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2400333292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + h + 216 = 0, -8*q + 3*q - 5*h - 220 = 0. Let c be ((-2)\/1 - q)\/1. Suppose 0 = -2*x - 5*b + c + 12, -5*b = -2*x + 43. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-108) - (-25)\/63?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3611 + -3606. Solve -2*v - 25 = 3*v, -4*m + v = -l for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 498.92 - 498.9. Which is the biggest value? (a) n (b) -11\/2 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 24 + 5*a**3 - 3*a**3 - 15.\nAnswer: 2*a**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -2.3, -47, 3?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67015?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*r = 23, 17 = 3*i - 3*r + 2*r. Suppose 3*j + 2*j - 5200 = -i*l, 0 = -3*l + 6. Is j\/9 + (-6)\/18 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 8*t**2 + 6. Let u be r(8). Suppose 0 = u*s + 10 - 58. Suppose 5*w - 8 - 2 = 0. Calculate the smallest common multiple of s and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 7*n - 50 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*s**2\/5 + 663768*s\/5 - 1327656.\nAnswer: 6*(s - 10)*(s + 110638)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/26 and -81\/242?\nAnswer: 3146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -73*m - 1103. Give a(-15).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1716 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: Simplify (sqrt(52) + -6*sqrt(832) - (sqrt(52) - 1*sqrt(312)\/sqrt(6)))\/(sqrt(8)\/(sqrt(2) - sqrt(10)\/sqrt(500))*1).\nAnswer: -207*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -397.6 times -3873\nAnswer: 1539904.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 64*g**2 + 3331*g + 66. Determine h(98).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d + 2. Let a be g(-2). Suppose 3*h = -15 - a. Calculate the remainder when (-53)\/h - (-2)\/5 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 2\/9 (c) -1\/7 (d) 355\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/45 at least 12.03?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -1, 9, 19?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -7*u - 2. Let a(t) = 4*t + 1. Give 11*a(b) + 6*i(b).\nAnswer: 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.01 - -0.67. Let n = y - 0.2. Round n to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 108.\nAnswer: 5\/108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 0.02 (b) 5 (c) 1 (d) -650\/41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 4*o - 31 = -3*m, -2*m - 4*o = -18. Calculate the greatest common divisor of 65 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 2*x - 2*x. Let s(o) be the second derivative of o - 1\/20*o**5 + 0 - 1\/12*o**4 - 1\/6*o**3 - 7\/2*o**2. What is s(x)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/8*2 - 216\/(-32). Suppose 0 = -4*i + k*i - 27. Let r(z) = -z**2 + 16*z. Does 7 divide r(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and -54175756147.\nAnswer: -54175756147.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*k + 71*k - 1432050 = 0. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22483*d + 21918*d - 44515*d.\nAnswer: -114*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 12. Let w = 3 + -3. Suppose w = -3*g - 3*s + 27, 4*g - 5*s + 9 = z*g. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 - 4 = -4*u. Let f = u + 7. Calculate the remainder when 3 is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -192054 + 9465\nAnswer: -182589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 5, 4 in descending order.\nAnswer: 18, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16511 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 4*t**2 - 4*t + 3. Let i(j) = -2*j**2 - 3. Let y be i(-3). Let h = 41 + y. Calculate the remainder when h is divided by k(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 18?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40074063 + 40074063 - 14*j**3.\nAnswer: -14*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 921979, 921980, 921981, 921982?\n\"Answer: j + 921978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 11*p**2 - 17*p + 11. Let c be h(-9). Suppose 4*b - 4*i - 180 = 0, -c*b + 4*b + 3*i - 70 = 0. List the prime factors of b.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 11 + 4 = 3*o, -4*o - 12 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*w - 132 - 220 = 0 for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 609702833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30335273*r**2 - 67404855*r wrt r.\nAnswer: -60670546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - t + 1319, 0 = -5*b - 2*t - 19 + 1337. List the prime factors of b\/10 - (-27)\/45.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 5124*j. Let n(w) = 2*w**2. Calculate m(n(c)).\nAnswer: 10248*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**2 - 11*s - 12. Let v be c(-4). Factor -6*g**4 - 6 + v*g**4 + 8*g**2 + 2 + 2*g**4.\nAnswer: -4*(g - 1)**2*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*d - 3*d + 8*d + 56*d**2 to the form r*d + k + g*d**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 109\/(-98 + 11446\/118)?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1276 minus 86?\nAnswer: 1190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-142)\/(-38)*(-51)\/((-8211)\/3059)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -119 - 1002*r**3 + 125 - 441*r**3 - 12*r wrt r.\nAnswer: -8658*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 71*s - 5*s - 239 + 1691 for s.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -0.4 (b) -6 (c) -11 (d) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(1\/6)*v**(-2\/7))\/((v*v**5*v)\/v**(-5)) assuming v is positive.\nAnswer: v**(-481\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-104 - (5 + -56)) + 18 + 0.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 5, -37, 4, -2\/17?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000001111000 (base 2) to base 11.\nAnswer: 3193","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = x + 18. Suppose -5*r + 93 = -27. What is the remainder when 6 is divided by 3\/2*r\/x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(98)*-3*1*6)**2*2.\nAnswer: 63504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -63? (a) -1\/8 (b) -0.051 (c) 5 (d) 120\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30364 is divided by 274?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8655112 and 3286.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -195 + 210. Let t be 1\/((6\/(-8))\/(-3)). What is the remainder when t\/(-8) - (-109)\/2 is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -11*d + 2. Let a be h(1). Let o be 6\/a*30\/4. Let m = -0.095 + 0.195. What is the nearest to -1 in o, m, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -913.3917 + 913. What is q rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 106, 2, -2176 in descending order.\nAnswer: 106, 2, -2176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1269247223?\nAnswer: 37, 34303979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, s: 4, i: 3, f: 1}. Give prob of picking 2 s and 1 i.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 4)*(3*d + 0 + 0) + 0*d + 14*d + 16*d.\nAnswer: 45*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 14 = x + 1, 2*x = -3*z + 15. Suppose 3*h - h - 56 = x. Suppose 4*l - 6*l = -h. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**4 + 0 + 0)*(21*q + 6*q - 17*q).\nAnswer: 20*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by 31\nAnswer: -11\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*t = -141*t - 39 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-98)\/(-5)*(-83)\/(-86 - 495). Determine j so that -8*j + 206\/5*j**3 + 0 - 108\/5*j**4 + k*j**5 - 72\/5*j**2 = 0.\nAnswer: -2\/7, 0, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = t + 384, -4*i + 261 = t + 15. Calculate the remainder when 263 is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 5 = 5*u. What are the prime factors of -20*(u - (-1)\/5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*c = 21*c - 338. Let r = -133 + c. Calculate the least common multiple of r and 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3474912 is divided by 150.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is 67908352920 rounded to the nearest one million?\nAnswer: 67908000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = 10*s - 9*s, 3*t = 3*s - 18 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.145 take away 93?\nAnswer: -80.855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 + 5*b + 3. Let u(s) = 1. Let p(t) = -r(t) + 2*u(t). Let q be (-4)\/((-20)\/15) - -2. Suppose j - q*w = -0*w - 10, -4*j - w = -23. Determine p(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6085 by 49.\nAnswer: -6085\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -427035513532 and 0.12.\nAnswer: -427035513531.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 38024 and 13346424.\nAnswer: 13346424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of -4*w**7\/7 - 7*w**3\/3 - 33*w. What is the second derivative of i(x) wrt x?\nAnswer: -480*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 4:47 PM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2 = 6. Suppose -k*x - 18 = -3*x. Put -4, -3, x in descending order.\nAnswer: x, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -r + 4*f, 3*f + 30 = 189*r - 193*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 0. Suppose -4*k + 2*h + 32 = 0, -4*k = -v*k - 4*h - 22. Suppose k = 4*j - 5. Solve -2*m = -3*m - j for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21071 (base 13) to base 4.\nAnswer: -32200103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1213 + -835. Is 12 a factor of (n\/(-90))\/((-3)\/240)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1610 divided by 667?\nAnswer: -70\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 36938875 to the power of 1\/2, to the nearest integer?\nAnswer: 6078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 45*v + 82*v - 132*v. Let p(s) = 101*s + 64*s + 54*s - 259*s. Calculate p(k(r)).\nAnswer: 200*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 29615 and 3897334.\nAnswer: 19486670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 46 - 43.3. Let a = -3 + q. Suppose 0*s + 9 = 4*s + 5*t, 0 = 4*s - 4*t. What is the closest to s in a, 1, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2484 and 216?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -258 - 266 + 5562*p + 524 as t + h*p and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/297*351\/78.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 27966 - 69135 = -p, -2*o + 2 = 0. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 3:41 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in 0, -0.2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of -8*p - 1\/6*p**3 + 0*p**2 + 0. Let r(q) = 7*q. Give r(i(n)).\nAnswer: -7*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 760 is divided by 49?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2 = 0, -h - 2*j = 2*h - 7. Let o = h + 1. Let q = -3 + 2.9. What is the closest to -1 in q, o, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1170 and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does -113155\/498 = 0.06?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1358633909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147932.\nAnswer: 2, 31, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 1913*u - 10. Let k be o(-3). Is k\/(-4) + 30\/40 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -26, -41, -62, -89, -122?\nAnswer: -161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2055*y**4 + 17711*y**2 + 149613669.\nAnswer: -8220*y**3 + 35422*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 539\/35 + (-6)\/(-10). Suppose a - 5*a + z = 0. Let d(n) = -3*n + 4*n + 2*n + a*n. Let j(p) = -2*p. Determine d(j(t)).\nAnswer: -14*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 18332951 a multiple of 169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(80))**2 - (4 + -4 + -3 + sqrt(5)).\nAnswer: -sqrt(5) + 723","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = c - 5*o - 38, 29 = 5*c + 3*o. Suppose 3*l = 3*w + 3, 3*l - 3*w - c = w. Let h be -5*l\/(-6) - 4\/(-2). Which is smaller: h or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(175))*-4 + sqrt(175) + -1 + sqrt(175) + -2)**2.\nAnswer: 140*sqrt(7) + 749","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + 3*d - 22. Calculate y(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -54 - -315. Suppose -i = n - 64, -4*n - 3*i + 0*i + h = 0. Is n 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 5:27 PM and 8:23 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101454754?\nAnswer: 2, 31, 1636367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -196.941? (a) 3 (b) 2\/13 (c) 0.55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2*y**2\/7 + 3698*y\/7 + 18540\/7 = 0.\nAnswer: -5, 1854","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-10)*(-13)\/((-234)\/(-12))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -7*g + g + 0*g - 6*g - 1. Let b(p) = p**2 + 2*p - 1. Let q(c) = 3*c**2 + 4*c - 2. Let n(x) = -2*b(x) + q(x). Calculate n(v(u)).\nAnswer: 144*u**2 + 24*u + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 416 - 414. Let i = -0.6 + 1. Is g at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 456202 is divided by 9494.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -8374661.13 to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 5*o - 1, -5*g + 5*o + 4 = -16. Let z(p) = p**2 - 2*p + 2. Let u be z(4). Let j be u + 10 - (-1 - -1). Solve -j = -g*i + 8*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*v - 0, -5*u + 5*v = -15. Solve 5*r - 3*p = -6, 0 = 2*r - 7*r + u*p - 8 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and 44924606104132.\nAnswer: 44924606104132.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.656 (b) 2\/5 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of 0*d - 8*d**2 - 1\/120*d**6 + 0 + 0*d**5 + 7\/24*d**4 + d**3. Factor i(m).\nAnswer: -(m - 3)*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10843)\/86744)\/((-2)\/1776).\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24330 and 18103953.\nAnswer: 181039530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*c**4 - 4*c + 4 + 12*c**4 + 17*c**4 + (c**2 + 0*c**2 + 0*c**2)*(-2*c**2 + 3*c**2 + 0*c**2) in the form k + m*c**4 + n*c**3 + s*c**2 + o*c and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -113 - -110. Let c be 56\/4 + u - 5. Solve -2*a = -5*t - c, -t - 3*a = -8*a + 15 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 10*t**2 - 16*t - 30. Give r(7).\nAnswer: 348","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 14. Let k(l) = 5. Let i(c) = 17*k(c) - 6*v(c). Let t(q) = -q - 8. Let h(r) = -1. Let y(f) = 5*h(f) - t(f). Calculate 5*i(m) - y(m).\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 34\/5 of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 6*z**2 - 96*z + 33. Determine k(16).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41757?\nAnswer: 3, 31, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-23 - 21*l + 23)*(952 + 13*l - 952)*(-4 + 11 + 0) to the form h*l**2 + i*l + r and give h.\nAnswer: -1911","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-18)*(q**(-18)*q)\/q)\/(q*q*q**(2\/3)\/q)**44 assuming q is positive.\nAnswer: q**(-217\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 5*a**2 + a - 2. Let z be 5\/10 + (-18)\/(-4). Let o be w(z). What is the remainder when 73\/o + 4\/6 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)\/(sqrt(6) + sqrt(36)\/(sqrt(6)*2)) + 0)**2.\nAnswer: 76\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3456 + -3453. Let l(m) be the first derivative of 0*m**4 + 0*m + 1\/20*m**5 + 17 - 1\/12*m**g + 0*m**2. Determine t so that l(t) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22211 + -2022?\nAnswer: -102010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-21)\/(1 - (-2)\/4). Let h = -18 - l. Let s = 7 - 12. Sort s, h, 2 in decreasing order.\nAnswer: 2, h, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/3 or 639?\nAnswer: 639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 1:45 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 8:13 PM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p + 6. Let g be q(-5). Let c = 2 - 25. Let d = c + 113\/5. What is the closest to d in g, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16732803 to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 8*d = -4. Solve 0 = -5*s + d*s - 5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23 + 22?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -456.69239 rounded to the nearest integer?\nAnswer: -457","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 683 + -680. Suppose 3*r - 17 = -k + 27, i*k = r + 82. Solve -6*a = -k - 1 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + q**2 - q - 3. Calculate the remainder when 28 is divided by a(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 5*sqrt(704)*-1 - (5 + sqrt(1331) + sqrt(1331) + 4)*6.\nAnswer: -172*sqrt(11) - 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/9, -26, -6 in increasing order.\nAnswer: -26, -6, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -8. Let k be 36\/(-27)*(92\/(-40) + 2). Which is the nearest to k? (a) j (b) -5\/4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146*f**2 + 9 + 138*f**2 - 9.\nAnswer: 284*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/784*4)\/(25\/1750)*(-6)\/100?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*9*(-28)\/(-63)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.2 - -2.2. Sort 1, -2\/13, o in increasing order.\nAnswer: o, -2\/13, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 5196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 17*r**2 - r - 13. Let i be w(-17). Solve 0 = 2*h - 4*a - i + 22, 0 = h + 3*a - 11 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-266)\/3192)\/(((-1)\/(-3))\/(80\/75))\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 90145373?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0067039 to four dps.\nAnswer: -0.0067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -7. Let n(k) = -2 + k**2 + 6 - q*k + 1. List the prime factors of n(5).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*t**2 - 6 + 42*t**2 - 19*t**2 + 129*t**2 to the form g*t + f*t**2 + s and give f.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 375750 is divided by 104.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 416 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 6987850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -6*j**2. Let d = 11 - 7. Suppose -f - 7 = -3*u - 1, -2*u = 5*f - d. Let q(z) = 5*z**2 - 1 + z**u + 1. What is p(q(b))?\nAnswer: -216*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of -8 - 9\/2*c**2 - c + 1\/3*c**3. Let i = 36 + -28. Give g(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2479214.\nAnswer: 2, 1239607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1368*a = -264*a + 68255 + 12337 for a.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -410*u + 410*u - 10*u**2 + 3*u**2 to the form c + r*u + j*u**2 and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13590 divided by -5.\nAnswer: 2718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12.26493 - 12.16493. Let v be (-1)\/(-5)*(-4 - 0). What is the closest to v in 1, h, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - ((-16 - -10) + (10 - 0))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of 2*g**3\/3 - 14. Find j such that m(j) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 2\/1836751955?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m - 1. Suppose 3*h + 48 = 6*h. What is the lowest common multiple of h and f(12)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -49, -492, -939, -1390, -1845, -2304, -2767?\n\"Answer: -2*s**2 - 437*s + 390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + r - 15 = -r, 0 = -5*r for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -651, 1, -7, -1203.\nAnswer: -1203, -651, -7, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 332745 to the power of 1\/2, to the nearest integer?\nAnswer: 577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0126803756 - -92020.\nAnswer: 92019.9873196244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 781438626?\nAnswer: 2, 3, 17, 163, 15667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sfkksskfkpgsggssg. Give prob of sequence fg.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3692 is divided by 34.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 143977049?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 104 + -516\/5. Suppose -43*t + 52 - 267 = 0. Sort t, z, -2 in descending order.\nAnswer: z, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1995 and 1890?\nAnswer: 35910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -12 + 42*x**2 - 11*x**2 - 9*x**2 - 10*x**2 - 13*x**2. What is b(7)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5341933 is divided by 190770.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24334?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 337376316 divided by -84344079?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28 + 32. Suppose w*y = -0*y + 80. Solve 0 = c - 5*c + y for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(1573))**2*6 - sqrt(1573) - ((0 + sqrt(1573))*-5)**2 - (-2 + (sqrt(1573)*-2*-2)**2)*-1)*-3.\nAnswer: 33*sqrt(13) + 14163","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 158814 = -d, 16*d - 17*d = 2. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 2843 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 3*q + 4. Let d be 24\/56 - 72\/(-224). Let y = 95 - 666\/7. Which is the closest to 1\/2? (a) y (b) d (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -169\/270 and 77\/65655?\nAnswer: 393930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 4*p**2 + 3*p + 4. Let n be 3 + 0*(-1)\/(-3). Let k be s(n). Suppose 16 = -k*f, 4*f + 18 = -g + 4. Solve -4 - g = -3*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*l + 52*l + 17 = -4 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6283518 + 0.87?\nAnswer: 6283518.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134441 is divided by 61?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -526*l**2\/3 - 525470*l\/3 + 1332.\nAnswer: -2*(l + 999)*(263*l - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 23*q - 19*q. What is the units digit of (-9 - -1) + 5 - 801\/q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 39, 78, 115, 150, 183, 214?\n\"Answer: -a**2 + 42*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 3*5*(-5*(sqrt(288) + sqrt(288) + 1) + -5))*-6*-1)**2.\nAnswer: 19958400*sqrt(2) + 234133776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/384 and -145\/3072.\nAnswer: 3072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (6 - (-2 + -1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/4, -2, -1\/8, -35.65, 0.02?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 0*b**4 - 56108*b**3 + b**4 - 2*b**4 - 4*b - 4*b**2 + 56107*b**3 - 19*b as s*b**2 + j*b**4 + n + w*b**3 + i*b and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 23 = -o - n, 0 = 4*n + 16. Solve 4*i - 3*v + o = 0, -2*i - 3*v + 8*v - 19 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -50?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 303*n. Let x(u) = u**2. Give p(x(i)).\nAnswer: 303*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1674 = -4*d + 5*d - 3*u, 0 = -2*d + 3*u - 3357. Suppose -2*f - 3867 - 2201 = 0. Let r = d - f. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 497, 522, 547, 572?\n\"Answer: 25*r + 472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + d + 6 = -7, -2*j + 14 = 2*d. Let i(f) = 3*f - 7*f**2 - 2 + 2*f**3 + 0*f**3 - 6*f + f**2. Is i(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22 - 45 - 5)*(-7 + 0 + 5 - 2*n**3) to z*n + q*n**2 + s + a*n**3 and give a.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 6*y**2 + 7*y + 7. Let m be t(-7). Let r = 11 - m. Solve -r*w = -2*q + 7 - 3, 0 = 5*w + 2*q - 4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 1 + -9 - (-3 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-6*(2*sqrt(125))**2 - (3 + sqrt(5) + 1 + -4 + (sqrt(180)*1 - sqrt(180)))**2.\nAnswer: 8995","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that a**5 + 3866*a**4 + 2752424*a**3 - 3866*a**2 - 2752425*a = 0.\nAnswer: -2925, -941, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 - 4. Let k be m(-2). Suppose 3*g + 4 = a + 14, -g = a + 2. Suppose o - g = -k. Put o, 0, 3 in ascending order.\nAnswer: 0, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14178, -14180, -14182, -14184, -14186, -14188?\nAnswer: -14190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211*b + 219*b = 10072. Suppose 5*w = 346 + b. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 4*q + 18. Let g(a) be the first derivative of 3 - 2\/3*a**6 - 4\/3*a**q + 0*a**5 + 0*a + 0*a**2 + 0*a**4. What is the third derivative of g(z) wrt z?\nAnswer: -240*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide (505\/21 - (-6)\/21)\/((-28)\/(-4032))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 2*r + 4. Suppose -2*k = 4, k = -r*s - 4 + 2. Solve -l - 5 = -s*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 8183545562?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -5*g + 3*g. Let a be (-2730)\/(-28) - (1 - (-3)\/(-6)). Suppose -a = -4*q - g. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14934 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*j - 3*j - 7 + 12*j)*(0 - 1 - 1).\nAnswer: -2*j + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 202202232313022 + 2?\nAnswer: 202202232313030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)\/(-2*sqrt(7))*6 + -5*(sqrt(2736) - (sqrt(2736) - sqrt(2736)*1)) + sqrt(2736))**2 + (1*sqrt(228)*-2 - sqrt(228))\/(4*sqrt(12)*3).\nAnswer: -sqrt(19)\/4 + 49419","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (0 - 10 - (-189 + 181)) + 15 + -1.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wkfefefeew. What is prob of picking 1 f and 1 e?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 720921421 and 196614933?\nAnswer: 2162764263","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}