diff --git "a/data/dm_maths/full_data_2/334_11255.jsonl" "b/data/dm_maths/full_data_2/334_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/334_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What are the prime factors of 16947?\nAnswer: 3, 7, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 76.2 * 0.0218\nAnswer: 1.66116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/(-5))\/(((-72)\/20)\/6). Factor 1\/3*i - f*i**2 + 0.\nAnswer: -i*(i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -274, -16, 2 in ascending order.\nAnswer: -274, -16, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (1 + -4 - -4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**6\/c**(-6))**(-4\/17)\/((c**(2\/3)*c)**(2\/9)*((c**(2\/7)*c)\/c)**(2\/17)) assuming c is positive.\nAnswer: c**(-610\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/4 (b) -0.02 (c) -23\/8 (d) 0.4 (e) 1 (f) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 7, 0, -4, 64 in descending order.\nAnswer: 64, 7, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9\/26? (a) 135 (b) -2 (c) 0.39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 25*u**3 + 68*u**2 + 19*u + 4. Give v(-4).\nAnswer: -584","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 444*u - 373*u + 51748 = -690*u for u.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -75 + 1288. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 234.6303 grams?\nAnswer: 0.2346303","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -149.1 - -149.1. Which is the closest to 1? (a) 2\/7 (b) 0.2 (c) j (d) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 23 + 21?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddx when three letters picked without replacement from tdxtttttdtttttdtt.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 1 = 2*k + 3, -3*w = 3*k + 3. Is w\/(-8) - 2\/(-16)*12774 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1315 (b) -2\/11 (c) 264\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 - 7*g**2 - 5. What is o(-5)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2722, -2736, -2758, -2788?\n\"Answer: -4*n**2 - 2*n - 2716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -5*m + 8*m. Let p be 67\/(4*4\/m). Is p at least as big as 66?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 1 + 0)*(-4*q**2 - 9*q**2 - q**2)*(-2 + 0 + 0) to the form y + h*q + i*q**2 and give i.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15776)\/(-320))\/17 - (-28)\/(-20)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**3 + 19*g**3 - 2*g**3.\nAnswer: 14*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 8*v**2 + 0*v**2 + 22 + v**3 + 10*v**2 in the form g*v**2 + y*v**3 + b*v + j and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**4 - 2*n**4 + 0*n**4 + (3*n**3 - 12*n**3 - 7*n**3)*(0*n + 0*n + 2*n).\nAnswer: -34*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g + 4. Let c be a(-4). Suppose 10 = -61*o + 60*o. What is the units digit of (c + (-60)\/25)*o\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72995*f - 1206 - 276385*f + 1206.\nAnswer: -349380*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 + 2*l - 6. What is s(4)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (13\/((-260)\/(-15)))\/((11\/(-160))\/(-11)). What is the highest common divisor of o and 96?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 306480955*t + 39 + 12*t**3 - 306480955*t.\nAnswer: 12*t**3 + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174 = 24*v + 318 + 420 for v.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4393 to the power of 1\/2, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.08 or -10?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3724947, 3724997, 3725079, 3725193, 3725339, 3725517, 3725727?\n\"Answer: 16*l**2 + 2*l + 3724929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**1)**(-2\/169)\/(j**(-4\/3)*j*j\/j**(-4\/3))*(j**(-6)\/(j\/j**0))**(-18) assuming j is positive.\nAnswer: j**124","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 241\/3 - 79. Let u(g) be the first derivative of g + 5\/8*g**4 + 2 + 1\/4*g**2 - i*g**3. Solve u(t) = 0 for t.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 437, -237, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 3 + 13*x**3 - 4.\nAnswer: 13*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 317951771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 3888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 105762261, 211524521, 317286781?\n\"Answer: 105762260*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 2, -5506, 5, -375, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3333 - 10103?\nAnswer: -13441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 u, and 1 x when three letters picked without replacement from {u: 3, k: 5, r: 4, x: 1}?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 189 (c) -0.1 (d) -3\/488 (e) 1\/2 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -1\/230*x**5 + 2*x - 1\/23*x**2 - 1\/23*x**3 + 0 - 1\/46*x**4. Find r such that b(r) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7586 is divided by 2525?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (134 + -236 - -145) + -56\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 11:19 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 352 - -1602. Let y = -1087 + s. Is y a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*h = -111*h - 915*h + 51927 for h.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of -5*x**6\/24 - 5*x**4\/4 - 5*x**3 - 37*x**2 - 2*x. Let m = -93 + 92. Let s(o) = -o**3 - o - 1. What is m*w(n) + 30*s(n)?\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*1812.8028\nAnswer: 543.84084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2. Let f(y) = -79*y. What is m(f(g))?\nAnswer: -6241*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 36 = -3*u. Let r be u*5\/(-45)*-3. Find the first derivative of 10*j - 5 - 2*j + r*j wrt j.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 793214195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 7:58 PM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = 3*l + 2*c - 8, -12 = -3*c. Suppose -3*p + 0*p + 18 = l. What is the remainder when 11 is divided by p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (-12 - (-7 + 2) - 13)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142 = -53*f - 441 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -74 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 3158094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 4*a - 4, 5*w = 5*a - 0*a + 30. Suppose 0 = l - 56 + 60. Let y(c) = -c**3 - 3*c**2 + 9*c + 3. Let n be y(l). Sort a, -4, n in decreasing order.\nAnswer: a, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7050 in 4\/5, -5, 2095?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -406.3 + 430. Let y = -24.2 + r. What is the second smallest value in 4, -2\/17, y, 5?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7.4*353\nAnswer: 2612.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 81 and 736218.\nAnswer: 6625962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -89 - -87. Which is the third smallest value? (a) 3 (b) -0.4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -477969*m + 22875 + 238985*m - 22875 + 238984*m + m**2.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.799486 rounded to 3 dps?\nAnswer: -1.799","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/13 + 11\/7\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -118, -121, -128, -139, -154, -173?\n\"Answer: -2*y**2 + 3*y - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 360685 is divided by 109.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.48 - -0.02. Let y = 0 + d. Which is the closest to -2\/5? (a) -3 (b) y (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 4*o**2 - 5*o. Let q be b(-5). Let x = -2 - q. Put 4, -3, x in descending order.\nAnswer: 4, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 606.2 + -603.2. Which is the closest to 5? (a) 0.08 (b) h (c) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 4*y = 26, -2*g + 17 = 3*y - 2. Suppose -x + 9 = g*x. Suppose 2*f = 4*j - f - 440, -4*j - x*f = -464. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174312979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -56.3 - -50. Let x = z - -6. Let t = -0.16 - 5.84. Put -0.2, t, x in increasing order.\nAnswer: t, x, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a - -1a1519?\nAnswer: 1a1527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of 3*w**5\/10 + w**4\/12 + w**3\/6 + w**2\/2 + 2*w. Let z be t(-1). Let m(g) = g**3 + 5*g**2 + 2. Give m(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 1796*o + 12. Is 77 a factor of v(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k - 10*k + 0*k. Let j(b) = 16*b. Suppose 0 = f + 2*z - 22, -116 = 5*f - 5*z - 76. Give f*j(l) + 5*i(l).\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + (-24)\/(1 + -4). Let p(x) = x**2 - 5*x - 2. Let j be p(n). Suppose 7 = j*f - 21. What are the prime factors of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 238 and 11606.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.33 + -15319921?\nAnswer: -15319924.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6885 - -27541\/4. Let m(y) be the second derivative of -1\/24*y**4 - k*y**3 - 1\/2*y**2 + 0 + 6*y. Factor m(p).\nAnswer: -(p + 1)*(p + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b - 1. What is d(6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/3 - 1864*f**2\/3 - 321080*f\/3 + 452125312\/3.\nAnswer: 2*(f - 698)**2*(f + 464)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -l**5\/20 - 353*l**4\/24 + 223*l**3\/3 - 537*l**2\/4 - 1443*l. Factor b(y).\nAnswer: -(y - 1)*(y + 179)*(2*y - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0873 + -1.9127. Let q = 2.2 - 2. Which is the second biggest value? (a) q (b) 1\/7 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 242 - 1221\/5. Find the common denominator of t and 93\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 116 - 110. Suppose -r*z + 14*z = -824. What is z rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 160*c - 156*c - 12 = 0, 0 = -3*y + c - 13 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/10, 96, -0.1, -4, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -10825 and 3262.\nAnswer: -7563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 236, 5, 4 in decreasing order.\nAnswer: 236, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of -g**3\/6 + 10*g. Let f(i) = 4*i. Determine f(r(u)).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*v - 15 = -29*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5680\/2613 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-101 - -113 - (1 + 12))\/(7\/(-1428)*-6)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 + l + 1. Let f(o) be the third derivative of -7*o**2 + 0 - 5\/12*o**4 - 5\/3*o**3 - 1\/5*o**5 + 0*o. What is -f(v) - 10*r(v)?\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 170274624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.3 times -2?\nAnswer: 68.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46569*v**2 - 93164*v**2 - 10*v**3 + 46595*v**2.\nAnswer: -10*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 29 = 23. Suppose 802 = 2*o - t*w, 5*o = 3*w + 1081 + 932. Suppose 99 = j + 5*k - 0*k, 5*j - 5*k - o = 0. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 829.2526ml to litres.\nAnswer: 0.8292526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(240) + (sqrt(240) - -3*-2*sqrt(240))))\/((sqrt(72) + (-2*sqrt(72) - sqrt(72)))\/sqrt(6) - (2*sqrt(300) - sqrt(12))).\nAnswer: 40*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 62, 134, 204, 272?\n\"Answer: -j**2 + 75*j - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t - 3. Give v(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 84*k + 72. Let m(a) = 2*a + 5. Let z(l) = h(l) - 4*m(l). List the prime factors of z(13).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10234888 at least as big as -10234925?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-5)*(-70)\/(-70)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 591, 587, 581, 573, 563, 551, 537?\n\"Answer: -g**2 - g + 593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -15, 0.26, 0.4, 0.5, -0.1, 5\/6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4c (base 16) to base 4.\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of 23\/15*p**5 + 5\/21*p**7 + 0 + 2\/3*p**2 - 46\/45*p**6 - 2\/3*p**4 - 5\/9*p**3 + 7*p. Determine b so that h(b) = 0.\nAnswer: -1\/3, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -997.3 - -997. Let b be 3*((-6)\/3)\/(-6). Suppose -3*x + b - 10 = 0. Sort n, x, -16.\nAnswer: -16, x, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43545a (base 15) to base 5.\nAnswer: -1310112420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2424, 3118, 4276, 5898, 7984, 10534, 13548?\nAnswer: 17026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000111001110 (base 2) to base 6.\nAnswer: 33034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**2 - 4*s + 12. Let b(h) = h + 1. What is 2*b(v) + m(v)?\nAnswer: 2*v**2 - 2*v + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 73*a**2 + 97*a - 180. Is y(74) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4187227?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b - 30. Let y(w) = -8*w**2 - 3*w + 3. Let f(o) = 56*o**2 + 20*o - 20. Let n(q) = -3*f(q) - 20*y(q). Determine n(v(d)).\nAnswer: -32*d**2 + 960*d - 7200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 139636?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -718.6082 rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 4:27 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 4*c**2 + c. Let a(i) = -i**3 + i + 239. Let h(b) = -b + 1. Let w(k) = a(k) + h(k). Let r(z) be the first derivative of w(z). What is r(t(m))?\nAnswer: -48*m**4 - 24*m**3 - 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 10*g - 3. Suppose 2*b = 7*b - 25. List the prime factors of i(b).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88872653 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1184, -2367, -3550, -4733?\nAnswer: -5916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one fifth of a microsecond?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**9*l**8*(l**(-8)*l)\/(l\/l**(-6\/7)) assuming l is positive.\nAnswer: l**(57\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + 10 + (44 - 56)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4836, -4046, -2730, -888?\n\"Answer: 263*g**2 + g - 5100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - (14 - (13 + -6))) + 29?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31257 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 48 = 57 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 241639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 17*i**2 - 2*i. What is the remainder when h(-1) is divided by 56\/(-6)*(-1)\/((-7)\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 405.73 - 408. Let x = 0.33 - a. Let i = 3 - x. Put -0.1, -0.2, i in ascending order.\nAnswer: -0.2, -0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -0*u - 8903. Let m = u - 3867. Suppose 15*k = 19*k - m. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002593 to four dps.\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 160\/3 + -53. Let i(z) = 10*z - 75. Let m be i(7). Put m, -50, a in increasing order.\nAnswer: -50, m, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of -b**4\/12 + 2*b**3\/3 + 71*b**2\/2 + 941*b. Calculate p(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**2\/4 + 1211*b\/4 = 0?\nAnswer: 0, 1211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 (base 8) in base 7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 2*m + 2*p = -36, p + 4 = 0. What is the remainder when 77 is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76268.48 micrograms to milligrams.\nAnswer: 76.26848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*p - 158*p - 18*p to b + u*p and give u.\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 5*b + 158 + 4*b**2 + 0*b - 152. What is d(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.78 and -0.035.\nAnswer: 1.745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49667?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z - 6. Let g(d) = 3*d - 7. Let p = 276 + -280. Calculate p*g(r) + 5*t(r).\nAnswer: 3*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 16 = -4*w, -5*q = -4*w - 31. Differentiate -3*c + q*c - 2*c**3 + 3 + 5*c**3 with respect to c.\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 21.\nAnswer: -1, 1, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 408b4b1 + -2?\nAnswer: 408b4ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of 7*b**3\/6 - 5*b**2\/2 - 5*b. Let t(i) = -i + 1. Determine -2*p(s) - 10*t(s).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56824 is divided by 31.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 + (20 + (-14 - -1) - 20)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-720 + 14*k - 6*k**3 + 720)*(-8*k - 33 + 33).\nAnswer: 48*k**4 - 112*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, 5, -105.\nAnswer: -105, -38, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 138.62 and -36.\nAnswer: -4990.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 114 + -116. Which is the second smallest value? (a) 3 (b) -9 (c) 0.3 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57, -119, -189, -267?\nAnswer: -353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/1630030 and 31\/1630030.\nAnswer: 1630030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38274, 76460, 114646, 152832, 191018, 229204?\nAnswer: 267390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 13*p**2 + 9*p + 29. Let k(c) = 37*c**2 + 26*c + 86. Let b(s) = -17*g(s) + 6*k(s). Is b(-18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*h - 2*v, -h = -0*h + 2*v + 2. Let f be ((15\/h)\/5)\/((-259)\/74). Which is the second biggest value? (a) f (b) 5 (c) 0.15 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1592*g - 11*g**2 + 1592*g.\nAnswer: -11*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in 0, -84\/13, 2\/5, 4, 17, 0.3?\nAnswer: -84\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.167 * -1.8506\nAnswer: 0.3090502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together 21445.09262821 and -2.\nAnswer: 21443.09262821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -5.1.\nAnswer: -15.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 8) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -134*s + 151. Let l(x) = -201*x + 216. Give -5*l(g) + 7*v(g).\nAnswer: 67*g - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1723932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34493, -34494, -34495, -34496?\nAnswer: -34497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2310 is divided by 177?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**4 - 171*x**3 - 1938*x**2 + 10296*x = 0. What is x?\nAnswer: -13, 0, 4, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1295 and 350?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l - 3*l = 3324. List the prime factors of l.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*a**2 + 2*a**2 - 2*a**2 + (0 + 0 - 1)*(2*a - 2*a + 4*a**2))*(-3*a - 4*a + 6*a) as k*a + u*a**2 + d + w*a**3 and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 711088576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1785?\nAnswer: 3, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/7, 29, -5, 3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/1190840 and 43\/45.\nAnswer: 10717560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -131, -2, 4, -33.\nAnswer: -131, -33, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((c\/c**(8\/5))\/c)\/((c\/(((c\/(c\/(c*c**(-30))))\/c*c)\/c))\/c))**(14\/3))**(2\/63))**(-2\/63) assuming c is positive.\nAnswer: c**(1264\/8505)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 395*f - 6. Let c(r) = 390*r - 5. What is -6*b(g) + 7*c(g)?\nAnswer: 360*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 34*a**2 + 2*a - 57. Give y(34).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*c = 30*c - 3085772. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v + 4. Let i(w) = 4*w - 12. Calculate 7*f(b) + 2*i(b).\nAnswer: b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3*n - 10 = 0, -t + 12*n - 11*n = 0. Which is the nearest to t? (a) -4 (b) -23\/8 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o - 30 = 5*o. Let b = -4 + 6. Let q(f) = 6 + f - b*f - o. Determine q(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13337 - -13726.2. What is l rounded to zero decimal places?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-8) + 72450\/104400.\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f = -22*f + 3250. Suppose 6*l + f - 979 = 0. Is l a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f - 36. Let x(m) be the second derivative of -m**3\/6 - 5*m - 324. Calculate x(r(l)).\nAnswer: l + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -193\/13 - -15. Which is the biggest value? (a) 0 (b) n (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -131320210 (base 4) in base 16?\nAnswer: -1de24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m - 268 = -14*m. Let q = m + -72. What is the remainder when (-442)\/(-10) - q\/100*-4 is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.085 (b) -4 (c) 24 (d) -5\/4 (e) -53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6285.61359 rounded to the nearest integer?\nAnswer: -6286","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 226235 + 2?\nAnswer: 226240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -187 (b) 0.7 (c) -4 (d) 2215\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 0.04, 2\/523, -1\/2, 2\/23, 2\/5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -22*d - 277. Let g be r(-13). Calculate the greatest common divisor of 81 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*a + 140 = 35*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 108 and 316116.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 625662.\nAnswer: 2, 3, 34759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5919 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2292166 divided by -3.\nAnswer: 2292166\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45 + -43. Suppose -t*f - 6 = -8. Suppose -5*s = 20, 5*s - 40 - 16 = -4*k. Solve -f - k = 4*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128229958 is divided by 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -194471.261 rounded to the nearest 1000?\nAnswer: -194000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361889071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 69*l + 7. Let i(t) = -77*t - 8. Calculate 3*f(v) + 2*i(v).\nAnswer: 53*v + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 54*s - 51*s - 20841. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 1e8b0?\nAnswer: -1e8ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 248*w**2 - 14478*w + 17334. Calculate x(-152).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 1.8, -0.2, 3\/16?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 53*k + 9. Is u(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -8 + 78\/10 + (-16)\/(-5). Suppose -3*y - h*f - 149 = 127, f + 286 = -3*y. Which is greater: y or -98?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f**2 + 10*f + 8. Let y be ((-164)\/656)\/(1\/4). Give u(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 9\/5, -0.4, 3\/2, -23.39, -20.6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nufj when four letters picked without replacement from ufuufuiiiiujniuuij?\nAnswer: 7\/18360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 5*h**2 + h + 2. Let f be j(-5). Let a be f*-1*(6 + -3). Suppose -2*t + 7 = -a. Solve 2*b = -3*d + 1, -b - t*d + 3*d + 11 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/15, 1798, -0.3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 937*c**3 + 3 - 1097*c**3 - 2331*c**3 - 910*c**3.\nAnswer: -3401*c**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 568138854.\nAnswer: 2, 3, 94689809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7023221343 from -0.76.\nAnswer: 7023221342.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 861 + -551. Is 31 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -28293.3 or -2\/101?\nAnswer: -2\/101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 5 = -z - 0*z, 2*f = -4*z - 6 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 3) + 2 + -4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 481.5 + -476.5. Sort -2\/57, s, 2, 0.5, 1\/6 in descending order.\nAnswer: s, 2, 0.5, 1\/6, -2\/57","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -152352?\nAnswer: 152346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 447304 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + (sqrt(99) - -2*sqrt(99)*1) + sqrt(99) - -1*sqrt(99)*1)\/(3*(-6*sqrt(126)\/sqrt(2))\/sqrt(7)) + 1.\nAnswer: -sqrt(11)\/3 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47781 by -1.\nAnswer: -47781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(68))**2*-5 + -4)*-5 + -2*(sqrt(1700) + -1 + -1 + -5 + (sqrt(1700) - (1 + sqrt(1700)))).\nAnswer: -20*sqrt(17) + 1741","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2939, -11877, -26779, -47651, -74499, -107329, -146147, -190959?\nAnswer: -241771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 42327, 0, -3 in decreasing order.\nAnswer: 42327, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -5, -1\/3, -3, -9?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 16*c**2 + 56*c - 35. Determine m(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1428 = -4071*n + 4057*n. What is the highest common factor of 25602 and n?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69144*c + 69120*c - 360 = 0 for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*t + 4352 = 14*t. Suppose 0 = 3*n - 9 - 3. Suppose n*s - 400 = t. Does 22 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 + 91*u + 13438. List the prime factors of j(0).\nAnswer: 2, 6719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2521.\nAnswer: 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of t**5 + 3431*t**2 + 70425*t wrt t?\nAnswer: 20*t**3 + 6862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(60)\/sqrt(3).\nAnswer: 2 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -y**4\/4 + 7*y**3 - 21*y**2\/2 + 9*y - 67. List the prime factors of t(19).\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 2287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -3. Let p = 38 - 35.5. Let u = p + -2.8. What is the smallest value in u, 3, -1, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 488, 519, 550, 581, 612?\nAnswer: 643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -5*s + 27. Suppose s - 184 = -7*p. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (32\/56)\/((-2)\/(-14)). Suppose -2*t = -k*t + 6. Calculate the highest common divisor of 9 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -0.5 (c) -1\/1018 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -33655 - 795*i**2 + 33655 + 20*i**4 - 160*i - 615*i**3.\nAnswer: 5*i*(i - 32)*(i + 1)*(4*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 44?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 560 - 563. What is the fifth biggest value in 72, -2, v, 4, 1\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32321 (base 6) to base 13\nAnswer: 2038","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2105092 or 2105089?\nAnswer: 2105092","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -19961*p. Let i(h) = -206*h - 2. What is g(i(n))?\nAnswer: 4111966*n + 39922","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -241 - -71?\nAnswer: -1d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 340648*a**3 + 9 + 340555*a**3 - 4.\nAnswer: -93*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 117, 238, 363, 492, 625, 762, 903?\n\"Answer: 2*s**2 + 115*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/76701 - -4372133\/6749688. Find the common denominator of -137\/594 and w.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 2*b**2 + 2*b - 1. Let v be (-1*3\/(-1))\/(-1 - -2). Let o be t(v). Let q = -34 - o. Solve q = -4*c - 14 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -4*c - 1. Let l be z(-7). Let s = l - 18. Let u = s + 2. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -237*b - 15 = -242*b, -5*q + 19 = -2*b for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2022 + 202?\nAnswer: 10001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -101 + 501\/5. What is the third smallest value in -0.2, d, 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.11 - -2.41. Let x = 17.3 + -18. Let d = s - x. Which is the third biggest value? (a) d (b) 5 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/6172 and -85\/37032?\nAnswer: 37032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4753, -7613, -10493, -13393, -16313, -19253?\nAnswer: -22213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 8 = 5*u - 2*h, 0 = -2*u - 2*h - 2. Which is greater: -3 or u?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 420328 a multiple of 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -975 divided by -1688?\nAnswer: 975\/1688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 + -29. Which is the closest to -0.7? (a) m (b) 4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*z - 8713 = 8087. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 7*u**3 - u**2 + 57*u + 197. Is 54 a factor of j(15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 97057229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*l**5 - 125*l**4 - 421*l**2 wrt l?\nAnswer: -120*l**2 - 3000*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 1:24 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1652440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*b - 3*b**3 + 50*b + 1199649789 - 1199649789 - 22*b.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 240370*g - 38459196. Determine k(160).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -205 divided by 3704027.\nAnswer: -205\/3704027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -40000, -160035, -360094, -640177, -1000284, -1440415?\n\"Answer: -40012*j**2 + j + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*b**2 - 24*b**2 - 14*b**2 + 72*b**2 + 21*b - 14*b**2 as m + o*b**2 + g*b and give g.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 294355?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*t**4\/3 + 168154*t**3 - 936150*t**2 + 1573614*t - 833004 = 0. Calculate t.\nAnswer: 9\/7, 3, 5142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3\/2, -1, 3\/7, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 81 + -54. Let v = 35 - a. Suppose -v = -q + 3. Calculate the highest common factor of q and 110.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33 and 15012?\nAnswer: 165132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -140*a - 17636. Give i(-126).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 894 - 889. Let c(w) = -w + 7. Suppose -2 - 5 = -b. Let x be c(b). Solve 4*p - n + x = 7, -j = -5*n for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -8*q - 5*n + 15, 0 = -2*q + 2*n + 10. What is the nearest to 1\/3 in -4, -5, q?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/20)\/((-1)\/65). Let g = 13 + k. Calculate the remainder when g is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 99171 = 5*v - 73783, v + l - 34592 = 0. Is v a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 246 divided by -1700925\nAnswer: -82\/566975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 9 = 4*u - 11, 5*u - 16 = 2*t. Let l be 5\/(-6)*44\/110. Sort t, 0.4, l.\nAnswer: l, 0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7034000 to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -308, -609, -908, -1205, -1500, -1793, -2084?\n\"Answer: g**2 - 304*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/18*-1*3.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -4*w - 5*k, w - 3*w - 4*k = -16. Let m be 5\/w*((-606)\/15 + 1). Let o = m - -33. Which is smaller: o or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 695164 is divided by 44?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 18*f - 1190. Is f a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/8050 and -137\/7933758.\nAnswer: 198343950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 8:41 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1189, 39, -3, 3, 5 in increasing order.\nAnswer: -3, -1, 3, 5, 39, 1189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 280822.\nAnswer: 2, 140411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 2*j - 2*c + 2, -3*c = -2*j - 7. Let r be (j - 2\/2)\/((-6)\/(-3)). Factor r*a + 9\/2 - 5\/2*a**2 + 1\/2*a**3.\nAnswer: (a - 3)**2*(a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*a + 3*m - 19, m - 5 = 2*a. Suppose -3*j - 28 = -4*c, -4 + a = 3*j + 2*c. Let v be (-64)\/132 + j\/(-6). What is the closest to -1\/4 in -4, v, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + m**2 - m - 1. Let c(t) = -6*t**3 + 2*t + 1. Give 2*c(r) + 2*j(r).\nAnswer: -10*r**3 + 2*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1)*(-4027*f**2 + 8164*f - 8164*f)*(0*f - 6*f + f).\nAnswer: 40270*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 20 = 0, 0*p - 2*t - 134 = -4*p. Is 9 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/(4*(sqrt(6) + -2*sqrt(6))))\/(3*-3*(sqrt(10) - (sqrt(10) - (-1*sqrt(10) - sqrt(10))))) + -3.\nAnswer: -3 - sqrt(3)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.8615 + 0.8615. Is 339 != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from isfwmuis. Give prob of picking 1 f and 2 i.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*f = 120219 - 526857. Does 6 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 - 15 = -6*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 168 to the power of 1\/2, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 5*z + 12 = -6*z, -4*z = -2*y + 20 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2280?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-825)\/3*-47*43\/(-10105).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 293631208439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -0.4, 0.1, 5, 3\/16?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -4240*t - 2. Let s(u) = -2*u**2. Determine s(n(r)).\nAnswer: -35955200*r**2 - 33920*r - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 - 1225224335?\nAnswer: -1225224351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 - h + 1. Let j(y) = -6*y**2 + 5*y - 7. Let w(n) = 5*b(n) + j(n). Suppose -6*o = -o - 10. Determine w(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dfy when three letters picked without replacement from {f: 10, y: 2, d: 4}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 12450235 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 0.4. Let h = -0.3 - -0.1. Which is the closest to -1? (a) h (b) d (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4852 - -4852.1. Let l(z) = -z**2 + 3*z + 1. Let f be l(4). Let j be ((-3)\/(-6))\/((-1)\/f). What is the third biggest value in j, -1\/2, h?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.01 + -0.91. Let y = -13.9 - x. Let i = y - -17.999969. What is i rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1c3aa6 (base 13) to base 10\nAnswer: 722442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 99 and 4456001.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -152874 by 298.\nAnswer: -513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40 - 17. Which is smaller: m or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58010000 rounded to the nearest 1000000?\nAnswer: 58000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 116 - 7. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = 7*j - 9*j, -5*t = -3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -55.95 - -0.95. Let i = -93209 + 93212. Which is the third smallest value? (a) z (b) i (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -409 + 1028. List the prime factors of v.\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14233092353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 2 = -3*j + 4, -552*q + 278*q + 273*q + j - 4 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -550\/7 - -79. Let x = -7031\/6 + 42233\/42. Let d = x + 166. Which is the nearest to d? (a) 0.4 (b) n (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3063 + 3572. Calculate the remainder when 1018 is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175263874.\nAnswer: 2, 751, 116687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1265?\nAnswer: 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 - 6*l - 8. Let m be w(-4). Let q = -3 + 2.5. Which is the nearest to m? (a) -2 (b) q (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z**(-3\/5)*z)\/z)\/((z**(-6)\/z)\/z))\/(z**2*z)**(-15\/4))**33 assuming z is positive.\nAnswer: z**(12309\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -53 and -1567.051 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 0 - 2 + 5*k - 6 + 4. Let s(q) = -3*q**2. Give s(i(w)).\nAnswer: -75*w**2 + 120*w - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183751 is divided by 20?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4918 (base 11) in base 5?\nAnswer: 201212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23\/6 or 4?\nAnswer: 23\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 1 = -2*u. Suppose 0 = 5*x, 2*l - u*x + 67 = l. Let w = -42 - l. Does 17 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37*g**4 + 2*g**2 + 19*g**2 + 52*g**4 + 12*g**2 wrt g?\nAnswer: 360*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 91025275 to the power of 1\/3, to the nearest integer?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Express 2 - y - 4 - y + 7 in the form n + t*y and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (14\/9)\/((-4)\/78). Let g = 30 + s. Let t be 2\/(-10)*((-6)\/(-6) + 2). Which is the nearest to g? (a) t (b) -0.4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 36861*z + 6192664. Give c(-168).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 t when three letters picked without replacement from {v: 3, t: 8, q: 3, h: 2}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 28130\/18 - 8\/(-36)*1. What is the common denominator of -123\/154 and -8*8\/16 + n\/462?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 10:47 PM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200 = -17*p - 268. Sort 5, -10, p, -1 in descending order.\nAnswer: 5, -1, p, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 g when two letters picked without replacement from {l: 2, g: 2}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 479898 and 30.\nAnswer: 2399490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -376, -271, -152, -13, 152, 349?\nAnswer: 584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -73*l + 167*l + 7 - 68*l to the form y + n*l and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2673, 2668, 2663?\nAnswer: 2658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(40\/(-8))*-1*3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -109 - -107. Let p be (80\/18)\/y - (8 - 10). Let t be (-9)\/(-10) + (-4)\/10. What is the closest to t in -3, p, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 17\/2 of a meter?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5\/4, -1\/3, -1, -0.06?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3076 is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.223 * 5.25\nAnswer: -1.17075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 3. Let s = h + -4.4. Sort s, -0.5, 5 in increasing order.\nAnswer: -0.5, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 59 + -55. Solve -4 = -3*c - r*d, -4*d + 13 - 37 = -4*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 402 = -x. Suppose 3*g = -p + 29, p - 4*p + x = -g. Let w = 25 - p. Calculate the greatest common factor of 18 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2248 (base 13) to base 6\nAnswer: 34104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 243 (b) 5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + (7 - 0) - 1. Let l(d) = -d**2 + 6*d + 53. Let o be l(10). Let r = o + s. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 5*s**2 + 4*s. Let t be k(-4). Let h = t - -12. Suppose -3*r + h = -12. What is the remainder when 39 is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -4093*f + 3949815. What is h(965)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 z when three letters picked without replacement from {g: 5, j: 1, z: 4, r: 3, n: 2, v: 1}.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 3*t - 4 = 0, t - 12 = -0*f + 2*f. Let d = f + 7. Let j(s) = s**2 - 2*s - 2. Give j(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(3*2\/(-3)). Let u(x) = 5 + 0*x - 9*x + x**q + 10*x**2 - 4 - 5*x. Is u(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27 - 27. Suppose -2*q + 2*o - 86 = p, 4*q = 3*q - 4*o - 43. Let i = q - -91. 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: Let v(y) = 4*y**3 - 3*y**2 + 5. Let n(u) = -u**3 + u**2 - 2. What is 11*n(w) + 4*v(w)?\nAnswer: 5*w**3 - w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -682.5435*-0.2\nAnswer: 136.5087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 19 + 3 - (-4)\/1. Let d = 27 - s. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -17*w**4\/4 + 2*w**3\/3 + w**2\/2 - 7. What is the remainder when 34 is divided by c(-1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 130368159 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + (sqrt(13) + 1 + -3 - ((sqrt(13) + 2 - sqrt(13)) + sqrt(13) + -5))).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 3*c + 6. Let k be t(12). Let n = k + -34. Let h = 33 - n. Solve p + h = 6*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((((-1 + sqrt(1300))**2 - sqrt(1300)) + 3)*-6 + -4*-5*(sqrt(13) - 3*(sqrt(117))**2) + -1).\nAnswer: -59380 + 800*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**5)**(6\/13) assuming w is positive.\nAnswer: w**(36\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -300a (base 12) to base 8\nAnswer: -12112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -146, -169, -240, -383, -622?\nAnswer: -981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.8512258 + -2.46122401. Let f = -0.61 - k. Round f to seven decimal places.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 4*b. Let h(w) be the second derivative of -w**7\/2520 - w**4\/6 + 3*w. Let g(i) be the third derivative of h(i). Determine d(g(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n + 2. Let p be c(0). Suppose -q = 4*x - 1, -2*x + q = -1 + p. Suppose 0*t + 2*t - 6 = x. Solve -2*v = -4*v - 2, -t*v = -5*g + 23 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1150346 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 172 in -1\/8, 3, 2\/5, 0.2, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.5, -0.1, -2\/11, -3, 5.\nAnswer: -3, -2\/11, -0.1, 1.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from myhjmsygyhhy. Give prob of sequence yh.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 171431.04 months in centuries?\nAnswer: 142.8592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 4*m - 3. Let r(q) = 7*q - 5. Let v(d) = -10*n(d) + 6*r(d). Let o(p) be the first derivative of -p**3\/3 + 144. Determine o(v(h)).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2237, 4378, 6519?\n\"Answer: 2141*b + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 9*m**2 + 13*m + 15. Let j be f(-10). Let r = 29 + j. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65\/16, -4816, -0.2 in descending order.\nAnswer: 65\/16, -0.2, -4816","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 54 + -109\/2. Let o be (1*((-150)\/54 - -3))\/(-2). What is the nearest to 1 in -4\/83, o, c?\nAnswer: -4\/83","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 26599*l - 101*l**3 + 26599*l to the form x*l**2 + q*l**3 + u*l + j and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1501, -3145, -4797, -6457, -8125?\nAnswer: -9801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/11)\/n)\/n**(3\/7))**32*(n\/n**4*n**(1\/3))\/((n\/n**(1\/9))\/(n*n**(-1\/11))) assuming n is positive.\nAnswer: n**(-3230\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 12611*u - 1212*u + 5 - 5 + 3317*u in the form w*u + f and give w.\nAnswer: 14716","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 3*b - 7 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*y**2 + 11*y**2 - 3*y**2)*(3*y**2 - y**2 - y**2) as i*y**4 + w + v*y**3 + j*y**2 + d*y and give i.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 6*h**4 + 4*h**3 - 18*h**2 + 8 = 0.\nAnswer: -2, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/(-2) - 6)\/3*4\/(-3). Is d > 89\/36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 195 - 101. Let r be v\/18 - 24\/108. Solve a + 2 = r*i, 0 = -0*i + i - 2*a - 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3926 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1517130 is divided by 35?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -u - 1. Let l = 0.7 + -0.3. Which is the closest to 0? (a) u (b) -4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -29*p + 469. Let d be y(16). Solve -5*t = 4*a + 13, t - 6 = a - d for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 2524*w - 105 = 2522*w, 0 = 29*d - 4*w + 609 for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2358\/8 + (-2)\/(-8). Suppose 238 = 4*y + 2*l, -4*y - y + k = 2*l. Calculate the remainder when y is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*o + 2510 = 5*a, 3*a - 94 + 20 = 3*o + 46 for o.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5846.5 nanograms to grams.\nAnswer: 0.0000058465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.4 + 0.7. Let f = 1.8 - 0.8. What is the third biggest value in m, -0.2, f?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 187, 294, 405, 520, 639?\nAnswer: 762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 161*n**3 - 772*n**2.\nAnswer: 966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -41041?\nAnswer: 41041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04926823461 to 5 dps.\nAnswer: -0.04927","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 5 - 10*q + 12*q + 10*q**2 - 6. Give c(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-2 + 6))*(-8)\/(-12)*(-332)\/243688.\nAnswer: 2\/367","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 4765?\nAnswer: 4766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 1 - 15 + 8 - 16 - 9*n. Let m be l(-6). Which is smaller: m or 163\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 6*o - 2*o. Let z = o + 19. Suppose c = -0 + z. What is the remainder when 32 is divided by c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8829437 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - 13*g + 2. Let q be p(13). Let z be -5 + (-7 - -8) - -9. Solve c = -c + z*s - 18, -4*c - 4 = -q*s for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 2156*f**2 - 8647*f + 37. Calculate w(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 5*u**2 + 234*u + 1945. What is t(-36)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30573099 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(4 + -3 + sqrt(171))*1)**2 + 3 + -4.\nAnswer: 24*sqrt(19) + 687","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 12, g: 1, j: 3, k: 1, s: 2}. Give prob of sequence kj.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2210 = 27*i - 14692. What is the hundreds digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002012817 rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3566?\nAnswer: 2, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 784 and 1232?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 261550 divided by 68\nAnswer: 130775\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41*x**2 - 6*x**4 + 63*x**2 - 53*x**2)*(-13 - 39 + 15 - 20).\nAnswer: 342*x**4 - 2907*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -13*a**5\/10 - 4*a**4\/3 - 2*a. Find the third derivative of w(n) wrt n.\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + y + 157 = 156, -2*u = -3*y - 13 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -127527, -255074, -382623, -510174, -637727, -765282?\n\"Answer: -q**2 - 127544*q + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1729 (base 12) in base 15?\nAnswer: -c49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -769.74 + 797. What is w rounded to zero decimal places?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 920 = 608. Does 8 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418827.4 years in months?\nAnswer: 5025928.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*z**3 - 2*z**3 + 0*z**3 + (192*z**3 + 0 + 1 - 325*z**3)*(0 + 2 - 4 + (2 - 2 + 2)*(-3 + 2 + 0) - 1 - 2 + 5).\nAnswer: 268*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1507234\/33 or 45674?\nAnswer: 1507234\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12299\/5 - -2602. Let r = -143 + b. Sort 0.5, -1\/4, r.\nAnswer: r, -1\/4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*v**2 - 2 - 17*v**2 + v**3 - 8*v**2 - v**4 - 7*v + 38*v**2 as o*v**4 + z*v + t*v**3 + y + q*v**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 46 and 506?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -58, -140, -250, -388, -554?\nAnswer: -748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19699 + -59096\/3. Sort -3, -5\/2, -2, r, 1 in increasing order.\nAnswer: -3, -5\/2, -2, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2545*u**2 + 3*u + 3. Is p(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -94*i - 523. Give x(-5).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kn when two letters picked without replacement from {n: 4, k: 5, s: 3}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*z = -100*z + 3*x + 6, 0 = -2*z + 5*x - 5. Calculate the highest common divisor of 200 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*g**2 - 3*g**2 - 2*g**2 + (-g - 1 + 1)*(g - 2*g - g) - 2*g**2 - 2*g + 2*g - 3*g**2 - g**2 + 2*g**2)*(4*g + 3*g - 5*g).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s. Let j(k) = -7*k**2 + 3*k**2 + 3*k + 2*k - 5. Let c(d) = 3*d**2 - 6*d**2 - 4 + 4*d - d**2. Let r(a) = 5*c(a) - 4*j(a). Determine r(w(m)).\nAnswer: -16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3\/5)*i**5)\/(i*i**(-7)*i*i\/(((i*(i**5*i)\/i)\/i)\/i))*i**(5\/6)*i*i**5\/i*i**(3\/7)*(i\/i**(-2))\/i assuming i is positive.\nAnswer: i**(4339\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 2*o + 20 = -4*o, 0 = -4*s - 2*o + 20. Suppose 4*u + 64 = 4*z, s*z = 4*u + 11 + 71. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) + -1*sqrt(180) + 4)*-2 + 3)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*t + t + 3*t)*(-2*t**2 + 0 + 0) + 3*t**3 - t**3 + 6*t**3 + 5*t**3 - 14*t**3 + 2*t**3.\nAnswer: 5*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.1 - 1.9. Let v = k + -0.22. Let r = -0.02 - v. Which is the closest to 1? (a) -1 (b) r (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2047366161?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 1)*(0*v - 4*v - 6*v)*(-3 + 3 - 3*v**3) - 48*v**2 - 2*v**3 - 3*v**4 + 107*v**2 - 54*v**2.\nAnswer: 27*v**4 - 2*v**3 + 5*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/2)*u)**(-1\/15)*u**(1\/5)\/((u\/(u**(3\/7)\/u)*u)\/u))**(-37) assuming u is positive.\nAnswer: u**(2183\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) 4.1 (c) 325\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -166*y + 17. Let i(v) = -41*v + 4. Determine 9*i(z) - 2*o(z).\nAnswer: -37*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of d**6\/15 - 17*d**4\/2 - 79*d**3\/6 - 23*d. What is the second derivative of c(a) wrt a?\nAnswer: 24*a**2 - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.06, 5, 2\/13, -4?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 + b**2 - 51 - 2*b**2 + 0*b**2 + 7*b**2.\nAnswer: 6*b**2 - 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 323388, 646839, 970284, 1293723, 1617156?\nAnswer: 1940583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*c + 37 + 8 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + (-50 + 2 - -2). Let b be (-4)\/10 + j\/10. What is the nearest to -1 in b, 0.2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) -1 (c) -7\/51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 306 + -192. What is the remainder when -14 + x - 4\/1 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-90)\/(-120)*-2*(-14)\/819)\/(2\/(-24))\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2683 - 8132\/3. Which is bigger: s or -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b39 (base 12) to base 9.\nAnswer: -4540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**3\/13 - 4*a**2\/13 - 14*a\/13 - 8\/13 = 0. What is a?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/33 and 23\/209.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/52 - (-11109)\/276) + 20\/(-2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 8*p + 4. Is w(3) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1443*c**2 + 1444*c**2 - 2888*c**2.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) -3\/7 (b) 4 (c) -3\/17 (d) -2.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 2*o = -112 + 24, -2*o = 4*s - 88. Let m be (-1 + 7)*33\/s. Solve -1 = -2*n + m for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 + 12*p - 15. Let d be c(11). Find the common denominator of -5 and (-6)\/2 + 67\/d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 17 + 1 = -5*f, 3*w + 2*f = 19. Suppose -w*u = -35 - 19. Let h(l) = 9*l + 23. Does 9 divide h(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - 19c?\nAnswer: -19b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - 0*4\/(-4). What is the remainder when 9 is divided by 9 - z - (-4 - -7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g*g\/(g\/(g**41*g*g))*g)\/g)*(g*g**(-1\/3)\/g*g)\/g)**35 assuming g is positive.\nAnswer: g**(-4550\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - 6*z**2 - 6. Let b be (-140)\/(-25) - (-4)\/10. What is s(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 + 33. Let f(p) = 2*p**2 - 30*p + 4. Let z be f(k). Solve -z - 1 = a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (78\/4)\/(6\/32) is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 363\/(-198)*286\/(-121)?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -298 + 298. What is the closest to k in 93, 2\/9, -4\/5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*f + 228298 = 15*f + 19*f + 227110 for f.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -155 - -254. What is the greatest common factor of 9 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-18) - -1285*2\/18. Let k = 55 + p. Suppose -g + k = 10*g. Calculate the remainder when 69 is divided by g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -92408891.\nAnswer: 4\/92408891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-3*(sqrt(1088)*-1*-2 + 1 + -3 + sqrt(1088)*1 + -4*(sqrt(1088) + sqrt(1088)*2)))**2 + 1).\nAnswer: -1586378 - 5184*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21202, 21163, 21098, 21007, 20890, 20747, 20578?\nAnswer: 20383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -fd2 + -6?\nAnswer: -fd8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5.9 and 81.89.\nAnswer: -483.151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5631331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30 - 18 - 17)*(-33*u + 12*u - 23*u).\nAnswer: 220*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = p - j - 238, -p - 5*j + 241 = 0. Let x(z) = 707*z - p*z + 1 - 240*z - 235*z + 0. Determine x(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 989421 and 542?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -8. Let f be (-44)\/(-8) + w\/(-2). Find the third derivative of 4*d**2 + 2*d**4 + 4*d**4 - 4*d**f + 2*d**4 wrt d.\nAnswer: 96*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8186 and -2?\nAnswer: 8188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 12:46 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.15 + -3. Let u = 0.236022 + -0.086004. Let y = u - h. Round y to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 210\/32291887 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 6*m + 1035. Calculate x(-34).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/5*(124 - 79). Let j(x) = x**2 - 9*x - 2. What is j(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m + 4. Let g(t) = t - 5. Let w(d) = 5*g(d) + 6*y(d). What is w(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 21691, 43424, 65159, 86896, 108635, 130376?\n\"Answer: t**2 + 21730*t - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -p**4\/12 + 9*p. Let b(c) = 16*c**2 + 5*c + 10. Let x(a) = -a**2 - a - 2. Let l(j) = b(j) + 5*x(j). Calculate l(r(i)).\nAnswer: 11*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 PM and 9:07 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 249*j + 248*j - 1215*j + 243*j + 228*j + 7*j**2 + 247*j.\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, h: 3, r: 4, t: 4}. What is prob of sequence fht?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 26923701 + 45?\nAnswer: 26923746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1050621 and 2821?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11374667867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s**3 + 918*s**2 - 73323*s + 469308 = 0. What is s?\nAnswer: 7, 148, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.097 - -827042.\nAnswer: 827041.903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.6 - -10.6. Let d = w + -1. Let l = d + -5. Which is the closest to -0.1? (a) 2 (b) l (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of n**4\/6 - 11*n**3\/6 + 9*n**2. Let o be t(14). Suppose s - o = -u, -2*s + 78 = u - 3*u. Is s a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 480*k**3 - 2*k**2 - 461*k?\nAnswer: 2880*k - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 83247?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -4. Let r(k) = -5*k**2 + k + 3*k**i + k**2 - 2*k**3. What is r(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -38*t**3 + 11*t**2 + 0*t - 13 + 2*t - 39*t**3 + 76*t**3. What is the hundreds digit of j(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 617 < 618?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 101228585 and 35?\nAnswer: 708600095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -133*p - 1. Let g be (-2 + 1)*(-2 - -4). Let q be k(g). Suppose -q = -8*c + 3*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (66535\/75)\/(9\/(-15)). Let h = -1476 - a. Calculate the common denominator of -49\/8 and h.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iwwhooiofoiaow. What is prob of picking 1 o and 1 i?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1433, 1434, 1435, 1436, 1437, 1438?\nAnswer: 1439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11315643 (base 7) to base 6.\nAnswer: 33203210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.45000072 + 0.45. Round g to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 242067?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12331753661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 3*l - 360, 0*n + 5*n - 4*l = 1800. Suppose 0*k = 5*k - n. Is 24 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/7 (b) 1798 (c) 6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 214*m + 44*m + 124*m - 3438 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 31532154 + 165?\nAnswer: 31532352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45 - 44. Let h be n + 3\/4 + (-1)\/(-4). Suppose u - 2*k = 106, -h*u + 137 + 102 = 5*k. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-2\/47)*y**(-12))**(16\/5))**(1\/2) assuming y is positive.\nAnswer: y**(-824\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 180 and 3221730.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22913 is divided by 8923.\nAnswer: 5067","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of w**5\/60 - w**4\/12 - 3*w**2. Factor l(o).\nAnswer: o*(o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 15) to base 4\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20897 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 2*t + 6 = 0, -5*q + 34553 = t. Suppose -15*h = -5*h - q. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 + 15*b - 48. What is m(11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/8))**(-16)\/(((t**(-1\/4)\/t)\/t)\/t**(-5)))**(-1\/11) assuming t is positive.\nAnswer: t**(3\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 759 - 1032 = -72*o + 1023 for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 to the power of 1\/2, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.4828 - 1.0828. Let o = 8 + -17. Put 0, o, z in ascending order.\nAnswer: o, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or 52249263?\nAnswer: 52249263","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-4 + sqrt(98)) + -3*(4 + sqrt(16)\/sqrt(8)))**2.\nAnswer: -2808*sqrt(2) + 4338","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*l**4 + 996*l**3 - 994*l**3 + 4738 - 1847*l**4 wrt l?\nAnswer: -7360*l**3 + 6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/8889657 and 149\/42?\nAnswer: 17779314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of z**3\/6 - z. Suppose 2*t - 2*h = -3*h + 3, 3*t - 5*h - 37 = 0. Let x(b) = 4*b**2 - t*b**2 + 3*b**2 - 2*b**2. Give x(i(d)).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19828?\nAnswer: 2, 4957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82093, 328553, 739323, 1314409, 2053817?\nAnswer: 2957553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2.1 (b) 2244 (c) 90 (d) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 6*y**2 - 3*y**2 - y**2. Let c(z) = -3*z - 4. Let r(v) = 2*v - 5*v + 2*v - 3 - v. Let l(g) = 3*c(g) - 4*r(g). What is h(l(p))?\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 1. Let m be l*(-2 - -9*(-4)\/(-6)). Let d(t) = t**2 - t - 1. Let n(j) = j**3 - j**2 - 4. Let p(b) = 3*d(b) - n(b). What is p(m)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 11:16 AM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36) + sqrt(396)\/(4*sqrt(11) + sqrt(11)) - (sqrt(108)\/sqrt(3)*1 - sqrt(36)))\/((-2*sqrt(588)*-2 - sqrt(588))*-1).\nAnswer: -2*sqrt(3)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.9 or 94?\nAnswer: 94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**3 + 7*a**2 - a - 3. Suppose 0 = -w - 4*o + 19, 5*w = 2*w - 4*o + 25. Let z be t(w). Solve 0*g = z*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -614.9 in -2, -1, -83?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.1 - -0.1. Suppose -o - 8 = 4*c - 0*o, 0 = 5*c - 5*o - 15. What is the nearest to c in -4, l, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2402594187 * -0.3.\nAnswer: -720778256.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 49345\/6 + -8224. Let o(a) be the second derivative of y*a**3 - 1\/12*a**4 + 13\/2*a**2 - 18*a + 0. Determine o(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22934793*w**4 + 1512*w**2 - 2344*w?\nAnswer: 550435032*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -240496226, -480992453, -721488680, -961984907, -1202481134?\n\"Answer: -240496227*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -550 - -551.384. Let s = -1.39221 + d. Round s to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-8) + (-438)\/(-8). Let q be (0 - -95) + -3 + 2. Let b = -83 + q. What is the greatest common divisor of g and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 - 3 - 1)*(-1 + 2 + 1) - 2 - 1 + 2)*((1 - 1 + 1)*(-5 - f + 5) + (1 + 6 - 1)*(-1 + f + 1)) to the form u*f + r and give u.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 6:45 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -641\/8 + 1939\/24. Put 0.2, 11\/18, z, -4 in increasing order.\nAnswer: -4, 0.2, 11\/18, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + 10*k - 21. Let o be ((-21)\/14)\/(3\/(-10)). Let z be f(o). Suppose 2*h = -z*h + 420. What is h rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 3*z = -11 + 34, -28 = 2*v - 4*z for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6974520673 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4295115 rounded to three dps?\nAnswer: -0.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 210 + -163. Does 5 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19237832 by 4809458.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - x + 4 - 9)*(27*x**2 - 4*x**2 + 27*x**2) to k + i*x**3 + v*x + p*x**2 and give p.\nAnswer: -500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-9))\/((v\/(v\/v**(-1)))\/v))\/(v**(-9)*v*v**(-2\/5)\/v) assuming v is positive.\nAnswer: v**(17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**2 - 2*n + 3. Let w be ((-2)\/8)\/((-264)\/2112). Let f(s) = s**2 + s - 1. Let v be 3\/(((-9)\/6)\/(-3)). What is v*f(g) + w*q(g)?\nAnswer: 2*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36180, -36040, -35660, -34920, -33700?\nAnswer: -31880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37399549?\nAnswer: 11, 3399959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 42\/4*14\/147. Let v(k) = 47*k**2 + 94*k - 94. Let r(a) = -a + 1. Give q*v(d) + 94*r(d).\nAnswer: 47*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j + 5*r - 25, -2*r + 10 = -8092*j + 8090*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -44820 at most as big as -44821?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 111 - 107. Let j(g) = g**2 + 7*g - 3. Let z be j(-8). Solve -z = -p*r - 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2235618 and 496804?\nAnswer: 4471236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19623 or -19624?\nAnswer: -19623","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -850 - 626 = -6*g - 5*d, 3*g + d = 729. What is the greatest common factor of 1205 and g?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2432.399403 - -2444.5899. Let l = 12.19 - t. Round l to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c - 7. Let x be j(4). Suppose -g - 20036 = -5*z + 2*g, z - x*g = 3994. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -22*q**3 + 5*q**2 + 5*q + 5. Let u(w) = -341*w**3 + 77*w**2 + 77*w + 77. Suppose -36*b + 154 + 26 = 0. What is b*u(d) - 77*r(d)?\nAnswer: -11*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -36*u - 53. List the prime factors of q(-12).\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -5 + (-28 - -36).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9567 is divided by 174?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 0 + 3)*(0*k + k + 0*k) + (-1 - 4 + 0)*(0 - 3*k + 0) to o + s*k and give s.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 186768 and 528.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 834 + 6*g - 989 + 804 in the form x*g + t and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 2 = 2. Suppose 4*i + m - 15 = t, -2*m = 4*i - 0 - 14. Sort i, -5, 1, -3.\nAnswer: -5, -3, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80, -55, -46, -65, -124?\nAnswer: -235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 150 = 2*k, -19*k = m - 18*k + 23. Let w be 1\/((-7)\/m + -2). What is the third biggest value in w, 0.2, 0.06?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -201*d - 11370 = -4*d + 182*d for d.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1855818, -1855869, -1855922, -1855977, -1856034, -1856093?\nAnswer: -1856154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 + -1. Let w be ((-14)\/(-7))\/(2\/x). Calculate the highest common factor of 110 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 170.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*a - 22*a = -3*c - 461, 4*a - 4*c - 364 = 0. Suppose 102*k - 1304000 = a*k. Round k to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 5*o + 39 + 13, 4*o - 52 = -2*x. Let y = x + -23. Differentiate -7 + 4*j**4 + 3*j**4 - y*j**4 - 3 wrt j.\nAnswer: 16*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**3 + 254*l**2 + 15872*l - 32768 = 0.\nAnswer: -128, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -126 <= -524?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -20*r + 16*r - 16, -3*w + 5*r + 16 = 0. Suppose 3*j + 256010 = w*c + j, 5*c = 2*j + 640010. Round c to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 7 = 9*f - d, f - 3*d = -1. Let r(c) = 4*c - 291*c**2 + 2 + 579*c**2 - 287*c**f. Calculate r(4).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - x = -12, -2*p + 5*x = 6805 - 6833 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -325*b - 16 - 67*b + 15.\nAnswer: -392*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*w**5 - 600*w**4 + 6640*w**3 + 33290*w**2 + 44235*w + 18190 = 0. What is w?\nAnswer: -2, -1, 17, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*x - 3*x + 271778. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12442220 and 344?\nAnswer: 1070030920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, -1474, 3\/7, -3\/4, 2\/3, -0.3, -0.014?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**3)**(2\/63) assuming t is positive.\nAnswer: t**(2\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14)\/sqrt(2) - sqrt(7))*-6)**2 - ((sqrt(378) - sqrt(42) - sqrt(42))\/sqrt(6))**2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 3) + 3 - (15 - (-10 + 2)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218949 is divided by 40.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -135, -510, -1247, -2466, -4287?\nAnswer: -6830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -221*t**5 + 2*t**4 + 505*t**2.\nAnswer: -13260*t**2 + 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/248928 and -85\/36.\nAnswer: 746784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-18)*3 + (-2)\/4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 51, 117, 209, 327, 471?\nAnswer: 641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**3 - 7*b**3 + 48*b**3 + 10*b**2.\nAnswer: 42*b**3 + 10*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5766134 divided by 2\nAnswer: 2883067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-90) + 8\/48?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2 and -0.0671917?\nAnswer: 0.2671917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6576 + 6575.8. Which is the nearest to g? (a) -0.21 (b) 1 (c) -1\/2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x - 273 + 273.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6318075 - 2?\nAnswer: 6318073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 193.0000173 + -193. Round f to six decimal places.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5203839?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 43038?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/4, 0.1, 5, 3, 147, -3\/7 in descending order.\nAnswer: 147, 5, 3, 0.1, -3\/7, -7\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 314 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1545895989?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 0*h + 5*h)*(-3*h**3 + h**3 + 0*h**3)*(9*h - h - 9*h).\nAnswer: 6*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 315 and 31362625?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -83 times -3069\nAnswer: 254727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-4)\/1*(2720\/(-20))\/34.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -407130234.4785979 + 407114867.73. Let x = 15373.7486 + h. Let t = 7 - x. Round t to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-95))\/(975\/6825*1\/25) + -4\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -5*t - 13. Calculate w(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 57260239499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 5*y + 4. Let k(g) = 6*g + 5. Let u(w) = -w**3 - 2*w**2 - w - 8. Let r be u(-3). Determine r*k(o) - 5*m(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 4*q - 3. Let b = -3 + -1. Let x(z) = -13*z**2 + 4*z + 13. Let a(r) = 3*r**2 - r - 3. Let v(l) = -9*a(l) - 2*x(l). Calculate b*v(p) - g(p).\nAnswer: 3*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-4))\/(6\/(-4)). Put -3, v, 0.5 in descending order.\nAnswer: 0.5, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22.2 - 25.2. Which is the fourth smallest value? (a) 2 (b) 1\/4 (c) 0.2 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.12977 - -0.02977. Which is bigger: s or 696?\nAnswer: 696","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 b when three letters picked without replacement from jbbjujujuavujvuxa?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 0 + 7 - 4 + 11*z as r + h*z and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 47055881 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23716?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6*(-3)\/6 - 19\/6. Sort 0, l, -3.5, 5 in increasing order.\nAnswer: -3.5, l, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -20836, -41663, -62478, -83275, -104048, -124791, -145498?\n\"Answer: g**3 - 20834*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -58*x**2 + 6*x + 4. Give u(-1).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/6)\/(3*2\/(-12))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 + (7 - 0) + 4 + (-20 - 4)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 38505361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/736 and 79\/768.\nAnswer: 17664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 286*a + 91. Let i(f) = 19*f + 6. Let g(v) = -91*i(v) + 6*m(v). Let x(q) = q**2 - 25*q. Calculate x(g(z)).\nAnswer: 169*z**2 + 325*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 4*z**2 - z - 7. Let v be m(-4). Let o(w) = -7*w - 9. Let g(f) = -6*f - 8. Let c(i) = 5*g(i) - 4*o(i). Calculate c(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40561682?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 15 = -21. Solve -t*b - 3*c - 12 = -5, -3*b - 19 = -4*c for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*b**2 - 29*b**2 - 122*b - 12 + 12 + 48*b**2.\nAnswer: 3*b**2 - 122*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -5*f + 35. Let r be i(7). Solve k + 4*k + 15 = r for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23 * 140762.\nAnswer: -3237526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12b (base 13) in base 5?\nAnswer: 1311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -187*j - 190*j + 372*j.\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of -i**3\/2 + 30*i. Let b(a) be the third derivative of -a**4\/12 - a**2. Determine b(f(y)).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l + 4. Let f(g) = 5*g**3 + 91*g**2 + 13*g - 59. Calculate the remainder when f(-18) is divided by q(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 489323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2759 is divided by 39?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8520.5924 and 0.5?\nAnswer: -4260.2962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -104, -245, -446, -707, -1028?\nAnswer: -1409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*z - 20*z = -17*z - 906360. Is 6 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -75, 2, 269 in increasing order.\nAnswer: -75, 1, 2, 5, 269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 a factor of 6462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -7. Let t be i\/(-20) + (-80)\/100. Put -3, t, -1\/15 in ascending order.\nAnswer: -3, t, -1\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*u + 10*u - 3*u to q + a*u and give a.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 6. Let r = t - 3. Let w = -3 + r. Let i(j) = 2*j - 2. Let y(l) = 4*l - 5. Calculate w*y(v) - 5*i(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16419 - 16415. Which is the fourth smallest value? (a) -8 (b) 0.1 (c) u (d) 3 (e) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48305 to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 4*c**3 - 2*c**3 + 1 + 3*c + c**2 + 19*c**3 - c**3 as b*c**2 + r*c**3 + g*c + i and give r.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1216 + -719. Suppose -369 = -6*w - 1911. Let h = w + r. Round h to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14688 + -31758. What is l rounded to the nearest 1000?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -1. Let t(q) = -71*q**2 + 2*q - 3. Calculate -5*i(c) + t(c).\nAnswer: -71*c**2 + 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**3 + 2 + 12*d - 5*d**2 - 24*d**3 + 11*d**3 - 10*d to the form p + q*d**3 + u*d**2 + h*d and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/327200 and 21\/26176?\nAnswer: 654400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 230968*h**4 + 71*h**3 + 20442168*h**2 wrt h.\nAnswer: 5543232*h + 426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4*b + 15 = 0. Let w = b + -2. What is the least common multiple of w and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5578 + 11157 + 410*m**3 - 5579 - 112*m**3.\nAnswer: 298*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/3, -3, 3, -2.802, 4?\nAnswer: -2.802","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/113 + -1137\/791. Let p = 0 + 6. Let q = -6 + p. Which is bigger: z or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -5) + -3 - ((-2 - 5) + -23)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -11*u + 2. Let v be m(-2). Suppose -3*b + b + v = 0. Is b a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -6*w - 94. Let c(q) = 2*q + 31. Let o(l) = 16*c(l) + 5*p(l). Let j be o(-16). Is 1\/j - (320476\/(-24))\/13 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/62966 and 7\/28169.\nAnswer: 1070422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13305807599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 688 is divided by 685.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -164388 (base 9) to base 13\nAnswer: -37367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n - 4. Let p be z(16). Let h(b) = 886*b + p*b**2 - 886*b. Let c(i) = 5*i**2. Determine c(h(s)).\nAnswer: 720*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 2*y - 28, 3*y = 4*y + 1 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-33 + 156 - 83)*(-2*l + 7*l - 2*l) to the form j + t*l and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2559753 divided by 12\nAnswer: -853251\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 13*1 - (1 - -2). Suppose f = -0*s - 2*s. Sort 4, -1, s in increasing order.\nAnswer: s, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6427 - -346\nAnswer: -6081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -14*a**3 - 4 + a + 4*a**3 + 6 - a**2. Let l be n(-1). Suppose 4*y - 24 = -4*s, -5*y - 3*s + s + 27 = 0. Solve 0*t - l = y*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**1)**(2\/3)\/(p**(-4\/9)*p*p*p**(-2)) assuming p is positive.\nAnswer: p**(4\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 687*d**3 - 26081270*d**2 + 26156509*d - 75926 = 0.\nAnswer: 2\/687, 1, 37963","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 - 1)*(3 + 1 - 2)*(10*a**4 - 2*a**4 + 0*a**4) to the form b + d*a**4 + v*a**2 + i*a + u*a**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-22) - 7232\/(-396) - (-4)\/(-9)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3101303 (base 4) in base 15?\nAnswer: 3ea2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i - 5. Let f be m(-5). Let d(k) = k**3 - 5*k**2 + 3*k + 4. Is d(f) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2648 divided by 3?\nAnswer: -2648\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -699*p + 664*p = -420 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - (45 + -3) - -49.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 248.6 - 249. Which is greater: u or 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*r - 32*r + 9*r)*(-9*r**4 + 8*r**4 - 4*r**4) + (-6*r**4 + 0*r**4 + 3*r**4)*(-4 + 2*r + 4).\nAnswer: 204*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 3*f + 3 = 0, -4*m - 16 = -3*f + 8. Let p = 80\/7 - 226\/21. Let u = 3.94 - 4. What is the nearest to p in u, -2\/9, m?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-9)\/6)\/((-6)\/8). Suppose 3*s + t = 4*s. Let d be 15*16\/(-480)*0\/1*1. Solve s*c + 0*c - 10 = d for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 406 and 28877272.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80647*t**2 - 6 + 5 + 161294*t**2 - 80668*t**2 + 1.\nAnswer: -21*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-126)\/(-8)*(-3180)\/2385.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 - 12*h - 33. Let i be u(-6). Let j(p) = p**3 + 8*p**2 + 3*p - 8. Let a = -17 + 10. Let z be j(a). Solve -i*d = d - z for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 423*d**2 + 1281*d + 70. Give u(-3).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29374 - 29555.27. What is j rounded to the nearest 10?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9976 and 4.\nAnswer: 9976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-2 - -3) + 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 8*z - 5*z - 400, -500 = -5*f + z. Suppose -f = -30*n + 50. Suppose 0*x + 4*x - 17 = 3*s, -5*s - 11 = 2*x. Put -2, s, 1, n in decreasing order.\nAnswer: n, 1, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.3 + 0.3. Let h(i) = i**3 + 5*i**2 - 7*i - 7. Let t be h(-6). Let u = 373\/5 + -75. What is the closest to t in b, 1\/5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/4242 and -89\/4301286.\nAnswer: 3041009202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 21879, 42840, 63801, 84762, 105723?\n\"Answer: 20961*m + 918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence umwo when four letters picked without replacement from {o: 5, r: 2, w: 2, m: 1, x: 1, u: 5}.\nAnswer: 5\/4368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.6, -4, 2\/11, 6.5?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30613, 30612, 30611?\nAnswer: 30610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = i - 7. Suppose 4*l - i = 0, -2*y - 5*l + 135 = -0*y. Calculate the remainder when y is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2*r - 11 = -5, 0 = h + 2*r - 4. Solve 3*g = -2*g - 4*x - 1, -x + h = 2*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -229 - (154 + -378) - (1 + -27 + 1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 5*a + 4 = -6, 4*p = -4*a + 56. Let b = -54\/131 + 5333\/1179. Calculate the common denominator of b and (2\/7)\/((-1)\/p).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 10. Sort -5, -3, 1\/3, v in descending order.\nAnswer: v, 1\/3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7194385?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*v + 6 + 48. Let u(y) = -y**2 + 2. Let t(f) = f**3 + 6*f**2 - 11. Let o(g) = 2*t(g) + 11*u(g). Let h be o(1). Solve h = -v*x + 2*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 933 (base 16) in base 4?\nAnswer: 210303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**2 + 395*i - 1192. Let s(k) = 8*k**2 + 1581*k - 4766. Let h(q) = -17*n(q) + 4*s(q). What is the derivative of h(o) wrt o?\nAnswer: -4*o - 391","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*119\/34*9*(-20)\/(-90).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -80506 by 6654.\nAnswer: -40253\/3327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 + -0.1. Let d = -6.72 - -10.81. Let h = 0.09 - d. Which is the second biggest value? (a) h (b) v (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -10, -2, 1, -678, -36 in ascending order.\nAnswer: -678, -36, -10, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 264 divide 952557399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00454751757 to 7 dps.\nAnswer: -0.0045475","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -19*p - 1. Let g be f(-1). Suppose -n + 6 = -0*q - q, -n - g = 5*q. Suppose -6 = 2*a - 8. Put -1, a, q in decreasing order.\nAnswer: a, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 44*j**2 - 115*j - 1955. Give c(-42).\nAnswer: -653","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6415609793 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b**3 + 3*b**3 - 11*b**3 - 6460812*b**2 + 6460813*b**2.\nAnswer: -2*b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/18)*u*(u**(-7)*u)\/u*u**(-1\/15)\/u**22)**(-7\/5) assuming u is positive.\nAnswer: u**(17717\/450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 26650521 or 26650544?\nAnswer: 26650544","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 4*i + 1, 3*m + i - 7 = -0*i. Suppose m*p - 4*v - 115 = 0, -4*v + 0*v = 3*p - 107. Let o = p - 25. Solve -3*a + 3 = -o for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -14*u - 329. Calculate y(-28).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 q when two letters picked without replacement from {e: 1, p: 2, q: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 12 = -3*p + p, 5*p - 4*u + 6 = 0. Suppose -i = p*i. What is the units digit of (-2 - i) + 5\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7135*q + 472397 + 262508 = 0 for q.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - 9*c**2 + 3*c - 11. Let n be f(-9). Let l = n - -55. Calculate the highest common divisor of 34 and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*t**3 + 19*t**3 + 18*t**3 + 13*t**3.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 4:29 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17647 is divided by 5869.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 567 is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**3 - 2*l**3 - 15*l**3.\nAnswer: -16*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, 0.06, 0.8, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48679?\nAnswer: 48679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 2)*(3*u**2 - 3*u**2 - 2*u**2) + 4*u**2 + 4*u**2 - 4*u**2 + 3*u**2 - 4 + 7 - 5.\nAnswer: 9*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 = x - 0*x - 10*u, -x - 767*u - 767*u = 2*x - 1530*u + 33 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 817454?\nAnswer: 2, 11, 73, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/13 (b) 8 (c) -74.9475\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1320 - -1111?\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29321.\nAnswer: 109, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + (16\/(-84))\/(6\/(-45)). What is the closest to -0.1 in 4, 3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23305 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 455279356 and 756278.\nAnswer: 455279356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*i - 14 - 6. Let t = 306 + -2756\/9. Which is the closest to -1? (a) 1\/4 (b) i (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -84, 4, 2\/7, 7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14757, 14758, 14759, 14760, 14761, 14762?\nAnswer: 14763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 371 + -194. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 880, 879, 878, 877, 876, 875?\n\"Answer: -a + 881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 108959777 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 6597, 6601, 6605, 6609, 6613?\n\"Answer: 4*z + 6593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7913.8 or -526.3?\nAnswer: -526.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -6*j + 8*j. Let x(u) = 2*u**2 + 5*u - 2. What is the remainder when x(4) is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -11 + 144 + -128.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 + 3*k + 4. Let b be y(4). Suppose -s + 44 + 23 = b. Calculate the remainder when s is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -61 + 86. Suppose -27 = 2*g - m. Let t be 54500*(60 + 0)\/g. Round t to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2166, -4, -2\/3, -3, -0.5.\nAnswer: -4, -3, -2\/3, -0.5, 2166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52 + 71 + 4*x**2 - x**2)*(1 - 1 - 4*x**2).\nAnswer: -12*x**4 - 76*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 417792 is divided by 15347.\nAnswer: 3423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (9\/(-4))\/((-6)\/(-48)). Let v = -17933\/3 + 5978. Do v and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 19, 0.461, 1.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/3, -1.1, 4, 35, 39, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1172 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 116.2969391+-5.2\nAnswer: 111.0969391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1652 = -2*n - 2*i, 18*n = 20*n + 3*i + 1656. Let k = 816 + n. Let d(g) = 2*g**2 + 12*g - 3. Determine d(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194763 is divided by 93074.\nAnswer: 8615","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9065 + 9065 + 4119*r.\nAnswer: 4119*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 minus -0.07736773?\nAnswer: -0.72263227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/5 (b) 0.2 (c) 24\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 5*u**2 + 12*u - 10. Give j(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1875473417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 521048.\nAnswer: 2, 11, 31, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 4*k + 5*o + 15 = 0, -2*k - 2*o + 12 = 0. Suppose 3*y + 0*y = -m + 800, -4*y + 3989 = k*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1087565 is divided by 362520?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7 + -34878363900.\nAnswer: -34878363900.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-9)*684\/1425.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2582831 divided by 1?\nAnswer: -2582831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -6936613 - 0.3?\nAnswer: -6936613.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 617.3067 micrometers in kilometers?\nAnswer: 0.0000006173067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/37 in 5\/4, -6\/19, -0.3, 0.7, 2\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 279\/8091 + (-35)\/(-667)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 100337?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 58, -979, -3480, -8177, -15802, -27087?\n\"Answer: -122*w**3 - 183*w + 363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/11, -0.1, 3\/10, -1, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 2\/157, -1.1 in descending order.\nAnswer: 2\/157, -0.2, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -14.107071 and -0.044.\nAnswer: -14.151071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = 24 - 44 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 5:10 AM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1142034220 (base 5) in base 4?\nAnswer: 22100232033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 629 = 5*x - 3*n, -373 = -3*x + 4*n. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*a**2 - 58*a**2 - 4*a + 8*a - 4*a**2 - 62*a**2 in the form y*a + q*a**2 + x and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 67836191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 321?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -197.3 - -197. Let u = 0.1 - 0.1. Which is the second biggest value? (a) l (b) u (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -82, -2\/15 in descending order.\nAnswer: -2\/15, -2, -4, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-9)\/(-6))\/((-6)\/(-20)). Suppose h = -j - 0. Let r = j - -5. Solve r*d = -d + 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 s when two letters picked without replacement from {w: 2, v: 1, s: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + (sqrt(11) + 2 + sqrt(11))*-6)*2.\nAnswer: -22*sqrt(11) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/1449 and -57\/8533.\nAnswer: 76797","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 660200 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 490 = 5*g - 0*b, -5*g = 3*b + 490. Let l be ((-6)\/7)\/(21\/g). Suppose -6*r + l*r = 8, -20 = -4*n + r. Solve 5*c - 3 - 3 = t, -n*c = -4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b**5\/5 + 365604*b**4\/5 - 23414296*b**3\/5 + 68049224*b**2\/5 - 67317996*b\/5 + 4463492 = 0. Calculate b.\nAnswer: -91465, 1, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) - sqrt(21))*-6)\/(2*sqrt(147)).\nAnswer: -3*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35611757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 1:50 AM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 41, 3, -4, -165, -5 in increasing order.\nAnswer: -165, -5, -4, -2, 3, 5, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z**5\/3 - 32*z**4\/3 - 104*z**3 - 544*z**2\/3 - 256*z\/3 = 0. What is z?\nAnswer: -2, -4\/5, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pcpccrrcccc. What is prob of sequence pr?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5437 + -3756. Let s = -924 + y. What is the hundreds digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2. Let m(q) = -25513281*q**2. Determine f(m(x)).\nAnswer: -650927507384961*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fucfrif. Give prob of picking 1 f, 1 c, and 1 r.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of 0*o + 0 - 1\/2*o**3 + 3*o**2 - 1\/20*o**5 - 1\/4*o**4. Factor a(m).\nAnswer: -3*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0252 and 79.\nAnswer: -1.9908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 71090*j + 71096*j - 40 = 0, -d = 2*j - 10 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1245250 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 14342\/7, 4, -4\/3, -16, 1\/4, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -13 + (2 - 6) + 7 + 0\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 l when three letters picked without replacement from {l: 5, e: 2, h: 2}.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 313 divide 49155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((7*k + 0*k - 2*k)*(-67 - 5 + 38)*(-2 + 3 + 1) + 2*k + 0 + 0)*(1 - 6 + 2).\nAnswer: 1014*k","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/13508279 and 95\/338412.\nAnswer: 162099348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/1260 and -101\/13860?\nAnswer: 13860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*u**3 - 39716056*u + 39716056*u.\nAnswer: -14*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -500ba (base 13) to base 10.\nAnswer: -142958","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {w: 2, i: 5, r: 5}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -695.762 - -4.362. What is i rounded to the nearest ten?\nAnswer: -690","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 152.14 - 197.8. Round h to the nearest integer.\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 2 <= 614?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 500887601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z**3 + 5*z**2 + 2*z - 2. Give u(-5).\nAnswer: 363","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 583346136 to the nearest integer?\nAnswer: 836","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -4*n + 55. Let r be x(13). Let w(o) be the second derivative of 0*o**4 + 1\/2*o**2 - 1\/6*o**r - 1\/20*o**5 - o + 0. What is w(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 83964 and 384.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*w - 151 + 1387 = -312 for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162 = 5*f + 4*a - 2*a, 0 = 4*f + 3*a + 131. Let z be (-12)\/54 + f\/18. What are the prime factors of (2\/(-4))\/(z\/148)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**5*s - 3568747*a**2*s**2 + 659*a*s**2 + a + 876*s**2 + s + 1 wrt a.\nAnswer: 20*a**3*s - 7137494*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*l - 62*l + 108 = -119*l. Solve -9 = 3*v - l*o, 7*v + 4*o - 13 = 6*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 3 = o. Let v = o + 39. What is the common denominator of 71\/18 and ((-3)\/66)\/(2\/v)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 d when three letters picked without replacement from zvgbzzvgzbzvdvzvdz.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13554 a multiple of 251?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -293073233849.00002722 + 293073237247. Let d = -3398 + n. Round d to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fooffhiopooffjh. What is prob of picking 1 o and 1 i?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q + 7. Let z(m) = -m - 6. Let j(p) = -6*t(p) - 7*z(p). Let o(c) = c**2. Let w(f) = -2*f**2. Let s(b) = -3*o(b) - 2*w(b). Calculate s(j(n)).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p**2 + 2. Let z(f) = -357*f**2 - 2*f - 12. What is 6*c(g) + z(g)?\nAnswer: -369*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 - 20. Sort 4, -2, t in decreasing order.\nAnswer: 4, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of -f**5\/30 + 99*f**4\/4 + 542*f**3\/3 + 3030*f**2. Find the first derivative of n(g) wrt g.\nAnswer: -4*g + 594","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41520 is divided by 8303.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 2:55 AM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(2) - 2*(sqrt(2) + -3 + sqrt(2) + sqrt(2))))**2 + 1 - 1*(-5 + sqrt(128) + 5)**2.\nAnswer: -540*sqrt(2) + 647","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -21*7\/133 + 2\/19 - -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13182*h**3 - 2*h**2 + 10086 wrt h?\nAnswer: 79092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80875.35 centuries to decades.\nAnswer: 808753.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23211 + -12347. Is n a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 3*l**3 - 1404*l**2 + 162855*l + 331350 = 0.\nAnswer: -2, 235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159 = -m - 2*r, 0 = m - 0*r + 5*r - 150. Is 33 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 8*r**3 + 251*r**2 + 37*r - 92. Determine i(-31).\nAnswer: 1644","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 5 = 3*h + 30, 3*v = 2*h - 86. Let y = v + 43. What is the lowest common multiple of y and 114?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + h + 3, -4 = -w - 2*h - h. Suppose -f - w = -4. Let n = -0.034 - 2.966. What is the closest to -0.1 in n, -5\/6, f?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193888 >= 746?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from ixixxxxxxixxxxx?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z**2 + 27\/4 - 63\/4*z = 0.\nAnswer: -3, 3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57638057 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12365\/6 - 2068. What is the common denominator of ((-3)\/(-2))\/(-3)*31 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 58 - 87. Let j(c) = -c**2 + 131. Let t be j(-21). Let w = t - -281. Are v and w equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c + 3 - 12813*c**2 + c - 2*c - 4.\nAnswer: -12813*c**2 - c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/2714 and 101\/472.\nAnswer: 10856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*a**3\/3 - 348*a**2 - 11340*a - 87300 = 0. What is a?\nAnswer: -15, 291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y**2. Let t(b) = 3*b + 41. Let a be t(0). Let j(m) = -83*m + 41*m + a*m. Give o(j(i)).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -8, -2, -32?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 856*s**2 - 9*s - 432. Let y(d) = -215*d**2 + 2*d + 108. Let k(g) = 2*f(g) + 9*y(g). What is the derivative of k(t) wrt t?\nAnswer: -446*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5\/(-2))\/(1\/2). Let l = -16.1 + 15.81. Let o = -0.11 + l. Sort -4, -3\/2, o, i in increasing order.\nAnswer: i, -4, -3\/2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**(2\/5)*b)\/b)**20)**(1\/69)*((b*b*b**(-5))\/b**(3\/5))\/(b**(-1))**1 assuming b is positive.\nAnswer: b**(-279\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i**3 - 2*i**2 - 17. Let u(z) be the first derivative of -1\/3*z**3 + 5 - 8*z + 0*z**2 - 1\/4*z**4. What is 6*l(f) - 13*u(f)?\nAnswer: f**3 + f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 + 44.9. Let f = -31.9 + j. Which is the nearest to 2\/7? (a) 0.2 (b) -0.2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 50*u - 16. Let j be l(1). Suppose -j*v + 111 = 3*v. Let x = -5 + 7. Sort v, x, -4.\nAnswer: -4, x, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by 128?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1253929 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 251970708?\nAnswer: 2, 3, 11, 1908869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1366.\nAnswer: 2, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9\/(-15))\/(3 + (-34)\/10). Let m(d) be the first derivative of 1\/3*d**3 + 0*d + v*d**2 - 2. Find the second derivative of m(x) wrt x.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5900 and 3068.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m - 4. Suppose -4*l = -5*x + 15 - 0, -3*l = -x + 3. Suppose -57 = -x*a - 21. Suppose 0*c = -3*c + a. What is d(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -351\/589, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 2 - (4 - 24). What is the highest common divisor of 42 and i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rlnlnnlrnnplflnrrrr. What is prob of sequence lnp?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4033*b**3*j + 755*b**2*j**2 + 16*b*j**2 + b*j - 82*b - 2*j**2 - 27 wrt b?\nAnswer: -24198*b*j + 1510*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26\/7*k**2 - 1\/7*k**3 + 445\/7*k + 418\/7.\nAnswer: -(k - 38)*(k + 1)*(k + 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*j + 60 = -20*j. Let l be (-4)\/j - (-22)\/10. Let b(x) = -x**2 - 11*x - 6. Let q be b(-5). Solve -3 = o + l*h, -5*h + h - q = -4*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/5))**(3\/7)*(s**(1\/10))**(9\/10) assuming s is positive.\nAnswer: s**(183\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 0 + 6 - 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-11)\/4 + 1\/(-4). Let m(v) = -v**3 - 2*v**2 - 3*v + 1. Let g = 37515 + -37504. Calculate the remainder when m(f) is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j - 608 = -578. Suppose -3*y = -j*h + 228, h - 12 = -4*y + 89. Calculate the greatest common factor of h and 1377.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k\/k**(-6)*k)*k)\/(k*k**(2\/7)*k*k)*((k\/(k\/k**2))\/k)**31)**47 assuming k is positive.\nAnswer: k**(7473\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4*m - 28. Let i = -36 + 49. Is v(i) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11172 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 294 + -158. Calculate the greatest common divisor of 17 and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 - 5*b - 3. Let m be (-1)\/3 + 2\/6. Suppose -88 = -4*p - m*p. Let q = p + -17. Give k(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 + -9. Let j = 9 - m. Find the common denominator of j and (6\/10)\/((-2)\/35).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5084, -10132, -15146, -20126, -25072, -29984?\n\"Answer: 17*n**2 - 5099*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5, 0.4, -4\/7, 2\/3, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 6 + 22 = 0. Suppose -7*y + d*k = -2*y - 15, 4*k = 0. Solve y*b + b - 12 = 4*i, 8 = -4*b for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jzz when three letters picked without replacement from zpppzjypzpyl.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10122093 a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.4 - -192.54.\nAnswer: 194.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -422730 by -990.\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k = -19*k + 310. Solve 13 - k = -f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 4*u - 10. Let l = 0 - -6. Let s be b(l). Let t(f) = 11*f**2 - 1. Let a be t(3). What is the highest common divisor of a and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 802 and 1.\nAnswer: 803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(204) + 6*sqrt(204)*2)\/(sqrt(12) + sqrt(1728)*-1) + -5 + (-4 + (sqrt(2057) - (-2*sqrt(2057) + 1 + sqrt(2057))))**2.\nAnswer: -2342*sqrt(17)\/11 + 8248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2659 divided by -102931\nAnswer: 2659\/102931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -53, -0.3, 1\/6, -24?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78113*i**3 + 0*i**2 - i**2 + 78533*i**3 + i**2.\nAnswer: 420*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/64308 and -53\/31602.\nAnswer: 14726532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 2*c**5\/13 - 76*c**4\/13 - 102*c**3\/13 + 72*c**2 = 0?\nAnswer: -4, 0, 3, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 4*m + 3*n, 3*m - 4*n + 376 - 387 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 - 622940.40779.\nAnswer: -622940.90779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*i - 128*i + 136*i - 131*i to c + v*i and give v.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37322, -37320, -37318, -37316?\nAnswer: -37314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -290 smaller than 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 + 0*p**2 - 3*p**2)*(-6*p**2 + 3*p**2 + 0*p**2) + 0*p + 2*p**4 + 0*p + p**4 - p**4 + p**4.\nAnswer: 9*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -11*r - 196. Is g(-19) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -5*g**2 - 24*g + 11. Let w be o(-5). Suppose 13*s - 294 = w*s. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42.51262 rounded to 1 dp?\nAnswer: -42.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 4*r - 16, -2*b - 2*r = 3*r - 8. Suppose -8 = -4*y + 4*l, 5*l = b*y + 4*l - 8. Solve -o + m - y*m - 6 = 0, -2*o + m = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-20)\/(-4) - ((-21)\/(-6))\/((-13)\/104). What is o in -363\/2 - 3\/2*o**2 + a*o = 0?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1208.8458 minutes to days.\nAnswer: 0.83947625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 2, 1\/7, -2\/5, -11\/108 in increasing order.\nAnswer: -2\/5, -11\/108, -0.1, 1\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w + 12 = -0*w. Suppose 2*b = 3*x - 18, 0 = -x + 2*x - 4*b - 16. Let d = x + w. Solve d*o + 0*o = -15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b + 1. Let c(i) be the second derivative of i**3\/3 - i**2\/2 + 31*i. Let z(m) = 2*c(m) + 6*k(m). What is z(-5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 4*b = v - 30, 14 = -3*v + 4*b. Let i(y) = -3*y**2 + y**2 + 2*y + 3*y**v + 7. Is i(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-70)\/(-21))\/1*(-9)\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilometer in millimeters?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2 + sqrt(63)*1 - sqrt(630)\/sqrt(160)) + (5*1*sqrt(7) - sqrt(7) - -2*sqrt(175) - -1*((sqrt(343) + 0)**2 - sqrt(343))).\nAnswer: -2*sqrt(7) + 335","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -14. Let g(i) be the second derivative of -i**3\/6 - 5*i**2\/2 + 13*i. What is the units digit of g(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -299, -300, -299, -296, -291, -284, -275?\nAnswer: -264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-47 - (139 + -68))*((-2)\/5 + (-3)\/(-6)).\nAnswer: -59\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 27\/72*-4 + (-3)\/(-2). Suppose -18*k + 54 = -n*k. Solve 3*s = -k*g + 6, 3 = -s + g + 1 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 417.58 and 27.\nAnswer: 11274.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.98, 489.2, 2\/37 in increasing order.\nAnswer: -0.98, 2\/37, 489.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -27772, -55478, -83180, -110878?\n\"Answer: 2*t**2 - 27712*t - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3858591*-7\nAnswer: -27010137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + (-2 - 24\/(-6)). Let z be (1 - c - (-17 - -19))\/(-2). Solve 0*s - s + z = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -8*w**2 - w**2 - 14 + 15 + 2*w**2. Let o = 3 + -1. Suppose 4*b = o*b + 2. Calculate c(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 6*y**3 - 2*y + 2. Let q be f(2). Let s = q - 26. What is the least common multiple of s and 2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - 5*u + 8. Let g be o(-6). Suppose 15 = 3*r - 3*c, 3*c + g*c - 38 = -2*r. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**2 + 1908397780*u - 182099104335446420.\nAnswer: -5*(u - 190839778)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 140 = 8*s. Let q = -23 + s. Suppose q = -10*o + 2. Which is bigger: o or -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, d: 4, r: 6, c: 1, l: 2, w: 2}. Give prob of sequence dcc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1061476476 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8016 + 80059\/10. Find the common denominator of o and -139\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -551, 2\/11, 1\/3, -2, -5, 2\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/3 + (-9044)\/741 + 13. Let j be 2*(1 + (-60)\/8). Let u = j - -12. Which is greater: u or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3799 + -3801. Let y(b) = b**2 - 4*b**3 - 2 + b**2 - 1. Let g(w) = 3*w**3 - w**2 + 2. What is i*y(z) - 3*g(z)?\nAnswer: -z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -22\/246387 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2311311223 (base 5) to base 16\nAnswer: -4f126f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 2*u + 7618 + 4909, -h + 4169 = -4*u. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1660 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 2\/(108\/693)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**(-5\/4)))\/(p**(3\/8)*p))**(-19\/5) assuming p is positive.\nAnswer: p**(19\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3508701.\nAnswer: 3, 7, 167081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 398419, 796764, 1195109, 1593454, 1991799, 2390144?\nAnswer: 2788489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*n = -11*n + 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -99 (b) 1\/5 (c) -4 (d) 1\/3 (e) -1826\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/15 - (-17)\/12. Let d = -4.4 + 8.4. Put d, s, 1, 2 in descending order.\nAnswer: d, 2, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3548751161?\nAnswer: 739, 4802099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 45196 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: Sort 193, -158697, -3.\nAnswer: -158697, -3, 193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233295 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -168*s**2 + 6*s. Let p(i) = -45444*i. Give p(u(x)).\nAnswer: 7634592*x**2 - 272664*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4596 is divided by 470.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13858*n**3*x + 20*n**3 + 2413*n**2*x + 2*n**2 + 17*n + 2 with respect to x.\nAnswer: -13858*n**3 + 2413*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 470160545?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i + 12. Let g = -1 + 5. Suppose g*n - 64 = -12. Calculate the remainder when n is divided by r(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -46130, -92252, -138372, -184490, -230606?\n\"Answer: p**2 - 46125*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 9*f**5\/2 + 15051*f**4\/2 - 130865*f**3\/2 + 424929*f**2\/2 - 305844*f + 164738 = 0.\nAnswer: -1681, 2, 7\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 257 + -141. Suppose -w - 3*n - 44 = -2*w, -3*w = -5*n - r. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dxfu when four letters picked without replacement from fudxv.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3500479120?\nAnswer: 2, 5, 43755989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 260 and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3\/7, 0.094, 17, -3, -0.9 in descending order.\nAnswer: 17, 4, 0.094, -3\/7, -0.9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -991*k - 920 = -876*k for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2212220201 + -2100000?\nAnswer: 2210120201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5*v + 18 = 0, 3*f - 31 = -8*v + 3*v. Let a = f + -5. Suppose -46 - a = -3*u. Solve -5 = -3*y - 5*m, -3*y = -m + u + 3 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -3*h + 8. Suppose -5*v + 4*r + 186 = 0, -h*v = r - 102 + 25. Calculate the greatest common divisor of v and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b + b - 3*b + 0*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -26103 (base 10) to base 9\nAnswer: -38723","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -304, -816, -2194, -4870, -9276?\nAnswer: -15844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 4 = -8. Suppose y = 4*m + h, -4*y + m = -2*m - 16. Suppose -4*w = 5*j - 60, -y*w + 3*w = 2*j - 27. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y - 5*v + 6*v + 6 + 46, -3*y = -v + 4*v + 147 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, v: 6, r: 7}. Give prob of sequence rvv.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (13 - 11) + 5 + (-315)\/25 + 5. Which is the third biggest value? (a) 5\/2 (b) -6\/5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7946195 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -266 + 656. What are the prime factors of r?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45640307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 7*h**2 - h. Let j be b(1). Suppose 0 = -3*y + 7*y - 2*i + 68, 4*y + 2*i + 52 = 0. Let v be (-47)\/y + 24\/(-180). Solve 6*r = v*r - j for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.05 + -0.45. Let f = -72.3 - -67.3. Which is the third biggest value? (a) f (b) -0.2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (2 - 11 - -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7957 and 119657366?\nAnswer: 7957","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*l - 2 - 2 + 2)*(-18 - 2*l + 9 - 8)*(-99 - 30 + 16)*(3 - 2 + 1) to u*l + z*l**2 + h and give h.\nAnswer: -7684","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 d when two letters picked without replacement from {b: 6, o: 2, u: 2, p: 1, v: 1, d: 6}.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -121 and -1062043.\nAnswer: 128507203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 l when two letters picked without replacement from oojjllljoljlo.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 314 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-21) - 94\/(-14). Suppose q = -5*p - 13. Let r(b) = -6*b - 5. Does 9 divide r(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, y: 1, m: 1, j: 2}. Give prob of picking 1 j, 1 q, and 1 y.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 2857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3293.328 + -3268. Let w = j + 0.372. Let o = w + -28. What is o rounded to 0 dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 9) to base 12.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 23 = -4*p, -13 = -v + 4*v - p. Let n = 5 + v. Suppose n*z = 5*z - 10. Solve z*r + 2*j = 8, -3*r + 5*j - 11 = r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3197 - -3198. Which is the nearest to 0? (a) -0.3 (b) -1\/8 (c) 7 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*p - 92 + 5 - 11 = 82 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + t - 179 = 0, 6*i - 5*t - 185 = i. Let c = 214 + -204. What is the least common multiple of i and c?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(14*(-1)\/2*(-204)\/(-42))\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(396) + -1*sqrt(396) + 5) - 3*(sqrt(1100) + sqrt(1100)*3)**2*-4.\nAnswer: 211195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50039640?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 5, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*l = 952 - 1132 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84203.03ml to litres.\nAnswer: 84.20303","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 3*(sqrt(117) - (sqrt(117) + 1) - sqrt(117) - sqrt(117)))**2 - (((sqrt(117) - (sqrt(117) + sqrt(117) + 1 + sqrt(117) + sqrt(117)))*4)**2 + -5).\nAnswer: -12611 - 72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 4:11 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 68*l - 1285. Determine y(-89).\nAnswer: 584","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and 431 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99551 is divided by 1483?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 + 10 - 3 - 5)\/(-3). Let d = -11 - -6. Which is the third biggest value? (a) 3 (b) d (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, g: 5, q: 1}. Give prob of sequence gg.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3*v = -a - 73, 0 = 5*v - 3*a - 93. What is the greatest common factor of 144 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88949 = -715*w - 3149 for w.\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 89*r**2 + 4*r + 14. Let u(n) = -94*n**2 - 5*n - 15. Determine 5*u(b) + 6*y(b).\nAnswer: 64*b**2 - b + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 17, q: 3}.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that r**5 + 5*r**4 - 74*r**3 - 82*r**2 + 73*r + 77 = 0.\nAnswer: -11, -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1212738?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 + -20?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -516 - -521. Let w(x) be the third derivative of -x**4\/24 + 11*x**3\/6 - 4*x**2. Give w(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 8 = 3*i + 2*a, 5*i + 4 = 2*a. Factor i + 12\/7*n - 44\/7*n**2 - 16\/7*n**3.\nAnswer: -4*n*(n + 3)*(4*n - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of -c**9\/5040 - c**8\/2240 + c**7\/840 + c**6\/240 - c**4\/2 + 6*c. Let x(f) be the third derivative of g(f). Factor x(u).\nAnswer: -3*u*(u - 1)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 + 30. Is 0.2 <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18213767 is divided by 9106880?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 4:53 PM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -0.2 (b) -21 (c) 2 (d) -30 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-24) + (-2266)\/8. Let a = -283 - p. Is 2 bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4486*-2.\nAnswer: 8972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**5\/8 - 891*y**4 + 5659587*y**3\/8 - 756441195*y**2\/4 + 2231313525*y\/2 - 1664006625.\nAnswer: 3*(y - 790)**3*(y - 3)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1716*h**3*j + 7*h**3 + 6583*h**2*j + 2*h**2 wrt h.\nAnswer: -10296*j + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3373325 to the power of 1\/3, to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*b + b. Suppose 4*i - 2*i = b. Is 50\/2*i + -3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 229*p - 137959 = 92*p. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 5*p**2 + 4*p - 6. Let u be a(-6). Suppose 5*d - u = 2*o - 0*o, 5*o - 4 = 3*d. Suppose -6 = 2*s, -c = -d*c - 5*s + 134. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 48 = -0*i. Let t be i\/(-9) + 0 + 2. Let r = -26.6 + 27. Sort r, 5, t in increasing order.\nAnswer: t, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/8 of a microgram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -3 + 3 + sqrt(76))**2 + 2.\nAnswer: 16*sqrt(19) + 94","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -3*o + 24. Let n be p(9). Let m(x) = -51*x - 13. Is m(n) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*v + 29 = -87 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1325 a factor of 15884100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j - 513*j**3 - j + 512*j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 3750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - 10*a - 8. Let i be o(9). Let s(g) = 2*g**2 - 2*g + 11. Is s(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 + 8*m**2 - 26*m + 142. What is the lowest common multiple of 2\/7 + (-243)\/(-7) and t(7)?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, k: 7, n: 4, q: 1, y: 3}. What is prob of sequence uqky?\nAnswer: 7\/8160","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/212 and 127\/6?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -0.2, 4\/5, 2907, 8\/3, -0.1, 8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3399, -2443, 2861, 12519, 26537, 44921, 67677?\n\"Answer: n**3 + 2168*n**2 - 5555*n - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 65 - 65.000051. Round o to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3*g - 17 + 31 + 4*g. Let q be z(-11). Suppose 4*j + 5*d = 13, -5*j + 4*j + 5*d = q. Solve -3 = j*n + 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 334 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/62040 and -89\/1410.\nAnswer: 62040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0009425744 to five dps.\nAnswer: -0.00094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 48 - 172 = 0. Let t(l) = -54*l + 2. Let u be t(-2). Calculate the greatest common divisor of u and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-3)\/9*5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -12e5fb - -13f?\nAnswer: -12e4bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 495.7592896 minus -0.0321?\nAnswer: 495.7913896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 4. Let m be 4\/6 + 26\/y. What is the second derivative of -11*j**4 - j**m - j + 11*j**4 wrt j?\nAnswer: -20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.031? (a) 4 (b) -504 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42, 11, 2, 5, 64, -30.\nAnswer: -42, -30, 2, 5, 11, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11052*j**3*x - 37*j**3 + 31*j**2*t**2 - t**2*x + 5*t**2 - 2*t*x wrt x?\nAnswer: 11052*j**3 - t**2 - 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17902 is divided by 2912?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (203*o**3 - 83524 + 83524 - 3*o**2)*(2*o + 1 - 1).\nAnswer: 406*o**4 - 6*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -289291\/6 - -48089. Let g = 329\/61 + -34561\/244. Let a = g - t. What is the common denominator of -85\/8 and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 522 by 87.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.1081 rounded to one dp?\nAnswer: -34.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10729\/4 - -2705. Suppose 17*p = 12*p - 110. What is the common denominator of t and (-3 + 2*p)\/11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 171, -2\/3 in decreasing order.\nAnswer: 171, 0.3, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26 - -54. Let y be l\/(-80) - 2\/8. Let n = -0.636 - -2.636. What is the third biggest value in -13\/2, n, y?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of (-3)\/(1\/(-1)) + (-36 - -363)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-348)\/(-203) - 215\/105. Let h = -20 - -22. What is the closest to n in h, 3, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (2 - 3) - (5 + -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4579804?\nAnswer: 2, 1144951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-6 - 2) - (-2 - -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ull when three letters picked without replacement from lluuu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 4*t - 2. Let v(j) = 3*j**3 + j**2 - 13*j - 7. Let i = 1212 + -1205. Give i*f(o) - 2*v(o).\nAnswer: o**3 - 2*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 644.65 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + 8*y**2 + 13*y - 2. Let o be 4 + -1 + -3 + 12. Suppose -3*j = -2*j - o. Calculate the remainder when n(9) is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2961878523, 2961878517, 2961878501, 2961878469, 2961878415, 2961878333, 2961878217?\nAnswer: 2961878061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1551)\/(-231))\/47*-798.\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 642\/(-3 - -4) - (14 - 11). Calculate the highest common divisor of o and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86176763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 35*x + 2. Let g(c) = 32*c. What is g(o(a))?\nAnswer: 1120*a + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -8*c + 14. Determine p(4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5324) - (sqrt(5324)*2 - sqrt(5324) - sqrt(5324)))\/sqrt(4).\nAnswer: 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iw when two letters picked without replacement from {w: 10, c: 6, i: 2, o: 1, b: 1}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m. Let l(y) = -y**3 + 6*y**2 + 10*y + 47. Let z be l(8). Let f(n) = 8*n**2 + 2*n + 1. Give z*f(c) - 2*h(c).\nAnswer: -8*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 6*v - 1. Let y be u(1). Suppose -f = -4*f - 15, 25 = y*l - f. Suppose l*w - 11 = 9. Solve 3*p - 32 = -w*z, -p + 2*z = 4*z - 12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.14 - -917753.299.\nAnswer: 917753.159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -12259873, -24519746, -36779619, -49039492?\n\"Answer: -12259873*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, 5, -59?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 228 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(1\/4)\/k))**23*(k**0)**48)\/(k\/k**0*k**(-3\/4)*(((k**1\/k)\/k)\/k)\/(k**(-1)*k)) assuming k is positive.\nAnswer: k**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, -99, -173 in increasing order.\nAnswer: -173, -99, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 3*b)*(5 - 8 + 4 + 40 - 42 - 66 + (4 - 3 + 1)*(3 + 0 - 2)) as o*b + f and give o.\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -172177317?\nAnswer: 172177320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*4\/10 + (-748)\/170. Let d be 12 + 2\/(i\/(-4)). What is the greatest common factor of 14 and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 12*h**2 + 2*h + 14. Let j be 8\/(-3)*126\/(-24). Let q be 77\/j*-2 - 1. What is a(q)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100012200 + 200?\nAnswer: -100012000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1037518 is divided by 144.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*o - 13*o + 48 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + o + 28*v + 10*v = 500, -5*v = -65 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 2, -1\/5, 0.233?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 10:05 PM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 2\/17, -0.1139 in decreasing order.\nAnswer: 0.2, 2\/17, -0.1139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2636326?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 12:57 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 37 + 13 = 0. Let c be (11\/3 + -2)\/((-2)\/n). Put -2, 4, c, 0 in descending order.\nAnswer: 4, 0, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6831643290 + -0.5?\nAnswer: 6831643289.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31187?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1023, 1015, 1001, 981, 955, 923, 885?\nAnswer: 841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15621440161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 + h. Let t(j) = -2*j**2 - 5*j - 4. Let g(n) = -2*o(n) - t(n). Let q(v) = -5*v**2 - 4*v - 5. Calculate -4*g(a) - 3*q(a).\nAnswer: -a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/179, -1\/4, -7, -0.178, -2\/3?\nAnswer: -2\/179","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -703.42 and -42.\nAnswer: 29543.64","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ahg when three letters picked without replacement from {d: 1, g: 1, h: 1, o: 1, a: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2*h - 55 = 0. Suppose -20*n = -409 - 211. What is the remainder when n is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-15))\/((-7)\/(-1330))*(-2)\/(-16).\nAnswer: -19\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -858 = -834*v + 795*v for v.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 - 26 + 140*p - 74*p + 0 - 66*p - 8*p**2.\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -1 + 3 - (-24 + 32)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of -5*y**8\/84 - y**5\/4 - 16*y**2. What is the third derivative of z(q) wrt q?\nAnswer: -1200*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.09 - 0.57. What is o rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 230?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -n - 19, -4*z = -0*z - 3*n - 32. Suppose -24 = -z*c - 4. Suppose 5*u = c*u - 2*w, 5*u + w - 36 = 0. Solve f + f - u = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 4*u. Suppose -4*y - 3*c + 0*c - 135 = u, 0 = -2*y + 5*c - 35. Let t be y\/(6*1\/(-8)). Calculate the highest common divisor of 16 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/23 - 1270*h\/23.\nAnswer: -2*h*(h + 635)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*r**5 + 3*r**5 + 3*r**2 - r**2 + 9*r**5 wrt r.\nAnswer: 420*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 PM and 8:43 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 375408+-0.21\nAnswer: 375407.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -33429, -43496, -60273, -83760?\n\"Answer: -3355*l**2 - 2*l - 30072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4504, 0, -5, 1 in decreasing order.\nAnswer: 2, 1, 0, -5, -4504","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aagaccgacw. What is prob of sequence wcc?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32 + 152. Suppose 10 = 2*k, 7*k - n = -5*o + 3*k. Let v = -10687 + 10701. What is the lowest common multiple of v and o?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((47\/282)\/((-2)\/30))\/((-95)\/4). Which is the closest to 0.1? (a) -1\/7 (b) -0.2 (c) f (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 3) in base 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2186281819 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 4529 divide 419219892?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 26969957 to the power of 1\/5, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -544, -524, -468, -358, -176, 96?\n\"Answer: 3*h**3 - h - 546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 73881680*s**4\/9 + 531986536*s**3\/9 + 34570375*s**2\/3 + 53852*s\/9 + 7\/9 = 0.\nAnswer: -7, -1\/5, -1\/3844","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 177*g**3 - 60*g**3 - 51*g**3 - 57*g**3.\nAnswer: 9*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 9:56 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*u - 235 - 237 = -428 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.41 - -3.41. Which is the third biggest value? (a) -126 (b) -5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**2 + 42*w - 14 - w**3 - 20*w + 0*w**3 - 6*w**2 - 27*w. Let o(b) = -b**3 - 4*b**2 - 4*b - 12. Let k(f) = -6*g(f) + 7*o(f). Give k(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109 + 130 = 7*x. Put 4, x, -34 in decreasing order.\nAnswer: 4, x, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 68\/(-3) + 2\/(-6). Let j = l + 22. Let o = 8 + -3. What is the closest to j in -2\/7, o, 3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 22 (b) 4\/3 (c) 8.7 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -8*i. Let g(x) = -14*x + 9924. Calculate g(l(v)).\nAnswer: 112*v + 9924","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 3 + 2)*(10 + 3 - 17)*(-4*o**2 + 3 - 3) to d*o + x + i*o**2 and give i.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-20)\/36*(-2)\/5. Let s = -60.2 - -22.3. Let p = s - -39. Which is the third smallest value? (a) j (b) 0 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1336975 (base 13) in base 3?\nAnswer: -102100220221001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 14*m**2 - 2. Let n be j(-3). Suppose 3*s + 4*y + 0*y = n, 0 = 5*s + 4*y - 196. Let z = s + -26. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7615.\nAnswer: 5, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 104 + -123 + (4 - 1) + -7.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1*sqrt(19) + sqrt(19) + 5 + 4.\nAnswer: 2*sqrt(19) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1179219, 1179321, 1179437, 1179573, 1179735, 1179929, 1180161, 1180437?\nAnswer: 1180763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - g - 3*g - 41 = 0, 2*f = -g + 31. Calculate the greatest common divisor of f and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1487797*o**3*q**3 + 5*o**3*q**2 + o**3*q + 77*q - 317 wrt q.\nAnswer: 8926782*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 20419?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/38732 and 91\/114512?\nAnswer: 2633776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7894.333 weeks?\nAnswer: 4774492598400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1951998547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22903, -46254, -69605, -92956?\nAnswer: -116307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 41103 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 + 11*r - 27. What is m(9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 2*k - 17 + k)*(4*k**3 + 3*k**3 - 3*k**3).\nAnswer: -4*k**4 - 4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (20 - 107 - -85) + (-4 + 1 - -84)\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -247, 6, -4, -3, -272 in decreasing order.\nAnswer: 11, 6, -3, -4, -247, -272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24*(-15)\/45*2\/(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 65, 2, 5.\nAnswer: 1, 2, 5, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 19*b**2 + 7*b + 7. Let k(i) = -2*i**2 - 3*i**2 - 5*i - 10*i**2 - 5 + 2*i**2. Suppose -8*a - 10 = -10*a. Give a*p(v) + 7*k(v).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*n**2*o**2*y - 947*n**2*o*y**2 + n*o**2*y**2 + 9*n*o**2*y - 5*o**2 - 4*o - 2*y**2 wrt y?\nAnswer: -1894*n**2*o + 2*n*o**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 1:04 PM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 804\/20100 + (-926)\/25?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 250 + -246. Let o be a\/14*(-77)\/(-33). Solve o*n + 0 - 1\/3*n**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of n*s*x**2 - 44*n*s*x - 2*n*x**2 + n*x - 2*s*x**2 - 103 wrt s.\nAnswer: n*x**2 - 44*n*x - 2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9585957?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 585 and 1447225?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 23 + 889 = 2*x, 0 = -2*d + 5*x + 608. Sort 5, d, 1 in decreasing order.\nAnswer: d, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 152\/71 - 5241\/1420. Calculate the common denominator of i and -17\/404.\nAnswer: 2020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2993091 or 0?\nAnswer: 2993091","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/9 - 77967764*z**2\/9 - 25989254*z\/3.\nAnswer: -2*z*(z + 1)*(z + 38983881)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 + 30\/18)*(-6)\/2. Solve -p*b = -2*b - 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9471)\/(-22))\/123*40\/(-126)\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-32)\/6*(-3)\/2 and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 26, -1, 4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + -1)\/(0 + -1). Suppose x = -y + 2 - 0. Let n(g) = g**2 - 4*g**2 + 2*g**y. Let u(i) = -2*i**2. What is u(n(q))?\nAnswer: -2*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 186\/14 - 4\/14. Let u(z) = -2*z**2 - 98*z + 938. Let f be u(-57). Calculate the highest common divisor of f and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(24)\/sqrt(2) - sqrt(12))*2)\/(sqrt(4) + sqrt(16) + sqrt(32)\/sqrt(2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 847 - 846.98326. Round m to three decimal places.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 6*c**4\/5 - 2*c**3 - 2*c**2\/5 + 2*c - 4\/5 = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 2. Let b be ((-8)\/p)\/(1\/(-3)). Let f be (-1)\/(-4) - 1\/b. Which is bigger: f or -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1, -0.4, -4581?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, u: 5}. What is prob of sequence uu?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/4 - (-1)\/(-4). Let z be f*1\/(-2)*4. Suppose z*r - r = -3200. What is r rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -183282, -187036, -193292, -202050, -213310, -227072?\nAnswer: -243336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-3 + -1) - 5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14 + 13?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 3. Let d = 14 + l. Suppose 5*w - 67 = -d. Is 2 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 3*j + 12, 3*f - 3*j + 20 = 2*j. Put f, 4\/5, -11\/5 in ascending order.\nAnswer: -11\/5, f, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000163989763 rounded to 6 dps?\nAnswer: -0.000164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - (-6)\/2) + 3. Suppose 0 = 2*w + 4*m + m - 20, -4*w - g*m + 52 = 0. What are the prime factors of 339\/w - (0 + (-8)\/20)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, b: 3, x: 4, l: 5}. Give prob of picking 1 e and 1 x.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8747438 a multiple of 742?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 579484\/13585 - 6104\/143. Calculate the common denominator of 4\/95 and j.\nAnswer: 1235","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49 + 30*h**2 + 405*h - 38 - 405*h - 32*h**2.\nAnswer: -2*h**2 - 87","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7168 is divided by 94?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12336 and 14.\nAnswer: 86352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -5*t**5\/4 - 12099*t**4\/2 - 38705*t**3\/4 - 1209*t**2 + 2419*t = 0.\nAnswer: -4838, -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (1 + sqrt(117))**2)*-6 + -2)*3*-5.\nAnswer: 540*sqrt(13) + 10650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -492522 and -12?\nAnswer: 5910264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 8) to base 16.\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-9))\/(1\/(-4)*10).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1435 + 1970. What is the second smallest value in s, -2\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -68 (c) -2 (d) -14 (e) -5 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/10 of a milligram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 25\/8 in 4, -186, 0.3, 5\/3, 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4329*w**3 + 4332*w**3 - 8654*w**3.\nAnswer: 7*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, i: 2, x: 1, s: 1, b: 2}. What is prob of sequence yxs?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 657 a factor of 5819555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 28\/(-238) - 1130\/(-646). Which is bigger: w or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -s - 5*y + 16, s + 4*y = 11. List the prime factors of 6084\/429 + (-18)\/(-22) + s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 14*j**2 - 59*j - 47. Let f be h(-6). Let d(v) = v**2 - 3*v - 7. Let g be d(5). Let x = g + -1. Solve -2*m = 3*p + f, 2*m + x = m for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 AM and 9:51 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -700 divided by -7\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 9818, 9833, 9848, 9863, 9878?\n\"Answer: 15*r + 9803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -134158 by 450.\nAnswer: -67079\/225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 851*g**3*h + 3*g**3 + 8864*h - 1708668 wrt h.\nAnswer: 851*g**3 + 8864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93426.77 minutes to seconds.\nAnswer: 5605606.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + sqrt(68) + sqrt(68) + -4 + sqrt(68))**2 - (-4 + sqrt(1700))**2.\nAnswer: -612 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, y: 4, q: 1, c: 1, t: 1}. Give prob of picking 1 t, 1 m, and 1 q.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6006 divided by -3003?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1123.\nAnswer: 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 3405378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 198, -25, 2, -27, -1 in ascending order.\nAnswer: -27, -25, -1, 2, 3, 198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -0.07\nAnswer: -0.014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -t + 2*k, 0 = -4*t + 3*k. Let g(m) = -m**2 + 7*m - 3. Let y be g(3). Let d be 6\/(-28)*(-12)\/y. Which is bigger: t or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 23301521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*o + 173*o + 736 + 3145 + 1219 for o.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3318 divided by -10\nAnswer: 1659\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63244?\nAnswer: 2, 97, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5265378919 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 1.02. Is x != 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17735741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/4 at least as big as 10359\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16201.\nAnswer: 17, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4575 + -4574. Let z = 3 - 0. Which is the closest to t? (a) -0.5 (b) z (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15144 = -40*a + 114696. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-2) - (-12)\/8. Let u be 76 - (0 - i)*1. Suppose -5*t + 108 = -u. Calculate the smallest common multiple of t and 4.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1771 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/5 (b) 0.03 (c) 1\/6 (d) -6857\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 6*y**2 + 2*y + 1. Let s be a(-1). Let x = -3 + s. Suppose 6 = -2*j, -4*r + 7 = -x*j - 19. Solve r*b - b + 4 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.03, 2, -1.1, 0.6, -72, 2\/9, 2\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 734 = -0*f + 2*f, 3*z = -5*f + 554. Let a = z - 123. Is 7 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 3133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3060706*-0.01.\nAnswer: -30607.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 258 + -257.3. Sort 4, -0.2, c in decreasing order.\nAnswer: 4, c, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = d + 12, 5*o + 13 = -2*d. Let v be (o\/3)\/((-8)\/6). Is 14 less than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/43 <= 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3*m + m**2 - 221 + m**2 + 209 - 4*m**2 + m**3. Let x be t(3). Solve 20 = -x*k + 2*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 50 + -50. Let b(v) = -2*v - 8. Let u be b(-6). Put -2, u, t in ascending order.\nAnswer: -2, t, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/(-4) - (-3 + 7 + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11700 divided by 5.\nAnswer: 2340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94495101?\nAnswer: 3, 31498367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -301 * 0.26.\nAnswer: -78.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44 + 0. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iziiiiizii. What is prob of picking 1 i and 2 z?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 118816777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 870 and 202746.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 - 3*h**2 + h**2)*(-h**3 + 0*h**3 + 2*h**3) + 5 - 5 - 3*h**5.\nAnswer: -4*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-18))\/(71*(-10)\/41535)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b + 31 = -14. Let i = -36 - -71. Calculate the highest common divisor of i and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 16*x**2 + 20*x - 3. Let n be q(-14). Suppose -3*t + 62 = -n. Calculate the remainder when 454 is divided by t.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 184, 218, 20, -404, -1048, -1906?\n\"Answer: h**3 - 122*h**2 + 393*h - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39 or -5?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -3*u + 237. Let n(v) = -v. Give -12*n(i) + r(i).\nAnswer: 9*i + 237","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3152 (base 7) to base 2.\nAnswer: -10001011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6 - 24\/20) + 2\/10. Sort 1, -4, s in decreasing order.\nAnswer: s, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 154, 258, 392, 556, 750, 974?\nAnswer: 1228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7, b: 7}. What is prob of picking 1 b and 1 z?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*q, 152*a - 150*a = 3*q - 17. Let m = -0.9 - -6.9. Let d = m - 3. What is the fourth biggest value in 5, -3, d, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 3*q + 570, i - 564 = -17*q + 16*q. What is the highest common divisor of 33 and i?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qssqqqqqqq. Give prob of picking 2 s.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2*r + 0*r + 1 = 0, 2*t = -2*r + 2. Calculate the greatest common divisor of t and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*i = 2*g - 30*i + 12, -5*i = 2*g - 33 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 + 465 = -4*k. Let z be (-4)\/(-26) + k*(-3)\/(-390). What is the closest to 37 in 5, z, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.444 - 0.156. Which is the second biggest value? (a) x (b) -2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + 15*a**2 - 747*a - 11203. Calculate m(-15).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/3 + 23*s\/3 + 376.\nAnswer: -(s - 47)*(s + 24)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-2 - (-9 + 3)) - -8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 7*o - 355 = s, -2*s + 4*o = 698. Let c = 354 + s. Let r(q) = 3*q - 4*q - 2*q + q. What is r(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d**5 + 18160*d**4 + 2157420*d**3 + 6345200*d**2 + 4205936*d = 0 for d.\nAnswer: -4418, -119, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((25\/2)\/(-5))\/((-140)\/42). Factor 3\/4*h**2 + 1\/4*h**3 + k*h + 1\/4.\nAnswer: (h + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -14 (b) 7\/2 (c) -0.4 (d) -4 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 588 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 399 + -5987\/15. Let v = -1.951 + -0.049. What is the biggest value in v, 0.5, f?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2b7a8 (base 13) to base 15\nAnswer: 19725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 13*k**2 - 3*k - 11. Let z(v) = 7*v**2 - 2*v - 6. What is -4*g(a) + 7*z(a)?\nAnswer: -3*a**2 - 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (2 + -3 + (8 - 5)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27300.4932 rounded to the nearest one hundred?\nAnswer: 27300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -221312324 (base 5) to base 11\nAnswer: -5a8957","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**8\/(f*f**(-3))*f**16*f**(-2\/25) assuming f is positive.\nAnswer: f**(648\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oaribrm. What is prob of sequence oi?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 7*d**2 + 20*d + 38. Let q be o(-6). Let g = -27 + 12. Let x be 1*6\/g - q\/40. Which is bigger: x or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 594 at least as big as -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1*sqrt(2)*-1*-6 + 3 + 4.\nAnswer: 2 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 6, j: 5, u: 5, s: 4}. What is prob of picking 3 c and 1 u?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58324737.\nAnswer: 3, 19, 73, 107, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 4742 (c) -4 (d) -1\/225\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, -4, -25, -64, -127, -220?\nAnswer: -349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 284*x - 135*x - 120*x - 182323. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-37)\/690 - (-168)\/1932\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**2 + 0*a**2 - 4*a**2)*(-6 + 6 - 2*a) - 41*a**3 + 23*a**3 + 74*a**3.\nAnswer: 70*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1073 and 6.\nAnswer: 6438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.35 - -19.35. Let q = 24 - w. What is the second biggest value in q, -4, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -5*i + 59. Suppose -5*w + i = 0, -2*j = 2*j + 2*w + 4. Which is smaller: 3 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 f when three letters picked without replacement from efff?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -207.05 - 1?\nAnswer: -208.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*n = -34*n - 532. List the prime factors of n.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8690101 and 5.\nAnswer: 43450505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 742275*n**3 + 242656 with respect to n.\nAnswer: 2226825*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**4 + 250*p**3 + 2145*p**2.\nAnswer: 5*p**2*(p + 11)*(p + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2244893 and -0.01?\nAnswer: 22448.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0042251 rounded to 4 dps?\nAnswer: -0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 314 + 135 = -93*o - 202 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48 + -49 + (2 - (8 + -1))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 462414 is divided by 1003.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 339 - 477. Let j = 136 + k. Are j and 25 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 5*w + 15. Let y = -1 + 1. Which is the closest to -0.05? (a) y (b) w (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 9681 and -6500.\nAnswer: 3181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*t = r, -1701*t + 1696*t + 4*r - 142 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 - (-15 + 49) - (11 + (13 - 11))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 5 + (5 - 1) + -4 + 9.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 17 + 124*p**2)*(12*p**2 + 17*p**2 + 9*p**2).\nAnswer: 4712*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -255170 to the nearest one thousand.\nAnswer: -255000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2 = -4*h + 2*h, 3*c = -3*h. Let r be 0*h*5*11\/(-55). Suppose r = -16*g + 20*g - 60. Solve 0 = 5*o + q + q + 25, -2*q = 3*o + g for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -0.9. Let n = g - 3.6. What is n rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73\/(-4)*-9*1122\/2295*(-30)\/33.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 30\/(-60) - 5\/(-2). Find the third derivative of 4*g**3 + 31*g**3 - 9*g**3 - g**o wrt g.\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s - 12 = -48. Solve -5*j + 16 = -s for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 72*w**2 - 68*w**2 + 41*w - 5*w**2 - 34*w. Let f(r) = 325*r**2. What is k(f(x))?\nAnswer: -105625*x**4 + 2275*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j - 2*j + 2 + 3*j. Let i(r) = -5*r - 38. Let a be i(-8). List the prime factors of l(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand c + c + 0*c + (-3*c + 5*c - c)*(-5 + 4 + 2) + (-c + c - 2*c)*(-3 + 1 - 2 + (-3 + 4 + 1)*(-3 + 4 - 3) + 1 + 5 - 5 + 1 + 3 + 2).\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -8822212 divided by 5\nAnswer: -8822212\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4470715759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-1*(sqrt(136)*-2 - sqrt(136)))\/(sqrt(8) + sqrt(128)\/sqrt(4)))**2.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -879\/7 + 126. Let j(a) = a - 4. Let n be j(4). Sort n, g, 0.2 in increasing order.\nAnswer: n, 0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2171946*c + 2502992 wrt c?\nAnswer: 2171946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**4 + 45834*x**3 - 174420111*x**2 - 4910746428*x - 34438224492.\nAnswer: -3*(x - 7653)**2*(x + 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -639*u + 4469. Determine q(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1.391592 times 101\nAnswer: 140.550792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**3 - 5*q - 3. Suppose -2*d + 0*d - 2*o = 16, 0 = 5*d + 4*o + 35. Let b be a(d). Let f = b - -60. What is the highest common factor of f and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of 5*i**7\/42 + 61*i**6\/3 + 1456*i**5 + 168560*i**4\/3 + 3731840*i**3\/3 + 15366400*i**2 + i - 109. Factor x(l).\nAnswer: 5*(l + 10)*(l + 28)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -7*j**2 - 12*j - 51. Let n(d) = d**2 + 2*d - 1. Give -g(o) - 6*n(o).\nAnswer: o**2 + 57","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8740 divided by -190.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/3*181\/724.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101101000 (base 2) to base 3.\nAnswer: 111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.09 + 0.09. Is s equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 28323 = 5*c - 2867, -31174 = -4*i + 3*c. What are the prime factors of i?\nAnswer: 5, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(136) - (sqrt(136) - sqrt(136)*2 - sqrt(136)))*1 - sqrt(136)) + (-4*(sqrt(136) - sqrt(136)*4) - sqrt(136)))\/(1*sqrt(648)*-3*-1))**2.\nAnswer: 2873\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2575, -0.4, 22, 0.529?\nAnswer: 2575","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 4*z = 1088, 4*q - 6*z = -10*z + 1516. Calculate the least common multiple of 342 and q.\nAnswer: 21204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, b: 4}. Give prob of picking 2 w and 2 b.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 5:44 PM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)\/sqrt(3)*2 - sqrt(18))\/((3*sqrt(24))\/sqrt(4))*-2.\nAnswer: -2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/530 and -6\/15715?\nAnswer: 1665790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -42*w + 8994. Determine x(214).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63146066 is divided by 2956.\nAnswer: 2950","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4469, 4513, 4557?\n\"Answer: 44*r + 4425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 525 + 453251322?\nAnswer: 453252251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 90*r + 69 - 2002*r**4 - 88*r + 35*r**4 + 22 wrt r?\nAnswer: -23604*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 133723, 133750, 133803, 133882, 133987, 134118, 134275?\n\"Answer: 13*f**2 - 12*f + 133722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**2 - 47*x + 31. What is the lowest common multiple of a(23) and 92?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -124 + 180 + (-108 - -52)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -10, -6.\nAnswer: -10, -6, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/290 and -113\/638.\nAnswer: 3190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 648 (b) 50 (c) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216 = 68*s - t, 9 = -9*s + 8*s - t for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0795 - 0.08319. Round d to 4 dps.\nAnswer: -0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24927 greater than 25352?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11239 to the power of 1\/2, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278 is divided by 139?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 34 from -43.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-39.2.\nAnswer: -3.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, o: 2, e: 6, j: 3, l: 4}. Give prob of picking 1 o and 2 e.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*(o\/(o*o**(-2\/17)*o*o*o*o))\/o*o*o**(-2)*o)\/(o*o\/o**(-2\/7))**(-8))\/(o**(2\/9)*o*o*(((o**(-9)\/o*o)\/o)\/o)\/o*o)**(-35) assuming o is positive.\nAnswer: o**(-312538\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 201449 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v**2 - 3. Suppose -17 = 5*n + 5*p - 57, 10 = 5*n - 5*p. Suppose -j + 10 = -0*m - 4*m, 5*m = -n*j. What are the prime factors of w(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*n + 22*n = -2*i + 15, 3*i - 9 = 0. Suppose -138 = n*s - 4*y, y + y - 174 = 4*s. Put s, -1, -4 in descending order.\nAnswer: -1, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000345123 rounded to six decimal places?\nAnswer: 0.000345","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -28*i**2 - 30*i - 19. Let m(t) = 9*t**2 + 10*t + 6. Let x(o) = 7*m(o) + 2*z(o). Is x(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 81 + 47 + 128 - 7 + s**3 + 2*s in the form y*s**3 + o*s + u + x*s**2 and give u.\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 7. Suppose 3*j = -5*q + 23, 4*q - l*q - 11 = -3*j. Find the second derivative of -q*p + 3*p + 2*p**2 - 6*p wrt p.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1400964 or -30821199\/22?\nAnswer: -30821199\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41\/(492\/48) + (-21)\/(-33)*-6.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -420.42 and 0.13.\nAnswer: -54.6546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.14 - -5.14. What is the third smallest value in -0.1, l, 1\/4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -7 - (10\/2 - 9) - -385. Suppose w + 689 = 9*o. Calculate the greatest common factor of o and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1023 is divided by 329.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-171)\/792 + 4\/44. Let s be 0\/(0 - (0 - -2)). Which is smaller: u or s?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*c + 186*c + 4212 = 0 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**4 - 4*m**3 + 2*m**2.\nAnswer: 2*m**2*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1830944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 274 - 271. Let n(l) = -4*l**2 + 1 - 8*l + p*l + 5*l**2 + 3*l. What is n(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 141 - 133. Suppose -4*i - z = -4*c, 2*i = -5*c + i + 28. What is the remainder when c is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 12*c**3 - 2*c + 1. Give p(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m**2 - 2*m**2 + 1 + 2*m - 33. Let o be d(0). Let y = 36 + o. Put 0.2, 0, y, 2 in ascending order.\nAnswer: 0, 0.2, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2148*z - 28. Let m(n) = -1074*n + 13. Give 6*h(j) + 13*m(j).\nAnswer: -1074*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**2*c*c**(-1\/6)\/c assuming c is positive.\nAnswer: c**(11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30 - 27. Sort -1, k, 0.2, -1\/3.\nAnswer: -1, -1\/3, 0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6361, 9258, 8693, 4666?\nAnswer: -2823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -99, -951, -3269, -7785, -15231?\nAnswer: -26339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of 0*a - 9\/4*a**3 + 0 - 1\/40*a**5 - 3\/8*a**4 + 63*a**2. Factor b(c).\nAnswer: -3*(c + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-3)*((-132)\/(-242))\/(24\/33)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0792 + -55.8808. Let z = 55 + a. Let q = z - 0.04. Is 6 greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 - -2*(-2)\/(-16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20604343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -248 - -250. Suppose 4*s - n*b - 10 = 0, 3*s - 13 = -5*b + 1. Determine t, given that 5\/7*t + 1\/7*t**s - 2\/7 - 4\/7*t**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 5. Suppose 2*n + 0*l - 15 = 3*l, 0 = 5*l + 25. Suppose -h*c = 2*a - 2*c - 31, -4*a + 2*c + 38 = n. What is the lowest common multiple of a and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 f, 1 m, and 1 d when four letters picked without replacement from fmmfgiidv?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16\/121 or 0?\nAnswer: -16\/121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5400062722.\nAnswer: 2, 43, 461, 136207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13123001 + 0?\nAnswer: 13123001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/14)\/(6876\/(-1528)).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 86, 91, 96, 101, 106, 111?\n\"Answer: 5*q + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(896)*-4)\/(sqrt(242) - (sqrt(242) + -2*sqrt(242)*2)).\nAnswer: -16*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 549.6465 millennia?\nAnswer: 6595758","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.13 and 92.951.\nAnswer: 93.081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1585 - 1585.1. Which is the nearest to f? (a) 2\/3 (b) 4 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, y: 1, k: 2, d: 1}. What is prob of picking 2 k, 1 d, and 1 v?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 9:50 PM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gk when two letters picked without replacement from {e: 1, g: 11, k: 8}?\nAnswer: 22\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 4*w + 18, -p + 2*w = 7*w + 8. Suppose 74 = 4*f + p*q, 2*f - 58 = -f - 4*q. Let b = f - 4. What is the remainder when 51 is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -2 (c) -1 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 - 5*j. Let q(x) be the first derivative of x**3\/3 + 26. Calculate r(q(d)).\nAnswer: -d**4 - 5*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.055 - -0.054866. Round a to five dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06959 to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, -561018 in decreasing order.\nAnswer: 2, -2, -561018","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) -5 (c) -3 (d) -1541433 (e) 5\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -1, 31 in increasing order.\nAnswer: -1, 16, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 447, 456, 487, 552, 663, 832, 1071, 1392?\nAnswer: 1807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 + 4*o + 9. Let q(s) = -s**2 + 7*s + 18. Let u = 10 - 5. Let j(a) = u*c(a) - 2*q(a). Find d, given that j(d) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 4273020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + 14\/(-2 + 0). Let z(s) = -2*s**2 - 2*s + 9. Let f(i) = 6*i**2 + 6*i - 26. Let c(y) = -6*f(y) - 17*z(y). Determine c(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 39 = 63. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 56 - 32. Let j = 34 - z. Find v, given that 26*v**2 - j - 5*v**5 + 9*v**2 - 15*v**4 - 10 + 5*v**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/130)\/((-22)\/(-2200)*-8)*32\/(-80)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qzl when three letters picked without replacement from {l: 1, z: 1, q: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-179 + 564 + 206)*(0 + 0 + 6*m).\nAnswer: 3546*m","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 24*j - 220. What is the remainder when 317 is divided by u(10)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -6\/147227?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 116566 or 116545?\nAnswer: 116566","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 10*f - 6. Let i(a) be the first derivative of -a**2\/2 + 4668. Determine 6*i(c) + t(c).\nAnswer: 4*c - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -7*g - 2. Does 16 divide r(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -11. Let t = 2 + -2.1. Let y = 0.2 + -0.7. Which is the third smallest value? (a) t (b) y (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bll when three letters picked without replacement from {i: 3, b: 6, l: 4}.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -32, -366, -1276, -3050, -5976, -10342, -16436, -24546?\n\"Answer: -48*u**3 + 2*u + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/5 (b) -9 (c) -3517\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**2 + 55*s + 90.\nAnswer: 5*(s + 2)*(s + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.3 (b) 0 (c) -12\/5 (d) -4.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3.62 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -1\/15, -5, 2.8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 15*l**2 - 18*l - 69. What is the hundreds digit of n(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8 - 0)\/1 - -2. Suppose 6*y = -2*y. Suppose y = -4*r + 3*n - 8 + 28, 3*n = -3*r + 15. What is the greatest common divisor of r and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 420 and 2623020.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1401 - 22387\/16. Let h(b) = 1171*b**2 + 1. Let q be h(1). Let z = -9339\/8 + q. Find the common denominator of z and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dgcck. What is prob of picking 1 c and 1 d?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 346a3 + 25?\nAnswer: 346c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -0.2 (b) -0.3 (c) -0.4 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 497571116.\nAnswer: 2, 7, 37, 331, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 4*b**2 - 10. Let s(t) = t**2 - 10*t. Let q(i) = -9*i**2 + 105*i. Let r(o) = -2*q(o) - 21*s(o). Determine r(x(h)).\nAnswer: -48*h**4 + 240*h**2 - 300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -63502 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 64.1 - 64.102702. Round o to four decimal places.\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*f + 223 - 652. Put -3, f, -1, 0 in decreasing order.\nAnswer: 0, -1, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - (-1 - 0)) + 216. Let y = k - 80. What are the prime factors of y?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 14 = 4*l, -4*c = -0*l - 2*l - 16. Suppose -52 = -c*r - h - 8, 4*h = -4. Calculate the remainder when 43 is divided by r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 - 0.1. Let l = p - 0.1. Let y = 0.15 - l. Round y to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -176 + 185. Solve -o = -t + 8 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*n - 3*n**2 + 4*n + 3*n + 2*n**2.\nAnswer: -n**2 + 14*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -36.54709 times -1.3?\nAnswer: 47.511217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a = -0*a - 209. Let s = -10 - a. Does 9 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 6351, 33, -5, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.495 to two dps.\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -1 + 6*g**2 + 1 - 4*g**2. Let t(m) = m. Calculate a(t(w)).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -361283004*i**2 + 3*i. Let x(j) = -j. What is f(x(l))?\nAnswer: -361283004*l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3 - -7)\/(-104))\/(1\/2)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -48, 0.13, -1, 5, -1\/2 in ascending order.\nAnswer: -48, -1, -1\/2, 0.13, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27 - 101 + 188 - 25*r - 35*r**2.\nAnswer: -5*(r - 1)*(7*r + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 15 = -2*f, -11*f + 4 = -15*f. Calculate the highest common factor of 391 and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/14 and 101\/1727992.\nAnswer: 1727992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1020955853\/28 - -36469578. Let f = a + -6871. Calculate the common denominator of f and -31\/22.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.13 in 0.1, 3\/10, 1\/165, 4, -80?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -120 + 123. Sort 1\/46, l, -1.\nAnswer: -1, 1\/46, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 397\/695 - -4\/139. Let m = 49.1 + 14.9. Let q = 66 - m. What is the nearest to q in -5, z, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*r - 3*r = -1144. What is the lowest common multiple of 44 and r?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - 12*m + 6. Let h = 1052 + -1042. What is g(h)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -182 - -2bd14?\nAnswer: 2bb82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of -28*v**2 + 8*v**3 - v**4 + 0 + 1\/20*v**5 + 0*v. Suppose q(d) = 0. Calculate d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 1130.\nAnswer: 4520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 207 and 3264930.\nAnswer: 75093390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 142 (base 7) to base 6.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/6*114\/(-95) + -9.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 0*o - 6*o + 11*o + 2 + o**2. Let b = -10 + 6. Let y be k(b). Let a(p) = p**3 + 5*p**2 + 4*p + 2. Calculate a(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 255*j. Let l(f) = -115514*f. Let p(b) = 4*l(b) + 1813*t(b). Let i(y) = -y**3 - 10*y**2 - 12*y - 26. Let a be i(-9). Is p(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8\/3 of a hour?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 11, 3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 122*s + 2. Let w(l) = 3*l. What is h(w(x))?\nAnswer: 366*x + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.71 - -0.71. Let f = -0.06 + -0.34. Which is the nearest to 2\/5? (a) 0.4 (b) f (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 - -7 - -16 - ((-3 - -3) + -1)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 328354.4ms to seconds.\nAnswer: 328.3544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/22)\/((-18144)\/(-7128))?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -14, -39, -88, -167, -282, -439?\nAnswer: -644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by 28?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 32, 3\/2, 0.3, -2, 0.01?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7 + (1\/1 - 3). Suppose -8*x + 7*x = -15. Solve 3*q - 29 = k*u, 0 = -u - 5*q + x - 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -21 + 93. Let d be 23\/(-3*3\/f). Let y = d - 22. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150379?\nAnswer: 150379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 15008225.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.09 - 0.09. Let r = -8 - -6. Let x = -4 - r. Which is the third biggest value? (a) 0.1 (b) v (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -106 - -109. Suppose -298 = -b*x - 37. Let v = x - 77. Is 4 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 19*r**2 + 13*r. Let c be p(-1). Suppose 24*d = c*d + 36. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/(-70))\/(2\/(-10)). Let s = 220.9 - 211. Let q = -9.1 + s. Sort t, 2, q in ascending order.\nAnswer: t, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f**3*x**4 - 11182*f**3*x**2 - 2*f**3*x + 22743575*f**2*x**4 - 113*f**2*x**2 + 2*f**2 - f*x**2 wrt x.\nAnswer: 24*f**3*x + 545845800*f**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.219 + 0.219. Let a be 2*1 + 40\/(-19). Sort r, 4, a.\nAnswer: a, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 14 + 11a?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(28) + 2 + -4.\nAnswer: -5 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -3*y + 13, -19*y - 3*h = -23*y + 7*y - 12 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-242)\/(-11))\/11*(-2)\/22. Let s = 0 - -1. What is the nearest to r in 2, -1, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*c - 1725 = 50*c - 50*c for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 18 = 9*y. Let w be y\/1 + (-3)\/(-1). Suppose 19*a - 17*a - 6 = w. Solve -p - 2*s = -s + a, 0 = -p - 4*s - 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6 + -1 + -2 + (-6)\/(-6). Suppose -3 = -d + 1. Suppose 29 = 3*r - d*t, 0 = 2*r + r + 3*t - 57. Solve -z*g - g + r = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154 - 85962*y**3 + 154 + 85965*y**3.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 6*o + 10*o = 20, -5*m + 4*o + 4 = 0. Let a = -41 - -61. Suppose -m*c + a + 0 = 0. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66\/(-1584)*18*3\/18?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1823 + 1822.6286. Let c = 0.0286 - w. Let s = -217\/5 - -43. What is the nearest to c in s, -1, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 48398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1168*g + 10030 = 199*g + 63325 for g.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5.8 and -38061623424?\nAnswer: 38061623418.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29849 - -29861. Sort 4, 1\/72, i in ascending order.\nAnswer: 1\/72, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 + 78*s + 373. Let c be k(-5). Let a(b) = b - 28. What is a(c)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.47 - -12.7.\nAnswer: 12.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a**5\/5 - 6*a**4\/5 + 6*a**2\/5 + 3*a\/5 = 0. What is a?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -7*g**2\/2 - 10*g + 3. Let w be q(-3). Let m be (2\/(-3))\/((-2)\/66). Calculate the highest common divisor of w and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8347a6 - 190?\nAnswer: -834986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -493*h**2 - 177*h**2 + 90*h**2 + (6*h + 28 - 28)*(h - 4*h + 2*h) - 10*h**2 - 6 + 1 + 11*h**2 to x*h + g*h**2 + q and give g.\nAnswer: -585","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 134db9 - -7?\nAnswer: 134dc2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 66 and 153274?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -1345155, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, 2\/9, 7 in ascending order.\nAnswer: 2\/9, 1, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 137*k - 7. Let q(y) = y**2 + 12*y + 13. Let d be q(-12). Let m = d - 11. What is the units digit of l(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5688 + 5690. What is the closest to 1 in -21\/2, s, -6\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 278 divided by -34442?\nAnswer: -139\/17221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 652, -3, -2, -2\/13, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8610 is divided by 2828?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/3 and 86\/22278435.\nAnswer: 22278435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, j: 3, c: 2, g: 4, r: 2, s: 2}. Give prob of picking 1 s and 2 g.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*m**2 - 2)*(13*m**2 - 41*m + 41*m) + m**4 - 2*m**4 - m**4 - 3.\nAnswer: -28*m**4 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 28938*z**2 - 93*z - 2904589?\nAnswer: 57876*z - 93","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -332 + 333.05. Let z = p - 2.75. Which is smaller: z or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**5 - 1158593*m**4\/2 - 579303*m**3\/2 + 3475783*m**2\/2 - 579295*m\/2 - 579297 = 0. Calculate m.\nAnswer: -2, -1\/2, 1, 579297","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 6 - 14 = 0. Suppose 0*k + 3*k - v = 5265206, -a*k + 3*v + 7020268 = 0. Suppose 0 = 5*x + k + 5744930. What is x rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 831421*w + 2. Let h be c(8). Let s = 4948630 + h. Round s to the nearest 1000000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 524470 and 1790.\nAnswer: 524470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -136 - 132 + 9*o + 272. Let p(i) = -i**2 - 6*i + 3. Let t be p(-6). What are the prime factors of d(t)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 2\/121 (c) -0.17 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -297*z + 299*z + y - 18 = 0, -z - 2*y = -15 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.641 - -0.041. Let f = y - -5. Sort f, -1\/5, 5 in descending order.\nAnswer: 5, f, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24063 divided by 617.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*f - f - 2*f + (-2 - f + 2)*(3 - 6 - 4) + (4*f + 0*f - 2*f)*(-1 + 4 - 1).\nAnswer: 13*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -14*a**4\/11 - 54*a**3\/11 - 34*a**2\/11 + 6*a\/11 = 0.\nAnswer: -3, -1, 0, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of x**4\/12 - 7*x**3\/3 - 5*x**2 - 2*x. Let f be n(15). Solve 5*j + f = -5 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 112012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2*s - 5 = 0. Let i be ((-3037)\/(-7) - s)*7. Suppose 0 = 10*c - 7*c - i. What is c rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27594 and 597?\nAnswer: 5491206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 29 * 2.2.\nAnswer: 63.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 4*v**2 + 4*v + 2. Let s be n(-1). Suppose -c + s*c - 8 = 0. Is c a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 580*u - 907. Does 166 divide a(64)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 9)*(-2*k + 6*k - 5*k + (-4*k - 56*k + 33*k - 116*k)*(4 + 7 - 12)).\nAnswer: -1562*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14453? (a) -0.4 (b) 2 (c) -0.02 (d) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3801, -3802, -3803, -3804, -3805?\nAnswer: -3806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.101 - -58.101. Let o = -52 + n. Let k = o + -5.99992. What is k rounded to 5 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**4 - 2*n**5 + n**4 + (-3 + 3 - 2*n)*(3*n**4 - 4 + 4).\nAnswer: -8*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 152036485 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 6*q**2 - 65*q + 240. Give s(6).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -19 + 31, -4*n - a = -111. Suppose 0 = 5*l + 54 - 189. Calculate the highest common factor of n and l.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -22 + 18 - 2\/(2*-1). Let l be 33 + -24 - (1 - -5) - r. Suppose -s + 3*s = 4. Solve -s*t - l = -2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d7 (base 16) to base 10.\nAnswer: -215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 2*t**4\/9 + 2444*t**3\/9 - 35456*t**2\/9 - 1046336*t\/9 + 738304\/3 = 0.\nAnswer: -1236, -16, 2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 PM and 5:00 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 29142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 11*h - 12634 = -12596, 0 = -4*k - 3*h + 10 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.033 - -487.\nAnswer: 487.033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -87*n**3 + 116*n**2. Let r(s) = -s**3 + s**2. Determine c(q) - 116*r(q).\nAnswer: 29*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*c = 16, 18*i - 13*i - 2*c - 20 = 0. Suppose 0 = -m - 2*m + 24. What is the least common multiple of ((-9)\/i)\/((-39)\/52) and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23 in -3, -1\/3, -23?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -529\/12 - -275\/6. Let p = -332 - -336. Sort -0.3, a, p in increasing order.\nAnswer: -0.3, a, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.08 + 0.08. Let v = -9 - d. Let s = 8 - 7.8. Put s, v, -1\/5 in decreasing order.\nAnswer: s, -1\/5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 1) + (32 - 68) + 41 - (5 + -82)?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 11*j**3 + 4*j**2 + 8*j + 15. Let k(c) = 7*c**3 + 3*c**2 + 5*c + 10. Let b(y) = -8*k(y) + 5*n(y). Determine b(-5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 105?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 11, 2\/17, 3, -125, 2\/11.\nAnswer: -125, 2\/17, 2\/11, 3, 11, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11025 - 10579.3. What is i rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w - 4. Let y(d) = -2*d - 9. Let b(n) = 9*i(n) - 4*y(n). Let r(q) = q**2 - 6*q**2 + 3*q**2. Give b(r(t)).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 10 = 5*i, 2*z - 5*z = -5*i + 20 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p + 5*l + 60, 26*p = -44396*l + 44399*l + 128 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2001173990?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w**1)**(-6)*w*w**7*w*w\/w**(-5))\/(((w*w*((w**6*w*w*w)\/w*w)\/w)\/w**(-1\/5))\/(w\/(w*(w\/(w\/w**(2\/3))*w)\/w))**(25\/4)) assuming w is positive.\nAnswer: w**(-521\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 48 + -c8?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 89ba0 - 1a?\nAnswer: 89b83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -293*x = -275*x - 4662. Calculate the greatest common factor of x and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -52145019 > -52145018?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 19515088 to the power of 1\/2, to the nearest integer?\nAnswer: 4418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 11*h**2 - 1044*h + 14745. What is g(15)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4122 - 2210692.\nAnswer: -2214814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 2*t - 3*t + 62, 29 = 2*l - t. Suppose -r = l - 13. Solve r*i + i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14222375?\nAnswer: 5, 113779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7297*f**2 - 19981*f**2 + 2527*f**2 + (3*f - f - 4*f)*(2*f + f - 2*f) to the form q + z*f + p*f**2 and give p.\nAnswer: -10159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 0.1 (b) -0.577 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of -1\/6*l**3 - 5*l + 0 + 1\/2*l**2. Let q be w(-2). Is 7 at most q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 13, e: 3, d: 3}. What is prob of picking 4 e?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 30*m - 14. Suppose y = 5*y - 40. What are the prime factors of a(y)?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + -28 - 111\/(-30)?\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -108256 - -49830. Let y = o + 30926. What is y rounded to the nearest 1000?\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(72) - (3 + sqrt(72) + -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 314144?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 244357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*k - 4*k - 9*k. Solve k = -23*h + 7*h - 16 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1271, 1270, 1269, 1268, 1267, 1266?\nAnswer: 1265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p = 4*p - 4*b + 4, -4*p = 5*b - 11 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 52*d**3*h**2 + 513*d**3*h*i - d**3*h - 13*d**2*h**2 - 37*d*h**2*i - 4*h**2 wrt i.\nAnswer: 513*d**3*h - 37*d*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31.1283549 - 44.12835521. Let h = s + 13. What is h rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/4*(-4)\/3. Let o(s) = s**3 + 3*s**2 - 4*s + 3. Let w be o(v). Solve -4*z - z - 10 = 4*a, w*z - 4*a = -6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34519716 to the power of 1\/3, to the nearest integer?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2646466 to the nearest integer?\nAnswer: 1627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-8)*(-2 - -4). Suppose q + 4*x - 52 = -3*q, -5*q - r*x + 61 = 0. Calculate the remainder when q\/(-1 + (-12)\/(-9)) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 348\/15834 + 5100\/(-182).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 112?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 114 and 207?\nAnswer: 7866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - 4) + -1 + 5. Suppose 5*m - 38 = -2*z, 5*m - m = s*z - 20. Calculate the highest common factor of 98 and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1837.\nAnswer: 11, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*n**2 - 2 - 3*n + 3*n**2 + 2 to the form l*n + t + g*n**2 and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*s**2 - 6*s**2 - 7*s**2)*(261 + 123 + 125 - 10).\nAnswer: -9481*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 7 - (-2 - -44)\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 103217112 from 2.58.\nAnswer: -103217109.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -43524.81, -2, 2\/17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*g - g + g)*(2*g**2 + g**2 - 4*g**2).\nAnswer: 2*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**2 + y - 1. Let n be z(1). Let v be 6\/75*55\/(-4). Let d = v + 8\/5. Which is smaller: d or n?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h. Suppose 5*r + 7 = -w, -w + 0*w - 6 = 4*r. Let m(i) = -2*i + 3. What is r*x(v) - m(v)?\nAnswer: v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.6 + -0.4. Let q = -5.05 + 0.05. What is the nearest to v in -2\/9, q, 1\/5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of v**6\/45 + 3*v**3\/2 + 13*v**2. Let g(m) be the first derivative of j(m). Let i(x) = -2*x. Determine i(g(h)).\nAnswer: -16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of u**4\/8 - 22*u**2. Let b(f) = -f. Determine b(s(r)).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -284*l**3 + 0 + 0 + 2*l**2 + 274*l**3 to h*l**3 + v*l + s + i*l**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 2 (b) 11\/2 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**2 + 7*n - 2. Suppose 3*s = -g - 18, -2*s + 8 = -4*s. Let q(o) = -2*o**2 - 8*o + 2. Determine g*r(k) - 5*q(k).\nAnswer: -2*k**2 - 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22.69 - 23. Let z = s - -0.01. What is the nearest to -1\/4 in z, -2\/7, -0.4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3894271 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 84 and 120.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -260, 6\/11, 1\/2?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 + 5*o + 242. What is l(-13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3410628487.488489 - 3410629862. Let o = z + -1.875489. Let b = -1377 - o. Round b to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 3) to base 4\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27644972311 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28453.34 millimeters to centimeters.\nAnswer: 2845.334","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -9*y + 488. Let m be f(0). Calculate the greatest common divisor of m and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f**2*v**4 + 8210*f**2 + 26449*f*v**4 - 6*f + 2 with respect to v.\nAnswer: 4*f**2*v**3 + 105796*f*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -22 - -4057?\nAnswer: 4035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1524 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -6 (b) -13 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 4:37 PM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -70*u**2. Suppose 5*i - 118 = 4*i. Let d(x) = i*x - 118*x - x**2. Calculate v(d(m)).\nAnswer: -70*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -33? (a) -4 (b) -3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158521?\nAnswer: 11, 14411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1954 is divided by 85.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 39250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*y**2 - 5*y**3 - 3*y**2 + 4*y**2 as a*y**3 + p + t*y**2 + k*y and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 962 and 72?\nAnswer: 34632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*t = 652961 + 203389. Does 72 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 587.3291 tonnes?\nAnswer: 587329100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 366 - 307. Suppose -y*f - 8 = -63*f. Solve -k = -5 + f for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2685)\/(-195) - 14) + (-276)\/(-858).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 415122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-7\/4)\/d*d*d**(-1\/3))**(45\/4) assuming d is positive.\nAnswer: d**(-195\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/5)\/r)\/(r\/(((r\/r**(-2))\/r)\/r)))\/(r*r**(1\/3))**(-9) assuming r is positive.\nAnswer: r**(57\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1098868 to the power of 1\/3, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 1146*z - 10291. Give h(9).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6835 is divided by 286?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and 3995066?\nAnswer: 3995065.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -11110001000110000000 (base 2) in base 9?\nAnswer: -1764554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 14*z + 2*z**3 - 3*z**2 - 34*z + 21*z - 2. Let w be q(2). Find the first derivative of 17*b + 5 + 0 + w wrt b.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -267 - -379. Suppose -n + 4*j + 39 = 8, 4*j = 4*n - o. Is n a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.84356 nanometers in kilometers?\nAnswer: 0.00000000004484356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.065 - -0.085. Sort 1, o, 1\/4 in increasing order.\nAnswer: o, 1\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o*o**(-17)*o*o))\/o)\/(o*o**(-8)))\/(o**(-1\/25)\/o**10) assuming o is positive.\nAnswer: o**(776\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -159 - -134. What is the smallest common multiple of 64 and (-26)\/13*(0 + 1 + y)?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7529?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.5 (b) -211 (c) 2\/3 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -115 + 5053?\nAnswer: 4635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/10 - 66\/15. Let w(z) = -1 + z**3 + 2*z**2 - 5*z + z + 0 + 3. Calculate w(s).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -394 - 392 = -131*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101317890?\nAnswer: 2, 3, 5, 43, 78541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -363*w**2 + 161*w**2 + 131*w**2 + 71*w**2 + 3*w**3.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1070833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/250 and 67\/40.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6 + (-8)\/(157824\/(-225606)). Let y = -54\/137 + s. Find the common denominator of y and 169\/42.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 18. Let v = 65 + g. Suppose -3*c - v = -5*r, -2*c + 31 = 5*r - 19. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11\/60 - 7\/12. Let x = -0.22 - -0.02. Do l and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39\/(13\/(1144\/(-24))) - (-73 - -62).\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3*c = -1100000. What is c rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of 9*h**2 - 2. Let d(t) be the first derivative of 2*t**3 - 914. Calculate d(s(l)).\nAnswer: 1944*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1113596962?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.12266 - 4.87734. What is the fifth smallest value in 0.5, -1.55, -2\/11, q, -2\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*3*sqrt(76) + (sqrt(76) - 2*-1*sqrt(76)))\/(((2*sqrt(160) + sqrt(160))\/sqrt(10))\/(sqrt(144)\/sqrt(4))).\nAnswer: 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -116403592.3 and -0.5.\nAnswer: 58201796.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -63543*g - 1334409. Determine l(-21).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -8 (c) -5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + -7. Let l = -10 - u. Let f be l\/(-8) + (-9)\/(-12). Solve 4*q + f = 21 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 1411*d**2 + 4*d - 3. List the prime factors of r(-2).\nAnswer: 43, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 4*s - r, 0 = 3*s + 2*r - 69 + 76 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44860 and 320.\nAnswer: 717760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.1 - 0.6. Let y = s + -2. Let v be ((-6)\/11)\/((-10)\/110) + -5. Which is the nearest to 2? (a) 0.3 (b) v (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14722.9698365+18\nAnswer: -14704.9698365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j + 1. Suppose 3*w = 14 - 5. Calculate c(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10967111 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8861450 and 550?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/5 of a meter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(70\/(-5))\/(-70)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5434 + 4?\nAnswer: 5440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1569883049.\nAnswer: 7, 47, 103, 46327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24632*w - 99*w**2 + 88*w**2 + 303793*w.\nAnswer: -11*w**2 + 279161*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 287941?\nAnswer: 29, 9929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1785587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*v + 4*b + 7, -4 = 4*b. Suppose v*d = 4*j + 2532, -12 = 3*j - 3. What are the prime factors of d?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 1\/647, -74, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5166054874?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9564603 divided by 14.\nAnswer: -9564603\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 972034757 + -972034759.003001766. Let j = -2.003 - y. What is j rounded to 7 decimal places?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-4\/7)*l**11*l)**(12\/13))**(-18))**(-49) assuming l is positive.\nAnswer: l**(120960\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 1\/4*t**5 - 291 + 585\/4*t**4 - 437*t + 579\/4*t**2 + 1747\/4*t**3 = 0?\nAnswer: -582, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 + 15 - -10) + 0 + 7?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 10 = 2*q + 18, -20 = 5*q for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 27642719?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 - -12. What are the prime factors of (-470)\/(-15) - (-1)\/y?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -0.9, 3 in increasing order.\nAnswer: -0.9, 1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -3346.\nAnswer: 1\/1673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/9 and -5\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.02695 decades in months?\nAnswer: 5283.234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61611, -246436, -554501, -985824, -1540423, -2218316?\nAnswer: -3019521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**3 - 2*z**2 - 2*z + 1. Let k(f) = f - 2. Let x be (-2)\/8 + (-2)\/(-8). Let s be 3 - (-3 + x - -2). Let d be k(s). What is t(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (96*(-41)\/(-1476))\/(2\/(-12)*-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2*1)\/(16\/(-1152)*12)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -38, -87, -176, -317, -522, -803, -1172?\nAnswer: -1641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -38*m + 689. Let z be n(18). Solve 2*a = -3*i - 4, -1 = -3*a - z*i - 9 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*j + 110 = -22 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000128579 rounded to six decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28.992 + -0.008. Let t = -28.937 - s. What is t rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -4*s + 10, 7*o - 9 = 3*o + 3*s for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 54273 + -57408.3. What is z rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3855.\nAnswer: 3, 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 6. Let y be 15\/d*(-6)\/(-15). Let a = 172 + -2234\/13. What is the third biggest value in 3, a, y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 - 3*y - 2. Let b be c(3). Which is smaller: -6\/5 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 86 = 5*w, -2*t = w - t - 18. Let n = w - -9. Suppose n = 5*z + 3*c, -2*z + 3*c - 7 = -3*z. What is the least common multiple of 16 and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -528838*n + 2576106 with respect to n.\nAnswer: -528838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((1 + sqrt(320) + -1 - sqrt(320)) + (0 + sqrt(5)*2)*4))**2.\nAnswer: 11520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1062482708 + 8279.\nAnswer: -1062474429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 153956835 and 540.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -628 + 1256 - o - 3*o + 67*o**2 - 629 + 73*o**2 as h + q*o**2 + p*o and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p - 1. Does 3 divide o(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 2*m + 3, 0*m + 2*m - 2*t = -2. Which is bigger: 2\/21 or m?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1373702 and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 - t + 5. Let w(k) = 6*k**2 + 5*k + 1224. Give -w(j) - 5*x(j).\nAnswer: -j**2 - 1249","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(459) + sqrt(459) + 4*sqrt(459))\/sqrt(3).\nAnswer: 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in months?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -152288924 or -152288923?\nAnswer: -152288924","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4139*o - 4213*o = 814 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11514 (base 9) to base 8.\nAnswer: -17034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**0*q)\/q**(-3\/4))\/((q*(q*q*q**(-1\/2))\/q*q)\/q)**2)**(-2\/27) assuming q is positive.\nAnswer: q**(1\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-3*1\/2). Suppose -6 = -t - c. Suppose -4*d = 2*h - 64, 4 = 4*h - t. Does 15 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4242543049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -562913 (base 11) in base 10?\nAnswer: -896866","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51318 is divided by 16870.\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 3 (c) -0.4 (d) -10.64\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 98437259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 491 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -323895 * 0.19\nAnswer: -61540.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -244*i + 1273. Calculate k(0).\nAnswer: 1273","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 43 - 37.8. Let v = -0.8 - p. Let m = v + 5.9999996. What is m rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 + 12*z + 6. Let b be a(-12). Suppose -4*l + 22 - b = 0. Solve l*o = 3*o - 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, y: 1, s: 1, t: 2, a: 1, k: 1}. Give prob of sequence ii.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 13*r**2 + 16*r + 23. Is i(-20) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3264) - (2*sqrt(3264) - sqrt(3264) - sqrt(3264)) - sqrt(3264))\/(1*sqrt(3)*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and 241671.241829?\nAnswer: 241670.941829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12.8 and -97788?\nAnswer: -1251686.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 2. Suppose -3*l - f*y + 30 = 2*l, -5 = 5*l - 5*y. Suppose -6 = 2*u - l*s, 0 = 2*u + 2*s - 5*s + 3. Solve u*h + 0*h = 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10\/3 + 43\/12. Let g = -93 + 93.1. Which is the third biggest value? (a) r (b) -0.5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -4. Suppose 0*f + z*f = 78. Suppose -f = -l - l. What are the prime factors of l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -211 (base 7) in base 13?\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32*(-2 + 15\/6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 48.54 - 51.54. Put 4, -1\/4, p, -33, 2 in decreasing order.\nAnswer: 4, 2, -1\/4, p, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b**4*k + 420*b**4 - 1724*b**2*k + 3*b*k + 13686132*b + 2*k + 1 wrt b?\nAnswer: 12*b**2*k + 5040*b**2 - 3448*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h. Suppose -3*j + 0*j + 48 = 0. Let c(n) = 6*n - j*n + 9*n. Determine f(c(g)).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -38217.4 to the nearest one thousand.\nAnswer: -38000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -47 - -66. Suppose 2*n - y = t, -3*n - 2*y = -25 - 0. Solve n = 4*g - g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -113, -4, 4, -39, -13, -11 in ascending order.\nAnswer: -113, -39, -13, -11, -4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 581 and 8217.\nAnswer: 57519","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1179600 minus -239859?\nAnswer: 1419459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 991*f**3 + 205*f - 3 + 185*f**3 + f**2 - 201*f.\nAnswer: 1176*f**3 + f**2 + 4*f - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - n = -b + 16, 2*n - 4 = 0. Let y(d) = d - 3. Give y(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -7\/3, 4, 0.9, -0.1?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1233, 1276, 1319, 1362?\nAnswer: 1405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/1711 and 30006 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of -q**4\/24 + 13*q**3\/6 - 3*q**2. Let k be h(9). Suppose 0 = -k*i + i + 24. What is the remainder when 30 is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 58*v**2. Let t(b) = -2*b**2. Determine t(g(s)).\nAnswer: -6728*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppappppppppppp. Give prob of sequence pa.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(-2\/17))\/x)\/x*x*x*(x\/x**23)\/x*x*x)**(-36\/7) assuming x is positive.\nAnswer: x**(12168\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/(-77))\/(((-3)\/(-7))\/3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 803788\/9 - 89423. Let z = s - -113. Which is the nearest to -0.2? (a) -0.5 (b) 0 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 102612401?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 155821169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 276264 and 34308.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4165 + 20829\/5. Let m(u) = u + 5. Let r be m(-4). What is the closest to -1 in c, -5, r?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -708 divided by 4.\nAnswer: -177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(130) + (sqrt(130)*1 - sqrt(130)) + sqrt(130))*4)\/(6*-1*sqrt(360)).\nAnswer: -4*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uf when two letters picked without replacement from cclccfcbuff.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u. Suppose 2*y + y - 3 = 0. Let r be v(y). Let m(k) = -k**2. Let g(j) = -6*j**2 + 2*j + 1. Determine r*g(s) + 5*m(s).\nAnswer: s**2 - 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 31*y - 66. Let b be v(12). Suppose 4*u + 2*f = b, -4*f - 339 + 39 = -4*u. What is the lowest common multiple of u and 32?\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 67 - 111. Let o be (-8)\/i - 70\/22. Let q(r) = -r**2 + 4*r - 9*r + r. Calculate q(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2376924 is divided by 203?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 6224?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v + 4. Let j be w(-2). Suppose j*t = -4*a + 130, -t + 2*t = 4*a - 145. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2484 plus -139?\nAnswer: -138.7516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 5*t - 17. Find the second derivative of -9*b + 0*b + 2*b + 0*b**4 + t*b**4 wrt b.\nAnswer: 96*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m - 12. Let k be (-1 + 10)\/((-81)\/1566). Let t = k + 183. Give p(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 3:43 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -16704 divided by -8352?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -284234?\nAnswer: 2\/142117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4462 and 690.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*d**2 - 42*d**2 + 4*d - d**3 + 22*d**2 in the form r + a*d**3 + w*d**2 + t*d and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m*m**(1\/4)*m))**21)**6)**(-8\/7) assuming m is positive.\nAnswer: m**180","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 8*p**4 - 23*p**3 + 7*p**2 + 18*p - 20. Let x(v) = 9*v**4 - 24*v**3 + 6*v**2 + 18*v - 21. Let d(n) = 6*o(n) - 5*x(n). Factor d(q).\nAnswer: 3*(q - 5)*(q - 1)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 5*h + 156 = -3*o, -4*h - 4*o = -144. Suppose 3*t = 2*w - 14, t - 12 + h = 3*w. Let x(b) = 2*b**2 - 8*b - 17. Is x(w) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29362, 29366, 29370, 29374, 29378?\nAnswer: 29382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.2 + 1.6. Which is the closest to -1? (a) -5 (b) g (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -44.7 and 3.14286965.\nAnswer: -41.55713035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 3*f + 9 + 9 = 0, -3*f = -3. Calculate the remainder when 22 is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 427?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2919 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.783 rounded to 1 dp?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 312 and 403.\nAnswer: 9672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of -7*p**4\/24 - 17*p**3\/6 + 7*p**2. Does 7 divide v(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.004, -7, 567.\nAnswer: -7, -0.004, 5, 567","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4 = 4*f, x - 51 = -f. What are the prime factors of x?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 70327096 or 70327095?\nAnswer: 70327096","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 155*x - 470. Let w be o(3). Let v = -10 + 15. Which is the smallest value? (a) 3\/8 (b) v (c) -3\/5 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -77447\/4 - -19362. What is the second biggest value in 3, u, 0.4, -0.021, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 571*m + 818*m - 2412*m + 605*m + 796*m.\nAnswer: 378*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 1051952?\nAnswer: 105195.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 9 + 1 + -2 + -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + y**2 + 2*y. Let a be i(-2). Suppose 40 - 12 = u - 5*l, 0 = -2*u - 4*l - 14. Let k be u + -1 + 0 + 1. Solve -k*w = -7*w - a for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x + 0*x + 3*x)*(3 + 4 - 6)*(187*x - 249*x + 478*x) as l + f*x**2 + y*x and give f.\nAnswer: 832","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, -186, -758, -1870, -3702, -6434?\nAnswer: -10246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 18 = -c + 4*s, -2*s = -5*c + 72. Suppose c*g = 9*g + 15. Solve a = -2*i + 2 + g, -20 = -5*i - a for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 AM and 1:53 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -0*l - 5*t - 6, 2*t = -5*l + 73. Suppose -2*u - l = -r - u, 2*r - 4*u = 32. Let k = r - 6. Which is the closest to -1? (a) k (b) 3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 103 = 5*x, -34 = -3*x + x - 3*o. What is the first derivative of 755*p - x + 259*p**3 - 755*p wrt p?\nAnswer: 777*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -698*p + 714*p - 4720 = 0. Let z = -196 - -44. Let y = p + z. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 8*c - 21. Suppose 5*g - 3*f - 18 = -5, 0 = g + 2*f. Let w(m) = 6*m - 2. Let u(j) = -5*j + 1. What is c*u(h) + g*w(h)?\nAnswer: -3*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*l = 6*l - 1049 - 469. Calculate the highest common divisor of l and 3072.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -97*k**3 + 4*k + 1. Let j(n) = -8*n**3 - n - 1. Calculate -2*j(s) - u(s).\nAnswer: 113*s**3 - 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**3 + r**3 + 0*r**3 + (5*r**2 + 14*r**3 - 5*r**2)*(-2 + 3 - 3).\nAnswer: -27*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -5. Let j(p) be the first derivative of -p**5\/120 - p**4\/12 + p**3 - 2. Let o(m) be the third derivative of j(m). Calculate o(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 4*y + 2. Let j(n) = n**2 - 13*n + 16. Let x be j(12). Solve x*k - 5 = v + 8, 2*v = y*k - 8 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(0 + ((sqrt(833) - (0 + sqrt(833))) + -2 - (sqrt(833) + 1*sqrt(833)*2 + sqrt(833)))))**2.\nAnswer: 1792*sqrt(17) + 213312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5, 0, 11, 28, 51, 80, 115?\n\"Answer: 3*c**2 - 4*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, l: 4, p: 1, b: 1, h: 2}. Give prob of picking 1 l and 3 i.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 10 = 4*q, w - q - 17 = -4*q. Let a = w - -2. Let r be -4*2*24\/(-32). Solve -a*o + 6*o = -r for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffffnn. What is prob of picking 3 f?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - 2*x**2 - 2*x)*(-246 - 421 + 197).\nAnswer: 940*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 + 4*n + 13. Let u be b(6). Suppose -3*y + 19 = 4*d, -4*d - u = -5*y + 52. Let h = 28 + y. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37 divided by -2913\nAnswer: 37\/2913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t**(12\/5)\/t)*t*t)\/t)**(10\/7) assuming t is positive.\nAnswer: t**(-4\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fjdd when four letters picked without replacement from jddjdedf?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2526 is divided by 420?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*d**3)*(2*d - d + d + 0 + d + 0 + (-d + d + 2*d)*(-1 + 0 + 2) - 4*d + 0*d + d - 5*d - 3*d + d).\nAnswer: -10*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 8*z. Suppose 20*s - 2010 = -10*s. Let y(k) = -17*k - 16*k - 12*k - 17*k + s*k. Give y(u(x)).\nAnswer: 40*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -31472.02567 rounded to the nearest ten?\nAnswer: -31470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 126 = -7*o + 4*o, o = 2. Let c = -25 - 35. Let i = c + r. Which is smaller: i or -19?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 PM and 11:31 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 885, 936, 157, -1452?\nAnswer: -3891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y + 7. Let l be r(-5). Suppose -l*i = -7*i. Suppose 4*t - x = x + 428, 2*t - 4*x - 208 = i. Is t a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + 28*l + 45. Let r be y(-2). Which is the third smallest value? (a) r (b) -2 (c) 28 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1286470314?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and 0.221.\nAnswer: 0.421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (1*sqrt(891) - sqrt(891))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12224 + 12223.975641. Round g to three decimal places.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 32 = -2*y. What is y rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 32620, 32644, 32692, 32764, 32860, 32980?\n\"Answer: 12*h**2 - 12*h + 32620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 41 + 11. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 195945 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(68)*-2.\nAnswer: -4*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -140 and 0.11.\nAnswer: -15.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -5*m + 7. Suppose -2*q - 2*p = 68, 0 = -q + p - 0*p - 28. Let d be (q\/(-93))\/((-2)\/18*-1). Calculate t(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*t + 311*t + 3 = -140*t + 3 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -102320130330 (base 4) to base 14\nAnswer: -92bc28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -325, -1253, -2795, -4951?\nAnswer: -7721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/12 - (18\/8)\/(-1). Factor -1\/2*r**v - 3\/4*r + 1\/2.\nAnswer: -(r + 2)*(2*r - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**5 - 11*y**4 + 31*y**3 + 19*y**2 - 104*y - 80.\nAnswer: (y - 5)*(y - 4)**2*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 = 19*s - s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 168317336 to the power of 1\/3, to the nearest integer?\nAnswer: 552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -100992\nAnswer: -10099.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63259482?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1491 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 38 = 3*i + c, i + 9 = 3*c. Let y = 13 - i. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4007 + 6938 - 7*o**2 - 2937.\nAnswer: -7*o**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 234 (b) -32 (c) -466\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 237513156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p - 2. Let j(m) = -3*m + 2. Let a be j(2). Let v be (-13)\/a + 4\/(-16). Calculate c(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 1\/1495, -0.1 in decreasing order.\nAnswer: 2\/7, 1\/1495, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 6. Let t(a) = 2*a**3 + 82*a**2 + 75*a - 194. Let v be t(-40). Solve 8 = -v*c + d for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 4*z**2. Let x(m) = 6*m**2 + 5*m. Let y(r) = 7*r**2 + 6*r. Let h(q) = -6*x(q) + 5*y(q). Calculate a(h(n)).\nAnswer: 4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9067821?\nAnswer: 3, 7, 431801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 787938?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -4*m**3 + 672*m**2 - 2636*m + 1968 = 0.\nAnswer: 1, 3, 164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -50f - 0?\nAnswer: -50f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 2*j + 3*j + 148, 44 = o - 3*j. Suppose -12 = -5*p - o. Let n(f) = -3*f + 7. Let s be n(p). Solve -3*a = 2*i - s - 3, a + 4*i = 24 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 20, b + 0*b + 4*l = 52. Calculate the highest common factor of b and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*w - 13*w**2 - 23*w + 61*w - 16*w.\nAnswer: -13*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - -30?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -961, -1282, -1589, -1882, -2161?\n\"Answer: 7*v**2 - 342*v - 626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1213 = 295*v - 7020 - 3043 for v.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of -q**7\/7 + 7*q**4\/6 - 141*q**3 + 6*q + 98. What is the second derivative of u(z) wrt z?\nAnswer: -120*z**3 + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -173 - -253. Is c a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112794490 divided by -663497\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(832)*-3 - (-2*sqrt(832)*4)**2) + (sqrt(832) + sqrt(832) + 3 + sqrt(832) + -5 + sqrt(832) + 1 + 4)**2.\nAnswer: -39927 + 168*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 4)*(1 - 6\/4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11828 to the power of 1\/2, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -3839400 to the nearest 10000.\nAnswer: -3840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 272*x**3 - 269*x**2 wrt x?\nAnswer: 1632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -402765*w**2 + 360893*w wrt w?\nAnswer: -805530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 0.2 (c) 344\/213 (d) -2\/7 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -55*r**3 + 10*r**2 - 2383 wrt r?\nAnswer: -165*r**2 + 20*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/3)\/((-14)\/(-84)). Let o(q) = f*q + 6 + 1 - 3. What is the remainder when 23 is divided by o(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*b**5 - 7*b**5 - b**4 + 12*b**5 + (-5*b**2 + b**2 + 3*b**2)*(-2*b**3 + 2*b**3 + 2*b**3) + b**5 + b**5 - 3*b**5.\nAnswer: -16*b**5 - b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/42*24)\/((-2)\/(-4))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -53*u**3 - 4*u**2 + 332*u + 4. Let z(y) = 2*y - 1. Let l(p) = h(p) + 4*z(p). Find the second derivative of l(v) wrt v.\nAnswer: -318*v - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5*(0 + (sqrt(33)\/sqrt(3))**2) + ((-2*sqrt(11) + sqrt(11))**2 + -1 + sqrt(11) - ((sqrt(44)\/sqrt(2))\/sqrt(2))**2)) + -5.\nAnswer: -229 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + -168 - -4 - (-8)\/4. Let f = a - -270. Does 6 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 1832 - 933. What is the hundreds digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 + -25. Suppose -4*h = g*o - 13, -10 = -9*o + 4*o - 5*h. Solve -3*p + o*p = 6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 27*f**2 + 9*f + 79. Let n be b(-27). Is n < -651\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 1.1 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a minute in seconds?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 114 and 98638.\nAnswer: 5622366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of -5*j**3\/3 + j. Let i(u) = -2*u + 2. Let p(o) = -9*o + 10. Let w(m) = -5*i(m) + p(m). Calculate w(r(s)).\nAnswer: -10*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - z)*(-32*z - 11*z - 5*z) + (2*z + z - z)*(3*z + 3*z - 4*z) + z**2 - 2*z**2 - z**2.\nAnswer: 50*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xssuusuxlussxxxxuuus. Give prob of sequence uu.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 88512 and 5472?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 792.03 rounded to the nearest 10?\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 56094.5m?\nAnswer: 56094500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82, 148, 214, 280?\nAnswer: 346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 5*c - 85, 3*b + 0*c - c = -55. What is the tens digit of (17 + b)*(246\/(-4) + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 131, 145, 177, 233, 319?\n\"Answer: g**3 + 3*g**2 - 2*g + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 268\/(-128)*6 - -7 and -53\/312.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*o**2 - 11*o**2 + 7*o**2 - 15*o**2.\nAnswer: -33*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160*s - 2*b = -161*s + 1288, 8 = -2*b. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 2:08 PM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16513672*l - 16513672*l - 4*l**3.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert cbf2 (base 16) to base 12.\nAnswer: 2626a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0*n**1*n)**(1\/14)\/(((n**(-6)\/n*n)\/n)\/n**(2\/3)*(n*n**(2\/5))**(-29)) assuming n is positive.\nAnswer: n**(5083\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1, -6, -25, -62, -123, -214, -341, -510?\n\"Answer: -z**3 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2346856.\nAnswer: 2, 293357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 176\/55 - (5 + -2)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**2 - 35*n**3 - 39*n**3 - 37*n**3 + 119*n**3.\nAnswer: 8*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of a**3\/3 + 3*a**2 + 4*a + 2. Let r be y(-6). Solve h + 5*w + 16 = -h, -r*w + 1 = -3*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 40 (b) 4 (c) 1\/9 (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2432*b. Let o(k) = 1209*k. Calculate 7*o(j) - 3*v(j).\nAnswer: 1167*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pqqqplqqepqllpll. Give prob of picking 2 p and 2 q.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -190 + 1332\/7. What is the smallest value in o, 0, 1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 - 1)*(3*f + 0*f - 4*f) - 16 + 39 - 1310*f - 8 - 5 as b*f + i and give i.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 5*w - 40 - 70 = 0, 5*m - 104 = 2*w. Calculate the least common multiple of m and 76.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 26\/2865, -3, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 1992*p. Let k(l) = 18*l. Calculate k(h(q)).\nAnswer: 35856*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14541846 and 33?\nAnswer: 14541846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 199645 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 216, -1199, -5018, -12435, -24644?\n\"Answer: -199*v**3 - 8*v**2 + 2*v + 421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 275541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 - 132 = -7*t. Let p(k) = k**2 - 12*k + 9. Let l be p(t). What is the greatest common factor of l and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooy when three letters picked without replacement from {m: 1, i: 1, o: 6, y: 7}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/8 <= -44\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 325 = -3*k - 27*k. Sort 3, k, 6, -1 in decreasing order.\nAnswer: 6, 3, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a - 295 = -85. What is the remainder when 2052 is divided by a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2 = u. Let q be (u - -1) + (114\/(-42) - -3). Suppose -r + 0 + 1 = 0. What is the nearest to r in -4, 2\/11, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.7 + 0.2. Let v(z) be the first derivative of z**2\/2 - z + 1. Let d be v(-1). Which is the biggest value? (a) -0.2 (b) d (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -0.4 (c) 4 (d) 59\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -3, 0 = 4*u - 217*b + 222*b - 29411. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.085374 - 8.\nAnswer: -8.085374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of -1\/6*y**4 + 0 - 2*y + 0*y**3 + 0*y**2. Let o(r) be the third derivative of r**5\/60 - 2*r**2. Calculate b(o(t)).\nAnswer: -2*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*b - 7 = 9 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 32\/(-18) + 8\/(-36). Let i = j + 3. Suppose 0 = -2*k + i + 3. Is k greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 2:44 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 733, 776, 893, 1120, 1493, 2048?\nAnswer: 2821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10.422 + 15.21. Round s to 1 decimal place.\nAnswer: 4.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 226981*r**4\/7 - 989599950*r**3\/7 + 1438164517500*r**2\/7 - 696684614625000*r\/7 = 0. Calculate r.\nAnswer: 0, 88650\/61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (21\/2)\/(36\/48). Let a be (-7)\/x + (-2)\/(-12). Let f = 0.36 + -0.16. What is the closest to f in -2\/13, -2\/9, a?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16\/3 in 0.09, 5, 0.5?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 299.11 + -303. Let n = 152.11 - t. Let x = n + -155.9801. What is x rounded to 3 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 840 = 21*a - 777. Calculate the remainder when a is divided by 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/54 - (-1184)\/1008\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, m: 1, v: 2, q: 1, k: 1, x: 8}. What is prob of sequence xv?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 97453 to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -509*m + 8 = -501*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1100130 + -10211212?\nAnswer: -11312002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 302 + -190. Calculate the greatest common factor of 16 and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 11*l**2 - 10*l - 23. Let w be a(12). Let v = w + 8. Solve 0*t - v = -3*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 - 1530*c + 184521. Give f(132).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/1341 or -829?\nAnswer: 2\/1341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-34)*y)\/(y\/y**(-28))*((y*y\/(y\/(y*y\/(y**(2\/5)\/y)))*y*y)\/y)**(19\/5) assuming y is positive.\nAnswer: y**(-1088\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, y: 2, p: 7}. Give prob of sequence pc.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*h - 126*h - 2*f = -135, -2*f = -24 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 304 is divided by 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64 is divided by 46.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 363 + -357. Suppose -s*f + 4 = 3*h - 4*f, -h = 2*f. Calculate the smallest common multiple of h and 135.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of -2*h**7\/105 + h**3\/3 + h**2 + 3. Let u(d) be the second derivative of r(d). Differentiate u(a) wrt a.\nAnswer: -16*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 20*s**5 + 34*s**4 - 12*s**3 - 64*s**2 - 110*s + 18. Let i(j) = -j**5 - j**4 + j**3 + 3*j - 1. Let c(h) = -36*i(h) - 2*x(h). Solve c(q) = 0 for q.\nAnswer: -7, -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 0 = -6. Suppose 2*l = g*l - 1. Suppose -p = -6*p. Solve s - l = -p*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 63 = -3. Let r be 20\/(-2 - 63\/x). Suppose -83 = 3*w - r. Is 9 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 5*b + 14*b**2 - 7*b**2 + 0*b - 6*b**2. Let c be s(-4). Put c, -2, 45 in descending order.\nAnswer: 45, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -11\/20, -5, -0.1, -0.12, 0.3?\nAnswer: -11\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -9*b - 4. Let y(l) = -8*l + 1. Let u(c) = -24*c + 2. Let h(n) = 4*u(n) - 11*y(n). Let a(g) = 5*g - 4. Let f be a(0). Give f*w(z) + 5*h(z).\nAnswer: -4*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 74090 and 2629.\nAnswer: 814990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/60203 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5740 and 124640?\nAnswer: 872480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002453 to 7 decimal places.\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 5*d = 861, 7*d = 10*d + 9. What is the remainder when f is divided by 98?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -3.2. Let i = w - -0.2. Let o be -4 + (-1 - -4) - 4. Sort i, 3, o in decreasing order.\nAnswer: 3, i, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 12. Suppose k*t - 32 = -t. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16399145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -33? (a) 38 (b) -3\/7 (c) 3 (d) -2 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 514357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/22 and 127\/30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -3*w - 28. Let b be -44*(-4)\/((-8)\/w). What is the highest common divisor of 14 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42, 4, 2, -4, 5, -5 in descending order.\nAnswer: 5, 4, 2, -4, -5, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -7435270 divided by -190?\nAnswer: 39133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = p, -5*v + 2*v = -4*p + 409. Let i = v + 136. Solve i*d - 14 = -o + 3*o, 0 = -3*o - 3*d + 21 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -7273b?\nAnswer: -72736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/5 - 172*k\/5 - 3698\/5.\nAnswer: -2*(k + 43)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.4 (b) -1\/136 (c) 1\/4 (d) 0.3 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 4:28 PM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 806649.2 litres in millilitres?\nAnswer: 806649200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -193.7 + 16.7. Let t = -177 - o. Let w be 1 - ((-48)\/10)\/(-3). What is the closest to t in 0.4, 1\/7, w?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 12624*b + 719434. What is q(-57)?\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10.81*62.91.\nAnswer: 680.0571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/4))**(6\/13))**43 assuming v is positive.\nAnswer: v**(-129\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a + 6100 = 6036 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 22 = -4*h, -2*w - h = -3*w + 10. Let y(r) = 7*r - 33. Let z be y(w). Solve -m - z = -2*p, 21 = 2*p + 3*p - 4*m for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -9*h + 44. Let x = -32 + 49. Let v = x + -10. What is the least common multiple of h and v?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*p + 2. Suppose -2 + 11 - 2*b**2 + p*b - 13 = 0. Calculate b.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -34511?\nAnswer: -34508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 + 8*m - 1. Let s(b) = -4*b**2 + 33*b - 4. Suppose i = 4 - 2. Suppose -i = -3*w + 25. Let g(c) = w*y(c) - 2*s(c). Give g(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*d + 2110 = 2081 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -630369 and 2612?\nAnswer: 632981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 386 = -3*d + 5*m + 393, d + 99 = 27*m for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 11) in base 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -28.\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -715526921 or 0.2?\nAnswer: -715526921","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2074*l - 89177. Determine f(43).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59, 250, 567, 1010, 1579, 2274, 3095?\nAnswer: 4042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 2*j + 14 = 0, d - 6*d = -j - 15. Suppose d*y = -y + 3*c + 21, -3*y = 4*c - 42. Let p = -7 + y. What is the least common multiple of p and 5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -146 + 75 - 65?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 241\/7 + -35. Do 0 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9*4\/(-144))\/(((-4)\/144)\/(-1)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-14) - 22458\/(-42) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 2*p. Let w be -12*(2*-1)\/4. Suppose w*g - 2*g - 48 = 0. Calculate the least common multiple of g and n(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a hour in seconds?\nAnswer: 5850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*x**3 + 9*x**2 - 38*x + 24 = 0. Calculate x.\nAnswer: -4, 1, 6\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (72\/3744)\/((1\/24)\/1).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -33694 + 9307378?\nAnswer: 9273684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(605)*-5 + sqrt(605) + 3)**2 + 6*sqrt(320)*-1*-2)*5.\nAnswer: 1360*sqrt(5) + 48420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(76))**2 + sqrt(1539)*-3 - (-4 + sqrt(209)\/(sqrt(44) + sqrt(11)) + sqrt(19) + (-5*sqrt(304) - sqrt(19))).\nAnswer: -22*sqrt(19)\/3 + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**3 - 22*i**2 + 3*i - 3. Let b(c) = -c**3 + 10*c**2 - c + 2. Let s(t) = 2*b(t) + x(t). Calculate s(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 60 + 63. Let u(p) = 42*p**3 + p + 7. List the prime factors of u(s).\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -18*p**2 + 4*p + 3. Let k be i(-1). Let u = -9 - k. Suppose 11*z - 14*z + 6 = 0. What is the least common multiple of u and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z**3 - 182428*z**2 + 182304*z + 5472720 = 0. Calculate z.\nAnswer: -5, 6, 45606","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 2 + sqrt(12)\/sqrt(6) + sqrt(8) + sqrt(48)\/sqrt(6) + ((sqrt(24)*1)\/sqrt(12) + sqrt(2) - (sqrt(2) + (sqrt(40)\/sqrt(5))\/sqrt(4))))**2 + 1.\nAnswer: 30*sqrt(2) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 6*y**2 + 2*y + 1. Calculate the smallest common multiple of 6 and h(-1).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.7095 + 0.374. Round s to 1 dp.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19558?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 26 - 3a2d?\nAnswer: -3a07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002318 to 6 decimal places.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - 7*v**2 - 5*v - 3. Let g be k(-6). Let y be (3\/2)\/(g*8\/(-144)). Solve -4*b = -4, -b = -4*d - y*b + 18 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4971 and 4143.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -3*r - 2. Let z = 14 - -7. Let x = z + -19. Give c(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1304578?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -6*u + 76. Let k be p(12). Let b(o) = 294*o + 11. What is the tens digit of b(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 9:14 AM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 3031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - ((-4)\/12)\/(8\/(-6 - -150))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 2 = 2*d. Solve d*h - 6 = -0*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -8. Let v be -4*8*14\/(-224). Which is the third smallest value? (a) r (b) v (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 PM and 6:41 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.89242294 to one decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 13796, -82 in descending order.\nAnswer: 13796, -2, -3, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44708112 and 26244?\nAnswer: 2916","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1505 = -1033*r + 732*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-66)\/55*(-77710)\/(-1227)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 10*f**3 - 21*f**2 - 28*f - 47. Let q(a) = 7*a**3 - 14*a**2 - 19*a - 32. Let i(u) = -5*j(u) + 7*q(u). Determine i(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, e: 4, a: 2, j: 6, k: 2, w: 4}. What is prob of picking 1 e, 1 w, 1 k, and 1 n?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 15.01 and 260766?\nAnswer: 260750.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -7*o + 7*o + 2*o. Let m(c) be the third derivative of c**4\/12 - 279*c**2. Calculate m(p(n)).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of 5*g**7\/42 - 4*g**6\/3 + g**5 + 55*g**4\/6 - 25*g**3\/6 - 35*g**2 - 84*g - 3. Solve r(a) = 0 for a.\nAnswer: -1, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9756 = 237*f - 219*f. Which is smaller: 543 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 6) to base 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/33 (b) 7 (c) -2249\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 108 times 1522606?\nAnswer: 164441448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4075510, -4075630, -4075750, -4075870?\n\"Answer: -120*a - 4075390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -52.948 + -0.052. Let f = -109 - k. Let z = f + 61. Put z, -3, 0.1 in increasing order.\nAnswer: -3, 0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -103670 or -103667?\nAnswer: -103667","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -219\/2395 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 1)*(-3 + 3 - 1)*(4*a**2 - 2*a**2 - 3*a**2)*(6 + 1 + 2).\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 15*o - 145. Let k be c(10). Is 132\/29 <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3647 is divided by 64?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 3*a = 8, 3*l - a + 0*a - 8 = 0. Put 0.3, -3\/2, l, 9 in decreasing order.\nAnswer: 9, l, 0.3, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1170180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 31*l**2 + l - 1. Let b be s(1). Does 10 divide 1*-1 + b\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4366869 and 246?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -941, -942, -943?\n\"Answer: -p - 940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 - 6*o - 8. Let h be q(6). Let l = -10 - h. Let w(a) = -a**3 - 2*a**2 + 2*a + 1. Let d be w(l). Let c(k) = -k**3 - 2*k**2 + k - 4. Give c(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 1) + 11 + -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 - 11 = -7*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*g**2 + 4*g - 4*g + 39*g**2.\nAnswer: 52*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 729 is divided by 73?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t**5 - 25*t**4 - 15*t**3 + 25*t**2 + 20*t = 0. Calculate t.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 5, 0, -4, -3.1, -1\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 8:47 AM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4131860?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence he when two letters picked without replacement from {g: 1, h: 1, e: 1, m: 2}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -102*k - 1221. Let a be z(-12). What is the greatest common divisor of 3273 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.38, -2\/7, -4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3*2\/12)\/(-1)*-10. Is 2595\/20 + u\/(-20) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 849 - 846. What is the closest to 0.1 in 461, o, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.734 plus -4?\nAnswer: -21.734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18176145751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2880 and 11790.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 4*a**2 - 195*a + 157. What is f(49)?\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of t**4\/12 + 5*t**3\/2 + 15*t**2 - 28*t. Let p be b(-13). Let r be (3\/2 + -2)*0. Solve r*o + 2*o = -p for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -94*5*18\/(-720)*(-8)\/2\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccoccoocooccccoccc. What is prob of sequence coco?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9164 is divided by 613.\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {g: 5, j: 1, k: 3}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 10*k**2 - 392*k - 54. What is the hundreds digit of j(29)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 287*o - 2020 = -5751 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 3*g + 66 = 0, -2*s + 0*g = g - 22. Suppose 4*y + 4 = s. Suppose 5*l = -20, y*q - 2*l = -5*l + 288. List the prime factors of q.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7896382 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.13324 times -0.049?\nAnswer: -0.44752876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -3. Let u = 4 + j. Suppose -5*y + u*r + 1783 = -217, -5*y = 3*r - 1960. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4239082 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13000 is divided by 178?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 6:05 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*f - 28*f + f - 9*f.\nAnswer: -45*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 285744550 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1542 + -3.95150564?\nAnswer: -1545.95150564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 109 - 24*p**2 + 26*p**2 - 60 to n + u*p**2 + t*p and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -1. Let k(d) = -d**2 - 4. Let l be ((-4)\/(-2))\/(7\/(-28)). Let x(m) = -2*m**2 - 11. Let t(g) = l*k(g) + 3*x(g). Give t(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 287 = -5*b, 5*b = -4*y - 42 + 335. Does 20 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2061 + -2056. Suppose -5*z = -l + 40, -4*l + 29 = -5*z - 26. Let x = -4 - z. Which is the smallest value? (a) x (b) 4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 8:22 AM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + (-13)\/2)*7280\/(-210). Let i = r + -27. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 0.44.\nAnswer: -0.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*((-99)\/55)\/(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 - -58. Let r = -524 + 499.08. Let m = t + r. Sort 0.1, m, 1\/2.\nAnswer: m, 0.1, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -865*m**3 + 1854*m**3 - 3 - 967*m**3.\nAnswer: 22*m**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + -3)\/(0 + -1). Determine g, given that 0*g**a - 3*g**3 + 2*g**3 - g**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 59 - 69 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 5*f = -2*t + 8, f + 2 = 3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -42 + 26. Suppose -9 = 7*q + 75. Let t be z\/6 - 8\/q. Sort 0.5, t, 2.\nAnswer: t, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**3\/2 + 3400*j**2 + 786080*j + 50309120.\nAnswer: 5*(j + 136)**2*(j + 1088)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2\/9 + 57496*t\/9 - 346272.\nAnswer: 4*(t - 54)*(t + 14428)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 4, 3 in increasing order.\nAnswer: -3, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-224)\/(-1400))\/((-2)\/5).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2248 + 1383. Let j = x + 28525\/33. Let a = -17607 - -475444\/27. Calculate the common denominator of j and a.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3)\/(x\/((x**14\/x)\/x)))\/(x**3*x)**22 assuming x is positive.\nAnswer: x**(-80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 450069 + -167272. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (36\/(-2178)*11)\/(84\/(-63))\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4972853338 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - 5*b**2 - 6*b + 2. Let s be m(6). Solve g + s*g = 12 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1911?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -11301 (base 8) to base 2\nAnswer: -1001011000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -159*i**4 - 257*i**4 + 839*i**4 - 108*i**4 + 1402*i - 147*i**4 wrt i.\nAnswer: 2016*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 362779026.\nAnswer: 2, 3, 60463171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4*1\/4 - -4. Let w(n) = -5*n**3 + 8*n**2 + 6*n - 24. Let l(q) = 4*q**3 - 8*q**2 - 5*q + 23. Let h(v) = t*w(v) + 6*l(v). What is the tens digit of h(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 8*o - 6. Let m be s(-5). What is the second derivative of 2*a**4 - a - m*a**4 - a wrt a?\nAnswer: -84*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -68\/1113 and 3\/4871384.\nAnswer: 774550056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 9*j - 7. Let k be o(7). Let c = k + -7. Suppose 3*a = -5*i + 72, 0 = -5*i - 4*a + 71 - c. Calculate the highest common divisor of i and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 + 20*x - 12. Suppose 3*y + 0*t - 3 = -4*t, 4*y + t - 17 = 0. Suppose 2*l - y*l + 5*n = -27, 0 = 2*n. Does 29 divide c(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -238\/226131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6076 by -3038.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3221723503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 289221 and 6307?\nAnswer: 901","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -41 in -0.75, 0, -1\/2?\nAnswer: -0.75","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 837 = -4*n + n, -3*n + 4*f = -810. Suppose 14 = 4*k - n. Is 24 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01320778657 rounded to 3 dps?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 536, 540, 556, 590, 648?\nAnswer: 736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(5) - (sqrt(45) + 4) - (sqrt(55) - sqrt(1375))\/sqrt(11)).\nAnswer: -10*sqrt(5) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1088, 2239, 3412, 4601, 5800, 7003, 8204?\n\"Answer: -n**3 + 17*n**2 + 1107*n - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/354355 and -13\/110913115.\nAnswer: 110913115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -493*z**5 + 524*z**2 + z wrt z?\nAnswer: -29580*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10227?\nAnswer: 3, 7, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 39 - -160. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14 - 14432849?\nAnswer: -14432863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 31\/5, 0, -9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 0.2 (c) -5\/4 (d) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 4766, 5 in ascending order.\nAnswer: -30, 5, 4766","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 809196?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 49490011, 49489990, 49489967, 49489942, 49489915?\n\"Answer: -x**2 - 18*x + 49490030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of 2*i - 11. Let f(j) = j + 3. Give -3*f(w) + 5*k(w).\nAnswer: -3*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-2\/5))**(3\/16))**(-1\/25)*(d*d*d**(-6))\/(d*d*d**(-1\/3))*d**(-5)\/((d\/(d*d\/(d\/d**(-1))))\/d) assuming d is positive.\nAnswer: d**(-64063\/6000)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l - 9*w - 45 = -11*w + 7*w, -17 + 11 + 12 = -3*w for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 + 36 + 54 + -305?\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -2.8?\nAnswer: -1.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 125*f**3 + 1072975*f**2 + 858320*f + 171660.\nAnswer: 5*(f + 8583)*(5*f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5217 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 1\/19859082 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a3 + 1?\nAnswer: 1a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 224569?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.39 - 1.307. Let j = c - 0.082644. What is j rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o + 10. Let k be i(-5). Suppose -m = -3*w - 0*w - 17, -k = -m. Let s be w - (740\/38)\/(-5). Which is the smallest value? (a) -4 (b) 0.5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -26*g**3 - 12*g**2 + 5*g - 5. Let c(i) = 13*i**3 + 6*i**2 - 2*i + 2. Let o(s) = 5*c(s) + 2*v(s). Find the third derivative of o(n) wrt n.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4b + 4?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*u**5 - 2*u**4 + 740*u?\nAnswer: -360*u**3 - 24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 11:28 AM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/4)\/((-11)\/(-4)). Let k = -2\/355 + -1414\/1065. What is the nearest to -1\/2 in v, -0.1, k?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -205 - -a5?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7405?\nAnswer: 5, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 11 + 8 - 2*i**3 + 1.\nAnswer: -2*i**3 + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*((-100)\/(-8) - 3). Suppose t = -2*v + 5*v + r, -5*r - 25 = -5*v. Suppose 2*i - 1 = 11. Is v < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5}. What is prob of sequence pp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (119\/(-105) - -1)*(-10)\/(-6). Is q at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - 1 - (-1)\/(-1) - 5. Let m(z) = 3*z**2 + 15*z - 16. Let f be m(x). Solve 7 + 7 = -4*i + f*b, 0 = 4*i + b - 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/24 and (34\/190)\/((-484)\/300 - (-7)\/21)?\nAnswer: 1824","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of -83*n**7\/840 + 73*n**4\/24 + 79*n**3\/6 - n**2 + 7. Let f(w) be the first derivative of i(w). Differentiate f(y) wrt y.\nAnswer: -249*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 5*b - 11, 2*k - 3*b = 11. Solve -4*p = -l + 4, 0*l + 2*l + k = -p for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(11) - sqrt(11)) + 4 + -1 + sqrt(99).\nAnswer: 3 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 6*j - 4*j + 5*t, -3*t = 4*j - 32. Calculate the lowest common multiple of 2 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 9 = -3*p, 3*w - p = 1 - 4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 16112 and -2723 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*c - 53*c - 1 = 2*j, 9 = 2*j - 3*c for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 478*i**2. Let r(k) = 3639*k - 7327*k + 3680*k. Calculate r(q(g)).\nAnswer: -3824*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 4*q**2 + 0*q)*(2067*q**2 + 2093*q**2 - 4369*q**2).\nAnswer: -836*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -45\/4. Let p be (-39862)\/288 - (-8)\/36. Let y = 14589\/112 + p. Find the common denominator of y and z.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1420 + -17021\/12. Let u = -16\/17 + -20\/51. Let t = h + u. Which is the closest to t? (a) 1\/4 (b) 1\/7 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -65066353\/246 - -264498. Calculate the common denominator of o and 1\/246.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 226327279 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2683, -2567, -2375, -2107?\nAnswer: -1763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of a**4\/24 - 5*a**2. Let i(x) be the second derivative of x**3\/3 - 2*x. Give i(r(c)).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -5 - -12 - 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -156 divided by -4?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, v: 4, r: 2}. Give prob of picking 1 u and 2 v.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2. Let j(o) = 660*o**2. Determine -1210*g(i) - 2*j(i).\nAnswer: -110*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -171 + 171. Suppose z = -7*l + 15*l - 696. Is 89 < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ils when three letters picked without replacement from {s: 1, i: 1, l: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 6*l - 9. Let z(x) = -5*x + 8. Let g = 31 + -26. Suppose 0 = -i - 2 - g. Give i*z(v) - 6*y(v).\nAnswer: -v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1232650 rounded to the nearest 10000?\nAnswer: -1230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 7 - 23. Let t(g) = 2*g**2 - 2. Let v(i) be the second derivative of i**4\/12 - i**2\/2 + 5*i. Calculate u*t(q) - 9*v(q).\nAnswer: -q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 143278.688\nAnswer: -716393.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-292)\/100 + -10*(-12)\/40 and -3 - ((-8)\/20 - (-562)\/(-20)).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 25797\/13967?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54 + -48 + -57 + 3?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29*6\/115596*13 and 48?\nAnswer: 1482","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -12256 (base 8) in base 12?\nAnswer: -3092","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (380\/75)\/(29\/(2755\/(-152))).\nAnswer: -19\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 175df09 - 3?\nAnswer: 175df06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -47 (b) -0.5 (c) -29 (d) -6\/7 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*w - 12*w = 83*w + 50*w - 6048 for w.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195495.\nAnswer: 3, 5, 13033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 o when two letters picked without replacement from {i: 1, b: 2, o: 3, u: 2, c: 1, q: 6}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-3) + (-6202)\/(-21). Calculate the common denominator of (1 + -2)\/(624\/g) and (-3)\/(-18) + (-545)\/(-240).\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21 and 603.\nAnswer: 4221","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 - -6) + -92 - -156?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 2*x**3\/7 - 3632*x**2 - 76310*x\/7 + 254300\/7 = 0.\nAnswer: -5, 2, 12715","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 15 = -5*b, 3*n + 13 = -5*b - n. Sort -3, b, -5 in decreasing order.\nAnswer: b, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3150948067 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -272771\/12 + 22731. Let g(j) be the second derivative of -4 - 5\/2*j**2 - 2*j**3 - 2*j + l*j**4. What is g(12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1267, -1297, -1347, -1417, -1507, -1617?\nAnswer: -1747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 146 (base 7) to base 8.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1\/(-1) + 212)*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-24)*34 - (-135999)\/11826)\/((-5)\/2)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -66, -44, -5, -1, 0.4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssssesesssssses. What is prob of picking 1 e and 2 s?\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 3\/5*t**2 + 12\/5*t + 4\/5 - t**3 = 0. Calculate t.\nAnswer: -1, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -85 - -90. Let u = -0.04 - -0.14. Let y = 0 + 1. Which is the closest to u? (a) y (b) r (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -10. Suppose -5*z = -5*s - 15, 2*z - 11 = -y*s + s. What is the smallest value in z, 0.3, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-28)\/(-35)*(-5)\/(-2). Let n = -0.7 + 1. Which is the second biggest value? (a) y (b) -1\/7 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 15, g: 4}. Give prob of picking 3 g.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -48*l**2*x**3 - 2*l**2 - 5*l*x**2 - 208*x**3 wrt l.\nAnswer: -96*l*x**3 - 4*l - 5*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -242039 = -114*b + 2152417. Does 89 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12248*v - 49029*v + 12238*v + 12196*v + 12220*v.\nAnswer: -127*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 19280 less than 0.9730968?\nAnswer: -19279.0269032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(7\/3 - 2). Let i be (-2 + 0)*(-693)\/m. Suppose 5 = 2*x - 3*p, -3*x + 4*p + p = -6. Calculate the highest common factor of i and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of 176*s**5\/5 - 93*s**2\/2 + 45. What is the second derivative of z(k) wrt k?\nAnswer: 2112*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twelve sevenths of a week in days?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 48, -2\/9, 5 in increasing order.\nAnswer: -2\/9, 2, 5, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -46\/5? (a) -12.3 (b) 2\/13 (c) -1\/5 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 82359?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -8*i - 2. Let d be u(2). Let a(v) = 4*v**3 + 9*v**2 - 13. Let j(p) = -p**3 - 2*p**2 + 3. Let k = 6947 + -6951. What is d*j(q) + k*a(q)?\nAnswer: 2*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 6 = -p - 2, 0 = 2*p for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 36192839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -5*h + 3 - 36, -36 = 5*b - 3*h. Let d be (0\/b)\/(2*1\/(-2)). Find the third derivative of 22*x**6 + d*x**5 + 0*x**5 - 7*x**2 - 42*x**6 wrt x.\nAnswer: -2400*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -1211010?\nAnswer: 1211010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -648 divided by -162.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a century in decades?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 5*p - 13. Suppose 5*q = -0*q + p. Solve -q*j = 2*m - 0 + 4, -5*j - 2*m = 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(4\/5)\/((h\/(h\/(h*(h\/h**(2\/9))\/h)))\/h*h*h))\/((h\/h**(1\/6))\/(h\/(h**(-5)\/h)*h))*h**(3\/4)*h\/(h**(3\/8)*h)*(h*h**5)\/(h*h*h**(1\/9)) assuming h is positive.\nAnswer: h**(3763\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 4, n: 6}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of i**4\/12 + 12*i**3 - 4213*i. Let j(n) = 56*n. Give s(j(h)).\nAnswer: 3136*h**2 + 4032*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of h**6\/11 - 6*h**5\/11 + 80*h**3\/11 - 240*h**2\/11 + 288*h\/11 + 23. Let x(d) = 0. What is d?\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 6*j - 5*o - 8, 12 = 3*j - 2*o. What is the closest to -0.1 in 2, 0, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -702581\/12 + 58470. Let h = 157\/2 + r. Find the common denominator of h and 47\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41 - -58. Let f = d - 12. Suppose 4*k = -20, 0 = 4*v - 3*k - 16 - 11. Calculate the remainder when f is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 - 3*x**3 + 5*x**3 - x - 11 to the form a*x + r*x**3 + i*x**2 + q and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 plus 34.93?\nAnswer: 35.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, s: 7}. What is prob of picking 4 s?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, c: 2, v: 9}. Give prob of picking 1 c and 2 v.\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 - 2*z - 6. Let r be l(-4). Suppose 4*b = b + r. Suppose -5*w = 4*k - 14, 5*w = 6*k - k + 50. Calculate the greatest common factor of w and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3*n + 6. Give b(-16).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(132)*1)\/(-2*sqrt(12)*-2))**2.\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -134 + 129*h**4 - 287*h**4 - 118*h**4 wrt h.\nAnswer: -1104*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 84\/(-462) + (-552)\/(-11). Let l be 4 - (378999980\/g)\/(2\/(-20)). Round l to the nearest one million.\nAnswer: 76000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(128)*-2*1)**2*-1 - -1*((sqrt(200)*1*1 + sqrt(200) - sqrt(200))**2 - (sqrt(200) - (1 + 1*sqrt(200)))).\nAnswer: -7991","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {p: 3, k: 10, w: 2}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 107 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1722)\/164*(-10)\/30.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 726\/10 + 4\/10. Let s = i - -4. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j**2 - 6. Let w(v) = -v**2 + 1. Let k(u) = 6*w(u) + y(u). Let z(r) = 223*r + 6. Let l(q) = -189*q - 5. Let b(a) = -6*l(a) - 5*z(a). Give k(b(t)).\nAnswer: -1083*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -279238 < -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of -c**5\/60 + 728*c**2 + 10*c. Let w(l) = 4 - 4 + 8 + 2*l. Give w(b(o)).\nAnswer: -2*o**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 5*i - 18. Let w = 2094 - 1768. What is the remainder when w is divided by j(13)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 5:37 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 11 (b) -58765 (c) 71\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 93*y**2 - 810*y = 0. Calculate y.\nAnswer: 0, 270\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 26\/10 - (-24)\/60. Solve -2*c + 18 = -5*a, 0*c + 9 = j*c - 3*a for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/1 + -153 + (-26 - -24). Let f = a - -157. Calculate the greatest common factor of f and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 + 123313112102?\nAnswer: 123313112023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.174 - -1.56.\nAnswer: 1.386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 521.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2880.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4*u - 147 = -8*u, -3*c + 4*u + 171 = 0. Let s be (-132)\/(-34) + (c\/17 - 3). Solve 5*k + 1 = -s for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 830 - 203. Suppose 0 = -2*w + 3*j + 16, 3*j = -w - 7 - 3. Suppose -w*h + s = -5*h. Round h to the nearest ten.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 4992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 m, and 1 x when three letters picked without replacement from mcomcxgmzxmxxoz?\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5614, 5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -108 - -105. Let l be (4 - (70 + 1))*(-3)\/u. Let r = -66 - l. Let h(a) = -13*a + 1. Determine h(r).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4649?\nAnswer: 4649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -829 (b) -2 (c) 0.05 (d) 49 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0149 - -0.0851. Let h = -0.2 - 0.8. Let v = h + 0. Which is the nearest to -5? (a) -1\/7 (b) v (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/(-12))\/(37\/(-111)))\/(13\/234).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 + 43 = 5*r. Let j = r - -32. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -26926286 = -26926285?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 82 and 1394.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2665 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 78 + -77. Let v(i) = i**3 - 3*i + 2. Let p be v(g). Solve p*w = w + 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001110011001 + -111?\nAnswer: -1001110100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/4 of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, g: 4, u: 7, l: 2}. Give prob of sequence ln.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x**2 - 2. Let i(d) be the third derivative of d**3\/6 + 3*d**2 - 11*d. Suppose 50 = 2*k + 3*k. Let a = k + -12. Calculate a*i(n) - w(n).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 63 + -59. Factor 0*s**3 + 158 - 4*s**3 + 16*s**2 - 182 - c*s.\nAnswer: -4*(s - 3)*(s - 2)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + i**2. Let c(w) = 5*w**3 - 3*w**2. Give c(z) - 3*m(z).\nAnswer: 2*z**3 - 6*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 PM and 5:33 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 17982474 to the power of 1\/2, to the nearest integer?\nAnswer: 4241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1630*l**2 + 1780 - 147*l - 3256*l**2 + 1630*l**2 wrt l.\nAnswer: 8*l - 147","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ul when two letters picked without replacement from rrrwuiwiilriiillwgrl?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -75955*u**5*x - 7*u**2*x - 2314*x wrt u.\nAnswer: -4557300*u**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19827366 - 542*k**2 + 19827366.\nAnswer: -542*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1443 + 1699. What is the greatest common factor of q and 224?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -2\/15 (b) 11\/3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3343*g + 3036*g = 23639 for g.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -19*k + 23*k + 4, -13 = -3*y + k for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -794 divided by -12217\nAnswer: 794\/12217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (76 - (-80 + 171)) + (2 - -40)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-5))\/(8\/(-18)*72\/(-20))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*k - j, -3*j = -k - k - 15. Let n(c) = c**3 - 7*c**2 - 7*c - 3. Let v be n(8). Let f = v + k. Solve m = -f*m - 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 - 0. Let k be 1008\/(-1728) + 28\/21. Let c = 4.4 - 4. Put c, r, k in ascending order.\nAnswer: r, c, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(384) - sqrt(384))\/sqrt(12) - (-1 + sqrt(1152)) - ((sqrt(24)\/sqrt(2))\/sqrt(6) - (sqrt(2) - (sqrt(140)\/sqrt(7))\/sqrt(10))))**2.\nAnswer: -50*sqrt(2) + 1251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1794951 is divided by 652.\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = 4*b - 7, 10*b - 3*b - 15*x = -62*x - 155 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8611.268 rounded to the nearest integer?\nAnswer: -8611","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -x**5\/10 + 4*x**3\/3 - 9*x. Find the second derivative of b(h) wrt h.\nAnswer: -12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -38 - 355?\nAnswer: -392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -v + 3*s, -5*v - 4*s - s = -40. Solve i - 2*i + v = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3*x - 4. Determine o(-4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3121 + 1289 + 1512)*(-5*d + 2*d + 2*d) - 2*d - 1 + 0*d + 0.\nAnswer: 318*d - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 104 and 133722.\nAnswer: 6953544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**2. Let t(c) = -5*c + 8. Let s(m) = -4*m + 6. Let l(w) = -3*s(w) + 2*t(w). Give l(g(h)).\nAnswer: -4*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -337*x = 456*x + 1754*x + 89145 for x.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 5:08 AM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -5*d**3 + 2*d**2 + d + 2. Let t be y(-3). Calculate the greatest common divisor of 19 and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 4) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + -2. Let j = -6 + u. Solve 8 = j*l + l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/351)\/(12\/(-26)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 3, -2, 1120 in descending order.\nAnswer: 1120, 3, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -303 divided by -101.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38037962 is divided by 516.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.22 + -5. Let u = x + -0.02. Which is the third smallest value? (a) -4 (b) u (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4413 * -0.4\nAnswer: -0.17652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 13640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1616, -3256, -4894, -6530, -8164?\n\"Answer: f**2 - 1643*f + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*o**2\/2 + 15279*o - 276237\/2.\nAnswer: 3*(o - 9)*(5*o + 10231)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1913544.\nAnswer: 2, 3, 2953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 2*i + 412006, 5*x + 5*i - 531533 + 16518 = 0. Round x to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.85 * -0.0189377.\nAnswer: 0.016097045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 124006 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -31, -4, 13\/5?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -f**2\/2 + 7*f + 2. Is 4 a factor of u(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l**2. Let f be (3 + -3 - 2) + 5. Suppose 0 = -4*g - 12, 2*b + 4*g - f = g. Let w(h) = -b + 1 + 5 - h**2. Calculate m(w(v)).\nAnswer: -2*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 x when four letters picked without replacement from eakxeekxkxexekkek?\nAnswer: 4\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -5*s - 2*g, -s + 2*g = 2*s - 6. Suppose w - 2052 = s*w. Let o = -458 - w. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 2*s**2\/3 - 18986*s\/3 - 50672 = 0.\nAnswer: -8, 9501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*t + 2*c - 65, 4*c = -2*t + 20. Is 19 > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 4 (b) 0.8 (c) -1\/9 (d) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 5*r = 0, 3*c - 4*c + 3*r = -17. Let y(i) = 39*i + 29*i + 35*i - c - 118*i. What is the units digit of y(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.2, -6, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4\/3 (b) -1\/4 (c) 3.7 (d) -0.39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1417*v = 81*v + 29392 for v.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 7 - 17 = 4*c + c + 3*r + 27, -2*c - 96 = 13*r for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10904 = -190*p + 132*p. Calculate the greatest common factor of 108 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/3 + -5)*(74 - 67)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -46\/9 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -2*p + 308 + 1365, 2*p - 1682 = -4*h. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 22 = -15*b - 264, 0 = -3*b - 5*g - 43 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -608.7724 to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 PM and 2:06 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 21 + 29 = 0. Suppose 40 = 3*m + o*m - q, 4*q - 20 = 0. Is m a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/207420 and 131\/165936.\nAnswer: 829680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 148, 533, 1114, 1843, 2672, 3553, 4438?\n\"Answer: -8*q**3 + 146*q**2 + 3*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-91)*(-12172160)\/(-160512).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6 + (4 + 5 - 4). Let o(a) = -89*a**3 - 3*a**2 + 1. Let v be o(g). Calculate the greatest common factor of v and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -388544 = -208*l + 144*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118648067 a multiple of 407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*w = -114*w - 76 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -8*c**3 - 21*c**2 - 21*c - 11. Let z be d(-8). Suppose 10*l + 479 - z = 0. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 4*k**3 - 2*k**2 - 3*k + 6 - 6 - 2*k**3 - 2. Suppose -2*i + 11 = -0*i - t, -5*i + 10 = t. Calculate the remainder when 73 is divided by v(i).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53 + (-9 - (4 + -15 + (-22 - -17))).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 51025 = 3*g, -47787 = -4*j + g + 54268. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**2 + o + 1. Let c be f(-1). Let a be 6*(-1)\/(-8)*4. Suppose -a*m - 89 = -4*u, -5*u + c*m + 91 = 5*m. Does 10 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-3)*4\/18?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 0 - 8)*(1 - 4 + 4)*(z - 2 - 2*z + 3)*(5 - 5 - 6*z).\nAnswer: -6*z**2 + 6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -u + 1, -5*u = -3*z - 25 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2897 (base 10) to base 11.\nAnswer: 21a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssn when three letters picked without replacement from sknkksntt?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92923*b = -93334*b - 20550 for b.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 9*g - 442. Give u(49).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 42*b**2 - 26*b + 1751. What is c(42)?\nAnswer: 659","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-2 + 0 + 1 + -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 22536319 to the power of 1\/4, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -7*u. Let h(o) = -22*o**2 - 12*o - 12. Let w(d) = 9*d**2 + 5*d + 5. Let l(f) = 5*h(f) + 12*w(f). What is l(m(v))?\nAnswer: -98*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -0.022, -0.5, 5, 0.038981?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ykii when four letters picked without replacement from yiiwiiiikywy?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4581, -196, 3.6 in descending order.\nAnswer: 4581, 3.6, -196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -3*z**8\/4 - 7*z**5\/20 + 79*z**4 + 543*z. Find the third derivative of s(j) wrt j.\nAnswer: -5040*j**3 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1.3, 23, 16, -0.33?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1744, 5, -77.\nAnswer: -77, 5, 1744","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -161b1 + -2?\nAnswer: -161b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(187) + sqrt(187)*-2) + sqrt(187))*-1)\/(sqrt(704) - 2*((sqrt(704) - (sqrt(704)*-1 + sqrt(704))) + sqrt(704)) - sqrt(704)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z + 31 + 48 + 5 = 0 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 1:06 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 6*v**2 - 6*v + 2. Let n be u(4). Suppose 5*z + 0*z - n = 0. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j**5 - 661*j**4 - 1294*j**3 + 1975*j**2 + 2596*j - 2612 = 0 for j.\nAnswer: -653\/4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2*q = -40, 13*m - 16*m + q = -43. Calculate the highest common factor of 2 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 4*x**2 - 1. Let k = 0 + 3. Let m be z(k). Suppose l = 5*l - m. Solve -r = -0 - l for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31003 and 1043567?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 371*r + 42. Let h(o) = -248*o**2. Determine k(h(l)).\nAnswer: -92008*l**2 + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15084?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-2) + (-102)\/(-4). Let v be (-536)\/(-2412) - (0 + (-6170)\/18). Let u = -340 + v. Solve 0 = 5*j - k, -u*h - 7 = 2*j - 29 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 985, 1.44, -2\/3, 5, 0.1, -0.6?\nAnswer: 1.44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {q: 4, h: 1, p: 10, d: 2, g: 2}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4891300 rounded to the nearest one hundred thousand?\nAnswer: -4900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/2)\/((-6)\/((-396)\/(-121)))?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y + 6. Let v be c(3). Let w(f) = -4*f**3 + 5*f**v - 3*f**3 + f - 5*f**2 + 3 + 3*f**3. Let z be (-6 + 2)\/(-1 + 0). Determine w(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - (-3 - -5)*-3. Suppose g = -3*w + 18. Solve -3*j + 28 = 2*j + l, 4*j = -w*l + 32 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 PM and 11:38 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -6. Let d = j + 0. Suppose 0*q + 2*q - 5*v = -7, 4*q - 51 = -d*v. Is q a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100110110011 - -100111?\nAnswer: -100110001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -4*p + 1, n + 4*n + 25 = 0. Let t be (1 - 0) + 4\/((-4)\/(-3)). Suppose 6*z - p*z - t = 0. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 233024304 + -4?\nAnswer: 233024300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 903*s**2 + 9851*s + 418. Give j(-11).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-96)\/240)\/((-7)\/5).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -39*w - 16. Let x be l(-8). Does 6 divide 1\/(14\/x) + 3\/(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*r**2*v**4 - 109956*r**2*v**2 - 23*r**2*v + 4490436*v**5 wrt v.\nAnswer: 48*r**2*v + 269426160*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {x: 15, s: 4}.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26936*i**5 + 85*i**2 - 7.\nAnswer: -1616160*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 156 = -176 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence av when two letters picked without replacement from avaav.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -1. Is 3 + w\/(-2) + -2 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.0969 and 1?\nAnswer: 0.9031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -4*i + 16. Calculate t(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 450 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 - 83\/3. Is u greater than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/1486 (b) -47 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 64 + -68. Let q be 1287\/15 + t*1\/(-20). Find the common denominator of -95\/44 and (q\/11)\/((-8)\/(2 - -2)).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 12*a**2 + 15*a + 1. Let g(u) = u**2 - 5*u. Let w(c) = 3*g(c) + m(c). What is w(2)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8\/5? (a) 4 (b) -1\/2 (c) -0.4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-13)\/(-2))\/(3\/(-42)). Let f = -146 - g. Let k(n) = 10*n - 55. Let o(b) = b - 6. Let c(l) = f*o(l) + 6*k(l). Let y(w) = 2*w. What is c(y(p))?\nAnswer: 10*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10.27 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 48173606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 217597.219 and 13107.\nAnswer: 230704.219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -46 + 24. Let j be (((-1)\/2)\/(7\/(-378)) - 4)*-1. Let v = j - u. Sort v, -2, -4.\nAnswer: -4, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -5*k - 8, 2*k = 4*k - 5*g + 20. Let b(t) = -t - 12. Let i be b(k). Let z = 17 + i. Solve -z*y + 9 = -4*f, -7*f = 2*y - 2*f + 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4345 + -5?\nAnswer: -4354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -3. Let w be 1 - (-6 - 3 - -4). Put r, -2, w in ascending order.\nAnswer: -2, r, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of -h**8\/112 - 11*h**7\/210 - 9*h**5\/10 - 42*h**2. What is the third derivative of r(j) wrt j?\nAnswer: -180*j**2 - 264*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - -0.0949?\nAnswer: -17.9051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 8*m = -5*m - 71, -3*m + 45 = 3*r. Suppose 4*c + 2*x - 20 = -2, -4*c - x = -r. What is the greatest common factor of 34 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 415 - 207 + 13*a**3 - 206.\nAnswer: 13*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.0258 times -1413\nAnswer: -36.4554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i - 10, 0 = 2*p - 5*p - 5*i + 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*3*5\/((-25)\/2)*2?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1997?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 25\/922383?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15.08 + 12. Let b = -129.92 + 130. Let w = s + b. Sort w, -0.5, -2\/11.\nAnswer: w, -0.5, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 32*z**3 + 4*z**2 + 4*z + 5. Let q(m) = -64*m**3 - 7*m**2 - 7*m - 9. Give -7*k(n) - 4*q(n).\nAnswer: 32*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*w + 97*w + 6*w to the form x + h*w and give h.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of -117*h**3 + 282*h**2 + 131*h. What is the first derivative of b(m) wrt m?\nAnswer: -702","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 665984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -303, -51, -0.3, -4, -204, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h = 226 - 356. Let p(j) be the second derivative of 0*j**2 + 1\/24*j**3 + 0*j**4 - 1\/40*j**5 + 1\/168*j**7 + 0 + h*j + 0*j**6. Factor p(r).\nAnswer: r*(r - 1)**2*(r + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 2*p + 6 = 0. Sort -19, -3, p.\nAnswer: -19, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (28 - 9 - 37)*(-43*s**2 + 146*s**2 + 59*s**2) as z*s + j*s**2 + r and give j.\nAnswer: -2916","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.5 + 1.5. Let t = r + -4. Let f = -0.96 - -1.06. Which is the nearest to f? (a) -7 (b) 3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 26 and -24.4.\nAnswer: -634.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-10)*35\/(-147).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.1 - -1.9. Let r = -0.9 + 0.4. Which is the smallest value? (a) 0.3 (b) r (c) -0.1 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (1 - 3 - -2) + 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2799 - 79 = 10*h. What is the smallest common multiple of h and 153?\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 7:22 AM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -21, 0, -2\/16535533?\nAnswer: -2\/16535533","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9771497 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -421002 + 4?\nAnswer: -420665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23388\/5 - -192763891\/41210. Which is bigger: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 37, 86, 155, 244, 353, 482?\nAnswer: 631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 r when two letters picked without replacement from {i: 3, u: 1, r: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 40 = -7*o. Suppose 2*a = -5*f - 18 - 2, 5*f - 4*a = o. Is 8 a factor of f\/3 + (-64)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*q = 101*q - 43*q - 198 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -44717 - -76594. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*x**3 - x - 49*x**3 + 4*x in the form y*x**3 + r + f*x + u*x**2 and give y.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 792611 and 1423.\nAnswer: 1423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 135 + (-42)\/30*5 and 6.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1001015 (base 6) to base 3\nAnswer: 2101022102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - ((2 - -1) + -5)) + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 206856 and 6120.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 476616 and 288.\nAnswer: 5719392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0*-90\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 10 (b) 2\/9 (c) -2.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 80961?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 10793, 10800, 10807, 10814?\n\"Answer: 7*o + 10786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7.004 and -5.\nAnswer: -35.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -104*c + 511. Determine w(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32 - -34.2. Let w = i - 1.9. Let x = -11\/6 - -4\/3. Which is the nearest to x? (a) 5 (b) 0 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence whz when three letters picked without replacement from {w: 1, t: 3, h: 1, m: 1, z: 6}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 2 o, and 1 r when four letters picked without replacement from oovvooovvovrorvv.\nAnswer: 21\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1)\/(-3) + 239\/(-24) and (-39)\/130*-10 - 217\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of v**3\/3 + 2069*v**2 + 4280761*v + 10276. Factor q(t).\nAnswer: (t + 2069)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*t**2 + 16056*t - 16112196 = 0. What is t?\nAnswer: 2007","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wkf when three letters picked without replacement from qfkwkwk?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (22\/(-16) - -1)\/(1081\/92 + -14). Let v(g) be the third derivative of 0 - a*g**3 + 0*g - 1\/12*g**4 + 14*g**2 - 1\/60*g**5. Solve v(n) = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 7, -48.\nAnswer: -48, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6791668 and 4220?\nAnswer: 33958340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -120*f**6 - 3*f**4 + 18*f**3 + f**2 + 183*f - 4 wrt f?\nAnswer: -14400*f**3 - 72*f + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7538.086kg in micrograms?\nAnswer: 7538086000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000066026243 rounded to 7 dps?\nAnswer: 0.0000066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -7*p**2 - 3*p + 3. Let t(z) = 18 - 4 - 36*z**2 + 0 - 14*z. Let r = 56 - 59. Let m(a) = r*t(a) + 14*s(a). Let l(k) = -k**2. What is l(m(d))?\nAnswer: -100*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 160884425 to the power of 1\/3, to the nearest integer?\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/2 - 159*z + 25281\/2.\nAnswer: (z - 159)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 50170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 + 1356*n**2 + 15696*n.\nAnswer: 4*n*(n + 12)*(n + 327)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/9500 and -173\/646950.\nAnswer: 6469500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1979661 to the nearest integer?\nAnswer: 1407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 464.092 + -464. Let j = i + -0.392. Which is greater: j or -65?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 231000223 (base 4) to base 14.\nAnswer: 4b28b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 274 divide 1439656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 1.2, -0.4, -0.02027 in increasing order.\nAnswer: -4, -0.4, -0.02027, 0, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 75 and 6027.\nAnswer: 150675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 plus -37687657?\nAnswer: -37687655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + 4)*2 + sqrt(3) + 4 - (sqrt(432) + -2).\nAnswer: -9*sqrt(3) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 9*n)*(-4 - 2*n + 4)*(3 + 0 - 4).\nAnswer: 18*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 3*l. Let d(a) be the first derivative of -a**2 + 24*a + 8. Let r be d(10). Calculate t(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-10)\/3 - -4)\/((-11)\/3). What is the nearest to 0.1 in h, 6\/7, -0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 13*l = -90. Let b(p) = p**3 - 5*p**2 - p - 7 + 0*p - 5*p. What is b(l)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/3)*x)\/x)\/x**(1\/5)*(x\/x**19)\/(x*x*x**(-2\/59)*x) assuming x is positive.\nAnswer: x**(-18437\/885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 824 - 780. What is the smallest common multiple of 198 and w?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1002*f - 975*f = -459. Sort -1, -10, f, -3 in ascending order.\nAnswer: f, -10, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4537 times -5\nAnswer: -22685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.16381469 to 3 dps.\nAnswer: -0.164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -d**5 + 35*d**4 - 321*d**3 + 253*d**2 + 322*d - 288 = 0.\nAnswer: -1, 1, 16, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1834148 to the power of 1\/3, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 165 + 27. Suppose 846 = 4*h + 2*g + u, -5 = -g. List the prime factors of h.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17035\/7 - 2439. Find the common denominator of (-8)\/(-36)*(-99)\/(-6) and j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*z**4 + 9*z**3 - 48*z**2 + z**5 - 51*z - 5*z**5 + 28*z**3 + 17*z**3 + z**5 = 0. Calculate z.\nAnswer: -1, 0, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 - 2*q + 0*q + 1 - 3 + q. Suppose 2 = -4*x + 5*p, -p = 5 - 3. Calculate b(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12362*v**6 - 22*v**3 - 475*v**2 - 1283*v - 4?\nAnswer: 1483440*v**3 - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -492, -4, -3.8 in decreasing order.\nAnswer: 2, -3.8, -4, -492","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**5*y*y\/y**(-2\/3))\/(y*(y\/y**(-1))\/y*y)**(-1\/12))\/((y\/(y\/y**(-1\/5)))\/(y\/(y\/y**(-6\/11)))*y**(1\/12)\/((y*y*y*y**7\/y)\/y)) assuming y is positive.\nAnswer: y**(5111\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13231.91749 - 13232. Let j = -28.083 + 28. Let v = s - j. Round v to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -6*z**3 - 2*z**2 - 2*z - 2. Determine s(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 92416988?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -400 + 399.9. Let p be 4\/(-74)*1846\/(-4). Let s = -25 + p. Put -3, s, w in ascending order.\nAnswer: -3, w, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -2\/83, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22562037 to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -3596*d - 32. Let o(m) = -3591*m - 26. Give -5*o(x) + 4*t(x).\nAnswer: 3571*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + (-9)\/((-27)\/(-12)) + 13. Let i(u) = 2*u - 16. Let f be i(10). Solve w = 5*s - 5*c, -s = f*s - 3*c - 12 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142562545.\nAnswer: 5, 821, 34729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 10*u**2 - 12*u + 10. Let s be r(-11). What is the highest common divisor of 21 and s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 21\/5 of a gram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 5*g - 12 = 0. Suppose -24 = -g*o + 16. What is the lowest common multiple of 18 and o?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5735, -11495, -17283, -23099, -28943, -34815?\n\"Answer: -14*u**2 - 5718*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 89875315 divided by -5\nAnswer: -17975063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/6*-7*3. Let h = 135 - 135. Suppose 2 = 2*w + 2*q - 2, w - 2*q + k = h. Which is bigger: w or -1\/114?\nAnswer: -1\/114","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 85, -2, -5, -4, 2 in ascending order.\nAnswer: -5, -4, -2, 2, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*p + 339678 - 339678.\nAnswer: -19*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -388?\nAnswer: -38b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((14\/(-35))\/((-16)\/10))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*k**4\/7 - 662*k**3\/7 - 1800*k**2\/7 - 904*k\/7 = 0. Calculate k.\nAnswer: -2, -2\/3, 0, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -9 - 3*z - 1 + 1. Let k be (-40)\/(-5) + 607 - -3. Let n = k + -614. Let j(a) = -5*a - 17. Give n*j(x) - 7*l(x).\nAnswer: x - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j**2 + 2 + 0*j + 2*j + 20*j**2.\nAnswer: 20*j**2 + 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41*h**4 + h**2 - 36*h**4 - 2*h - 3*h**3 + 2*h**3 to the form x*h**2 + n + f*h**3 + g*h + m*h**4 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of d**5\/30 - d**4\/8 - d**3\/2 - 3*d**2. Let r = 3 - 6. Let v be x(r). Calculate the highest common divisor of v and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 - 2)*(-11 + 2 - 2)*(-2 + 2 + 2)*(-2*b - 4 + 4) to c + u*b and give u.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u**5 + 380*u**4 - 8196*u**3 - 471788*u**2 - 917488*u - 454272 = 0.\nAnswer: -104, -28, -1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2427\/3445 - 72\/689. Put -4\/5, 13.4, j, 2\/29, -0.4 in decreasing order.\nAnswer: 13.4, j, 2\/29, -0.4, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-23)\/((-27209)\/18967) + -16)\/(2\/14)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.0138268 months to decades.\nAnswer: 0.01678189","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 3*o + 3, -2*z + 5*o + 5 = -0*o. Suppose -t + 4*t - 33 = z. Determine l so that 4 + 16*l + 4*l**2 - 3 + t = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -975*s**3 - s**2 + 48*s + 49. Let m be w(-1). Calculate the greatest common divisor of m and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -18*u. Let r(l) = -5*l + 25. Let q be r(4). Suppose -7*z + q*z + 352 = -5*h, 69 = -h - z. Let m = -71 - h. Give p(m).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.12 or 5\/11?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 8:48 AM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*v**3 + 994*v**2 - 377*v + 3619524 wrt v.\nAnswer: -12*v**2 + 1988*v - 377","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 1555*d**2 - d**3 - 2*d**4 - d + 1577*d**2 - 5 - d + 3*d to the form f*d + c + l*d**4 + x*d**2 + k*d**3 and give x.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32 - 26. Which is smaller: j or -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 7*k - 6*k)*(4*k - 29 + 29)*(216*k + 822 - 822).\nAnswer: -1728*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of 43*p**6\/4 + 701*p**5\/20 + 1487*p**2. Find the third derivative of l(b) wrt b.\nAnswer: 7740","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 2*(1*sqrt(1584)*2 - (sqrt(1584)*1 + -1) - (-2*-1*sqrt(1584) + 5)))**2.\nAnswer: 192*sqrt(11) + 6352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (3 + ((sqrt(76) + (-1*sqrt(76) - sqrt(76)))*3*2)\/((sqrt(4) - (sqrt(576)*-2 + sqrt(576) - sqrt(576)))*-1))**2.\nAnswer: 36*sqrt(19)\/25 + 6309\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from glllgg. What is prob of sequence gl?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 + 2 - 19 - 3*x - 15.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + 4*x**2 - x + 2. Let y(i) = -20*i**3 + 26*i**2 - 9*i + 12. Give -6*l(c) + y(c).\nAnswer: -26*c**3 + 2*c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r + 12 - 57 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of d**2\/2 + 17*d - 13. Let k be y(-8). Let f = k - -13. Calculate the least common multiple of 2 and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = 28*m - 25*m + 16, -5*b - 20 = -2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8572735 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v - 10*v**2 + 5*v**2 + v + 2*v**2 - 2 + 2 + (2 - 2 + v)*(-3*v + 0*v + 4*v) + 5*v**2 - 2 + 2 + 3*v - 3*v - 2*v**2 as d*v**2 + l + w*v and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 4. Let a be 121\/o - (-1)\/(-2). Let q be 8\/(-28) + a\/14. Let v(u) = -u**2 + 6*u - 2. Calculate v(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 j when two letters picked without replacement from ooljljjjjojoojj.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 618?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 135280 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 3:40 AM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 6*m**2 + 133*m + 15. Let z be o(-22). Is (-11 - -14)\/((-1)\/z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 716, 2825, 6320, 11201?\nAnswer: 17468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.8, -37\/10, 0, 0.2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 1661*q + 554950. Determine h(-334).\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 119c (base 13) to base 7.\nAnswer: 10163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*f = -9. Solve 0*u = w + 5*u - 21, -f*u = -5*w - 35 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/156*(-4)\/8.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 12, -0.09, -1\/2 in increasing order.\nAnswer: -2, -1\/2, -0.09, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + 27d54?\nAnswer: 27d58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 12\/25 of a meter?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + 5*k**2 + 6*k + 3. Let u be x(6). Suppose 0 = -3*r - 0*r + 9, -d + 5*r - 10 = 0. Solve 4*i - d = u for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppfltan. What is prob of picking 1 t, 1 f, 1 p, and 1 l?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-630)\/80 - -2 - 2\/16. Let q(b) = -11*b - 65. Determine q(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2*d + 11. What is the remainder when d is divided by 4 - (-1 + 0 + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -118, -258, -550, -1054, -1830, -2938?\n\"Answer: -10*j**3 - 16*j**2 - 22*j - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -2*z - 3*f, 5*z - 65 = -148*f + 149*f for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*a - 35*a + 288 = 0. Solve -15 = -5*v, 0 = 12*o - 11*o - a*v + 9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from suddst. What is prob of sequence us?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 141612227?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 141 + 4*g - 141 in the form v*g + a and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 43838892523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -67 - -77. Calculate the remainder when 48 is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63164 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -64 - -75. What is the highest common divisor of j and 913?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i - 5*v = -197, 5*i + v = -0*v - v + 136 for i.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1041086 or 1041088?\nAnswer: 1041086","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59752181?\nAnswer: 47, 223, 5701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -24\/30793 and 107\/50078?\nAnswer: 220293122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 35251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 134495 * 93\nAnswer: 12508035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7ddcb - 2c1?\nAnswer: 7db0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 (base 7) in base 15?\nAnswer: d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -48\/5 >= 360036?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + 43674?\nAnswer: 4366d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -141*r - 445. Calculate a(-3).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16771607 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240)*-1)\/sqrt(12) + -1 - (-2 + (0 + sqrt(5) - sqrt(5))*-4)*-4)**2.\nAnswer: 36*sqrt(5) + 101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of x**2\/2 - 2*x + 1. Let r = -14 + 10. Let y be ((-6)\/3)\/2 + r. Determine o(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) -1.4 (c) -2 (d) 3 (e) 1242 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2 - n**2 - n + 2 + 4*n**3. Let k be m(-1). Let q be (-6)\/(-5)*(-8)\/24. Which is the closest to -1? (a) q (b) k (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.5, 680, -2\/15, 1, 1\/3, 6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c. Let f(g) = 3137*g**2 + 1. Calculate z(f(y)).\nAnswer: -3137*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 5*h - 21 = 0, h - 3 = -x + 2*h for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 155, 18, -4, 3, 10, -3, 60 in increasing order.\nAnswer: -4, -3, 3, 10, 18, 60, 155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 6:50 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/15 + 199634*l**2\/15 - 39928*l.\nAnswer: 2*l*(l - 3)*(l + 99820)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -5*i**2 - 56*i. Let a be v(-11). Sort a, -3, -0.9 in decreasing order.\nAnswer: a, -0.9, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/((c*c*c\/(c*c**1\/c*c)*c)\/c))\/(c*c**(-10\/3)*c))\/((c**(4\/9)*c*c)\/c*c\/c**1*c) assuming c is positive.\nAnswer: c**(-10\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - q + q)*(-q + 5*q + q) + 2*q**2 + 5*q**2 - 4*q**2 + (-1 + 1 - q)*(-2*q - 3*q + 3*q) + (-1 - 2 + 4)*(-191 + 2*q**2 + 191).\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - 18*z**2 - 19*z - 4. Let p be k(-17). Let b = 35 - p. Suppose r - 5*u = 47, 107 = 7*r - b*r + 3*u. Is r a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1360.0472 rounded to the nearest 100?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + z = -10, 4*z + 10 = d - 2*d. Let i be (d\/(-8) + 2)*68. Find the common denominator of -1 + -1 - i\/(-54) and -69\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4390854.0217 - -0.5?\nAnswer: 4390854.5217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -101121111 (base 3) to base 5\nAnswer: -221420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of j**5\/60 + 7*j**4\/24 + j**3 - 6*j**2. Calculate the smallest common multiple of 16 and m(-7).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28 - (-4420)\/108) + (0 - 13)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 141176.339916 - 141176. Let y = r - 0.34. Round y to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 4*y**2 + 6*y - 8. Let g be r(4). Suppose 2*b = -4*x + g, 4*x + 6*b - 18 = 3*b. Solve -x*o + 3*s - s + 2 = 0, 3*s + 3 = -2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 9) to base 8\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 6 = 9*v - 4*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -7*f**4\/4 + 9*f - 8. Differentiate y(d) with respect to d.\nAnswer: -21*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -3 + (-6 - (-3 - 7)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 22*i**2 - 82*i + 2449. Calculate g(23).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 186\/4*(-2 - -6). Let v be u + 1 - (5 - 2). Suppose -6*x - h + v = -x, -5*x + 5*h = -190. Is x a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 3 = -4*z, -4*v - 24 = 2*z - 6*z. Let d(r) be the first derivative of r - 1 + r**2 + 1\/3*r**z. Factor d(h).\nAnswer: (h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-2*(sqrt(104) + sqrt(104)*-1))\/(((sqrt(64)\/sqrt(2))\/sqrt(2))\/sqrt(2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.0445*-1376.4\nAnswer: -61.2498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, h: 1, d: 2}. Give prob of picking 1 h and 1 x.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -4884560 to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90238 is divided by 196?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 + 21.000029. Round f to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77865 (base 9) to base 8.\nAnswer: 145031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 5*a**2 - a + 3. Let n be m(5). Let y be 39 + 1\/n*8. What is the highest common divisor of 7 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 7:45 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17670820 to the nearest integer?\nAnswer: 4204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12085 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3*b**3 - 3)*(2*b + 6*b - 4*b)*(-1 - 3 + 3).\nAnswer: -12*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 378618 to the nearest integer?\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -4. Suppose -151 = -y - 2*y + f, -4*y = n*f - 198. What is the remainder when y is divided by ((-711)\/316)\/(2\/(-24))?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of s**7\/30 - s**4\/8 + 6*s**2. What is the second derivative of h(g) wrt g?\nAnswer: 84*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -26 + 426?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.49 * -0.926.\nAnswer: -6.00974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.98 - -0.02. Let q = 105886\/9 - 11765. Sort t, q, -1.2.\nAnswer: -1.2, q, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.5 + 0. Let z = -0.58 - 1.42. Let r be ((-6)\/(-30))\/(3 + (-47)\/15). What is the nearest to z in w, r, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 4*z - 13. Is j(5) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -5*v + 6*g + 25, -11 = -2*v + 3*g. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-7) + 12\/21. Suppose -5*r + 2*h + 22 = u, 0*r + 2*h = -r + 14. Is 2 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 546 - 172. Let m = t - 376. Which is the closest to 1\/6? (a) 2 (b) -3 (c) -1.9 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -50 - -38. Let f(s) = -43*s - 19. Is f(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(68)*5)\/(sqrt(576)*-1 - sqrt(576)))**2*-5.\nAnswer: -2125\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f*f\/(f\/(f\/(f\/(f**(-6)*f)*f)))*f*f)\/f*f**(-1))**(2\/7))**4 assuming f is positive.\nAnswer: f**(-32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 2*c + k - 5*k, 5*c + 45 = -5*k for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -3. Suppose 0*w - d*w + 10 = 0. Suppose -78*m + 76*m = -6. Solve 5*j - w = m for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from vvvvaaav.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1301777113?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - j - 15, q - 3*j = -0*q - 20. Let o = q + 17. Calculate the remainder when 91 is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of -1\/420*z**7 + 1\/120*z**5 + 0*z**3 + 24*z**2 + 0 + 0*z**6 + 0*z**4 - 3*z. Factor f(p).\nAnswer: -p**2*(p - 1)*(p + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in nineteen quarters of a tonne?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -j**4 + 651*j**3 - 66795*j**2 + 129053*j + 196500 = 0.\nAnswer: -1, 3, 125, 524","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvvvnfvnf. Give prob of sequence nfn.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - 2*f**2 + 115*f - 48. Let j be w(-12). Solve 4*l = 6*l + j for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 2 = -4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 256 and 22.\nAnswer: 2816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 352.078 years in centuries?\nAnswer: 3.52078","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 + 9*y - 46. What is b(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -114, -116, -118, -120, -122, -124?\n\"Answer: -2*j - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 10 = -14 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 + 2*k**2 + 10. Let s be f(0). Let i be ((-25)\/3)\/(2\/(-6)). Calculate the greatest common divisor of i and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -39166*m**2 + 39166*m**2 - 1073*m**4 + (4*m**2 - 6*m**2 + 3*m**2)*(3*m**2 - 3*m**2 + 2*m**2) + (-m**3 + 3*m**3 + 0*m**3)*(-2*m + 0*m + m).\nAnswer: -1073*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**2 - 37*a**3 + 15*a**3 + 2*a**2.\nAnswer: -22*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45300, 91276, 137252?\nAnswer: 183228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/26, -0.2, 5.\nAnswer: -0.2, 1\/26, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6 - 3\/(-3 - 0). Suppose -3*u - 8 = 5*k, 3*k - 5*k = 8. Let d be 2\/(-4)*u\/g. Which is the second biggest value? (a) d (b) 0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 8:12 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t + 3. Let u be r(-4). Suppose -2*a - 244*c = -243*c - 32, -2*c + 16 = 2*a. Sort 5, u, a in increasing order.\nAnswer: u, 5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4977586169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 701129*j**2 - 2*j**3 - 701129*j**2.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-18) - (-2)\/18. Let d = 521384 - 521383. Put w, -5, -0.2, d in decreasing order.\nAnswer: d, w, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 757 - 2244 + 2*d**2 + 1487.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 259 - 223. Suppose -530 = z*k - 3122. Calculate the remainder when k is divided by 17.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7686*h - 3815*h - 495488 = 0 for h.\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 405*x**4 - 563022*x**3 - 1027444*x**2 + 206008*x + 11136 = 0 for x.\nAnswer: -2, -2\/45, 2\/9, 1392","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20 in 0, -1, 1, 0.2, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 2*i - 5*o, 37*i - 39*i + 14 = o. Which is bigger: -54 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 12 = -4*h, 2*h = -4*v + 7 + 11. Let p be (v\/(-3))\/((-10)\/(-75))*-1. Solve 3*i + 5*x = -10, -2*i - p*x = 2*i + 15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/(-1) - -2)*(-4)\/28*-14. Solve 372*v - l*t + 13 = 373*v, -5*v - 3*t = -30 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4 + 3*d**3 - 4*d**2 - 12*d.\nAnswer: d*(d - 2)*(d + 2)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22063 + -25201?\nAnswer: -3105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -41 divided by -20\nAnswer: 41\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, w: 1, b: 1, d: 1, c: 2, q: 1}. Give prob of sequence qcdx.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 10:07 AM?\nAnswer: 6:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -28 (b) 1\/8 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y - 3*y + 0*y)*(11*y - 18*y - 11*y) to the form x*y**2 + b*y + n and give x.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 333 + -333. Suppose -3*u + 15 = b, 3*c - 308 = 4*u + 206. Which is smaller: 179 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32 * 188\nAnswer: -6016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 126 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 - 4*s. Let b(u) = 3*u**2 + u + 4. Let i(m) = -7*m**2 - 3*m - 10. Let g(k) = 5*b(k) + 2*i(k). Give 4*g(v) - t(v).\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 362641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of 389*a**5\/20 + 953*a**4\/12 + 4113*a. What is the third derivative of w(v) wrt v?\nAnswer: 2334","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19 * 0.24.\nAnswer: 4.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -178*((-144)\/(-32) + 3\/(-1)). Let m = 391 + h. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4088878187 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {v: 3, r: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzy when three letters picked without replacement from yzcyz?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.78 - 0.16. Let f = a + -116.06. Let p = 118.999794 + f. What is p rounded to 5 decimal places?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 4*o + 25, -5*g = -2*o - 10. Solve -5 + 6 = w, g*c = -5*w - 11 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.8 - -2.2. Let c = -4.5 + -0.5. What is the third biggest value in c, a, 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12838\/3 = -1\/5617?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1983.9 - 1836. Round d to the nearest 10.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (168\/(-22736)*28)\/(1\/(-29)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12314 is divided by 508.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*p*p**(1\/3)\/p)\/p)\/(p**(5\/4)*p))\/(p\/(p\/p**7)*p*p**6))\/(p**3\/(p*p**(1\/4))*p*p**(-7)*p*p**(2\/5)) assuming p is positive.\nAnswer: p**(-196\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.45 + -0.25. Let c = -2.3 + k. What is the nearest to -1 in c, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 8 + 11*z**2 + 0 - 5.\nAnswer: 11*z**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 18*u - 90 = 59*u, -5*u = -5*a - 6*u - 82 for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39901?\nAnswer: 39901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -5*g - 15. Calculate the greatest common factor of g and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -495283*a*i**2 + 92784*i**2 wrt a?\nAnswer: -495283*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 15*c**2 + 16*c + 6. Let h be i(-16). What is the greatest common factor of h and 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239390 is divided by 59829.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 75 and 3870?\nAnswer: 19350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -9987, -14121, -18253, -22383, -26511, -30637?\n\"Answer: y**2 - 4137*y - 5851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + m = -f + 9, -3*m = 3. Let u = -3 + 3. Suppose r = k - 7, -5*k + u = 3*r - 3. Solve 2*c + 0 - 2 = -4*z, 0 = -k*c + f*z + 25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 + 14*v + 16. Let t be -2 + -10 - (2 + -2). Let m be s(t). Let d = m - -5. Is d <= -12\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2 + 584*a + 5418.\nAnswer: -2*(a - 301)*(a + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 53*q**2 - 4*q**3 + 52*q**2. Let i be (3 + -1)*1\/(-2). What are the prime factors of f(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b = 23*b - 76. Let g be b*(7 + 88\/(-16)). Solve 0 = -5*u, -5*k - g*u + 10 = 2*u for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - (-4 + (-8 + 4 - -5)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48380664 is divided by 302.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 7 - 14 + 8 - 18 + 12 - 14*o**2 - 4*o. Let y(i) = 21*i**2 + 6*i + 7. What is 7*b(m) + 5*y(m)?\nAnswer: 7*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637) + 6*(sqrt(637) - (sqrt(637) + 5*sqrt(637))))**2 + (6*(sqrt(637) + 3))**2 + 4)*5.\nAnswer: 7560*sqrt(13) + 2794885","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2743653 is divided by 56.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -0*c - 4. Suppose 2*p + 2 = 4*r, c*r = 3*p - 1 - 0. Let t(o) = -o**2 + 5*o - 5. Let u be t(r). Solve 0 = -k - 5 + u for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-6)\/10 + ((-14504)\/(-40) - -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 195783 and 102553.\nAnswer: 2153613","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -486*h**2 - 1 + 1 + 1423*h**2 + 3014*h**2 - 5 as k + i*h + t*h**2 and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 1622*r**2 - 248*r - 496. Calculate the remainder when l(-2) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -a**3 - 11554*a**2 + 312811*a + 1436044 = 0.\nAnswer: -11581, -4, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 4. Let l = r - 6. Let k = -4 + 3.5. Which is the second biggest value? (a) 1 (b) l (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 52\/14 - 14\/(-49). Suppose -7*i = -n*i - 18. Suppose -d + i + 5 = 0. Solve z - 2 = -2*c + 3, -z + d = 5*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3602125 rounded to 2 decimal places?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**4 - 131702*i**3 + 395124*i**2 - 8*i - 526832 = 0.\nAnswer: -65854, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -961994 by -6589.\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-20) + (36\/112)\/3\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11218, -2, -2102 in ascending order.\nAnswer: -11218, -2102, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -181372.6 - -72233\nAnswer: -109139.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 54 + 56. Calculate the greatest common factor of z and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -92961475 minus -563.6?\nAnswer: -92960911.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ncx when three letters picked without replacement from nxatce?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 0.12223209.\nAnswer: 0.24446418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 122329848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -206*t**2 - 210*t**2 + 415*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2492 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - 20*g - 6. Let o be a(-12). Let l be 40\/6*(-6)\/(-4). Calculate the greatest common divisor of o and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1767 and 171?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -0 + 6. Let b(q) = 3*q + c*q + 6 + q**2 - q. List the prime factors of b(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/(-36))\/(-7)*12*(-1935)\/(-1032)\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60715 = -21*d - 60925 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.07 + -0.1. Let o = b + 2.03. Let g = -2 + o. What is the second biggest value in -3\/4, g, 1\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-26*8370\/(-18135)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/(220\/35))\/((-35)\/190).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3735025 take away 8.22?\nAnswer: -3735033.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -13*o. Let s(k) be the third derivative of 11*k**5\/60 - 413*k**2. Determine a(s(n)).\nAnswer: -143*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 13576.\nAnswer: 27152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -5*l - 238, -22*d + 338 = -19*d + 2*l. Calculate the remainder when 1038 is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -7*l - 2. Let b(n) = 139 + 140 + n - 279. Give -6*b(q) - h(q).\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.345 times 5\nAnswer: 1.725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5964048941?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-5\/2)\/(x\/x**(2\/41)) assuming x is positive.\nAnswer: x**(-283\/82)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2025036687 to the power of 1\/3, to the nearest integer?\nAnswer: 1265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*m = d - 85*m - 6, 9*d = -2*m + 94 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 - 13. Let h(s) = s**3 + 5*s**2 + 5*s + 3. Let m be h(-4). What is the tens digit of (m\/a)\/((-24)\/5544)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -3*d + 14 - 14 + 29*d. Let z(i) = -2*i. Give q(z(j)).\nAnswer: -52*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -43 + 50 - (7 + 56) - -12\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = -12*g + 36*g - 0. What is the nearest to -0.1 in -0.8, g, -0.02, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f**2 - 10*f - 3. Let p be u(-5). Let m(q) = -10*q - 32. Let g be m(p). Put 101, 0.5, g in decreasing order.\nAnswer: 101, 0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13378655*i*l**2 - 13252165*l**2 wrt i.\nAnswer: -13378655*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/2, -1\/3, -525.407, 0.3 in descending order.\nAnswer: 7\/2, 0.3, -1\/3, -525.407","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320)*-5*1)\/((-3*-1*sqrt(40))\/sqrt(4)) + 4 + 0.\nAnswer: -20*sqrt(2)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 5:06 PM?\nAnswer: 7:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31547 + 31570. Solve 4*f - v = -23 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 1, 2, -0.23, -5, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3*(-2)\/40)\/((301860\/(-4859))\/(-78)) and 101\/400.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 161 by -1334.\nAnswer: -7\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 8, u: 5, q: 3}. What is prob of sequence uu?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 466 is divided by 91?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l = -4*l - 664. Let h = l - 89. Suppose -h*q + 308 = -75*q. Is q a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4 - 23*z + 5 + 85*z**2 + 53*z**2 + 10 - 21 wrt z?\nAnswer: 276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 c when three letters picked without replacement from {c: 10, x: 4, v: 5}?\nAnswer: 60\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33 + -34. Let a = -1.3 - 3.7. What is the nearest to g in a, 0, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -27*k**2 - 7433*k - 750. Give t(-275).\nAnswer: 1450","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 312782 is divided by 62?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -2 - (0 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27131 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.73613322 rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f - 3. Let i(c) = 2*c + 8. Let g be i(-7). What is the remainder when k(-4) is divided by g\/(-2) + (3 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-94)\/(-12) + 1\/6. Let a(r) = 1 - 1 - h*r - 1 + 0. What is a(-2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a millimeter in micrometers?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 104442401 (base 7) in base 11?\nAnswer: 3622153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + v**2 - 7*v + 361. Let i be y(0). Let p = 516 - i. Calculate the greatest common factor of 31 and p.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-o - 1 + 1)*(17 + 8 + 2 + (-3 + 5 - 4)*(0 - 2 + 4)) to l*o + q and give l.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 10 - (-2 + -1 + 11 + 0).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 366 - 375 = -n, 0 = 16*n - 2*y - 186 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-42)\/(-18))\/((-35)\/(-90)). Solve -28 = -2*i + d*q - 2*q, -10 = 2*q for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-27))\/1 + 828\/(-9234)?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*v**4 - 5*v**3 - 3*v**2 + 543*v wrt v?\nAnswer: 48*v - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 6*u**4 - 6*u**2 - 3. Let i(s) = -5*s**4 - s**3 + 5*s**2 + s + 4. Let c(g) = 3*i(g) + 4*r(g). Factor c(n).\nAnswer: 3*n*(n - 1)*(n + 1)*(3*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -26426, -1, -2, 5, 15 in descending order.\nAnswer: 15, 5, -1, -2, -26426","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -3833*b**2 - 3*b - 2254. Let a(t) = 3858*t**2 + 2*t + 2252. Let y(g) = 3*a(g) + 2*m(g). Find the first derivative of y(w) wrt w.\nAnswer: 7816*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001869661 to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 249199 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*s**2 - 6 + 0 - 2 + 49*s**2 - 95*s**2 - 16.\nAnswer: -2*s**2 - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1, 0, 43, -328?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116535 is divided by 1254?\nAnswer: 1167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/6934789625 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z\/z**(-13)*z)*z**(-5\/6) assuming z is positive.\nAnswer: z**(-89\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 619408 - -2758.974?\nAnswer: 622166.974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/(-6)*(-324)\/(-72))\/(6\/(-4)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -73, -214, -483, -922, -1573, -2478, -3679?\nAnswer: -5218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 divided by -10992?\nAnswer: 19\/5496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of m**3\/6 - m. Let w(y) = -y**2 - 8*y - 3. Let p be w(-6). What are the prime factors of s(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 + -0.3. Let z = -1.1 - i. What is the third biggest value in -4\/5, z, 2?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 116 divided by 1\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-50)\/(-150))\/(7\/56)*66\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 344581905 to the nearest integer?\nAnswer: 701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2082730?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 588816?\nAnswer: 2, 3, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4669*u + 17112 = -4551*u + 9772*u for u.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*u + 3762 - 2178 = 0 for u.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 632\/1580*(-5)\/14*(-14)\/40?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of 0 - 12*s + 23*s**2 + 2\/3*s**3. Calculate the remainder when z(0) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -619\/7 or -89?\nAnswer: -89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 24929 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 0 + (37 - (13 + -107 + 41)).\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + s - 2. Let g be d(-3). Let f(a) = a**2 + 3*a + 2. Let p be f(2). Suppose -2*w = -h - 3*h + p, 0 = -g*w. Solve 0 = -h*u + u - 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 849, -0.221, -2?\nAnswer: -0.221","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1904?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in -85.4, 3\/4, 3151?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 102 and 884?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*l + 14*n = 15*n + 58, -28 = 4*l - 2*n for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -10*w - 1. Let o = -7 + 0. Suppose -7 = -q - r, 3*q - r + 1 = 6. Suppose l + 4 = q*l. Let u(p) = -3*p. Determine l*d(x) + o*u(x).\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s**3 + 10*s**2 + s + 5. Suppose -11 + 14 = y. List the prime factors of q(y).\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*v + 0*v + 15*v)*(0*v - 4*v + 6*v) + ((0 - 4 + 3)*(0*v - 2*v + 3*v) + 37 - 37 - 58*v)*(-6*v + 4*v - v) as n*v**2 + d*v + g and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 371*d. Let m(y) = 12*y. Let i(t) = -2*h(t) + 63*m(t). Suppose -8 = -5*a - w, -3*a - 5*w - 4 = -0*w. Does 16 divide i(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -45.9394093 and 429.\nAnswer: 383.0605907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*i + 43*i = 14365. Solve -163*x + i*x + 30 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -5 - b**2 - 26*b**3 + b + 4 + 0*b. Let n be r(1). Let o = -13 - n. What is the remainder when 41 is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 52 (b) -5 (c) 0.3 (d) -82\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 228381 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - 4\/2) + 5. Suppose 25 = 7*j - n*j. Suppose -j*b + 12 = -2*b. Let k(o) = -o**3 + 5*o**2 - 5*o + 3. Calculate k(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45.3 + -45.2. What is the nearest to h in 2\/9, -1\/5, -0.03?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14748, -14747, -14744, -14739?\nAnswer: -14732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2291242, -4582477, -6873706, -9164929, -11456146?\nAnswer: -13747357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 3*f - a, 383*f - 387*f + a - 21 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -5*v**3 + 2*v**2 - 17*v + 6. What is a(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/(-35)*0 + 6 + -1. Suppose 0*x - 3*j - q = 5*x, -x + 7 = -j. Calculate the greatest common divisor of x and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -436*x**4 + 102*x**3 + 6*x + 10549406 wrt x?\nAnswer: -1744*x**3 + 306*x**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w**3 + 45*w**2 + 23*w + 26. Let g be y(-22). Which is the smallest value? (a) 0.1 (b) g (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 987, 986, 985, 984, 983?\nAnswer: 982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/10*(-2)\/(-8) + 4670\/100. Let b(q) = 27*q - 2. Let s(g) = -28*g + 3. Let h(o) = 5*b(o) + 4*s(o). Let a be h(2). Which is smaller: a or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 AM and 10:55 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2 - -4.8. Let p = c - 4.9. Let r = 3 + -2. Which is greater: p or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -16*b. What is l(-3)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2350741 + 4695495 - 2344754 - 2*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31 + 27. What is the second smallest value in 2\/17, -10\/9, l?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26 and 6?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 + -17. Let s be (-105)\/(-21) - (1 + -1 - -5). Solve 5*g - 10 = s, 2*g + r = h + 5*g for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 4*y**2 + 2*y. Let n(r) be the third derivative of 3*r**2 + 1\/4*r**4 + 0*r + 0 + 0*r**3 + 11\/60*r**5. What is -8*b(p) + 3*n(p)?\nAnswer: p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 3:35 PM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x - 46*i + 48*i + 39, 4*x + 20*i = -228 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**3 + o**3 + o**3 + (2*o**2 + 5*o**2 + 0*o**2)*(o + 3 - 3).\nAnswer: 9*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -255*b + 2914 + 1676 = 51*b for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**5 - 1250*a**4 - 422*a**3 + 2351649*a**2 wrt a.\nAnswer: -120*a**2 - 30000*a - 2532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -287454*i**3*m + 575*i**2*m - 21262*i - 292*m wrt i.\nAnswer: -1724724*i*m + 1150*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3\/5 + 38*q**2\/5 - 148*q\/5 + 112\/5.\nAnswer: -2*(q - 14)*(q - 4)*(q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/29, 99\/74, -2\/9, 1\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -2, -44, -1 in increasing order.\nAnswer: -44, -3, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2124 is divided by 38.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 + 4*t + 2*t + t - 5*t as q + v*t and give q.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(-2)\/92*-20290. Let s = 441 + l. Which is bigger: s or -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2.3 and -68?\nAnswer: 70.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.91 + 2. Let d = w - 0.39. Which is the third smallest value? (a) d (b) -3\/5 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from gfqgfgfgg.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - -12) + 4 + (0 - -5 - -11)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -4257.135 to the nearest one hundred.\nAnswer: -4300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 2*a**5\/5 + 46*a**4\/5 - 2*a**3\/5 - 46*a**2\/5 = 0?\nAnswer: -23, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*b + 81 = 11*b - 111 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2534*p - 10 = -2532*p, -f - 2*p - 1 = 0 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*y + 588*y**5 + 4701*y**2 - 2349*y**2 - 2352*y**2 + 14 wrt y?\nAnswer: 11760*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**4 + 18*c**3 - 24*c**2 - 40*c = 0. Calculate c.\nAnswer: -10, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17969 = -2*p - 0*p + 2*c - 17953, 0 = 5*p - 2*c - 25 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24875 is divided by 12146?\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23.1 - -22. Let s = 1.0999935 + g. What is s rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 238 to the nearest 10.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5397 - 5173 = 32*o. What is the remainder when o is divided by (-1 + -1)*(-24)\/16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -820163, -820172, -820185, -820202, -820223?\nAnswer: -820248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*w - 23*w + 15 = -4*m, -3*m - 3*w = 15 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 3*u**2 - 3*u + 3. Determine i(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.7969279113274 and 4.\nAnswer: 4.7969279113274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -4*g**3 - 24*g**2 + 12*g - 21. Is l(-16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d + 63 = 45 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 407 a factor of 2037498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 80*z + 324. Calculate the remainder when c(0) is divided by 155.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6544.02 - 6507. Which is smaller: j or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 123696306 to the nearest one million.\nAnswer: 124000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 9 (b) -15 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8398.43228641 minus -0.2?\nAnswer: 8398.63228641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 12:55 AM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4105585, 8211169, 12316753, 16422337, 20527921?\n\"Answer: 4105584*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yzzy when four letters picked without replacement from {y: 3, z: 7, l: 1, w: 1}?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(11))**2 + -4 + -1*sqrt(99).\nAnswer: -3*sqrt(11) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -95 - -171. Suppose 4*g - 5*z + z = -c, 3*g = -3*z - 51. Let w = g - -20. Solve -w*f - 12 = f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22366 < -22373?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 5 = -3*y. Suppose -2*s = -y*q + 104, -3*q + s = -0*s - 62. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(32)\/sqrt(72)).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 - m - 3. Let q(t) = 33*t**2 + t + 16. Let p(a) = q(a) + 6*y(a). Calculate p(-2).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 62.8 - 63.5. Let z be (-3)\/5 - (11 - 11). Sort a, z, 0.1, 3 in descending order.\nAnswer: 3, 0.1, z, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -r - 9, 6*r = 4*r - p - 7. Sort r, 5, -1, -17, -8 in descending order.\nAnswer: 5, -1, r, -8, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3*v + 2*v**3 + 2 + 2*v**2 + 2*v**2 - 6 + 1. Let y be g(-2). Determine l, given that l**4 + 449*l**3 - 449*l**y = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/39 + (-2)\/(-13). Suppose b - a = 8, -4*b + 0*b + 5*a + 35 = x. Solve 0*v - 3*v = -12, b*v = -c + 24 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1018\/1757 - -2\/251. Which is the closest to 2\/3? (a) 9 (b) g (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -426 + g**2 + 2*g**2 + 424 + 4*g**3 to the form z*g + x + b*g**3 + v*g**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 54 - 51. Suppose 0 = -j - 2*j - y*j. Let u be -1*(-6)\/(-15) - j. Which is the second smallest value? (a) 0.1 (b) u (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -573, -1166, -1759?\n\"Answer: -593*c + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 486060 to the power of 1\/2, to the nearest integer?\nAnswer: 697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 5536288?\nAnswer: 27681440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 0. Suppose -3*l - p = -40. Let d = -8437 - -8447. What is the smallest common multiple of l and d?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvvv when four letters picked without replacement from vvvlvvvvvlv?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, -2\/5, -3, -19, -0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1651064*w**2 - 3681995*w - 2 wrt w?\nAnswer: -3302128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*l - 37*l + 3 = 2*r, 0 = 5*r + l - 21. Let f be 10\/3*12\/(-70). What is the third biggest value in f, -0.1, r?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -5*c - 2. Let b(x) = 4*x. Let j(l) = l. Let d(q) = -b(q) + 3*j(q). Give -4*d(y) + s(y).\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27 - -3) + (532 - 496).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 AM and 9:11 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i + 2. Let r be x(-2). Let c be r - ((-8)\/(-2) + -2). What is the second derivative of 2*h + 0*h**2 + 0*h**2 + 2*h**c wrt h?\nAnswer: 24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20801441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 92\/2576*(3 - (2 + 0))\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 16 = 5*n, 0*n = 5*n - 4*u + 2. Let r(k) = 4*k**2 - k + 3. Let v(t) = 512*t**2 + 2 - 4 - 511*t**2 + 3. Determine n*r(s) - 6*v(s).\nAnswer: 2*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 7*l - 12 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 171, -251, 0 in increasing order.\nAnswer: -251, 0, 171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 17 = 3*n, -5*a + 5*n + 55 = 10. Suppose a*k - 5 = 0, -f - 5*k - 640 = -6*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -194898*c**2 - 241839?\nAnswer: -389796*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*h*y*z - 220*h*y - 2*h*z + 2*h + 7*z wrt z?\nAnswer: 7*h*y - 2*h + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r = 11*r + 13. Let m(l) be the first derivative of -325*l**3 + r*l + 325*l**3 + 4*l**4 - 10. Differentiate m(i) with respect to i.\nAnswer: 48*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from rrrrrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6448 and 152?\nAnswer: 980096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 + 4*m**3 + 36.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3 - 42422*i**2 + 42416*i + 84840.\nAnswer: 2*(i - 21210)*(i - 2)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 3, 0*v = 3*v - 3*j - 348. Suppose -11*w = -v - 72. Suppose -15*l - 14 = -w*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 64225, 61934, 58117, 52774, 45905, 37510, 27589?\n\"Answer: -763*i**2 - 2*i + 64990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - 0)*-2 - (-7 + 0 + 8). Solve u + 49 = -52*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, v: 1, z: 1, p: 1, n: 1}. What is prob of sequence vu?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111 - 1202?\nAnswer: -2020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128*u - 24*u**3 - 45*u - 14*u**3 + 6*u**3 - 82*u.\nAnswer: -32*u**3 + u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide ((-16)\/(-3))\/(-4)*-9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*g - 4. Let h be -2 - (-10)\/(3 + g). Suppose -2*v + 75 = 3*i - 143, 6 = -h*v. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, c: 4, w: 2}. Give prob of picking 2 w and 2 m.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 368 and 644?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-24)\/(-5))\/((-3)\/(-10)) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4a136 (base 16) to base 2\nAnswer: 1001010000100110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1364?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifty-three fifths of a centimeter?\nAnswer: 106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 + 25*s + 56 + 123 - 2.\nAnswer: 25*s + 205","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 16\/12*3\/2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 + 2*s. Let p(a) = 24*a - 2*a**2 + 1147 - 1147. Let l(q) = 12*f(q) - p(q). Let i(x) = -6*x. What is l(i(m))?\nAnswer: -360*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - 1341467?\nAnswer: -1341470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -24624246?\nAnswer: -24624241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*d + 27*d = 21*d + 104 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1551353 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111100001011 + -1?\nAnswer: 1111100001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-30)\/(-70) + (-38)\/7. Let y be 12*(a - (-25)\/2). Calculate the greatest common divisor of y and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5302061nm to micrometers.\nAnswer: 0.0005302061","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t + 1\/3 - 1\/3*t**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -40*n - 7. Let g(i) = -80*i - 12. What is -3*g(z) + 5*h(z)?\nAnswer: 40*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 103*g**2*h**3*i**2 + 31952*g**2*h**3*i + 43*g**2*h**2*i + 167*g**2*h*i - 2*g*h**2*i + 25*h**2*i**2 + 3*h wrt h?\nAnswer: 618*g**2*i**2 + 191712*g**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000011042 to 7 decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -392 - 3*l**4 + 13*l**2 + 387 + 23*l**2 + 3*l**4 + 210*l**5 wrt l.\nAnswer: 12600*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 12 = 0, -i + 2*h + 1 = -6. Let t = 7 - 7. Let p = -2 - t. Which is smaller: i or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 1:42 PM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 2*k + 12, 4*k - 6 - 10 = -4*p. Let h be ((-6)\/p)\/((-2)\/(8\/3)). Suppose 457 - 135 = h*x. List the prime factors of x.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14216138, -28432257, -42648368, -56864471?\nAnswer: -71080566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 times -26.4?\nAnswer: -1.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -15*y**2. Let c(x) = 10029*x + 16. Give c(q(w)).\nAnswer: -150435*w**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -67, -142, -217, -292, -367?\n\"Answer: -75*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 5*i + 0 + i**2 + 0. Let s be d(-5). Let j = 1 - 1. Is s greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 8.19. Let c = h - -0.09. Is -0.6 bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1399 + -1398. Let h(u) = 7*u**2 - 6*u + 6. Let t(n) = -n**2 + n - 1. Let g be 2*(-5)\/(-2) + 0. What is g*t(d) + k*h(d)?\nAnswer: 2*d**2 - d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -3, -25, 62, 1, -5 in descending order.\nAnswer: 62, 1, 0.3, -3, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -11*k - 1. Let j(l) = -17*l - 2. Suppose -35*n - 546 = -31*n - 578. Determine n*y(d) - 5*j(d).\nAnswer: -3*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 337\/65 equal to -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2626 in 2\/7, 6.5, 0.4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5110 and 1022.\nAnswer: 5110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*o*z**2 + 16399*o*z + 6*z**2 - 469*z - 2 wrt o.\nAnswer: 9*z**2 + 16399*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(13) - 4*(-3 + sqrt(13))) + 4*sqrt(1300))*5)**2.\nAnswer: 22200*sqrt(13) + 448525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 47 - 23 = 0. Determine b so that -3*b**2 + 5*b**2 - v*b + 39*b = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/41514 and -11\/4602?\nAnswer: 31841238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 1612*p + 124119. Calculate f(-77).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 41*o**2 + 1. Let k be (-32)\/6 + 6\/(-9). Let w = k + 7. Let q be d(w). What is the greatest common factor of q and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/6624 and -11\/138?\nAnswer: 6624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30692544 to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 140 - 97. Suppose 145*f - 28 = 141*f. Suppose -d = -q + f. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13636431 to the nearest ten thousand.\nAnswer: -13640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-12)\/(-210)*(-28)\/48\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6785216351 to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1147 + 261. List the prime factors of n.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 - -58 - (0 - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 4 - (-6 + 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k**3 - k. Suppose -5*u - 40 = -4*a, 2*u + 2*a = -a + 7. Let p = -5 - u. Calculate t(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -35*g**2 - 310*g + 53. Give h(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {y: 2, w: 4, l: 4, b: 2, x: 2, d: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17997 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 679 is divided by 608?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5994081?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -123366 - -184709. What are the prime factors of c?\nAnswer: 61343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 - 5*x**5 + x**2)*(15 - 4 + 3) + x**5 + 0*x**5 - 4*x**5.\nAnswer: -73*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 53\/(-3) + 1\/(-3). Let k = 29 - 23. Let g be (1 + -13)*k\/q. Solve g*s - 12 + 0 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52 and 2684.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -421 + 675. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2. Let v(w) be the second derivative of -18*w - 9\/2*w**3 + 0 + 0*w**2. Determine v(f(i)).\nAnswer: -27*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152438880?\nAnswer: 2, 3, 5, 11, 28871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-5) - (-4 + (-126)\/(-30)). Let h(g) = -g - 11. Calculate h(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/y**0)**33*((y*y*(y\/(y*y\/y**(2\/7)*y)*y)\/y)\/y)\/(y**5\/y*y*y*y)*(y**1*y)**(-2\/33)*y**(-1\/4)\/(((y\/(y**1\/y)*y)\/y*y)\/y*y) assuming y is positive.\nAnswer: y**(51665\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*s + 24*s = -44 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/7)*i*i)**(15\/7)\/(i**(-20)\/(i\/i**(-6))))**(-27) assuming i is positive.\nAnswer: i**(-42201\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 532 a factor of 56643250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1322*d + 39008 = 629*d + 688*d + 429*d for d.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(275)*-1 - sqrt(275)) + (sqrt(275)*1)**2 + -4 - ((sqrt(275) - (-1 + sqrt(275)*-3 + sqrt(275))) + sqrt(275) + 5)**2) + -5 + 3.\nAnswer: -4167 - 255*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-53 - 30) + 65 - (0 + 5 + 2)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26704888 to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 1)\/((-2)\/1). Let q be 5\/(-10)*2*1 + 7. Suppose -5*z + q = z. Solve -k + u = -3*u + 16, o = -k - u - z for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4206725 to the power of 1\/3, to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 2:41 AM?\nAnswer: 8:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/36 and 56\/183.\nAnswer: 2196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -349.2, 1203?\nAnswer: -349.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -5*a**2 + 800*a - 6399. Determine c(8).\nAnswer: -319","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2409456?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 5*m - 1 = 0, 19 = -f + 5*m + 38 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = b + 12, -b + 0*b = -g. Let u(n) = 3*n**2 + 4*n + 16. What is the remainder when u(-4) is divided by (g\/(-9))\/((-3)\/(-171))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-12) + 1 + 76234\/107052?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2705 = 36*p - 3857 for p.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13712?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -8\/5, -0.5, -0.4, -0.0162, 1\/18?\nAnswer: -0.0162","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41987586?\nAnswer: 2, 3, 17, 59, 6977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 2, -7 in increasing order.\nAnswer: -7, 2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 + 14*m + 1. Let z be q(-14). Let b(n) = 0*n - 2*n + 140*n**2 - 160*n**2 - z. What is b(-1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 - 6*p + 2. Let v be b(-3). Let w(s) = s**3 - s - s**3 - s**3 + v - 4*s**2 - 13. Give w(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -198.6 - -1278.6. Let m = 1080.0001446 - q. Round m to five dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(152)*3 + sqrt(152))\/sqrt(8).\nAnswer: -5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 45 + 20. List the prime factors of q.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m**4 - 801*m**2 + 1599*m**2 - 804*m**2 - 27*m - 2 in the form k*m**2 + z*m**3 + v*m + f + l*m**4 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 9756410 (base 11) to base 14\nAnswer: 23c71ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 49.6.\nAnswer: 9.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 96267, 96277, 96287, 96297, 96307?\nAnswer: 96317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5468590.17 plus 0.1?\nAnswer: -5468590.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*g - 40*g + 2520 = 0. Calculate the smallest common multiple of g and 84.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1013160, -2026319, -3039478, -4052637?\n\"Answer: -1013159*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of -k**4\/3 - 10*k**3\/3 + 184*k**2. Let j(o) = -4*o - 9. Let b(m) = 9*j(m) - 4*s(m). Determine b(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20111022 - 22?\nAnswer: 20111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 8*x - 1. Let m(t) = -106*t - 1797. What is the least common multiple of m(-17) and a(3)?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 455\/8 - 57. Let f be 1\/(-2) + 7\/14. Is f less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 7*o**2 + 11*o + 3. What is the tens digit of g(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -4*f**2 - 4*f - 4. Let a(h) = -9*h**2 - h - 1. Let t(r) = -r**2 - 1 - 12*r + 0 + 11*r + 2*r**2. Let x(v) = a(v) + 4*t(v). What is -3*i(o) + 2*x(o)?\nAnswer: 2*o**2 + 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - m - 1)*(1514 - 940 - 756)*(-2*m**4 - 5*m**2 + 5*m**2 - m**2).\nAnswer: -364*m**5 - 182*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.2 + -3.7. Which is the closest to 0.1? (a) 5 (b) -0.2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ztzt when four letters picked without replacement from {b: 1, z: 6, t: 7, i: 3}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14675 = 5*w + 5*i - 48625, w - 3*i - 12644 = 0. What is the hundreds digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.23 - 0.13. Let v = 0.793 - 0.993. Which is the closest to j? (a) 1 (b) v (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 185, 203, 247, 329, 461?\nAnswer: 655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1170*i + 1058*i - 560 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33 and 294?\nAnswer: 3234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011 (base 3) in base 13?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*f + 36 = 2*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p + 6. Let z(y) be the third derivative of 1\/6*y**3 + 0*y + 10*y**2 + 0. Let n(u) = -2*a(u) + 4*z(u). Differentiate n(k) with respect to k.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 1 + 3 + (0 - -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 0, -15, -64, -165, -336, -595, -960, -1449?\n\"Answer: -3*m**3 + m**2 + 3*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-168 - 196 + 104)*(-3 + 0 + 1)*(-3*g - g + 5*g)*(-2 + 2 + 2).\nAnswer: 1040*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k - 3. Let l be h(-4). Put 2\/7, -1\/5, l, -2\/17 in decreasing order.\nAnswer: l, 2\/7, -2\/17, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.03826 (b) -5 (c) -0.3 (d) 3.6 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 23*n = -378. Let j = 49 - 37. Let d(w) = w**3 - 10*w**2 - 17*w - 4. What is the remainder when d(j) is divided by n?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -572 = -135*h + 3076 + 2427 for h.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6863.\nAnswer: 6863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9656538.2999989 - 9656539. Let d = -0.7 - w. What is d rounded to seven dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5810 - 5755. Solve -4*n + i = -x + 68, 6 = -2*n for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 7*k + 38. Let v be y(-5). Suppose 7*b + v*p = 3*b + 2, -b + 4 = -p. Solve 3*w = -12, 0 = -0*l - 3*l + b*w + 8 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.524 + -0.076. Let v = s + 9. What is the smallest value in v, -0.8, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x + 3. Let q be y(-6). Let l be 2\/q*(-171)\/(-6). Let c = l - -35. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 3*p = 42, 0 = -10*z + 7*z - 5*p - 46. What is the remainder when (-7 - (-39)\/6)*z is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5}. Give prob of sequence ffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4045312 times -0.2?\nAnswer: -809062.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 670\nAnswer: 3\/670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1021390 is divided by 553?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(260) + sqrt(260))\/sqrt(5))\/(-6*sqrt(100)) - ((sqrt(1573) - ((sqrt(1573) - (sqrt(1573) - (sqrt(1573) + 3 + sqrt(1573)))**2) + 2)) + -4).\nAnswer: -1576 - 661*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 240828?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 83093855387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 - (42 - (-42 + 125)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-3)*(-9)\/(-6). Suppose 5*k = -z*d + 28, k - 5*d + 4 = -3*k. Differentiate 2*r**4 + 1 - 2 - 3*r**k wrt r.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -4*y - 5*u, 11 = 3*y - 3*u + 2. Suppose -17*v + 12*v + 1185 = y. Does 31 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d + 16. Let f be t(-7). Suppose -f*b - 2*o + 92 = -6*o, 4*o + 16 = 0. What are the prime factors of b?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11136676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 7*r. Let j(u) = -36*u**2. Give f(j(d)).\nAnswer: -252*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 - 13*y**2 - 3*y - 26. Determine p(-13).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -530, -1057, -1584, -2111?\nAnswer: -2638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -396300 to the nearest ten thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -2*p**4\/17 - 56*p**3\/17 - 332*p**2\/17 + 840*p\/17 - 450\/17 = 0.\nAnswer: -15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2283 + -2024. Which is greater: g or 250?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of f**8\/20160 + f**7\/1680 - f**6\/720 + 3*f**5\/10 - 4*f**2. Let o(l) be the third derivative of r(l). Give o(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - 14*q**2 + 12*q - 41. Determine w(-15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 47087323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -1. Let q = -0.459389 - 0.040611. Which is the closest to 9? (a) 0.5 (b) t (c) q (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of -i**6\/36 - 19*i**5\/120 - 7*i**4\/12 - i. Let f(o) be the third derivative of j(o). Differentiate f(g) wrt g.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -757*a + 740*a - 187 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -274 - -278. Let t(u) = -249 + 127 + c*u**2 + 135. Let z be -1 + -1*(0 - -7). Let q(a) = -6*a**2 - 20. What is z*t(b) - 5*q(b)?\nAnswer: -2*b**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4124.477 rounded to the nearest 10?\nAnswer: 4120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 5*m + 10. Let c(b) = -2*b - 3. Let y(q) = -10*c(q) - 3*d(q). Let n(s) be the third derivative of -3*s**4\/4 - 6*s**2. Determine y(n(w)).\nAnswer: -90*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 33*k**2 - 487*k + 153. Give n(44).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vnkhn. What is prob of picking 2 n?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6500 - 6324. Calculate the remainder when j is divided by 35.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-21)*6\/14?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z + 4. Let i be p(-5). Let g be 14\/6 + 2\/i. Suppose -a - 8 = -5*a. Sort -5, a, g in descending order.\nAnswer: a, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15951 = 40*i - 8049. What is the greatest common factor of 7400 and i?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 584*b**4 + 15*b**3 + b**2 - 2*b + 88008 wrt b.\nAnswer: 7008*b**2 + 90*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*u - 76314 = -510038. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*p + 4*p + p**2 + (0*p + 4*p - 15*p)*(0*p - 3*p + p) as k*p**2 + z + r*p and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of 2*w**6\/3 + 6*w**2 + 1. Find the second derivative of j(l) wrt l.\nAnswer: 80*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*3910\/60*66\/143 - (-6)\/78\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 596232311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 25728151 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -287 + 283. Suppose 0 = 28*b + 234 + 18. Put y, -3, b, -1 in decreasing order.\nAnswer: -1, -3, y, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 5*b + 5*o, 3*o + 17 = b + 6*o. Let m(r) = 4*r**2 - 5*r - 1. Let k be m(3). Solve 0*d - 3*s - k = -2*d, -3*d - 5*s = b for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -9*b**3 + 27*b**2 - 12*b + 42. Determine s(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 40 (b) 4 (c) 3 (d) -2 (e) -117 (f) -3\/5 (g) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of k**4\/4 + k**3 + 3*k**2\/2 - 3*k + 5397. Give l(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2018871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*a - 5*a**2 - 6*a + a**4 - a - 2*a as h*a**2 + n*a**4 + b*a + m*a**3 + s and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 - (0 + -3 - (-3480)\/14). Let w = j + 250. Put -0.5, w, -4, -1\/4 in increasing order.\nAnswer: -4, -0.5, -1\/4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -3*a - 0*m + 116, 3*a = 4*m + 121. Is 41 less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -10504, -10487, -10470?\n\"Answer: 17*g - 10521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6679560 is divided by 216.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of -5*f**4\/24 + f**2. Calculate the remainder when k(-1) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 27073288 + -3?\nAnswer: 27073285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 265*p**2 + 140*p**5 + 5*p**4 + 5514*p**3 - 18 + 40*p - 2 - 5944*p**3 = 0.\nAnswer: -2, -2\/7, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 r, and 1 j when three letters picked without replacement from {r: 1, n: 2, j: 2, d: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 193664 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 7:26 PM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18246, 18244, 18242?\nAnswer: 18240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -798 + 795. Which is the closest to -1? (a) q (b) 1\/7 (c) 8 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1820)\/(-90) + (170\/45 - 4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 249 and 30?\nAnswer: 2490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/9, 1, -0.144, -0.4, 87\/2, 4, -2?\nAnswer: -0.144","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1225, 4382, 9597, 16870, 26201?\n\"Answer: 1029*p**2 + 70*p + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -8*d + 14. Let z(u) = 15*u - 30. Let q(v) = 7*w(v) + 4*z(v). Give q(10).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/6)\/((-4 - 1)\/20985) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -69 or -135724?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 57.1725331 to one dp.\nAnswer: 57.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.1485 - -0.2?\nAnswer: 38.3485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - -6. Let s = u - 5. What are the prime factors of (-68)\/s*(-6)\/4?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 3 = -5*j - 22, 4*j - 3*m = 7 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -702 (c) -0.2 (d) 4\/3 (e) -13 (f) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 12*n**3 - 5*n**2 - 3*n - 5. Let i(u) = 6*u**3 - 2*u**2 - u - 2. Let s be 1\/((-6)\/(-2988)*6\/3). Let h = s - 247. What is h*v(q) - 5*i(q)?\nAnswer: -6*q**3 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -10. Suppose -m = -3*o + 2*o. Let x(c) = c. Let u be x(2). Calculate the highest common divisor of u and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -63*j + 33*j + 34*j. Let i(k) = -10*k**2 + 1. Determine i(g(w)).\nAnswer: -160*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wtey when four letters picked without replacement from {e: 2, z: 2, y: 4, w: 1, g: 1, t: 2}?\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**4\/7 - 450*q**3\/7 + 26414*q**2\/7 - 42834*q - 326700\/7 = 0. What is q?\nAnswer: -275, -1, 18, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2249641 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**3 + 76*z**2 - 1200*z = 0.\nAnswer: -50, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 10*u - 44 - 62 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y - 24. Let r be v(0). Let z be (11\/6)\/11 + (-140)\/r. Suppose 4*a + 4 = z*a. Solve 0 = -5*w + a*w + 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(-16 + 18) - (-1 + -26).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 27*r**2 - 23*r - 8. Let o(c) = c**3 + 37*c**2 - 3*c - 2529. Let b be o(-35). Calculate w(b).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 + 6*n - 2. What are the prime factors of z(4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -2*o + 232, -3*y + 175 - 33 = 4*o. Suppose 3*j + 2*w = y, 5*w = -j + 4*j - 53. Is 4 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(3\/(-10))*30\/(-25). Let s(b) = -b**2 + 9*b - 2. Let h(g) = g**2 - 8*g + 1. Let l(k) = -7*h(k) - 6*s(k). What is l(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1806803 is divided by 247?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -32*j**2. Let i(p) = -6*p. Calculate w(i(f)).\nAnswer: -1152*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2759?\nAnswer: 31, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -x - 24*x + 29 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*f**3 + 3*f**3 - f**3)*(14824*f + 4*f**2 - 4 - 14822*f - 2).\nAnswer: -20*f**5 - 10*f**4 + 30*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of -y**10\/560 - y**6\/45 + 5*y**3\/3 - 9*y**2. Let d(i) be the first derivative of f(i). Find the third derivative of d(m) wrt m.\nAnswer: -1080*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 33765?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -476952925 = 62*t + 111675075. What is t rounded to the nearest one hundred thousand?\nAnswer: -9500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 24*x - 22*x. Let v be ((6\/(-10))\/(2\/(-15)))\/x. Let w = -2 - 1. Which is greater: v or w?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6733878847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, -1, -22\/111, -4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2*(1*-1*(-1 + sqrt(147)))**2 + -1)*-5.\nAnswer: -4455 + 420*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 15 - (31 + -34)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*v - 16925 = -266567. Round v to the nearest one hundred.\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1259.5 - 1796. Let j = r - -537. Let i be 1*-4 + (-1 - 0). What is the second biggest value in i, j, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 0 - ((1 - 17) + 6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 5*f - 13324, -5394 = -2*z + 11*f + 3417. What are the prime factors of z?\nAnswer: 11, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -166*m - 102. What are the prime factors of s(-4)?\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-940)\/141)\/(((-175)\/(-42))\/5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15.6 + 16. Let r = 5 + -9. Which is the third biggest value? (a) z (b) r (c) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15248 + 1912*j - 15248 as k*j + o and give k.\nAnswer: 1912","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (107\/(1509235\/(-140)))\/(2\/(-13)).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 628*p - 141*p - 167*p - 114*p - 148*p - 12*p**2 to b*p + r*p**2 + v and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 8.32. Let v = -0.52 - x. Put v, -4, -2\/21, 0.4 in decreasing order.\nAnswer: 0.4, -2\/21, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*a - 2*a. Let j(g) be the third derivative of 7*g**4\/24 - 4*g**3\/3 - 2*g**2. Let n be j(4). Solve a*x - n = -x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 722687 and 238?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(8) + 4*sqrt(800))\/(6*sqrt(16)\/sqrt(4)).\nAnswer: 4 + 41*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 648258111 is divided by 9424.\nAnswer: 9423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -35646211*q**5 - 9119407*q.\nAnswer: -712924220*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f - 8. Suppose -20*c = -c - 95. What is i(c)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 3:10 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10868.\nAnswer: 2, 11, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.1 + 6. Is t less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/7)\/v*v\/v**8*v)\/(v*(v*v**(2\/5))\/v*v*v**(3\/5)) assuming v is positive.\nAnswer: v**(-68\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*i + 5*i - 7*i to f + n*i and give n.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3709*i**2 - 14*i + 22. Let j(w) = 2471*w**2 - 9*w + 14. Determine 5*a(z) - 8*j(z).\nAnswer: -1223*z**2 + 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4685\/34034 + 2\/1547. Let j = v + -17\/198. Sort 3, j, -0.3 in increasing order.\nAnswer: -0.3, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -385988, -385859, -385730?\nAnswer: -385601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -10, -5, 2, 11, 22?\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 96*o**2 - 189*o + 96. Let q be h(94). Solve -3 = w, -4*z = 25*w - 23*w + q for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -2\/9, -0.1, -5, 2\/5, 23 in decreasing order.\nAnswer: 23, 2\/3, 2\/5, -0.1, -2\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + -8 + 0\/(-2). Let r(i) = i**2 + i - 4. Let k be r(-3). Let c(n) = -n + 1. Let v(x) = -x**2 - 7*x - 2. Let d(a) = k*c(a) - v(a). Give d(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1426 and 496.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of y**6\/75 - 3*y**5\/50 + 4*y**3\/15 - 6*y. Determine c so that v(c) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 121\/8, -2\/127, -4\/13?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -19. Let i = -13 + k. Let a = i + 7. Calculate the smallest common multiple of 4 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1\/9703 - -300678\/1115845. Let d = i + 3\/23. Let b = -5.701 + -0.299. What is the closest to 0 in d, -5\/4, b?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*n**4 + 14*n**3 - 13*n**3 + 5*n**2 + 2*n**2 - 4*n**2 in the form b*n**4 + q*n**2 + k*n**3 + h*n + m and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/871566 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18017.78 weeks to hours.\nAnswer: 3026987.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*o = 25*o - 8. Sort -40, -4, o, 5 in descending order.\nAnswer: 5, o, -4, -40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 6*c**2 - 3*c - 12. Suppose -2 - 52 = 9*f. Let d be a(f). Let t(z) = z**2 - 6*z + 3. Let n be t(d). Solve n*r = -0*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -28\/133130825 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 6:03 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -142433 (base 5) to base 16.\nAnswer: -1769","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -256, -7, 0, 2 in increasing order.\nAnswer: -256, -7, 0, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g*g\/g**(-3)))\/g)\/(g**(-2\/3)\/g))\/(g**(1\/3)\/(g*g**(-1\/11)*g)) assuming g is positive.\nAnswer: g**(-58\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2729*l + 1849?\nAnswer: 2729","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -7*y + 8. Let r(j) = 6*j - 7. Let x(f) = -5*o(f) - 6*r(f). Let h(c) = 7*c - 13. Determine -6*h(t) - 39*x(t).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -4. Let w(r) = -5*r**2 - 5*r + 3. Let o(b) = -26*b**2 - 26*b + 16. Let j(i) = c*o(i) + 16*w(i). Factor j(v).\nAnswer: -2*v*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (96\/60)\/(4\/(-10)). What are the prime factors of 117\/(-2)*(-2)\/u*-4?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 i when two letters picked without replacement from iwiiiiiwiiiiiwii.\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 786 + -c?\nAnswer: 777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 280421?\nAnswer: 19, 14759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 + (3\/3 - -1))*(-205 + 203).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/102346051 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 8*d + 79525*g - 6 = 79523*g, 3*d = 4*g + 22 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 + -0.47. Let f = o + 0.07. Which is the nearest to -1? (a) 0.3 (b) f (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3\/4, 4, 1\/18, -3, 1\/3 in decreasing order.\nAnswer: 4, 3\/4, 1\/3, 1\/18, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165*c + 42 = -162*c. What is the remainder when 33 is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 + t + 1. Let a(h) = -5*h**2 - 10*h - 3. Let k(u) = -a(u) - 4*g(u). Is k(5) a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -3*i**3 + 9*i**2 - 6*i + 4. Let j(u) = -3*u + 23. Let l be j(10). Let v be a(l). Suppose -7*q = -3*q - v. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 787710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*g = 3*k + 20, -10 = -5*k + 2*g. Suppose k = z + 5 - 16. Suppose 0 = -0*f + f - z. What are the prime factors of f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a - 25 + 4 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -9*-1*1\/1. Let q(a) = 4*a**2 - 3 + 1 + 1 - y*a. Let x = 8 - 1. Let f(m) = -6*m**2 + 13*m + 1. Give x*q(z) + 5*f(z).\nAnswer: -2*z**2 + 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 13167 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) -0.4 (c) -36 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of 67*y**3\/6 + 19*y**2\/2 - 4*y + 36. Let s be k(3). Calculate the highest common divisor of 88 and s.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 62*i - 42*i - 20800. Suppose -34*d + 24*d = -i. What is the greatest common factor of d and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -4*s**5\/7 - 400*s**4\/7 - 8272*s**3\/7 + 37592*s**2\/7 - 6964*s + 19832\/7 = 0.\nAnswer: -67, -37, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 180*i - 552. Give z(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -572583 or -572582?\nAnswer: -572582","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**2 + 49*m - 148. Calculate d(21).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21 in 1, 3, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -7939, -8154, -8669, -9634, -11199, -13514, -16729?\n\"Answer: -25*l**3 - 40*l - 7874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 26\/(25\/90*(-15)\/(-50)). Calculate the greatest common divisor of r and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -142 + 146. Suppose -h*z = 3*t - 101 + 5, 4*z = 3*t + 72. Is 6 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39677682 by -94.\nAnswer: -422103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 137450 to the power of 1\/2, to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*i**3*v**3 - 212*i**3*v**2 + 214*i**3 - 2*i**2 wrt v?\nAnswer: 6*i**3*v**2 - 424*i**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 356.386 - 396.8. Round f to the nearest integer.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -23*m + 28*m. Suppose -m*c - 1485 = -17*c. Let k be 33\/(-1)*3\/(-9). Calculate the greatest common factor of c and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -710*f**4 + 712*f**4 + f + 1481*f**3 - f - f to the form n*f**2 + y*f**3 + r + s*f**4 + z*f and give y.\nAnswer: 1481","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 546176305.\nAnswer: 5, 109235261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -3*z + 4, 2*z - 4*z = 2*t - 12. Solve -t = -q - c + 2, 0 = -5*q + 3*c + 12 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70830437?\nAnswer: 70830437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 + -28. Solve 0 = o*z + 3*z - 10 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -11\/6 (c) -0.066 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.88 + 0.12. Let r = -0.26 - 0.04. What is the nearest to h in r, 0.5, -0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3+11996\nAnswer: 11993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 80\/(-182) + 2\/7. Put 3, z, -1\/3 in descending order.\nAnswer: 3, z, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 234, 463, 692, 921?\n\"Answer: 229*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -3*n**3 - 110*n**2 + 31*n + 58. Calculate s(-37).\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/14*122388\/(-113646)?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -63 - -72. What is the highest common factor of f and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.02 + -0.18. Which is the fourth smallest value? (a) 0 (b) 5\/3 (c) q (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 + -2 + 21 - (-5 - (-6 + 1))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, e: 3, m: 1, q: 3}. What is prob of picking 3 q?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 145*t**2 - 2402*t - 39. Give d(-15).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3001 - 2225. Calculate the remainder when s is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.47 - -148.47. Let y = -146.5 + r. What is the closest to -1 in y, 6, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 40058270 + -41.\nAnswer: 40058229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 2*k + 11514, j + k + 1131 = 12639. List the prime factors of j.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*d**2 - 69*d**2 + 25*d**2 + 23*d**2 - 1237 + 1235.\nAnswer: d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51970?\nAnswer: 2, 5, 5197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 383055107.\nAnswer: 383055107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xrxk when four letters picked without replacement from xkrrxxrkxrx?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 r when two letters picked without replacement from rrrkrkkrrkkrr?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of 0*o - 51 - 313\/2*o**2. Let s(j) = -j. Give b(s(y)).\nAnswer: 313*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000861967 rounded to 5 dps?\nAnswer: 0.00086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11752 and 89948?\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01001 times -37?\nAnswer: -0.37037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 2*c**2 + 2*c + 1. Let f be r(-1). Let v(z) = 15*z**3 + 4*z**2 - 2*z - 1. Is v(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -0*r - 3*r. Let c be ((-8)\/12)\/((-1)\/12). Is 17 a factor of (2 - 5)\/(r\/c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of -j**3\/6 - j**2 + 8*j - 6. Let t(h) be the first derivative of v(h). What is t(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-4)\/o**(-1\/3))\/(o*o**1)**(3\/20) assuming o is positive.\nAnswer: o**(-119\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -723137 (base 8) in base 5?\nAnswer: -30123244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -49 + -15. Suppose i - 4*m = 58 - 160, -i - 5*m - 129 = 0. Let q = l - i. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f - 4. Let q(k) = 281*k - 430. Let j(p) = -4*d(p) + q(p). What is the thousands digit of j(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*x - 28 = -78*x. Suppose -8*a - 5 = -x*a. Let p(b) = 4*b - 5. Let t(r) = 5*r - 6. Let s(j) = a*t(j) + 6*p(j). Let i(g) = -8*g**2. Determine i(s(q)).\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -24 - 4 + 5*g + 2. Calculate the remainder when c(10) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 17. Let o be 2\/(-4) + 57\/260. Let u = 2\/65 + o. What is the closest to 1\/5 in 0, u, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 119 and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*r**3 + 28*r**2 - 638 + 4*r**2 + 638 - 40*r**3.\nAnswer: -3*r**3 + 32*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -r + 126. Let s(g) = 134*g**3 + 7*g**2 - 6. Let f be s(1). What is the greatest common factor of f and r?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o**2 - 3*o - 5. Suppose -2*u - 1 - 1 = 2*f, f + 4*u + 16 = 0. Let v(p) = 4*p**2 + 6*p + 11. Give f*v(j) + 9*c(j).\nAnswer: -2*j**2 - 3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 3*d**3 + 54*d**2 + 99*d + 44. Let q(l) = l**3 + 2*l**2 + l - 2. Let x(z) = a(z) - 2*q(z). Factor x(k).\nAnswer: (k + 1)**2*(k + 48)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/77 in 1, -0.06, -6?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-26)\/1209*2)\/((-8)\/34*(-272)\/96).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 3, 5 in descending order.\nAnswer: 5, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5633200471 to the power of 1\/2, to the nearest integer?\nAnswer: 75055","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58135?\nAnswer: 5, 7, 11, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/491? (a) 0.4 (b) 1\/3 (c) -22 (d) -28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1309 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in -0.7, 2, -1?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -69.5746 to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 181789494?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 703068?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -36*z**3 + 40*z - 40*z. Let j be s(-1). Calculate the greatest common divisor of j and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 776950 is divided by 14659.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1982913 is divided by 466?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 312 and 31104.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in 4\/5, -1\/5, 4, 1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 a, 1 t, and 1 p when four letters picked without replacement from taahkhaatptajak.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 0 + k**3 - 7 + 14 + 10*k**2 - 8 - k. What is the remainder when i(-10) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 2. Let o(v) = -v**3 - 6*v**2 - 5*v + 2. Let n be o(-5). Suppose 1 = 3*d - n. Which is the closest to -1\/3? (a) 3 (b) d (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 102, 26385\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n + 2*n**2 + 4*n + n**2 - 2*n**2 + 3*n**2 + (-5*n**2 + 4*n**2 + 2*n**2)*(2 + 0 + 0) - 2*n**2 + n**2 + 2*n**2 + (-n - 2*n + 0*n)*(-2*n - 4*n + 2*n).\nAnswer: 19*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-58)\/(-18) + (-2)\/9 - 1. What is the greatest common divisor of 3 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a - 3*a + a. Let i be m(-4). Suppose -4*d + 22 = -2*w - 30, -i = 4*w. Does 11 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 461.01 - 83.\nAnswer: 378.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 195.0594 - 195. What is n rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 17\/(-3)*(10 + -22). Suppose 2*q + 2*q - l = 0. Let x = 57 - q. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 + k + 4. Suppose 5*f + 20 = -5. Let v = -5 - f. Let h be i(v). Solve -4*u = 3*p, -3*u + p - 1 = -h*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1836 = 8463*j - 8531*j for j.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2847 (base 14) in base 5?\nAnswer: -211434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/2190246 and 37\/153.\nAnswer: 6570738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5292 - 5292 + 9*i - 2*i + 29*i.\nAnswer: 36*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -l**4\/8 + 19*l**3\/8 + 1857*l**2\/8 + 27701*l\/8 + 14573 = 0.\nAnswer: -19, -13, -8, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -289, -587, -889, -1195?\nAnswer: -1505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.859606 days to hours.\nAnswer: 44.630544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -179, -189, -199, -209?\n\"Answer: -10*o - 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/72 and (-17)\/340*-16 + 1822\/(-540).\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = 3*v + 25 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 5*c - 13. Let i(d) = -d + 1. Determine -6*i(b) - y(b).\nAnswer: b + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -11*w**3 + 13*w**2 - 13*w - 17. Let k be (-1350)\/(-200)*(-16)\/(-18). Let v(m) = 5*m**3 - 6*m**2 + 6*m + 8. Calculate k*d(i) + 13*v(i).\nAnswer: -i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - -21723?\nAnswer: 21728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + (36 - 17) - 31.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -17*v + 3. Let u(q) = -11*q - 1422 - 4*q + 1424. Let r(a) = 3*u(a) - 2*w(a). Let k(d) = 10*d. Give k(r(z)).\nAnswer: -110*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of g**6\/120 - g**5\/10 + g**4\/24 - 5*g**3\/6 + 29*g**2. What is r(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.035 - -416.88.\nAnswer: 416.915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 + -28.1. Let g(o) = -55*o - 385. Let n be g(-7). What is the closest to n in b, 2, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-602)\/21)\/(((-860)\/(-516))\/(15\/6))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and 8486841240697.\nAnswer: 8486841240702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6128421)\/(-124))\/(-411))\/(13\/(-8)).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = -13*q - 2 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, 11, -5 in increasing order.\nAnswer: -27, -5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-261)\/24 - (4 + 6 + -21).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - 1)\/(3\/(-4)). Suppose 30 + 34 = x*w. Let z(b) = b**2 - 3. What is the least common multiple of w and z(3)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 400*o - 68193323 - 22319453 = -15269976. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -62*z + 465.\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -2*v + 26. Let r(y) = y**2 - 5*y - 5. Suppose u + 2 + 6 = p, -3*p + 2*u = -23. Let n be r(p). Calculate the highest common factor of n and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2333, 2320, 2297, 2258, 2197, 2108?\n\"Answer: -p**3 + p**2 - 9*p + 2342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 779 less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-5*sqrt(1440)*1)\/((sqrt(20) + (sqrt(240) + sqrt(240)*2 + sqrt(240))\/sqrt(12) - sqrt(20))\/sqrt(10)).\nAnswer: -15*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30.3 - -30.2. Which is the closest to k? (a) -68 (b) 4 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r**(-4)*r))**3)**(-23))**24 assuming r is positive.\nAnswer: r**(-6624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -28*y. Let w = 611 - 609. Let x(n) = -252*n + 490*n + w - 2. Determine -5*x(l) - 42*z(l).\nAnswer: -14*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/18*2*-6. Suppose -t + 12 = g*t. Suppose 0 = t*k - 2 - 2. Solve 0 = -3*f + k + 11 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.16 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from xxvxxeeekkk.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2746 in -0.2, 16, 1, -4, 0.6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - 3*f - 3. Let r(w) = -w**2 + 7*w - 5. Suppose 7*x - 6*x = 2. Suppose 0 = -x*c - 4, 5*g + 3*c = -c + 17. Let m be r(g). Determine y(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = -g - 2*p + 2, 177*p = 180*p - 6 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1198 + 1169. Let d(u) = 32*u + 3. Let n(m) = 319*m + 29. Determine z*d(y) + 3*n(y).\nAnswer: 29*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 - 185 = 3*v. Is (-2)\/((-86)\/v - 2) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a kilogram in grams?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 56\/26 + 0 + (-22)\/143. Suppose b*h - 6*y + 3*y = 587, 15 = -3*y. Is 52 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -5*q - 48. Give r(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 + 3*s + 58. Let o(p) = -p - 15. Let z(y) = -4*k(y) - 15*o(y). Calculate z(3).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -19 + 1. Let y(b) = b**2 - 8*b - 11. What are the prime factors of y(p)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22570169?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2 = -3*g + 6*g, -2*g = -5*l - 10. Let t be (11 - 1)*-13*22\/(-715). Solve -d + t - 2 = g for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2639658 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39437.\nAnswer: 113, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 7847 divided by 413\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -2*t - 406 + 410, -4*v = t - 12. Which is the nearest to -0.01? (a) 3 (b) t (c) -0.1 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 47 in 2, -2\/9, -0.1, -12?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000000753 rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 3*c = 10, 3365*u - 84 = 3369*u - 10*c for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190167?\nAnswer: 3, 63389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 378648221 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 45486948 and 130.\nAnswer: 227434740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -29 - 2*j - 3 + 3*j as l + i*j and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3*j**3 + j**2. Let r be f(-1). Suppose 0 = -r*v - 2*a + 3*a + 9985, -v - 4*a = -2475. Let t = v - 27427\/11. Find the common denominator of 48 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f + 5, -3*d - 35 + 21 = -5*f for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*q + 8 = 32*q. Suppose -4*m - 68 = -y, 77 = -5*y - q*m + 417. Is 16 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46 and 4914134?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*t**2 - 4*t**2 + 0*t**2 + (2 + 1 + 0 + 2*t)*(-2*t + 3*t - 4*t)*(10 + 5 - 4) in the form z*t + l + s*t**2 and give s.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -20 (b) -2 (c) 5 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1002515414 (base 6) to base 10\nAnswer: 10212418","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 658 and 238?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a centimeter in millimeters?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 685?\nAnswer: 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 225 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -18, 5 in descending order.\nAnswer: 5, -9, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(1\/5)*u*u*u**(-6)*u)\/(u\/(u*u*((u*u*u**(2\/3))\/u*u)\/u*u))**(-2\/5) assuming u is positive.\nAnswer: u**(-49\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -4*m**2. Let o(k) = -30272*k**2 - 2*k. Determine o(j(l)).\nAnswer: -484352*l**4 + 8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1084532913.89928 + -1084747379. Let v = -214473 - j. Let a = 7.9 + v. Round a to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5*(-16)\/100)\/(4\/(-310)). Let o = r - 56. Solve -3*y - 35 = -5*d, o = 4*d + y + y for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*m**3 + 6*m**3 - 3*m**3)*(6 - 234*m - 9 + 3).\nAnswer: -3276*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41870 and 4770?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -6, 207, 1 in decreasing order.\nAnswer: 207, 5, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z\/z**(7\/8)*z*z*z\/(z\/(z\/(z*z\/z**(1\/19)*z*z*z*z)))*((z*z\/(z*z\/z**4*z))\/z)**(-9) assuming z is positive.\nAnswer: z**(-3013\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-1 + -11) - (-1 + 9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 34658*f - 344. Let w(i) = -608*i + 6. Determine 3*o(n) + 172*w(n).\nAnswer: -602*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20787 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 7*b**2 + 3*b - 2*b**2 - 3 + b**2. Let i = 33 + -37. Let y(c) = 7*c**2 + 4*c - 4. Calculate i*p(r) + 3*y(r).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 339 - 184. What are the prime factors of k?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 + f + 49. What is l(0)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 + 24 - (-9 + 0 + 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = 6*t + 3*k - 34, 4*t - 5*k = 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32 + 41. Let y be 7 - l - (-248)\/250*2. Let t = y - -131\/375. Which is the closest to t? (a) -0.4 (b) 5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -232913524 divided by -230836.\nAnswer: 1009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 34*t**2 - 88*t - 58. What is the thousands digit of r(46)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -5*z + 1. Let i be b(-1). Let t be 27 - (6\/(-2))\/1. Calculate the highest common divisor of i and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 5. Let u(q) = q. Let b be u(v). Solve 0 + b = -4*g + 5*a, -4 = g - 4*a for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 16\/5 (b) -3164 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 752978419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54, 45, 30, 9, -18, -51, -90?\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 259 - 1214*p - 231 - 1197*p + 2374*p.\nAnswer: -37*p + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1638 - -1636.599. What is w rounded to zero dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37648290?\nAnswer: 2, 3, 5, 73, 17191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 245.9 + -148.8. Let s = 89.99 + 1.01. Let j = s - m. Round j to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -150, -297, -442, -585, -726?\n\"Answer: a**2 - 150*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-8 + (1 - (5 + -5 + -7)))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**5\/4 - 2787*k**4 - 270650*k**3 + 1657349*k**2\/2 - 3336999*k\/4 + 558025\/2 = 0 for k.\nAnswer: -11050, -101, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n**2 + 2*n. Let g(m) = m. Let t(o) = -2*g(o) + y(o). Let b(r) = 50*r. What is b(t(q))?\nAnswer: -100*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 1 - 21 = 0. Find the second derivative of j - 3*j**z + 0*j**5 - 2*j**5 - 5*j wrt j.\nAnswer: -100*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2. Suppose -2*z + 39 = -11. Let d(a) = -5*a**2 + z*a**2 - 3*a**2. Determine s(d(n)).\nAnswer: 289*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -76.554 to one dp.\nAnswer: -76.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 3 z when four letters picked without replacement from {g: 2, z: 6}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - w**3 + 3*w**2 + 2*w**2 - 4*w + 2*w to the form y*w**2 + b*w**3 + m*w + z and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 672 and 80080.98.\nAnswer: 80752.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in 0, 0.3, -0.3, 1\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/388926 and -53\/153?\nAnswer: 388926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 8766856 and 0.6.\nAnswer: 8766856.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -16, -34, -66, -112?\n\"Answer: -7*l**2 + 3*l - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 131561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wxdd when four letters picked without replacement from {d: 3, n: 2, w: 2, x: 2}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 399*d + 15. Let b(r) = 135*r - 20. Give b(h(m)).\nAnswer: 53865*m + 2005","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, m: 3, t: 3, j: 2, n: 3, w: 2}. What is prob of picking 1 w, 2 j, and 1 m?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 7*j**2 + 7*j - 4. Let o be a(6). Find the second derivative of -3*c + 3*c**3 - o*c**3 + 2*c wrt c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.87096 and 180.6?\nAnswer: 177.72904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 694150 and 4581390?\nAnswer: 22906950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -4. Let x = r - 10.7. Round x to zero decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2057, 4148, 6299, 8540, 10901?\n\"Answer: 5*m**3 + 2056*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of -w**9\/504 + w**5\/15 - w**2 - 3*w. Let c(l) be the first derivative of v(l). What is the third derivative of c(d) wrt d?\nAnswer: -120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -334212*l + 98058*l - 367041*l + 83531*l.\nAnswer: -519664*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1784 + 6*m**2 + 1784.\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -326, 2\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**3\/11 - 49792*b**2\/11 - 5350018*b\/11 - 1418352 = 0. Calculate b.\nAnswer: -104, -3, 25003","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -2*k**4\/7 - 3338*k**3\/7 - 198730*k**2 + 1394450*k\/7 = 0?\nAnswer: -835, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -6 (c) -300627\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2 - 6 = -3*r, -5*r = 3*s - 26. Suppose 5*w = 5*j, s*j - 6 = -0*j + 5*w. Which is the third biggest value? (a) 2\/13 (b) 4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17163*y - 17326*y - 541 - 12499 = 0. Let q = 18 + -100. Which is smaller: q or y?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 + 106 = 8*z. What is the greatest common divisor of z and 4536?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by -44.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 102?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 4*g = 2*z - 8, 0 = -3*g + 4*z - 16 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 20*(-1)\/5*-2. Let j be (-20)\/p*4\/(-5). Suppose -32 = -4*h + j*h. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 + 2 - (87 + -160 - -96)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7799*n + 7853*n + 702 = 0. Find the common denominator of 17\/84 and n.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53994222001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, d: 3, z: 2, l: 1, h: 1}. What is prob of sequence dy?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1191 = -17*o + 2*o + 1161 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.54 plus 18036?\nAnswer: 18041.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2030513557 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000203554 rounded to 6 decimal places?\nAnswer: -0.000204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -82.761206 to the nearest integer.\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7407*r**2 - 225*r**2 + 7513*r - 11678*r wrt r?\nAnswer: -15264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 81\/2 of a micrometer?\nAnswer: 40500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -86971798*r + 86971798*r + 8 + 110*r**2 as t + k*r**2 + h*r and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of -1\/6*x**4 + 0*x**3 + 0 - 7*x**2 + 0*x + 0*x**5 + 1\/120*x**6. Find o such that k(o) = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1422)\/27)\/((-2)\/3). Let f(n) = -2*n**2 + 3*n + 3. Let j be f(4). Let g = p + j. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 7*h**2 - 34*h + 122. Give p(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*w**2 + 2 + 5*w + 0 - 5 + 1 + 51*w**2.\nAnswer: 29*w**2 + 5*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x = 4*x + 15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6880 divided by 4?\nAnswer: -1720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224*z - 222*z - 18 = -4*g, 12 = 2*z + 14*g - 12*g for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*v**2 + 28*v**2 - v**3 - 18*v**2.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5039 + 5045. Suppose 12 = 2*z - 44. Let s be 9\/7 - 8\/z. Put k, -1, s in decreasing order.\nAnswer: k, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or 1\/29?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -9*b**2 + 11*b. Let k(s) = -14*s**2 + 17*s. Determine 8*a(h) - 5*k(h).\nAnswer: -2*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -98*3\/(-144) - 0 and -95\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -1\/2*o**2 - 9*o + 1\/3*o**4 - 1\/20*o**5 + 0 + 1\/6*o**3. Let n be m(4). What is the nearest to 0.1 in n, -1\/5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10111 * 30\nAnswer: 303330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of -2365*q**4\/4 + 8879*q**3\/6 - 641*q**2 - 7. What is the derivative of c(b) wrt b?\nAnswer: -14190","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181440 + 26481 = 21*t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -13*l**3 - 97*l**2 - 71*l - 395. Give c(-9).\nAnswer: 1864","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*n*w**4 + 335*n*w + n + 79*w**4 + w + 2 wrt w.\nAnswer: 144*n*w**2 + 948*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38 + 4. Let c = 41.999 - w. Round c to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4738 divided by 202\nAnswer: -2369\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 779417112 a multiple of 446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 122*c**2 - 6413*c - 2. Let s(x) = -x**2. Give y(s(r)).\nAnswer: 122*r**4 + 6413*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2322570, -2322568, -2322566?\n\"Answer: 2*p - 2322572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22637.\nAnswer: 22637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 + 6*u - 3. Let c be f(-5). Let h(r) = -5*r - 10. Let a be h(c). Suppose -4*b + 34 = -a. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24 - 5) + -13 - (9 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 262 - 241. Calculate the greatest common divisor of i and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) 0 (c) -93 (d) 5506 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 125499643 and 662.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 210 + -212.14. Let z = 2.1 + s. Which is the third smallest value? (a) -0.2 (b) -2\/5 (c) z (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 32 + 110*z**3 + z**2 - 14.\nAnswer: 110*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r. Let f(a) = -a**2 + 8*a - 7. Let s be f(7). Let k be d(s). Suppose k*g - 60 = -3*g. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -1 + 2 - 29*n**2 + n - 2*n + 47*n**2 - 19*n**2. Let i(s) = 28*s**2 - 16*s + 16. Calculate -16*g(d) + i(d).\nAnswer: 44*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 10 = 2*t + 5*d, 4 = 2*d. Let l = -6 - -18. What is the least common multiple of (3\/2*10)\/((-15)\/t) and l?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3*u. Let y(c) = 0*c + 2 - 14*c + 4*c - 5*c. What is y(a(d))?\nAnswer: -45*d + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 6.5 (b) -4 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2 - 21152222*s + 126913404.\nAnswer: -2*(s - 6)*(s + 10576117)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/10)\/((-12)\/18*(-9)\/4).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -4. Suppose 12 = 3*c + 3. Which is smaller: r or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1495564 and 1228499.\nAnswer: 34397972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 241 + -2302?\nAnswer: -2021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 7*d**2 - d + 7. Let o be r(7). Is 0.1 smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15924637 at least as big as 15924636?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (4 + -4 - (-10 + 4) - 3).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37 - -20. Let c = -12 - y. Suppose 8*p = -4*q + 4*p + 44, c*q = -4*p + 57. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44)\/(-11)*18\/9?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13.6 + -15.6. Which is the second smallest value? (a) -1 (b) 0.4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 385 is divided by 132.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 3:19 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/5)\/((15\/(-6))\/(-5)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/sqrt(3)*-3)\/(sqrt(12) - (-2*sqrt(192) - sqrt(192))).\nAnswer: -3*sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**2 - 5*t**2 - 5*t**2)*(-9 + 164*t - 164*t - t**2).\nAnswer: 7*t**4 + 63*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 + 3*x - 2. Let m be n(1). Let t = -1 + 2.1. Let a = t - 1. What is the third biggest value in 1\/3, m, a?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -4*k**3 - k**2 + 14*k + 13. Let s(n) = -n**3 - n**2. Let j(h) = -l(h) + 3*s(h). Is j(7) a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 128115 by -219.\nAnswer: -585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*l + 16201 + 3947 = 0. Is 11 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 881 or 885?\nAnswer: 885","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26855, -53708, -80561, -107414, -134267?\nAnswer: -161120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 14 - 17 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of -2*j**3 - j**2 + 2. Let m(k) = k**2. Suppose -n = 1, 2 = -4*i - 2*n + 4. What is i*a(x) + 4*m(x)?\nAnswer: -2*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 + 26. Let s = -8 + v. Which is the closest to s? (a) 3 (b) -0.3 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 137 + -77. Does 12 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -77135, 2, -3, 4, -4 in increasing order.\nAnswer: -77135, -4, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9.1 - 77.1. Let t = r - -70.9. Let g = -3 + t. Which is smaller: -0.4 or g?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36902657 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 556593*s**2 - 808568*s wrt s?\nAnswer: 1113186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*a**5 - 28*a**4 + 8*a**3 + 24*a**2 - 20*a + 4.\nAnswer: 4*(a - 1)**3*(a + 1)*(3*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 148, 135, 106, 55, -24?\n\"Answer: -k**3 - 2*k**2 + 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5275, -5278, -5283, -5290?\nAnswer: -5299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - (8 + -35)) + (2 - (-1 - -11))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 9:27 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*f + 17 - 5 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -2472?\nAnswer: -2469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-6))\/(6*2\/18).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 276 + 417 = 0. Let p(w) = -w + 224 - v + 2*w. Let n(k) = k - 3 - 5 + 0*k. Give -6*n(b) + 7*p(b).\nAnswer: b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -91 - -93. Let c(n) = -3*n**2 - 3*n**3 + 3*n**2 + 5*n**3 - 3 + 4*n**i. Determine c(-3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28227063 is divided by 92.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.18 + 0.5. Let a = k + -0.02. Let s = -1293\/5 - -259. What is the fourth biggest value in 5, s, a, 1\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-45)\/(-20) - (-3)\/4. Suppose -5*g - 4*i + 32 = 0, 2*g + c*i = 6 + 4. Calculate the lowest common multiple of g and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134342.55 take away -3?\nAnswer: 134345.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2 + 51. Suppose -2*m + q + 13 = 0. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3359067\/13 + -258205. Which is smaller: 185 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -9*v - 14. Let u(s) = 5*s + 7. Calculate -5*u(z) - 3*w(z).\nAnswer: 2*z + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 110.141 in 2\/7, 7, 3, -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 52 - -1 - (-160 - (-416 - -221))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 604716 and 322.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.850677 millilitres to litres.\nAnswer: 0.000850677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -99, -93, -95, -105, -123, -149, -183?\nAnswer: -225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1170?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1960, 7674, 17196, 30526?\n\"Answer: 1904*p**2 + 2*p + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -98.1 - -93.1. Which is the second smallest value? (a) 40 (b) p (c) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 2*y**5 - 2*y**4 - 18*y**3 - 22*y**2 - 8*y = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 14) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -3\/8, -0.1, 185?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -100*x**3\/3 - 4394. Let l(h) = 7*h**2 - h. Calculate l(q(g)).\nAnswer: 70000*g**4 + 100*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1142\/(-5710) - (0 + (-32)\/85)?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (70\/(-20))\/((-3)\/1218). Let i = f - 15633\/11. Let l be -1 + 0 + 1 - -2. Which is the third smallest value? (a) i (b) 3\/7 (c) l (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -222 - -221.99695. Round b to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 229043 and 10215?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 + -9. Suppose k - 5*j = -6 - 5, -2*k = -2*j - 2. Suppose -4*x + 2*s = -6 - 16, k*x - 5*s = 25. Solve -l - 2*r = -m*r - 12, -x*l + 2*r = -14 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/20 and -41\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84257.\nAnswer: 109, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) + (-6*-1*sqrt(136) - sqrt(136)) + (2*sqrt(136)*1 - sqrt(136)))\/(-1*sqrt(32) + (sqrt(392)*2 - sqrt(8))).\nAnswer: 7*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(110\/11))\/(3*(-6)\/(-12))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = o + 43, -o + 2*u - 42 = u. Let t = o + 62. Suppose 5*k - 4 = t. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 147*a**2*i + 2*a**2*p + a**2 - 68*a*i**2 + 49146*i**3*p - i**3 wrt p?\nAnswer: 2*a**2 + 49146*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1704 a factor of 114979104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2114 - -1895. Is 3\/11 at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-2)\/(-3) + 286\/39 and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 6*t - 10*t, -5*t - j + 8 = 0. Which is smaller: t or 45\/28?\nAnswer: 45\/28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 80 by -807.\nAnswer: -80\/807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**2 + 6*k + 1361. Is i(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05641, 0.3, 2, 1 in descending order.\nAnswer: 2, 1, 0.3, 0.05641","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lclchllhhhlh. Give prob of picking 2 h.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-10 + 776\/78) + 17*140\/91?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*h + 3*h + 9. Let c be (-4 + (h - -6))*(-1 + 89). Let b = -77 + c. Which is smaller: 10 or b?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 4*a**3 + 26*a**2 + 48*a + 1. Let d(s) = -3*s**3 - 22*s**2 - 47*s - 1. Calculate 6*d(t) + 5*h(t).\nAnswer: 2*t**3 - 2*t**2 - 42*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 27 = -59. Let t be 9\/2 - (-24)\/f. Solve 16*w**5 + 4*w - 24*w**4 + 63*w**3 - 3*w**t - 28*w**4 - 28*w**2 = 0.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/9 - 3*11326\/(-189).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 - 8*w - 2. Let m be j(8). Let p = 4 + m. Solve 4*f - p = 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of x**6\/30 + 4*x**5\/5 + 79*x**4\/12 + 14*x**3 - 90*x**2 + 55*x. Factor n(u).\nAnswer: (u - 1)*(u + 5)*(u + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 51*s**3 + 290*s**4 + s + 211 - 49*s**3 - 212 - 4*s**2 + 0*s**2 + 3*s**2 to f + k*s**2 + b*s**4 + m*s**3 + a*s and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 5:05 AM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 156a - -20b8?\nAnswer: 3666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 24 - 32 = 0 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - 10\/((-25)\/(-5)). Suppose -i - 1 = -4. Suppose v = -6*k + i*k + 753. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -148 times 0.2\nAnswer: -29.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2.3 (b) 0.5 (c) -1\/15 (d) -3 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.07*7674\nAnswer: -537.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2517817.\nAnswer: 107, 23531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g + m - 13, -5*g + 0*g + m = 19 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -933, -3170, -6775, -11748, -18089?\n\"Answer: -684*d**2 - 185*d - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -119*k**4 + 412*k**3 + 55*k**4 + 66*k**4 - 2*k + 2*k**2 to the form u*k**3 + g + h*k + t*k**2 + j*k**4 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16280634 a multiple of 894?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1263 + 10957. What is r rounded to the nearest one hundred?\nAnswer: 12200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s**2 - 8. Suppose 0 = 6*a - 0 + 30. What are the prime factors of u(a)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/528 and 91\/27334824?\nAnswer: 54669648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 9*d**2 + 2*d - 6. Let r be b(9). Let s = -8 + r. Calculate the lowest common multiple of 9 and s.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 12*t**2 + 18. Let r be u(12). Suppose 1212 = r*n - 12*n. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20 - 272*t**2 - 25*t + 3*t + t**3 + 12*t wrt t?\nAnswer: 6*t - 544","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/24 of a day?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 272 divided by -68\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*a**2 - 463 + a - 444 - 449 + 1356.\nAnswer: -94*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61956194 to the nearest integer?\nAnswer: 7871","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - ((-4 - 0) + 5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u + 334 = -26. Suppose u = -0*p + 5*p. What is the lowest common multiple of p and 21?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/129 in 13, 0.5, -0.7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*r - 11910*r + 991*r.\nAnswer: -11001*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32944, 32972, 32998, 33022, 33044, 33064, 33082?\nAnswer: 33098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 28 = -4*y, -5*u - 2*y + 21 - 1 = 0. Suppose -s = u*s. Let d be -1*(s + 3\/(-18)). Which is the closest to 1? (a) -0.4 (b) d (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 11:26 AM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 12*y**2 - 11*y - 31. What is z(13)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 8. Suppose -b + z = b. Suppose -45 = -b*k - 0*k. Does 8 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 3 + 12. Let f = 112 - 113. Sort r, f, 4, -2 in decreasing order.\nAnswer: 4, r, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + ae78d9d?\nAnswer: ae78da0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1*(3 - 2))\/(-1). Let w = c + 3. Suppose w*q = -3*i + 8*i - 4, 3*q = -6. Solve 4*l + l = i for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -158751945, -158751948, -158751951?\n\"Answer: -3*w - 158751942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -59*w**3*x**3 + 44480*w**3*x**2 - 3*w**2*x**3 - 38*w*x**4 - 2*x**2 wrt x.\nAnswer: -354*w**3 - 18*w**2 - 912*w*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1081 - 909. Calculate the remainder when t is divided by 44.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1547, -5558, -12015, -20912, -32243?\nAnswer: -46002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a*a**2*a*a*a)\/(a\/a**13*a))\/(a**6*a*(a\/(a\/(a\/a**(-2\/13))))\/a))**(-12) assuming a is positive.\nAnswer: a**(-1692\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/20 + 105\/2 - 3. Let u = 203\/4 - w. Let m = 2.1 + -2. What is the second biggest value in u, m, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 4*x**2 - 6*x - 6. Let p(w) = -260*w - 3584. Calculate the remainder when p(-17) is divided by t(6).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7*0.055\nAnswer: -0.385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 + 10 + -48 + (-3)\/(33\/(-2))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of 10*y + 1\/10*y**6 + 0 + 3\/10*y**5 - y**3 - 1\/4*y**4 + 0*y**2. Factor x(k).\nAnswer: 3*k*(k - 1)*(k + 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/3 - ((-6)\/(-3) - 1).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 0, -6, -4, 930 in descending order.\nAnswer: 930, 0, -4, -6, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -228, -459, -690, -921, -1152, -1383?\nAnswer: -1614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 39915490 rounded to the nearest 100000?\nAnswer: 39900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -309472, -309442, -309396, -309328, -309232, -309102?\nAnswer: -308932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 399.2 - 342. Let y = 53 - s. Let r = 5.25 + y. Round r to 1 decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(500) - -5*sqrt(500) - sqrt(500)) + 1)*-3)**2.\nAnswer: 32400*sqrt(5) + 4050324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4610 and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/6*40\/15. Let l(w) = 1. Let p(m) = -5*m + 44. Let f(q) = k*l(q) - p(q). Let n be f(20). Is 52 > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 8*p**2 - 88*p - 1. Let c be j(11). What is the closest to 1\/3 in 1\/17, c, 2?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 344*u**4 - 2365*u**3 + 9387134*u - 2 wrt u?\nAnswer: 4128*u**2 - 14190*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -4 + -5 + (4 - -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1654?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 312746797?\nAnswer: 11, 28431527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 184 divided by -210\nAnswer: -92\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - 19*y - 10. Let j be ((-5)\/(100\/24))\/((-4)\/110). Let p(d) = -j - 56*d + 158*d**2 + 3 - 162*d**2. Let w(f) = 11*l(f) - 4*p(f). Factor w(m).\nAnswer: 5*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 942737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 11:05 PM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yjyrrq. What is prob of picking 1 q and 3 r?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 38*l - 3*l - 123 = 0. Which is greater: l or -113\/26?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 743557 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooop when four letters picked without replacement from popopooopoo.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 r, and 1 b when three letters picked without replacement from {b: 2, d: 2, s: 8, r: 7}.\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (106 - 114 + 292)*(-3 + 3010*u - 3013*u - 2) to the form g + i*u and give g.\nAnswer: -1420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-14)\/(-6) - (-2)\/(-6). Let k(f) = f. Let i be k(-3). Let h = 83 + -83. Sort h, b, i.\nAnswer: i, h, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + 1090\/15 - 8\/12. What is the second derivative of a*g**2 + 73*g**2 + 68*g - 221*g**2 + 70*g**2 wrt g?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -4*h - 17, 4*b + h - 18 = -8 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v - 12. Let h be q(-8). Let a = h + 30. Suppose 2*j - a = -0*j. Does 1\/10 = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1495 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 8*y**2 + 50*y + 26. What is f(12)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -9, -1, 9, 15, 11, -9, -51?\n\"Answer: -b**3 + 7*b**2 - 6*b - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -3. Suppose -36 = -x + c, -2 + l = 3*c. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*q**2 + 337 - 6*q**2 + 3.\nAnswer: -15*q**2 + 340","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 1 = -5*v + 9, -5*i = -5*v + 50. Suppose 10 - v = 2*y. Factor 9*f + 2 + 3*f**y + 1 + 3 + 0.\nAnswer: 3*(f + 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-27)*8 + 2 + -4. Put 0.06, 1, c in decreasing order.\nAnswer: 1, 0.06, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from jjppp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is cc (base 16) in base 9?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10689*m - 167*m + 4086*m + 8340*m - 3257*m.\nAnswer: 19691*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -8*d + 4. Let i be k(4). Calculate the remainder when 30 is divided by 45\/4 - (-7)\/i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 3*i**3 - 26*i**2 - i**3 + 29*i**2 - 25*i**2 + 0*i**3 as q*i**2 + a*i**3 + f*i + c and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/4 - 22\/(-56). Let h = 4147 + -4147. Solve -1\/7*l - 3\/7*l**3 - 3\/7*l**2 - y*l**4 + h = 0 for l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(7 - 9) - (1 + -2). Suppose -8 = -4*d, 2*z + c*z = -d + 322. Calculate the greatest common divisor of z and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 77 + -45. Let t be 2\/(-7) - c\/(-14). Find the second derivative of -v**5 + 2*v - v**2 + v**t wrt v.\nAnswer: -20*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5434 - -65?\nAnswer: 5532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.18 and -656.\nAnswer: -657.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-80)\/(-16))\/(-120))\/(2\/6)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -23181, -22908, -22435, -21750, -20841, -19696?\n\"Answer: 2*m**3 + 88*m**2 - 5*m - 23266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**4 - 30033*p**3 + 240120*p**2 - 480144*p.\nAnswer: 3*p*(p - 10003)*(p - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-21)*90\/(-147))\/(255\/2142).\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -688 + 388. Let f be (-23)\/5 + 18*(-10)\/z. Let x(d) = -2*d - 3. What is x(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 18 = -4*n + 24, 5*d = 4*n + 21. Solve -6*q = 27 + d for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l**3 - 6*l**2 - 5. Let v(x) = 2*x**3 + 5*x**2 + 7. Let b(d) = -4*d**3 - 10*d**2 - 13. Let t(g) = 3*b(g) + 5*v(g). What is -5*t(w) + 4*z(w)?\nAnswer: -2*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(5) + (-3 + 1 + sqrt(5))**2).\nAnswer: -12*sqrt(5) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 6:28 PM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0*2\/(-6) + 3. Suppose -x*b = -3*s - 3, -5*b + 5 = -2*s - 6. Suppose -s*j + 33 = -1. List the prime factors of j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of 1\/20*h**5 + 6*h + 1\/2*h**3 + 1\/2*h**4 - 5\/2*h**2 + 0. Let z be s(-5). Solve -2*u + 18 = 2*c, 3*c + 3 = z*u - 2*u for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96727669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-1) - -1*143\/22\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 164092?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a + 28. Let r be h(-13). Let q(m) = 2*m**3 + m**2 + 2*m - 1. Let p be q(r). Solve 5*g + p = 8 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4217.\nAnswer: 4217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 4*u - 4 = 0, -2*a - 2*u - 37 = -47 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7879789414732 and 9?\nAnswer: 7879789414741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-15)*(-6)\/10*325\/(-130).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 3. Let k be (2\/6)\/(74\/56166). Suppose -w - 909 - k = -g*h, 3*h - 2*w - 1741 = 0. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -51 + 27. Let z = -3 - v. What is the highest common divisor of z and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 3 - 11*s + 10*s)*(0 + 39 - 2).\nAnswer: -37*s - 370","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 13 - 85. Differentiate -h*g**3 + 17*g**4 - 27 - 20*g**3 + 38*g**3 wrt g.\nAnswer: 68*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 23018 or 23017?\nAnswer: 23018","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 + (25 + 1861)\/41.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 3 (b) -5 (c) -2\/3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 7*i**2 - 109*i + 35*i**2 + 110*i. List the prime factors of j(1).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 3*c + 12 = 0, -5*x + 464*c = 462*c - 22. What is the smallest common multiple of 3057 and x?\nAnswer: 6114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-424)\/40 - 6\/15. Let o = w - -5. What is the remainder when (-22)\/(32\/o + 5) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 24*b**2 + 43*b - 43. Give y(-22).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 6 - 6)*(2*i - 2*i + 2*i**3 + 6*i).\nAnswer: 4*i**4 + 12*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.26 - 26.26. Let o = -27.2 - w. Sort -2\/15, 2\/5, o.\nAnswer: o, -2\/15, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**3 + 4*u**2 + 12*u + 54. Let s be d(-3). Put 9, 1, 1.3, s in descending order.\nAnswer: 9, 1.3, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 82 + -107 - -6 - (6 + -2 + -102).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -6, -13, 2 in descending order.\nAnswer: 2, -6, -7, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 571704947?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**3 + 10*p**3 - 3*p**3)*(-981*p - 222*p - 33178 + 33180).\nAnswer: -12030*p**4 + 20*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 + 4*z. Let s be b(-6). What is the common denominator of 5\/2*s\/25 and -2\/3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vih when three letters picked without replacement from {h: 1, v: 12, i: 3}.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 times 1365167\nAnswer: -955616.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50326, 50216, 50034, 49780?\nAnswer: 49454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12883 and 325.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*f + 182 = -799 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 88 and 616?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c**2 - 36*c - 50. Let h be r(-15). Solve 12*z = h - 16 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 349 = -375*x - 401 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 95618847?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(102)\/(sqrt(6) - sqrt(6)*3) + -2.\nAnswer: -sqrt(17)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -22*v + 3. Let y(o) = 1. Let s(k) = -g(k) + 4*y(k). Let p be s(-1). Let n = -7 - p. Does 7 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 4*j + 18, y - 1 = -3*j - 0*j. Solve -5*b = q - y, 4 = 3*b - b for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3911 - 3980.28. Let a = 68 + s. Round a to one dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -25*w**3 + 15*w**2 + 299*w + 18. Let x(c) = 11*c**3 - 7*c**2 - 149*c - 8. Calculate -4*i(l) - 9*x(l).\nAnswer: l**3 + 3*l**2 + 145*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 8:02 AM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**2 + 4*w - 26. Let g be c(-7). Suppose 12 = -4*s - g. Is s at most -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006262699 rounded to seven decimal places?\nAnswer: -0.0006263","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nyyn when four letters picked without replacement from {y: 14, n: 4}?\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -1\/10, 1\/9, 4, 0.1773?\nAnswer: 0.1773","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from aaamaamammamammmaaam.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -3, -8\/3, -9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 12 = 3. Suppose 2*c = -3*h + 10, c = b*h - 3 - 19. Calculate the remainder when h\/10 - (-344)\/10 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/(-160) - 14\/(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105372982.\nAnswer: 2, 11, 13, 23, 83, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -2*g**5\/11 - 122*g**4\/11 + 136944*g**3\/11 - 5848200*g**2\/11 - 779760000*g\/11 = 0.\nAnswer: -304, -57, 0, 150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 58027 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 23 = -3*v, 0 = m - 5*v + v + 16. Suppose -m*x = -5*x + 13. Calculate the highest common divisor of 13 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/((-896)\/24)*2*12\/90?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35\/3 + 37\/3. Factor -n*k + 0 + 2\/3*k**3 + 0*k**2.\nAnswer: 2*k*(k - 1)*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 179 - 176. Find the third derivative of 87*c**w + 238*c**3 - 81*c**2 - 94*c**3 wrt c.\nAnswer: 1386","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99571.96m to micrometers.\nAnswer: 99571960000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**2 + 3*f**2 - 3*f**2 + (2*f - f + 4*f)*(f - 7*f - 8*f).\nAnswer: -72*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2566266 + 4.\nAnswer: -2566262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.150028456 - 2.15. What is f rounded to 6 decimal places?\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3360040 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -12*n. Solve i - 1 + 0 = n for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.052 + 0.172. Let x = z - 2.12. Sort 5, -2\/215, x in decreasing order.\nAnswer: 5, -2\/215, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-10)\/4)\/(-8 + (-105)\/(-14)). Suppose -2*x - 137 = 3*w, 5*w + 74 = 4*w + j*x. Do w and -49 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/724 and 14\/905.\nAnswer: 3620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6796?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of -g**7\/490 - g**6\/56 - g**5\/35 + 2*g**2. Determine v so that a(v) = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 0 + (-132 - -53) - (-4 + 2)\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2313*t + 2*t**2 + 1156*t + 1157*t + 4.\nAnswer: 2*t**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3 and -129?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ce9369 - 14?\nAnswer: -ce937d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d9b11 + 0?\nAnswer: -d9b11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 26*v. Let l(m) be the third derivative of -1\/350*m**7 + 0*m**4 + 0*m**3 + 1\/100*m**6 + v*m - 5*m**2 + 0 - 1\/100*m**5. Factor l(z).\nAnswer: -3*z**2*(z - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -14, -7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -272a97 (base 14) in base 8?\nAnswer: -5120715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -90972*p**2*x**2 - 4876*x**2 - 6 wrt p?\nAnswer: -181944*p*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*i = -19*i - 12328. What are the prime factors of i?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + 8*t - 4. Suppose 3*b = -a + 6*b - 9, 5*a - 5*b = -45. Determine o(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 c, and 1 r when three letters picked without replacement from {d: 1, y: 1, v: 1, c: 1, k: 1, r: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19372433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47 - -77 - -4 - (-6 + 27).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.128692489 rounded to two dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000009563 rounded to seven dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of -r**5\/20 - r**4\/6 + 5*r**3\/6 + 546*r**2. Let v(g) = 2*g**2 + 3*g - 4. Suppose 4*f = 20 - 4. Determine f*v(x) + 3*i(x).\nAnswer: -x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z. Let p(t) = -41 - 966*t + 491*t + 491*t. Give p(w(m)).\nAnswer: 16*m - 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddoebddoedoebddof. What is prob of picking 1 e and 2 b?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z + 4. Suppose 3*q + 15 = 4*s, -3*s + 4 = -0*q + 5*q. Let g(m) = -4*m - 4*m + s*m - m**2 - 1 - 20. Determine -2*g(n) - 11*u(n).\nAnswer: 2*n**2 - n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/3, -58, -0.5?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 892353 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.3 - 1.4. Let q = -1.13 - -1.2. Let j = 4.07 - q. What is the closest to w in 1, j, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5*k = -13, -4*d = k + 20 + 5. Let l = -2 - d. Find the third derivative of o**2 - 20*o**4 + 15*o**l - 2*o**2 wrt o.\nAnswer: -120*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21373)\/3045 - 8\/(-420) - (-3)\/((-27)\/(-49)).\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1513992771?\nAnswer: 3, 73, 2304403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 181 and 18643.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*v + 12 - 4. What is the units digit of (16 - 20) + v + 30?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate i**2 - 4*i**2 - 26*i + 8*i**2 + 132 + 9*i - 4*i**2 wrt i.\nAnswer: 2*i - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 31, 100, 217, 376, 571, 796, 1045?\n\"Answer: -q**3 + 30*q**2 - 14*q + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 136*b**2 - 2*b + 1. Let j be i(1). Let v be 293 - -3*(-1 - -2). Let m = j + v. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*t**2 - 18*t**3 + 27*t**3 - 54*t**3 - 86*t**2.\nAnswer: -45*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 4. Let t = 0.0027 + 0.1973. What is the closest to 2\/11 in 0.5, t, i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 27 (b) 0.54 (c) 5 (d) -2\/59 (e) 0.2 (f) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -1345*a**3 - 47*a**2 - 2*a. Let h be p(4). What is h rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49207409?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2344*x**4 + 9*x**2 + 18*x + 130. Let a(j) = -586*j**4 - 2*j**2 - 4*j - 33. Let v(f) = 9*a(f) + 2*b(f). Differentiate v(i) with respect to i.\nAnswer: -2344*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 - 7.78. Let s = p - 0.92. Let q = s + 9. What is the third biggest value in -14, q, -2\/19?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 659854025?\nAnswer: 5, 26394161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2366, -2333, -2314, -2315, -2342, -2401, -2498?\nAnswer: -2639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 + -16. Suppose -j*g + 11 = 3*u - 4, 2 = -2*g. Is u a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 4 - 1. Let w(u) = -u**2 + 2*u + 5. Let n be w(z). Suppose -87 = -n*j + 75. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, o: 3, x: 6, a: 1, c: 4, k: 1}. What is prob of sequence ko?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19859 + 19888. Solve -q*w = -w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75 + 75 - 144*c + 142*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 303811 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t - 2*t + t + 6*t - 1. Let s be d(1). Suppose -4*b + s = -19. Calculate the highest common factor of 6 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3840 and 57170880.\nAnswer: 228683520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of y**4\/4 + 2*y**3\/3 + 9*y**2\/2 - 12*y - 3. Let x(m) = 2*m**2 + 3*m + 8. Calculate -3*p(o) + 4*x(o).\nAnswer: -o**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 32*z**2 + 91*z + 546. Is b(-6) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1070 + 1068. Let n = 2 + -1. Let d = -2 + n. Which is the nearest to -0.1? (a) o (b) 2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - (-1 + 1 - 6). Let f(p) = p**3 - 18*p**2 - 21*p + 40. Let t be f(19). Solve q*c + 0 = -i - 8, -c = t for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26499124, -26499126, -26499138, -26499166, -26499216, -26499294, -26499406?\nAnswer: -26499558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 150 and 24732075.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7008.\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (236\/(-28) - -9)\/((-1)\/(-7)). Put 10, 1, -6, f, 0 in descending order.\nAnswer: 10, f, 1, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 471 - 477. Is (-559)\/p - ((-85)\/30 - -3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-87)\/156 + 4\/13. Which is smaller: -404 or s?\nAnswer: -404","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*f - 20*f**3 - f - 16*f**3 wrt f?\nAnswer: -216*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 2) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1203 - -12091\/10. What is the common denominator of -101\/12 and o?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 6*l + l + 29 = 0, -17 = -c - 3*l for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ofof when four letters picked without replacement from {o: 9, f: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(300)*1)**2*-6 + -4 + 2*sqrt(300) + 1).\nAnswer: -80*sqrt(3) + 7212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 60 - 36. Let r be ((-2)\/6)\/(4\/z). Let a(t) = -156*t - 4054. Let v be a(-26). Put -3, v, 3, r in ascending order.\nAnswer: -3, r, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g - 7. Let t(q) = 11. Let m(j) = -30. Let c(i) = 6*m(i) + 17*t(i). Let d(w) = 3*c(w) + 2*r(w). Determine d(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.7 - -0.3. Let v = -2156 + 2159. Let h = -1 + 0.5. What is the smallest value in v, h, p?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of -d**4\/6 + 6*d**2. Let x(m) = 4*m**2. What is i(x(n))?\nAnswer: -16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b - 3. Let p be 112\/12 + (-3)\/9. Let l be u(p). Differentiate 0 + 8 - 6 - l*t**3 + 9 wrt t.\nAnswer: -18*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 189 - 942\/5. Let a = 257\/45 - 28\/5. Put -4, 3\/2, a, j in decreasing order.\nAnswer: 3\/2, j, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of 4 - 2\/15*d**3 + 1\/5*d**2 + 2\/5*d - 1\/10*d**4. Factor v(j).\nAnswer: -2*(j - 1)*(j + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8.524657 - -3917418.024657. Let a = 3917414.5000059 - l. Let x = -5 + a. Round x to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -96, 3, -14, -1, 74 in ascending order.\nAnswer: -96, -14, -5, -1, 3, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52695712?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5079 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 t(i) = i**3 + i**2 - i - 1. Let d(u) = 5*u**3 + 31*u**2 - 4*u - 4. Give -d(y) + 4*t(y).\nAnswer: -y**3 - 27*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 4:51 PM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*b**2 + 3*b**3 - 55*b**2 + 33*b**2 - 2*b + 1 - 2*b**3 to g*b + v*b**3 + q*b**2 + i and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -41 + 36*d - 108 - 176*d wrt d?\nAnswer: -140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 573 = 175. List the prime factors of w.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 21*k**2 - 40*k - 32. Let o be h(-19). Solve -5*s - w = -2*w + o, 2*s - 4*w = -6 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + -3*sqrt(5)*-4 + sqrt(5) - sqrt(5) - (sqrt(5)*-2 + 4))**2 - (sqrt(50)\/(sqrt(450)\/sqrt(5))*5)**2.\nAnswer: -120*sqrt(5) + 10144\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 47?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -m**5\/4 - m**4\/12 + 2*m**3\/3 + 5*m**2\/2 - 37*m - 4. What is w(-2)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -9*n**2 - 11. Let i(w) = -4*w**2 - 5. Let x = -45 - -47. Suppose 0 = -2*b + 4 + x. Suppose 3*o = -2*r - 19, -4*r + 3*r = -1. Give b*m(d) + o*i(d).\nAnswer: d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)*2*6)\/(1*sqrt(1210)).\nAnswer: 12*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 12*d**5 + 1529236*d**4\/5 + 9749565376*d**3\/5 + 70768559568*d**2\/5 + 3115735168*d - 3635690240 = 0.\nAnswer: -12740, -7, -2\/3, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -32524b?\nAnswer: -32524b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - u = -9, -u - 75 = -3*c. Let f be (-13)\/c - (-15)\/14. What is the nearest to -4 in 3\/2, 0, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven halves of a century?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5277571.\nAnswer: 13, 405967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5038, -5202, -5474, -5854, -6342, -6938, -7642?\nAnswer: -8454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -2 + -2 + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -6*y + 7*y. Let r = y - 33. Is ((-37)\/2)\/((1 + r)\/(-6)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of (-7)\/(-28) - (0 - 215\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 2*h**2 + 35370*h - 141512 = 0.\nAnswer: -17689, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -88, -1, -1\/22, -4?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 13\/5, -0.3, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 3. Let d = 3.8 - 4. Let k = 5.8 + -5.3. What is the nearest to d in 1\/3, k, c?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of -4\/105*t**5 + 3\/14*t**4 + 0 - 190*t**2 + 0*t - 4\/21*t**3. Let l(i) = 0. Calculate i.\nAnswer: 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -5*u - 12. Let k be a(-6). Suppose i + 13 = 70. Suppose i = v + k. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 558777701 to the nearest integer?\nAnswer: 824","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1190\/(-850))\/(3213\/(-540))?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {t: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-824)\/721*(-35)\/(-30))\/(4\/(-162))?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4081750, 8163500, 12245250, 16327000?\nAnswer: 20408750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 137 - 235. Solve x - c = -94 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*k + 2*k**3 + 8 - 26*k**2 - 11 + 2)*(-4*k + k + 5*k) to p*k + f*k**3 + h*k**2 + r + g*k**4 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1417 is divided by 154.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/i**6))\/i**(3\/4)*i**(-2\/13)*i*(i\/(i*i*i\/(i\/(i*i**(-5)))*i))\/i)\/((i**1)**(-26)\/(i*i**5*i*i**4\/i*i)) assuming i is positive.\nAnswer: i**(2293\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1445 and 50864?\nAnswer: 254320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + (-2)\/8 - -1. Let n be 150\/35 - 6\/21. Suppose 0 = -q + l + l + 1, 5*l = 3*q - n. What is the smallest value in y, -1, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/((-13)\/(52\/(-8)))*86\/31175.\nAnswer: -2\/145","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -5 - 5 - 8*l**3 - 1 - 3. Let f(r) = 3*r**3 + 5. Determine -14*f(h) - 5*i(h).\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -45087, -49, 2\/11, -3, 0.4 in ascending order.\nAnswer: -45087, -49, -5, -3, 2\/11, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 29547253 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3*k**2 - 55*k + 55. What is the remainder when 184 is divided by j(-19)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1935*b - 274*b - 382*b - 496*b + 41.\nAnswer: 783*b + 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, c: 3, v: 1}. Give prob of sequence ccc.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of j**5\/5 + 3*j**4\/2 - 6*j**3 + 345*j + 2. Determine u, given that n(u) = 0.\nAnswer: -6, 0, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1355629 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 21 = -r. Suppose -3*m - 2 - 16 = 0. Let v be r\/3 - m\/9. Solve -v*j = 2*l + j + 18, -3*j = 3*l + 18 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m + 22. Give l(-12).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6399013?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6962*d**3 + 944*d**2\/3 - 32*d\/9 = 0. Calculate d.\nAnswer: 0, 4\/177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 191067231 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*i**3 - 3*i**2 + 4*i**5 + 12*i**4 - 5*i**2 - 12*i + 2 - 6 = 0. Calculate i.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/6 and 65\/796258.\nAnswer: 2388774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27c910 (base 13) to base 11.\nAnswer: 6030a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 8, r: 3}. What is prob of picking 1 m and 3 r?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 9134161\nAnswer: 3\/9134161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 188542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2*n = 57. Suppose 0 = -n*j + 18*j + 317. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -131 - -657\/5. Which is the closest to -0.2? (a) 2\/11 (b) 4\/3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -446955 - -848959. Suppose 2*w - 2*u + r = 0, -2*w + 5*u - 161136 = 240874. Round w to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of -1279*g**4\/12 + 467*g**3\/3 - 131*g. Find the second derivative of r(s) wrt s.\nAnswer: -2558","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*r + 14*r = 33 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/((-52)\/28) - -20?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 q when three letters picked without replacement from qqkqkqkkqkkqq?\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1031 and 23.631.\nAnswer: -1007.369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -73610.8 rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/((t*t**0)\/t))**45\/(((t**(2\/5)\/t)\/t)\/t)**(-34) assuming t is positive.\nAnswer: t**(8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110001100000011 (base 2) to base 7.\nAnswer: -133620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 635.7658 years to decades.\nAnswer: 63.57658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -17420*g - 13465654. Determine r(-773).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2409263?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27.036214 - 27.121. Let r = s - -0.0816. What is r rounded to four decimal places?\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 104, 4, -1, -5.\nAnswer: -5, -1, 4, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/5))**(-39)\/(u**(2\/23)\/(u*u**2*u))*(((u\/u**(2\/3))\/u)**41)**(1\/30) assuming u is positive.\nAnswer: u**(19253\/1035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -64*h**3*l**2*v - 2107*h**3*v - 3*h**2*l*v - 5*h*l**2*v - 2*h*l*v wrt l?\nAnswer: -128*h**3*v - 10*h*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -8*x - 2. Let b(p) = 17*p + 8. Let h(i) = -116*i - 57. Let z(n) = 15*b(n) + 2*h(n). What is 8*k(o) + 3*z(o)?\nAnswer: 5*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-10))**(2\/25)\/(w\/(w*(w\/(w\/((w*w\/(w*w\/w**12)*w*w)\/w)))\/w))**15 assuming w is positive.\nAnswer: w**(896\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 14*u**2 - 12*u - 21. Let t be n(13). Let z(r) = -r**3 - 5*r**2 - 2*r - 2. Let h be z(-5). Is 15 a factor of 540\/t*h\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2097842 is divided by 209734.\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49990679 is divided by 4999067.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -5*y + 70 - 11*y + 13*y. Let w be u(21). Solve w*f - 4 = 5*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**3 + 0*y**3 + 2*y**3)*(-11 + 11 + 2*y) + 3*y**4 - 1 + 1 + (y**2 - 4*y**2 + 4*y**2)*(-36*y**2 - 33*y + 33*y).\nAnswer: -31*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, k: 2, d: 4, b: 1}. Give prob of sequence kkd.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qez when three letters picked without replacement from {z: 2, b: 2, q: 6, e: 10}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-two fifths of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -14. Let f(h) = h + 7. Let u be f(-5). Suppose -u*d + 6*d = 40. Calculate the lowest common multiple of z and d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from -10337384224887.\nAnswer: -10337384224891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a kilogram in grams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - v**2 + 911. Suppose 2*f = 7*f. Is x(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1170849642874 - -0.23.\nAnswer: 1170849642874.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1069000 rounded to the nearest 10000?\nAnswer: 1070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 81500466?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Put 0.12, 5, -7 in descending order.\nAnswer: 5, 0.12, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 + 0 + 0)*(11 - 11 - 4*u) + 0*u + 2*u + 2*u)*(-2 + 6 - 2) + (3*u - u - u)*(-3 - 2 + 6) to the form y + s*u and give s.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 1 - 9 - (-43 + (48 - 23))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 16 = -5*q + 3*v, 0 = -4*v - 8. Let n(a) = -a + 9. Let d be n(7). Let t(u) = 2*u - 33*u**d + 34*u**2 + u. Calculate t(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*n**2 - 6*n**2 + 19 + 13 - 6.\nAnswer: -14*n**2 + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2976, 544, -1888, -4320?\n\"Answer: -2432*b + 5408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 x when two letters picked without replacement from {e: 5, m: 3, o: 1, x: 4, p: 1}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 101*-3.\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s + 3*s + s)*(-62 - 42 + 0).\nAnswer: 104*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of 4*r - 6 + 31\/2*r**2. Is t(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 20.37 and 0.074.\nAnswer: 1.50738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*n - 2*n + n)*(-7 + 8 + 10) + 0*n + 2*n + 0*n + (6*n - n - 4*n)*(-3 - 1 + 6) to the form v*n + y and give v.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 450433 and 379312?\nAnswer: 7206928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/3 (b) 1193 (c) 0.15 (d) -5 (e) -9 (f) 4 (g) 6\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 7 = 1. Let d = p + 8. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-6) + (-1130)\/(-6). Suppose t = -2*t - y. Let n = 1 - t. What is the highest common factor of n and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 210\/(-770) - (2\/11)\/(-2).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 173*k**3 - 1 - 5*k + k - 184*k**3 in the form i + m*k + b*k**2 + o*k**3 and give o.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*x + 2*x + 3 - 1)*(-2 - 1 + 6).\nAnswer: -21*x + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j - 12. Let x be t(5). Let g be (-9)\/2*4\/(-3). Let y = g - x. Solve -y*m + 7 = -8 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -100101000?\nAnswer: 100101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1384.\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10520?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**3 - 5*l**2 + 2*l - 1. Let k be g(4). Let y(n) = n**2 - 14*n - 2244. Let z be y(55). What is the highest common divisor of z and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 3*w**2. Let l(f) be the second derivative of f**7\/840 - 5*f**4\/12 + 4*f. Let y(k) be the third derivative of l(k). Calculate y(r(x)).\nAnswer: 27*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 15*l**2 - 3*l - 8. Let h(s) = s**2 + s + 1. Let a(t) = -3*h(t) - y(t). Find the first derivative of a(x) wrt x.\nAnswer: -36*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(91) - sqrt(91)*-1)*-3)\/(sqrt(28) + sqrt(84)\/sqrt(3) + sqrt(28)))**2.\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 112522825693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8911 and 208145?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -8*i**2 + 1654. Let k(u) = 5*u. Determine k(b(p)).\nAnswer: -40*p**2 + 8270","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q*q*q\/(q*q*(q\/(q\/((q**13\/q)\/q)))\/q)*q)\/q*q)\/q)\/q**(-7\/8)*q**(1\/5)*q*q*q*q*q**(-2\/19))**(1\/66) assuming q is positive.\nAnswer: q**(-1021\/16720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 36982 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from {w: 4, v: 10}.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 36, 53, 98, 183, 320, 521?\n\"Answer: 2*o**3 + 2*o**2 - 3*o + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.89 + 0.11. Let w = 2220\/11 + -202. Let k = 2 - -1. Sort k, t, w.\nAnswer: w, k, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 498 is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -42.4 (b) 2 (c) -0.9 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/(-4)*(-114)\/(-15). Let c = b + -15. Suppose -7*v = -c*v - 633. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6399119198?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-17 + 24 - 92) - (1 + -2 + 2)?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/5 (b) 0 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.3 times 4?\nAnswer: -33.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/9100 and -57\/531440.\nAnswer: 2657200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-six fifths of a decade?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) -0.4 (b) -0.0738 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184*r**3 + 13421357 - 361*r**3 - 13421357 + 180*r**3.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeueuu. What is prob of sequence eueu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 - -29. Suppose 0 = g*l - 12*l + 20. Let r(p) = p**2 - 6*p + 5. Let d(s) = s**2 - 6*s + 5. Let u(w) = l*d(w) - 6*r(w). Give u(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.032343 and 1.7.\nAnswer: 0.0549831","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a. Let f = 5 - 1. Let t(m) = m**2 + m + 1. Let l = 6 + -7. Let c(g) = 2*g**2 + 4*g + 4. Let b(q) = f*t(q) + l*c(q). What is u(b(k))?\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -762100000 to the nearest one million.\nAnswer: -762000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 5*b + 11*b - 4*b**2 + 24 + 3*b**3 + 20*b**2 - 4*b**3. Let n be l(17). Solve 5*v = 5*d, -3*v + 13 + n = 2*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 124\/(-705) - 164\/(-3854). Which is the fourth smallest value? (a) 1\/4 (b) y (c) -7 (d) -1\/3 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 + 3*n + 4. Suppose -o + 3 = 0, -2*w - 3*w + o - 38 = 0. What is the tens digit of l(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -84 + 49. Sort h, -5, 2.\nAnswer: h, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**3 + 650*k**2 + 26402*k - 148010 = 0 for k.\nAnswer: -41, 5, 361","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 192 and 84?\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k**3 - 22*k**2 + 4*k + 21. Let c be t(7). Let z(s) = 2*s - 6. Give z(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 5 + sqrt(7) + sqrt(7) + sqrt(7) + (-3 + sqrt(7))*3)**2.\nAnswer: -96*sqrt(7) + 316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 174 - 137 - (9 + -3 + 125)?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28698 divided by -6.\nAnswer: -4783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n**3 + 3*n**2 + 3*n + 1. Let x = -2 - -8. Let u(j) = -j**3. Let s(f) = x*u(f) - 2*z(f). Find i, given that s(i) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1074)\/15 - (-6)\/(-15). Is (u\/10)\/3*-15 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (69\/9 + -7)\/(1\/6). Suppose -8*u = -b*n - 9*u + 3187, 0 = u + 1. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*s**5 - 49*s**5 + 25*s**5 + 3*s**2)*(-3 + 1 + 1).\nAnswer: s**5 - 3*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -29498 and -10530.\nAnswer: -40028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 15659501 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 8. Let q(l) = 3*l + 4. Let r be q(3). Let t = r - s. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123424313 (base 5) to base 14.\nAnswer: 11b867","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4996770 less than -0.0289882?\nAnswer: 4996769.9710118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -334597, -2675549, -9029217, -21401959, -41800133, -72230097?\nAnswer: -114698209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37054.\nAnswer: 2, 97, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 105413?\nAnswer: 105413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2120\/318 - 3185\/147?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -6*l + 3*y + 14, 0 = l - 3*y - 8. Suppose 2 = 2*f - l. Let g(i) = -4*i**2 - i**f + 3*i - 3*i. Let w(x) = -x. Determine g(w(b)).\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10050856 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: In base 7, what is 26625601 - -15?\nAnswer: 26625616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000015499 rounded to 7 decimal places?\nAnswer: -0.0000155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, 2\/13, -0.08, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l + 36 = 29*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12022014, -24044045, -36066078, -48088113, -60110150, -72132189, -84154230?\nAnswer: -96176273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i**2 + 10*i - 23. Let m be z(-7). Is 563 + (0\/m)\/7 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 + 4 - -3) + -3 + 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/14)\/(-2 - (-190)\/70). Which is the third smallest value? (a) -0.07 (b) u (c) -0.3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2 + 11510777387?\nAnswer: 11510777384.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -3, 1, 3, -0.2, -12?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - (-146 + 11)) + (-11 - -8 - -4 - -9)?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.66 plus -0.4?\nAnswer: 60.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3\/34 (b) 5 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000069131 to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 8*r**2 - 7*r - 13. Let o be b(9). Suppose -h + m + 22805 = -o*h, -2*h + m = 11395. Round h to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -62 - -98. Let c(x) = -x - 3. What is the remainder when c(-7) is divided by o\/(-9) + -1 + 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 6:02 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63330?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/7 (b) 128 (c) 5 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*r - 25*r + 711214. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -2\/13*u**2 - 2\/13*u**4 + 4\/13*u**3 + 0 + 0*u = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -938, -1377, -1816, -2255?\n\"Answer: -439*n - 499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of l**6\/10 - 81*l**5\/20 + 24*l**4 - 46*l**3 + l + 42. Determine n, given that x(n) = 0.\nAnswer: 0, 2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 95308?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10904 - 31160660.985.\nAnswer: -31171564.985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, y: 1, x: 1, f: 2, q: 1}. What is prob of picking 1 x, 1 q, and 1 v?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y*y\/y**(-6)*y)\/y*y)**4*(y\/y**(-14))\/y*y*((y\/(y\/y**16))\/y)\/y)**34 assuming y is positive.\nAnswer: y**2346","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2569*d + 25817 = -115478 for d.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55159 is divided by 187?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**2 - 12*f - 4. Let u be d(7). Suppose -u*l + 614 = -8*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3205*j**2 - 342*j + 341. Let x be q(1). Calculate the highest common divisor of 576 and x.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x**3 + 12 + 2*x**2 + 23 + 24 - 451*x.\nAnswer: 4*x**3 + 2*x**2 - 451*x + 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 23462544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 130300 divided by 4\nAnswer: 32575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-2)*((-80)\/(-2))\/4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 246914 to the power of 1\/2, to the nearest integer?\nAnswer: 497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000375 rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2.8 - 3932867005\nAnswer: -3932867002.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1050231 and 3549.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 541911?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3*l**2 + 7*l - 4. Let c(g) = g - 1. What is 5*c(m) - i(m)?\nAnswer: 3*m**2 - 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 4380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 - 69*a**2 - 20*a - 8600. What is q(71)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28613 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-40)\/8 + (-26)\/(-5). What is the second biggest value in -1\/4, l, 2\/11, -3\/2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5*i = 5*j - 133, 5*i - 101 = -3*j. Suppose -4*l + 3*u + j = 5*u, 0 = 5*u + 10. Solve l*t = 5*t + 8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (5 + -1)\/(38\/26) and 10 + ((-7056)\/(-80))\/(-9)?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a - 2. Let u(b) = 6*b - 81. Let n(c) = 3*m(c) + u(c). Calculate the remainder when 51 is divided by n(12).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (1\/(-5))\/(86\/(-3225)) and -29\/888.\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 + 12. Let x = 2.2 - 1.7. Let w = 0.02 - -3.98. What is the closest to 0.1 in x, d, w?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*i**2 + 21*i**2 + 568319*i**3.\nAnswer: 568319*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10100 (base 2) to base 13.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -1, 27, -0.06008, 62?\nAnswer: -0.06008","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21330*h - 1178 = 21368*h for h.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 503175 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35113\/2504 or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36.23 - 36. Let x = -0.07 - h. Let w = 0.4 + -0.5. What is the closest to w in -4, x, 0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1582?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -7*w + 3. Let r(g) = -g + 1. Calculate 4*r(a) - s(a).\nAnswer: 3*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2027?\nAnswer: 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*t**4 + 98*t - 98*t + (1 - 1 - 2*t**2)*(t**2 - 4*t**2 + t**2))*(-4 - 3 + 5).\nAnswer: -62*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 32930 rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52\/65 + 5209*45\/25?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1354 + 7439. Is n a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 145548 and 36698?\nAnswer: 622","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-29 - -30)\/(-3*(-4)\/60). Solve -14 + 6 = 5*o - 2*q, -3*q - r = o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/5)\/((-129)\/(-2150)). Calculate the greatest common factor of w and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -63553 = -63553?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, s: 4, j: 2, d: 1}. What is prob of picking 2 j and 1 d?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.949 + 75.651. Round b to zero decimal places.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -384*d + 79*d + 80*d + 46*d + 102*d + 75*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 t, and 1 v when three letters picked without replacement from {v: 1, t: 2, l: 10, d: 1}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 + 12*i**2 - 36*i - 16. Let c be q(-14). Let m = c - 30. Is m a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 51162*a**2 - 1 + 540*a**3 + 51161*a**2.\nAnswer: 540*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-1 - -7 - 7)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*l + 60. Let m = l + 21. Let p = 2 + -1. What is the lowest common multiple of p and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/4 and 35\/129?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(3\/(-6) + 1). Let q(u) = u**3 + 6*u**2 - 4. Suppose 10806*y = 10734*y - 360. Let x(i) = i**3 + 7*i**2 - 5. Give k*x(f) + y*q(f).\nAnswer: -f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 5, 7, 4\/9, 2\/37, 0.151, -5, -1\/9?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2001321.\nAnswer: 3, 7, 10589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (574 + 3162 + 2966)*(3*z - z**2 - 3*z) in the form t*z**2 + a*z + k and give t.\nAnswer: -6702","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + 1 - 6*t - 5 + 3. Let f be y(7). List the prime factors of -1*-2*21\/f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14975561*c**2*d**2 + c**2*d - 9*c**2*o**2 + 3*c**2 + 2067*c*d + d**2*o**2 + 2*d - 4*o**2 wrt d.\nAnswer: 29951122*c**2 + 2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 131.5424 to 0 dps.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165 is divided by 35?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 710 at least 710?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135009 is divided by 134?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 4520 = 5*k. Let q be k\/10 + (-12)\/30. Calculate the greatest common divisor of q and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 16 = -4*m, 7*m + 9 = f + 2*m. Suppose 4*d - 21 = -f*p + 7, 5*p + 2*d = 20. Find the second derivative of q**3 + p*q**5 + q + 0*q**3 - q**3 wrt q.\nAnswer: 40*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 2*g = -11*z + 2538, -3*g + 846 = z. Which is greater: z or 843?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 18204 - 18861. Is g less than -5259\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-1\/2)\/w)\/(w**(-2\/3)\/w))\/((w**(-1\/3)\/w*w)\/(w*w**(1\/2)*w*w)) assuming w is positive.\nAnswer: w**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1010*b = 342*b - 5344 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 5*j**2 - 17*j - 17. Let m(u) = -u**2 + 1. Let p(a) = 6*m(a) - s(a). Let x(n) = 2*n**2 - 3*n - 4. Let b = 115 + -81. Calculate b*x(i) + 6*p(i).\nAnswer: 2*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111000000011112 + -10?\nAnswer: 111000000011102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**3 - 276*t**2 - 1136*t + 9216.\nAnswer: -4*(t - 4)*(t + 9)*(t + 64)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1862)\/(-6)*(-6 - 0). Suppose -3*k + 25358 = 4*g, 3*g + 4*k - 2*k = 19018. Let q = g - a. Round q to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-1))**39*z\/z**(-2\/9)*z\/(z*z*z**5*z*z)*z)\/((z**(-1))**(-36)\/(z**2*z**(-2\/13)\/z)) assuming z is positive.\nAnswer: z**(4337\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(72) + 5)*6.\nAnswer: 30 + 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**2 + 2695852*v - 1078340.\nAnswer: -(v - 539170)*(5*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 3 = 4*n + 9, 2*n = -5*v - 14 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 47461 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33 - -158. Suppose 5*l - 5*c = d, -4*l - 5*c + 116 - 25 = 0. Solve -5*v + l = 3*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qx when two letters picked without replacement from vqxvqvq?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 + 186830\/3150 + 5\/((-25)\/(-4)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -1 - 3. Let y be -6*p*(-1)\/3. Suppose 2*c - y = 2. Solve a + 4 = c*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = 8*s + 36*s. Let c(b) = 14*b + 3. Let g(o) = 13*o + 4. What is s*g(h) - 4*c(h)?\nAnswer: -17*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 1491*u + 56 - 743*u - 751*u. Determine o(21).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-6))\/((-3)\/(-18)). Let q = h - -20. Let u = 32 - q. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wc when two letters picked without replacement from wwwwccwccwcwww?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -5*l - 1. Suppose 15*h = 233 - 68. Let n(t) = -14*t - 2. Determine h*w(z) - 4*n(z).\nAnswer: z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -271, 3, 0 in decreasing order.\nAnswer: 3, 0, -271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 485692057 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-66)\/(-22) + 35\/(-21). Let u(d) be the first derivative of 0*d**2 + 0*d**4 - 13\/5*d**5 + p*d**3 + 4 + 0*d. Find the third derivative of u(h) wrt h.\nAnswer: -312*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + 26*a**2. Let h be k(-26). Suppose h = -3*m + 110 + 10. Solve 3*w + 5*w = m for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/12 + 1819\/(-102). Let i = 23 + w. Suppose -3*j = i*b - 603, 2*j + 247 + 231 = 4*b. Does 15 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 3442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -6, -40, 2, 0, 3 in ascending order.\nAnswer: -40, -14, -6, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 54*h**3 - h**2 + 7*h - 5. Let w be 6\/24*(-5 + 9). Is v(w) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72102169 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1121102 - -10?\nAnswer: -1121032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -5*j**2 - 2*j + 1. Let c be u(4). Let t be (7\/5 + 1)\/((-1)\/1170*-27). Let g = c + t. Is 3 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -652*o*s**4 - o*s**2 + 191*o*s + 2*o + 2*s**4 - 12*s - 1 wrt s?\nAnswer: -7824*o*s**2 - 2*o + 24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/40 and -71\/2230?\nAnswer: 8920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 6*h - 8 = 0. Solve -h = o - 1 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3789 and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -501 + 509. What is the highest common divisor of m and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1818 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 10 (b) -0.1 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 698 - 698.752. Let c = l + -0.366. Round c to 1 dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 71 = -39. Suppose 2*t = -0*t + 4*a - u, -t = -a + 2. What is the third derivative of -26*l**2 - 33*l**5 + 0 + 32*l**5 + t wrt l?\nAnswer: -60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 l when three letters picked without replacement from tljjjollolollj.\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9 - 9)*(1 + 0). Let n = w + 0. Solve -3*g - 4*p + 3 = 0, -3*g + p - 12 = -n*p for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -399196 * -27.\nAnswer: 10778292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6? (a) 0.1 (b) 28\/3 (c) -23 (d) 0.043\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -673 + 673.25. Let c = -2.8 + 8.05. Let k = r - c. Which is greater: k or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 2*q - 3*q. Let g be q\/75 - 6\/(-15). Which is smaller: g or 1\/4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -14 and -80.74?\nAnswer: 66.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 8*v = -6*v. Let p = -4.27 + -0.83. Let n = p + 5. Which is the third smallest value? (a) 3 (b) v (c) n (d) -0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 1764 = -a. Let t = a + -466. Suppose s = -3*d + t, 3*s + d = 4*s - 404. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -192665437598?\nAnswer: 192665437597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r - 26009*r**3 + 8675*r**3 + 8666*r**3 + 4*r + 8661*r**3.\nAnswer: -7*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4435217*f**4 + 11*f**3 - 436376931 wrt f?\nAnswer: -17740868*f**3 + 33*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 854785537 to the power of 1\/2, to the nearest integer?\nAnswer: 29237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b0 + -293877?\nAnswer: -293967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22939*d**5 + 44218*d?\nAnswer: -458780*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**2 + 0*y**2 + y**2 + 1 - 1 - y**2 + (0 + 2*y + 0)*(0*y + y + y) - 6*y**2 + y**2 + 3*y**2 + (2*y + 0*y - y)*(0*y - 2*y - 3*y).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5*8\/20)\/((-1672)\/(-3971))?\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3195 and 3906.\nAnswer: 1386630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -100 - ((-168 - -94) + 14)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1176 at most as big as 0.54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 792 divided by -1?\nAnswer: -792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (380\/(-160))\/19 - ((-71)\/56 + 0)\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 79*m**2 - 8*m - 679. Give u(-79).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 8:57 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 619*t + 624*t = -347, -2*t = -2*c + 174. What is the greatest common factor of c and 1672?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, j: 1, x: 2, k: 1}. Give prob of sequence vkx.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 5:45 PM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**0*a*a**13\/a)\/(a\/(a\/a**(-2\/7)))**(-14))**(3\/4))**(-1\/3) assuming a is positive.\nAnswer: a**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of 3*w**6\/2 + 5*w**4\/12 + w**3\/3 - 7727*w**2\/2 - w + 2263. What is the derivative of q(p) wrt p?\nAnswer: 180*p**3 + 10*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-160)\/500 + (-2)\/(-5). Let f be 39\/9*14\/91. Is c greater than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/5)\/(k**1*k)*k**(-2\/19)\/(k**(-4\/7)\/k))**(-8) assuming k is positive.\nAnswer: k**(1776\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 2 e, and 1 m when four letters picked without replacement from {m: 5, z: 2, e: 4}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 10:07 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 251137822?\nAnswer: 2, 13, 9659147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -36 + 14 + 14?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 16152 - 0?\nAnswer: 16152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x + 1. Let d(u) = 10*u + 4. Let l(v) = -2*d(v) + 7*g(v). Let o = -48 + 42. Let r be l(o). Let a(n) = -n**2 - 7*n + 3. What is a(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 - 3. Calculate the least common multiple of 14 and d.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -7*f + 6. Determine t(8).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 35365?\nAnswer: -35366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pwpwfwfwwofpajffwwp. What is prob of picking 1 w, 1 f, and 1 p?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6086 - 117?\nAnswer: 5868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 98 - 101. Let q(b) be the first derivative of 2 + 1\/4*b**4 - 3*b + 3\/2*b**2 + 5\/3*b**3. What is q(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.7 at least as big as 276?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*f + f + 0*f)*(-15 - 9 - 5)*(2*f**2 - 2*f**2 - 7*f**2) to o*f**3 + r*f + h*f**2 + s and give o.\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((36\/(-10))\/(84\/105))\/(2\/4).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.1, -5, -2, -4154 in ascending order.\nAnswer: -4154, -5, -2, -0.3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z*z**13)))\/z*z**(-1\/7))\/(z**(-12)\/z**(-2)) assuming z is positive.\nAnswer: z**(160\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(50) + sqrt(500)\/sqrt(10)*1)**2 + -5.\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 105975748 divided by 4?\nAnswer: 26493937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.94 - 0.64. Let z = 4.0775 + -7.369. Let a = s + z. Round a to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.042069158 to 3 dps.\nAnswer: 1.042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13928323 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*j = -2*j - 7*j - 70 for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of 3*r**5\/20 - r**4\/6 - 2*r**3 + 2*r**2 + 107*r. Is s(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 70226.56 grams?\nAnswer: 70226560000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 29 + 101 - (115 - 67)\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -38 - -5?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.006 + -0.106. Suppose 3*m = x + 13, -5 = -4*x + 4*m - 17. Which is smaller: x or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 2*l**2 + 4*l - 1. Let w be u(4). Let v = -33 + w. Is 7 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*i = -99*i + 208 + 248. Let g(v) = 2*v - 2. Let y be g(2). Let k be (-5*(-2)\/y)\/1. Sort i, k, 2 in decreasing order.\nAnswer: k, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 236 + -164. Does 6 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 6, -1, -49, -2.\nAnswer: -49, -2, -1, 3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(11\/(-231)*3*-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5304259 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20*c*j**4 + 2*c*j**3 - 25*c*j + 13*j**4 - j**2 wrt j.\nAnswer: -480*c*j + 12*c + 312*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*d**3 - d + d**2 - d + 10*d**3 + 10*d**4 + 15*d - 12*d**4 in the form n*d**4 + z + p*d + h*d**2 + r*d**3 and give p.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 138.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.8 - 2. Let c = -989243\/8 + 123368. Let o = 287 + c. What is the nearest to 2\/7 in 2\/7, o, w?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a and 1 s when four letters picked without replacement from {s: 16, a: 4}.\nAnswer: 64\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -45227560, -90455119, -135682678, -180910237, -226137796?\n\"Answer: -45227559*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 12 = 5*m. Suppose 0 = 2*n - m*n + 4*x + 42, -n - 2 = 4*x. Suppose 2*c - 22 = r + r, 2*r - 8 = 0. Calculate the remainder when c is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5096113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -4 + 3*172295\/135 + (-2)\/(-9).\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 19. Let p(z) = z**3 - 13*z**2 - 15*z + 12. Let l be p(j). What is the common denominator of ((819\/(-15))\/3)\/l and -25\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -7*q - 4. Let d(u) = -u**3 + u**2 + 3. Let j be d(0). Suppose j*t - 82 = -67. Let w(h) = 6*h + 3. What is t*s(z) + 6*w(z)?\nAnswer: z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {s: 2, u: 3, z: 5}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/17 (b) 2\/5 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = 26253 - 6590. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-3) + 55\/(-33))*22\/(-7777). What is the nearest to h in 2, 5, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -z + 5, -z - 3 = -2*c + 3*c. Suppose -5*b - q - 59 = -194, 46 = 2*b + c*q. Let k = 20 + -5. What is the remainder when b is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 21*t**2 + 7*t - 7. Let w(z) = -10*z**2 - 3*z + 3. Let g(i) = 3*n(i) + 7*w(i). Let m(b) = b. Determine m(g(c)).\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 652\/96 - (23 - 16). Let l be (2\/9)\/(80\/255). Let w = l + o. Is 0.4 greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = 8*q - 6. Suppose -2*u - q = -3*u. Is -2 at least u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -9*f**2\/2 + 3*f + 2. Let l be h(-6). Is 21 a factor of l + (-9)\/(-3) + 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m - 12 = -10*m. Suppose -m*s + 171 = -0*s. Let x = -12 + s. Does 9 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -511*d**2 + 2*d - 4. Let r(c) = 1023*c**2 - 5*c + 10. Determine -10*g(b) - 4*r(b).\nAnswer: 1018*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6}. What is prob of sequence iiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -0.3 (b) 2\/11 (c) -3 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((16\/(-7))\/8)\/((-5)\/70)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*b = 102*b + 5. Suppose 0 = -b*f + n + 14, f - 2*f = -n - 6. Solve 0 = -c - 0 + f for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 - -35. Suppose -5 = -4*t + 3. Suppose 0 = t*o + y - 2 - 0, 0 = -o + 5*y - 10. Solve -q = -o*l + 3*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, a: 8, s: 2}. Give prob of picking 2 g and 1 a.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3459 - -0.3?\nAnswer: 3459.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 2, 25.\nAnswer: -5, -3, 2, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60310, 60343, 60392, 60463, 60562, 60695?\nAnswer: 60868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7767 + 4751. Let p = k + -6142. Suppose -6309 + 1510 = -3*n - 2*b, -4*n = -3*b - p. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**3*h)**(-17)*(h\/h**0)**(3\/11))**(-6\/11) assuming h is positive.\nAnswer: h**(4470\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 10*j**2 - 4*j + 2. Let a be l(3). Let x = 83 - a. Suppose 5*f - 735 = 5*g, f - x*g - 583 = -3*f. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1221122220120 (base 3) to base 2\nAnswer: 11111101000100011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + (70\/25)\/((-14)\/(-35)). Find the second derivative of 62*x**2 + x**g - 357 + x - 5*x**3 + 356 + 3*x**3 wrt x.\nAnswer: -6*x + 124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 10*c + 45. Let k(n) = 2*n + 9. What is 2*f(p) - 11*k(p)?\nAnswer: -2*p - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 28*o**3 + 29*o. Let q(g) = 111*g**3 + 117*g. Let c(v) = 9*j(v) - 2*q(v). What is the second derivative of c(a) wrt a?\nAnswer: 180*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-4)\/(((-52)\/117)\/((-2)\/3)))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-468*w - 513 + 258 + 140*w + 254)*(-7 - 1 - 23)*(0 + 4 - 3) as z*w + p and give p.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of 19 + 0*t**3 + 0*t**2 - 1\/30*t**6 + 0*t**5 + 0*t + 1\/20*t**4. What is x in h(x) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3*k - 13680 = i, 3*i + 4*k + 13675 = 0. Let q = 36601\/8 + i. Let f = -292\/5 - -4527\/80. Calculate the common denominator of q and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*l**2 + 6*l**2 - 14*l**2 + 5 + 6*l**2 to the form w*l + y*l**2 + g and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53054 to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (72\/10)\/(-2)*77740\/(-10764).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 bigger than -22275447?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 7*d**2 - 36*d + 54. Let y(q) = 7*q**2 - 38*q + 46. What is -6*k(s) + 7*y(s)?\nAnswer: 7*s**2 - 50*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h**3 - 24*h**2 + 114*h - 10. Calculate the least common multiple of t(5) and 115.\nAnswer: 7705","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wll when three letters picked without replacement from llwl.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 307.95 and -0.6.\nAnswer: -184.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/412117 or 35\/4?\nAnswer: 35\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzzz when four letters picked without replacement from zaazazazaazazqwz.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33 and 2277?\nAnswer: 2277","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -11 + 54\/(-81)*(-18)\/4. Sort -3, 0, l, 2 in decreasing order.\nAnswer: 2, 0, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 26077*q**3 + 2*q**4 - 2 - 26076*q**3 + 128*q in the form n*q**2 + d + j*q**4 + p*q + w*q**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80 and 146760?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 2159820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of -q**4\/6 - 5*q**3\/9 - 2*q**2\/3 - q\/3 + 12. Factor b(z).\nAnswer: -(z + 1)**2*(2*z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-1\/24))\/(l\/l**(-6\/23)*l)*(l\/(l*l**(-3\/20))*l)\/l**24 assuming l is positive.\nAnswer: l**(-66431\/2760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1667, -3182, -4313, -4868, -4655, -3482?\nAnswer: -1157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*b = -3 - 35. Suppose -h - 3 = b, -3*c - 13 = 5*h. Solve -7*m - c = -11 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 907.0391 nanograms?\nAnswer: 0.0000009070391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 825820 and 2893.\nAnswer: 9084020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*c = -4*c - 232 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 861245.\nAnswer: 5, 7, 11, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6914*r + 8391*r + 120450 = 48077 for r.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20844 is divided by 1045.\nAnswer: 989","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 10*u + 35. Let n(z) = z + 4. Give -4*i(h) + 35*n(h).\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3512 + 1192 = 5*c. Let j = -4621\/10 - c. Find the common denominator of j and -39\/11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**2 + 2*o - 2. Let q be g(-2). Suppose 5 + 1 = q*l. Let w be 0 - (1 - l\/5). Which is the second smallest value? (a) w (b) 3\/2 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-24)*w*w**26 assuming w is positive.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.59319066359 - 1.59319. Round c to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -170170 to the nearest one thousand.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 752\/18 - (-2)\/9. Suppose -2*u + 2*w + l = 0, -4*w + 123 = 5*u - 0*u. Suppose -2*q = 5*f - u, -4*q = q + f - 23. Solve 2*r + 6 + q = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3561334101?\nAnswer: 3, 13, 37, 274223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is a90d94 (base 16) in base 9?\nAnswer: 22755546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.01 - -43.01. Let k = w - 42.4. Which is the closest to 0.1? (a) -6 (b) -2\/9 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - n - 7. Suppose 0 = 12*z + 10*z + 330. Suppose 0 = -3*q - q + 60. Let j = z + q. Give b(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/4)\/(365\/(-584))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 738535, 1477062, 2215589, 2954116, 3692643, 4431170?\n\"Answer: 738527*o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 5*v**3 + 4*v**2 + v - 6. Let l be j(-2). Let t be (-72)\/l + (0 - 2). Let o be (-2)\/(-17) + -2 + 2. Which is bigger: t or o?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*d - 5*x + 53, 11 = 2*d - x. Suppose d*g = 162 + 48. Calculate the remainder when 119 is divided by g.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -16, 10, 74, 194, 388, 674?\n\"Answer: 3*l**3 + l**2 + 2*l - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 + 2.38289.\nAnswer: 7.38289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from {w: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 6a (base 16) to base 10\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (51 + -21)\/((-3)\/(-2)). Let l be a\/60 + 94\/6. Calculate the greatest common divisor of 64 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 216*-1180\nAnswer: -254880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(700)*-2)**2 + 3.\nAnswer: 2803","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -339018591*l**2*n*r - l*n*r - 5*l + 4*n*r - 3*n + 2035*r - 4 wrt l?\nAnswer: -678037182*n*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*o**4 + o**4 + 2*o**4 + (4*o - 3*o + 0*o)*(-4*o**3 + 3*o**3 + 2*o**3) + 2*o**4 - 3*o**4 + 3*o**4 + (o**2 - o**2 + 2*o**2)*(0*o**2 - 5*o**2 + 2*o**2).\nAnswer: -4*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 + 4 - 51 - -52.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u + 8996 - 9000 + 4*u - 5*u**2 - 5*u**2 + 5*u**2.\nAnswer: -5*u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 207*q - 212*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 928*z - 8670 = 8962 for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36.19 - 36. Let w = 0.19 - l. Put w, -3, 1\/4 in decreasing order.\nAnswer: 1\/4, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-15) + -1)*10\/(-280)*-6.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-7\/6)\/(y*(y**(7\/3)\/y*y*y)\/y)*y*y**(-1\/7)\/y*y*y*y*y**(-1\/2)*y assuming y is positive.\nAnswer: y**(-8\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 divided by 840.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4782673212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1412121725 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -10.225*-0.3\nAnswer: 3.0675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ufguuuuuppgppg. Give prob of sequence gup.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + 12*b**2 + 6*b + 26. Let n be p(12). What is the highest common factor of 2 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1007930 and 3060?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -812 + 814. Find the second derivative of 1425 + 30*x**2 - 1454 - y*x**3 + x + 64*x**2 wrt x.\nAnswer: -12*x + 188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*u - 3*u - 2*u + 1 - 2*u**2)*(-7*u**2 - 15*u**2 - 15*u**2).\nAnswer: 74*u**4 - 111*u**3 - 37*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -357807 or -0.232?\nAnswer: -357807","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.1*176.\nAnswer: -193.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -62 - -68. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 7. Suppose -2*b + 6 + j = -c, 0 = 5*b + 2*c - 27. Is 5 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -n + 640, -4*m = -2*n - 3955 + 1419. Suppose t + m = 5*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o**2\/3 - 12892*o\/3 + 41550916\/3 = 0. Calculate o.\nAnswer: 6446","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2*m + m = 108, -5*m + 216 = 4*s. Is s a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 17 - (-2 - (4 - 7)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 8*o**2 + 30*o - 158. What is q(10)?\nAnswer: 942","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2099\/7 - 38783\/126. Let l = -5683\/1125 - -7\/4500. Find the common denominator of b and l.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - 0 - (-14 - (-4 + 0)). Suppose -t*o + 3783 = 1183. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (24\/(-14))\/((-5)\/(2306885\/(-6920636)) - 15)?\nAnswer: 2, 3, 3469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 + 2041*z + 351697. Give f(-190).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**3 - 124*g + 325*g - 139*g.\nAnswer: -2*g**3 + 62*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -278196060 divided by -30.\nAnswer: 9273202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144) - 5*2*sqrt(144) - sqrt(144) - sqrt(144))\/(sqrt(8) - (1*sqrt(8) + sqrt(8))*2))\/((sqrt(96)\/sqrt(2)*4)\/(6*sqrt(24)\/sqrt(3))).\nAnswer: 11*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1343438443 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 147 and 16598211.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 41 + -44.2. Let d = -3.19999872 - w. What is d rounded to seven decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011110 + 1000100001?\nAnswer: 1010111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 72950 = -5*l + r, r + 14584 = -l. Let g = l - -20670. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(21)\/(sqrt(28)*3).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*u, -3*x + 880 + 3489 = 4*u. List the prime factors of x.\nAnswer: 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -19\/89 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1325694 is divided by 21032.\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 22696 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b**2 - 9*b - 5. Let v be t(-5). What is the common denominator of -19\/29 and 628\/42 - 0 - (-10)\/v?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3894 is divided by 111.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -144911331 smaller than -144911331?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -939 - -933. What is the second smallest value in s, 6, 0, -2, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 457*g + 10. Let a(h) = 3477*h + 76. Let k(q) = -5*a(q) + 38*z(q). Let r(v) be the second derivative of v**3\/6 - 2*v. Calculate k(r(o)).\nAnswer: -19*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - (-7 + 7)) + -23.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3644618 (base 9) to base 5.\nAnswer: 1001301110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4197 - 4144. Solve 52 + r = -35*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -111.3 + 111. Which is the closest to 0? (a) 5 (b) 10 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (38 + 5 - 74) + 16?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - 1. Let x(u) = 17*u**3 + 0*u**2 + 3*u + 11 - u - u**2 + 2*u. Let v(t) = -2*o(t) - x(t). Is v(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 34326, 1\/3, -1\/18?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*l = -0 - 9 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.571, 2\/5, -0.1 in ascending order.\nAnswer: -0.1, 2\/5, 3.571","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17700258703 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 24*q**2. Let f(u) = -7*u**2 + 11*u**2 - 5*u**2. Give f(y(r)).\nAnswer: -576*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/32 and -91\/184.\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 25850 + -10221?\nAnswer: 15628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/25 + -1)*(-10)\/18?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -10210421102?\nAnswer: -10210421101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b + 2. Let i(k) = -2*k - 3. Let c(z) = 3*h(z) + 2*i(z). Let y(l) = 2*l. Determine c(y(v)).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/5, 4186, -5.7?\nAnswer: -5.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7*8\/(-168))\/(-1)*(-6)\/16?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6469 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) + sqrt(204)*-1)*3)\/(-5*(sqrt(12)*-1 - sqrt(12)) - sqrt(12)) - 1*((-5*sqrt(425) - sqrt(17)) + -4)**2.\nAnswer: -11508 - 208*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1006652991*s**4 + 48605246?\nAnswer: -4026611964*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = 4*c - 2*i, 3*c = -i - i - 47. Let m = c - -22. Suppose t - m = u, 2*t - 4*u - 20 = -0*u. Solve -r + 3 = -2*z, -5*z = r + 4 - t for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.017 and 9905 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kee when three letters picked without replacement from rrmrkkrekkrrrrrer?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/327 + -80\/1199. Let i = -960 + 975. Suppose -3*a + 3*n + 2*n = i, -3 = -4*a - n. Is p bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o\/(o\/(o\/o**(2\/15))))))\/o*o**(-10))\/(o\/((o**(-1\/4)*o)\/o))**15 assuming o is positive.\nAnswer: o**(-1733\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 0*g + g)*(-2*g**2 + 0 + 0) - 3*g**3 + 0*g**3 + 2*g**3 + 11 - 4*g**3 - 11.\nAnswer: -9*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -10 + 5. Suppose 4*l + 3*d - 4*d = 72, 115 = w*l + 5*d. Calculate the remainder when 70 is divided by l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92094*v - 184228*v + 92140*v - 3*v**2.\nAnswer: -3*v**2 + 6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2\/17, -180, 0.5 in ascending order.\nAnswer: -180, -2\/17, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.904407 milligrams in nanograms?\nAnswer: 4904407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 704 + -4954\/7. Find the common denominator of g and ((-1265)\/(-92) - 7) + (-2)\/8 - 0.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12610 greater than -200?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d - 12873. Let m(t) = 3*t. Calculate m(f(i)).\nAnswer: 3*i - 38619","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2 = -4, -4*i = -5*o - 1177. Put -2, o, 3 in descending order.\nAnswer: 3, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 5415\nAnswer: -4\/5415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 611 and 141?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 3 (c) 28 (d) -3\/53\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of 3*g**7\/70 - g**3\/6 + 14*g**2. Differentiate u(d) wrt d.\nAnswer: 36*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*l + 16*l - 2*d - 21 = 0, -5*l = -4*d - 47 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 1. Let s(d) = -3*d**2 + 2. Let w = 35 + -32. Suppose 4 - 2 = a + b, 0 = w*b - 12. Let o be (a - (-10)\/4)*8. Give o*j(u) - s(u).\nAnswer: -u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.351 (b) 2 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 11*f - 13*f. What are the prime factors of (4\/6)\/(f\/(-294))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3417921?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -264 + 265. Which is the biggest value? (a) 2 (b) -1\/5 (c) 7 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-17 - -20) + (-69)\/(-13). Let r = m - 106\/13. Let u be 2\/(-9) + (-55)\/(-45). Which is the fourth biggest value? (a) -0.3 (b) r (c) -2\/7 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 15) to base 5\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + o - 1. Let f(l) = l**3 + 5*l**2 + 2*l - 3. Let w(g) = -6*d(g) + f(g). What is w(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (90*6\/(-42))\/(2 - 1499\/749)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4220 and 160?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by 135\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*b = -52*b. Solve -6*a + a - 25 = b for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194 = -16*g + 14*g + 3*a, 3*g = -4*a + 257. Let r(f) = 4*f**2 + 4*f - 2. Calculate the remainder when g is divided by r(3).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*b - 3*b + 14*b - 2*b**3 + (-b**2 + 3*b**2 - 3*b**2)*(b + b - 4*b) + 10*b**3 - 6*b**3 - 16*b**3.\nAnswer: -12*b**3 + 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 - 8*r**2 - 29*r**2 + 23.\nAnswer: -37*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -576*t**2 + 18 + 11 - 32 + 6. Let v(i) = -2*i**2. Determine v(o(u)).\nAnswer: -663552*u**4 + 6912*u**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.7 - 5. Let o = m + -0.3. Let y = 101.7 - 106.7. Which is the nearest to 0.2? (a) y (b) o (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15606 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -14\/11, -0.06, 1?\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (0 - -15) + 173 + -90?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 2:45 PM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -14*i**3 + 9*i**2 - 32*i + 106. Calculate k(4).\nAnswer: -774","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1471125, -2942245, -4413365, -5884485?\nAnswer: -7355605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 2*r**2 - 3*r - 2. Let n(j) be the third derivative of j**6\/120 - j**5\/30 + j**4\/8 + j**3\/2 + 8*j**2. Calculate -2*n(s) - 3*v(s).\nAnswer: s**3 - 2*s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in -455, 147, 0.5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.3 (b) 1 (c) 0.4 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 50229, 50231, 50233, 50235, 50237, 50239?\n\"Answer: 2*r + 50227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -7?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -120*p**2 - 52*p + 52. Let g(a) = -9*a**2 + 21*a**2 - 2*a**2 - 3*a**2 + 3*a - 3. What is -104*g(q) - 6*m(q)?\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -240, -518, -782, -1026, -1244, -1430, -1578?\nAnswer: -1682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1328a (base 11) to base 16\nAnswer: -4a1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 119 - (19 + -49 + 5) - (2 + 22)?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -6*a + 2*h + 16, 0 = a - 2*h - 8. Let d(i) = -2*i - i**a - 2*i + 6 + 3*i**2. What is the remainder when d(7) is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18415 is divided by 5007.\nAnswer: 3394","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of 2*s**4\/3 + 15*s**3 - 2*s**2. Let r(j) = -3*j - 18. Let o(l) = -2*m(l) - 11*r(l). What is the tens digit of o(16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) - 1*sqrt(65)*1)*-3*1)\/(((sqrt(320) - 2*sqrt(320))\/sqrt(8))\/(sqrt(200)*1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4956 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 271 - 270.6. Which is the third smallest value? (a) r (b) -3\/5 (c) 3 (d) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.37089 in -2\/11, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-252)\/(-126)*(-88)\/112?\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 v when two letters picked without replacement from {n: 2, v: 6, l: 3, x: 3, o: 4}.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14ad (base 16) to base 13.\nAnswer: -2542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**16*i\/(i*i*i**13) assuming i is positive.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -r**2*u - 12*r**2 + 48*r*u - 119*r + 57413*u - 3 wrt r.\nAnswer: -2*r*u - 24*r + 48*u - 119","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25904*h**3 - 129542*h**2 - 155534*h - 132 = 0. What is h?\nAnswer: -3, -2, -11\/12952","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000227567688 rounded to five dps?\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -609 + 611. Let c(n) = -2 + n**2 + t*n**2 + 3 - 4 - 4*n + 5. What is c(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*k = -144*k + 129*k - 8399 - 6391 for k.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -5*k + 172, -u - 4*k + 46 = 254. Suppose 23*d - 24*d = -2*f - 233, -f + 4*d - 120 = 0. Let c = f - u. List the prime factors of c.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*a**4*y**2 - a**4 + 16*a**3*y - a**3 + 640*a**2*y**2 + a**2 + 21*a*y - y wrt a?\nAnswer: -192*a*y**2 - 24*a + 96*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w + 1. Let p(m) = m + 3. Suppose -2*r - 16 = 2*r. Let q be (10\/(-4))\/((-2)\/4). Suppose 0 = -q*z + 3 + 7. Give r*d(s) + z*p(s).\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6*(-1)\/2 - (-1694 + 1) is divided by 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v - 4. Suppose a - 8 = 2*q, -4*a + 2 = -3*a. Let y be 5 - (0 + 0\/q). Determine n(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 363257?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -1428*b**2 + 27440*b - 4. Let f(g) = 3*g**2. What is r(f(w))?\nAnswer: -12852*w**4 + 82320*w**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/2)\/(148\/(-2442)*33)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - 6*a - 1. Let t(s) = -5*s**2 + 25*s + 4. Suppose -49*v + 10 = -88. Give v*t(c) + 9*i(c).\nAnswer: -c**2 - 4*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -28. Let v = 82 + c. List the prime factors of 1\/(-3*(-2)\/v).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -144356583 or 1?\nAnswer: -144356583","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -793977370 divided by 2?\nAnswer: -396988685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, -4, 55 in ascending order.\nAnswer: -4, 2, 5, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -329*t + 234 = -89*t - 246. Solve -t*o + 6 = 0, -4*q - 3*o = 38 - 43 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212 a factor of 11138016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7846?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 203*r - 94 + 94 + (1 - 1 + 1)*(-5 + 5 - r) + 0*r - 3*r + 5*r as g*r + f and give g.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 158*x**2 - 1349*x + 78. What is g(-9)?\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -16, 2*h - 3*h = q - 164. Let u = 175 - h. Solve 0 = -2*r - 3*r - 5*n - u, -3*r + 4*n = -26 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -6*i - 5*g + 76, 4*i - g = 130. Solve 13*j + 32 = -i for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -57 + 64. Let c = 17 - w. Let y = 7.6 - c. What is the biggest value in y, 1\/3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 4*w**2 + 24*w + 18. Let r be a(-5). Sort r, 13, -3, -7 in decreasing order.\nAnswer: 13, r, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*279861\nAnswer: 83958.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from oowwoowwwowoow?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 8. Let y(o) = 2*o + 8. Let z be y(g). Suppose 2*v - z = 10. Is v a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -23b47 + -8?\nAnswer: -23b50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + 24. Let p be -5 + (-3)\/18 + 51\/(-18). Let m = g + p. List the prime factors of m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1769?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*f*i*u**2*x - 9*f*i*u**2 - f*i*x - 61*f*u - 139*f*x + 53*i wrt u.\nAnswer: 8*f*i*u*x - 18*f*i*u - 61*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2574)\/5445*(-88)\/16)\/(((-9)\/(-105))\/(-3))?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u + 4. Let t be z(2). Suppose t*n - 103 = 3. Let q = 98 - n. What is the greatest common factor of 30 and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1412000 to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -537*l - 32800. Determine f(-60).\nAnswer: -580","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -109278 by 3.\nAnswer: -36426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-5)\/(15\/2))\/1. Let v = 0.01 - -0.99. Which is the third smallest value? (a) y (b) v (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 872*p - 872*p + 390*p**2 as a*p**2 + q*p + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 4*b - 8, 5*b - 24 = 2*l - l. Factor 2*g**2 + b*g**3 + 0*g**2 - 2*g**3.\nAnswer: 2*g**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 446*p + 187*p = 7550 + 46 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -1809*h**5\/5 + 29*h**2\/2 + 83*h + 2430. Find the second derivative of a(w) wrt w.\nAnswer: -21708*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 195*p**2 + 4*p - 2. Let c be u(1). Let o(y) = y - c + 197. Let t(f) = -4*f**2 + 5*f. What is t(o(d))?\nAnswer: -4*d**2 + 5*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*j + 60*j + 353755 = -2285. List the prime factors of j.\nAnswer: 2, 3, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 1. Let z = -2.969 - 0.031. Which is the closest to -1? (a) -5 (b) z (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-4)*488\/(-305).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.5002469 millilitres?\nAnswer: 0.0005002469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -185.5 - -0.5. Let i = -180.84 - u. Let s = 5 - i. Round s to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 1:02 PM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1460 + 1463. Let a(o) be the third derivative of -1\/24*o**4 + 0*o + 10*o**2 + 0 - 7\/6*o**n. What is a(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 0*i - 5*i = -0*i - 35, -20*i - 658 = -2*s - 113*i - 73*i for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 7*p**2 - 5*p - 8. Calculate k(8).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27768380 rounded to the nearest one million?\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 8:59 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -15*f - 41. What is the units digit of w(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in 0.3, -3\/8, 6\/19?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 - -79. Suppose 5*w = -5*z + 20, -3*z + 2*w = z - k. Suppose -4 - 4 = -c. Which is bigger: c or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6448*x + 3102*x + 79334 + 140316 for x.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-7)*8\/128*-4. Sort 2\/11, 7\/8, x in descending order.\nAnswer: 7\/8, 2\/11, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37481298937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9280620 by 16455.\nAnswer: 564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -33, 13, 91, 201, 343, 517, 723?\n\"Answer: 16*z**2 - 2*z - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 25 + 421500005?\nAnswer: 421500033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 7*x + 410. Let h be q(17). Solve 0 = h*d - 4*n + 6, 3*n = d + 5 - 3 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 78*i**2 + 5240*i + 328. What is v(-68)?\nAnswer: 4680","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-49)\/(-7)*(-6)\/(-26)*2\/3.\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 431, 509 in descending order.\nAnswer: 509, 431, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 10.7594 * -440\nAnswer: -4734.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -67.58 - -3.58. Let i = x - -64.009. Which is greater: i or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 896 and 18688?\nAnswer: 130816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 11 and -0.3105.\nAnswer: 10.6895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24036124?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9266324 divided by 2.\nAnswer: 4633162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l + 1260 = 25*l. Solve -l*b = -39*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + -88 + (-19 - -74)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2039 - 3679711.\nAnswer: -3679711.2039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -15*l + 34. Let m be s(2). Suppose -3*p = 6, -90 = -2*d + m*p - 34. Calculate the lowest common multiple of 18 and d.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*h = -12*h - 1110. Suppose 0 = -5*p - w + h, 8 = -2*w + 2. What are the prime factors of p?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*w**2 - 7472*w + 7468 = 0. What is w?\nAnswer: 1, 1867","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (6 + -12 - -5) - -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 6*l - 18. Let m = 70 + -42. What is the smallest common multiple of l and (m\/12 - 1)*3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -534 (base 9) in base 6?\nAnswer: -2004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6813.51 - 512.31. Round q to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48197491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (30\/12)\/(15\/(-12)). Let n be 10\/o - 2368\/(-464). Which is the second biggest value? (a) -2 (b) n (c) -2\/7 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -5*w + 21 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101110100 - 11010111011?\nAnswer: -101000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*((-5)\/(-3))\/(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 263, 1094, 2487, 4448, 6983, 10098?\nAnswer: 13799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 4134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ko when two letters picked without replacement from kbqoa?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*w**4 - 271*w**3 - 231*w**2 + 46*w = 0. What is w?\nAnswer: -1, 0, 1\/6, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**2 + 11*u - 4. Let k be l(-6). Suppose 3*y - 57 = k*y. Suppose 0 = 3*q - 6*q + y. Calculate the remainder when 54 is divided by q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2948530 and 351130?\nAnswer: 4810","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1429\/2 + 716. Let z = -0.06 - -0.56. What is the second biggest value in -3, 5, k, z?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.281 take away 2822644?\nAnswer: -2822643.719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 264167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10\/(-8)*4)\/(-1). Let s be ((-30)\/(-75) + 2\/5)*d. Factor 0*k + 1\/2*k**2 - 9\/4*k**5 + 5*k**s + 0 - 13\/4*k**3.\nAnswer: -k**2*(k - 1)**2*(9*k - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 331104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p**3 - 3*p**2 + 3. Let n = 22 - 18. Suppose 5 = -n*l + 9. Let y be -4*1\/l - -7. Let k(x) = 2*x**3 + 2*x**2 - 2. Give y*k(f) + 2*t(f).\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 240252271 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*w**3 + 4*w**2 - 4*w**2)*(-26 - 7 + 4) - 2*w**3 + 4*w**3 + 0*w**3 - 17*w**3 + 3*w**3 - 14*w**3 to m*w**3 + n*w**2 + g*w + c and give m.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 570626 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 15879 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: Suppose -5*k = 3*z - 118, 0 = -5*z - 3*k - k + 201. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.713 rounded to one decimal place?\nAnswer: 5.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 2)*(-3 + 9 + 2)*(-19*q + 115*q + 4 - 4*q) to the form u*q + r and give r.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4*p = -15. Suppose 4*w + 18 = -s + 3*s, p*w + 45 = -5*s. Let t = 5 - w. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -19448.869?\nAnswer: -19448.869","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a - 13*a + 3*a - 16*a.\nAnswer: -29*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 11:20 PM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 1 + 0)*(5 - 2 - 1) - 62 - 32 + 33)*(-1 + 2*d + 1) + (-4 + 5 - 2)*(-2 - d + 2).\nAnswer: -125*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 33519 to the power of 1\/2, to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 519 + 77. What is the hundreds digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 2*m - 20. Let h(f) = f**2 - 3*f + 2. Let d be h(2). Let i = 2 - d. Solve 7*z = i*z + m for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31231 - 1?\nAnswer: -31232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 14 = 2*w + j, 0 = j - 3. Let a = 93 - 87. Solve 0 = -2*b - 3*p + 12, 5*b - 5*p = -w + a for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 21*(-1)\/(-3) - 2. Let n(a) = a - 1. Let u = -1 + 2. Let l be n(u). Solve -3*i + l*x + 2*x = 5, -4*i = -3*x + r for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 9:46 AM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 10 = 0, 4*g + 4 + 2 = 3*q. What is the nearest to 0.1 in -2\/7, -2\/5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4539 - -4543. Solve -t + 2*c = 12, m*t - 5*c + 24 + 9 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2586 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*m - 2. Let u = m - -5. Let h be (u\/(-9))\/((-2)\/24). What is the highest common factor of 12 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(3*1*sqrt(88))\/((sqrt(72)*-2 + sqrt(72) - sqrt(72)) + sqrt(8)))**2.\nAnswer: 1584\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -561, -1127, -1693, -2259, -2825?\n\"Answer: -566*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 6*x**3 - 2*x + 4. Let a = -27 + 35. Suppose 5*w = -5*z + 30, w = -4*z + z + a. Let k(q) = q**3 - q + 1. Determine z*s(b) - 4*k(b).\nAnswer: 2*b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k - 144*k + 20664 = 148*k + 70*k for k.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 9*n**2 + 15*n + 24. Let j be q(-4). Suppose 4*l - 4 = -4*i, 5*l - 18 = -i - 1. Put 5, j, i, 0 in descending order.\nAnswer: j, 5, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*b + 40*b - 19*b + 201 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165 = -3*k - 6. Let u = k + -53. Solve 2*l + 6 = -u for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4180, 8354, 12526, 16696, 20864, 25030, 29194?\n\"Answer: -j**2 + 4177*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x - 171090 - 676036 = 0. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7328)\/(-21) - (-11)\/33. Let w = l + -349. Which is the closest to 0.2? (a) -3\/5 (b) w (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152262?\nAnswer: 2, 3, 11, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18489 is divided by 3697?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**2. Let i(g) = -g**2 - 4. Let v(c) be the first derivative of -2*c**3\/3 - 7*c + 5. Let a(z) = -7*i(z) + 4*v(z). Calculate h(a(y)).\nAnswer: -2*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/203971002 and -103\/108?\nAnswer: 3671478036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 7*d**2 - 108*d + 221 = 0?\nAnswer: 17\/7, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2*h**2 + 4*h**2 - 15*h**2 - 1 to u*h**2 + b + i*h and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + 0 + 6\/(-2). Let k(g) = -g - 1. Let w(v) = 9*v + 3. What is c*w(d) - 5*k(d)?\nAnswer: -4*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 65417 = 2*d + 65430, -3*o - 3*d - d + 19 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -36272.79 rounded to the nearest one thousand?\nAnswer: -36000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -642*l + 3251*l**2 + 7495 - 1626*l**2 - 410*l - 1622*l**2 wrt l.\nAnswer: 6*l - 1052","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*o**6 - 1527584*o**4 + 2*o**3 + 1338*o**2 - 372?\nAnswer: -240*o**3 - 36662016*o + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 2)*(342*t**3 - 951*t**3 + 335*t**3) in the form z + r*t + o*t**3 + y*t**2 and give o.\nAnswer: -548","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 m when three letters picked without replacement from cmimvomimiiiccmcmcic?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3356523 and -0.3.\nAnswer: 3356522.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -12*l - 71. Let h be n(-8). Is h >= 25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 22*f + 41*f - 17*f + 2*f**2 to w + q*f**2 + h*f and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -0*v + g + 132, -12 = -4*g. Let u be 144\/v*(-9)\/(-12). Solve h = -h - u for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of -c**6\/120 + c**5\/60 - 7*c**2 - 2. Solve m(w) = 0 for w.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2ab20 (base 13) in base 6?\nAnswer: -1422521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b - 9. Let q be g(-9). Let t be (-1)\/2 + 46\/92. Is q not equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (10 - 0) + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -1\/3 (b) -0.1 (c) -1\/6 (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1909 + -1906. Solve x = n + 5*m - 3*m, -3*n = 4*m - 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -4*n**3 - 3*n - 7. Let v(m) = -5*m**3 - 4*m - 8. Determine -6*d(y) + 5*v(y).\nAnswer: -y**3 - 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**3\/7 + 176415*c**2\/7 - 705696*c\/7 + 705708\/7 = 0. What is c?\nAnswer: -58809, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -60 + 61. Let j(t) = -5*t**2 + t + 2*t**3 + 4*t**2 + 0*t**2. Let d be j(1). Calculate the highest common factor of d and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 20 + 0 = -x, 4*x = 4*i - 40 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30*(-11)\/132*3\/20?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -819*t - 436*t**3 + 1642*t + 4*t**2 - 4*t**2 - 824*t to the form n*t + x*t**3 + f + s*t**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) -6 (c) 0.4 (d) -2\/3 (e) -0.17 (f) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1)\/(-2))\/(2\/216).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - -161?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7499314 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in 1, -1, -0.37, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31 - -51. Suppose q = 4*w + 2*q - 11, 0 = 5*w + 3*q - 19. Suppose w*x = 54 - v. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2400\/(-3330) + (-2)\/(-37). Which is the closest to -2? (a) -5\/6 (b) k (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127 = 9*q - 658. Let n = -56 + q. Suppose -u = -n*u + 60. What is the lowest common multiple of u and 9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of 11*h**3\/6 - 43*h - 4. Let j(z) = 2*z**2 + 2*z. Let g(q) = -2 + 2 + 5*q - 6*q. Let c(w) = -2*g(w) - j(w). Give c(u(r)).\nAnswer: -242*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of d**3\/6 + 221*d. Let k(m) = 1976*m + 209. Let f(i) = 19*i + 2. Let u(a) = -418*f(a) + 4*k(a). What is g(u(b))?\nAnswer: -38*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -28*g**3 + 2*g**2 - 1. Let q(x) = 7*x + 118. Let o be q(-17). Determine p(o).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 PM and 4:30 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 28*l + 3. Let j be y(1). Let x = 49 - j. What is the highest common factor of x and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + 40*g - 74. Let h be o(2). Suppose 4 = 4*v - 8. Solve p + 5*i = h*i, 2*p = v*i for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, -2\/19, -3\/2, -0.5, -0.05 in descending order.\nAnswer: 3\/2, -0.05, -2\/19, -0.5, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -52704 divided by 13176\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -5*w - 4*d, -2005*w = -2001*w + 13*d + 14 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -9480 - 9652. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -4*c**4 - 162*c**3 + 1002*c**2 - 460*c = 0.\nAnswer: -46, 0, 1\/2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 5*n**2 + n + 6. Let a = 9 - -9. Suppose -2 = -4*l + a. Let s be z(l). What is the greatest common divisor of s and 66?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 13*h - 2. Let n(x) = -12*x + 1. Determine 5*l(i) + 6*n(i).\nAnswer: -7*i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 - 4)*(-4*t**3 + 4*t**3 - t**3) + (-3*t**2 + t**2 + t**2)*(-3*t + t - t) to the form f + d*t**3 + h*t**2 + r*t and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 56*k - 173 = 94*k - 22*k, -239 = 5*m + 2*k for m.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 713 or 617?\nAnswer: 713","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ujjjdjwjujdjccjcdwj. What is prob of picking 2 j and 1 w?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3326146666?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.5288 + 27.\nAnswer: 25.4712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.97 + -2.97. Sort 6, v, 5 in descending order.\nAnswer: 6, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*(n**(-2)*n)\/n)**(3\/16)*n*n**4*n*n*n\/(n*n**(2\/25)) assuming n is positive.\nAnswer: n**(173\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -67885.4521 + 67895. What is u rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -813, -728, -643, -558?\nAnswer: -473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/2 - (306\/(-40))\/(12\/(-8)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -860*c**3*w - 7*c**3 - 4016*w + 1 wrt c?\nAnswer: -2580*c**2*w - 21*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -45, -95, -183, -321, -521, -795, -1155?\nAnswer: -1613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 16 (b) 0.5 (c) -58 (d) 157\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -369*g**2 - 3 + 3 + 0.\nAnswer: -369*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 15*v = 19*v + 5382, -5*k + v + 26948 = 0. What is k rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24661718?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0\/((i*i\/(i\/(i**(-1\/10)*i))*i)\/i))**(-2\/7)\/((i**(-7)*i)\/((i**(-4\/3)*i*i)\/i))**(-2\/89) assuming i is positive.\nAnswer: i**(3883\/9345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(192)*3 + sqrt(192) - sqrt(192))**2 + sqrt(27)\/(sqrt(45)\/sqrt(5)).\nAnswer: sqrt(3) + 1731","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1190*m + 102*m - 1206*m + 516*m - 544*m in the form c*m + s and give c.\nAnswer: -2322","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 - 4*b + 4. Let w be n(-5). Let z = -38 + 40. Does 12 divide (w + z)*25\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.164925 to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 + 8*n + 8. Let x be w(8). Suppose 2*j = 2*q - 12, 2*j = -x - 2. Which is the third biggest value? (a) 2\/13 (b) 1\/2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33365 = -639*j + 932*j + 1706*j - 147308 for j.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 78*k = 83*k + 18515, y - 3711 = 3*k. List the prime factors of y.\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 + -3 - (-1 + 4)) + 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/((-2)\/68))\/((-188)\/(-5546)). What is the highest common divisor of z and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -1, 0.133, -13.3 in increasing order.\nAnswer: -13.3, -1, 0.133, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**4 + k**3 - 2*k**2 + 1. Let o(b) = -b**3 + b**2 - 1. Let w = -22 + 21. Let g(i) = w*o(i) - m(i). What is t in g(t) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -12 + 2 - 6*t - 18 + 1. Calculate the remainder when 115 is divided by y(-11).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a minute in milliseconds?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9990389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1307529?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 144611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 7320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2337?\nAnswer: 3, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 573 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 608 is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from drdddddddddddrrkd. What is prob of sequence krr?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from fffttttt.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3 + 212*w**2 - 10947*w.\nAnswer: -w*(w - 123)*(w - 89)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 8*n + 109. Give p(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 - 17*o - 265. Let p be g(-10). Let y be 119\/9 - (-6)\/(-27). Let f be (-4)\/(-6) - 4\/6. Sort p, y, f.\nAnswer: f, p, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2\/4 + 33*t\/4.\nAnswer: -3*t*(t - 11)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -732*p - 21 = -725*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4474578793 to the nearest integer?\nAnswer: 66892","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*o + 22*o + 3*o**4 - o**4 + 28*o**2 + 20*o + 2*o**3 to c*o**2 + i*o**3 + t + x*o + j*o**4 and give c.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7294629, 7294614, 7294603, 7294596, 7294593, 7294594?\nAnswer: 7294599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*z**4 + 595*z**3 - 2455*z**2 + 645*z + 3690 = 0. Calculate z.\nAnswer: -123, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -659849 or -659868?\nAnswer: -659849","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 170 divide 933110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -183*p**3 + 921*p**2 - 762*p + 24.\nAnswer: -3*(p - 4)*(p - 1)*(61*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do -25534\/567 and -44 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 143699 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64 and 704.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -226559 (b) -1 (c) -47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(360\/462)*(-4336)\/(-1897)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 264 a factor of 79200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 2*m**2 + m + 2. Let u be z(2). Let d be (-1 - (-3)\/2)*0. Suppose d*f + 4*f - 2*h + 8 = 0, 0 = 3*h. Sort u, f, -5 in decreasing order.\nAnswer: u, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 419 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*s + 15*s - d = -3, 0 = -s - 2*d + 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 4*k = -11, 5*a + 5 = -4*k - 2 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6170?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (8 - ((14 - 8) + -7)) + -6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1580 is divided by 113?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -963996 or -964005?\nAnswer: -963996","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 5*p - 179345, -4*p - 179381 = 875*r - 880*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32 by 2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/7? (a) -7 (b) 0.4 (c) 5 (d) 0.2 (e) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9b5 + 1?\nAnswer: -9b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 4) + (1 - 6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1122110002220 (base 3) in base 14?\nAnswer: 18ab94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -247.244 - -0.244. Let f = 247.1 + d. Which is smaller: 298 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 44\/(-6)*45*(-27)\/(-810). Sort -5, c, -4, -1.\nAnswer: c, -5, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.37 - -0.03. Let d = -70 - -71. What is the nearest to d in 6, q, -0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255464580.\nAnswer: 2, 3, 5, 7, 523, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 6, 11, 2, -3, 0 in increasing order.\nAnswer: -5, -3, 0, 2, 6, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/9)\/((-1)\/9). Let q(u) = 0*u**2 + 5 + 0*u**2 - 1 - u**3 + w*u**2. What is q(4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.002 - -177.998. Let a = j + -107. Let d = -71.0029 + a. Round d to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -788*v**3 + 246*v**3 - 911*v**3 - 700*v**3.\nAnswer: -2153*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1628, 3065, 4502, 5939, 7376?\nAnswer: 8813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in ninety-three quarters of a micrometer?\nAnswer: 23250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 221*o**2 - 52*o - 52. Let c(w) = 13*w**2 - 3*w - 3. Give -52*c(h) + 3*m(h).\nAnswer: -13*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1367999.\nAnswer: 31, 44129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -18 (b) 776720 (c) -1\/2 (d) -4\/7 (e) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*j**3 + 3*j**2 - 3*j**2 + 23*j**3 - 89*j**3 + 29*j**3.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20854.08 tonnes to nanograms.\nAnswer: 20854080000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1920 and 115385760?\nAnswer: 461543040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/6)\/((-174)\/(-54) + -3). Solve -3*t = -4*w - 2, b + 4 = 3*t + w for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*j - 43*j = 116*j + 1740 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(110)\/(-2*sqrt(90)) - (sqrt(44) + (-1 + sqrt(220)\/sqrt(5))**2))*-3.\nAnswer: -33*sqrt(11)\/2 + 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/44 + 414\/(-264) + 1. Suppose s - 16 = -7*s. Let i be (-1 - (-2)\/(2\/s))*-3. Which is the closest to m? (a) 1 (b) i (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174302?\nAnswer: 2, 87151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2081 + -0.5081. Let z = 0.7 + -0.62. Let v = z - -0.12. What is the smallest value in -2\/5, p, v?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17714 + -17712. Which is the closest to z? (a) 0 (b) -19 (c) 0.2 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**5 - 120*l**4 - 237*l**3 - 118*l**2.\nAnswer: -l**2*(l + 1)**2*(l + 118)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x = 10*x + 4*n + 157, -4*x + 5*n + 573 = 0. Calculate the remainder when x is divided by 43.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3075)\/82*2*8\/(-6). Solve -19*v + x = v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d. Let q(c) = -12*c + 0*c - 19*c + 30*c. Let k be 1*((-2)\/1 + 5). What is k*q(j) + p(j)?\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 72 - 69. Put 0.4, d, -1\/6, -2 in descending order.\nAnswer: d, 0.4, -1\/6, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = f + 112 - 144, 2*j + 37 = 2*f - 21 for f.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of 0*j - 1 - 3\/2*j**2 + j**3. Factor y(q).\nAnswer: 3*q*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 12, 2*g - g = -4*p + 23. Let m(d) = -d**3 - 15*d**2 - 54*d - 19. Let r be m(-5). Solve -7 = -3*q + j - r, 21 = p*q + 2*j for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**4\/8 - 3615*z**3\/4 - 10058257*z**2\/8 + 1360129290*z - 283122105032 = 0. Calculate z.\nAnswer: -3992, 377","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f\/(f\/(f\/((f*(f*f*f**(-3)*f)\/f)\/f)))*f)*f**10*f**(-1\/7)*f**9\/f assuming f is positive.\nAnswer: f**(111\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64022073?\nAnswer: 3, 1151, 18541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(1100) + 3 - (-1 + sqrt(1100))*-2)**2.\nAnswer: 180*sqrt(11) + 9909","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 384 - 366. Suppose 0 = -14*n + 74 - g. What is the remainder when 10 is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 5) + 1 + -1 + -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + 6*m**2 - 7*m + 4. Let i be q(-7). Let t be (-11)\/((-121)\/(-16390002)) + i\/22. Round t to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0\/(-10) + 2\/1)*1. Let w(r) = r**3 - 4*r + 10*r + r - 4 + r - 7*r**v. Let c = -4 + 10. Determine w(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 4*a - 59 + 3*a - 8*a - a. Let k(g) = -g - 38. Let p(o) = 8*k(o) - 5*y(o). Calculate p(-7).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94831 is divided by 1042?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 713.50117 - 0.074\nAnswer: 713.42717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356 is divided by 92.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 148662 > 149277?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) + (3*(sqrt(66)*-1 - sqrt(66)) - sqrt(66)) - sqrt(66)) + sqrt(66))\/sqrt(6)*-4.\nAnswer: 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -153864.3 + -0.668951?\nAnswer: -153864.968951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.8400247um?\nAnswer: 0.0000000008400247","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4)\/(((c**(8\/9)\/c)\/c)\/c))\/(c**(-2\/9)*c*c\/(c**(-2\/25)\/c)) assuming c is positive.\nAnswer: c**(-356\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of -a**8\/10080 + a**7\/3780 - a**4\/4 - 4*a. Let n(d) be the third derivative of o(d). Factor n(b).\nAnswer: -2*b**2*(b - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - -32. Let q(p) = -p**2 - 27*p + 105. Calculate the remainder when q(-27) is divided by y.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 179794 - 179794 + 7*r.\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9\/2 in -7, -1, -0.2, -2\/21, 3\/14?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -644*q + 1062*q = 2090 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 o, and 2 s when four letters picked without replacement from {k: 1, v: 2, s: 4, t: 1, o: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + -9. What is the second biggest value in 0.4, -1, w?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 1 = -o - 7, 5*i - 58 = -2*o. Suppose 3*a - 4*l - 9 = 0, l = a + 4*l + i. List the prime factors of a + (10 - (-6)\/3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -96 - (-1 - (-5 - -4)) - 0. Let h = r - -112. What is the remainder when 44 is divided by h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 7*m**2 + 5*m - 231. Let x(f) = -11*f**2 - 8*f + 347. What is -8*q(y) - 5*x(y)?\nAnswer: -y**2 + 113","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + z**3 - 5*z**3 + 79937*z**4 - 79958*z**4 - 2*z + 4*z**3 - 4*z**2 in the form b*z**4 + q*z**3 + c*z + w*z**2 + t and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 0 + -8 + (8 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 PM and 1:11 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*l = -72*l + 18 - 198 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**3 + 208660*v**2 - 2745950732*v + 644417964764.\nAnswer: -4*(v - 25963)**2*(v - 239)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 + 49\/3. Let p = -0.2 - -0.6. Let s = 20.5 - 21. What is the nearest to z in p, 2\/9, s?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 3*f. Let a(j) = -13*j. Let z(s) = 6*a(s) + 22*w(s). Let q(r) = r. Calculate z(q(y)).\nAnswer: -12*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 14*x**2 - 13*x + 40. Let u be o(-15). Solve 2*l = u*l + 40 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25756*b + 0*b**2 - 79536*b + 25760*b + 0*b**2 + 28020*b + 4*b**3.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -47962 >= -47961?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10894987.\nAnswer: 10894987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-3*sqrt(11)*-1 - (sqrt(11) - (0 + sqrt(55)\/sqrt(5))) - (-6*2*sqrt(110) - sqrt(110))\/(sqrt(10) - (sqrt(90)*-6 - sqrt(10)))))**2.\nAnswer: 219*sqrt(11)\/10 + 62219\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 457, 765, 1073, 1381?\n\"Answer: 308*n + 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 88\/5 of a millisecond?\nAnswer: 17600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 22 = 3*q, q = 2*a - 20 + 6. Suppose -y - 23 = 2*z - 2*y, a*y + 6 = -z. Let c = -8 - z. Solve -c*m - 3 = -0*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 368.506 rounded to the nearest integer?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 192*c - 7. Let g(j) = -7*j + 12. What is g(h(k))?\nAnswer: -1344*k + 61","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3436 - -16?\nAnswer: -3420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22104 and 80085248.\nAnswer: 2456","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80 and 1020.\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 11*g**2 + 5*g - 44. Determine b(-12).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - 181*t**2 + 2503*t - 2245. What is h(166)?\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of -1\/6*p**3 + 0 + 3*p**2 + 0*p - 1\/120*p**6 - 1\/60*p**5 + 1\/24*p**4. Calculate h(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 296.3 + -322. Round w to the nearest integer.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520004 - -2223?\nAnswer: 522227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 4. Suppose -2*q - 20 - 24 = -2*p, 4*p = -i*q + 61. Suppose 5*v - 41 - p = 0. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -28*s + 2. Let u = 225 + -213. Calculate the remainder when d(-2) is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162479?\nAnswer: 47, 3457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, 2, 15, 28, 41, 54?\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 4*n = 23920, -4*g + 15*n - 25*n = -23944. What are the prime factors of g?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-6) + 250\/(-12)*-2. What is the units digit of (-4)\/28 - (-7818)\/g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*(-16)\/8)\/(8\/(-5)*(-750)\/20100)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/9)*n*n**22)\/(n*n**(-38)*n\/n**39))**39 assuming n is positive.\nAnswer: n**(11479\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-5) - 108\/(-120). Let n be ((-36)\/(-2))\/3*18. Let h = n + -758\/7. Which is the nearest to h? (a) -0.1 (b) 3\/5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (354\/9 + -4)\/(2\/174)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/73546 and -109\/33430?\nAnswer: 367730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 253120*f**3 - 7*f**2 + 8*f + 3. Let s be b(3). Let d = s - 4234204. What is d rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*a**2 - 172*a + 172*a)*(-48 - 28 + 6)*(-a - a + 0*a)*(2 - 1 + 0).\nAnswer: 2240*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/((-210)\/45)*3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**4 - 5*u**4 + 4*u**4)*(63 - 23 + 108) + u**4 - 3 + 3 - 2*u**4 - 3*u**3 + u**3 + 5*u**3.\nAnswer: 147*u**4 + 3*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-6)*0)\/(46\/(-46)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u + 9. Let x be t(7). Suppose x*v = -5*w - 2*v + 78, 0 = v + 3. What is the smallest common multiple of w and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b + b - 3*b + (-2*b - 4*b + 4*b)*(5 - 1 - 3) + 6 + 11*b - 6 in the form l + q*b and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 28*x + 11. Let c(i) = 11*i + 5. Let w(t) = 7*c(t) - 3*y(t). Let a(f) = -6*f + 2. Give 3*a(h) - 4*w(h).\nAnswer: 10*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -23\/9265?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -468384 (base 11) in base 5?\nAnswer: -142240103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (350\/(-180))\/(-35)*(1 + 3). Suppose -4*o - 9 = i, 32 = 4*i + 4*o + 8. Which is the nearest to -0.2? (a) i (b) -3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-6)*-1)\/((-13)\/(-52))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 88?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(1100) + sqrt(1100) + -1 + sqrt(1100) + 2)**2 + sqrt(1100)).\nAnswer: -9901 - 70*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 210 - 205.92. Let d = 0.08 - y. Let g = -2955 + 20681\/7. What is the nearest to 0 in -1, g, d?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*p**2 + 12*p**2 - 32*p**2.\nAnswer: -10*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 70, -1, -4, -2.\nAnswer: -4, -2, -1, 21, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 12*k = -13*k - 1, 3*d + 1 = -k for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and ((3 - -5) + -28)\/(-1)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 568 and 201214.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180*r + 650970 = 646650 for r.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 31?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132*p = 65717 + 811. Calculate the smallest common multiple of p and 2296.\nAnswer: 20664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 0*y = 0. Suppose -d + 0*d + 3 = y. Solve 0 = -5*z + 15, 0*h - d*z + 13 = h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 16*a**2 + a + 2. Let s(c) = 47*c**2 + 2*c + 5. Calculate 3*s(t) - 8*z(t).\nAnswer: 13*t**2 - 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -4*c**3 + 590*c**2 + 6*c + 4. Let t(j) = j**2 + j + 1. Determine -l(m) + 6*t(m).\nAnswer: 4*m**3 - 584*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -6 (b) -4\/9 (c) -2\/13 (d) -0.069517 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 406013.4m to nanometers.\nAnswer: 406013400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 111599610 and -32?\nAnswer: 111599642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 4*b = -64 + 31, 3*v + 37 = 11*b for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -6\/11, 99, -1\/6, 404?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 23, 425, -16 in descending order.\nAnswer: 425, 23, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16*d*q**2 + 13139*d*q - 11190*q**2 - 3*q - 2 with respect to d.\nAnswer: -16*q**2 + 13139*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (2 + -3 - 11) + 7 - -6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c + 5. Suppose -3*z + 5*n - 17 = 0, 8 - 1 = 3*z + n. Suppose k = z + 5. Let u be s(k). What is the smallest value in -2, u, -2\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68804*y + 78 = -6*h + 68798*y, -3*h - 2*y = 34 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16 - (2 - 1)) + 1. Is 2 a factor of t\/12*3\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*3\/27)\/((243\/9)\/(-243))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -16*p + 4 - 3 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/11 (b) -14 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*c + 200 - 101 = 99. Solve 1659*w - 1663*w + 4 = c for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9674 by 582.\nAnswer: 4837\/291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3467905 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 336305 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 38*s**2 - 77*s + 37. Is j(43) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1143\/((-71 - 45) + 125).\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -26*j**3 - 2*j - 33. Let b(l) = -27*l**3 - 3*l - 33. Let s(q) = -2*b(q) + 3*g(q). What is the derivative of s(i) wrt i?\nAnswer: -72*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40310793 and 318?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1185 = 36*b + 43*b for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 18*u + 22*u**3 + 4 - 20*u in the form k + a*u**3 + g*u + n*u**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -10211 (base 3) to base 5\nAnswer: -403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3*l**2 - 7*l + 4. Let v(b) = b**2 + 2*b - 1. Let r(p) = -6*i(p) - 17*v(p). Let z(t) = -2*t**2 - 42*t - 143. Let k be z(-17). What is r(k)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, 45, 124, 235, 378?\nAnswer: 553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -10*h**2 + 542*h + 1887. Calculate p(65).\nAnswer: -5133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 - 17*f + 59. Give l(-10).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*u + 9*u**3 - 4*u + 6*u - 6*u**3 as v + h*u**3 + r*u + p*u**2 and give r.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 2) + -5 + (5 - -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 12 (b) 2\/11 (c) 1\/14 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 55\/4 of a microsecond?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2043 - -2041. What is the closest to 0.3 in d, 0.1, -20, -0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44 - (44 + -55 + 38 + 6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 3:33 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1161619598?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30 + -42. Let q be (-5)\/(-3) + (-4)\/k. What are the prime factors of (q\/4)\/(5\/160)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -182\/9 (c) 6\/11 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**3 + 2 - 2 + (-3*z**2 + 2*z**2 - z**2)*(2*z + 0 + 0) + z + z**3 - z - 12 + 2*z**3 + 12)*(3 - 3 + 1).\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b**2*t*w + 273*b**2 + 13*b*t*w + 4*b*t - t*w + 2*w wrt b?\nAnswer: 2*t*w + 546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 326450?\nAnswer: 2, 5, 6529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 104 - 278. Let v = y - 18. Calculate the least common multiple of 4 and (v\/9)\/(14\/(-21)).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 580*d**3 + 2*d**2 - 12*d + 10. Let r be i(1). Suppose -r*b = -575*b. What is the closest to -0.5 in -0.2, -1\/8, b?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.936239ml?\nAnswer: 0.000936239","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 3:27 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 11441170?\nAnswer: -11441170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/(-7) - ((-552)\/21 + 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*7 - (7 + -2). Solve -17 = t + 6*x - 2*x, 3*x = z*t + 1 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 716 and 134787?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + 8\/12*9. Let z = -563\/180 - -37\/36. Calculate the common denominator of z and ((-2)\/a)\/((-11)\/(-12)).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -154 - -397. Let u = 118 + -105. Let y = 14 + u. Calculate the highest common divisor of y and g.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 26db09 + 1?\nAnswer: 26db0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -90 or 412.3418?\nAnswer: -90","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3\/4 + -5\/4. Suppose 0 = d + 4, b - 5*b + d = 4. Is b greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3171 = 2*s + j, -5*s - j + 7920 = -0*s. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*o - 2*d, -4*o + 8 = -7*d + 3*d. Solve -o*h = -8*h + 20 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-6 - 2) + 5 - -9?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-109)\/4)\/(8\/(-32)). Let i = -120 - -64. Let l = i + b. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52877 is divided by 10525.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-3 - -8) + 6*(-5)\/(-70)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 20 + 2940041907*v - 2940042242*v.\nAnswer: -335*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10798 = -2*n + 3*i + 3127, -2*i + 6 = 0. Suppose 2108 = 15*l - n. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z + 14. Let o be k(-5). Let f = 19 - 14. Solve -o*t - 9 = -f*l, t + 7*l - 29 = 2*l for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 + 3*c + 1. Let y(t) be the third derivative of -t**5\/30 + t**4\/8 + t**3\/6 + 23*t**2. What is -3*x(i) + 2*y(i)?\nAnswer: -i**2 - 3*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) - (0 + (sqrt(80) - -4*sqrt(80))) - (0 + 1*sqrt(80)))*4)**2*4*-1.\nAnswer: -128000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 129314.7 rounded to the nearest 1000?\nAnswer: 129000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/12)\/(154\/84).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -263*d = -255*d - 4560. What is the hundreds digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -52 - -48. Let z = 4 + o. What is the closest to z in 4, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 2*i = 20 - 105, -i + 68 = 4*p for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36 + 49. Let r = h - 45. Let q = 20.9 + r. What is q rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.43 + -0.43. Let g = -40 - -39. Which is the biggest value? (a) -4 (b) u (c) g (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(112) - -1*sqrt(112)) + sqrt(112) - sqrt(112))*4 + sqrt(112) + 3)**2.\nAnswer: -72*sqrt(7) + 9073","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 49836026 + 0.2.\nAnswer: 49836026.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -39*i + 72*i - 396 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**4\/5 - 20*y**3 - 1512*y**2\/5 - 6588*y\/5 - 8694\/5 = 0. What is y?\nAnswer: -23, -21, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 5*n - 22, -10 = -6*n + 3*n - g. Suppose j + 5*b - 13 = 0, -4*b + 0 = 4*j - n. Put 7, j, -1 in descending order.\nAnswer: 7, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -224 in 4, 3\/4, 0, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -2 - 4. Calculate the lowest common multiple of (2\/(-6))\/(q\/(-30)) and 7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 + 6*t - 2. Let w be c(4). Suppose w*z - 5*z - 6 = 0. Is (2 - 9\/z)*52 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26699394 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 17398784 divided by 1?\nAnswer: 17398784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6337 is divided by 2029.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93318919.\nAnswer: 769, 121351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 932458?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 60537567217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 12\/42*(28\/1)\/1\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i - 3*i + 0*i)*(-1286 + 42*i + 1286)*(7*i + 26*i + 3*i)*(0 + 0 + i**2).\nAnswer: 1512*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 72630.16 rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 40 - 35. Suppose 2*a = a + c. Let j be (2 - -2) + 0 + -1. Solve 2*g = -10, -a*g = j*y + 5 + 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 - 3*h + 2. Let p = 11 + -14. Let q be y(p). What is the second derivative of 3*f - 315*f**2 + 4*f**5 + 315*f**q wrt f?\nAnswer: 80*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39109363 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -79 - -97. Let q = -2 - -14. Calculate the highest common divisor of q and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = c - 0*c - 2728, 2*c - 1634 = 3*v. Let r = -333 - v. Suppose 8*i - 299 = r. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1332887 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -438 + 436. Which is the second biggest value? (a) -8 (b) t (c) -0.5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 55 = 4*u - 5*b, 4*u + 5*b = 105. What are the prime factors of (9\/12)\/(1\/u)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27844, 55744, 83646, 111550, 139456, 167364, 195274?\nAnswer: 223186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (13 - (16 - 9))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -3*s**3 + 220320*s**2 - 440631*s + 220314 = 0?\nAnswer: 1, 73438","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 179 divide 34163999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 13*g + 23. Let x(s) = -14*s - 24. Let q(a) = -3*b(a) - 2*x(a). Let c(r) = 5*r + 10. Suppose -49*i + 192 + 102 = 0. What is i*q(u) + 13*c(u)?\nAnswer: -u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1166*y**2 - 816*y**2 + 421*y**2 - 50*y**2)*(20*y - 4*y - y)*(-3*y - 2*y + 3*y) as h*y + v + o*y**4 + p*y**2 + z*y**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22320 and 5580?\nAnswer: 22320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*y, 378 - 1961 = -5*i - 3*y. Let r be i - -5*8\/(-40). What is the highest common divisor of r and 180?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56\/(-6)*16\/(1152\/54).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*v - 5*v. Suppose 3*d - d = -3*g + 1, -v*d + g = -7. Let t(x) = 12*x - 3*x**2 + d*x - 6 - 8*x. Let c(n) = -n**2 + n - 1. Determine -6*c(j) + t(j).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8819?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 5*g**2. Let h(t) = -t + 15*t**2 - 3*t - 7*t + 11. Let j(a) = 4*a**2 - 3*a + 3. Let k(o) = 6*h(o) - 22*j(o). Determine k(v(p)).\nAnswer: 50*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 5*u**2 - 2*u - 4. Suppose 3*q + 12 = -q + 5*t, 22 = 3*q + 4*t. Let a be 57\/21 - q\/(-7). Is 8 a factor of i(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.002 or 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 17 = -117. Let x = -64 - p. Suppose 3*s + 2*s = 15. Solve -2*m + 13 = s*m - u, 3*u + 3 = -x*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 7\/15, -2\/11, -1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 4 and 36.40290120613.\nAnswer: 40.40290120613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 126, 263, 438, 645?\nAnswer: 878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 860.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3723, 3719, 3713, 3705, 3695, 3683?\n\"Answer: -d**2 - d + 3725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 614 (b) 0.03 (c) -7.2 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-246)\/287)\/(-9*2\/(-6)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(1\/4)*i**(-15\/8)*(i\/i**(-3))\/(i**(-2\/13)\/i) assuming i is positive.\nAnswer: i**(367\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 6*v + 34. Suppose 42 = 41*m - 48*m. Give u(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of -4*k**3 + k**2\/2 + k. Is t(-1) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9315?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**3 + 18*u**2 + 224*u = 0. Calculate u.\nAnswer: -7, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -8\/11, 0.107.\nAnswer: -9, -8\/11, 0.107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 165?\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/3 of a day in hours?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 531 - -25215?\nAnswer: 25746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5081, 6100, 7723, 9956, 12805?\n\"Answer: f**3 + 296*f**2 + 124*f + 4660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5744341 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21.9 - -22. Let s = -68\/9 + 1147\/153. Let y = s - 14\/51. Which is the second smallest value? (a) y (b) -1\/4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -373 + -1?\nAnswer: -374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10482*j + 9624*j**2 + 10482*j)*(3 - 3 - 2) in the form p*j**2 + n + s*j and give p.\nAnswer: -19248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11\/645 + 60073\/5160. Calculate the common denominator of p and -59\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 14*i**2. Let m(l) = -18*l**2 + 360*l. Let o(y) = 5*y. Let c(p) = m(p) - 72*o(p). What is x(c(t))?\nAnswer: 4536*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -7*l**2 - l + 4. Let p(z) = 28*z**2 + 4*z - 15. Let c(d) = 9*n(d) + 2*p(d). Determine c(3).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-1) + 2*-2. Let s be (-6)\/(-5)*-1*c. Let m = 10 - s. Solve m*b - 18 = -6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**2 - 267155*u - 8010150.\nAnswer: -5*(u + 30)*(u + 53401)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 93 + 0?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 7*g - 12. Solve -g*b + 8 = -4 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9606 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of -1\/12*u**4 - 13\/6*u**3 + u + 4*u**2 - 13. Determine y(-14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-3 - (-2391)\/795). Let b = 998 + m. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w**5 - 80*w**4 - 1052*w**3 + 11608*w**2 - 9680*w - 72800 = 0. Calculate w.\nAnswer: -14, -2, 5, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h - 6. Let d be u(9). Suppose r + d*t - 18 = -3*r, -t = r - 4. What is the least common multiple of r and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 9*b - 2. Let j(z) = -5*z + 1. Let k be 1\/(1\/4) + 1. Suppose 6*v - 36 = v + 3*d, 0 = -v + k*d + 16. Calculate v*y(l) + 11*j(l).\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252 is divided by 55?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 71.34 to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*t**3 - 32 - 2*t**3 + 22*t**3 + 22*t**3 wrt t?\nAnswer: 114*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57861.92 days to minutes.\nAnswer: 83321164.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 182 and 104101816.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 + 3*h - 1. Let m be x(-4). Find the common denominator of m\/(-24) + 2 - 3 and -31\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 432878.4 hours?\nAnswer: 1558362240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -6*r**3 + 34*r**2 - 11*r + 17. Let l be b(6). Let s(m) = 539*m**2 - 121*m + 121. Let z(k) = -9*k**2 + 2*k - 2. Calculate l*z(o) - 2*s(o).\nAnswer: 11*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*f - 109 = 59. Let h be 0\/(-5) - f - 3. Let p(x) = -2 + 5*x**2 + 3 + 3 - x**3 + 0*x**3. What is p(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*o**4 + 47946*o + 463532?\nAnswer: 20*o**3 + 47946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 165 and 220?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 75 + 51. Let z(t) be the third derivative of t**6\/120 + 7*t**5\/60 + 5*t**4\/24 - t**3\/3 + 361*t**2. What is z(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-4) - 63\/(-12). Suppose 3*s + d*b = -12, 5*s - 2*b = s - 16. Which is greater: s or -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*r**4 - 17156*r**3 + r**2 + 3106*r - 4?\nAnswer: -48*r - 102936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 m when three letters picked without replacement from {m: 5, c: 2}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -402.9 - -403. Suppose 0 = -p - p + 8. Sort p, z, -4 in ascending order.\nAnswer: -4, z, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0036858 and 197.41418.\nAnswer: 197.4178658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g*g*(g*g**(-2\/85))\/g)*g)**(1\/44)*g\/(g\/(g*g\/g**(6\/19))*g)*(g*g**(-1\/10))\/g assuming g is positive.\nAnswer: g**(43167\/71060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**2*o))\/(o\/(o**(-5\/3)\/o)))\/(o**(-2\/3))**28 assuming o is positive.\nAnswer: o**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 4:42 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -0.04829?\nAnswer: -1.95171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 5*b = 2*a - 208, a = -4*b + 204. Calculate the least common multiple of ((-16)\/40)\/((-2)\/b) and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 540 = 4*x, 10*a + 147 = x + 13*a. Calculate the highest common divisor of 1472 and x.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299) - ((1 + sqrt(2299))*2)**2)*-6.\nAnswer: 462*sqrt(19) + 55200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 + 0)*26\/(-351)*27 + 6.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of 3*q**2\/2 - 1243. Let i(h) = -6311*h**2. Give i(f(w)).\nAnswer: -56799*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3451, 14354, 32525, 57964?\n\"Answer: 3634*o**2 + o - 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + 2 + (-3)\/(-12). What is the closest to 0.2 in 2\/7, -0.4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -3 + (163 - 175) + -19 + 1?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/44, -52, -2\/5, -2, 3 in descending order.\nAnswer: 3, -3\/44, -2\/5, -2, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 20*z**2 + 11668*z**3 - 11667*z**3 + 12 - 3*z**2 - 16*z. Determine g(-18).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -199653*s - 898626.\nAnswer: -199653","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -3*u + 5, -2*u + 0*h = -h + 15. Let k = 7 + -7. Let x(s) = -s**3 + s - 1. Let g be x(k). Which is the closest to g? (a) -3 (b) u (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 336 = -27*u + 108*u. Solve -131 = -u*p - 115 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 103?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + 22*j**2 + 21*j + 8. Let t be l(-21). Let v be 12\/t*(-28)\/(-21). Solve -v*y + 0*y = o, -4*o - 4*y = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.23794 + 0.76206. Let v = 4 - 1. Which is the nearest to h? (a) v (b) 0.1 (c) 0.5 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 - -75. What are the prime factors of i?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pnnddnpinjidina. Give prob of picking 1 i and 2 d.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15 + 15 + 130*o)*(0*o + 2*o - 4*o)*(-11*o - 4*o**2 + 11*o) as i + a*o**2 + b*o**4 + z*o + g*o**3 and give b.\nAnswer: 1040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 88 and (-18)\/(-54) + 174\/18.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20221002 + -2?\nAnswer: -20221011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27261 divided by 699.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 + 982*y**3 - 1687*y**3 + 883*y**3 - 40.\nAnswer: 178*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 28565 = -5*i, -4*m = -64*i + 67*i - 17125. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8088 divided by -1?\nAnswer: 8088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.612705 years in millennia?\nAnswer: 0.005612705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -79 + 64. Let t be (-6)\/d + (845\/(-150))\/(-13). Let x be ((-4)\/7)\/(6\/(-14)). Which is the third biggest value? (a) t (b) 1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*i + 2*i - 4*i)*(5*i - i - 3*i)*(-9 - 9 + 2)*(-3*i + 4*i + 9*i) in the form p*i**3 + t + v*i**2 + j*i and give p.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 11:49 AM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or -22901423?\nAnswer: -22901423","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (64\/(-60))\/8*5*2*(-494)\/(-3952)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -13 (b) 10 (c) -1.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*g + 149*g = 12 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 428776986 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 bigger than 1213?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 4*i**2 + 7. Let c(u) = -u**2 - 2. Give 7*c(g) + 2*r(g).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -16*f**2 + 4*f - 411. Let v(h) = 9*h**2 - 2*h + 206. Determine -4*r(y) - 7*v(y).\nAnswer: y**2 - 2*y + 202","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*j - 14*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 514.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/11226 and 119\/12.\nAnswer: 22452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -195, -843, -1911, -3369, -5187, -7335?\n\"Answer: 5*j**3 - 240*j**2 + 37*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 8:49 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 511 - 87. List the prime factors of q.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1318 - 1333. Let t(m) = -m - 1. Let n be t(3). Which is the smallest value? (a) -2 (b) k (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141 + 690 + 243 = 1074*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1991468 is divided by 3983.\nAnswer: 3951","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1001 times -153886?\nAnswer: -15403.9886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (124\/6)\/((-6)\/(-23661)). Let y(n) = -521*n**2 + 9*n - 35. Let p be y(7). Let k = s - p. Round k to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/171232925 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1300 - 3?\nAnswer: 12db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -973 by 139.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 3*i - 5*i + 31, -5*g = 4*i - 71. Let t(p) = p**3 - 13*p**2 - 9*p - 33. Is 2 a factor of t(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/(-3))\/((-6)\/(-9)). Suppose p - 3*w = -14, 3*p + p - i*w + 16 = 0. Calculate the least common multiple of p and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 i when three letters picked without replacement from qicccccqppppqccp.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 6*d. Suppose l + 7 = 2*x, 4*x - 29 = 7*l - 2*l. Let k be b(l). Suppose 3*n + k - 38 = 0. What is the highest common divisor of 77 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2ac8 (base 13) in base 14?\nAnswer: -23c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5241?\nAnswer: 3, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 + 100. Suppose 278 = 3*d + r. What is d rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2 + 1*sqrt(1900) + 2*(-1 + sqrt(1900)) - (((sqrt(1900) + 0)*-6 - sqrt(1900) - (2*sqrt(1900) + sqrt(1900))*-1) + -5))**2*-6.\nAnswer: -558816 - 5040*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/((-75)\/(-18))*5. Suppose d - 14 = -2*g. Let p(l) = -l**2 + 5*l - 1. Let u be p(g). Solve -3*y - b = -4*b, y + u*b = 12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 43*f**3*p - 137*f**3 + 2*f wrt p.\nAnswer: 43*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.02 (b) -39\/131 (c) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36\/11 + -163\/33. Suppose -4*n = -2*u - 26, -u + 5*n - 21 = 7. Which is the smallest value? (a) 3\/11 (b) -4 (c) f (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 + (-9 - 6)\/(-3) - -74. Let a = 170 + o. Round a to the nearest 10.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**2\/9 + 588980*g\/3 + 43362180050 = 0. What is g?\nAnswer: -441735","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 4 = 0, 2*s - 5 = 7*s + 5*q for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -1258*f + 95666. Give u(76).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13929435?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000000448 rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/3)\/x)**0*(x\/x**(2\/3)*x)**(-49) assuming x is positive.\nAnswer: x**(-196\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**2 - b - 33. Give g(-6).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3624 and 2486688.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 31530*u - 1198142. Determine i(38).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 214 by -3472740.\nAnswer: -107\/1736370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39 - -38.79. Let j = 0.01 + m. Sort j, 0.4, 1\/8 in decreasing order.\nAnswer: 0.4, 1\/8, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1934 rounded to the nearest one hundred?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24223268\/77 + -71803174601\/228228. Let o = z - -308\/13. Find the common denominator of o and 85\/2.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13141 is divided by 3283.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 1, 0, -3 in descending order.\nAnswer: 9, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.819506 nanoseconds to milliseconds.\nAnswer: 0.000008819506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 379412 and 352?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*c + 574 = 1162 - 477. Solve -c*j - 2 = -r + 9, -2*j = -4*r - 6 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -613 = 13*w - 1705. Suppose 5*s - 60 = -5*y + 4*s, 3*y = 2*s + 23. Calculate the smallest common multiple of w and y.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2713293*f**2 + 697*f - 15977 wrt f?\nAnswer: -5426586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -506024 (base 10) in base 9?\nAnswer: -851118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -11c + a?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 802*k**3 + 2*k**2 - k**2 - 584*k**3.\nAnswer: 218*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 27166040 divided by -85160?\nAnswer: -319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -593\/27 - 119\/54. What is the common denominator of -71*2*1\/(-6) and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 * -0.0571933\nAnswer: -1.143866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifty-one halves of a meter?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((0\/3)\/(-4))\/(-1). Suppose 3*l - h = -5*h + 3, s = -4*l - 4*h + 8. Solve 1 = -m + l for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 920608 = 122*s + 874791 - 2144205. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one tenth of a millimeter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*z**2 + 698*z**2 + 232*z**2 + 602*z**2 + 1.\nAnswer: 1487*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001352405 to 4 dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(132) - (sqrt(132) - sqrt(132)*2*1 - sqrt(132) - sqrt(132))) + sqrt(132))\/sqrt(12) + -1 + 1*(sqrt(275) - (0 + sqrt(275)))*4*4)**2.\nAnswer: -40*sqrt(11) + 291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 47 = x, 4*t = -1 + 5. Suppose 0 = -144*q + 121*q + 46. Find the first derivative of -99*d**2 + 6 + 55*d**q + x*d**2 wrt d.\nAnswer: 10*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -23*z - 146. Let a = 10845 - 10851. Give u(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13309 + 2253 - 5352 = -586*y for y.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 7*v**2 + 1. Let l be i(-7). Let o(w) = -6*w + w + l - 3*w. Is 9 a factor of o(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36918 and 49014?\nAnswer: 14361102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245 is divided by 82?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5289, 13, 5, 0, 2, -4, -2 in descending order.\nAnswer: 5289, 13, 5, 2, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7)*-3 + 1 + (sqrt(56)*4)\/sqrt(8) + (sqrt(63)*1*-5)\/((sqrt(45) + sqrt(90)\/sqrt(2))\/sqrt(5)).\nAnswer: -3*sqrt(7)\/2 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-2) + 35\/14. Is 6\/11 at least t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2. Let b(z) = -987615*z. Determine b(f(w)).\nAnswer: 987615*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.006981 + 1483.861981. Let z = 1480 - g. Let v = z - 0.045. What is v rounded to 0 dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 272195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**4 + 5*y**3 - 13*y**2 - 33*y - 14. Suppose 24 = -4*i + 10*i. Let b(p) = 6*p**3 - 12*p**2 - 33*p - 15. Let q(v) = i*b(v) - 3*n(v). Factor q(z).\nAnswer: 3*(z - 2)*(z + 1)**2*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -166 - -255. Suppose 19*x - 260 + a = 0. Calculate the highest common divisor of 117 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -2*a**3\/15 + 3*a**2\/5 - 4*a\/5 - 7. Factor m(d).\nAnswer: -2*(d - 2)*(d - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*o + 6 - 6)*(-16 + 9 - 13)*(5*o - 2*o - 2*o).\nAnswer: 160*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58909.98ml to litres.\nAnswer: 58.90998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in three eighths of a millisecond?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -133 - -200220000?\nAnswer: 200213201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4*(0 + (-2)\/4). Which is greater: 1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12824150.\nAnswer: 2, 5, 256483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*m + n = -52*m - 11, 0 = 3*n + 18 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3)*n\/((n**4*n)\/n)*n)\/(n**(-2\/11)*n*n*n*n\/n**(-4)*n)*(n**4*n**0*n)**41 assuming n is positive.\nAnswer: n**(2103\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jzicjzijj. Give prob of sequence jj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m**2\/5 - 84*m\/5 = 0. Calculate m.\nAnswer: 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(49)*2)\/sqrt(7))**2.\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 474722775721 and -0.1?\nAnswer: 474722775721.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 72\/60 - (-6)\/(-5). Let g(k) = -k**2 + k - 70. Calculate g(w).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/14*22)\/((-200)\/(-700)). Solve -o*j = -32*j - 70 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -7\/2 (b) 0.4 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1445 and -211208?\nAnswer: -305195560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-518)\/(-407)*3\/147?\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*f + 7 = 10, -4*s = f + 9. Which is the closest to 1? (a) 6 (b) -3\/2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 4*i**2 - 2. Let v(w) = -48*w**2 + 3*w + 3. Determine -2*f(y) + v(y).\nAnswer: -56*y**2 + 3*y + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/150 - (-2)\/(-10)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 - 7 - 536 = -150*k. Put 25, -1.5, -1\/2, k in ascending order.\nAnswer: -1.5, -1\/2, k, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7, 0.2, -8, -24?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (1 + sqrt(11) + sqrt(176) - sqrt(44)\/sqrt(4)*1)*-2 + ((sqrt(11) - 2*(0 + sqrt(11))) + sqrt(11) - sqrt(11)*4*-3) + 2)**2.\nAnswer: -16*sqrt(11) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 a when three letters picked without replacement from {a: 6, q: 1, m: 4}.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 2078 - 2091 = -2*k, -2*k = -5*p - 17 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*w - 27 = -8 - 53 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 + -873931?\nAnswer: -873938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -72 - -41 - (-23 + -2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -92 (base 12) to base 6.\nAnswer: -302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 80 = z. Let n(k) = 2*k**3 - 11*k**2 + 22*k - 18. What are the prime factors of n(z)?\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -226292\/29 or -7802?\nAnswer: -7802","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 51.92971 nanometers?\nAnswer: 0.00000000005192971","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*u + 2944 = 27622. What are the prime factors of u?\nAnswer: 2, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 85 + -4603005?\nAnswer: -4602810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 117762224 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54681.5367 microseconds to weeks.\nAnswer: 0.00000009041259375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4 - 3004*p**3 + 2234878*p**2 + 31731252*p + 111576969.\nAnswer: (p - 1509)**2*(p + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -610*r - 745 - 240 = 375*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -1.5. Let g = -4\/21 + 37\/84. What is the nearest to g in -0.3, -2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - 3*c**2 + 6. Let w = -162 + 159. Let i be f(w). Solve i + 6 = -3*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10211202201001 (base 3) to base 8\nAnswer: 7625113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 + -7. Let j = h - -21. Let y be ((-1)\/5)\/(10\/(-75)). Which is the biggest value? (a) j (b) 2\/7 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -4*l**2\/3 + 328232*l\/3 + 2626112\/3 = 0.\nAnswer: -8, 82066","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001 (base 2) in base 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 11, 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-196)\/(-5) + 5\/(-25). Suppose -s + 4*s = -t. Let p(x) = 2*x**2 - 17. Is p(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (95\/(-10))\/(1\/2)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -103 + 146. Let q = d + -43. Let x = 37 + -34. Solve q = 4*r + 3*k - 3, -x*k + 15 = -0*k for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**1)**(20\/9))**(-27) assuming u is positive.\nAnswer: u**(-60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 607400?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12315755.7s in days?\nAnswer: 142.54346875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - c - 5*c**3)*(0 + 0 - c**2) + c**3 + c**3 - 3*c**5 + c**5.\nAnswer: 3*c**5 + 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 11:10 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 10:53 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 15053, 15027, 14947, 14783, 14505, 14083, 13487, 12687?\n\"Answer: -5*j**3 + 3*j**2 + 15055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*w - 1824 = 311. Calculate the remainder when 1113 is divided by w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2883 and 12052583.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 16 = -28. Let w be p + 2 - 2 - 102\/24. Which is the closest to -7? (a) w (b) -3\/4 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 l, and 1 i when three letters picked without replacement from {w: 1, l: 6, i: 2, r: 6, u: 2}.\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*k**4 - 84*k**3 - 36*k**2 + 116*k + 24 = 0. What is k?\nAnswer: -3, -2, -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*x**2 - 1 + 26786*x - 26786*x.\nAnswer: 18*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*u - 5*u - 7*u + (6 - 4 - 3)*(-4*u + 4*u - 2*u) - 44*u - 65*u + 187*u - 2*u + 3*u - 3*u to z + p*u and give p.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1186 is divided by 132.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -43*k - 1456. Calculate r(-34).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 230559, 461757, 692953, 924147?\nAnswer: 1155339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*2*(4 + (-2*(-1 + sqrt(833)) + sqrt(833))*3 + ((sqrt(833) + 0 - sqrt(833))*2*-2)**2).\nAnswer: -20 + 42*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 10 = 4*c + 22, -3*c = m. Let a(p) = -p**3 - 13*p**2 - 15*p - 15. Let h be a(-12). Calculate the greatest common divisor of h and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(68) - -2*(4*sqrt(68) - sqrt(68)))\/sqrt(4) - sqrt(102)\/(sqrt(600)*3)).\nAnswer: 209*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 c when two letters picked without replacement from {a: 3, c: 7, w: 3, l: 7}?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z = 32 - 5 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-17*(1 - (162\/51 - 2)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 126 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (1 - 3) - 1) + -44 + 37.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 17*q - 7. Let u(v) = 1. Let b(t) = s(t) + 3*u(t). Let y(j) = 4*j - 1. Let m(w) = -2*b(w) + 9*y(w). Let p = 507 + -503. Calculate m(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - (-6 - -9)) + -131 + 120?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -295.4921 to the nearest 10.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(7) + sqrt(28)) + sqrt(7) - (sqrt(70)\/sqrt(2))\/sqrt(5)) + (4*sqrt(140)\/sqrt(5))\/sqrt(4))**2.\nAnswer: 3388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/5)*b*b)\/(b**(-15)\/b)*(b**(3\/4)*b)**(-14\/11) assuming b is positive.\nAnswer: b**(1691\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 505 by -2.\nAnswer: -505\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of w**4\/4 + 26*w**3 - 5*w**2\/2 - 7492*w + 244. Find the first derivative of k(z) wrt z.\nAnswer: 3*z**2 + 156*z - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29 and 11\/1901.\nAnswer: 1901","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 divided by -30?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -220.063486 to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -6 - (33 + 5 + 10)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - 7*m**2 + 10*m - 8. Suppose -5*a + 30 = -0. What is the remainder when l(6) is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-13 - -12)*-1*1. Let t be (u\/3)\/(4\/60). Suppose 5*l + s - 13 + 2 = 0, -4*l + t*s = -3. Sort 5, l, -5 in descending order.\nAnswer: 5, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -2. Let w = 44 + -30. Let a(x) = 7*x + w + 12*x - 21*x + 3*x. Give a(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/(-12) + 2\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11\/4 - 179\/68. Let a = 2.9 + 0.1. What is the closest to -0.1 in h, a, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 + n + 1. Determine q(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x**4 + 4*x**4 - x + 18*x**2 + 0*x**4 - 1570*x**3 + 1585*x**3 in the form y*x**2 + p*x + u + b*x**4 + f*x**3 and give y.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -10*y - 3*y - 4 + 12*y. Suppose 11 = 3*p - 2*q, -q - 13 = -4*p - 0*p. Suppose 0 = 2*o, -r - 3*o - p = 1. Calculate k(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/4 or 3?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 218 - 282 - (-24 + (-2 - -9))\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -64 + -51?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 43792380*h**3 + 90101608*h?\nAnswer: 262754280*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2 + 5*l**3 - 3*l - 6*l**3 + 3*l.\nAnswer: -l**2*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zrwrzzrw. Give prob of picking 1 w and 2 z.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 63637 + -63573. Suppose -52 = -k + 3*a, a - 68 = -2*k - 2*a. Calculate the smallest common multiple of k and p.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jcij when four letters picked without replacement from {b: 1, i: 1, c: 2, j: 2}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3909 - 200. Suppose m = p + 891. What is m rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1*sqrt(10))\/sqrt(2) - sqrt(375)\/sqrt(3)*-1.\nAnswer: 1 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 987*l**3 - l**2 + 940*l**3 + l**2 - 1941*l**3.\nAnswer: -14*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/3 - 401668*k + 1205005\/3.\nAnswer: -(k - 1)*(k + 1205005)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 61966125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*y = -20, 4*p - 2*p - 3*y = 40. Solve -3*d + 8 = p for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/703458 and -103\/90.\nAnswer: 3517290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5631 = 74*r + 3337 for r.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25923 is divided by 355.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1844.1 * -101\nAnswer: -186254.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -239 + 31 = -8*u. Let l = u - 55\/2. Let w = 62 + -61.9. Which is the closest to w? (a) 2 (b) -0.5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184\/19 less than 8726?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*v - 9101 = -119*v + 476*v for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-165) + 13\/65.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 8*s - 6. Let t be v(7). Let m(j) be the second derivative of 2*j**3\/3 + 17*j**2 + 5*j. Let c be m(-8). Solve -k + t = -c*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3501*b - 87708 + 23671 = 153025 for b.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**3 + 1939752*x**2 + 235176501924*x + 2821838705712.\nAnswer: 4*(x + 12)*(x + 242463)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11423 divided by 3?\nAnswer: 11423\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2. Let a(u) be the second derivative of 1\/2*u**2 + 4*u - 1\/6*u**3 + 0. Let d(p) = p**2 + 9*p - 9. Let r(f) = 18*a(f) + 2*d(f). Calculate r(h(g)).\nAnswer: 2*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -10116*b - 30600. Calculate i(-3).\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 208648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (((-14)\/(-245))\/((-1)\/(-14)))\/(2\/(-3))\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3487, 26662, 89197, 210772, 411067?\nAnswer: 709762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 608975540?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6001 or -1962644\/327?\nAnswer: -1962644\/327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -412547, -825092, -1237637, -1650182, -2062727, -2475272?\nAnswer: -2887817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2ab00 (base 13) to base 2\nAnswer: -10011110000110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Divide -172 by 3736984.\nAnswer: -43\/934246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 683521642 to the power of 1\/3, to the nearest integer?\nAnswer: 881","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3415 is divided by 25?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 5*i + 4. Let b be u(0). Suppose b*a - 16 = -m, 5*a - 3*m = 3*a + 22. Put a, 9, 1 in increasing order.\nAnswer: 1, a, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 11*g**3 + 2*g**2 - 23*g + 405. Let y(q) = -4*q**3 - 2*q**2 + 7*q - 135. Let u(b) = 2*s(b) + 7*y(b). What is the second derivative of u(c) wrt c?\nAnswer: -36*c - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d**2 + 3*d - 6. Let j(a) = a**2 - a + 1. Let w be ((-9)\/(-2))\/((-60)\/80). Let l be (27\/(-6))\/(9\/w). Give l*j(u) + r(u).\nAnswer: u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15 - (-2)\/((-8)\/12). Suppose -t = 2*t - i. Is -3 + t + 1 - -37 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 39*a. Let g(p) = -p**2 + 16*p**2 - 8*p**2 - 9*p**2. Give g(v(u)).\nAnswer: -3042*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*w + 4*w - 17*w + w.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 201 = -203. List the prime factors of -6 - (0 - k - 574).\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 1175b?\nAnswer: -11762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5219 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12933495 divided by -2963?\nAnswer: -4365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -j**5*o**3 + 2105469*j**5 + 2218177*j**2*o**3 wrt j?\nAnswer: -60*j**2*o**3 + 126328140*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 412355784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/10)\/((-27)\/2106*2)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -2*j + 112. Let o = -4 - j. Let k = -6 + o. What is the remainder when 51 is divided by k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/456 and 155\/90744?\nAnswer: 90744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-116)\/(-10))\/((-25)\/(-125)) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 432\/259 not equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(30)\/((-3*sqrt(90))\/sqrt(9)) - (-1 + sqrt(75) + sqrt(75) + sqrt(75) + -1 + sqrt(75) + -2 + sqrt(75)))**2.\nAnswer: -632*sqrt(3)\/3 + 6289\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18826783 to the power of 1\/2, to the nearest integer?\nAnswer: 4339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-27)\/(-6) + -4 - (-7)\/(-8). Put 4, n, -2, 0.2 in decreasing order.\nAnswer: 4, 0.2, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -345, -371, -397, -423?\nAnswer: -449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16027641109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1063*5.\nAnswer: 5315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(-4))\/(m*m*m\/(m*m**(-1\/2)\/m)))\/((m*m*m**(2\/15)*m*m)\/(m*(m*m**6)\/m)))**(-1\/16) assuming m is positive.\nAnswer: m**(109\/480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 a factor of 2363136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of 40.27429492 and -3184.\nAnswer: -3143.72570508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h + 9. Let t be g(9). Suppose 29*s - 4*s = -50. Sort s, -6, 4, t in decreasing order.\nAnswer: 4, t, s, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 21 = -0*d. Solve 0 = -3*c - d - 5 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + (-12)\/(-2) + -2. Is 167\/b + 1\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31 + 15. Let g be (-7)\/(28\/d) + -4. Let j be ((-4)\/(-4))\/(1\/3). Solve b + 1 = p, j*b + g*p = 2*p - 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 283043, 283042, 283041, 283040?\nAnswer: 283039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mpq when three letters picked without replacement from qmdmmdmmqqmqpuuqdmm?\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*x - 360 = -104*x. What is the greatest common factor of x and 750?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 712?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 314, 317, 320, 323?\n\"Answer: 3*r + 311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 7*v + 5. Let c(h) = -6*h - 4. Let o(y) = 6*c(y) + 5*p(y). List the prime factors of o(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 17*t**2 + 10*t + 272. List the prime factors of c(-8).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1642*a = -726*a - 63936 for a.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 115.94 - 0.94. Let v = z - 115.0000104. Round v to 6 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 8*u + 48 = -4*u, 3*d + 5*u - 77 = 0. What is the highest common divisor of d and 714?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -36311, -145194, -326655, -580694, -907311, -1306506, -1778279?\n\"Answer: -36289*a**2 - 16*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 378.27 and -1.79?\nAnswer: -677.1033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 3, -0.2, -3\/14, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 29355\/6 + (-35)\/(-14). Suppose 11274 + p = 19*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 323413107 and 610905.\nAnswer: 1617065535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s - 2. Let p be j(7). Let z(f) = p*f**3 - 3 - 2*f**2 + 2 + 2*f + f**2. What is the remainder when 23 is divided by z(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/2725 and -53\/5995?\nAnswer: 29975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 28395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r + 0*o + 5*o = 80, -44*r + 40*r - 10*o = -160 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164*h = 187*h - 46. Factor 4\/3*f**h - 4*f + 8\/3.\nAnswer: 4*(f - 2)*(f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 + 21*j + 42. Determine s(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 751 is divided by 41.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 36833435 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 656751?\nAnswer: 3, 179, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 2*m**3 + 46 + 56*m - 34.\nAnswer: -2*m**3 + 56*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-27)\/(-6)*40\/6 is divided by 24\/15*(-1)\/2*-15 + -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-3*sqrt(833)*1*-4)**2 - (-4 + sqrt(833) + 2 + sqrt(833) + -1 + 0)) + -4.\nAnswer: -599761 - 14*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -7. Suppose -d*m - 2*u + 18 = 0, 1 = -m + u + 7. Suppose -m*y + 85 = 15. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 125\/30 + -4 + 7805\/42?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 5*c = 4. Suppose -q + c*q = 3. Suppose s + 81 = v - 2*s, q*s = -2*v + 180. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5361 or -5042?\nAnswer: -5042","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (24\/168 - (-35658205)\/(-14))\/((-8)\/16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**3 + 2*y**3 - 2*y**3)*(-434*y - 1240 + 1240)*(-y - 3*y + 5*y + (-1 - 3 + 0)*(3*y - 3*y - 2*y)).\nAnswer: -3906*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 312.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 35961526 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -2*c + 16, -4*c + 0 + 16 = 2*k. Is 229 + k + 0 - 4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9.005 + 9. Round w to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1022 - 1021. Which is the closest to 2\/11? (a) r (b) -0.9 (c) -4 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-246)\/72)\/41)\/(24*(-5)\/(-11160)).\nAnswer: -31\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 32555*g + 813869. Calculate w(-25).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -31*i + 32*i - 2*t, i = -3*t - 7 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3*(-24)\/(-70)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.791 + 0.191. Let f = y + 1.601328. Round f to 4 decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 460*f + 2329. Determine i(-5).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/4)\/((56\/48)\/((-112)\/(-40))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12 + -4 - -8*(-4263)\/(-14). Calculate the greatest common factor of 940 and p.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) -5 (b) 0.5 (c) 38 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c**3 + 332*c**2 + 686*c**2 + 3*c**3.\nAnswer: -c**3 + 1018*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 13 - 4)*(0*f + 2*f + f).\nAnswer: 27*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3714334886?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of -8\/3*p**3 + 18 - 9*p**2 + 0*p. What is the second derivative of r(d) wrt d?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*f + 29*f - 110 = 0. Calculate the common denominator of 43\/175 and (-71)\/16*f\/(-35).\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 2*p + 1)*(11*p + 5 - 3 - 1) + 3*p**2 - 2*p**2 - 2*p**2)*(-33 - 14*p + 33)*(0 + 2 + 0).\nAnswer: 644*p**3 + 56*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22991 + -22987. Solve -z = -15*h + 11*h + 6, o*h - 8 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 148 and 296?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 17*p + 12 = -2*n - 15*p, -n - p = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/1*(-1)\/3. Let j = 361 - 361.049. Which is smaller: j or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 297*y + 176*y + 2640 + 13915 for y.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**2)**19 assuming i is positive.\nAnswer: i**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 + 5)*(-5 - -5). Let f be 0 + (-2 - -4) - -4. Sort 2, x, f in increasing order.\nAnswer: x, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -445021716922 and 1.42.\nAnswer: -445021716920.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9481, 37973, 85465, 151957?\nAnswer: 237449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20880 + -8920. Suppose -20*h = -40*h + n. Calculate the greatest common divisor of 26 and h.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4376)\/12*(-6)\/176. Let d = g + -49\/4. Which is the smallest value? (a) 6 (b) -1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 897895451 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 16*r**2 - 33*r - 148. What is i(-3)?\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*g - 14 = -64 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -319*m + 317*m - 4, a + 8 = m for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - 0 - ((7 - 3) + -6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -664*b**3 - 122*b**2 + b - 197. Let h(o) = 333*o**3 + 49*o**2 + 98. Let g(c) = -10*h(c) - 4*p(c). Find the second derivative of g(r) wrt r.\nAnswer: -4044*r - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13431 is divided by 13175?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7548370 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2665916232?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 - -18. Suppose 0 = -2*l - 0*l - s + 9, -l + 3*s = 13. Let v = 73 + -69. What is the nearest to k in -4, v, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00029897135 to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24121?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 550 + 7. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 + 8*a - 2. Let p be h(7). Find the second derivative of 4*k**p - 3*k - 2*k + k - 9*k**5 wrt k.\nAnswer: -100*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 2*u + 952 = 953, -v - 2*u + 5 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 13182*y - 6591*y - 6589*y - y**4 - 2 to m*y**3 + k*y**2 + z + d*y**4 + o*y and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 181.\nAnswer: 5\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -1625*k + 485939. Calculate p(299).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g - 2*g - 6*g)*(-2 + 0 + 4) + (-3*g + 2*g + 0*g)*(5 - 3 - 3) + 7*g + 10 - 10.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2180 + 170716?\nAnswer: 173006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.026147 + 0.426147. Let m be -1 - (-1)\/(2\/(-96)). Let q be m\/2 - 3\/(-6). What is the third smallest value in q, -5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 4*j**2 - 5*j. Let f be 1\/(-5) + (-46)\/(-5). Suppose 0 = 3*d + 3*i + f, -d + 5*i = 3*d + 30. Let l be x(d). Solve -2*h + 4*h = l for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 47 = -4*s, 0 = -0*o - 3*o - 3*s + 51. Is 20 equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**4 + 20*s**3 + 10*s**2 - 20*s - 15.\nAnswer: 5*(s - 1)*(s + 1)**2*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*y + 8. Suppose -s - 2 = -5*j, j = -y*s + 2*j - 13. Let d(i) = -i**3 - 6*i**2 + 5*i - 4. Determine d(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 420\/10 + (-10725)\/165?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - a - 4*z = -52, 0 = -4*a - 2*z + 38. Suppose a + 4 = 4*j. Factor -2*b**2 + 13*b - b**j - 9*b - b**3.\nAnswer: -2*b*(b - 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 281 + 261 = 0. Let n = -37 + 69. Let k = n + i. 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 d = 4 + -1. Let a be (d + 6)\/(-3)*-1. Solve -2*z + 3*b = 14, -z + a*z - 2 = -5*b for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zubzzbzzub. Give prob of picking 2 b and 1 z.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 296597.8 - 3.73\nAnswer: 296594.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12816*f**4 - 15084*f - 845524916.\nAnswer: -51264*f**3 - 15084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 301796 is divided by 5389?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -76267 (base 8) to base 3\nAnswer: -1121210111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 176 + -173. Let n(o) = 809*o**2 + o**3 - 2*o + b + 9*o + 2 - 812*o**2. Let l be (-18)\/8 - 4\/(-16). Let f(w) = -w**2 + 3*w + 2. Give l*n(x) + 5*f(x).\nAnswer: -2*x**3 + x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 7.17 * 8.7\nAnswer: 62.379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 5 + 3*k + 2 + 6*k**2 - 5*k**2 - 11*k. Let p be r(7). Suppose -i + 4*s + 68 = p, 4*i = -2*s - 2*s + 192. List the prime factors of i.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 1:43 PM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33138 + 33140. Which is the closest to -1? (a) -4\/13 (b) -4\/5 (c) z (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1022212 (base 3) to base 13\nAnswer: -596","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6307266?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of -2*s**5\/15 + 5*s**4\/6 + 2*s**3 + 4*s**2. Determine n so that y(n) = 0.\nAnswer: -1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y - 21*y**2 + 13*y**2 + 5*y**2)*(3 + 2 - y + 0).\nAnswer: 3*y**3 - 13*y**2 - 10*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-112140)\/252*3\/5*(-35)\/105\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -29*q**4 + 5*q**2 + 25*q + 5. Let u(a) = -43*a**4 + 7*a**2 + 38*a + 7. Let l(o) = -5*u(o) + 7*v(o). Find the second derivative of l(y) wrt y.\nAnswer: 144*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c**3 - 2*c**2 + c + 1. Let n be g(-1). Solve 5*k - q = 15, -3*k + n*q - 3 = -3*q for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -14*k + 11*k. Calculate the remainder when 26 is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 AM and 9:58 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1706\/5 (b) -4 (c) 2\/7 (d) -8.25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2859\/(-318) - -12*117\/156\nAnswer: 1\/106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -98205.112*-0.2.\nAnswer: 19641.0224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, y: 3}. Give prob of sequence lyyy.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*z**4 - 39*z**3 + 6*z**2 + 23*z - 25.\nAnswer: -24*z**2 - 234*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 309896 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 41467, 42375, 43283?\n\"Answer: 908*c + 40559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/(-18))\/(11\/(-198)). Solve 35 = -w*g + 11*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -49 + 28*i**2 + 20 + 24 - i. Is a(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w**2 - w. Let d = -162300 + 162455. Calculate the remainder when d is divided by l(-6).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -79647 less than -557523\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 592*107\nAnswer: 63344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 295.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/6? (a) 4 (b) 2 (c) 165 (d) 230 (e) 3 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6941?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 89540.26 millennia?\nAnswer: 8954026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -122 times -280.1\nAnswer: 34172.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12237750 a multiple of 290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156315 is divided by 327.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 326000 rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1464276 and 77.\nAnswer: 10249932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.7 + 0.4. Let i = 0.4542 + 0.0458. Sort 5, i, h in decreasing order.\nAnswer: 5, i, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9805948 - 0.2\nAnswer: -9805948.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1))**42*(a**(-1\/4)\/a*a*a)**(-10\/7) assuming a is positive.\nAnswer: a**(-603\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-3 - (-3 - (3 + -5))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f + 5*o - 7, -5*f - 17*o + 20*o - 19 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**2. Let l(u) = -2*u**3 + 10*u**2 + 13*u - 23. Calculate 5*b(q) - l(q).\nAnswer: 2*q**3 - 13*q + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**3)**(-5) assuming j is positive.\nAnswer: j**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 3*z**2 - z + 3. Let q be y(3). Let m(x) = 7*x + 72. Let h = 96 + -106. Let p be m(h). Solve q = p*u - 4*u - 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1215197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 21767 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23*j**4 + 4494 - 4494 + (j**2 - j**2 - 2*j**3)*(-3*j + 2*j - 3*j) + (3*j**3 - 4*j**3 + 3*j**3)*(3*j - 3*j + 2*j).\nAnswer: 35*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -1. Let l(h) = -76*h**2 - 211*h - 4. Let c be 0 + -1*2\/(-1) + -3. Let v(q) = c*l(q) + 4*u(q). Find the second derivative of v(d) wrt d.\nAnswer: 152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of -15*o - 1\/2*o**3 + 0 - 1\/2*o**4 + 3\/20*o**5 + 3*o**2. What is k in j(k) = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**0)**(2\/73)*(w*w**2\/w*w)\/(w*w**1*w)*(((w*w**(-1\/4))\/w)\/w)**(-2\/51)*((w*(w*w**(1\/4))\/w*w)\/w)**(7\/3) assuming w is positive.\nAnswer: w**(44573\/14892)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/12 and -97\/231.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.4 + -148.4. Let t = 15923639.16 + -15923496.1599854. Let c = z + t. What is c rounded to 6 decimal places?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49516931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 101 - 7. What is the remainder when y is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47*o**2 - 19*o**2 - 28*o**2 - 31*o**4 + 2*o**3 - o to i*o**4 + q*o + y*o**3 + k*o**2 + z and give i.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9860?\nAnswer: 2, 5, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2. Let t = 0 + -1. Let o = 1 - t. Let s(i) = -o*i + 2*i + i. Determine s(a(z)).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x*(x**3*x*x)\/x)*x*x)\/(x\/((x*x*x**(-2\/9)*x)\/x*x)))\/(x\/(x\/(x*(x*x\/x**(-2))\/x))*x)**12 assuming x is positive.\nAnswer: x**(-533\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 0 + ((sqrt(114) + 2*sqrt(114))\/sqrt(6) - (sqrt(19) + 0 + 2*sqrt(19) - sqrt(19))).\nAnswer: -3 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 r when three letters picked without replacement from {z: 5, r: 2, v: 6}.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffdddf. What is prob of sequence ff?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103491?\nAnswer: 3, 3833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.367326 hours to milliseconds.\nAnswer: 30122373.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*s*x**3 - 3*s - 157*x**4 - 412 wrt x.\nAnswer: 18*s*x**2 - 628*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 154960 to the nearest ten thousand.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-5))\/((-7)\/(-140)). Let w = 5 + j. What is the units digit of w*(-1)\/(-6)*-62?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(3\/11)*r*r\/r**(-12\/7)*(r**(-2\/17))**(9\/10) assuming r is positive.\nAnswer: r**(25402\/6545)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -10*(-1050 + 7 + -7).\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22237\/175980 + 30\/419. Calculate the common denominator of r and 53\/30.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*h + 574*h + 287*h as n*h + m and give n.\nAnswer: 837","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 10:56 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 61 + 3 - 45 - (0 + 3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - (25\/15 + -2). Let t = a - 3\/4. Find the common denominator of t and 115\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2216.4 and 22.\nAnswer: 2238.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + (-1 + 1)\/2. Suppose -o + 5 + 8 = k. Let t = o + -4. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**4\/3 + 13694*d**3\/3 - 9122*d**2 - 95822*d\/3 - 54760\/3 = 0.\nAnswer: -1, 4, 6845","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/4 (b) -1\/6 (c) 48\/143 (d) -5 (e) 1\/10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 83 + 137. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4*h - 234 = 16, 3*m - 4*h = 670. Suppose 3*v - 6*v = -2*k - m, 4*v = -5*k + 345. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) -4 (b) 0.09752 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u**2 + 3369*u + 3372 = 0 for u.\nAnswer: -1, 1124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -776.2 + 682. Round l to zero dps.\nAnswer: -94","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -k + 56. What are the prime factors of k?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 10:50 AM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -11124 divided by 1\nAnswer: -11124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11898 - -21996. What are the prime factors of d?\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -197546\/5 + 39512. Determine w, given that 2\/5*w**4 - o*w + 18\/5*w**2 - 2*w**3 + 4\/5 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**5\/(l**(-7)\/l)*l**2\/l**(-7\/3) assuming l is positive.\nAnswer: l**(52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2016*n + 866*n + 12625 = 309471 for n.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*g + 4*w - 65, 0 = -4*g - 5*w + 77. List the prime factors of 457\/5 - g\/45.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-2))\/(2\/(300\/(-315)))*42\/(-24).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64256188.\nAnswer: 2, 491, 32717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zlzddhdd. Give prob of picking 2 z.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2319, 2, -16, -5, 3 in ascending order.\nAnswer: -16, -5, 2, 3, 2319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*h - 93*h - 28 = 0. Calculate the remainder when 333 is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(3 + sqrt(153)) + sqrt(153) - sqrt(153) - (sqrt(153) + -1*sqrt(153)*6)) + (sqrt(153) + 4*sqrt(153)*-1 + 2 + sqrt(153)*1)*6)**2.\nAnswer: 216*sqrt(17) + 22041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/((-18)\/(-4))*3)\/(680\/5100).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -239284 + 1196704\/5. Suppose -8 + 409\/5*z**3 - 618\/5*z**2 + u*z - 7*z**4 = 0. Calculate z.\nAnswer: 2\/7, 2\/5, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**2. Let u(y) = -1363*y**2 - 406*y. Let c(q) = 20*q**2 + 6*q. Let d(h) = -203*c(h) - 3*u(h). Give o(d(a)).\nAnswer: 1682*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 140735 + -3713?\nAnswer: 135022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001294343806 to 5 decimal places.\nAnswer: -0.00129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 5 = -i, i - 1 = -z. Suppose 6*d - 9*d + 72 = z. What is the highest common divisor of d and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, y: 2, r: 1, j: 2, l: 1, e: 2}. What is prob of sequence yyd?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1453 + -1458. What is the nearest to 2\/645 in -0.5, m, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38500 - 38446. Solve -31*h = -40*h - n for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3412 + -2290. Is 11 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 208*h**4 + 3*h**3 + 3*h**2 + 67705 wrt h?\nAnswer: 832*h**3 + 9*h**2 + 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -162*b**5\/19 - 504*b**4 + 8608*b**3\/19 - 1920*b**2\/19 = 0.\nAnswer: -60, 0, 4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9780018\/65 + 150469. Let c = y + -31\/13. Find the common denominator of 57\/(-44) + 42\/56 and c.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**5 - 2*f + 2*f + (-2*f**4 + f**3 - f**3)*(3 - 3 + 2)*(-2*f + f + 3*f).\nAnswer: -7*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 89 + 2 = 0. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 1673.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, 3\/2, 4\/5, 0, -1911 in descending order.\nAnswer: 3\/2, 4\/3, 4\/5, 0, -1911","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (-5 + sqrt(13) + 3) - sqrt(13) - (sqrt(78)\/sqrt(6)*2 - sqrt(13)))**2.\nAnswer: -8*sqrt(13) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42 + -44. What is the common denominator of ((-95)\/(-38))\/(((-4)\/17)\/l) and 29\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8816261 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1290\/(-602) + 83\/42?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -818253*f**2 - 16710*f - 2 wrt f.\nAnswer: -1636506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 5936.1, -0.2, 0, 3, 7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 38, -4\/5, -0.5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -79.6475 to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 24 = -24 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2834 divided by 559\nAnswer: 218\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135599 is divided by 7976?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -2810, -158, 2, 1 in ascending order.\nAnswer: -2810, -158, -1, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 8*p**2 + 11*p - 38. Give a(3).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 431 + -421. Suppose 5*r = -3*b - 17, -3*r - 2*b - 3 = 8. Which is bigger: r or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 + 43. Let l be (115\/t)\/((-1)\/(-4)). What is the greatest common divisor of l and 184?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 69017958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -683, -689, -695, -701?\nAnswer: -707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) + (-3 + sqrt(567) + -1)**2)*3 + (sqrt(14) - sqrt(126)*1)\/(sqrt(16)\/sqrt(128)).\nAnswer: -197*sqrt(7) + 1749","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 2*p + 6*p)*(-1 - 4 + 3) + (-3 + 2 + 2)*((p + 0 + 0)*(0 + 0 + 2) - 2*p + 4*p + 0*p + 2 - 2 + p + 2*p + 3*p - 4*p).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + (15 - (33 - 14)) - 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35357727 is divided by 73970?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (44\/(-6))\/(2\/(-3) + 0). Suppose 0 = -4*i - 1 - 3. Let j be (20\/25)\/(i\/(-5)). Solve g + 2*g - n = -j*x, 4*x - 8 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 + 14*k + 15. Determine s(15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*z - 24*z - 480 = 0. Calculate the remainder when z is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 20365642 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 14) to base 4.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (24\/7)\/(-4)*-7. Let b(d) = -d**2 + 8*d - 4. Let j be b(k). Factor -4*h**4 + 2*h**4 + 6*h**2 - 2 - j*h**3 - 8*h - 18*h**2.\nAnswer: -2*(h + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 15232085 + 51625619 = 0. Suppose 0 = -8*b + 2*b - w. Let n = 1161863 + b. Round n to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49746549?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 13 (b) -6 (c) 0.035 (d) -1\/2 (e) -0.3 (f) 5 (g) 1\/9\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-4)*l*l)\/l*l\/(l\/l**5)*(l\/(l*l\/(l\/(l**(1\/8)*l))))\/((l*l*l**(-2)*l*l)\/l))\/(l*(l\/l**(1\/4))\/l*((l\/l**(-1))\/l)\/l)**(-22) assuming l is positive.\nAnswer: l**(131\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.11 (b) 14 (c) -2\/9 (d) -474 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (567\/63 + (-1)\/3)*27\/(-6) + -6\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) -3\/2 (c) -116 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.5, -0.2, -2\/5, -1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 v, 1 q, and 1 d when four letters picked without replacement from {d: 2, v: 1, w: 2, h: 2, j: 3, q: 2}?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 175881 and 3151?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 137\/44 + -11\/4. Is -2\/3 at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 610, 2139, 6250, 14233, 27378, 46975, 74314, 110685?\n\"Answer: 215*f**3 + f**2 + 21*f + 373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17274203 - -204424203. What is r rounded to the nearest 1000000?\nAnswer: 187000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 50*f**2 + 16238904*f + 1299112.\nAnswer: 2*(f + 324778)*(25*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2*r - 2 + 3*r)*(4 - 4 + 2)*(-7 + 3 - 1) in the form t + o*r and give t.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from hmugmummghhmm?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.47 to 0 dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide ((-9)\/4)\/(27\/(-72))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-48)*(-20)\/50.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -1. Let x(i) = i**2 + i + 1. Let a(n) = 2*m(n) + x(n). Let c = -197 - -194. Calculate a(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1716 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-2\/9)\/z)**(-40))**22*(z**(-8\/7)\/(z\/(z**(-2)\/z)))**(45\/2) assuming z is positive.\nAnswer: z**(5030\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3579 minus -2841.54?\nAnswer: 6420.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 + -27. Let g be (4 + -3)*(-2)\/((-4)\/2266). Suppose -2*m - g = -5*x + 761, 3*x = o*m + 1125. What is x rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.113363306 to 2 dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 7.2 and -1.139525294.\nAnswer: 6.060474706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -7445.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 7:57 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -3*s - 3. Let p be j(-3). What is the third derivative of -12*n**4 + 12*n**4 + n**2 + 2*n**p - 2*n**2 wrt n?\nAnswer: 240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.2068 rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 77854 + 77853 + y**2 - 155706 + 0*y - 2*y + 14*y**3. Suppose 2*c = -c - 5*g + 18, -g = -4*c + 1. Determine t(c).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*z - 544 - 389 = 201 for z.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, e: 1, q: 2, f: 1}. What is prob of sequence uuq?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 389.\nAnswer: -2\/389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3139.91 + -3160. What is p rounded to 0 dps?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-10)\/5)*(-24)\/(-40).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from qhyhyygyyygyyy?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -397, 776, 7 in decreasing order.\nAnswer: 776, 7, 3, -397","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -982 (base 12) to base 11\nAnswer: -1058","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-3))\/(1 - 0). Which is smaller: 2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 4)*(5 - 2 - 2)*(-q + 3*q - q) + (-2*q - 8 + 8)*(3 + 0 - 1) + 3*q + 3*q - q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2 = k - 4*k, -2*k - 6 = -4*f. Calculate the remainder when 29 is divided by 13 + (f + -4)*1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4467333 to the nearest integer?\nAnswer: 2114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 2:12 PM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.420854 + -190435.420854. Let c = j - -190426.0941. Let q = c - -8.9. Round q to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6548267 is divided by 2802?\nAnswer: 2795","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*g - 115 = 21*g. Suppose 0 = -25*b + g*b. Suppose 4*l - 772 = -5*p, b = 3*p + l - 3*l - 472. Is p a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1498*l + 1426*l + 1584 = 0 for l.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20123896 and 4256978?\nAnswer: 221362856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 24082 at most as big as 24065?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1218 - -2240?\nAnswer: 1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 3\/2441 (b) -5 (c) -3\/7 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is s in s**2\/4 - 25*s + 1771\/4 = 0?\nAnswer: 23, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -6. Let l = -0.5 - -2.5. Let t = 1.7 - l. What is the nearest to -0.1 in -5, t, o?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*r**3 + r**2*w + 31*r**2 - 61*w + 1 with respect to r.\nAnswer: -6*r**2 + 2*r*w + 62*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2250\/17 (b) 8 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 23218, 46516, 69876, 93328, 116902, 140628, 164536, 188656?\n\"Answer: 5*o**3 + o**2 + 23260*o - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**2 + 0*a**2 - 2*a**2 + (-1 + 1 + 2)*(-1 - 2*a**2 + 1) + 3*a**2 - a**2 + 3*a**2 + (-3 + 3 + 4)*(3*a**2 - 4*a**2 + 2*a**2).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of -i**5\/70 - i**4\/42 + 2*i**3\/21 - 2*i. Determine j, given that z(j) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*n - 25, -4*h + 3*n + 1565 = 0. Let t = 436 - h. Suppose -d = -4*c - 16, 2*c - 51 = -4*d + 5*c. What is the remainder when t is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + 7. Suppose -3*d + 5 = 2*m, d = -2*d + q. Let o = 12 - 8. Which is the smallest value? (a) 5 (b) o (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5458 and -4?\nAnswer: 21832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*g**2 - 6*g**2 - 843 + 132 - 23 + 0*g**2 - 672*g**3 wrt g.\nAnswer: -2016*g**2 - 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, e: 1, v: 2, c: 2, r: 2}. Give prob of sequence vr.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 6:13 PM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -87, -25, -6, 1, 5, -40.\nAnswer: -87, -40, -25, -6, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-1360)\/20 - 13332\/(-220)\nAnswer: -37\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46475282219 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a tonne in kilograms?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -516 greater than -518?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 (base 5) in base 15?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000055928 to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 u when four letters picked without replacement from {u: 3, c: 7}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 9 = -1. Let y be 0*((f - -2) + -1). Let w(k) = y*k + 0*k - 2*k. Let n(x) = 3*x**2. Determine w(n(d)).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 4*g**2 + 5*g + 6. Let h be n(-1). Let d be ((-3)\/6)\/(2\/(-12)). Which is the nearest to 1? (a) 2 (b) h (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 divided by -77?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.143 * -5\nAnswer: -0.715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 13*q**2 - 17*q + 29. Let n be o(11). Let b(j) = -n + j + 84. Let z(c) = -5*c - 2. Calculate 6*b(l) + z(l).\nAnswer: l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31 - -150. Suppose 0 = -2*k - 9 + 297. Suppose 0 = 2*f - 3*s - o, -5*f - 4*s = -297 - k. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 326256*f**2 - 105564?\nAnswer: 652512*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 4, 1\/5, -0.5, 3\/16, -0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 5*g - 3. Let m be o(2). Is (-14 + m)\/(0 + -1) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130055476.\nAnswer: 2, 461, 70529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r + 255 - 1362 = 0. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -30800700?\nAnswer: 30800700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*l + l + 2*l + l + 3 - 3 + 2*l - 4*l + 3*l + (1 - 3 + 3)*(l + l + 0*l) - 106 - 492*l - 98 + 203.\nAnswer: -490*l - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 2076*n + 4150*n - 2061*n.\nAnswer: 13*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -5844\/234137 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6001, -23905, -53815, -95731, -149653?\nAnswer: -215581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - (1 - -3 - -3)\/(-9). Let u = -94\/9 + p. Is u less than or equal to -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 10274 = -13718. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 + 5*c + 4. Suppose -5*n = -4*k + 17, n - 2*k = 2*k + 3. Let i be b(n). Solve i = 4*o - 3*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 50, 1\/5, 0.4?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7650*d**3*h*k**2 + 2*d*h*k**2 - 46*d*k**2 - d + 5*h*k - 2*h wrt d?\nAnswer: -45900*d*h*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 386157\nAnswer: -1\/386157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10873561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1116 = 136*a - 516. Calculate the greatest common divisor of a and 2148.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m. Let z(d) be the first derivative of -d**3\/3 + 253*d + 536. Calculate x(z(j)).\nAnswer: -2*j**2 + 506","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 663600?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13)*-3*4 - sqrt(39)\/(sqrt(3) + sqrt(27)).\nAnswer: -49*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 328\/5 bigger than 1.54?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**7\/(u*(u\/u**0)\/u))\/(u**(-4)*u\/u**5) assuming u is positive.\nAnswer: u**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mbi when three letters picked without replacement from {e: 3, m: 6, s: 7, i: 2, b: 1}?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -s - 3*p - 12, -5*s - 3*p = 12. Which is smaller: s or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b + 23. Suppose -h = -2*h. Does 8 divide z(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 o, and 1 x when three letters picked without replacement from omxattc?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = -0*f - 3*f + 4*p, 4*f - 5*p = 124. Let y = f + -26. Suppose 3*c + 28 = z - 2*c, 32 = 4*z - 4*c. What is the least common multiple of z and y?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 divided by -38\nAnswer: 17\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169753 is divided by 6057.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u - 9 + 19 - 15. Let h be l(-4). Let m(p) = -p**3 + 83*p**2 + 79*p + 425. Let k be m(84). Which is the nearest to 1\/4? (a) h (b) k (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 483*q - 481*q + 5*o = 96994, -3*o = 18. Is q a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 124 + 27. Let n = t - 105. What is the remainder when n is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7153.013322 - -7153. Round a to 4 dps.\nAnswer: -0.0133","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 1102*l = 4*p + 1098*l - 16, 2*p = -4*l + 14 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 - 1.2. Suppose 0 = 2*w - 3*u + 1, 3*w - 9 = 4*u - 3*u. Let i be (2 + -1)*4\/(-24). What is the closest to l in i, 1, w?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 4, -10.77?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22363*u**5 + 19*u**2 + 270 wrt u.\nAnswer: 1341780*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -z + 5*n - 7, 3*z + 9 = 5*n. Suppose 3*v = w - 3 - 7, 5*v = -3*w + z. Solve w*s = s - 15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.4 + 5.4. Let j = 0.4 + -0.8. Which is the closest to -2? (a) j (b) -1\/4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 630 and 378?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 8083880373?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -509\/76 + 106737\/16340. Calculate the common denominator of g and 56\/473.\nAnswer: 4730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/5)*m**1)\/(m**(3\/5)*m*m**(1\/4)\/m))\/(m**(3\/8)*m\/(m**(-2\/7)*m)*m*(m\/m**0*m)\/(m\/(m*m*m\/m**(-4)))) assuming m is positive.\nAnswer: m**(-2607\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -99 - (-26 - (134 - -69))?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 8663636 and 2\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -29 + (-30 - (-71 - -6)) - (12 - (0 - -1))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13 + -144642?\nAnswer: -144655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 589 = 55*d - 126*d + 2861. What is the lowest common multiple of 10\/(-4)*(-16)\/20 and d?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, u: 6}. What is prob of picking 2 u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*w**2 - 3*w**3 - 6*w**2)*(2 - 2 - 2841*w - 2869*w + 2833*w) in the form s*w**4 + b*w**2 + n*w**3 + c + l*w and give s.\nAnswer: 8631","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -833*k + 53*k - 963*k + (-4 + 0 + 2)*(2*k - k - 2*k) - k + 3*k - 3*k.\nAnswer: -1742*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(2\/4)*115\/1265?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 3*l**2 + 2*l - 9. Let i be y(-4). Let w be i\/(4\/(-312)*3). Let d(k) = -11*k + w*k - 14*k. Let a(m) = -22*m**2. Determine a(d(z)).\nAnswer: -22*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 8574 and -2583.0201?\nAnswer: 11157.0201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -1121 (c) -5\/4 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -63800, -255150, -574052, -1020506?\n\"Answer: -63776*g**2 - 22*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12018 is divided by 250.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 427205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m**(3\/10))*m\/m**9*m)\/((m*m*m*m\/(m**(-2)*m)*m)\/m)**13 assuming m is positive.\nAnswer: m**(-723\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000263585553 rounded to six decimal places?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 + -2)\/((-174)\/18 + 9). What is the nearest to 1 in 0.5, t, 25?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2392917*b**2*y**3 - 61*b**2*y - 2*b*y**2 - 2*b + 12113*y**2 wrt y.\nAnswer: 14357502*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert e6 (base 16) to base 3.\nAnswer: 22112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 84574680 divided by 5\nAnswer: 16914936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -6*y + 13 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -197 in -35633, 0, 1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 7*t**2 - 5*t + 1. Let d be u(6). Suppose 20*a - 6 = 17*a. Differentiate -a + 271*p**3 - d - 268*p**3 with respect to p.\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25181 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/22 + 244\/671. Which is the closest to -0.1? (a) k (b) 35 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(11) + sqrt(704)*3 - sqrt(99)\/(sqrt(27)\/sqrt(3))).\nAnswer: 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -7*z**2 + 9. Let b(h) = h**2 - 1. Let j(r) = 36*b(r) + 4*s(r). Let n(q) = -q. Determine j(n(w)).\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2*m = 13, 0*w - 4*m + 10 = 2*w. Let s(a) = -3*a**2 + a**w + 5 - 7*a**3 + 2*a + 4*a**3 + a**3. Does 13 divide s(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 134550 and 18200.\nAnswer: 3767400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - 11 + 11)*(2*h**2 + 32*h**4 + 1 - 36*h**4 - 3).\nAnswer: 4*h**5 - 2*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3 - 53*i**2 - 616*i + 2352.\nAnswer: -(i - 3)*(i + 28)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fppp when four letters picked without replacement from pfppppf.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (193*b + 212 + 188*b - 379*b)*(-4 + 0 + 1)*(-3*b + 5*b - b).\nAnswer: -6*b**2 - 636*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 4:52 AM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 5*n - 2. Let l(r) = 36*r - 15. Let x(k) = k**2 - 7*k - 2. Let m be x(6). Let z be 2\/m + 21\/(-12). Determine z*l(v) + 15*b(v).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/12 + 2\/(-3). Sort -3\/7, 0.05, h, 0.3 in increasing order.\nAnswer: -3\/7, h, 0.05, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(495) + sqrt(495)*2)\/sqrt(9) + sqrt(55)))\/(sqrt(44)\/(sqrt(40)\/(3*sqrt(10)) + sqrt(4) - sqrt(4))).\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 - 22. Which is smaller: 0.3 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-44*y - 10*y**3 + 44*y)*(245*y - 1575*y + 468*y - 1372*y) + y**4 - 5*y**4 + 5*y**4 to the form p + f*y**4 + r*y + u*y**3 + a*y**2 and give f.\nAnswer: 22341","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23 - -7)\/4 + 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1659 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1235957 is divided by 1235478.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 (base 12) in base 8?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -43753 >= -43766?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2033353 is divided by 8069?\nAnswer: 8034","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16370 is divided by 38?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -732, -756, -770, -774?\nAnswer: -768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-34 + 9 - -8).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 w when four letters picked without replacement from {w: 5, g: 5, y: 3}.\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 549367 (base 10) in base 5?\nAnswer: 120034432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 338 - 303. Is 36 greater than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1132 - -239. Let x = -896.91 - i. Let a = x - -3.910159. Round a to five dps.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -262344, -524929, -787514?\n\"Answer: -262585*c + 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 3*m + 2*m. Solve m = -s - 4*v - 4, -s - v = -3*s + 10 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - f - 4 = 4, 5*f - 17 = -l. Let h = -1 - l. List the prime factors of ((-65)\/20)\/(h\/(-8)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5c + -101?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3794030791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -66 * -0.596.\nAnswer: 39.336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 26*k**2 - 51*k - 33. Let v be m(30). Find the third derivative of -1752*u**5 + v*u**5 - 66*u**2 - 4*u + 4*u wrt u.\nAnswer: 17100*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -2 (c) -41 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 3*k + 13 - 12, -2*h - 6 = 2*k. Let t(b) = -25*b - 1. Let c(w) = -62*w - 2. Give h*c(u) - 12*t(u).\nAnswer: -10*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33020\/(-25400)*5\/52?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 73 + -73. Put -0.3, -0.2, 4, j in decreasing order.\nAnswer: 4, j, -0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 112 and 2276?\nAnswer: 63728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14.21 - 67.33. Let w = -54 - i. What is w rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1 (b) -0.08 (c) 611 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 5 (b) -6.4 (c) -2\/5 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10830535?\nAnswer: 5, 97, 137, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-18)\/24 + 3\/4. Let p be (3*8\/6)\/1. Solve 2*k - 17 = -4*t + 5*k, d = -p*t - 3*k - 1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 485 = 3*v + 458, 4*v + 3*n = 31 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 502 + -499. Put m, -4, -58 in descending order.\nAnswer: m, -4, -58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -86 - (86 - 239) - 15\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-5)\/(-10))\/(2\/(-8)). Let x(y) = 6*y**3 + 2*y**2 + y. Let l(m) = -m - 1. Let w(t) = -3*l(t) - x(t). Is w(d) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 5*r + 10*r = -170, 0 = z + r - 40. Suppose -z = 4*c - 133. Suppose -c = -u - 0. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*w + 1288560 = 29*w. Is 177 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24 + 1 + 14 - 19) + 8?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 178 and 14.\nAnswer: 1246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 9, 0, 1.\nAnswer: -5, -2, 0, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 28, -2, 0, 5, 318 in increasing order.\nAnswer: -6, -2, 0, 5, 28, 318","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 36\/1721?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100200 (base 3) to base 12.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1301 or -9.39?\nAnswer: 0.1301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 10021.\nAnswer: 4\/10021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6932 divided by -6?\nAnswer: -3466\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2523 - 2518. Let r(l) be the second derivative of 6*l + 0 - 1\/60*l**a + 0*l**4 + 0*l**2 + 1\/18*l**3. Determine z so that r(z) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -34*u**2 - 54*u - 34. Let k(q) = -7*q**2 - 11*q - 7. Let c be 1\/(-3)*-6 + 1. Let g(t) = c*h(t) - 14*k(t). Find l such that g(l) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from sssssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 20706 = k - 20693, -3*a - 7 = 4*k for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -5, 17, -3, -13 in decreasing order.\nAnswer: 17, -0.4, -3, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 124 = 56. Let d(z) = -4*z**2 + t - 7*z**2 - 37 + 35*z**2. Determine d(1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 2:26 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 106275 divided by 327\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of -c**5\/20 + 5*c**2\/2 + 3*c. Find the first derivative of s(a) wrt a.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 6*g + 62. Let s = 124 + -134. Let p be r(s). Let o = 11 - 7. Solve 3*m - p = o for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1718, -3443, -5168?\n\"Answer: -1725*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/15*(-120)\/432.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1700*f - 1137*f - 44232 = -1280*f for f.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -971.137 to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of -n**3\/3 + n**2\/2 + 3*n - 9. Let s be o(7). List the prime factors of 3 - 7 - (s - 0).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 370 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172 is divided by 53?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, b: 2, e: 1}. Give prob of sequence bg.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**3 + b**3 + b**3)*(b - 3*b + b) + (4*b - 3*b + 2*b)*(8*b**3 + 1 - 1) + 4*b**4 - 6*b**4 - 123*b**4 - 73*b**4.\nAnswer: -176*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7, b: 6, j: 2}. What is prob of picking 1 c and 3 b?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -83111 - -83111.0144077. Round r to four decimal places.\nAnswer: 0.0144","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 2.3. Let k = d - 0.7. Which is the third biggest value? (a) 0.1 (b) k (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -313001030012 + 4?\nAnswer: -313001030003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 + 3 + -2 - -38. Let w = t - 32. Sort 5, w, -3, 0.\nAnswer: -3, 0, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42 - 33 + 121 - o**3 - 46 + 41234*o to the form g*o**2 + k + y*o + d*o**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110110 - -111?\nAnswer: -11101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7235114?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -195107440*c**3 - 291733795 wrt c?\nAnswer: -585322320*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 23732*i + 203. Is d(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((11 + 5 + 4)*(s + 4*s - 2*s) + 4*s - 4*s - 2*s + (s + 3*s - 2*s)*(0 - 3 + 1) + s - 2*s + 2*s + 3 - 3 - 2*s)*(4*s**2 - 5*s**2 + 3*s**2).\nAnswer: 106*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 4*x + 7403. Is q(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -250*l - 13329 + 13338 + 276*l. Let i(o) = -16*o. What is i(j(t))?\nAnswer: -416*t - 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 243 or -1105?\nAnswer: 243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*h - 3*h - h)*(-20*h**3 + 7*h**3 - 43*h**3) - 40 + 3*h**4 + 40 - 12*h**3 + 12*h**3 - h**4 - 5 as g*h**2 + v*h**3 + a*h + z*h**4 + m and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 55641 to the power of 1\/2, to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 4*h**2 + h + 2. Let f be a(-4). Is 21 a factor of f\/(-1*2\/73)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -13. Let g be ((-480)\/p)\/((-14)\/8750). Round g to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -11. Which is smaller: r or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2893 and 1673.63.\nAnswer: -1219.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(2\/39)*j**(2\/37) assuming j is positive.\nAnswer: j**(152\/1443)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j - 5*g - 17, 5*j + 0*g + 15 = -g for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*r + 634 - 154. Solve 2*g = -17*q + r*q, 2*g = -4*q - 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**3\/3 - 52*m**2 + 730*m\/3 = 0. Calculate m.\nAnswer: 0, 5, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 29, 24, 5, -34, -99, -196?\n\"Answer: -u**3 - u**2 + 5*u + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3950 + 6670. Is y a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = t + 2*t. Suppose -2*f + 20 = -5*g, t*f + 3*f + 4*g - 116 = 0. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.246797027 + 2.456798767. Let j = 2.21 - k. Round j to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m**4 + 1840*m**3 + 28476*m**2 + 26640*m = 0. What is m?\nAnswer: -444, -15, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3114358777050 - -4.\nAnswer: 3114358777054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 164*g - 13*g**5 - 164*g + (2*g**3 + g**3 - 2*g**3)*(-g + 3*g - g)*(4*g - g - g)*(-1 + 0 - 1).\nAnswer: -17*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, 8187, 3 in increasing order.\nAnswer: -2, 2, 3, 8187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of i**2 + 9*i + 11. Let z be v(-5). Let k(q) = 93*q**2 - 2*q - 3. List the prime factors of k(z).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 942b - 3?\nAnswer: 9428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.6 and 45.\nAnswer: -207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 188 = 5*m, 5*m - 3*v + v = 184. Calculate the greatest common divisor of 12 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*c - 142 + 82 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 3*z + 5*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59018 is divided by 29084?\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 5776\/35, 0.1.\nAnswer: 0.1, 15, 5776\/35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*m = -118*m - 12. Which is the second biggest value? (a) m (b) -0.25 (c) 22 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -3*s - 17. Calculate the smallest common multiple of q(-14) and 55.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 3 - (-3 - -2 - 10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vctv when four letters picked without replacement from vtvvvbbcvvbvtcbctvc.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -47.16 + -0.06.\nAnswer: -47.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/4*(-9)\/((-324)\/(-36))*4.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*a**4 + a**4 + a**4 + (-a**3 + 2*a**3 + a**3)*(-a + 2*a - 3*a) + (4*a**3 - 3*a**3 - 2*a**3)*(-1 - 2*a + 1).\nAnswer: 5*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 1042716*t**2 + 7 - 1042715*t**2 + 11*t + (5*t - 4*t + 0*t)*(4*t - 2*t - 3*t) - t**2 - t + t + 4 - 4 + t**2 - t + t + 2*t**2.\nAnswer: 2*t**2 + 11*t + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7302546 and 828.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 + 31. Let m(x) = 0 - 1 + 0 - 3*x**2 + 3. Let y(g) = 10*g**2 - 7. What is p*m(i) + 4*y(i)?\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from hxmomooomo?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 97938183.00000012 - 97938195. Let w = 12 + g. What is w rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.8 + -1.7. Let t = -141.6 + 141.5. Which is the closest to t? (a) z (b) 7 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 g when three letters picked without replacement from gwggxjugugjg.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r + 15, s - 87 - 3 = 30*r for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4403420031 (base 5) in base 10?\nAnswer: 9435641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 428*u - 9680 = 122*u - 280*u + 14932 for u.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from -129328002.\nAnswer: -129328001.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.04, -1\/15, -4 in ascending order.\nAnswer: -4, -1\/15, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -994863 (base 11) in base 16?\nAnswer: -183985","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 53.0917 litres?\nAnswer: 53091.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 649040 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -2*f + 4. Let n be 520\/780*(-2)\/12. What is the second biggest value in 0.06, f, n?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 + -4. Let s = d - -16.8. What is the third smallest value in s, 28, 1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-54)\/(-2 - 7) + -1. Which is the second biggest value? (a) -21\/5 (b) g (c) 1\/2 (d) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 194 - 9. Solve -5*y + 3*x - 5 = 8, 5*y + k = -3*x for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.04558 (b) 1 (c) -1\/20 (d) 1.5 (e) 2\/3 (f) 1\/6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -508 - -534. Calculate the remainder when 71 is divided by b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*a + 3 - 135. Calculate the greatest common divisor of a and 87.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, j: 1, b: 1, m: 2}. Give prob of sequence jaa.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 26*o - 834*o**2 + 136*o**2 + 2982*o**2. Let q be a(-4). What is q rounded to the nearest one thousand?\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 2 = -26. Suppose -h*x - 4*q = -540, 4*x = -4*q + 3*q + 537. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 3\/10 (c) 1\/3 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-306)\/7 - (-16)\/(-56). Is (-2)\/4*m\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 10*q**2. Let m(y) = -y**2 - 3*y - 4. Let l(j) = 24*j**2 + 66*j + 88. Let k(u) = -4*l(u) - 88*m(u). Calculate k(s(b)).\nAnswer: -800*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 899 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 321082012?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5759 - 3466. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1152 is divided by 106.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-845)\/5 + 1)*-1. Let d = 167 - k. Let i(t) = 6*t**2 - 6*t. Let q(z) = -z**3 - z**2 + z. Give d*i(m) - 6*q(m).\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*z + 342 = -t + 881 - 434, -5 = -t + z for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**3 + 5*h**2 + 6*h + 2. Let c(k) = k**2 + k. Let s be 18\/4 - 6\/60*15. Suppose -316*j - s = -313*j. What is j*t(o) + 6*c(o)?\nAnswer: -2*o**3 + o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 - -36. Let m(q) = -8 + k - q - 6. Give m(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 3*n + 30, 2*n + 17 = -2*p + 5. Determine w, given that 1\/5*w**3 - 2\/5*w + n - 1\/5*w**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u + 17. Let d be c(18). Suppose -5*q = 5*v - 6*q - 3, 4*v = 5*q - 6. Let k be 3\/(18\/(-15)) + v. Is k less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43 - 39. Suppose -5*r + p*y + 27 = 0, 4*y - 2 - 1 = -5*r. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6669.71 days to milliseconds.\nAnswer: 576262944000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12749931.\nAnswer: 3, 19, 74561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(833)*-1*-6.\nAnswer: 42*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - 7. Suppose 2*i - q - 1 = 0. Let x = -8 + 13. Solve -x*a - 17 = i*m, -3*m + 10 = -5*a - 21 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15675164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 1296 = 9*y + 1226, 5*y - 5 = -4*f for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 PM and 2:56 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11028 and 172.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 5*p**2 + 1 + 0 to the form i*p**2 + d + c*p and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.04 in -1\/3, -5\/2, 6\/5, -3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -897*l = -889*l - 142744. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one twentieth of a minute?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -193414002, -193414001, -193414000, -193413999, -193413998, -193413997?\nAnswer: -193413996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 415899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19.6 - -20. Let x = 1 + 2. Put 0, k, x in increasing order.\nAnswer: 0, k, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a meter in millimeters?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-31)\/((-4960)\/(-96))\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7, 11, 15, 19, 23?\n\"Answer: 4*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = -3*d - 5*g, 4*d - 2*g = -47 - 27. Let j be (8\/d)\/(52\/(-65)). Factor j*a**2 + 0*a - 1\/2.\nAnswer: (a - 1)*(a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18042 is divided by 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (1 - 1 - (36 - (-5 + 33)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 1592 in ascending order.\nAnswer: -5, -1, 1592","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2*r - 2 + 2)*(-7 + 3 - 2) - 1 + 2*r + 1)*(2*r - 5*r + 2*r)*(62*r - 32*r + 93*r) to the form d*r**3 + b*r**2 + u*r + a and give d.\nAnswer: -1722","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105829173 = 17*y + 105828425 for y.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 126 - 122. Suppose -7*i + w*i + 636 = 0. Is 30 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d - v + 25, 5 = -0*d - d - 4*v for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13774.40022 + 13770.5. Let p = 3.9 + f. Round p to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 + 1 = 18*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 - 14*p**2 + 13*p - 15. Let d(v) = -16*v**2 + 1. Let z be d(-1). Calculate the remainder when 1 + 55 - 8\/(-4) is divided by l(z).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 866918 != 866921?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -381 (base 10) to base 5\nAnswer: -3011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*i + 107 = 279 + 1243 + 1535 for i.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-5 - 0) + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 11. Let h = 1.1 - 1. Which is the closest to t? (a) h (b) 0.5 (c) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2 + 1656*j + 228528.\nAnswer: 3*(j + 276)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1604.0423 - -1599.9423047. Let c = f + 4.1. What is c rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -26094.2883 to the nearest one thousand.\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1356 - 1296 - (20 + -1) - (-1 + -16)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 + 4 + 5)*(28*w + 37*w - 94*w + 52 + 38*w).\nAnswer: 315*w + 1820","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + -13 + 5 + 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*w - 21*w - 5*z - 12 = 0, 2*w = -2*z - 2. Let j(q) = -q**2 + q - 1. Let h(b) = 4 + 4*b**2 - 2*b + 4*b**2 - 2*b**2. Give w*h(d) + 4*j(d).\nAnswer: 2*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 36*j**4 + 3300*j**3 + 75073*j**2 - 25300*j + 2116 = 0.\nAnswer: -46, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75297 is divided by 154?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 + 0.8. Let k = x + -0.8. Let z be (3 - (-152)\/(-56))*14\/(-6). Which is the second biggest value? (a) z (b) 3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2965.014941 plus 304.8?\nAnswer: -2660.214941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3920443 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ypjp when four letters picked without replacement from {p: 9, y: 1, j: 4}?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 4:33 AM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -12\/23 and -32\/15.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 e when three letters picked without replacement from dmeeedmedd.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 - 4928*d + 49367. Give z(10).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 20 = -6*g. Let h(i) be the first derivative of g + 2\/5*i**5 + 0*i + i**4 + 0*i**2 + 2\/3*i**3. Solve h(o) = 0 for o.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2014 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/7*d**2 - 475\/7*d.\nAnswer: -d*(d + 475)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -0.3 (b) 0.01549 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 41\/369 - 102061\/9. Find the common denominator of -74\/27 and 460\/s + 8\/14.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 221 and 1785.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {p: 2, s: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15068704?\nAnswer: 2, 7, 67271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 233743484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 18 = -4*u, -8 = 4*z + 4. Put 26, u, -5 in ascending order.\nAnswer: -5, u, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14546 - 21402?\nAnswer: -3523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3*(11 + (-26958)\/(-9)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 2*c + 6*c, -3*g + 4*c = 0. Suppose 3*a - 66 = -g*a. What is the greatest common factor of 66 and a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 101\/3 of a century?\nAnswer: 40400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2294 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-125)\/(-4) + -6*(-119)\/(-136)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*y + (3 - 4 + 0)*(-17*y + 16*y - 7*y) - 26 + 36*y + 26)*(-334*y + 334*y + 3*y**4).\nAnswer: 126*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10433419 or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24057*b**3*v**3 - 11*b**3*v**2 - 4*b**3 - 6*b**2*v**3 - 572*b**2*v + 322*b*v**3 wrt b.\nAnswer: 144342*v**3 - 66*v**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + (1 + sqrt(7) + 4 - sqrt(7)) + (sqrt(7) - (sqrt(7) - -6*3*sqrt(7))) + (sqrt(175)*2 + 3)*-5.\nAnswer: -67*sqrt(7) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 + 37. Let s be (k\/(-8))\/((-15)\/40). Suppose p = s*p - 55. List the prime factors of p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1298441671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 162*o**2 - 2 + 520*o**2.\nAnswer: 358*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*(-7)\/2394*-2)\/((-2855)\/3426)?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of 0 - 1\/30*q**5 + 1\/3*q**2 + 1\/9*q**3 - 1\/18*q**4 - 3*q. Factor d(t).\nAnswer: -2*(t - 1)*(t + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 + 14*q - 40. Determine b(5).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 102845400 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -0*h. Let z(g) = g + 61. Let b be z(h). Let t = b - 41. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 105.028 + -0.028. Let z = -110 + x. Which is the second biggest value? (a) z (b) 5 (c) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 215964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-2*((sqrt(228) + -2*sqrt(228) + sqrt(228))*2 + sqrt(228)))\/((sqrt(84) + sqrt(84) + -2*sqrt(84)*-1 + sqrt(84))\/(sqrt(7) + sqrt(175)*-4)).\nAnswer: -152*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 29*f**2 + 1075*f + 9601. Determine c(-22).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4011956?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 28387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 5*b + 9 = 7, 12 = 2*m - 3*b for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l - 3*l**2 + 2*l**2 - 4*l**2 + 9*l.\nAnswer: -5*l**2 + 6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 2*w - 5*j - 44 = 0, -w - 4*j - 4 = 0. Calculate the smallest common multiple of w and 1\/((-4)\/(-76)) + 1.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -39*j - 758. Determine z(-25).\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**11\/r*((r\/(r*r*r*r**(-18)))\/r)\/r)\/((r*r**33*r)\/(r*r\/(((r**(10\/9)*r*r)\/r*r*r*r)\/r))) assuming r is positive.\nAnswer: r**(-109\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 5*q**2 + 7)*(-5*q + 2*q + 2*q + (0 + 2 - 1)*(1 - 1 + 2*q) + (0 + 2 - 3)*(-q - 1 + 1) + 10 - 10 + 2*q + 1 - 1 - 2*q) + 7*q - 18*q**3 - 7*q.\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24943*o**3 - 6074*o**3 + 3869*o**3 + 3581*o**2 - 3581*o**2.\nAnswer: 22738*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14408 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b + 6*b - 1118*b**3 + 1211*b**3.\nAnswer: 93*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 3:48 AM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5548 is divided by 1358?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -26 + -1614311?\nAnswer: -1614340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from hbhhhhbhbhhbhb?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -587739, -587747, -587755?\n\"Answer: -8*n - 587731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/v**(4\/13)*v)\/v**28 assuming v is positive.\nAnswer: v**(-329\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1509812 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 283186294093 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3*w - 63 = 0, -6*d = -3*d + 2*w - 200. Let q = d + -47. Solve 4*z - 3 = 3*g - q, 0 = -3*z + 5*g - 23 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -374 = 6*w - 86. Let k be -1*1 - (w + -10). Let f be k + (-2 - (2 + -1)). Calculate the highest common divisor of 81 and f.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 429 - 256. What are the prime factors of n?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 480.1895 weeks?\nAnswer: 290418609600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.8969 times -0.3?\nAnswer: -6.86907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (24\/(-6) - 253)*-13. Let z be 2*((-2)\/(-10) + h\/(-130)). Which is smaller: -53 or z?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 4*k**2 - 34*k - 18. Let n be d(9). Solve 5*g = -5*a - 20, a + 2*g + n*g = -6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 52336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of -o**4\/24 + 7*o**3\/6 + 25*o**2\/2 - o + 14. Let k(s) be the first derivative of h(s). Give k(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 3*r - 4. Let n be (-28)\/(-6) + r\/(-3). Let j be (-1 + -3)\/(3 - n). Solve j*z - 4*d + 26 = 0, -2*z - 2*z + d = 24 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-105)*(-4200)\/(-112)*(-2 + -3 + 3)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1242 + -630. Let m(a) = g*a - 308*a - 310*a. Let o(s) = -22*s**2. Calculate o(m(x)).\nAnswer: -792*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6501 and 48462.\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(h\/(h**(22\/3)\/h))))\/h*(h*h**(6\/11))\/h)**(-6) assuming h is positive.\nAnswer: h**(382\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1542 and 8?\nAnswer: 6168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j + 4. Let w be d(2). Suppose c = 38 + w. Suppose -6 = -2*n + q + 28, -2*n + c = 2*q. Calculate the lowest common multiple of n and 32.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148707485 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1314849km in millimeters?\nAnswer: 131484.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7257258.\nAnswer: 2, 3, 403181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 349382759 to the power of 1\/2, to the nearest integer?\nAnswer: 18692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1435582 and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -74809*r + 74800. What is u(1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a tonne in kilograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -1620.\nAnswer: 1\/810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ec when two letters picked without replacement from eec?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-6)*12\/(-26). Let j(w) = 3*w**2 + 207*w + 1321. Let o be j(-7). Which is the closest to -2\/5? (a) -3 (b) o (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 176, -5 in descending order.\nAnswer: 176, 8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 5, -9.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47, -222, -529, -980, -1587, -2362?\nAnswer: -3317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/1134 and 32\/45.\nAnswer: 5670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 f when two letters picked without replacement from {f: 1, h: 16, t: 1}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 24*y**2 - 171*y**2 + 176*y - 5*y + 81*y - 108 = 0.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9 + -209?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 9*a. Let q(x) = -49*x. Calculate 5*q(w) + 28*u(w).\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 1ac2b9?\nAnswer: 1ac2b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10168, -17335, -24502, -31669?\nAnswer: -38836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - v + 29, -7*l + v = -2*l - 55. What is the derivative of -l + 4*f**4 - f + 1530*f**2 - 1529*f**2 + f wrt f?\nAnswer: 16*f**3 + 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 6:28 PM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -24, 0, 17 in descending order.\nAnswer: 17, 2, 0, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-103)\/(-35) - (-6)\/(-2)) + (-5028240)\/(-100450)\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 107817509 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o**3 - 8*o - 54*o**4 + 55*o**4 + 1 - 3*o**3 as f*o**2 + u*o**4 + s*o + n*o**3 + h and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than 5104?\nAnswer: 5102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u*u*u\/((u\/(u**(1\/11)*u*u))\/u)*u)*u*u)**(-15\/7) assuming u is positive.\nAnswer: u**(345\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 6*m + 12. Give w(-6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 2*k + 27 = 31, 5*u - 10 = -5*k for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aj when two letters picked without replacement from appopwjjpp.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 0.06 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3390835 and 665.\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3672 and 405254?\nAnswer: 401582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-24)\/5)\/((-6)\/20). Let j be 68\/b - 1\/4. What is the greatest common factor of 36 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/5 + 68\/(-85). Which is bigger: -20 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 9. Suppose 0 = -4*x + 4*g + 20, 0*x + 4*x + 3*g = -o. Does 9 divide 48\/3*(x + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y and 1 w when four letters picked without replacement from {w: 5, y: 7}?\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -307876216, -307876214, -307876212, -307876210, -307876208, -307876206?\n\"Answer: 2*y - 307876218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of 893*g**4\/2 - 475*g**3\/3 - 163. Find the third derivative of c(s) wrt s.\nAnswer: 10716","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -33*(-1)\/(-3)*1. Let j = r - -13. Suppose -61 + 63 = n. Calculate the lowest common multiple of n and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**3\/8 + 55*s**2\/8 - 503*s\/8 - 559\/8 = 0. What is s?\nAnswer: -1, 13, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 200*p - 14128. Give v(72).\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 21 = 229. Is 4\/20*25 - w*-2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -80 in 1\/7, 0.4, 2\/29, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.092802029 and 1.5?\nAnswer: 1.592802029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -11, 1\/6, 0.5, -3\/157?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01 * -39.49.\nAnswer: -0.3949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 7687*h + 3 + 12*h**3 - 7687*h as v*h**2 + z*h**3 + d*h + a and give z.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3*p. Let m(n) = 8. Let t(u) = -19. Let v(i) = 7*m(i) + 3*t(i). Suppose -2*l - y = 1, -2*l + 19 = -0*l - 3*y. Determine l*v(f) + b(f).\nAnswer: 3*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 2364?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - 24030?\nAnswer: -24032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f - 7. Determine w(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*s, -3*a + s = -2*s - 9. Suppose -2*w - 3*w + 20 = 0. Let n = a - w. Round n to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4, 4, 12, 34, 76?\n\"Answer: x**3 - 2*x**2 - x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -154.7637 * -5\nAnswer: 773.8185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7023977 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*f + 5251 = -3869. Calculate the highest common divisor of 120 and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.868208 micrograms in tonnes?\nAnswer: 0.000000000009868208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -103809744, -103809745, -103809746, -103809747?\nAnswer: -103809748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.35 - 0.05. Let v be (-8)\/(-30)*24\/16. What is the closest to -2\/3 in x, -2\/11, v?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q. Let a(t) = -28295*t**2. Calculate a(d(k)).\nAnswer: -28295*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of 18 - 14*c + 2*c**3 - 207*c**2 + 384*c**2 - 197*c**2. Factor b(g).\nAnswer: 2*(g - 7)*(3*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54518?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m**2 - 36*m - 36. Let d be h(-17). Let c(x) = -x**3 - 9*x**2 - 3*x - 32. Let k be c(-9). Put k, 5, d, 4 in decreasing order.\nAnswer: 5, 4, d, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (7 - (10 - 5)) + -2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 522.1388 rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -155 + 232. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.395 + -0.605. What is the third biggest value in x, 0.1, 2\/5, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -1161639?\nAnswer: -2\/1161639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -48. Let t = n - -41. Find u such that 7*u + 70*u**5 + 45*u**3 - 61*u**5 - 8*u**2 - u - 33*u**t - 19*u**2 = 0.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*p**2 - 78*p**2 + 215*p**2 - 85*p**2.\nAnswer: -28*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -131 - -523\/4. Which is the third biggest value? (a) -1 (b) -3\/7 (c) r (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of w**5\/120 + 13*w**4\/24 + w**3\/6 + 2*w**2. Let f(x) be the first derivative of c(x). Is 11 a factor of f(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 106? (a) -2\/7 (b) 4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3652907497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7429950 by 75.\nAnswer: 99066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (326 + 152*n**2 - 326)*(-4 + 3 + 2)*(-2 - 1 + 1).\nAnswer: -304*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.0420632585 and -81.\nAnswer: -81.0420632585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13703412 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.21 - -1.1. Let f = 0.10999976 + z. What is f rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 332, 549, 784, 1043, 1332, 1657, 2024?\n\"Answer: s**3 + 3*s**2 + 201*s + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(243) + -4 + -1.\nAnswer: -3 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/22 and 5\/66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-9) + 4\/(-6). Let s(k) = k + 6. Let u be s(-5). Let g = -0.4 + 0.2. What is the second biggest value in u, h, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (13 + -10)) + (0 - 6 - 9)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.24 + -0.54. What is the closest to -1\/3 in l, 0.4, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -221925.079 + 221826. Let o = 99 + r. Round o to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 8, k: 3, r: 1, c: 1, m: 3, q: 2}. Give prob of sequence kj.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 6 = 0, -4*o - 3*g = -4000 - 19943. List the prime factors of o.\nAnswer: 2, 3, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -151, -302, -443, -568, -671, -746, -787?\n\"Answer: o**3 - o**2 - 155*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(1\/8)*m**(-10)*(m*m*(m\/m**(-3))\/m*m*m)**(6\/7) assuming m is positive.\nAnswer: m**(-31\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40891, -41101, -41315, -41533, -41755, -41981?\nAnswer: -42211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*m + 22, -4*i + 1809 = -3*m. Let z = i + -227. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 894?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 - -48. Let m = t - 24. Are 4\/41 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2643+1.2\nAnswer: 2644.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68163?\nAnswer: 3, 22721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of -41*g**6\/20 + 19*g**5\/20 + 8*g**2 - 3. What is the third derivative of k(d) wrt d?\nAnswer: -1476","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -386.95 - -387. Let y(t) = -t + 1. Let l be y(-2). Which is the third smallest value? (a) m (b) 1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 102 + -90. Calculate the remainder when 38 is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 5, 3 in descending order.\nAnswer: 5, 3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -4.9. Which is the nearest to -0.2? (a) 1 (b) 3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1582681.\nAnswer: 19, 83299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25 and 1241550.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 17*a**2 + 292*a + 58. What is b(-17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 40*d**2 - 1345*d + 59756. Calculate r(42).\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do -3366391 and -1\/5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + 9*x**2 + 13*x - 5. What is the lowest common multiple of k(-3) and 446?\nAnswer: 2230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 0*u - u - 2*u. Let y(p) = -p**2 + 2*p - 2. Let w be 3*-2*(-3)\/9. Let r(c) = c - 1. Let s(q) = w*r(q) - y(q). Determine f(s(d)).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - 4*m**2 - m. Let t be o(-2). Let b be (-3)\/t*-2*-102. Suppose -6*d + 3*d + b = 0. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + 20 + 1 + -1. Let r be (((-72)\/(-28))\/(-3))\/((-6)\/o). Find the second derivative of 1701 - 70*m**r - 40*m + 20*m**3 - 1701 wrt m.\nAnswer: -300*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3346751.\nAnswer: 3346751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 - 3*t + (2 + 3 - 3)*(2*t - t - 3*t) + 0 + 0 - t to the form s + x*t and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001202 (base 3) in base 7?\nAnswer: 2156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2129 - y + 686 - y**2 + 703 + 710 in the form z*y**2 + d + m*y and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1)*(4 - 5 + 5)*(-10*u + 10*u + 4*u**3).\nAnswer: 32*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 5*h + 4*x + 505, x + 3 = 0. Let t = h + 494\/5. Let c be (-4)\/(-117) + 55\/715. What is the third smallest value in -2\/11, t, c?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/3 + (-11)\/(-33). What is the fourth biggest value in -2\/11, -2, 0.2, p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -8*h**2 - 3*h**2 + 27 - 27. Let x(s) = -s**2. Calculate x(w(y)).\nAnswer: -121*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**4 + 2*d**4 - d**4)*(-2 - 8 - 5)*(-2*d - 2*d + d).\nAnswer: 90*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 5. Let o(s) = -18*s + 16. Let k(t) = -8*t + 6. Let d(f) = -5*k(f) + 2*o(f). Let q(w) = 9*w + 5. What is a*q(x) - 7*d(x)?\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.668175 hours to weeks.\nAnswer: 0.021834375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3*x**3 - 78*x**2 - 80*x - 33. Determine j(27).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -12997\/5365?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -591, -2108, -4669, -8280, -12947?\nAnswer: -18676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*h - 6666411 = 3865004. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - -5154684.\nAnswer: 5154699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/308*140\/(-30)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5853 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 26901981, 53803960, 80705939?\n\"Answer: 26901979*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -11. What is the greatest common divisor of o and 100?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -477.2 + 477. Is -94 less than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 3*sqrt(1008)*2 + -2 + sqrt(1008) + -1*(sqrt(1008) - (sqrt(1008) + -1)) + sqrt(1008))**2 - -6*(2 + (sqrt(1008) + (1 + sqrt(1008))*4 + 0)**2).\nAnswer: 2112*sqrt(7) + 215836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j**5 - 3*j**5 - 2*j**5)*(1 - 1 + 1) + (j**3 - j**3 + j**3)*(0*j**2 - j**2 + 0*j**2).\nAnswer: -2*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 51102119 to the power of 1\/3, to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 81148363 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 - 4*c - 2. Let r(k) = -k**2 + 5*k + 21. Let u be r(8). Let n be a(u). Solve 2*j + 9 = n for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*n**4*t - 1976591*n**4 + 6*n**3 + 2*n**2*t - 207*n**2 + n*t - 62111*t wrt n?\nAnswer: -48*n*t - 47438184*n + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/((-9)\/42*2). Let s(x) = 9 + 4 + 7*x - x**2 - 3. What is the units digit of s(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -3*q**3 + 215*q**2 - 1203*q - 6306. What is t(65)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9 (b) 2\/13 (c) -5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 563418 - -1420426. Let x = 1309898 - f. Let u = x - -1303946. What is u rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of -g**2\/2 + 67*g. Let k(m) = -m**2 + 6. Suppose 5*u + 4 = -1. Let v(z) = u*k(z) - i(z). What is the derivative of v(y) wrt y?\nAnswer: 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/h**(2\/53)*h*h**(-1)*(((h\/((h*h**(3\/8)\/h)\/h))\/h)\/h*h*h)**(-50) assuming h is positive.\nAnswer: h**(-17021\/212)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 l when four letters picked without replacement from rrlrlrrrrrrrrrl?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by 71?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 244520.1 litres in millilitres?\nAnswer: 244520100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h, -2*b = 3*h - 80 - 248. Suppose 4*x + 154 - 1310 = 0. Let y = x - b. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5836768 and -0.7.\nAnswer: 4085737.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -43 - -59. Let l = n + -10. What is the greatest common factor of 18 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 c, and 1 s when three letters picked without replacement from vctcgsjjjjvgcs?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 6115753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (37 - 4) + (75 - 65).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/99 and -29\/22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h = 19*h - 56. Suppose -111 = 5*s - h*s. Let l = s - -77. List the prime factors of l.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + 1)*(-14)\/(23 + -9). Let j be (r - (7 - 6))*-418. Calculate the highest common divisor of 22 and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95730 is divided by 9096?\nAnswer: 4770","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2 + -3 + -2 + -2 + 1 + sqrt(2) + 2 + sqrt(128) + 1).\nAnswer: -20 + 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -31? (a) 5\/3 (b) 0.1 (c) 0 (d) 28 (e) -0.07 (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6105439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 11*b**2 - b + 12. Let z be d(11). Let g be (z\/3)\/(3\/405). Let r = 87 - g. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -804 divided by 4\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 25427821 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 11, k: 2}. Give prob of sequence vvk.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 434\/4 - 11\/(-44)*-2. Suppose -98 = -2*z - h, 5*z - 4*h - d - 124 = 0. What is the greatest common factor of 128 and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 2 - (4 + (-3 - -1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20\/3*18\/15. Solve 4*t = -3*k - 2 + 9, -4*t = 4*k - u for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 + (-12 - -1) - -6) + 11 - 4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 218 + -20491\/94. Let o = -85\/846 - m. Which is the third smallest value? (a) 4 (b) 5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2b8b (base 12) to base 5\nAnswer: 131042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5741d (base 15) in base 5?\nAnswer: -32341203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -231, -674, -1343, -2238, -3359?\nAnswer: -4706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.05 - -0.05. Let o = 8.8 + -0.8. Let r = o + v. What is the nearest to -2\/7 in -5, r, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 2*w + 250 = 5*j, 4*w = -3*j - 526. Let n be -1 + w\/(-12) - (-4)\/24. Suppose 6*a - b + 2591 = n*a, -a + 650 = b. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 53*j - 2288. Give a(43).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/((y**(2\/11)\/y)\/y)*y*y*y*y**(-26)*y*y assuming y is positive.\nAnswer: y**(-200\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, f: 1, c: 1, q: 1, b: 3, p: 2}. Give prob of sequence pv.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 3*x - 2*x - 23, 2*k - 3*x = 16. Let q(m) = -57*m + 860. Let v be q(15). Solve -y = i - 0*y + k, v*i - 5*y = -25 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 96 - 38. Let p = -60.9 + w. Round p to zero decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 351 - 353. Let v be ((-2*(-1)\/4)\/(-1))\/q. Which is the second smallest value? (a) v (b) -38 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -14189c - 3?\nAnswer: -1418a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -248 + 248.0586. Let y = -5.1414 - k. Round y to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 2. Sort n, 1\/2, 0.3 in descending order.\nAnswer: 1\/2, 0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/4 - 3\/6. Let h = 17.83 - 0.83. Let t = 18 - h. Which is the third smallest value? (a) k (b) -3 (c) t (d) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dddd when four letters picked without replacement from {d: 10, s: 4}?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - 9. Let t = -14 - y. Solve -5 + t = -5*v + s, -2 = -2*v + 2*s for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -12*v**2 - 91*v + 18. Let p(n) = 17*n**2 + 128*n - 26. Let m(j) = 5*p(j) + 7*y(j). Give m(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 13) to base 8\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 11) to base 15\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -24772293*b + 17284. Let s(z) = 4300*z - 3. Determine 17284*s(n) + 3*y(n).\nAnswer: 4321*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*h + i, 5*h - 6 = -2*i + 4. Factor -4 - 5*u**2 + u**2 + 6*u**2 + h*u.\nAnswer: 2*(u - 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1474820?\nAnswer: 2, 5, 37, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12 or 71186?\nAnswer: 71186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 316933 less than 7.59?\nAnswer: -316925.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/250 + -91\/250. Let m = p + 49\/275. What is the third smallest value in -3, -0.5, m, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-60))\/(((-18)\/15)\/2)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3440\/(-240) + (20 - 6)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32445223 is divided by 5325.\nAnswer: 5323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 + 0.1. Let t = -103\/92 + 20\/23. What is the closest to l in t, 0.5, -2\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3403 (base 6) to base 7.\nAnswer: 2214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12101, 12108, 12127, 12164, 12225, 12316, 12443, 12612?\nAnswer: 12829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + r**2 + r - 4. Let z = 39 - 39. Calculate q(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 18\/81 - 770\/(-18). Let c(u) be the first derivative of 1\/3*u**2 + k + 1\/9*u**3 + 0*u. Solve c(h) = 0 for h.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 5:43 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, u: 3, n: 3, i: 3}. Give prob of picking 2 u.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 6*y + 233. Let l be v(-38). Let f be 9\/3 + -7 + 70\/l. Solve 0 = -2*j - f + 18 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = w - 57, -5*w + 47*s = 52*s - 285. What is the remainder when 226 is divided by w?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1937 and 2301.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43059 divided by -6650.\nAnswer: -43059\/6650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 9*i**3 + 124*i**2 + 37*i + 210. Let q be y(-55). What is q rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2+0.7745\nAnswer: 2.7745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2032.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -3*l - 10. Let v(h) = 13999*h + 10. Let z be v(l). Round z to the nearest ten thousand.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 64 + -36. What is the second smallest value in s, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/6, 195, 2\/23, 3, -3369, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ak when two letters picked without replacement from tarkp.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, s: 2, w: 1, j: 1, r: 2, p: 1}. What is prob of picking 1 b and 1 w?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -8*y + 3. Let c(s) = 2*s - 1. Let p(i) = 3*c(i) + z(i). Let o(k) = -3*k - 7. Calculate o(p(w)).\nAnswer: 6*w - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum -75141525 and -44.\nAnswer: -75141569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 7703488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + 11*o**2 + 3. Let k(u) = 3*u**3 - 25*u**2 - u - 5. Let x(l) = -5*j(l) - 2*k(l). Calculate x(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8 + 387 - 0\/3)\/(-4). Let g = 99 + b. Which is smaller: g or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1955)\/(-31) - 52\/806. Sort d, -4, -1.4 in descending order.\nAnswer: d, -1.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/5)\/((-8)\/20). Let f = q + 0. Solve -f*c + 6 = -4*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 AM and 7:18 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2648441590?\nAnswer: 2, 5, 264844159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j - n - 31, 14*j + 3*n = -34 - 9 - 0 - 43 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = k - 15 + 1, 4*d - 28 = -5*k. What is the third derivative of -4*s**5 + 9*s**2 - 16*s**2 - s**4 + d*s**2 + 4*s**2 - 26*s wrt s?\nAnswer: -240*s**2 - 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + 4*f**2 - 63985*f - 383823. What is r(-6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 5:32 PM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20 + 112?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(14\/392*-7). Solve -c = -10*z + 12 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 at least 127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 8 = 2*d. Suppose 0*u - 34 = -b + 3*u, -d*b + 4*u + 112 = 0. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -490814, -490813, -490810, -490805?\n\"Answer: a**2 - 2*a - 490813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3182918525 to the power of 1\/3, to the nearest integer?\nAnswer: 1471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 + w - 4. Let q be h(-3). Let y(a) = a**2 - q - 2*a - 2 + 0*a. What is the units digit of y(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -71 + 73. Let o be x + -4 + 24\/6. Suppose -5*t - v = -490, -127 = -t - o*v - 29. 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 next in 56738, 58529, 61516, 65699?\nAnswer: 71078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 516359 = 33*a + 16*a - 1357058. Does 221 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.6 + 0.3. Let m(l) = -l**3 - 10*l**2 + l + 14. Let z be m(-10). Suppose -4*u - v = 8, -3*u - z*v = -v + 15. Put u, a, -1\/3 in descending order.\nAnswer: a, -1\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 28567492 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1648 and 11893822.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 7020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 11:58 AM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11328 and 44958.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**(-1\/4))*j*j*j**3*j)\/(j*j**4*j**(4\/3)))**9 assuming j is positive.\nAnswer: j**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 325, -3, -72 in descending order.\nAnswer: 325, -3, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - -13)*2\/(-2). Let n be 1 + -24*6\/f. Let t(x) = -12*x + n*x - 12*x. Let i(k) = -2*k**2. Give i(t(a)).\nAnswer: -98*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1753724 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41 - -72. Calculate the remainder when 121 is divided by d.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 298*z + 6 + 2 - 293*z - 4 + 0 + 6.\nAnswer: 5*z + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r = 9*r - 4. Suppose 5*f = 5 + 5. Differentiate f*p**2 + 3 - 12 + r with respect to p.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -53 - -54 - (1 + (7 - 2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0*(0 + -2)\/(-4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3402050348?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 391592598 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v + 18*v = 15. Suppose 3*f - 9 = 0, z + f - 674 = v*f. Is 17 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -204 divided by 6\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/3)*v**(-1\/6)\/v)\/((v\/(v**12*v))\/(v*v*v**(3\/17)*v)) assuming v is positive.\nAnswer: v**(1463\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.01, 0.5, 0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 + w. Let i be s(1). Let p be 2\/(-2) - i\/1. Let o be 1\/2*24\/(-18). Which is bigger: o or p?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 584 - 154 = -86*g. What is the closest to -0.1 in 2\/5, -2.38, g, -5\/2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3651439, -3651436, -3651419, -3651382, -3651319, -3651224, -3651091, -3650914?\nAnswer: -3650687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*s - 3177 = -2457. Solve -s = -410*z + 414*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 320449\/1149104 - 3\/6529. Calculate the common denominator of y and 99\/2.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12b (base 12) to base 3.\nAnswer: -20122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*y - 58*l = 39*y - 63*l + 87, 4*y + 22*l + 116 = 0 for y.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -3*f**5 - 27*f**4 + 243*f**3 - 393*f**2 + 180*f = 0.\nAnswer: -15, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 295851*t + 429*t**3 - 147906*t - 147945*t.\nAnswer: 429*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 748\/198 + 2\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in 4, 1, -0.5, -1\/30349?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-7) - 6*(-6)\/(-126). Suppose -6*d + 300 + 114 = a. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l**2 - 7*l - 2. Let v(q) = -q**2 - q + 1. Let i(a) = -g(a) + 5*v(a). Let j be i(5). Does 18 divide (-2)\/(-11) + (-4746)\/j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35.006423 - -0.006423. Let h = -2393\/6 - -398. What is the third smallest value in h, o, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -1\/11*i**3 + 0*i + 0 - 1\/11*i**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**3 + n**2 - n**2 + (-2*n**2 + 0*n**2 + 0*n**2)*(-14*n + 213 - 213).\nAnswer: 27*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of g**6\/69 - 3*g**4\/46 - 4*g**3\/69 - 35. Determine x so that c(x) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 9*l**2 - 7*l - 2. Determine v(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -848*d - 317. Is s(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20734*t + 20696*t = -704 - 94 for t.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 698377 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -194*m**2 + 86. Let b(j) = j. Give b(z(t)).\nAnswer: -194*t**2 + 86","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*t**4 - 10*t**3*x**3 - t**3 - 6*t*x**3 + 27*t*x + 53*x**2 - 3 wrt t?\nAnswer: -156*t**2 - 60*t*x**3 - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus 4705.65282?\nAnswer: 4701.65282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -125195345, -125195353, -125195371, -125195405, -125195461, -125195545, -125195663?\n\"Answer: -z**3 + z**2 - 4*z - 125195341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 3 + 2*i**3 + 5*i + 6.\nAnswer: 2*i**3 + 5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/4*(1 + 28\/(-35)) and ((-92)\/(-72))\/(1\/(-3))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28135 + -28138. Which is the fourth smallest value? (a) 4 (b) 77 (c) -1 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w**2 + 1 - 1 + (-2 + 1 - 1)*(4*w**2 - 3*w**2 + 0*w**2) - w**2 + w**2 - 3*w**2)*(-w - 2*w**2 + w).\nAnswer: 2*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11308*d - 11306*d - 3*p = -5, 0 = -2*d + 4*p - 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millennium in months?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of 7*z**3\/3 + z**2 - 4*z + 3. Let k be (1 - 68\/6) + (-714)\/1071. Let h(f) = -13*f**2 - 4*f + 7. Determine k*n(l) - 6*h(l).\nAnswer: l**2 + 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 843 or 2527\/3?\nAnswer: 843","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -6*r - 5. Suppose -f + 4*g - 436020 = 3*f, -f - 109010 = -r*g. What is f rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20*c - 18*c + 32*c)*(-1 + 6 - 4)*(5 - 3 + 0)*(0*c - c + 0*c) + (5*c - 2*c - 2*c)*(2*c - c + 0*c) to z + r*c + t*c**2 and give t.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 373 or 0.1?\nAnswer: 373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 5:04 AM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, p: 2, a: 2, y: 8}. Give prob of sequence dpap.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26058, -25986, -25916, -25848, -25782?\nAnswer: -25718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/6*1*9\/(-6)*7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = o. Suppose 0 = 3*s - 2*s - 5. Suppose -2*r + 2*q + 28 = 0, 3*r + q - 38 = 3*q. Solve -5 = 4*i - 2*w + s, -3*i + 5*w + r = o for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121.5 rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 4*z + 5*z + 6, -5*b = -z + 18. Let k(q) = 6*q**2 + 2. Let r be k(b). Find the common denominator of -14 and (-474)\/r - (-4)\/(-14).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/(-33))\/(6\/(-4))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + -2)\/(4\/(-12)). Let f be m\/(54\/(-76)) + (-4)\/(-6). Is f\/(-8) + -1 - (-981)\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 38*l**3 + 4*l**2 - 4*l + 10. Let r be g(-7). Round r to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -67*j**3 - 29*j - 1582*j**3 + 29*j - j**3 - 1321 wrt j.\nAnswer: -4950*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 3*a - 7734901, 0 = 4*o - 9*a + 4*a + 15469791. Let m = o + -11767736. Let p = 9035185 + m. Round p to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*q - 18*q = 56 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10873\/151 - -72. Which is smaller: -8 or k?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 PM and 2:24 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10309938 and 356?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2\/8 - (-15)\/100\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 - 2*x + 137. Let l be j(0). Let p = 189 - l. Calculate the greatest common factor of 468 and p.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 808 + -98. What is the highest common divisor of 20 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8263 is divided by 3509.\nAnswer: 1245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14404.\nAnswer: 2, 13, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, m: 7}. Give prob of sequence mmxm.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23*c**2*t**4 - 14*c**2*t**3 - 1510*c**2*t**2 - 2*t**4 wrt t?\nAnswer: -552*c**2*t - 84*c**2 - 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -t - 4*t. Suppose 4*x = t*b + 21, b + 19 + 21 = 5*x. Is x a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -13*d**2 - 252*d - 546. What is x(-17)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1054*t*y**3 - 3*t*y - 25*t + y**3 - 13 wrt y.\nAnswer: -3162*t*y**2 - 3*t + 3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1525588149 to the nearest integer?\nAnswer: 39059","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 160 = 7*u - 3*u, 0 = -u - 4*o + 40. Let n be (-210)\/28*(-20)\/75. Does 9 divide 628\/u*n*5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.379*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 99193291?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 525*i**2. Let j(o) be the second derivative of o**3\/2 - 241*o. What is j(l(n))?\nAnswer: 1575*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193 is divided by 9\/(-6) + 7 + 63\/18?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d*d*d\/d**(2\/49)))*d)**(2\/15) assuming d is positive.\nAnswer: d**(388\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -11100001 (base 2) to base 15\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/1*3*(-195)\/(-260)*32\/(-36).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/5, -9, -0.0414?\nAnswer: -0.0414","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1645955?\nAnswer: 5, 329191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d**(22\/7)*d*d)\/d*d*d*d)**(1\/35) assuming d is positive.\nAnswer: d**(57\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -280*t + 0*t**2 - 3*t**2 + 65*t.\nAnswer: -3*t**2 - 215*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 531 + -530.998658. What is i rounded to 5 decimal places?\nAnswer: 0.00134","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -22647129, -22647100, -22647071, -22647042, -22647013, -22646984?\n\"Answer: 29*w - 22647158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 26182?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -4*j - 10. Let r(u) be the first derivative of -u**4\/12 + u**2\/2 + 23*u - 14. Let v(d) be the second derivative of r(d). Determine v(o(b)).\nAnswer: 8*b + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -505.\nAnswer: -2\/505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 366134 is divided by 112?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -8. Let m be -1 + 2 - 64\/80. Let d = m + -1. What is the second biggest value in y, d, -1.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of 11*r**4\/24 - 29*r**3\/2 + 3*r**2 - 3. What is the least common multiple of 199 and i(8)?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 12, b: 6}. Give prob of sequence ee.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 57505.1kg in micrograms?\nAnswer: 57505100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b + 6*b - 12*b + 6*b + 3*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 135\/(-444) - 1\/(-4) - 14391160\/184630.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 253 is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 57849 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - 2) + (-418)\/33.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 + 527 + 4*x + 514 + 2*x - 3*x - 1031. Give f(7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 393919205*s*x**3 - 288775398*s - x wrt x?\nAnswer: 2363515230*s*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 11:02 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 101170 and 425820?\nAnswer: 1510","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zppzzdzmzmzppfz. Give prob of sequence ffmd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -281, -2082, -6975, -16508, -32229, -55686, -88427, -132000?\n\"Answer: -258*m**3 + 2*m**2 - m - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of -i**4\/6 - i**3 - 3*i**2 + 1407*i. Give x(-5).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -103862\/5 or 2\/5?\nAnswer: -103862\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 239?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8 - (-3560)\/450)\/((-2)\/5). What is v in 1\/3*v - 4\/9*v**3 + 1\/9*v**5 - 2\/9 + 0*v**4 + k*v**2 = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-164)\/50922*529*54?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 6 + 2)*(314*l + 31083 - 31083)*((3 - 7 + 3)*(-3 - 2 + 6) - 4 + 3 - 1)*(-1 - 2 + 1 + 3 - 1 - 4 - 4 + 3 + 2 + (-5 + 0 + 3)*(-1 - 1 + 0)).\nAnswer: -3768*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 946475?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 645704, 1291482, 1937262, 2583044, 3228828?\n\"Answer: s**2 + 645775*s - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 15182 + -135a2?\nAnswer: 17a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-77759.2.\nAnswer: 7775.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/7, 1\/6, 0.5, 5, -9, -33?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 611, -11, 0, -4, -6, 1 in ascending order.\nAnswer: -11, -6, -4, 0, 1, 10, 611","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5827092527?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-36)*z\/(z\/(z**(2\/15)\/z*z)*z*z) assuming z is positive.\nAnswer: z**(-568\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/2))**(1\/11)\/((t*t**1\/t)\/(t**5*t)))**(-1) assuming t is positive.\nAnswer: t**(-111\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301163 is divided by 56.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13.2 + 13. Which is smaller: -8 or j?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5\/24 - -107\/168. Let s be (1 + 88\/12)*3\/(-2). Let o = s + 13. Which is the second smallest value? (a) 0.4 (b) r (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/((-52)\/(-8)))\/(-10 - -11)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2411675, 2411907, 2412293, 2412833, 2413527, 2414375?\nAnswer: 2415377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of x**4\/12 - 9*x**2 - 38. Let b(l) = -11*l - 93. Calculate g(b(s)).\nAnswer: -22*s - 186","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -207073, -207078, -207083, -207088, -207093, -207098?\n\"Answer: -5*c - 207068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2013031 (base 4) to base 10.\nAnswer: 8653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 194463 and 0.04.\nAnswer: 194463.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12971)\/63 + 2\/(-18). Let n = 89 + t. Round n to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13740 - 11322?\nAnswer: 2416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) -4 (c) 0.569 (d) -12\/7 (e) 538\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7432, 15181, 23202, 31507, 40108, 49017, 58246?\nAnswer: 67807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001692686146 to seven dps.\nAnswer: -0.0001693","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -47 - -50. Solve x = -3*o - 4, x + h*o + 8 = -2*o for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -11581, -19667, -27753, -35839, -43925, -52011?\n\"Answer: -8086*k - 3495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a - -ca7?\nAnswer: c9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -65 + 545444?\nAnswer: 545368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 318 and 3074?\nAnswer: 9222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 3*o - 2*k, 175 - 180 = -o - 2*k for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40\/13 - -761\/260. Find the common denominator of 2\/41 + (-73684)\/(-106600) and j.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30022817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 695 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: Which is the closest to -2\/7? (a) -1 (b) -134 (c) 2\/7 (d) 331.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*r + 6*r**3 - 874*r**2 + 7 + 871*r**2 + 3*r - 1.\nAnswer: 6*r**3 - 3*r**2 - 31*r + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 896*u - 829*u = 165892. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 15 = -40 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 3*b - 207, -5*b + 2*f + 363 = f. Let w be (51\/(-2))\/((-141)\/b + 2). Round w to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171 = -426*z - 451 - 146 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -4. Suppose -4*d - 14 = -v + 6, 0 = 2*d + 2*v + 20. Let o be -2*(2 + d\/4). Is c < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 + -0.1. Let a = -0.09 + 4.09. Sort 3, u, a in decreasing order.\nAnswer: a, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -298 = -k - 815. Let q = 520 + k. Solve -q*m + 22 = -4*w, 5*w - 5*m = -3*m - 24 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of c**5\/20 + c**4\/2 + 7*c**3\/6 + 2*c**2 - 2*c. Let u = 4 + 11. Calculate the remainder when u is divided by p(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2334.10002006 + -2334.1. Round s to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) + 2*sqrt(104))*-1)\/(3*sqrt(16)\/sqrt(2)) + -4*(sqrt(325) - (sqrt(325) + (sqrt(325) + 1 + sqrt(325))*-5 + sqrt(325)))**2.\nAnswer: -105400 - 1801*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -272 + 473. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-450)\/(-14) - ((-9)\/3)\/(-21). Suppose -34*d = -c*d + 4. Is (-115)\/46*(-1 - d)*-86 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -50066*z**4 + 50965*z**4 + 3*z - 3*z + 1754 wrt z?\nAnswer: 3596*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -23437?\nAnswer: -1\/23437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3217 is divided by 145?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c + 5. Let d be i(8). What are the prime factors of d + 38\/14 - 1444\/(-7)?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of q**5\/20 - 5*q**4\/12 + q**3\/3 + 2*q**2 + 3*q. Suppose -3 = -2*x + x. Give n(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -8, 26, -12 in descending order.\nAnswer: 26, -3, -8, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 + -22. Sort -0.1, -1\/4, n.\nAnswer: n, -1\/4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**3 - 2343*a**2 + 198198*a.\nAnswer: -3*a*(a - 77)*(a + 858)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from boffobobbboo?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 611653909 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 290 + -276. Solve 16*s = v*s - 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -15 (b) 5 (c) 1038\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5491.\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1536\/2880)\/((-212)\/(-48495)).\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (49\/(-98))\/(-26 + (-92376)\/(-3552)).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*i = -5. Let c be i*7\/(-2) - 2. Let n = 6.39 + -4.39. What is the third smallest value in n, 0.06, c?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -177331?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 - 6. Let r(v) = 3*v**2 - 8*v - 5. Calculate the remainder when r(-3) is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -45*w + 1684. What is d(35)?\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 613354 - -21?\nAnswer: 613405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3268\/3000 + 1 - (-175)\/(-75) and 36\/65.\nAnswer: 3250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*d**4 + 2*d**4 - 3 + 6 wrt d.\nAnswer: 20*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2077, 18721, 64489, 153943, 301645?\n\"Answer: 2427*g**3 - 345*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 60? (a) -0.39 (b) 0 (c) -2\/3 (d) 1 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 7. Let v(i) = -i**2 + 8*i - 3. Let q(y) = -y**2 + 9*y - 3. Let c(f) = -4*q(f) + 5*v(f). Determine c(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -3*n - 14, 23 - 11 = 3*w for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44 + 40. Let i(b) = b**2 + b + 1. Let m be i(0). What is the second biggest value in -2\/3, d, m?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2. Let i be (30\/9)\/(4\/6). Let y be -1*i*(1 + -2). Let l(m) = y - 4*m - 5. Give l(z(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1012021 (base 3) to base 2\nAnswer: -1101100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = 3, 329*x - 333*x = -5*y - 9 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000306 to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -239, -263, -307, -377, -479, -619, -803?\n\"Answer: -u**3 - 4*u**2 - 5*u - 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + 15*a**2 + a - 8. Let d be w(-16). Let b = d + 445. Is 33 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -0.05091?\nAnswer: 0.20364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3, -50, -59, -6, 133, 382, 765?\n\"Answer: 4*c**3 - 5*c**2 - 60*c + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -284*t - 84. Determine z(-1).\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*y + 11365 + 10*y**2 - 11365)*(0*y**2 - 4*y**2 + 2*y**2) + 4 - 4 + y**4 to h*y**2 + p*y + a + n*y**3 + j*y**4 and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -4414*n**3 + 118058*n**2 + 153832*n + 31360 = 0. Calculate n.\nAnswer: -1, -560\/2207, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 PM and 3:00 AM?\nAnswer: 614","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + -3 + (7 - 8) - -1. Let j = 13 + -9. What is the third biggest value in j, x, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + k + 33 = 0, 2*l - 2*k = 3*l - 15. Let -i**3 - 7*i**4 + 2*i**3 - l*i**4 + 3*i**3 = 0. What is i?\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 36, 3, 1, -5 in increasing order.\nAnswer: -5, -4, 1, 3, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*-4*5\/(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 48.5 + -49. Let b(k) = -k**3 - k**2 + k + 5. Let w be b(0). Suppose -g + 5*n = 12, -2*n = w*g + 2*n + 2. What is the nearest to g in 1\/7, 0.1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 6*u**2 + u - 3. Give l(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -72526.3592 to the nearest ten.\nAnswer: -72530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24069540 by 802318.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*t**3 - 70*t**3 - 66*t**3.\nAnswer: -10*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -550, -1324, -2110, -2914, -3742, -4600?\n\"Answer: -r**3 - 767*r + 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*o = -10*o + 10*b + 20, -4*o - 3*b - 6 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m*m**(-28\/9)\/m*m*m*m))**(-2\/11) assuming m is positive.\nAnswer: m**(-38\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8.97 + 8.47. Which is the third biggest value? (a) 0.2 (b) 0.1 (c) 3 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -470 + 812. Suppose -3042 = -6*b + q. What are the prime factors of b?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -132 - (-17 + -13 - (107 + -113)).\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4460073*m + 1380 = 4460004*m for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13 - 18 + 16)*(4 + 7 + 1)*(58 - 5*k - 58) as n*k + a and give n.\nAnswer: 900","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 610 - 610.4. Which is the nearest to 0.1? (a) -1 (b) -2\/23 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*u**4 + u**3 - 2518696*u**2 - 189*u + 5154 wrt u.\nAnswer: 36*u**2 + 6*u - 5037392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and -0.04153.\nAnswer: 0.15847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**(-1)*h))**(3\/19)*(h*h*(h\/(h**(-2\/7)*h))\/h)**34 assuming h is positive.\nAnswer: h**(306\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3312232 (base 7) in base 5?\nAnswer: -101002301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 divided by 7927553?\nAnswer: -25\/7927553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -150672404, -150672400, -150672396, -150672392, -150672388, -150672384?\nAnswer: -150672380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of 0 + 0*j**4 + 0*j + 4*j**2 + 11\/30*j**6 - 13\/2*j**3 + 0*j**5. What is the first derivative of g(d) wrt d?\nAnswer: 132*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -1118?\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19398803?\nAnswer: 19398803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -12*q**2 - 118*q + 3. Is 54 a factor of i(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1030 and 206.\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 702 = -498. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*s = -77*s + 39040. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -3. Let a be 2\/3*(-2028)\/4. Let j = a - -341. Solve -j*x + x = -i for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t - 40. Let s be w(35). What is the fourth smallest value in -0.12, s, 3, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 - a**2 + 3*a**2)*(-2 - 5 + 3)*(-16*a - 9*a + 23*a).\nAnswer: 24*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is b28c6 (base 13) in base 5?\nAnswer: 40220304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of n**3\/2 - n + 911. Let f(r) be the second derivative of r**4\/12 + r**2 + 2*r. What is f(t(u))?\nAnswer: 9*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (6 - (2 + 3))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.3 and -685504819.\nAnswer: -685504818.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2660, -5176, -7690, -10202, -12712, -15220?\nAnswer: -17726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4249\/49 - (-10)\/35. Which is bigger: 610\/7 or v?\nAnswer: 610\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -1\/6, 0.2, -1, 1\/4 in increasing order.\nAnswer: -1, -1\/6, -2\/13, 0.2, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 175.1 - 175. Let o = 1325\/17 + -78. Put -0.5, 0, o, f in increasing order.\nAnswer: -0.5, o, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 6:43 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c**2 + 42*c + 5. Let b be m(-14). Suppose 4*w - 70 = -5*l, -13*l + b*w = -8*l - 115. Solve 4*k - 3*y + 2 = 0, -y - l = 5*k + 3*y for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 267*q = 96*q - 684 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 3*m + 18, -4*m + 66 = 5*d - 3*d. What is the remainder when 53 is divided by d?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 1. Suppose -2*o + o + 2 = 0. Suppose -t*x + 0*x + o = 0. Is 0 < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 116 = -77. What is the highest common divisor of 13 and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2683 is divided by 1364?\nAnswer: 1319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 8400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 194333425?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 7*z - 4*z - 5, -19*g - 70 = -5*z for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 385680 is divided by 96418?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*r + 816 - 475 + 917 = 0. What is the highest common divisor of r and 1850?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1042589 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 16\/4 - (-6)\/13*(-1222)\/188\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 2149?\nAnswer: 21490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -363.6 + 344.6. Which is bigger: 2\/7 or u?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 23 - -4*5\/(-10)*-2.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -872, -3480, -7824, -13904, -21720, -31272?\nAnswer: -42560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) + 3*sqrt(1584))\/((sqrt(192)\/sqrt(6))\/sqrt(8)).\nAnswer: 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/42)\/(1*1\/8)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2617\/6 - -438. Let m = 865243\/24 + -36058. What is the common denominator of m and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13929?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-70*v + 195*v - 437*v)*(14*v + 10*v - 7*v).\nAnswer: -5304*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 1 - 3)*(2*k**2 + 2*k**2 - 6*k**2) + 434 - 434 - 94*k**2)*(k**2 - k**2 + 2*k**2)*(-1 + 1 + k).\nAnswer: -184*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*k - 113*k + 154284 = 0. What is the hundreds digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -6, -55, -188, -447, -874, -1511, -2400?\n\"Answer: -7*w**3 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + f = 11, 2*g + 293*f + 6 = 295*f for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -3*u**2\/2 - 1. Let b(j) be the first derivative of 6*j**3 + 8671. Calculate b(w(z)).\nAnswer: 162*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -148030280 to the nearest one million.\nAnswer: -148000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + 8*c - 21. What is j(-10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 49*o = -47*o - 14, -5*v + 3*o = 21. Solve l + 3 = 3*h - v, 0 = -4*l - 5*h + 22 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 + 4)*-1 - -1. Find the common denominator of -79\/8 and w + 1 - 78\/(-84).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 224 - 157. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 3*u + u + 98, 5*u - 28 = -q. List the prime factors of q.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 1\/3 (c) 5 (d) 1.5 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6163.39 rounded to the nearest 10?\nAnswer: -6160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 13, 18, 19, 16?\n\"Answer: -2*p**2 + 11*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(2) + -1*sqrt(2)*4)**2 + 6*(sqrt(8) + sqrt(2))) + ((sqrt(2) - sqrt(6)\/sqrt(3)) + 5 + sqrt(8)\/(sqrt(16)\/sqrt(4)))**2 + 0)*-6.\nAnswer: -708*sqrt(2) - 810","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2\/49, -0.6, -0.1, 22?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (228\/(-266))\/((-12)\/21)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2652*q**2 + 5*q + 7171. Let j(h) = -2701*h**2 + 6*h + 7170. Let k(z) = -5*a(z) + 4*j(z). Find the second derivative of k(m) wrt m.\nAnswer: 4912","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*v + 3 = 0, -v + 18 = 5*o + 3*v. Let f(s) = -8*s + 51. Let y be f(o). Solve -y*i + 10 = 2*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5396*l + 179316 = 4575*l + 4508 - 243974 for l.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 1.03.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 8 + -5 + -4 + 3 - (-42 + 2)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, c: 1, h: 1, r: 1, p: 2, m: 2}. What is prob of picking 1 m and 1 h?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1756 is divided by 432?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 6*z. Suppose 5*f - 4*b = -39, -5*f + 9*b = 7*b + 37. What is x(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/20 and -37\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -124a3 + 40?\nAnswer: -12463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 70044 divided by 5837\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 1 (b) -0.4086 (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-65)\/(-15) + -2)*36\/63. Let r = -71 + 215\/3. What is the closest to 1\/3 in -1\/4, r, f?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((0 + sqrt(99) + -3)*3 + -5)*-5*3*2.\nAnswer: -270*sqrt(11) + 421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m - 4*m + 3*m)*((1 - 3 + 0)*(-3*m + m + m) + 2*m - m - 2*m).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3242600.\nAnswer: 2, 5, 31, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -8. Suppose n*s = 7*s - 48. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = -3*o - 2*c, -c - 8 + 10 = 0. Let p(r) = 11*r + 211. Let n be p(o). Solve -6*j - n = -7*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1238 - 1243. Put 4, 1\/7, 2\/7, b in ascending order.\nAnswer: b, 1\/7, 2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 285852?\nAnswer: 2, 3, 7, 41, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*s + 98*s - 45*s + (-5 - 1 + 4)*(s - 2*s + 0*s) + (2 + 1 - 1)*(5*s + s - 1 - 5*s) in the form x + p*s and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**2 - 7437116*a - 6913836799682 = 0 for a.\nAnswer: -1859279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r**2 + 45*r - 45*r + 4*r**2.\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 9) to base 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7444741 - -1?\nAnswer: 7444742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1540\/(-25))\/(1\/5). Calculate the common denominator of u\/24 + 2 + (5 - 4) and 107\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zuz when three letters picked without replacement from {x: 1, z: 2, a: 4, v: 1, u: 1}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 + 163 = 2*m. Let s = 61 - m. Determine z so that 0 - 2\/3*z + s*z**2 - 2\/3*z**5 + 4\/3*z**3 + 0*z**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of o**6\/120 + o**5\/15 - o**4\/12 + o**3\/3 + 13*o**2 - 2. Calculate w(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 - -2) + (-1)\/1. Let x(f) = f**2 - f + 7. Let a be x(g). Calculate the highest common factor of a and 297.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 136237?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 63, 1, 3\/8, 1\/11, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 40444 (base 5) in base 3?\nAnswer: 10121012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 11254\nAnswer: -5\/11254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/56 and -31\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10168 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*a - 96 + 312 = 0 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*n = 4*g + 78*n - 41*n - 140, 0 = -2*n - 64 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -121178, -969435, -3271862, -7755545, -15147570?\n\"Answer: -121181*w**3 + w**2 + 7*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 52?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -4. Let u be (r + -25)*-2*1. Suppose -2*g + u = -348. Round g to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186 = 4*x - 3*x. Suppose 0 = 3*q - 3*g - x, 0*q = -q - 2*g + 50. Calculate the remainder when q is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + w - 2*x = -11, -w - 24 = -5*x. Suppose 26*s = -66 + 118. Let o(b) = -1. Let u(i) = -2*i + 1. Give s*o(p) + w*u(p).\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/18 - ((-798)\/(-27))\/(-7). Suppose h + 70 = -v + 3*v, -n*h - 2*v - 300 = 0. Does 7 divide (h\/(-4))\/(4\/8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -127827\/13 - -9833. Which is the second smallest value? (a) y (b) -4 (c) 0.3 (d) 4 (e) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*a + 140 - 40*a - 65*a + 5*a**2.\nAnswer: 5*(a - 14)*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1181702161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r - 2*g - 105, 153*r + 61 = 157*r + 3*g for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10137492 is divided by 4272?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35479.999956261 + 35480. Round j to 7 decimal places.\nAnswer: 0.0000437","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-0.13173.\nAnswer: -0.13173","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13127666?\nAnswer: 2, 6563833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2220)\/11396 + (-2)\/(-7). Let y = 3.3 - 2.3. Which is the closest to y? (a) 5 (b) -4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25\/4*i**2 - 5\/4*i**3 + 30 + 5\/2*i = 0. Calculate i.\nAnswer: -4, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-898)\/7633 - (-20)\/459.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = 24*s - 110. Let z(n) be the second derivative of 1\/2*n**s - n**2 + 4*n + 0. Give z(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2322?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5 + (sqrt(125) + 3 + 1 - (sqrt(125) + -2 + 1)))**2*6*5.\nAnswer: 9000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3170 a factor of 57430890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g + 2068 + 4*g - 1011 - 1042.\nAnswer: 3*g + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13691057 and 2649882.\nAnswer: 82146342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - (-4)\/3)*12. Suppose -o*i + 15 = -1. Suppose -3*w + 13 = -2*t, i*w - 22 = -2*t - 0*w. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -78 and 9.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -3. Calculate the greatest common factor of 3 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4217 = -12235*c - 387303 for c.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -112210021?\nAnswer: -112210032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**2 - f - 2 + 6*f**2 - 7*f**2 - 3*f**4 + 4*f**2 in the form p + d*f + z*f**2 + q*f**4 + u*f**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -2*u + 8, -4*d = 2*u + 1 - 3. Let s be (-23)\/(-5) + d\/(-5). Factor -2\/5*w**3 + 1\/5*w + 0*w**2 + 0 + 0*w**4 + 1\/5*w**s.\nAnswer: w*(w - 1)**2*(w + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1710 + 1638 = 18*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of 16*p**7\/315 + 134*p**6\/45 - 277*p**5\/30 + 157*p**4\/18 - 35*p**3\/9 + 1036*p**2. Solve h(g) = 0.\nAnswer: -35, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a - 200 = 19*o - 23*o, 3*a + 8*o + 29 = -2*o for a.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 9 = -p, 2*p + 0 + 2 = 4*a. Let x = -4.1 - -9.1. What is the second biggest value in a, x, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13\/17544 + 1369\/2193. Find x, given that 1\/8*x**4 + 1\/8*x**3 + 0 - n*x**2 + 3\/8*x = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -3*x - 84 - 76, 9*x = 4*z - 338. Solve z = -27*t + 71 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 49547.7 litres?\nAnswer: 49547700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11448014849 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccrr when four letters picked without replacement from {c: 11, r: 3}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 4*c - 4*c**3 - 3*c**3 + 17*c**3 + 5*c**2 - 6 - 11*c**3. Suppose -2*g = -5*g + 18. Determine p(g).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + (-3 - 12 - -34)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -294912 = 4443*m - 77205 for m.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -431 - -428. Let t(z) = -2*z**3 - 4*z**2 - 4. Let m(p) = p**3 + 3*p**2 + 3. Suppose 5*o = -12 - 8. Give o*m(l) + v*t(l).\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/735 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -0.81522\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100000010 (base 2) to base 3.\nAnswer: -100120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2389073653 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -10281, -41064, -92369, -164196?\n\"Answer: -10261*q**2 - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 658 = 3*q, -3*z + 2*z + 1 = 0. Is q a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2655900 rounded to the nearest 10000?\nAnswer: -2660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 2*l + r - 209, -2*r = -l - 206. Let d = -4107\/2 - -2098. Find the common denominator of d and 4 - (l\/(-48) + -1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 11, k: 5}. Give prob of sequence khh.\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*a + 26*a - 2184 = 17*a. Calculate the lowest common multiple of 504 and a.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -201461?\nAnswer: -1007305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, 7, -3826, 4 in descending order.\nAnswer: 24, 7, 4, -3826","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -985556560 divided by 22919920?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 67543*y**3 - 683*y + 93597443.\nAnswer: 202629*y**2 - 683","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 704, 1249, 1792, 2333?\nAnswer: 2872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.049 from -2368518.\nAnswer: -2368518.049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41768 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, o: 1, y: 7, g: 4, x: 2}. What is prob of picking 1 y and 1 e?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + s + 8 = 0, 0 = -5*f + s - 0*s - 6. Let z = -1396 + 4295\/3. Let d = z + -36. What is the nearest to d in 2\/5, f, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -t + 7, -5*t - 28*y + 31*y = -43. What is the smallest common multiple of t and 4577?\nAnswer: 50347","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1040917 and 1.\nAnswer: 1040917","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (58\/4959)\/(26\/234)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-20 - -25) + 9 + -20 + -2 + 1?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 125351 + -66895. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 9*h**2. Let u(j) = -6332*j**2. Calculate a(u(y)).\nAnswer: 360848016*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - 27)\/(-4) - 1. Suppose -31 = -3*x + 3*m + n, -x - 4*m = 3. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3*u**2. Let a = 12 + -2. Let v(j) = j - a*j + 10*j. Give v(s(d)).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -259c7 (base 15) to base 7\nAnswer: -1010560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 388, -8, -5, 4, 1 in ascending order.\nAnswer: -8, -5, 1, 4, 388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*f**3 + 14*f**2 + 773*f.\nAnswer: -30*f + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from waaaafaaqaqfaaqa?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17205 + -17180. Solve k + 2*q - 6 = 0, 2*k - 19 = 2*q - w for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*f + 4295 + 7801. Let z = 380 + f. Solve -3*j - z*h = -3*h, 7 = j + 2*h for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/581 and 26\/84231.\nAnswer: 6991173","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3304)\/(-48) - (-2)\/12 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -35, -40, -21, 34, 137, 300, 535?\nAnswer: 854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of w**5\/30 - 17*w**4\/2 + 361*w**3 + 1398*w**2. Differentiate x(q) with respect to q.\nAnswer: 4*q - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 47348654?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -172699 - -259541. What is l rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-17))\/(x*x**(-16)))\/((x**(3\/7)\/x)\/x*x**(-31)\/x) assuming x is positive.\nAnswer: x**(466\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 538 is divided by 149.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -3*l + 2*g, 21*l - 24*l = 3*g - 9. Sort l, 5, -66, -7 in ascending order.\nAnswer: -66, -7, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -179*w**3 + 2*w - 2. Let g be u(2). Let m = 25703\/18 + g. Calculate the common denominator of m and (-469)\/(-42)*(-6)\/(-9).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 17*g - 2100. Suppose -w + 55 = r, -2*w = 4*r - 86 - 14. What is the highest common factor of w and g?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 3137801\nAnswer: -1\/3137801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a + 5*x - 31 = 7*a, -13*a + 7 = -11*a + 3*x - 6 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -48+-19.04\nAnswer: -67.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-127)\/508 - 266\/(-1128))\/((-2)\/(-6)).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31\/82776 or 1?\nAnswer: -31\/82776","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 815?\nAnswer: 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.07 - -0.01. Let x = m - 1. Let z = 1.059953 + x. What is z rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/29, 0, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b + 4. Let k be h(-10). Suppose -k = -2*a + 104. Suppose -3*w + a = -2*w + p, 2*w + p - 121 = 0. Does 9 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11819 and 265?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -4130*f**2. Let l(y) = -6*y - 271. Determine l(v(s)).\nAnswer: 24780*s**2 - 271","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-2 - -4 - (-2 + 2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 153 + -151. Solve -2*m = s + 6, -r*m + 4*s = 2 + 24 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 - 12*x - 12. Let u be o(-10). Let t = u + -6. Suppose 0 = 5*a - t*a - 579. Is a a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 91 = -3*x + 3*t, 3*t - 120 = 5*x. Find the common denominator of x*1*(-10)\/156 and 125\/6.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/314 - -1334\/157. Suppose -21*q = -382 - 38. Suppose q = 171*g - 169*g. Does g = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 13, k: 1, s: 3}. What is prob of sequence ksd?\nAnswer: 13\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-5\/4)\/m**(2\/5))\/(((m\/(m\/((m*m**(-3\/5))\/m))*m)\/m)\/m**(-1))*(m**(-1)\/(m\/(m*m\/m**(-2\/17))))**(-37) assuming m is positive.\nAnswer: m**(-2177\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*x - 20*x + 80*x - 28*x.\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence liis when four letters picked without replacement from islisiil.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 15*b**2 - 12. Let h(c) = 2*c + 50. What is m(h(o))?\nAnswer: 60*o**2 + 3000*o + 37488","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 33*i + 559. Let h(b) = -13*b - 186. Give 3*a(l) + 8*h(l).\nAnswer: -5*l + 189","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2118 + 24.1518. Let q = z + -24. Round q to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4731 and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - 7*g - 1. Let i = 14 + -20. Let z be c(i). Suppose o - z*h = 27, -2*o + 24 = -4*h - 0*h. Solve -o*s = -3 - 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1186 - -4?\nAnswer: -1182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from hyhhyhhhyhyhyh.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19461 + 33158. What is the ten thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4728 is divided by 2341?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvevvvevvvvvvvvvv. What is prob of sequence ve?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6.8 (b) 0.5 (c) -4 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7027 + 64?\nAnswer: -6963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 25*s**2 + 25*s + 36. Let g be d(26). Let u = 0.0213 - -3.9787. Which is the third smallest value? (a) u (b) g (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*c - 3 = -88*c. Let k(s) = s**3 - 4*s - 1. Let j be k(-3). Is (26968\/j)\/(c\/2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2442 = 7*h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -22. Suppose 4*v + 16 = -5*u + 346, 0 = -3*u + v + 198. What is the remainder when (u\/8)\/(3\/12) is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 289426 and 359362?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*r = 4*c + 11*r - 76, -c + 28 = -8*r + 3*r for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*a + 2*a**2 + 4*a - 2*a to l*a + f + s*a**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 241586123?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 445042137 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g. Let n(c) = -c**2 - 1. Let s(h) = 2*h**2 - 4. Let v(q) = 4*n(q) - s(q). Determine k(v(j)).\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r**4 - 108*r**3 + 2328*r**2 - 8320*r - 10752 = 0. Calculate r.\nAnswer: -42, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/5352 and 65\/15144.\nAnswer: 3377112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -25*c + 65. Let u be q(7). What are the prime factors of (1320\/300)\/(1*(-2)\/u)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/19 (b) 0.7 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 399 + 86*g**3 + 2*g**3 + 2*g**4 - g**2 - 259 - g**2 wrt g.\nAnswer: 48*g + 528","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 2. Let j = 3 - v. Let n = 1 - j. What is the closest to 0.3 in 2, n, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o - 2. Suppose p - 2*a = 18, -a - 19 - 10 = -3*p. Let f be r(p). Let h(g) = -4 + 1 - 6 + 4*g - 2*g + 3. Determine h(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*q**3 + 17*q - 246 + 7*q**3 + 246 to o*q**2 + b + m*q**3 + k*q and give m.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.02 - -5.02. Let x = -34 + 33.75. Let q = 0.15 - x. What is the second smallest value in l, 0.5, q?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-12)\/27*(-15)\/(-130)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**3 - 2703*y**4 + 5250*y**4 - 2544*y**4 - 43*y**2 + 1 - 4*y in the form v*y**3 + g + t*y**4 + h*y + c*y**2 and give c.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -1073.\nAnswer: 3\/1073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -114*f**3\/13 - 172*f**2\/13 + 282*f\/13 + 340\/13 = 0.\nAnswer: -2, -1, 85\/57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of m**6\/4 - 3*m**5\/5 + m**3 - 3*m**2\/4 + 186. Factor c(t).\nAnswer: 3*t*(t - 1)**3*(t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z - 159 = -3*l, 2*l + z - 38 = -47 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(300\/80*-4*(-5)\/150).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1124.5 times 325.7?\nAnswer: 366249.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 365304 (base 7) to base 11\nAnswer: 46120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -11962562, -11962564, -11962566, -11962568, -11962570?\n\"Answer: -2*i - 11962560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + (2 - 2) + 5. Let p = m - 2. Find the second derivative of 2*a**4 + p*a**4 - 2*a - 2*a**4 wrt a.\nAnswer: 36*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 14*q**2. Let g(o) = 536*o. Determine g(d(r)).\nAnswer: 7504*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2852, -5703, -8554, -11405?\nAnswer: -14256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 0*h**3 + 8*h**3 - 177 + 448*h + 99 - 3*h**3 - 156 wrt h?\nAnswer: 15*h**2 + 448","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*i + 2*i - 10*i - 3*i - 158 - 110 as g*i + s and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + -2 - 80\/(-60). Let n = 0.4 - 1. What is the second biggest value in -0.3, n, j?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/16*((-32)\/(-60))\/((-9)\/15)?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 - -19. Let l(o) = o**2 + 5*o + 8. Is l(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -u - 12. Suppose u*o + 6 = 48. Solve -3*b + 2 = o for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33.7 - -34.92. Which is smaller: 1 or p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -3*u - 18. Suppose 4*n + 40 = 4*t, -2*n + 12 = 5*t - 52. Calculate the greatest common divisor of u and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 87362 - 87363.499925. Let x = t - -1.5. What is x rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(2) - (3 + (sqrt(6)\/sqrt(3) - sqrt(2))))*-4.\nAnswer: -8*sqrt(2) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 7*p. Let f(b) = b + 15. Let z be f(-13). Suppose 10 = z*s + 3*s. Let v(o) = 0*o - 3*o + s*o. What is l(v(r))?\nAnswer: -7*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -93 - -261. Calculate the greatest common divisor of 21 and k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g + 1. Let y be (8\/4 - 3)*5. Let q(o) = o + 1. Let c(h) = y*q(h) + 7*d(h). Let p = 32 + -30. Determine c(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30952663.6*-0.5\nAnswer: -15476331.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12.476 and 0.3?\nAnswer: 3.7428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 2 - (-2 + 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-10 + 5 - (1 - 16))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(114) - (sqrt(114)*-2 - sqrt(114)))\/sqrt(6) - (-3*sqrt(38)\/sqrt(2) - sqrt(19))) + 0)*-4*1)**2.\nAnswer: 19456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 2*w + 0*w)*(0*w**4 + 0*w**4 + w**4 - 3*w**4 - 2*w**4 + 4*w**4 + (-1 - 2 + 5)*(2*w**4 + 1 - 1) - 27*w + 3*w**4 + 27*w).\nAnswer: 14*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26782*m - 6080 = -27086*m for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 9 - (-2 - -1 - -2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 240209?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24810?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of -7*f**6\/120 + 2*f**3\/3 + 3*f**2. Suppose -9*h - 8 = 91. Let d(z) = 20*z**3 - 11. Calculate h*c(l) - 4*d(l).\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1698 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.8 + 3. Let m = 0.09 + -0.89. Let r = s - m. Is r at least 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.042 * -4\nAnswer: -0.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 66.\nAnswer: -26.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 8*o - 11*o. What is r in -9 - 3*r + 15*r**2 - o*r - 2*r + 5*r = 0?\nAnswer: -3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16)\/(-3)*39\/26. Which is the biggest value? (a) 0.3 (b) 4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-774)\/(-39) + 0 + 4\/26. Let z = -61\/3 + q. Let d be 14\/2 + (-6)\/2. What is the nearest to z in d, 2\/23, 0.2?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -3.27681 and 4.\nAnswer: 0.72319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 42\/(-12) + (-1)\/2. Let z be 1 + -6*4\/(-12). Sort z, 11, c in decreasing order.\nAnswer: 11, z, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3375 + 3412.86. Let t = -0.86 + j. Let o = t - 37.2. What is the closest to o in -0.3, -2\/7, 2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 3045?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of d**5\/25 + 4*d**4\/5 + 88*d**3\/15 + 96*d**2\/5 + 144*d\/5 + 594. Suppose x(r) = 0. What is r?\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 147964978*j**2 - 3*j - 694331833 wrt j?\nAnswer: 295929956*j - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2223 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssihissajeesiseashss. What is prob of sequence eiea?\nAnswer: 1\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2831*r**2 + 2835*r**2 + 78*r - 82*r + 18 as i*r + w*r**2 + q and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 138523 a multiple of 257?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 23 and -0.5?\nAnswer: -11.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8048270 rounded to the nearest 100000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 4*b, 48*f + 5*b = 49*f - 29. Sort -99, f, -15, 0 in increasing order.\nAnswer: -99, -15, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7095624622 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 11:17 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seven halves of a tonne?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -250, -496, -742, -988, -1234, -1480?\nAnswer: -1726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 414 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 122122001111111?\nAnswer: -122122001111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -45839\nAnswer: -137517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3 + 180476*w**2 + 1563891*w - 541350.\nAnswer: (w + 9)*(w + 60150)*(3*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 145 + 5. Let x be (2\/(-3))\/(n\/18). Let r = -12461\/13 + 959. What is the second biggest value in x, r, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 362*p**2 + 361*p**2 + 359*p**2 + 364*p**2 + 14 - 1811*p**2 + 364*p**2.\nAnswer: -p**2 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 * -51510.47\nAnswer: -1545.3141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((1*-3*sqrt(176)*3)**2 - ((sqrt(176) - -3*(-3*sqrt(176) - sqrt(176) - sqrt(176)))*1)**2) + 0).\nAnswer: -101200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 - 6*s - 3. Suppose 8*n - 3*n = 25. Suppose -6 = -n*h + 8*h. Calculate b(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -11 - (-29 + 9 + 18)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 31fa65 - 0?\nAnswer: 31fa65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 78690 and 5852706.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 3:25 AM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35783 is divided by 3253.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2379\/208*12\/9 + (-5)\/4. Factor f**3 + d*f + 21\/2*f**2 + 9\/2.\nAnswer: (f + 1)*(f + 9)*(2*f + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 22*b**2 + 447*b + 1519. Determine d(-16).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(1430\/(-564)) - 44\/121?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 10 + -1 + -5 + -1 + 5.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (29 - 48) + (-3 - -19) + -3 + 6 - -54?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*j**2 + 7230 - 3611 - 3619.\nAnswer: 99*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/5 greater than -14\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/12 + (-9)\/36)\/(5 + -6). Which is bigger: w or 2\/10499?\nAnswer: 2\/10499","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -3*t - 13 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 321.242 and 1.06.\nAnswer: 322.302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -104\nAnswer: -5\/104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 948 - 34135\/36. Calculate the common denominator of 67\/4 and t.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 4*s**2 + 3*s - 6. Let n be l(-5). Let z be -6*((-39)\/9 + n). Factor -26*f + 14*f**4 + 5 + 15*f**4 + 40*f**z - 26*f**4 - 22*f**3.\nAnswer: (f - 5)*(f - 1)**2*(3*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11718*a**4 + 14179*a**3 - 920*a**2 + 6283?\nAnswer: 281232*a + 85074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 5*k + 29. Calculate the remainder when 86 is divided by i(0).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25797.7 rounded to the nearest 1000?\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 6*d**3 + d. Let w(a) = 24*a**3 - 3*a + 1. Calculate w(z) + 2*y(z).\nAnswer: 36*z**3 - z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 279 + -213. Let m be v\/3 + (-6)\/(-6). Calculate the greatest common divisor of m and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 5*w - 37 = 0, 13*w + 74 = 2*k + 12*w. What is the greatest common divisor of 74 and k?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -2*y + 30 - 0, 3*y - l - 46 = 0. Suppose 3*w + 111 = r, 2*w + 5*r + 32 + 25 = 0. Let s = 56 + w. Calculate the least common multiple of s and y.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 3*j + 16 = 0, -66*i + 63*i + 5*j = -41 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-1 + -45 + 33).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2*sqrt(2448)*-4)**2*-2.\nAnswer: -1566720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 + 14. What is the least common multiple of 15 and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -272 - -337. Suppose -2*f - k = -103. Let g = 89 + -13. What is the highest common factor of g and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**4\/5 + 9*x**3\/5 - 3*x**2\/5 - 9*x\/5.\nAnswer: 3*x*(x - 1)*(x + 1)*(x + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31568001, 31568002, 31568003, 31568004, 31568005, 31568006?\nAnswer: 31568007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 0.046, 4, 0.35799?\nAnswer: 0.35799","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from orrr. What is prob of picking 3 r?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/212382 and 121\/6156?\nAnswer: 424764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4482672?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three eighths of a kilometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(1\/4)*(i\/(i*i\/(i\/(i*i*i*i*i*i**2\/i))))\/i)\/(i\/((i**(-1\/7)*i)\/i)*i**(-7)\/i*i) assuming i is positive.\nAnswer: i**(-11\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 165*h**2 - 115*h**2 + 71*h**2 - 3*h - 122*h**2 + 3*h.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1550 is divided by 1\/8 - (-25)\/(-40)*609\/(-35).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 188*p**2 - 123*p + 23104. Give k(188).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 6*n. Let y be v(-6). Let z = -7 - -4.2. Let g = z + 3. Which is the second smallest value? (a) 3 (b) g (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of 23*m**4\/12 - 6*m**2 - 25*m. What is the derivative of l(u) wrt u?\nAnswer: 46*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -55.2 - -55. Which is bigger: m or -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 8*k - 76. Let l = k - -75\/4. Let r = -8 - -8.3. Which is smaller: l or r?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.08 + -0.18. Let z = -17.7 + 14.7. Which is smaller: z or f?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z. Let m(t) be the first derivative of -19*t**5\/60 - 12*t**2 + 3. Let h(p) be the second derivative of m(p). Calculate h(j(c)).\nAnswer: -76*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 26*l**2 - 29*l - 50. Let y be a(-27). Let c be (-30)\/y*((-89426)\/10 + 1). Is (c\/27 - (-16)\/72) + -1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31 - 28. Solve k*j + 0*j = -12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -d**4\/22 + d**2\/11 - 71. Factor y(b).\nAnswer: -2*b*(b - 1)*(b + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 105432670.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 0*p + 1 - 4*p - 1. Let u(g) = -3*g**2 + 109 + 92 - 201. Give t(u(w)).\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-11) - (-51)\/99)*(1 - 0). What is the second smallest value in x, -2\/129, -1\/2?\nAnswer: -2\/129","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10401353.11 rounded to the nearest 100000?\nAnswer: 10400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-1)\/21*3\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 614*q = 611*q + 1824. Calculate the greatest common divisor of q and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 956 - -398. List the prime factors of n.\nAnswer: 2, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/11? (a) -1\/9 (b) 0.077 (c) -1 (d) -1\/4 (e) 942 (f) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18475044 (base 9) to base 3.\nAnswer: -122112112001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, 3, 573, -0.1, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oyyyooooyo. Give prob of picking 3 o.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 q when two letters picked without replacement from rirpiirrrprzlqp?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -303*i + 591*i - 299*i.\nAnswer: -11*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that j**5 - 26*j**4 - 28*j**3 + 26*j**2 + 27*j = 0.\nAnswer: -1, 0, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -4*m**3 - 12*m**2 - 35*m - 18. What is d(-5)?\nAnswer: 357","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 7777836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 divided by -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 529000487 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 133467412?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 7000*w**4 - 1392*w**2 + 8*w + 4. Let q(k) = 2*k**2 - k - 1. Let h(l) = 4*q(l) + r(l). What is the third derivative of h(t) wrt t?\nAnswer: 168000*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3*(-5 + (sqrt(343) - 4*sqrt(343) - sqrt(343)) + sqrt(343))**2 + 5).\nAnswer: -55986 - 3780*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/((-21)\/96))\/4\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1002343 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 651550606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -229, -243, -273, -325, -405, -519, -673?\n\"Answer: -d**3 - 2*d**2 - d - 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 1314085?\nAnswer: 1\/262817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 4*d**2 - 9. Let g(p) = 5*p**2. Give s(g(r)).\nAnswer: 100*r**4 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 84.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from zggggggggz?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137461500.\nAnswer: 2, 3, 5, 11, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.05 (b) 0.2 (c) 1\/6 (d) 1.316 (e) 1\/4 (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*b - 377*b**3 - 488*b**3 - 32*b + 18*b in the form i + d*b + x*b**3 + v*b**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -296902*l**6 - 3*l**2 - 34545 wrt l.\nAnswer: -35628240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2254025 + 10401?\nAnswer: 2304430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of l**6\/300 + l**5\/150 - l**4\/60 - l**3\/15 + 8*l**2. Suppose n(c) = 0. Calculate c.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 133312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 2:34 PM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 180 and 108.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/15*3\/(-9)*(-1200)\/16?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3c14a - -21?\nAnswer: -3c129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3654 is divided by 3654.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3806220 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: Is 53960882009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7\/26 + -10\/13. Let o = -12 + 17. Let t = -5 + o. Which is the third smallest value? (a) t (b) w (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 246*q**3 + 3*q**2 + 2*q + 1. Let p be a(-2). Let w = -31435\/16 - p. Calculate the common denominator of -61\/20 and w.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - 7*d**2 - d - 3. Let o be r(7). Let w = 4 + o. What is the units digit of 2 + 1\/((-3)\/w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/5)\/n)**14\/(n**(-7)*n\/n**(2\/9)) assuming n is positive.\nAnswer: n**(-224\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 7*u**2 + 6*u + 5. What is v(-3)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 a factor of 387912430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 40507 = -4*x + 149707, 0 = -x + g + 27314. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((3*sqrt(960) + 4*-1*sqrt(60))*-6)\/((2*sqrt(900))\/(sqrt(75) + sqrt(75)*-1 + sqrt(75))).\nAnswer: -120*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91102155.\nAnswer: 3, 5, 1531, 3967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/15? (a) -3 (b) 2\/5 (c) 2.1 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34820*n**3 + 4 - 35842*n**3 - 4.\nAnswer: -1022*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 2)*(1 + 3 - 1)*(35 + 64 - 37)*(3*j - 3*j + 3*j) as g + r*j and give r.\nAnswer: 1674","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68563, -137490, -206417, -275344, -344271?\nAnswer: -413198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w**3 - 3*w**2 + 3*w**3 + 2*w + 0*w - 5*w**2 to the form l + h*w**3 + b*w + o*w**2 and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1448*f**3 + 36 - 15 + 12099*f**3 - 6 - 15.\nAnswer: 13547*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o**3 + 0*o**3 - 2*o**3 + (o + o - 3*o)*(-4*o**2 + 0*o**2 + 2*o**2) - 2*o**2 + 2*o**3 + 2*o**2 + 0*o**2 - o**3 + 0*o**2 + 1 + o**3 - 1.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56)\/(-224)*(-4)\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1773 and 78997.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1044 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - 4*i**2 - 2*i - 5. Let m(n) = -12*n - 5. Let k be m(2). Let f = k - -33. Suppose f*u - 2 = 14. Give b(u).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xhg when three letters picked without replacement from {x: 1, h: 3, t: 2, g: 4, z: 4, u: 1}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 596371?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -111, -10, 572, -3, 0.\nAnswer: -111, -10, -3, 0, 572","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 7*h + 4. Let t(r) = -4*r - 2. Calculate -6*p(z) - 13*t(z).\nAnswer: 10*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*b + 9*b**4 - 9*b**4 + 14*b**5 - 8*b wrt b?\nAnswer: 280*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 54*n**2 - 2. Let h(j) = -54*j**2 + 2. Give -3*h(v) - 2*x(v).\nAnswer: 54*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 5) + (-10 - -11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(170) + sqrt(170))\/sqrt(10) - -3*sqrt(68).\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.3 and 3680.697?\nAnswer: 3680.397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3704331631?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3133 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -s**3 + 13*s**2 + 35*s - 13*s**2 - 6*s**3 wrt s?\nAnswer: -42*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 15) in base 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*d - 32*d - 27*d - 26*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.3 - -0.47. Let g = -0.03 - y. Sort g, 0, -2 in descending order.\nAnswer: 0, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 28*c. Let s(p) = -3505*p. Determine w(s(v)).\nAnswer: -98140*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*i = -60*i + 158*i - 4453 for i.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 47065488 and 2676?\nAnswer: 2676","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 28 in 2, -1, -8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 200953?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, n: 1, r: 1, h: 1, f: 1}. What is prob of sequence fzr?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 - 22*a**2 - 59*a - 35. Let r be o(-19). Solve -r = -30*h + 32*h - z, 4*h + 5 = z for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*w - 21*w = -160. Let c(f) = 8*f - 26. Give c(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of -543*u**2 + 2*u - 5. Let w be c(2). Round w to the nearest 100.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 78896.4 years?\nAnswer: 7889.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -330434*b*s - 605420*b wrt s?\nAnswer: -330434*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 16) in base 10?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -3. Let z(w) = 54*w - 217. Let s be z(4). Let i be s\/(-3) + (-210)\/378. Which is the nearest to i? (a) v (b) -1\/7 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 12, p: 3}. What is prob of sequence spss?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0436 - 0.2564. Which is the nearest to 3? (a) d (b) -0.04 (c) 40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 6*q**2 - 6*q - 2. Let h(d) = 31*d**2 - 31*d - 11. Let x(k) = 2*h(k) - 11*m(k). What is the second derivative of x(f) wrt f?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -2*g + 97, 107 = -2*c - 2*g + 57 for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2255 + -150. Is j a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3*k + 2)*(-5 + 5 - 19).\nAnswer: -57*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 8 = -2*t + 2*i, -2*t + 12 = -2*i for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 8:34 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75940870704 + -0.78.\nAnswer: -75940870704.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -3.9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three tenths of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 44006375141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10295, 10234, 10139, 9992, 9775?\nAnswer: 9470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 689540 is divided by 390.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 4*y - 10 = 58, -13 = -q - y. Suppose q = 4*b + 176. What is b rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*i**3 + 61*i**2 + 56*i**2 - 117*i**2.\nAnswer: -31*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m**4))\/(m*m\/m**(-10)))**(-2\/59)*(m\/(m**(-1\/2)\/m*m)*m)\/((m\/(((m\/m**(-6))\/m)\/m))\/m)*m**(4\/3)\/m**(-2\/9) assuming m is positive.\nAnswer: m**(10193\/1062)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 299720 rounded to the nearest ten thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 526, 2079, 4682, 8347, 13086, 18911, 25834, 33867?\nAnswer: 43022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/6 or -5.5?\nAnswer: -5.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(-1)*d*((d*d\/(d\/(d**(-8\/11)*d)))\/d)\/d*d**41\/d**29 assuming d is positive.\nAnswer: d**(135\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15401?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 301228?\nAnswer: 2, 75307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f + 5. Let t = -14 + 7. Let n = t + 2. What is the tens digit of a(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 5*g + 6. Let c(n) = -n**3 - n**2 - 6*n - 7. Suppose 70*q - 114*q + 220 = 0. What is q*v(a) + 4*c(a)?\nAnswer: -4*a**3 + a**2 + a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*c*o**2 + 2*c*o + 6*c + 576*o**2 + o + 3 with respect to c.\nAnswer: 8*o**2 + 2*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 51240 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 92*y**2 + 22365*y + 2215. Calculate j(-243).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 38 = 2*r - 3*t, -62 = -r - 5*t. Let p(b) = b**2 + 12*b - 4. Let o = -28 + 37. Calculate the remainder when p(o) is divided by r.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 + -21. Solve -h*r - 4 = -5*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2531630070?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/45)\/((-4)\/(-4))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18372 divided by 12?\nAnswer: 1531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - 9*z + 4. Let j be m(8). Let o(s) = s**3 + 4*s**2 + s + 8. Let v be o(j). Suppose 4*t + 1 = -k + v, -5*t + 3*k - 9 = 0. Sort t, -4, 4.\nAnswer: -4, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((86\/387)\/((-1)\/(-9)))\/(1*-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11747082?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 285 and 1539.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -198 + 384. Let n = c - 186.00081. What is n rounded to four decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/29)*c)\/c)\/c**(-24) assuming c is positive.\nAnswer: c**(694\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1004157 and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 0*v**2 - 3*v**2 + v**2 + 4*v**2. Suppose 3*d = 8 + 1. Let t(y) = -2*y - 4*y + 10*y - d*y. Calculate x(t(u)).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 18*i. Let j(p) = -35*p + 15*p + 10*p + 16*p. Let u(x) = 21*x. Let c(y) = -18*j(y) + 5*u(y). What is n(c(k))?\nAnswer: -54*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + -24aa?\nAnswer: -24b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l. Let k(n) = -2*n. Let u(c) = -3*g(c) - 5*k(c). Let o be 2\/4*6 - -2. Let p(b) = 2 - 7 + o - 2*b - 2*b**2. What is -p(y) - 2*u(y)?\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jxjx when four letters picked without replacement from {j: 10, x: 5, a: 4}.\nAnswer: 25\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1059982 (b) -24 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(600)\/sqrt(160))\/(sqrt(768)*1 + sqrt(768)).\nAnswer: sqrt(5)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 204525 or 204499?\nAnswer: 204525","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.08 and 37.\nAnswer: 37.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11339755 is divided by 1207.\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 50583 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69608?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 389\/3*(-2)\/4. Let q = -70 - b. Let w = -10855 - -75949\/7. Calculate the common denominator of w and q.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15763 + 29574. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.49848mg in nanograms?\nAnswer: 97498480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 31, 53, 95, 163, 263?\nAnswer: 401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-90)\/54*(-2)\/105. Put 0.2, s, 4 in descending order.\nAnswer: 4, 0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-12)\/14)\/(43\/774))\/((-22)\/77).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 879 = 4*c + 27. Suppose -c = -3*b - 0*x + 2*x, -3*x = -4*b + 284. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 53*r - 41*r. Let z be r\/5 + (-228937)\/(-235). Calculate the highest common divisor of z and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1088) + 2 + sqrt(1088)*2*2 + (1 + sqrt(1088)*-1 + sqrt(1088))*-1)**2*3.\nAnswer: 480*sqrt(17) + 81612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 116953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 72828319 a multiple of 661?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 3*n - 22 + 1, 0 = -2*n - 2*f - 6. Let k be 0\/2*6\/(-18). Sort n, k, -1.\nAnswer: -1, k, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19069977 and 2280?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -527*y - 189 - 10611 - 2902 for y.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, t: 2}. What is prob of picking 1 t and 1 r?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 576, 590, 618, 666, 740, 846?\n\"Answer: b**3 + b**2 + 4*b + 570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17 and -848672.\nAnswer: 14427424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3*t**2 + 14*t - 2. Let d(s) = 9*s**2 - 43*s + 7. Determine 2*d(l) + 7*z(l).\nAnswer: -3*l**2 + 12*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**3 - 394*o**2 - 32496*o - 566784 = 0. Calculate o.\nAnswer: -288, -82, -24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30013010 (base 5) to base 3.\nAnswer: -102221212210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13082?\nAnswer: 2, 31, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 12*o**2 + 4*o + 4. Let x be (-2 + 2)\/4 - -12. Let r be c(x). What is r rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5049871.955554 - -5049894. Let y = i - 0.033446. Let a = y + -22. What is a rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 (base 7) in base 13?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 4*c = -10, c = -18*k + 15*k - 7. What is the nearest to k in -0.3, 4\/3, -1\/4, -8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(17\/(-8) + 2). Suppose -c + r = -13. Suppose 5*x = 2*v - 2 - 12, 2*x + c = 3*v. Calculate the greatest common factor of v and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 3, l: 1, a: 1, h: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -482, -447, -412, -377, -342?\nAnswer: -307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 876 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 100 - 100.4. Let y be -5 - (0 + -1 + 1). What is the closest to 1 in d, y, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - -16 - 8 - (-61 + (0 - -6)) - 16?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 5*p = -2*n - 13, -2*n + 17 = -5*p. Calculate the least common multiple of 11 and n.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 2*y + 41 = 49, -2*c + 12 = 2*y for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 177 (c) -0.5 (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15969?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4340 - 10?\nAnswer: -4400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -34*r. Give l(-2).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2125 and 122570.\nAnswer: 3064250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**3 - 2222*u**2 - 6692*u + 8912 = 0. What is u?\nAnswer: -4, 1, 1114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + c + 6 + 6 - 10.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*(l*l\/l**(3\/2))\/l)\/l)\/(l\/(l**(6\/5)*l)))\/((l*(l*l**5\/l*l*l)\/l*l)\/l**8) assuming l is positive.\nAnswer: l**(7\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**(2\/17)*k*k**(-1\/2)*k)\/(k**(-1\/3))**33*(k*k**(-5)\/k*k**(-1))**26 assuming k is positive.\nAnswer: k**(-4807\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.06 - 0.13. Let t = 0.23 - p. Let c = -0.3 - -1.3. What is the closest to -3\/4 in t, c, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of -n**3 - 6*n**2 + 8*n. Suppose -5*s + 1 - 76 = 0. Is b(s) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -474*d - 382*d - 220*d - 844*d + 49*d in the form n*d + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -7971 (base 10) in base 5?\nAnswer: -223341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 22 + 264*b - 255*b - 8.\nAnswer: 9*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 794 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1\/2838?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4417\/5 - -929. Let g = 46 - k. Are 1\/11 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q**3 - 9820*q**2 - 4801920*q + 19365120 = 0. What is q?\nAnswer: -984, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - i - 2. Let o(a) = a**2 + a + 2. Calculate 3*o(f) + 4*x(f).\nAnswer: -f**2 - f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of 0*t**3 - 3*t**2 + 0 + 1\/60*t**6 + 1\/105*t**7 + 0*t**5 + 0*t**4 + 0*t. Solve l(x) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15*i**2 + 14 - 17 + 5)*(7*i - 37 - 37 + 73) to the form g*i**2 + u + y*i**3 + q*i and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i**2 + 7*i - 17. Let t(g) = 3*g**3 - 22*g**2 + 4*g + 16. Let f be t(7). Calculate the common denominator of 3\/50 and b(f).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 69*n**3 + n**2 + 2*n - 2. Let c(f) = -9*f - 53. Let x be c(-6). Let z be q(x). Suppose 0 = -5*h - z + 195. Is h <= 23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 151882*v**5 + 15*v**2 - v - 323.\nAnswer: 9112920*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55498871?\nAnswer: 41, 701, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3)\/(-78))\/((-2)\/(-39)))\/((-1)\/(-8)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 129575 or 1388?\nAnswer: 1388","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -143 or 1?\nAnswer: -143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103 - 112?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1105\/170170*33\/(-24)*-4*4\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.4036965 + 7.09630494. Let j = q - 7.5. Round j to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -160377?\nAnswer: -160377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -55, -0.5, 3, 0.17, -1.18, -2, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7.02? (a) 1\/9 (b) 0.1 (c) -5 (d) -60 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + l**2 - l - 11. Let i be o(0). Let n be ((-26)\/10)\/(2\/(-10)). Let d = i + n. Solve -2*r + d = -4*p - 4, 5*p + 35 = -3*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -415 - -1091. Suppose -x + 844 = 5*a, 3*x - 4*x = 4*a - r. What is the greatest common divisor of a and 210?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -2*n. Suppose n*y + y = 30. List the prime factors of y.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 214*p - 186. Let t be x(1). Calculate the greatest common factor of t and 364.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 5406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/(-6))\/((-2944)\/(-984) + -3). Differentiate 15 - c - 9 - 63*b with respect to b.\nAnswer: -63","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -50 - (2986872\/(-1426))\/42.\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.2, 82, -0.12, -0.3 in decreasing order.\nAnswer: 82, 0.2, -0.12, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3065\/2688 - -1\/384. Solve -c*k**3 - 4\/7 + 6\/7*k + 0*k**4 + 2\/7*k**5 + 4\/7*k**2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a day in minutes?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/i**20))\/(i*i**(-4\/9)) assuming i is positive.\nAnswer: i**(175\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 1005586.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(102)*-1)\/sqrt(6))**2.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2489, 2498, 2511, 2528, 2549, 2574, 2603?\nAnswer: 2636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*l. Find the first derivative of l*q**4 - q**4 + 1 + 0 + 3*q**4 wrt q.\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23.7 - -24.7. Which is the closest to k? (a) 1 (b) -0.21 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2244 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1183 (base 9) in base 12?\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/2501 or -1?\nAnswer: 3\/2501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -34*c + 727. Let x(r) = -62*r + 1453. Give 11*b(w) - 6*x(w).\nAnswer: -2*w - 721","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + aa2?\nAnswer: a9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-6))\/(2\/(-30)). Let q = 269 + -266. Solve -q*x - k = -8, 0 = 5*x - x - z*k + 21 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -3) + 2 + 2 - (6 - -7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, z: 10, l: 4}. Give prob of picking 1 z and 1 l.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 49*v**2 - 3*v - 36*v**4 - 2 - 20*v**3 + 18*v**3 - 121*v**4 + 43*v**2 - 96*v**2 in the form a + w*v**4 + u*v**2 + q*v**3 + g*v and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/7 (b) -0.1 (c) 1\/14 (d) -2 (e) -3 (f) -656.67\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 14*c + 35*c - c**2 - 19*c + c**4 to the form v*c**3 + s*c + a*c**2 + u + f*c**4 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.01 + -10751039548716.\nAnswer: -10751039548716.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (93*4\/(-24))\/((23\/23)\/((-10)\/(-5)))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6933?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.0466 (b) 2\/11 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 PM and 8:22 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-27)\/(-6))\/((-6)\/(-8)). Let b = -207 + 278. Suppose -76*q = -b*q - 90. Calculate the highest common factor of q and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 37, -3, -29779?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1383557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -15*j**2 - 114*j - 61. Let g be w(-7). Suppose -2 = 5*a - 12, a - 10 = 4*b. Put g, b, 0, 4 in descending order.\nAnswer: 4, g, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**5 - 266*l**4 + 825*l**3 + 4810*l**2 - 8704*l - 25824 = 0. Calculate l.\nAnswer: -269, -3, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2127.2409 seconds to minutes.\nAnswer: 35.454015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108 = 6*t - 36*v, 1284*t - 1279*t + 63 = 3*v for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 531, 10.\nAnswer: 5, 10, 531","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k + 2*k + 0*k)*(270*k + 22326 - 22326)*(0 - 4 + 2).\nAnswer: 1080*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18590?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189009 is divided by 2078?\nAnswer: 1989","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -82*z**2 - 123. Let j(t) = t**2 + 1. Calculate -123*j(b) - k(b).\nAnswer: -41*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x**2 + 60*x - 17. Let d be l(-31). What is the first derivative of -10*v**2 + 81*v**2 - 2964*v + 2964*v - d wrt v?\nAnswer: 142*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129 = -88*q + 47. Factor 4\/5 - 2\/5*p**q - 2\/5*p.\nAnswer: -2*(p - 1)*(p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*h*n**3 + 21*h*n*x - 80*h - 7*n**3*x wrt x?\nAnswer: 21*h*n - 7*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -66*r**2 + 177*r**2 - 53*r**2 + 39 - 59*r**2 in the form j*r + g*r**2 + h and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and 76?\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of 673*l**4\/4 - 95*l**2\/2 - 8*l + 1024. Find the second derivative of g(m) wrt m.\nAnswer: 4038*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**2 - 5*h - 3. Suppose 2*j = 4*j - 8. Let n(z) = 5*z**2 - 9*z - 5. Let g(r) = j*n(r) - 7*v(r). Give g(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 75118*c**3*t - 18*c**3 + 477*c**2 wrt t?\nAnswer: 75118*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 13.5. Let h = -6.4 + 4.2. Let q = h + l. Which is the closest to -1? (a) 5 (b) q (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2800 - (13 + (-12 - -5 - -2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 841*q - 145*q**2 - 2 - 841*q as b*q + u*q**2 + n and give u.\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x + 5. Let h be y(7). Let m be (-6)\/(3*-1) - 3. Let k be 3\/(6\/14)*m. Let j(i) = 13*i + 6. Let f(t) = -4*t - 2. What is h*j(u) + k*f(u)?\nAnswer: 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 2 + (-1 + 0 - 1)*(0 + 1 + 4) + 3 - 6 + 4)*(2*i**2 + 0*i + 0*i) in the form c*i + g + k*i**2 and give k.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m + 23. Let f(s) = 198*s - 165. What is f(i) + 7*g(i)?\nAnswer: 205*i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/1*10120\/(-230)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -13 and 79879676582.\nAnswer: 79879676569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -9.29. Let c = -5 + 5.28. Let x = z - c. Round x to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xrx when three letters picked without replacement from {x: 17, r: 3}.\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -56*f - 294. Does 2 divide v(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5090 and 0.17.\nAnswer: -865.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12 + -37526?\nAnswer: -37514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 + 179984*k**3 - 89990*k**3 - 89993*k**3.\nAnswer: k**3 + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -256094, -512178, -768248, -1024298, -1280322, -1536314, -1792268?\n\"Answer: h**3 + h**2 - 256094*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fipl when four letters picked without replacement from {q: 1, f: 4, l: 3, i: 4, k: 6, p: 1}?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**3 + 255*b**2 - 3375*b + 3125.\nAnswer: -5*(b - 25)**2*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*t - 57 = 33 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -77*h - 228. Suppose -403*m + 398*m + 41 = -2*n, 3*n + 2*m = 5. What is p(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -202 - -360. What is the remainder when c is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*u = 26 + 2750 - 224 for u.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g - 5. Let r be m(7). Let d be -1 - -3 - r\/2. Let o(w) = w. Calculate o(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.6 to 1 dp.\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2600387033 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 133 - 130. Suppose 0 = -s - d*s - 12. Let p(t) = -t - 2*t - 4 + 5 + 2*t. Determine p(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 67 - -b?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*z**2 + 6*z**2 - 3*z**2 - 11*z**2.\nAnswer: -17*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 8*d + 3. Let u(s) = -16*s - 7. What is -5*i(t) - 2*u(t)?\nAnswer: -8*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o + 3. Let i be c(3). Let w(d) = -2*d + 3. Let y(b) = 5*b - 8. Let z(k) = 11*w(k) + 4*y(k). Let x be z(3). Sort 4, i, x in increasing order.\nAnswer: x, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 4*z + 2548, -4*f - 36*z = -39*z - 2542. What is the remainder when f is divided by 313?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of 5*s**4\/2 + s**3 - s**2 - 4*s - 631. Let f(c) = 11*c**3 + 3*c**2 - 2*c - 3. Give 4*f(l) - 3*j(l).\nAnswer: 14*l**3 + 3*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1092 divided by 6.\nAnswer: -182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-4) + 3*(193\/12 - 12)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 12*v - 27760 = 0. What is v rounded to the nearest 100?\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1767, 7216, 16303, 29034, 45415?\nAnswer: 65452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -63*v**2 - 1000473*v + 1000536.\nAnswer: -3*(v - 1)*(21*v + 333512)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2200101222 + 10?\nAnswer: 2200102002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171)\/((-2*sqrt(3) - sqrt(3)) + sqrt(3)) + sqrt(57) + sqrt(57) + sqrt(114)\/sqrt(18))\/(sqrt(300) - (5*sqrt(300)*1 + sqrt(300))))**2.\nAnswer: 2299\/90000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 3*m = -7 - 2, -4*l = -2*m. What is the first derivative of -6 + i**2 + 0*i**2 + l + 0 wrt i?\nAnswer: 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 30\/25*5 - 5. Let x(n) = n - 8. Let z be x(12). Suppose -z = -2*l + l. Solve -5*c = 4*h - 3, -3*h + 3 = l*c + v for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -4\/7 (c) -19\/4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 324*l**3 + 5*l**2 + 22*l + 24. Is y(11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -6*i**2 - 4. Let a(p) = -p**2 - 1. Let h(t) = -4*a(t) + r(t). Let u(d) = -4*d**2. Calculate h(u(g)).\nAnswer: -32*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15.9 - -1.1. Let v = k - 28. Let i = 11.2 + v. Which is the second smallest value? (a) 0.4 (b) 0 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -0.2 (b) -2 (c) -142145 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 - 3*y + 26. What is the least common multiple of f(-6) and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.725 and 2?\nAnswer: 2.725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nqnn when four letters picked without replacement from {n: 4, q: 4, r: 6}.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/34 and 2\/138*((-20358)\/12)\/(-13)?\nAnswer: 782","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 2*f**2 - 1 - f**2 + (-4*f + 0*f + 2*f)*(0 + 0 - 2*f).\nAnswer: 5*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 5*d**2 + 4*d - 5. Let s be w(5). Let k = 76 - 56. What is the greatest common divisor of k and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 12 (b) 2\/11 (c) -0.03 (d) -25\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 19*z**2 + 42*z - 10. Is 3 a factor of o(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31 + -32. Let r = 0 - w. What is the remainder when 3 is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -20, -m - 3*b - 8 = 2. What is f in 1\/2 + 2*f**m - 2*f = 0?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j = -0*j + 280. Let p be j\/(-8) + 2 + (-9)\/6. Factor 1\/6*d - 1\/6*d**5 + 0 - 1\/3*d**p + 1\/3*d**2 + 0*d**3.\nAnswer: -d*(d - 1)*(d + 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -307 = 7*g - 419 for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a decade in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (91 - (-38820)\/(-420))\/((-5)\/98)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - 37*v**2 + 130*v + 52. Give w(33).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.47397417 rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 5*a - 46, r - 8*a = -7*a - 14. Let l be 6\/r*-2 - -33. Let f = l + -33. Calculate the greatest common factor of 1 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 608 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 8*d**2 - 2*d**2 + 0*d**2 - 118 + 105 - 9*d. Suppose 38 = 5*r - 17. Calculate the remainder when y(-2) is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21772 is divided by 67?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + q**2 + q - 1. Let u = -232 + 235. Let p(v) = -v**3 - 4*v**2 - 3*v + 3. Determine u*c(g) + p(g).\nAnswer: 2*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/13, 29\/2, -1?\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-6) + 136\/12. Let i(o) = 2*o**2 + 14*o - 16. Let u be i(-8). Suppose w = -u*w + 18. Calculate the highest common divisor of w and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*k**2 + 13*k - 13*k + (0*k + 2*k - 4*k)*(3*k + 2*k - 6*k) + k**2 - 14*k**2 - 47*k**2.\nAnswer: -75*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 437 - 428 = 3*t, -4*m - 5*m = -9*t + 45 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - 138\/(-21) - (-18)\/42. Let b(t) = t**3 - 7*t**2 - 7*t + 2. What is the tens digit of b(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w, 1 k, and 1 o when four letters picked without replacement from wownnkg?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1482142.51 to the nearest one hundred thousand.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -355*w + 737. Is y(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2632*a - 5152*a + 2575*a - 2530 for a.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1*24)\/((-2)\/4). Let z be 4998\/(-102) + -2 + 4. Is f at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -929*k**2 - 932*k**2 + 1860*k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*b**2 - 1712*b - 244.\nAnswer: -4*(b + 61)*(7*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -13865 divided by 5?\nAnswer: -2773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 + 302.684756?\nAnswer: 303.084756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 6 + 75*i - 75*i - i**2 + 3*i**3 in the form t*i + v*i**2 + n*i**3 + b and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 238 and 51.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, b: 12}. What is prob of sequence bbe?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -121 - -85. Let w(f) = 275*f + 4125. Let g be w(-15). Put g, 2, t, -4 in ascending order.\nAnswer: t, -4, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 10.98. Which is the nearest to -0.1? (a) -3\/2 (b) -4\/3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 9:20 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 1:00 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((i + 2*i**2 - i)*(1 - 2*i**2 - 1) + 2*i**4 - 6*i**4 + 3*i**4 - 130*i**2 - i**4 + 11*i + 53*i**2 + 78*i**2)*(0 + 0 - 2*i).\nAnswer: 12*i**5 - 2*i**3 - 22*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 3*d - 22 = 0, -2*n + 5 - 17 = -2*d for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1692\/7 - -242. Sort l, -4, -0.03.\nAnswer: -4, -0.03, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 107, 286, 779, 1742, 3331?\n\"Answer: 26*y**3 + y**2 - 6*y + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1574860513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 16 = 12. Let f be (1 - (b - -1))*41. What is the greatest common factor of 205 and f?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 4*s + 3*s)*(-10 + 0 - 16) + (4 - 4 + s)*(-1 - 2 - 1).\nAnswer: -134*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*a = -120*a - 380 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62, 100, 118, 110, 70, -8, -130, -302?\nAnswer: -530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2637, 4055, 5473, 6891, 8309?\nAnswer: 9727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 10:19 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50424891 is divided by 220196.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 23\/46*(-36)\/6*(-1)\/(-3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 0.4, 1.6, -0.1998?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -125, 2, -15, 5, -1 in ascending order.\nAnswer: -125, -15, -4, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 38*h**2 + 79*h - 36. Let f be d(-40). Does 14 divide (435\/(-30) + 1*f)*-10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -62, 548165 in ascending order.\nAnswer: -62, 3, 548165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 5*h + 100, -3*s + 2*h - 77 + 13 = 0. Let m = -0.14 - -13.24. Let c = m - 11.1. Which is bigger: c or s?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 168 - 168.1025. Round j to two decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 74318 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 5*n**2 + 71*n - 29. Let v(h) = h**2 + 18*h - 7. Let g(x) = -2*j(x) + 9*v(x). Let l be g(20). Let q be 1*(-6 - 2)\/2. Is q equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of 1\/3*w**3 - 1\/6*w**4 + 1\/60*w**5 - 12*w**2 + 0*w + 0. Calculate j(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 208 by 22.\nAnswer: 104\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-185 - m**2 + 185)*(2*m + 1 - 1) - 2*m**3 + 5*m**3 - 2*m**3.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*p = -159023 + 159953 for p.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 2 - ((2 + -10 - -3) + 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*81*10\/(-6). Let h = -4 - -1. Let w be (2\/(-6))\/(h\/a). What is the highest common factor of w and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.266 - -0.034. Let l = c + -1.3. Let t = -2.283 - -1.283. What is the second biggest value in -0.1, t, l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -44 (b) 0.4 (c) 4 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 3*h + 30*s - 28*s, -2*h - 5*s + 6 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*b**3 - 3*b**2 + 2*b + 25*b**3 + 4*b**2 to the form c*b + q*b**2 + d*b**3 + m and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 400, 407, 436, 499, 608, 775?\n\"Answer: 2*b**3 - b**2 - 4*b + 403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35199\/88010 + -1\/17602. Which is the third smallest value? (a) 0.5 (b) -2322 (c) -5 (d) i (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/642 and -77\/2?\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/13*w**3 + 11774\/13 + 10*w**2 + 2494\/13*w.\nAnswer: 2*(w + 7)*(w + 29)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 7:28 AM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 14*s**2 - 30*s + 33. Let w(l) = l**3 + 3*l**2 + 6*l - 6. Calculate 2*h(i) + 11*w(i).\nAnswer: 9*i**3 + 5*i**2 + 6*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 - 8*o - 9. Suppose 2*s - 1 = 3. Suppose 4*d - 32 - 100 = 0. Let a be s\/(-4) + d\/(-6). What is j(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-205)\/165)*3\/4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -62, -2, 2147, 4, -16 in decreasing order.\nAnswer: 2147, 4, 0, -2, -16, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (-10 - -5) - 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 times 5344\nAnswer: 53.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12481488449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 906?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -6*w + 54. Let u(p) = -2*p**2 - 17*p + 19. Let c be u(-9). Let x be j(c). Let q be x*1\/2 + 10. What is the highest common factor of q and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2 + 2 + 550*j - 547*j. Let c(q) = 388*q**2. Calculate c(d(y)).\nAnswer: 3492*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 275 a factor of 360733450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*b - 132 = -103*b. Suppose 2 = y - b. Which is smaller: y or 40?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2232302111 + 333?\nAnswer: 2232303110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y - 5 - 23*y**3 + 9 + y + 19*y**3.\nAnswer: -4*y**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1996308 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 230 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -12, -1, 1\/7, -0.2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-14)\/8 - (-2)\/(-8). Let k = 57338 - 57332. What is the remainder when (9 + 1)\/((-2)\/x) is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -102*m - 2548. Let u be s(-25). Solve -52*c + 51*c = -u for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 5*g**3 + 49*g**2 + 88*g + 120. Give p(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 2*o - 110, -4*n + 9*n + 4*o - 100 = 0. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 3*k - 3*x, 5*k + x = 3 - 8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 206 - 38 = 0. Let g = -44 - -47. Suppose -3*y + 12 + 34 = 2*f, -s = -3*y - g*f. Does 14 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of 9\/20*b**4 + 8\/3*b**3 + 26\/5*b**2 - 134 + 16\/5*b. Factor n(g).\nAnswer: (g + 2)**2*(9*g + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1804926.\nAnswer: 2, 3, 300821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34430958*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -994735, -1989473, -2984211, -3978949, -4973687, -5968425?\nAnswer: -6963163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -9\/310?\nAnswer: -9\/310","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwaawwwwwwwwwawwwww. Give prob of picking 4 w.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 774623 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-104)\/((-135)\/(58860\/(-1417))).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-4)*(-1364)\/(-1085)*7?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 9:11 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8157, -8158, -8159, -8160, -8161, -8162?\nAnswer: -8163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7406298 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 659 is divided by 333?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: b\"What is the sth term of -2622254, -2622243, -2622232?\n\"Answer: 11*s - 2622265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3393833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67817.74ug to kilograms.\nAnswer: 0.00006781774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f**4 - 2 + 2 - 6*f**4 + 2*f**2 - 2*f**2 + (5 - 5 - 2*f)*(2*f**3 + 0*f**3 - f**3) to s + t*f**3 + w*f + x*f**4 + a*f**2 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6*(1\/(-6))\/((-18)\/2520). Solve -c*t = -135*t - 30 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -735609 rounded to the nearest 10000?\nAnswer: -740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -7\/4*p**4 + 0*p**3 - 2*p - 1 + 0*p**2. Find the first derivative of q(u) wrt u.\nAnswer: -21*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1470 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/18 - 1\/(-3). Let t = -464\/11 + 42. Let l = 0 - 2. Which is the second biggest value? (a) z (b) l (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -57*x**3 + x. Let z be y(1). Let h = -113 - z. Let d = h + 88. What is the remainder when d is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 199955 (base 10) in base 6?\nAnswer: 4141415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*o**6 + 6*o**5 + 63*o**4 + 21029*o**2 wrt o?\nAnswer: -480*o**3 + 360*o**2 + 1512*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 36.2.\nAnswer: -72.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*w - 12. What is the common denominator of (-357)\/(-49) + (-9)\/(-21) and 229\/w + (-3)\/(-12)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 110 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -21*b**2 + 48*b - 7. Let u(z) = -17*z**2 + 49*z - 6. What is -4*l(o) + 5*u(o)?\nAnswer: -o**2 + 53*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130560.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 6:11 PM?\nAnswer: 161","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (83*p + 580*p - 944*p + 1428*p + 2419*p)*(-1 - 3*p + 1) to the form o*p + g + f*p**2 and give f.\nAnswer: -10698","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 380 divide 170240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16496.\nAnswer: 2, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 24509 = -f - 24530, -3*j - 32 = 4*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 50311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c + 2. Let n(d) = -2*d - 3. Let v(a) = -2*n(a) - 3*y(a). Let l be v(-1). Suppose 85*r - 52*r - 110*r = 316*r + 4323. Sort -3, l, r, 3.\nAnswer: r, -3, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 7*n + 20 = 4*n, -n = 1. Suppose x = 3*l - 46. Solve -c = -8*c - l for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 3*g - 3 = 0, -7*g - 20 = 4*u - 17*g for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 88019333*o**5 + 253406392*o.\nAnswer: 1760386660*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) 2 (c) -147 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-13844)\/(-8))\/((-2)\/(-20)). Suppose 4*b + 12016 = 4*a, -2*b - r = -5*a - 2297. What is a rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 2. Let k be (-16)\/6*1\/6. Let t = 3 + -2.8. Which is the biggest value? (a) k (b) t (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p - 7. Let f be a(-9). Let d = 0.01247 - 1.01247. What is the second smallest value in 1\/5, f, 1, d?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = t + 4*t - 20, 5*t = 4*g + 56. Let v(q) = 12*q - t*q - 5*q. Let w(m) = 64*m + 64*m - 126*m. Determine w(v(u)).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 2 = 2*q, d - 3074 = 8*q - 3117 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7008 + -6894.48. Let r = 110.69 - -2.31. Let y = r - v. Round y to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12244\/35 or -350?\nAnswer: -12244\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*1\/(-5)*20*22\/792.\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 2\/7 + 552\/28.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**2)**(-1\/21))**(-38) assuming f is positive.\nAnswer: f**(76\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/((-6)\/(-9))*2. Let u(s) = -t - 1 - 1 - s. Let n be u(-5). Which is greater: 2\/7 or n?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - 6*y - 6. Let l be g(-4). Suppose -455 = -l*m - 3*m. Let q be m - 0 - (0 + 1). Round q to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - -2.3.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*v**2 + 11*v**3 + 4 + 6*v**3 - 15*v**3 - 3*v**2 - 33*v**4 to c*v**3 + u*v**4 + m*v**2 + t + q*v and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.04, -17, -53, 0, 0.5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let b be 16\/(-140) + 2\/(-7). Let s be (-1 - 2)\/(24\/(-160) - 0). Let v be (12\/15)\/((-4)\/s). Sort b, 1, v in descending order.\nAnswer: 1, b, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 69339927 + 1.29.\nAnswer: 69339928.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 + -14. Let x = 6 + i. What are the prime factors of x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.242315 rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1142615471.\nAnswer: 421, 487, 5573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -15. Suppose 5 = -4*h - 4*d - d, r*d = -5. Suppose b - y - 8 = h, -5*b = 4*y + 5 - 0. Solve 2*f = -f - b for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*((sqrt(228) + -2*sqrt(228))*-3 + sqrt(228) + sqrt(228) - 1*(sqrt(228) + 1*sqrt(228))))\/(sqrt(132)\/sqrt(176) + 4*sqrt(48)))**2.\nAnswer: 2736\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 + 210*s**5 + 135*s**5 - 120*s**5)*(2 - 3 + 3) - 2*s**5 - 2*s**2 + 0*s**5 + 0*s**2.\nAnswer: 448*s**5 - 6*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + (-6)\/(-12))*-1. Let s(w) = -w**3 - w**2. Let z be s(1). Let j be z + (-3)\/(18\/(-4)). Which is the closest to u? (a) -2\/7 (b) -3\/8 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of -7803*s**4\/28 - 2397*s**3\/7 + 300*s**2\/7 - 12*s\/7 + 176. Find t such that w(t) = 0.\nAnswer: -1, 2\/51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k**4 - 680*k**3 - 2145*k**2 - 1900*k - 420 = 0. Calculate k.\nAnswer: -42, -2, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -3\/25 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -6*g**2 + 17*g**2 - g**2. Let c be (-5)\/2*4\/(-5). What are the prime factors of o(c)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**4\/5 - 2*v**3 + 28*v**2\/5 = 0.\nAnswer: -7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*j**4 + 169*j - j**5 - 12*j**3 + 16*j**2 - 153*j + 5*j**5.\nAnswer: 4*j*(j - 2)**2*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 + 17*w - 19. Let g be h(17). Let n = g - -23. Solve -3*s = -8 - n for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 695415737?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3*z + 2*z - 2*z)*(z - 3*z + 0*z) + 2*z**2 + 0*z**2 - 4*z**2 - 4*z**2 + z**2 + z**2)*(18*z - 5*z - 5*z) as m + b*z**3 + o*z + w*z**2 and give b.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1431 = 807*c - 19992 for c.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4482, -55427, -193696, -462951, -906854, -1569067, -2493252?\n\"Answer: -7277*n**3 - 6*n + 2801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -4. Suppose 5*w + 7*s = 2*s + 140, -3*w - g*s + 86 = 0. What is the smallest common multiple of w and (-1)\/((-1)\/12*2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 - 19*q + 29. Let x be l(16). Let s = 35 + x. Let y = 925 - 903. Calculate the smallest common multiple of y and s.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5974 - 133*q - 133*q - 144*q + 392*q.\nAnswer: -18*q + 5974","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9632\/10836 + (-469)\/(-9).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 98*j - 1342. Let w(d) = 13*d - 192. Calculate 2*l(t) - 15*w(t).\nAnswer: t + 196","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 28 + 31 = 0, -3*h + 4*x = 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -28092 - d + 28117 - 18*d**2 + 17*d**2. Determine h(0).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8995453211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1195?\nAnswer: 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6713, 13426, 20139, 26852?\nAnswer: 33565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 53*z - 5. Let i be d(-3). Let l be (-4 + i\/(-40))*-4. Let m be (-2)\/7 + 3\/(-14). What is the third smallest value in m, -4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 - 2*o**2 + 3*o**2 + (-5 + 2 + 1)*(-o**2 + 4*o**2 - o**2))*(-20*o + 34*o - 6*o + 1579 - 4*o).\nAnswer: -8*o**3 - 3158*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d*d**(-2))\/((d**(2\/9)\/d)\/d))\/(d*d*d*d**(-1\/4))**23)\/((d\/d**(-1))**40\/((d*d\/((d\/(d\/(d\/d**(1\/3))))\/d))\/d)**(-10)) assuming d is positive.\nAnswer: d**(-5573\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2028*q**2 + q - 31094. Let p(a) = -2*a. What is p(z(g))?\nAnswer: 4056*g**2 - 2*g + 62188","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16.93 - -17. Let c = 4.93 + y. What is the nearest to -2\/5 in c, 2\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 11) to base 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((0 + -3 + sqrt(432) - sqrt(528)\/((sqrt(110) + sqrt(110)*1)\/sqrt(10))) + 1)**2.\nAnswer: -1520 + 200*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 24*v - 18. Let s(l) be the third derivative of -l**5\/60 + l**3\/6 + 3*l**2. Let m(f) = n(f) + 2*s(f). What is the units digit of m(20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 146\/9, 0, 1\/2 in decreasing order.\nAnswer: 146\/9, 1\/2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -93*o. Let b = -239 - -241. Let r(w) = -w**2 - 5*w**2 + 0*w**b + 4*w**2. What is u(r(l))?\nAnswer: 186*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1010 (base 3) to base 13\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -134278 (base 9) to base 10\nAnswer: -81881","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 PM and 10:00 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of -z**7\/63 + 31*z**6\/180 - 11*z**5\/15 + 13*z**4\/9 - 8*z**3\/9 + 10*z**2 + 4*z. Factor l(t).\nAnswer: -2*(t - 2)**3*(5*t - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -3\/55, 0, -0.4 in ascending order.\nAnswer: -0.4, -3\/55, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1338.1 - -1338. What is the biggest value in h, -3, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + 1*(-3)\/(-3). Suppose 0 = -6*g + b*g + 15. Suppose 4 = -3*r + 4*r. Solve g*h = j + 8, j - r*j - 2 = -4*h for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 2*f = -488, r = 3*r - f - 188. Is r a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0 (b) -116\/9 (c) 0.03 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -4*w**3 + 3*w**2 - 2*w. Let s be f(1). Put 4, -8, s in decreasing order.\nAnswer: 4, s, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10266747?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83591?\nAnswer: 83591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(228)*-5 - -6*(sqrt(228) - sqrt(228)*3))\/(-3*(-3*sqrt(12)*2 - sqrt(48)\/(sqrt(16) + sqrt(4)))))**2.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 16*w**2 + 2*w - 49. Calculate the smallest common multiple of 76 and v(-7).\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 156676 and 96876.\nAnswer: 1196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, -1\/3, 0.709?\nAnswer: 0.709","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1682869 or 8?\nAnswer: 1682869","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 4 = -3*l. Suppose -4*k + 11 = 5*g, 2*g = -2*k + l + 2. Let s(o) = -5*o**g - 2*o - 23 + 22 + o. Determine s(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (112\/(-352))\/((-42)\/24). Which is the nearest to 428\/5? (a) m (b) 1\/9 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 256182262, 256182263, 256182266, 256182271?\nAnswer: 256182278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 332 (b) -1.9 (c) -0.06 (d) 0 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 0. Let f(q) = q**3 - 9*q**2 + q - 2. What is the lowest common multiple of o and f(9)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26530 and 130755758.\nAnswer: 5306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u + 18. Suppose -b - 7 + 27 = 0. Suppose f + 24 = p - 2*f, 5*p - b = -5*f. Let c be h(p). Solve -12 + c = -4*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-5))\/((-4)\/(-10))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and 613637949?\nAnswer: 613637949.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 2)*(31*j + 183 + 41*j - 70*j).\nAnswer: -2*j - 183","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -277*z + 1129. Let y be m(4). Solve -19*x + 3*f + 26 = -y*x, 3*x - 6 = 3*f for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1*(-3*sqrt(144))\/sqrt(8) + -1 + -1.\nAnswer: -9*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + 1 - 3) + 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 - 16.3. Let c = 4 - 4.8. Let a = j - c. Sort -5\/2, a, -0.3 in ascending order.\nAnswer: -5\/2, -0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 237826081, 475652167, 713478257, 951304351, 1189130449, 1426956551, 1664782657?\nAnswer: 1902608767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 111*j**3 - 15*j**2 + 15*j - 15. Let b(f) = f**3 - f**2 + f - 1. What is -15*b(q) + x(q)?\nAnswer: 96*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 + 0. Suppose 5*m = -2*f, 0 = -0*m + 5*m - f. Let i be (-3)\/(-2)*2\/(-3). Put u, m, i in descending order.\nAnswer: m, u, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(5\/6)*x**28*x**(-1\/18)*x**(-3\/7)*x*x assuming x is positive.\nAnswer: x**(1912\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.286289351 to 3 dps.\nAnswer: 0.286","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 13 (b) 7\/6 (c) 2 (d) 0.5 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -2.29529101\nAnswer: 1.147645505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 r when two letters picked without replacement from ummmrmmmmmmmrm?\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**2 + 2. Let o(g) = -19377*g + 5. Give w(o(l)).\nAnswer: 750936258*l**2 - 387540*l + 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 661 (base 7) to base 2\nAnswer: 101010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-6))\/((-2)\/(-3)*-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 10\/7 of a week?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1743 - 0.4.\nAnswer: -0.2257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9 + 13 + 32 + 1065*f**3 - 10948*f**3 + 90*f wrt f.\nAnswer: -59298*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*o + 11 = -9*o. Let r(z) = 9*z**3 + 59*z**3 + 35*z**3. What are the prime factors of r(o)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*(sqrt(198)\/(sqrt(11)*2) + sqrt(18)))\/(sqrt(108)\/(sqrt(12)*-2) + sqrt(9)*-2*4) + -3)*6 + -4)**2.\nAnswer: 1584*sqrt(2)\/17 + 142468\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 65155, 91, -4\/9, -1, 0 in decreasing order.\nAnswer: 65155, 91, 0, -4\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 498796.2 millilitres?\nAnswer: 498.7962","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 413748395.778491151271383 - 39.578491771271383. Let y = 413748390.2 - p. Let t = y + -34. Round t to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -18*v + 149. Let d be x(8). Let b(u) = 8*u**2 - 10*u**2 - u**2 + d*u**2. Let o(r) be the second derivative of -7*r**3\/3 + 2*r. What is o(b(c))?\nAnswer: -28*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zfzoffffkufffuurroou. What is prob of picking 1 o and 1 z?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -67 + 70. Suppose -p*t = 3*o - 21567, -o + 5*t + 5980 = -1197. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 662664 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/700*-14)\/((-46)\/5)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/53 + 175\/424. Suppose 5 = 3*p + y, 2*y - 1 = 9. Which is smaller: p or f?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 649 + 58?\nAnswer: 6a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 5*a + a = -30, 5*m - 83 = -2*a. Let o = 22 - m. Find the second derivative of -2*b - 52*b**o - 9*b + 34*b**5 wrt b.\nAnswer: -360*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (1 + sqrt(45) + 0 - (sqrt(45) - (sqrt(360) - sqrt(360)*1)\/sqrt(8)))**2)*4 + -1.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*j)*(3 + 5 - 2) + 149*j - 181*j - 379*j - 169*j.\nAnswer: -568*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1391.1657 seconds to minutes.\nAnswer: 23.186095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 846 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12\/20 - 102\/(-5)) + -1. Let b be -3*(-2)\/(24\/m) - 3. Solve n + 9 = -b*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -92\/51, 0, -409 in ascending order.\nAnswer: -409, -92\/51, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 180*(-38)\/228 + -19.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 197547699?\nAnswer: 3, 37, 1779709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 240\/70*154\/44.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0177 - 6.9823. What is the closest to q in 4, 1, -1\/25?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of 0*h + 0*h**3 + 1\/2*h**2 - 10 - 13\/5*h**5 + 0*h**4. Find the second derivative of l(c) wrt c.\nAnswer: -156*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 301 is divided by 28?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(3) + 0 + 5 + 5*sqrt(3)*1)**2.\nAnswer: 60*sqrt(3) + 133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(4\/5)\/h)\/(h*h**(-24)) assuming h is positive.\nAnswer: h**(114\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h**(-2))*h)**49)**(6\/11)\/(((h\/(h*h*h*h*h**(-1\/3))*h)\/h)**7*h**3\/h**3) assuming h is positive.\nAnswer: h**(3262\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*1*-6*-1)\/(6*2*sqrt(11)*5).\nAnswer: sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14\/(-2)*(-86 - -7).\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2722 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -688 - -684.17. Let v = f + -1.17. Which is the third smallest value? (a) v (b) -1\/10 (c) 2\/5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -892*z - 1848*z + 75583 = 201623 for z.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103064 + 139415 = 39*w + 84139. Is 29 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*(-1*4 + 2). Let g(o) = -13*o + 1. Let f be g(z). Let m = f - 33. Calculate the remainder when m is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 4. Let w = -22 + 46. Suppose 2*a - 3*i = -i + w, 4*a = t*i + 48. Is a a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42, -165, -358, -615, -930, -1297, -1710?\nAnswer: -2163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -7*t**2 - 2*t + 2. Let u be p(-2). Let f = 124 + -370\/3. Let l = -239 + 237. Which is the closest to u? (a) l (b) f (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -268*x - 173. Let t(l) = 157*l**2. What is b(t(j))?\nAnswer: -42076*j**2 - 173","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from ycmsciseyceimsmei?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 2 - (39 + -27) - -20 - 3) + 9.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 80102 and 2662.\nAnswer: 881122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13.75999 - 13.77. Let z = 0.01 + n. Round z to 6 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4347\/92)\/((-2)\/((-32)\/3)). Let b = v + -204. What is the greatest common divisor of 6 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 76 and 713545.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*x + 15*x + 7*x.\nAnswer: 12*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**12)**(2\/77) assuming f is positive.\nAnswer: f**(24\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 300 is divided by 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 1 + 5)*(3 - 1 + 0) + 1 + 0 - 3 - 1 - 1 - 2)*((0 - 3 + 2)*(-w + 2*w + 0*w) + w - 3*w + 4*w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.284603452 to 3 decimal places.\nAnswer: -0.285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -d + 167 + 331, 4*d = -3*b + 380. What are the prime factors of b?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*h + 97980 - 368835 = 0. What are the prime factors of h?\nAnswer: 13, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34504 - -7750. Does 19 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of -11*a**5\/20 - 2*a**2 + 4*a. What is the derivative of q(r) wrt r?\nAnswer: -33*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -122899\/20 - -6143. What is the common denominator of -77\/8 and r?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 8 = 0, 2*l - 2 = -2*k + 4. Let w(s) = -s. Let p(i) = -5*i**2 - 25*i + 5. Let o(f) = l*p(f) + 25*w(f). Differentiate o(t) wrt t.\nAnswer: 10*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 6247*f + 1230682. Give t(-197).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -16 - 2 - 335*z - 17 + 35 as q*z + c and give q.\nAnswer: -335","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 + 14*n - 14. Let a be w(11). Let b = -19 + a. Let z(g) = -g**2 + 29. What are the prime factors of z(b)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5926833 and 72.\nAnswer: 426731976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 31099 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of 1\/3*x**3 - 3 + 3\/8*x**4 + 0*x + 0*x**2. Factor n(a).\nAnswer: a**2*(3*a + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of v**6\/40 + 73*v**5\/40 + 53*v**4\/8 + 35*v**3\/4 - 2*v**2 - 353*v. Let u(p) = 0. Calculate p.\nAnswer: -35, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k + 10. Let d be j(8). Suppose -2*m + 125 = -r, -r - d*r = 4*m - 255. Calculate the highest common divisor of m and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -79, -2\/25, -17, 0.4, -1.\nAnswer: -79, -17, -1, -2\/25, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1513 + 2367. Is 14 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus -9184436049362?\nAnswer: 9184436049364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 817, 808, 803, 808, 829?\n\"Answer: t**3 - 4*t**2 - 4*t + 824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2672*u - 72126. What is n(-27)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/6 - (-6 + 20\/3). Let c be 0\/(n\/(-3) - -2). Solve 6 = -3*b - c for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 180379326?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 2*d = -d + 8, 3*v - 3*d + 3 = 0. Which is smaller: v or 78?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26804 + -80413\/3. Which is the closest to 0.2? (a) 13 (b) r (c) 0.2 (d) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.843843 kilometers in millimeters?\nAnswer: 3843843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 PM and 8:47 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153)*1 - sqrt(153))\/sqrt(9))**2*-3 + (sqrt(153)*1)\/sqrt(9) + (sqrt(17) + sqrt(17)*-2)*4.\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 731 + -210. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 4*x - 21 = 0, -v - 3*x - 1 = -3. Let o(q) = -4*q + 5*q - 3 + 8*q - q**2. Let k be o(8). Solve v*b - 4*b + k = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7777499 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-9))\/(h\/((h**6*h)\/h)))**(-19)*h*h\/(h\/(h**5\/h))*h*h*h*h\/(h\/h**(6\/5)*h)*h\/(h**(1\/5)*h)*h**0 assuming h is positive.\nAnswer: h**65","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.17, 0.1, -2, 15106?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.68 + -1.9. Let u = f - 0.08. Suppose 4*c = o - 6, 0 = o + 3*c + 1. What is the third biggest value in o, 3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 99*w - 1537. Give p(55).\nAnswer: 883","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of u**5\/2 + u**4 - 9*u**2. Find the second derivative of r(x) wrt x.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 10:36 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 12:56 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 602.\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7989, 10687, 13373, 16047, 18709?\n\"Answer: -6*r**2 + 2716*r + 5279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -g, 3*y + 3*g = 15. Suppose 0 = -0*x - y*x + 70. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -14\/169?\nAnswer: -14\/169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9590496.934 take away -0.29?\nAnswer: 9590497.224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 572 and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 6*s**2 - 49*s - 63. Let x be b(-10). Let k = 4 - -2. List the prime factors of (x\/5)\/(k\/(35 + -5)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3377)\/111441*(-1254)\/2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h + 7*h = -2268. What are the prime factors of h?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 80 and 9160.\nAnswer: 18320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -672820400 and -0.64.\nAnswer: -672820400.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is -2546691291 take away -6081?\nAnswer: -2546685210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 9*r + 8. Let b be j(8). Suppose b = 5*l - 11 - 4. Suppose -f + 116 = -5*h - 230, l*f - 5*h - 1038 = 0. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 7*j**2 - 3*j + 6. Let g be q(7). Suppose 7 = h + 32. Let s = g - h. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k + 10*k - 15*k + 3*k + 2*k. Let u(s) = -s. Suppose -3 = 3*w + 3. Give w*u(r) - x(r).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 30 = 10 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 207*d**2 + 11320*d - 5037. Give i(-252).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**3\/7 - 1324*q**2\/7 - 114048*q\/7 - 104976.\nAnswer: -4*(q + 7)*(q + 162)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -90 and -12834.\nAnswer: -12924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 8*d = 3*d - 27, 2*v - 3*d - 13 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*v + 50. Let y be ((-6)\/v*-3)\/(1\/4). Let g = -6 + 3. Which is the third biggest value? (a) g (b) 3\/8 (c) -5 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 549*o = -17946 + 1255 - 28327 for o.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.49 * -1009155\nAnswer: 494485.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4\/203, -2, 2\/11, 2\/7, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1636 + 65*s + 1636)*(1 + 3 - 1).\nAnswer: 195*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = n + 14, -6*n = p - n - 10. Calculate the least common multiple of 11 and p.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.625 take away 4?\nAnswer: -4.625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 517, 4314, 14627, 34714, 67833, 117242?\n\"Answer: 543*n**3 - 4*n - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4 - 89*l**3 - 2952*l**2 - 43200*l - 235008.\nAnswer: -(l + 17)*(l + 24)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 18 (b) -22186 (c) -7 (d) -0.5 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 2080\/9 and 231 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 13\/(-5) + -7 + (-266)\/(-35). What is the biggest value in -1\/4, -2\/9, g, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29043*k**4 + 4796*k - 2 wrt k.\nAnswer: -348516*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -349 + 370. Let d(q) = 16*q - q - 6 - m*q - 2*q**2. Let o(b) = -2*b**2 - 5*b - 5. Let l = 22 + -16. Determine l*o(h) - 5*d(h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4540665*m**2 - m - 36390.\nAnswer: -9081330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 62752087 to the power of 1\/3, to the nearest integer?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 138387877 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-18)\/(-4))\/((-6)\/(-27)) - 5)\/((-361)\/1444)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -23*d**2 + 13912725*d - 1209802 = 0.\nAnswer: 2\/23, 604901","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5996 by -2.\nAnswer: 2998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of 6131*q**5\/5 - 3931*q**2\/2 - 622. Find the second derivative of z(h) wrt h.\nAnswer: 73572*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 222 = 38. Let n = a + -24. Is n a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 - 6*l + 101. Give c(6).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11 and 0.0161?\nAnswer: 0.1771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*g - 1 + 1)*(0*g - 2*g + 3*g) + 184*g**2 + 164*g**2 - 73*g**2 + (g + 1 - 1)*(g - 1 + 1) - 3*g**2 + 64*g**2 - g**2 as x + z*g**2 + d*g and give z.\nAnswer: 338","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-221)\/13 - -12)\/(3\/(-15)). Solve 0 = 21*c + j + 17 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -3*u + 703, -5*q + 507 = 5*u - 378. Suppose 22 = -2*r + 4*m, -4*r - 6 = -8*r - 2*m. Let v = q + r. Is 19 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + 10*t + 26. Let d(q) = q**2 - 9*q + 12. Let g be d(9). Let v be u(g). Suppose -169 = -v*j + 13. List the prime factors of j.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 8:40 AM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*s = -14*s - 16. Let i(a) be the second derivative of 3*a + 0 + 5\/6*a**3 + 1\/2*a**s + 1\/20*a**5 + a**2. Give i(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 834890, 834616, 834340, 834062, 833782, 833500?\n\"Answer: -n**2 - 271*n + 835162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 0 - 203) + -2. Let x = 541 + k. List the prime factors of x.\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = -4*v + 25, 3*v = -3*n + 16 + 2 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2142 (base 5) to base 14.\nAnswer: -173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -16 + -29675?\nAnswer: -29691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 2*v - 12, -5*v + w + 12 = -18. Suppose 3*o = v*o + 2*q - 4, 0 = -o + q + 8. Sort o, -3, -5 in increasing order.\nAnswer: -5, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 435\/(-174)*(1 + 38\/(-10)). Suppose 0 = -3*o + 9, 2*s - o - 134 = 17. What is the highest common factor of n and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 122, 1019, 1928, 2855, 3806, 4787, 5804?\n\"Answer: y**3 + 890*y - 769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 73*p - 229*p - 468 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 2401?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1)**(21\/2) assuming g is positive.\nAnswer: g**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 18*v**3 + 24*v**3 - 86*v**2 + 0 + 1 + 37*v**2 + 44*v**2.\nAnswer: 6*v**3 - 5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 + c. Suppose 5*m - 3*n + 5*n = 3, 2*m + 2*n = 0. Let z(k) = -k**2 - k. Determine m*d(x) + 2*z(x).\nAnswer: -3*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 704429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 6 - m**3 + 11*m**2 + 3 - 25 + 9 - 15*m + 4. What is the tens digit of l(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -6, 5, 3, -4.\nAnswer: -7, -6, -4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -4*k + 132, 0*q + 115 = 5*q - 5*k. Let d = 91 + -63. Suppose 6*i - d = -i. Solve q = 4*v + 4*x, 6*v = v + i*x + 8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 2:06 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h. Let j(t) = 4239*t + 81. Let m(g) = 106*g + 2. Let q(v) = -2*j(v) + 81*m(v). What is q(w(n))?\nAnswer: -216*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*j + 50791 = 1406*j + 420*j + 6923 for j.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12587, 12600, 12621, 12650?\nAnswer: 12687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 246, 2110, 3976, 5844?\nAnswer: 7714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3*h = -f - 21, 5*f = -3*h - 27. Is (-220)\/(-2)*3\/(-18)*f a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(2\/7))**4\/((y*y**1)\/(y\/((y*y\/(((y**(-7)\/y*y)\/y)\/y)*y)\/y*y))) assuming y is positive.\nAnswer: y**(-71\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 times -0.52116?\nAnswer: -7.8174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 + -15. Suppose 47 = b*d - f, -d + 3*f = -5 - 6. Calculate the greatest common factor of 13 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 278 + -277.098. Let d = p - -0.098. Let a be (-34)\/(-78) - (-4)\/(-6). Which is smaller: a or d?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2*o = -8, 0*o = 2*j - 5*o + 1. Solve j*w = i - 5, -3*w + 0*w = -i + 9 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.05*1720\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 3:11 AM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 0, 10, -33, -1, -47, 13\/3 in increasing order.\nAnswer: -47, -33, -1, 0, 0.5, 13\/3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express j**4 + 12*j - 13*j - 4 + 17*j**4 + 2*j**2 + 2 as o + w*j + p*j**2 + r*j**4 + u*j**3 and give r.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -79274*h**2 + 156671*h.\nAnswer: -158548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111 = 69*t - 249 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 9\/2*54\/162\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43296.\nAnswer: 2, 3, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 178 or 180?\nAnswer: 178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of b**5\/60 - 2*b**2. Let d(c) = -7*c**2 - c**2 + 6*c**2. What is n(d(a))?\nAnswer: 4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/j**(-18))\/j**22*(j\/(j\/(j\/((j**(-9)*j)\/j)))*j)**38 assuming j is positive.\nAnswer: j**416","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -485 - -209.8. Let w = n - -275. Which is the closest to -0.1? (a) 5 (b) -1\/3 (c) w (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -397 - -402. Let j(x) = -x + 1. Let w(b) = 3*b - 10. Let m(z) = 4*j(z) + w(z). Let y be m(-8). Solve -3*g + 2*l - f = 0, -y*g + 9 = -7*g + 4*l for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*x + 23*x = 0. Suppose 24 = -3*q + 3*s, 3*s - 4*s + 3 = x. Sort -4, q, -1 in increasing order.\nAnswer: q, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 174.42342 rounded to the nearest ten?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of r**3\/3 + 305. Calculate w(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 758 is divided by 210?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 17 = -2*b, -25017*b - 3 = -25015*b - 0*h - h for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 378 and 441.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 115*y**3 - 4770*y**2 - 327600*y.\nAnswer: 5*y*(y - 78)*(23*y + 840)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 - 13*a + 41. What is g(10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5728478 is divided by 698?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-152)\/(-10) + (-21)\/(-7)*(-196)\/42?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 4*c**2 - 2*c + 2. Suppose 0 = -r - 6 + 1. Let f = r - -7. Give v(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -48395b (base 12) to base 5.\nAnswer: -244332032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1136 + -1029. Calculate the remainder when j is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 182\/(-52) - 9\/(-6). What is the nearest to -2\/7 in -3, 0.5, 3, v?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**2\/7 - 1694228584*u\/7 - 179400655927665316\/7.\nAnswer: -4*(u + 211778573)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -7*o**3 + 6*o**2 - 9*o - 5. Let s(k) = -11*k**3 + 10*k**2 - 14*k - 8. Suppose -8*q = 29 - 93. Let u(j) = q*v(j) - 5*s(j). Calculate u(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 271081\/83128037 - 5\/43591. Which is bigger: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**4 + 202*i**3 + 18100*i**2 + 69944*i + 69120 = 0.\nAnswer: -64, -2, 270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 3 - 7. Suppose -2*s = w*s + 104. Let u = s + 30. Solve 3*b = 5*t - 6 + 2, 0 = 3*b + u*t + 13 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -3*u**5\/8 - 189*u**4\/4 + 807*u**3\/8 + 2511*u**2\/4 + 480*u = 0.\nAnswer: -128, -2, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -118 divided by 83.\nAnswer: -118\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-4)*(-98)\/(-343)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4981010975?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 61 + -2046?\nAnswer: -1875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 15*d - 184. Let f be a(18). Suppose -48 = -90*b + f*b. Solve 2*p + 2*p = -b for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u**2 + 399*u - 2186. Calculate the remainder when y(159) is divided by 115.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 4.738288ng?\nAnswer: 0.000000000004738288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000169 rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - 4.36?\nAnswer: -3.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 173533190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 + 2*i - 2)*(-6*i**3 + i**3 + i**3).\nAnswer: -8*i**4 - 4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1268*q - 3033 = 931*q. Calculate the lowest common multiple of 675 and q.\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 777 divide 9668988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - (15\/3 + -3). Let p = 11 - n. Suppose 3*o + j - 40 = 0, 0*o + 76 = 5*o + 4*j. Calculate the smallest common multiple of o and p.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2128706 and 816.\nAnswer: 51088944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5*g - 7*g + 1286 = 0, -3*i + 2*g + 1306 = 0. What is the highest common divisor of i and 960?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 259? (a) -4 (b) -1\/3 (c) -3353\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13939 - 13656. Which is the closest to r? (a) 2\/21 (b) 3 (c) -0.4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (0 - (0 + -5))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, 77, 33, 5, -88 in descending order.\nAnswer: 77, 33, 30, 5, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of x**6\/300 + x**5\/25 - 3*x**4\/20 - 14*x**3\/15 - 2062*x**2. Let w(b) = 0. What is b?\nAnswer: -7, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-1*-4*sqrt(500) + sqrt(500) - -6*sqrt(500)*1)*-6 + -5)**2.\nAnswer: 10560*sqrt(5) + 2178064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -61310715?\nAnswer: -2\/61310715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 + 5*s + 2. Let q be (0 - 3\/6)*2. Let j(d) = -d. Give q*p(f) - 5*j(f).\nAnswer: -f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -174696, -698796, -1572296, -2795196, -4367496, -6289196, -8560296?\n\"Answer: -174700*c**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4932 to the power of 1\/2, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1459 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -6167604?\nAnswer: -1\/1027934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -593, -1185, -1777, -2369, -2961?\nAnswer: -3553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l = 8*l. Suppose -16*f + 23*f - 539 = l. Calculate the greatest common factor of f and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21853529 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 3:24 PM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 4\/7*t**3 - 6\/7*t**2 + 0 + 2\/7*t = 0. What is t?\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5052554?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5d (base 16) to base 12\nAnswer: -79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 8:47 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 PM and 11:20 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27 - 18. Suppose -57 + x = -w. What is the greatest common divisor of 120 and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 23 = 17. Suppose -2*p - 6 = -4*g, 5*p + 0*g = m*g - 7. Put 1, p, -2 in increasing order.\nAnswer: -2, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1408929 to the nearest integer?\nAnswer: 1187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q - 2*q + 233*q**3 + 2*q.\nAnswer: 233*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of i**8\/336 - i**4\/6 - i**3 - 4*i**2. Let m(l) be the first derivative of b(l). Find the first derivative of m(n) wrt n.\nAnswer: 20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 508148359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (90\/(-72))\/(((-2)\/8)\/1). Solve 3*a + n - 18 = 0, 16 + 12 = d*a + n for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13527.8 - 13528. Suppose -18 = 2*l + l. Let n = -0.6 - -0.7. Which is the nearest to n? (a) -0.3 (b) l (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 1 = 4*d - 5*l, -1 = d - 2*l. Suppose 5 + d = -2*s. Let v be ((-6)\/8)\/((-9)\/s). Which is the smallest value? (a) 1\/4 (b) v (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**3 + q**3 - 4*q**3)*(0*q + 7*q - q) - 2*q**4 + 0*q**4 + 5*q**4 + (87 - 31 + 26)*(q + 2*q**3 - 5*q**3 + 2*q**4 + q**3).\nAnswer: 155*q**4 - 164*q**3 + 82*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, i: 2}. What is prob of sequence iia?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4844.725 + 4846.1250108. Let o = c + -1.4. Round o to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -55, -2, 5 in increasing order.\nAnswer: -55, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -17*u**2. Let q(r) be the first derivative of r**3 + 14. Determine l(q(c)).\nAnswer: -153*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -o - 2*o. Suppose -g + o = g. Suppose -2*f + 3 = -1. Solve f*h + 3 = g for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4555?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 + 1. Let d(o) = 2*o**2 + o - 1. Let w(c) = 2*d(c) + 5*i(c). Suppose 0 = -2*q + 8. Suppose 3*m - q*m + 3 = 0. Give w(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f\/f**(-1\/13)*f)*f*f))\/(f\/f**(45\/2)*f*f*f) assuming f is positive.\nAnswer: f**(483\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 - 16*x - 13. Let p be v(-15). What is the highest common divisor of p and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 + 9*v**2 + 8*v - 12. Determine n(-8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2215029 is divided by 488?\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110011 + -11001011111100001101001?\nAnswer: -11001011111100010011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*v - 2*v - v - 8*v + 2*v - 4151 to t*v + b and give b.\nAnswer: -4151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 + 4 + -5 - (51 + -59)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 292*c**3*x**4 - 81*c**3 - 4*x**4 - 16*x wrt x.\nAnswer: 3504*c**3*x**2 - 48*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -15*b - 13. Let c(f) be the second derivative of -7*f**3\/6 - 3*f**2 - 2*f. Let t(z) = -5*c(z) + 2*v(z). What is the first derivative of t(h) wrt h?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190 is divided by 69?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 409 + -404. Suppose 0 = 6*u - u. Suppose o - 2*t + 5 = 2, -3*t + 12 = u. Does o = c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i + 3 - 23 - 5 to the form f + x*i and give f.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -44 (b) -4\/3 (c) -150 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4083620 is divided by 34.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 728 by -50.\nAnswer: -364\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -12 - q - 1 + 2*q**2 + 2 + q**3 + 5. Let n be f(-3). Let x be ((-1)\/3)\/(1\/n). What is the second smallest value in x, -9, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + 5*t**2 - 6*t + 2. Let j be m(-6). Let z(d) = -10*d + 50. Let n be z(5). Suppose 7*v + 12*v - 38 = n. Solve s - j*s + v = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 3*h - d - 55, -85 = -5*h - 5*d. Let k = 90 - 47. Let p = k - h. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 63630452 to the nearest integer?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 + 30.3. Which is the closest to 0? (a) 169 (b) -4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -108820901, -217641787, -326462673, -435283559, -544104445, -652925331?\nAnswer: -761746217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 2*v**2 + 41022*v + 11 + 10 - 3*v**2 - 41023*v. Determine i(0).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6657033ml to litres.\nAnswer: 0.0006657033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 16*i**2 - 303*i + 4602. Calculate c(14).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 5*j**3 - 2*j**2 + 0*j**2 - 4*j**3 - 2. Let p be 44\/14 - (-64)\/(-56). Let g(w) = -3*w**3 + 5*w**2 + 5. Determine p*g(r) + 5*s(r).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -t**2 + 21. Let z(u) be the first derivative of -u**3\/3 + 12*u - 50. What is l(z(s))?\nAnswer: 2*s**2 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -3\/4. Which is the fourth biggest value? (a) x (b) -2 (c) -3\/5 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = -9*j - 2*i + 1770, 4*i + 3564 = 4*j. What is the hundreds digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 641197951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1386 a factor of 34052634?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {l: 1, k: 11}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 + -100. Calculate the common denominator of g\/(-6)*1\/3 and -79\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of z**5 + 928995*z**2 + 13968*z + 64?\nAnswer: 20*z**3 + 1857990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/7 + 1684*o\/7 + 575766\/7.\nAnswer: -2*(o - 1103)*(o + 261)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -1 (b) 0.5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5072 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -34, -65, -128, -229?\nAnswer: -374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2677140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -475485.89 and 0.1.\nAnswer: -475485.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001932 to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -5*z - 18, -51 + 54 = 3*z - 4*q. What is the nearest to -8 in 0.2, -3\/2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 463, -4, -2, 5, -1.\nAnswer: -4, -3, -2, -1, 5, 463","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g. Let k = 60 - 132. Let r = 74 + k. Let t(j) = 4*j**2 + 20*j**r + 3*j**2. Determine t(u(i)).\nAnswer: 27*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s**3 + s**2 - 4*s - 3. Let z be t(-2). Let g(d) = 5 + 6 - 2 + d. Let h be g(z). Solve l + l = 0, -h*l - 15 = -3*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -7*d**2 + 4. Let b be s(-2). Let x = 32 + b. Differentiate 287*w - x*w**4 - 287*w + 5 with respect to w.\nAnswer: -32*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 592 + -592.5. What is the third biggest value in -52, x, -2\/21?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 17*r**2 - 2. Let i(l) = 7*l**2. What is i(f(w))?\nAnswer: 2023*w**4 - 476*w**2 + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 9.236028 micrometers?\nAnswer: 9236.028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.2 - 0.5. What is p rounded to 0 decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -7. Let q = -1 - 0. Let y = 11405.2 - 11405. What is the closest to y in q, 2\/15, m?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = q - 20, -3*y + 5*y = 5*q + 10. Let c(w) be the first derivative of 2*w - w**2 - 3 + 0*w + y. Differentiate c(g) with respect to g.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1))**(-8\/13)\/(p**(-1\/2)\/(p*p\/(p\/(p*p\/((p**(-4\/3)\/p)\/p)*p*p))*p)) assuming p is positive.\nAnswer: p**(815\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 284279797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -285 + 265 = 5*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + 127*u + 4031. Let p be t(-61). Let c = 9 + -5. Solve -c*g = -p*x + 3*x + 2, g - 2 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5348512?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - 16. Let f = 14 - 18. Which is the closest to q? (a) -2\/11 (b) f (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(-1*(sqrt(27) + sqrt(3)))*1 + 0.\nAnswer: -sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1941 - 100.6?\nAnswer: -2041.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17899\/4 < 4476?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 - 250 + 252 + 3*d**2)*(-69*d**3 + 40*d**3 + 32*d**3).\nAnswer: 6*d**5 + 6*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - 6*f. Let r be m(-6). Suppose 2*x - 3*x = r, -2*x + 6 = 3*i. What is the second derivative of -2*p**3 + 3*p - 5*p**i + 5*p**2 wrt p?\nAnswer: -12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 3*c + 34418, 3552 = n + 4*c + 12163. Round n to the nearest one hundred.\nAnswer: -8600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 11, -0.3, -3, 1 in increasing order.\nAnswer: -10, -3, -0.3, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 5:30 AM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 37*f. Let t(w) be the first derivative of -3*w**2 - 252. Calculate z(t(i)).\nAnswer: -222*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4049451 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 6 - 26 = 0. Find the common denominator of -5\/4 and g - (625\/30)\/(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/37144 and -19\/260008.\nAnswer: 260008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 + 6*p**2 - 15*p + 10. Let x be s(-7). Let h = x - 35. Let r = h - 4. Is 9 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -0*f - 12. Let y = -4 + f. Suppose 7*i = y*i + 10. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 0*s + 0*s)*(40 - 972*s - 38 + 287*s).\nAnswer: 685*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -13\/230956 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 14 = -26370*s + 26368*s, 0 = s - 3 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -3\/14 (c) 0.5 (d) -1047 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-15)*20\/(-20).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 6. Differentiate 3*k - 2 - 3*k - x*k + k with respect to k.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -789276.7 plus -2944.7?\nAnswer: -792221.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/2, 2.4, 2\/73, 14?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -47 + 32. Let p be u\/(-4) + 3\/12. Let r(z) = z + 3. Let o be r(-3). Solve -p*j + 8 - 24 = o, -6 = 2*t - j for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + 2*p + (-1 - 1 + 0 + 9 - 19 - 14 - 1 + 5 - 2 + (-4 + 2 + 0)*(3 - 1 - 3))*(p + p - 3*p).\nAnswer: 24*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-12))\/(10\/(-6)). Which is the closest to 0.7? (a) f (b) -3 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -437*r**2 + 345*r**2 + 1 + 3 - 3.\nAnswer: -92*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55580.98kg to nanograms.\nAnswer: 55580980000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 82 = -34*f, 21*u - 17*u = -3*f + 29 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-600)\/(-140))\/30)\/((-6)\/(-28)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4051225 - -4?\nAnswer: 4051232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 320 a factor of 458240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 56 - 51. Suppose r*v + 18 = -3*c + 81, 43 = 4*v - 5*c. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 166*d**2*i**5 - 2*d**2*i - d**2 + d*i**5 + 68*i wrt i.\nAnswer: 3320*d**2*i**3 + 20*d*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.754898841 and -29.\nAnswer: -26.245101159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12877914?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 5*m - 65 = r, 3*m = 15. Suppose p + 2*o = 24, 3*o = 3*p + o - r. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7782 + -7724. Calculate the remainder when 985 is divided by c.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-4) - ((-44933)\/28)\/49.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 - t + 2. Let h be o(0). Let p(i) = 4*i**2 - 5*i**2 - i - 4*i**h. Let l = -17 - -18. Determine p(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*o)*(-2*o - 209 + 4*o - 100).\nAnswer: 4*o**2 - 618*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 1950000*p. Suppose -2 = -j, 4*k + 18 = -k - j. Let g be f(k). Round g to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 0*x - 15 = -x, 5*r = -5*x - 25. Let d = -453 + 452.9987. Let t = -1.0013 - d. Sort t, -1\/4, r, 4.\nAnswer: r, t, -1\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/23)\/x)\/x**(1\/4) assuming x is positive.\nAnswer: x**(-107\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-100)\/(-30)*-36*7\/(-70).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 45\/864*24*(-18)\/195\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v**2 + v**2 - v**2.\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 6*l. Let c(u) = 42*u - 1. Give c(o(j)).\nAnswer: 252*j - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1218987 and 693?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of 7*u**6\/60 - u**5\/20 + u**3\/2 - 15*u**2 + 14*u. Let h(f) = -70*f**3 + 14*f**2 - 14. What is 3*h(m) + 14*l(m)?\nAnswer: -14*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1101520 and 428?\nAnswer: 117862640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 8197*j - 10918409. What is u(1332)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5480898, -10961796, -16442694, -21923592, -27404490?\nAnswer: -32885388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g - 8. Give u(-6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/62 + (-2562)\/651.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -172 at most -171?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/(-9))\/((-1)\/(-3)). Let h(u) = f - 2*u - 1. Let o(i) = -3*i. Determine o(h(q)).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5915.\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.418 - 0.4179756. Round x to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in eleven eighths of a micrometer?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -269 or -271?\nAnswer: -269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (749\/(-214))\/((-21)\/174).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 381398?\nAnswer: 2, 190699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18428678057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1266 divided by 5?\nAnswer: 1266\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*n, -3*p = -4*n + 2 - 7. Solve 6*b = 2*b + 5*a + p, 10 = b - 4*a for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 + 7*v - 7. Let l be f(5). Find the second derivative of h**l + 2*h**3 + 2*h - h**3 wrt h.\nAnswer: 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/6 - 0)*-15 + 2440. Let o = x - -2786. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, 36, -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -4. Let v(y) = -2499*y + 2. Let x be v(-2). Suppose x = -3*c + n*c. What is c rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - f**2 + 2*f. Let u be b(2). Let p = -5 + u. Suppose -2*q = 2*l - l - 23, p*l - 67 = -5*q. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -5. Solve 13 = -3*g - a*f, 3*g + 5*f + 15 = -13 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 10:17 AM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -305807 by 746.\nAnswer: -305807\/746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59\/182 - 1\/26. Suppose -l - 4 = -0*i - 2*i, -4*l + 5*i - 13 = 0. Let b be 1\/(1*l\/(-4)). What is the second biggest value in s, b, -1\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 56 and -0.57965.\nAnswer: -32.4604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 2*a + 2*j - 31, 4*j = -12. Suppose -16 = -3*i - q, -3 = -i - 2*q + 4. Calculate the remainder when a is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38.99999843 - 39. Round s to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50)\/(-1*sqrt(10)) + (2*sqrt(15)\/sqrt(3) - sqrt(5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 1 (c) 0 (d) -7.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -6. Suppose 0 = 6*o - 14*o + 32. Let j = 28 - 25. Sort j, u, o.\nAnswer: u, j, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 0)*(-9*s - 8*s + 14*s).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = k - 7, u - 4*k = -9 - 10 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.97 - 6.97. Sort 3, -3, -99, x in decreasing order.\nAnswer: 3, -3, x, -99","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8525 + 8558. Solve -s*x = 50*x + 581 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3349 = -26*a - 171*a. Sort a, -3\/7, -0.3, -9 in ascending order.\nAnswer: -9, -3\/7, -0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 2*r**2 + 2*r)*(-r**3 + 4*r - 4*r) + (r**3 - r**3 + 2*r**3)*(-126 + 28*r**2 + 126).\nAnswer: 54*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2b912 (base 14) to base 4\nAnswer: 122203330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1475939693 less than 24.1?\nAnswer: 1475939717.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y**2 - 5*y - 9. Let b be x(5). Let d be (-2)\/(-7) - b\/49. Solve -d*m = -2*p + 12, 0 = m + 1 + 3 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 46018055 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.2 + -33.2. Let g = q - -27.5. What is the closest to 3 in 5, -3\/4, g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (40*381\/2540)\/(14\/(-5))?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 6:17 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 170\/45 + -4 - 40\/(-18). Suppose 5*r = u*r + 2*r. Is -447*(r - (-2 - -3)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -528*m + 524*m + 21428, 4*k - 16 = 0. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -17 (c) -3\/4 (d) -494\/15 (e) -0.5 (f) 12\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 44559 + -44558.00006. Let s = -1 + u. What is s rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -8. Let o = -0.02 + 0.02. Let x = 1179 + -1182. Which is the smallest value? (a) o (b) x (c) -0.3 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/341, -0.6, -4 in descending order.\nAnswer: 2\/341, -0.6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ebb when three letters picked without replacement from ebeeeeeeeeebe?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-6))\/((-2)\/3). Let l(o) = 2*o - 3. Let s be l(3). Let x be 3*s\/(-18)*1. Which is the second biggest value? (a) x (b) z (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36910 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z + 853 = 4080. What is the hundreds digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 35*y**2 + 6*y + 6. Let i(r) = -r - 17. Let k be i(-10). Let l be b(k). Suppose -l = 2*t + 101. Round t to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 9*u + 11. Let d be 644\/98 + 72\/21 + -4. Let q(y) = 5*y + 6. Let g(a) = d*j(a) - 11*q(a). Let m(w) = 53*w**2. Determine m(g(o)).\nAnswer: 53*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(8\/(-1))*2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3619?\nAnswer: 7, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 166 + 566. Let d = 221 + -40. Let i = j - d. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 182.7616 kilograms to grams.\nAnswer: 182761.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g**4*x - 1064*g**3*x + 213*g**2*x + x wrt g?\nAnswer: 48*g*x - 6384*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-24)\/(-5))\/((-18)\/(-225)). Let y = -60 + l. Solve b + 5*i - 11 = y, i + 3 = -2*b - 2 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8920152 microseconds in hours?\nAnswer: 0.000000000247782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(180) + -4 - (sqrt(180) - (sqrt(180) - (sqrt(180) + 0))*3))*-2)**2 + 1.\nAnswer: -192*sqrt(5) + 785","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -48 - -54. Suppose -9*m = -o*m - 183. Suppose -2*x + 61 = -m. Calculate the remainder when x is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -308*o**3 + 2*o**3 + 1887*o**3.\nAnswer: 1581*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1897 - 1102. Is u a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 9*x**2 + 9*x - 9. Calculate i(-7).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 57089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 + -14. Suppose 5*n + 4*i - 35 = i, 4*n - 5*i = -9. Suppose -j - 40 = 5*o - 2*j, o - n*j + m = 0. Let l(d) = -d - 7. Give l(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181716192.\nAnswer: 2, 3, 7, 23, 3919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 - 6*g. Let y(h) = -h**3 + 5*h**2 - 3*h - 3. Let f be y(3). Suppose 0 = f*u - 2*u + 16, 2*k - 4*u = 22. Give m(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6660695237 to the nearest integer?\nAnswer: 1882","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p**2 - 9 + p + 3*p**2 - 4*p**2 - 2*p**2 - 4 in the form k*p + z*p**2 + i and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((4*(sqrt(27) - sqrt(27)*-2) - sqrt(27))\/sqrt(9))**2.\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*d - 5174 = 1766 + 1961. Calculate the remainder when 1261 is divided by d.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 55610.58cm?\nAnswer: 556105.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.797964873 and -37.039.\nAnswer: -36.241035127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 19 + 27, -p - q + 14 = 0. Suppose -10 = -5*f + 45. Solve -o - p = f*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1105828, -2211646, -3317464, -4423282, -5529100?\nAnswer: -6634918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 458042003 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + (-52)\/(-15))*345\/138?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 560\/480 - 24\/9. Is 453.7 > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, u: 5}. Give prob of sequence ueuu.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -27 + (-260975)\/(-8833)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -5*t**3 + 2*t**2 + 11. Let l(o) = 3*o**3 + 3*o**2 + 4*o - 7. Let z(s) = -s**2 - s. Let k(h) = l(h) + 4*z(h). What is 8*k(i) + 5*y(i)?\nAnswer: -i**3 + 2*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-3)*(x*x\/(x**(-8\/7)\/x))\/x*x*(x\/(x**(3\/7)\/x*x*x))\/(x**(2\/5)\/x))**(-2\/5) assuming x is positive.\nAnswer: x**(-582\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 153 + 32 + -70 + -79.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 3*p + 489, 2*x - 206 = 5*p + 45. Is x a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of -1\/2*g**4 - 1\/15*g**5 + 2*g - 4\/3*g**3 - 4\/3*g**2 + 17. Find t such that h(t) = 0.\nAnswer: -2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 30\/49 and 151\/160860?\nAnswer: 1126020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -723400 and -0.068.\nAnswer: -723400.068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3663*k - 5778 wrt k?\nAnswer: 3663","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9612 + 11302 = -1532*h - 12790 for h.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 72857 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 959 by -5.\nAnswer: -959\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -31*d**8\/48 - d**6\/40 + 7675*d**4\/24 - 5*d**2 - 102*d + 2. What is the second derivative of a(q) wrt q?\nAnswer: -4340*q**3 - 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.69 - 13.19. Let u = n + 9.46. Which is the fourth biggest value? (a) -5 (b) -0.5 (c) u (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -17\/90 (c) 7\/13 (d) 3 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -75*o**2 - 30624*o - 9792.\nAnswer: -3*(o + 408)*(25*o + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 579 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + c)*(-14*c - 4004 + 4004) + 0*c**2 + 3*c**2 - 7*c**2 + (-4 - c**2 + 4)*(5 - 2 - 5).\nAnswer: -16*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-11))\/((-673)\/22209)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 2.99. Let x = -3.01 + d. Let j = -6 - x. What is the closest to 1\/3 in 5, j, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -106*o**2 + 26*o**2 + 32*o**2 + o + 21*o**2 + 28*o**2. Let l(g) = -2*g**2 - 2*g. Give 11*j(z) + 6*l(z).\nAnswer: -z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157 is divided by ((-684)\/152)\/((-2)\/12)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*b + 19*b = -73 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 210112200 - -20100100?\nAnswer: 1000220000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 times -2.2?\nAnswer: 17.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 2*n = -13, n + 11 = 4*j - 0. Suppose b - 4*b = 54. Let x = 26 + b. Solve j - x = -5*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + (5\/30 - 821\/(-6)). Calculate the highest common divisor of l and 9384.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8053 - -38. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -182099950 = -4*h - 6*h. Let u be (h - 0 - -1) + 4. Round u to the nearest 1000000.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -244, -3496, -12350, -29614, -58096, -100604, -159946, -238930?\n\"Answer: -468*d**3 + 7*d**2 + 3*d + 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38642?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + 8*b + 12. What is y(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.9126331ml?\nAnswer: 0.0009126331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, -404, 538 in descending order.\nAnswer: 538, 32, -404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-3))**10 assuming n is positive.\nAnswer: n**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -86 - -97. Calculate the least common multiple of y and 3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21287 - 3172 = 789*r for r.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 2. Let k = -6 - 4. Let t be k\/g + 2\/(-4). Is t != -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 + -1 - 10*-2. Suppose -5*t + 4*r + c = 0, -2*t + 7 = -3*t - 5*r. Let b(z) = -2933*z - 1. Let x be b(t). Round x to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02 to 0 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -0.4, 1\/22, 2\/13, -2, -5874, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-15)\/10)\/(7 + 365\/(-50)). Solve 4*c + j*z = -1, 82*c + 7 = 87*c - 2*z for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 8:59 AM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23749 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30 is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2311, 2, 11, 3, -5, -3, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 5 - 2 = i, -4*f - 4 = -4*i. What is the fourth smallest value in 2, -5, -2, i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2643 + 2643.1277. Let f = a + -0.128914. Round f to four decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*y + 23*y = 3*p - 181, 2*y = 4. What is the common denominator of -1 + 0 - 41\/(-8) and (159\/9)\/((-38)\/p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/12)\/(-3 - 138\/(-48)). Determine p so that -71*p**4 + 116*p**4 - 45*p**b + 7*p**3 + 3*p**3 - 20*p**5 + 10*p = 0.\nAnswer: -1, 0, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -63 + 66. Which is the closest to -2? (a) d (b) -1 (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3461 plus 0.97?\nAnswer: 0.6239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 AM and 2:47 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 498 + 566 = 56*t - 224. Solve 0 = -t*p + 7 + 16 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -489424\/41 + 11937. What is the common denominator of 4\/(-22)*(-7)\/(-2) and z?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 85\/1722 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in -55.5, -1, -2\/5, -4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 206.002462 + -183.0024598. Let a = 22.53 + 0.47. Let s = r - a. What is s rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 + 24. Suppose q*d - 10671 = 3*d. Let s = d - -7787. What is s rounded to the nearest one hundred?\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, d: 1, e: 4}. Give prob of picking 4 l.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 334610981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -146369, -146365, -146361?\n\"Answer: 4*l - 146373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16\/14*(-63)\/(-18).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 0.6, 1\/5, -0.01, 270 in descending order.\nAnswer: 270, 0.6, 1\/5, -0.01, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1426\/245 + -246\/49. Put 3, -3, -2\/19, f in increasing order.\nAnswer: -3, -2\/19, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3296.9 to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -445976006*h**3 - 7*h**2 + 17299984 wrt h.\nAnswer: -2675856036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22.369 - 22.36901386. What is g rounded to 7 dps?\nAnswer: -0.0000139","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 1405568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1122201 (base 3) to base 11\nAnswer: 9a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -10*z - 13 - 11\/2*z**2. Differentiate j(r) wrt r.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a litre in millilitres?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4634\/1324)\/((-49)\/(-1288)*4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**2 - 4*y + 7. Let l be u(3). Suppose -3*m = -o - m + l, 3*m = 2*o - 21. Solve 3*c = -3*t + t - 21, 0 = o*t - 4*c - 11 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (80\/(-15))\/(-4)*(-1)\/6.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/200 and -115\/12.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1178, -1144, -1088, -1010?\nAnswer: -910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1898571 divided by 17.\nAnswer: -1898571\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 140.97702 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -18*i**2 + 11*i - 13. Calculate k(3).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 239 - 220. Let f = -18.9 + s. What is the closest to f in 3, -4, -3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2506.157ml in litres?\nAnswer: 2.506157","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 151*l - 909. Let r be j(6). Let m(x) = 13*x**2 + 13*x + 11. Let s(u) = 7*u**2 + 7*u + 6. Let p(t) = 6*m(t) - 11*s(t). Calculate p(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 31, 138, 327, 604, 975, 1446, 2023?\n\"Answer: a**3 + 35*a**2 - 5*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (53*s + 16*s - 230*s)*(0*s + 5*s - 2*s) in the form c*s + i*s**2 + f and give i.\nAnswer: -483","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 759*d - 740*d - 76 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 3, 4, -3\/11, -2.\nAnswer: -2, -3\/5, -3\/11, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29737?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 49 and 331.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-5 + ((sqrt(7) - (0 + sqrt(7)))*5 - sqrt(42)\/(sqrt(6) - sqrt(24)))))**2.\nAnswer: -40*sqrt(7) + 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -46622 * 5606\nAnswer: -261362932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11 times -0.1?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-3*(-3 + (-6*4*(sqrt(700) - 1*sqrt(700) - sqrt(700))*-4*-4)**2 + 0).\nAnswer: 309657591","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -115 - 6\/(-18)*0. Let y = l - -234. Calculate the remainder when y is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*k**2 + 4*k**5 - 8*k**3 + 8*k**3 + 0*k**5 wrt k.\nAnswer: 240*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a century in years?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of k**4\/4 + 8*k. Let x(m) = 0*m - m - 2*m. Give t(x(l)).\nAnswer: 27*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2528, -2779, -3114, -3575, -4204?\nAnswer: -5043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15768 and 72.\nAnswer: 15768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8388108 is divided by 104.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111200211110 (base 4) to base 16.\nAnswer: -560954","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 105 + -242304?\nAnswer: -242177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1735*z + 3*z**2 + 1730*z + 1731*z - 5196*z + 7 - 2*z**2.\nAnswer: z**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/75*5)\/((-30)\/15).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 3*j**2 - 6*j + 10. Let q be g(4). What is the tens digit of (-4)\/14 + (2220\/14)\/q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 8) to base 12\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 543*z**3 - 1214 + 1293*z**4 - 543*z**3 + 387*z**4 + 1875*z**4 with respect to z.\nAnswer: 14220*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000019458115 rounded to 6 decimal places?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4697955323.\nAnswer: 167, 1951, 14419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -84*o**3 + 21*o**2 + 21. Let p(t) be the first derivative of -17*t**4\/4 + 4*t**3\/3 + 4*t - 990. Calculate -4*n(c) + 21*p(c).\nAnswer: -21*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (13\/143 - (-463)\/(-11))*2420\/(-15). Calculate the highest common divisor of c and 168.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5027 in 4, 1, -2\/13, -1, -0.06?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -14160, -56652, -127474, -226626, -354108, -509920?\n\"Answer: -14165*q**2 + 3*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007339549 rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 3)*7*(-25)\/1225*238.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 44102 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -0.4, 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*a = -2381 - 1546. Calculate the greatest common divisor of 1738 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1348*d - 920*d + 174*d + 4586*d.\nAnswer: 5188*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + u - 3*u - 8, -4*z - u = -18. Suppose -y - 2*a - 4 + 6 = 0, y + z*a - 6 = 0. Sort 1, -4, y.\nAnswer: -4, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 5712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 187950 and 4475?\nAnswer: 187950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 862825792 to the power of 1\/2, to the nearest integer?\nAnswer: 29374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 324 + -291. Which is smaller: 31 or f?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12303 times -1.235?\nAnswer: 15194.205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/(28\/(-70) + (-1938)\/(-4870))?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13305361 (base 9) in base 6?\nAnswer: -352322514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 2*u + 53. Let f be v(-6). Suppose 3*m - 12 = 0, f*m = 6*s - 8*s + 532. Calculate the highest common factor of 96 and s.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 975519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*i**3*n*r - 126227*i**3*r - 40*i**3 - 3*i**2*n + 4*i**2*r + i**2 - 5*i*n*r + i*n + 187*i*r + 15*i wrt i?\nAnswer: 12*n*r - 757362*r - 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 113 - 101. Sort -15, d, 2 in decreasing order.\nAnswer: d, 2, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -182609.43742 + 182612. Let t = -2.57 + w. Round t to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -0*c - 5*c - d, 5*c - 3*d = -1. Let j be c*((4 - 5)*-523 + -1). Calculate the greatest common factor of j and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 124436827?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30000403 - -2?\nAnswer: 30000410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 79178 divided by -2171\nAnswer: -79178\/2171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 478 = -2*j + 4*j, w = 0. Let c = -124 + j. Let y = c + 7. Is 9 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6189 - -6201. Which is greater: p or 185?\nAnswer: 185","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 + -34. Let s = q - -15. Suppose -k + 24 = -s*x + x, -k + 36 = -5*x. Calculate the remainder when k is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 1)*(5*r**2 - 2*r**2 - 5*r**2) + (-2*r - 3*r + 6*r)*(r - 3*r + r).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 8. Let x(f) be the second derivative of -5*f**4\/12 + 2*f**3\/3 + f**2\/2 - 2*f - 10449. Give x(h).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.39 - -2.39. Is -657 < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/75 - 7\/25. Suppose -1206 + 1207 = s. Which is bigger: s or y?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*d - 16*d - 9 = 0. Suppose 4*x = 3*r + 52 + 70, 0 = -d*x + 4*r + 88. Does 8 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 48\/12 + 34\/2. Suppose z = -2*z + o. What is the greatest common divisor of z and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-918)\/(-510))\/((-2)\/(-10)). Solve -a*t = -53*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = 10*r - 155. Solve -r = -0*w + 5*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3663, 7328, 10993?\nAnswer: 14658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -56.82 - -56.95. Are -62 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -12*m + 32. What is p(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2504291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*n - 24 = 51*n. What is the tens digit of (n\/(-6) + 2)\/(14\/5817)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 3, -1869 in ascending order.\nAnswer: -1869, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1516 and 25147787?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 54311110 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/35*(-2307 - 8). Let i = t + -265. Let o = 0.11 - 0.11. What is the smallest value in 0.2, o, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11639 - 11699.745. Let q = 1.705 - m. Let x = -59 + q. Round x to one dp.\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, w: 1, s: 1, x: 2}. Give prob of sequence wxs.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + p - 2*p)*(2*p**3 + 5*p**3 + 17*p**3 + p**2 - p**3 - p**2 - 3*p**3 - p**3 + 3*p**3 + (0 - 2*p**2 + 0)*(p - 3*p + 3*p) + 4*p - 4*p - 2*p**3).\nAnswer: 18*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (623 - 904 - 329)*(-3 - 1 + 5)*(-4 - 2 + 5)*(-2*u + 1 - 1 + (0*u - u + 3*u)*(-2 - 2 + 1)) to the form t + w*u and give w.\nAnswer: -4880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 43.2553276 to 1 decimal place.\nAnswer: 43.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -410 - 25765?\nAnswer: -26275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -316, -289, -230, -139?\n\"Answer: 16*y**2 - 21*y - 311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -171 bigger than -171?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (24 - 1) + 5610\/(-330). Put -21, o, -5 in increasing order.\nAnswer: -21, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -520, -7\/6, 2\/11?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -789039657 + -0.06.\nAnswer: -789039657.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) - (sqrt(448) + -4))**2 + 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 1 = -z, 8 + 8 = -4*z + 2*n. Let a be z + -4*4*2\/(-4). Solve -5*j - g - 11 = 12, 0 = -2*j - a*g - 17 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 3849233?\nAnswer: 7698466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.09 in 1, 0.5, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 666055?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4366106 times -0.073?\nAnswer: 318725.738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2213*d*x**5 - 7489*d*x**3 + 27*d*x + 5*d - 28935 wrt x?\nAnswer: -44260*d*x**3 - 44934*d*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 74*c + 11163. What is u(-149)?\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - 5*f + 10. Calculate k(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1759583.01 to the nearest one hundred thousand.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 3 = -12, 4*r + 2*c = -6. Let w be 50\/(r + -1)*1\/(-2). Solve w*y + 36 - 46 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/28*(3 - 4). Which is the second smallest value? (a) -2\/3 (b) -615 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28292 (base 11) in base 8?\nAnswer: -116521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.079 in 0, 87\/13, 2\/3, -0.4, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/(-2)*-1 + (1751\/2448 - -1) and 127\/432?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/4*(-56)\/(-21) - -8. Calculate the greatest common divisor of 290 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3035*v**2 + 6 + 1494*v**2 + 1537*v**2.\nAnswer: -4*v**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 4*x - 4 = 0, 4*o - 3*x + 4 = 2*x. Let h(z) = -z - 4*z + o*z + 2*z - 11. Determine h(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -14 + (30\/(-5)*1 - -54)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9 and 310.\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 1.2, 1\/4, -2, -4, 17 in descending order.\nAnswer: 17, 1.2, 3\/4, 1\/4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 18*y + 44. Put y, -0.2, -11.31 in ascending order.\nAnswer: -11.31, y, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = 0, 4*w - 176*p - 20 = -175*p for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 7bb (base 13) to base 2\nAnswer: 10100111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.07, 3\/206, -166?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 - (-5)\/((-5)\/3). Let t(v) = v - 10. Let d(c) = -c + 11. Let z(i) = k*t(i) - 6*d(i). Let w be 3*10*(-2)\/(-12). Give z(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 336 = 64*v + 20*v. Let h(a) = -a**3 + 2*a**2 + a. Let l be h(2). Suppose -4*m + 3*k + 4801 = m, v*k = l*m - 1926. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -h + 9. Suppose -h*d + 84 = -42. List the prime factors of d.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 37 = -9. Let f = 23 - h. Let a(d) = d**2 - 7*d**3 + f*d**2 + 1 + 5*d**3. What is a(2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-62)*46531\/(-87058)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*((-368)\/(-24))\/(-23).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8727 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23.084 + 4.\nAnswer: 27.084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of s**6\/120 + s**5\/30 - s**4\/12 - s**3\/6 + 3*s**2. Let v be 4 + 2 + -2 + -2. Is y(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 286 = i, 554 + 976 = -5*i - 5*t. Let l = 1865\/6 + i. What is the nearest to 24 in -0.2, -2\/23, l, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 219, 412, 605, 798?\nAnswer: 991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60, -114, -210, -354, -552, -810?\nAnswer: -1134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2220 (base 6) to base 8.\nAnswer: 1004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -92 - -137. What is the greatest common divisor of 18 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-52)\/(-8))\/(-13)*28\/8.\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18193831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -14) + -4 + -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-1)\/(-3)*1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 116.6 to the nearest integer.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2722 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 300146000?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**3 + 32*u**2 + 425*u + 656. Determine s(25).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/763, -0.5, -26 in descending order.\nAnswer: -4\/763, -0.5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101 - 113?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 37*w**2 + 31*w + 601. What is the thousands digit of c(-14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**4\/5 + 1073*s**3\/5 - 31614*s**2\/5 - 713888*s\/5 - 3134336\/5 = 0. Calculate s.\nAnswer: -8, 47, 1042","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l + l + 4*l + 4*l + 2*l - 5*l + (-2*l - l + 4*l)*(-1 + 4 - 2))*(11*l**2 - 240*l + 240*l).\nAnswer: 33*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -137 + 138. Solve 0 = -2*v - 7 - b for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2450 and 490.\nAnswer: 2450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 1608236 = 3*z - 1608277, -5*t = -4*z + 43 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -2.26, -0.82, -1, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148\/5*m - 104\/5 + 12\/5*m**2 = 0. Calculate m.\nAnswer: -2\/3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 12*g - 10 + 14 = -a - 26, 3*a - 16*g - 20 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1d908a7 (base 14) to base 2\nAnswer: -111000101110000011100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of -h**5\/20 + h**4\/12 + h. Let r(f) = 4*f**3 - 8*f**2 - 2*f + 1. Let b(q) = -r(q) - 5*u(q). Calculate b(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -26*r**3 + 9*r**2 + 5*r - 3. Determine u(-1).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k + 35 + 28 = 0 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12583 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5630?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 17\/10 of a milligram?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of h**7\/315 + 3*h**6\/10 - 19*h**5\/30 - 55*h**4\/18 - 5*h**2 - 2*h. Factor v(g).\nAnswer: 2*g*(g - 2)*(g + 1)*(g + 55)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 481.195 to the nearest integer.\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 12:06 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*n**4 + 3*n**3 + 90*n**2 - 148212*n wrt n.\nAnswer: -108*n**2 + 18*n + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 + 2*a**2 - a**2)*(1517 - a**3 - 1272 - 767).\nAnswer: a**5 + 522*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**3 - r**2 - 5*r + 5. What is the units digit of h(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -5 + 1245*g**2 + 21*g + 10 - 1247*g**2. Let h(a) = -a**2 + 10*a + 3. Let n(u) = -5*h(u) + 3*k(u). What is the second derivative of n(r) wrt r?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3\/(-5))\/(-3))\/((-56)\/(-70)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-39) - (-28)\/13. Let x(p) = 5*p - 5*p - 2*p**2 + 3*p**r. Let q(w) = w. What is x(q(v))?\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 26*d = -29*d + 7, 3*q - d = 16 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35420044?\nAnswer: 2, 11, 17, 47353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66219 is divided by 172?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - 6*c - 1. Let q(m) = m**3 - 10*m**2 + 2*m - 13. Let d be q(10). What is the remainder when 9 is divided by p(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02684*3\nAnswer: 0.08052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -82 + -b5a3?\nAnswer: -b625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - 5*f**2 + 5*f + 4. Let p be (-6)\/2 + 234\/(-9). Let i = p - -33. Give m(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 455*t - 467*t - 36 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 + 80 = 4*d - v, -2*d = 4*v - 34 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5*x = 0. Suppose 2*z - 27 - 83 = x. Suppose 39 = 2*k - v, -4*k - v + 21 = -72. Calculate the greatest common factor of k and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**3\/11 - 210412*v**2\/11 + 17347760*v - 43172704064\/11 = 0. Calculate v.\nAnswer: -211316, 452","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.14? (a) -3 (b) 4\/3 (c) 0 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -16*g**3 + 19*g**2 + 26*g - 21. Let s(d) = -7*d**3 + 9*d**2 + 12*d - 12. Let i(r) = -3*h(r) + 7*s(r). Calculate i(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186025 is divided by 10941?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1440, -2902, -4388, -5898, -7432?\n\"Answer: -12*m**2 - 1426*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rzx when three letters picked without replacement from {x: 1, c: 4, i: 1, z: 2, r: 1}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2794717.96 + -34007.96. Let p = o + -2760710.1299843. Let y = 0.13 + p. What is y rounded to 6 decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275 is divided by 188?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00950358 rounded to 5 decimal places?\nAnswer: -0.0095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.36 and 26?\nAnswer: -9.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2247651.5563 - 2247751. Let b = a + 0.0437. Let m = -110 - b. What is m rounded to zero dps?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27518395 and 265?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -5*w + 33. Let b(o) = o - 1. Let k(d) = -b(d) + f(d). Let a be k(5). Let j be 1*a\/(-8) + 36\/8. Solve -4*h - 10 = 2*i, -h - i = j*i - 2 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 310 - 285. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**4\/11 + 1038*h**3\/11 + 6942*h**2\/11 - 115502*h\/11 + 107520\/11 = 0. Calculate h.\nAnswer: -512, -15, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/2)\/((-16)\/(-32)). Let h = -3 - l. What is the nearest to -1 in h, 2, 2\/41?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*j**2 + 13 - 20 + j**2 + 0*j**2 - 7.\nAnswer: -5*j**2 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33 and 5379909?\nAnswer: 59178999","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiiihiihihii. What is prob of picking 1 i and 3 h?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 5*p + 25 = -3, 4*s - 2*p = 2 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -u**3\/6 - u**2\/2 - 20*u. Let v(o) = -7*o - 3. Determine 5*t(i) - v(i).\nAnswer: 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -80ac93 (base 13) to base 5\nAnswer: -1231310322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5 - 0)*4\/10. Let q(v) = 93*v - 1 + 2 - 94*v + 1. Let z be q(l). Which is greater: z or -3\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 11*x + 72. Let w be s(-6). Let t be w\/(-8)*(-64)\/72. Suppose 8\/3*z + 0 + t*z**2 = 0. Calculate z.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: What is the eighth root of 45627 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - -8) + -4 + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 53161402 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 11*a**2 + 43*a - 16. Let i be n(14). Let r be (-16)\/120*(-51)\/(-8). Which is smaller: i or r?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.2 and -1.\nAnswer: 5.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -52938428*s**4 + 4*s**3 + 40183224 wrt s.\nAnswer: -211753712*s**3 + 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -6*b**2 - 144*b. Give n(-24).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 + -28. Let t be c\/((-3)\/(-30)) - 0. Let w be 5\/t*(-2 - -8). What is the third smallest value in w, -2, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 - 5*a**3 - 25*a - 195*a**2 - 44*a + 150 + 117*a**2.\nAnswer: -3*(a - 1)*(a + 2)*(a + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19246177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.051 + 0.131. Let v = -2\/307 + -604\/1535. Do y and v have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*t = 13*t + 25. Suppose t*a + 6*q - 3383 = 2*q, -2*q - 2043 = -3*a. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eyg when three letters picked without replacement from sgsessyy?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 182, 180, 178, 176, 174?\nAnswer: 172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -20\/187 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u\/(u*u**(-6)*u))\/u)\/((u**(-1\/10)\/u)\/u))\/(u**22*u**(-2\/9)) assuming u is positive.\nAnswer: u**(-1321\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -11 + 15 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, y: 2, c: 4, n: 2, w: 2}. What is prob of sequence yy?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2849 = 8*d - 45*d. Let b(j) = -j**3 + 9*j**2 - 2*j + 22. Calculate the least common multiple of b(8) and d.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 2:57 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -i**2\/2 - 3*i - 365. Determine g(9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dod when three letters picked without replacement from dodoooooodddododdood.\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2 + 8 = 0. Let z(a) = a + 1. Let d be z(i). Let b(g) = g**2 - 3*g - 1. Let m be b(3). Put m, 1, d in increasing order.\nAnswer: d, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1\/2*j**2 + 290*j.\nAnswer: j*(j + 580)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 3*b - 93. Calculate the smallest common multiple of 110 and b.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -66375, -129880, -193385, -256890, -320395?\n\"Answer: -63505*u - 2870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of v**5\/20 - v**3\/6 - v**2 - 126*v + 2. Determine c(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 261 and 116?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -a + 3*a. Suppose 3*k + 2*t = -5, -3*k + 5*t = 2*k + 50. Sort a, k, 5 in decreasing order.\nAnswer: 5, a, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 27, 31, -5, -1, -3, -82 in ascending order.\nAnswer: -82, -5, -3, -2, -1, 27, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2968178113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 1.4, 0.06, 34, 7\/6?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6 - 2)*(-10)\/4. Let n be (1 - i\/(-6))*-111. Suppose -q = 0, 3*q = -2*t + 6*q + n. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -647992, -647805, -647494, -647059, -646500, -645817?\n\"Answer: 62*g**2 + g - 648055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 w, and 1 i when three letters picked without replacement from wjiyyyz.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*g - 20*g = -306 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + n)*(14 + 6 - 7) + (2*n - 5*n + n)*(-4 + 6 + 0) + 4*n + n - 2*n.\nAnswer: 12*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.45 + 1.45. Which is the closest to k? (a) -15 (b) 5 (c) -1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of x**8\/840 + 5*x**4\/24 - 7*x**3\/3 + 7. Let o(a) be the third derivative of w(a). Differentiate o(j) wrt j.\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_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: Does 34 divide 10647575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14711770*s**5 - 4336*s**2 + 824.\nAnswer: 882706200*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 4*k. Let y(q) = -5*q. Let v(t) = 4*d(t) + 3*y(t). Let f(j) = -3*j**2. Determine v(f(p)).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 38+3.3\nAnswer: 41.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 0.21642, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of j**6\/585 + 3*j**5\/260 + j**4\/78 + 7*j**3\/6 + 16*j**2. Let t(q) be the first derivative of u(q). Factor t(w).\nAnswer: 2*(w + 2)*(4*w + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2607?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 3:05 AM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2125 and 4048550.\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.1248073, -0.4, 6\/5, -2\/7, -5 in descending order.\nAnswer: 6\/5, 1.1248073, -2\/7, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 650 and 9361066?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -119 - 0.02133.\nAnswer: -119.02133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of -d**5\/140 + d**4\/14 - 3*d**3\/14 - 25*d**2. What is a in o(a) = 0?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -3 - (0 - -2 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -557866 - -296226746\/531. Let t = -2\/59 + o. Which is the second smallest value? (a) t (b) 2 (c) 1 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*n - 38*n + 117 = 0. Let p(c) = c**2 + 6*c + 52. What is the tens digit of p(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16559.7 - 16570.9717. Let d = -61.3487 - x. Let a = 50 + d. What is a rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/590 and -68\/39.\nAnswer: 23010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.285 + 34.585. Let v = 40 - h. Let s = 0.87 + v. What is the nearest to s in -5, 5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/84 and 29\/49.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 2:07 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 2*c**2 + 2740*c - 13480000 = 0.\nAnswer: -3370, 2000","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, 6, 1, -8 in decreasing order.\nAnswer: 6, 5, 1, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.8 - -5. Let f = 0 - u. Let r = f - 1. Is r less than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 - 2*s**2 + s. Let d be v(-2). Let m(n) = 3*n**2 + 2*n - 2. What is the units digit of m(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 11*t**2 + 9*t + 9. Let d be z(10). Let x be ((-4)\/6)\/d*63. Suppose 0 = p + 2*v - x, 2*v - 4*v - 54 = -p. Is 16 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178074623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -202001 (base 4) to base 6\nAnswer: -14025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + -23. Let l(u) = -7*u + 2*u**2 + 0*u + 8*u + 5*u - 9. What are the prime factors of l(o)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2048)\/sqrt(4) - (2 + sqrt(32)))*2*5*5)**2.\nAnswer: -120000*sqrt(2) + 730000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -5*k - 342, 3*k = 4*s + 5*k - 684. Let v be 6\/21 + s\/63. Determine h so that 0*h**2 + 0 - 1\/3*h**4 + 0*h + 1\/3*h**v = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -706\/7 - -101. Let g be (-66)\/56 + (2 - 25\/20). What is the third biggest value in g, -2\/13, 1\/11, u?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -29*q - 7. Let k(y) = -59*y - 13. Let p(f) = 5*h(f) - 3*k(f). Let v = -22 + 25. Is 20 a factor of p(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p + 1. Suppose 0 = -4*d - 20, 1 = -2*y - d - 2. Let v = -2 + y. Let k(o) = -o**2 + 2*o + 2. Determine v*k(w) + 2*g(w).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3107?\nAnswer: 13, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 10:09 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -160 - -170. Let s be o\/3*3\/(-8)*-4. Solve 1 = -4*w + s for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - 12*i**2 + 128*i + 792. Determine h(-17).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uttuuzuztt. What is prob of sequence tzu?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 3*k = -27. Calculate the remainder when 30 is divided by -2*((0 - -1) + k).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 716 - 312 - 188 + u + 2*u - 216.\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of -r**4\/6 + 15*r + 10. Let w(p) = p**2 - 2*p**2 - p**2. Give j(w(s)).\nAnswer: -8*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-2*sqrt(363) + sqrt(15)\/sqrt(5) + -2 + -5.\nAnswer: -21*sqrt(3) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -8 + 155. Let d = y - -55. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2980 - 34618299\nAnswer: -34621279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -5*l + 5*g + 15, 5*l - 5*g = 20. Let s = -11 + 13. Sort s, -4, l, -5 in descending order.\nAnswer: s, l, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84572 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 699\/2191 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i + 5 + 4 - 2 + 0. Suppose 5*b - 5 = -5*a, -4*a = -b + 4 + 12. Suppose b*x = 7*x + 15. Calculate w(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -25, -5038 in descending order.\nAnswer: 1, -25, -5038","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -142 (base 11) to base 6\nAnswer: -435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -7*r + 5. Let g(y) = 30*y + 1 - 5 - 8 - 4 - 10*y. Give -17*c(j) - 6*g(j).\nAnswer: -j + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1161692 is divided by 50505.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(5\/7))\/(u**16\/u) assuming u is positive.\nAnswer: u**(-93\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/215 and -113\/80590?\nAnswer: 3465370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-666)\/1036 - 3\/14)\/((-1)\/(-14)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1232 + 7367\/6. Let d = -9374 - -187437\/20. Calculate the common denominator of b and d.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -334 + 1335694428\nAnswer: 1335694094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1436 + 1438. Put -8, b, -5 in descending order.\nAnswer: b, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -101, -102, -103?\n\"Answer: -h - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (-11 - 7 - -11)) + 10.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*x - 21 = 88*x - 245 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + 1 + (4 - -10). Suppose -21*y + 17*y + z = 0. Solve 0 = -3*f - y*c - 25, 3*f - 2*f - 9 = 3*c for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 71*m. Let n(w) = -411*w + 1. Determine n(p(j)).\nAnswer: -29181*j + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3830738 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16557301?\nAnswer: 47, 151, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*h - 29*h = 119*h + 96*h + 25900 for h.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11739 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8076053?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 67843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(882) - ((sqrt(882) - (sqrt(882) - (-2 + 1*sqrt(882)))) + sqrt(882)) - sqrt(882) - (sqrt(882) + 1*sqrt(882))*4)**2 + 2.\nAnswer: -840*sqrt(2) + 88206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -3. Suppose -c*q = 4 - 18. List the prime factors of q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 58157\/2005488 + 4\/6597. Let u = -3161\/1520 + a. Find the common denominator of 77\/20 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/27 - 152168\/(-2070). Are v and -2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 5 = 0, 2 = q + 5*w - 2*w. Let x be (4\/(2 - 6))\/q. Suppose 10 = 3*m + x. Is m at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 2. Let c(s) = s**2 - 12. What is c(d)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 10*d + 4 = -1, -3*j - 129*d = -128*d - 16 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -2. Let o(n) = 8*n + 320. Let j be o(-39). Let v(y) = -y**3 + 11*y**2 - 21*y - 32. Let r be v(j). Put -3, r, l in decreasing order.\nAnswer: l, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.2 (b) -13 (c) 0 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = j + 58. Let s = -28 - j. What is the remainder when s is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 2*a**2 + a - 26. Let l be p(0). Let y = l - -25. Let u = y + 4. What is the lowest common multiple of 3 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 219 and -1771.\nAnswer: -387849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3*z**3 - 248*z**2 - 423*z - 1464. Calculate l(-81).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 3 - 18 = -5*p, 0 = m + 2. Let b be (-2)\/(4\/(-54)) + -1. Suppose p*q + 11 - b = 0. Solve 4*o - t = q*t, 0 = 2*o - 5*t - 15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-141)\/(-18) + 2\/12. Suppose -3*y = -b*y - 20. Let f(v) = v**3 + 5*v**2 + 3*v. What is f(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppsppsssppppp. What is prob of sequence sps?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - ((0 + -3 - -7) + (-20 - -11))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of 114*t**5\/5 - 116*t**3\/3 + 54. Find the third derivative of c(n) wrt n.\nAnswer: 2736*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17774106?\nAnswer: 2, 3, 7, 137, 3089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/2, 253, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-87)\/319 + (-5856)\/66. Which is bigger: z or -448\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19)\/((11388\/73)\/52)?\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 0 = 3*w + j, 0 = -2*w + 4*j + 8. Let b = 10 - 20. Let t be 2\/5*b\/6. What is the nearest to -2\/9 in w, 0.1, t?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 8*c + 2. Let n(v) = -14*v - 4. Let i(d) = 10*a(d) + 6*n(d). Let x(l) = -l - 1. Determine -6*i(j) + 21*x(j).\nAnswer: 3*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1))**(-1\/23)*(b*b\/(b\/((b*b\/(b**(-2\/5)\/b))\/b)))**37 assuming b is positive.\nAnswer: b**(14472\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(-8)*t*t)\/(t**(3\/2)*t)*(t\/((t*(t*t**(-2\/7)\/t)\/t)\/t*t))**(-16\/3))**(-13\/3))**(-8\/7) assuming t is positive.\nAnswer: t**(-3484\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**2 - 6*j**2 + 2*j**2)*(5*j - 15*j - 2*j) + j**3 - 2 + 2.\nAnswer: 13*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.408337734 to 5 dps.\nAnswer: 0.40834","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*g + 23*g = -56 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 16*d**2 + 25*d - 30. Let j be z(-14). Is (-986)\/(-3*(j\/(-9) + 2)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-13)*3133\/723?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*i = -103*i + 72 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -68767072 divided by -44?\nAnswer: 1562888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7883265 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -83098784775475 - 1.\nAnswer: -83098784775476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-35)*1680\/(-144)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24019 + -432491\/18. Find the common denominator of -43\/16 and o.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-228)\/336 + (-5 + 102\/24)\/(12\/(-20)). Determine x, given that i*x**2 - 4\/7*x + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/259, 3, -35 in descending order.\nAnswer: 3, -3\/259, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of -5*p**9\/504 - 11*p**5\/60 + p**2. What is the third derivative of q(k) wrt k?\nAnswer: -600*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0114 - 1554.9886. Let p = i - -1555.000001543. What is p rounded to seven decimal places?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6130887 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + f - 1. Let m(k) = -6*k**3 + 5*k**2 - 10*k + 8. Let n(b) = m(b) + 5*w(b). Let d be n(3). Solve -a = -3*a - d for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6256*-1.7453\nAnswer: 10918.5968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113569 is divided by 2260.\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11553 - 11553. Let r(y) be the second derivative of -11\/14*y**3 + d*y**2 - 24*y + 1\/28*y**4 + 0. Factor r(o).\nAnswer: 3*o*(o - 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2981901\/343 and 8693 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208 = -644*z + 657*z for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.14 rounded to the nearest integer?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 6*j - 16. Let x be a(6). Let y(z) be the third derivative of z**5\/20 + z**4\/12 - 47*z**3\/6 + 13*z**2. Is y(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24824*-0.3\nAnswer: 7447.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2434 - 2429. Calculate the highest common divisor of 570 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 433121 divided by -5.\nAnswer: -433121\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/7, -5, -28, -0.1, 10, 12449?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 101*g**2 + 69*g + 947. Is i(-21) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-3))\/(13\/91*-7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -983911 and -0.09.\nAnswer: 88551.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 574111?\nAnswer: 83, 6917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -209*n - 21. Let m(o) = 104*o + 10. Let v(u) = 5*m(u) + 3*t(u). Suppose 4*c - 21 = 75. What is the remainder when v(-1) is divided by c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29 - 24. Suppose -u*s = -0*s - 30. Solve -2*d = s - 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 835039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from joaoa. What is prob of picking 1 j and 1 a?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 5\/3)\/(2\/(-150)). Let q = 41 - j. What are the prime factors of q?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - g - 268012 = 0, 4*k - 4*g - 36142 - 178274 = 0. Suppose -3*n + k + 18398 = 0. What is n rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (62 - 82) + 524*6\/(167 - 11)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24761027 divided by 14?\nAnswer: -24761027\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 62*p**3 + 3*p - 4. Let o(r) = -9*r - 2*r**2 + 2*r**2 + 14*r - 7 + 123*r**3. Let c(f) = 5*b(f) - 3*o(f). Differentiate c(z) with respect to z.\nAnswer: -177*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1369, -5602, -12657, -22534, -35233, -50754?\n\"Answer: -1411*b**2 + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(480)*-1)\/sqrt(8))\/(3*sqrt(12)*-1) + -3.\nAnswer: -3 - 4*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/(-5))\/((-2)\/10). Let x be (b + -2)\/(1\/1). Let o be (-1)\/x - (-4 - -1). Solve -2 = o*q + 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(((-30550)\/(-765))\/(-10) + 4).\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 4 + 12. Suppose -5*v + 19 = d, -4*d + 12 = 4*v - 80. What is the highest common factor of d and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2 + 536*i.\nAnswer: 2*i*(i + 268)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 + 5 = -4*s. Let w = 12 - s. Suppose -3*p - w = -p. Which is smaller: p or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/9*(-7)\/((-315)\/108)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1253 = -23989*d + 24079*d - 817 for d.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*x + 7*x + 27 - 13 - 36 + 31 - 9.\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in 1.7, 92, -22.5?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6512 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*p + 18*p - 60 = -5*i, -3*p + 4*i - 31 = 0 for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 7 - 4)*(107 + 29*g - 107).\nAnswer: -435*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1432? (a) 3 (b) 0.5 (c) 39 (d) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/24 and 55\/8264856.\nAnswer: 8264856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -67*u + 1623. Calculate the least common multiple of r(24) and 165.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44) + sqrt(132)\/(sqrt(3)*-2))\/(sqrt(256)*-1 - sqrt(256)).\nAnswer: -sqrt(11)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 4*w - 181, 3*w - 2*w + 106 = -2*c. Let i = -181 - -186. Let o = i - c. What are the prime factors of o?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + 1. Let w = s + -6.3. Let y = 0.001973 + 0.498027. Which is the smallest value? (a) 0.3 (b) w (c) -2\/13 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*-10)\/((-2)\/(-1)*(-1)\/((-100)\/(-75))).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8803 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -20. List the prime factors of d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*n - 4 = -z - 26*n, 3*n + 8 = 2*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of -5*h**8\/7 - 19*h**4\/12 - 21*h. Find the third derivative of r(o) wrt o.\nAnswer: -4800*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000042134 rounded to seven decimal places?\nAnswer: 0.0000421","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and (4\/8)\/(6\/84)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -9. Let k = -0.25 - -0.05. Let x be 1056\/552 - (-4)\/46. Which is the closest to n? (a) x (b) k (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5\/256 + -477\/1792. Which is the closest to 1? (a) y (b) 0 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8471\/130 - -708\/13. Find the common denominator of 16\/11 and s.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2103336 divided by 24\nAnswer: -87639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 14308803 times 0.1?\nAnswer: 1430880.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -bb82 (base 14) to base 15\nAnswer: -9939","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3422923\/267 or 12821?\nAnswer: 12821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 10:48 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 8:32 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (34*h + 53*h - 20*h)*(-3*h + 0*h + h) to p + r*h + y*h**2 and give y.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 less than -2.47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29 + -26. Solve 4*j + 6 = 2*p - 2, -j = q*p - 12 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.92 and 4.5.\nAnswer: 3.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -21752448 divided by 128?\nAnswer: -169941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 359 + -355. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -42901, -42899, -42897, -42895, -42893, -42891?\n\"Answer: 2*d - 42903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 2044 + 2033 = -3*k, -k = a - 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 2\/5. Which is the fourth biggest value? (a) -2\/5 (b) f (c) -4\/3 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 20 = 4*r + 8*w, 3*r = 3*w + 9. Solve -r = 5*d + 16 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of i**3\/3 + 3*i**2 - 7*i - 1. Let m be d(7). Let p = m - -13. List the prime factors of p.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 916 - 914. What is the nearest to 0 in 0.5, 4, 0.3, l?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/9 + (-12 + 7 - 0).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2 - 118350*h - 946928.\nAnswer: 2*(h - 59183)*(h + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -6*k**2 + 30*k - 30*k + 10*k**2. Let r(z) = -20*z. Let f(t) = 2*t. Let y(i) = -6*f(i) - r(i). Determine y(n(a)).\nAnswer: 32*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1130 (base 10) to base 9\nAnswer: -1485","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of -x**6\/180 - x**5\/18 + x**4\/9 + 20*x**3\/9 - 7*x**2 + 19. Determine g so that i(g) = 0.\nAnswer: -5, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 143769 divided by -51.\nAnswer: -2819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2022202 (base 3) to base 7\nAnswer: 4640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2723 + 0*w**3 - 2*w**2 + 2726 + 0*w**3 + w**4 + 4*w to the form p*w**3 + i*w**2 + t + j*w**4 + f*w and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -29 - 5. Let x = 109 + -44. Suppose -4*r = -3*k - 9*r + 7, 5*r = 5*k - x. What is the remainder when g is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 582 divide 40676647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of -q**2\/2 + 9*q + 1. Calculate l(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - (-1)\/((3\/2)\/3). What is the common denominator of -17\/15 and q\/17 + 9044\/(-3179)?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2458198.33 rounded to the nearest 100?\nAnswer: 2458200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 34055088 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30433, -30194, -29851, -29398, -28829?\nAnswer: -28138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*p + 30*p = -38*p + 125*p + 1512 for p.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 780744 is divided by 37173?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -127, -204, -291, -394, -519, -672?\n\"Answer: -w**3 + w**2 - 73*w - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 353717 and 322?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*c**3 - 30*c**3 - 30*c**3 + 75*c**3.\nAnswer: -18*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-1 - (5 + -10))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 - i. Let f be j(3). Suppose f = 5*l - 4. Sort l, -3, -5.\nAnswer: -5, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 8. Suppose o = -4*z + z + 6. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 9:36 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2413800922128.9499889 - 2413801080248. Let b = u - -158119. Let m = b - -0.05. Round m to six decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 92505392?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 5646888\nAnswer: 1129377.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13296992 and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1292820 by 43094.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from faiaacaaagaigici. Give prob of sequence acf.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 490?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1629\/3258*2*2\/(-8))\/((-10)\/24)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-12 + (16 - 7) - 7) + -4\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 21. Let r = l + 29. Let d = r + -42.0043. Round d to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22278 + 13691. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 - -64. Let g(u) = u**3 + 7*u**2 + 4*u. What is the remainder when y is divided by g(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 7*r + 9. Let x be v(6). Suppose 2*s - 17 = -s + 2*d, 0 = 4*s + x*d. Solve 3*l = 2*b - 22, -5*b - 3 + 16 = s*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*m - 2133 = 138*m + 177. Let r(h) = -h - 41. Calculate r(m).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ztdwzffo. Give prob of picking 1 d, 1 o, and 1 z.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -9. Find the third derivative of -3*b**2 - 3*b**3 + 6*b**t - b**3 wrt b.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 3. Suppose -5*h - w = 4*d + 19, -h = 3*d + 4. Let f = -1.3 + 0.3. Put d, -1\/8, f in decreasing order.\nAnswer: d, -1\/8, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.1, 2, -39, 69.6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 8. Let h = -8 - x. Let o = 10 + h. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -f + 5*v, -3*f - f - v + 4 = 0. Suppose -l + f*l = -26. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1745*b**2 + 3 + 9*b - 1 - 5*b + 598*b**2 - 2*b.\nAnswer: 2343*b**2 + 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 * -1893330.\nAnswer: -13253310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 6*g**2 - 12*g + 15. Give b(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -6*c. Let n(h) = -44*h**2. What is x(n(w))?\nAnswer: 264*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/11)\/u)\/((u\/u**(-2\/7))\/u)*(u\/((u*u**(1\/4))\/u))**(1\/62)*(u**(1\/13)\/u**(7\/3))\/(u**(2\/5)*u)**(-11) assuming u is positive.\nAnswer: u**(44538973\/3723720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-64 - (43 + -85)) + -2 + 14?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1340, 1339, 1340, 1343, 1348, 1355, 1364?\n\"Answer: o**2 - 4*o + 1343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -x - 12, 9*n - 4*n - 6 = 3*x. Suppose 5*c = n*j + 662, 530 = 2*c + 2*c - 2*j. Let w = 189 - c. Does 8 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -811*b**4 - 196 - 612*b**3 + 1226*b**3 - 614*b**3 + 721 with respect to b.\nAnswer: -3244*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/22 + (-20)\/110?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3377.\nAnswer: 11, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 1 (b) 0.115 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -v + 4, 0 = v + 4*v + 4*k - 56. Suppose 3*p + p - v = 0. Suppose 4 = w - p*s, 0 = 5*w + 3*s - 30 + 10. Solve 8 = -0*c + w*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**4 + h**4 - h**4 + (-h**4 - 2*h**4 + 2*h**4)*(0 + 6 - 4) - 52*h**4 + 63*h**4 + 56*h**4 + 120*h**4 - 19*h**4 - 57*h**4.\nAnswer: 107*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4163038?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 14812.51 litres?\nAnswer: 14812510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, n: 2, f: 3}. Give prob of sequence ff.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c*i**5 - 2*c*i**4 + 70*c*i**3 + 60*c*i**2 + 3*c*i wrt i?\nAnswer: -60*c*i**2 - 48*c*i + 420*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000053279925 to 7 dps.\nAnswer: 0.0000533","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 191 + -39. What is the highest common factor of 57 and z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6026971.\nAnswer: 19, 317209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 313977 is divided by 39228.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a century in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**2 + 47*s + 78. Let i be g(-22). Let n be (i\/(-18))\/(3*5\/(-45)). Let w(p) = -17*p + 1. Give w(n).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -33108 = -33107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/2)\/(2\/(-8)). Suppose -1 - 15 = -v*p. Suppose -5*y = 5*w - 145, p*y = 4*y - w + 104. Round y to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2472 divided by -8?\nAnswer: -309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 519 a factor of 1773778515?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, -70 in descending order.\nAnswer: 5, -1, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 73575 and 3375.\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 35 and 246.546?\nAnswer: 8629.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 84 - 566538?\nAnswer: -566444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -406, 5, 2, 891 in descending order.\nAnswer: 891, 5, 2, 0, -3, -406","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(-6\/7)*f**(-4)\/f)**(3\/4))**(4\/7))**(-2\/33) assuming f is positive.\nAnswer: f**(4\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/(sqrt(72)\/sqrt(576)).\nAnswer: 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (14 - (-21 + 52)) + 9\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o**3 - 2*o**2 - 2048*o**4 + 1021*o**4 + 1024*o**4 + 31*o - 1 to the form t*o + b + f*o**3 + n*o**4 + h*o**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 432776351 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -2, 2100 in descending order.\nAnswer: 2100, 6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -67.64 * 5373.5.\nAnswer: -363463.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.4, 2\/7, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-11)*12\/48.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -7*n + 145. Suppose 3*m = 2*m + n. Let q be m\/105 + 3\/(-9). Which is smaller: 0 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 97 + -96.8. Let l = -6989 + 6988.7. Which is the nearest to -0.23? (a) k (b) l (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*r + 24*r - 8. Let q(k) = 2*k - 6. Let y be q(4). What is the third derivative of 3*x**3 + y*x**2 + x**2 - 5*x**r + 4*x**2 wrt x?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 23504905 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*q + 247 = -0*q - 342 for q.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 53*q**4 + 19*q**4 + 26*q**4 - 2*q**4 + 2*q**2 - 2*q**2 + 2 - q**4 - 2 + (q**3 - q**3 - 2*q**3)*(4 - 4 - 2*q).\nAnswer: -7*q**4 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 55*p + 57*p - 1536, -2*k - 3*p = 1551. Let c = 699 + k. Which is bigger: -73 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -124 + 180. Suppose g = 5*j - 14. Is j a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 72*x**5 - 9840*x**4 + 32487*x**3\/2 - 5865*x**2 - 2031*x\/2 + 405 = 0.\nAnswer: -1\/4, 1\/4, 2\/3, 1, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 6 - 21 = 0, -2*l + 7 = -m. Differentiate 17 + 29*a**m - 15*a**2 - 7 - 28*a**3 wrt a.\nAnswer: 3*a**2 - 30*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 741*-0.23\nAnswer: -170.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 31 + 1384\/(-40) - -3\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 4*b - 41 = 0, 4*o + 3*b - 2*b - 16 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of 0 + 1\/6*t**3 + 5\/12*t**4 + 0*t - 27*t**2. Let k(n) = 2*n**2. Determine k(w(o)).\nAnswer: 200*o**2 + 40*o + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x + 15 = -9*x. Let o(u) be the third derivative of 0*u - 1\/8*u**4 + 0*u**x + 0 - 4*u**2 - 1\/20*u**5. What is the second derivative of o(v) wrt v?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1105515 (base 6) to base 5\nAnswer: 3240303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -114*f + 111*f + 153. Let x = 57 - f. Calculate the remainder when 15 is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -2*w. Let f be (-9)\/(-9) - (2 + -16). Let q be 1\/21 - (50\/f - 3). Is w less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -100, 109, 478, 1019, 1744, 2665?\n\"Answer: 2*c**3 + 68*c**2 - 9*c - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*c - 25*c - 1614 = 2*s, -4*c + 2*s + 2154 = 0. List the prime factors of (-1)\/(5*(-4)\/c).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-3)*-8*3. Let g be (-2)\/(2 - 0) - 0. Is (-4)\/f*(-52)\/g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.6536 + -1.1536. Which is the closest to -0.4? (a) k (b) -8 (c) 0.3 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 909.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of b**4\/4 - 4*b**3 + 63*b + 62. Differentiate z(w) with respect to w.\nAnswer: 3*w**2 - 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 603\/18 - (-1)\/(-2).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 98, 0.4, -2\/7 in descending order.\nAnswer: 98, 0.4, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98568744?\nAnswer: 2, 3, 167, 24593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (5 + sqrt(5)*-1)**2)*5.\nAnswer: -150 + 55*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -17486400 to the nearest 100000.\nAnswer: -17500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*((k\/((k*k*k**5)\/k))\/k)\/k*k)\/k**2*k**2\/k**(-4\/7) assuming k is positive.\nAnswer: k**(-31\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 21452 divided by -4\nAnswer: -5363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h - 44. Let c(w) = -w - 5. Let b be c(-5). Let y be i(b). Let n = 80 + y. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 135, 137, 139, 141, 143?\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r**3 - 3*r**2 + 3*r**2 + 35733*r + 35884*r + r**3 - 1 - 72977*r + (1 - 1 + 3*r)*(-1 + 2*r**2 + 1) to g*r**3 + w + f*r**2 + o*r and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.028 (b) -588 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/36*(333 - 306)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26707 divided by 9662?\nAnswer: 26707\/9662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -4*y**2. Let a(g) = 358*g**2. Give d(a(q)).\nAnswer: -512656*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 50 = 9*y. Let j(b) = 3*b + 2 + 2 + 0*b. What is the tens digit of j(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 10 = 0, 4*n - 49 - 43 = 4*g. Let y(p) = -10 - 3*p + 3*p - p. What is the remainder when y(g) is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21871 divided by 98.\nAnswer: -21871\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -3328.30528 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(1700) + 2 - (2 + 1 + sqrt(1700))) + (-5*(sqrt(1700) - (sqrt(1700) + 2)) - (-3 + sqrt(1700) + 3*sqrt(1700) + sqrt(1700))))**2.\nAnswer: -1100*sqrt(17) + 42621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 5*q - 1973 - 127 = 0, -4*y + 2*q = -1674. Suppose y - 65 = 4*x. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10144*k + 8624 = 10760*k. Calculate the least common multiple of (9\/(-4))\/(2\/(-8)) and k.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 7*m + r = -12, -4*m = -3*r - 20. Suppose 0 = j + m*q - 12299998, -4*q - 61500004 = -4*j - j. What is j rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*p + 1565 - 725 = 38*p - 1135 for p.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7587 = -628*l - 8436 + 1579 for l.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1071 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*(a*a\/(a\/(a**(-2\/11)\/a)*a*a))\/a*a*a**(-16)*a*a*a*a assuming a is positive.\nAnswer: a**(-145\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 4*o - 20, -10 = o - 4*o + 2*m. Suppose o = -5*j + 14 + 11. What is the remainder when 9 is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1981 - (-12)\/(6 - 8)?\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2450307?\nAnswer: 3, 816769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 360624 divided by 3?\nAnswer: 120208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-8 + 7 - -7)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwxwwlwewnwwewwl. Give prob of picking 1 e and 1 l.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -1581766?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 9 = 3*x. Let j = x - 2. Suppose j*s = -5*w - 73002, -5*w + 2*s = 64512 + 8486. What is w rounded to the nearest one thousand?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 10*v - 14. Let j = -15 - -26. Let y be n(j). Calculate the highest common divisor of 24 and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, -64\/29, -1.\nAnswer: -64\/29, -1, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 45, 44, 41, 36, 29, 20, 9?\n\"Answer: -n**2 + 2*n + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 36*r**2 + 3*r + 1. Let v(a) = -a**2 - 1. What is -h(j) - v(j)?\nAnswer: -35*j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 84440110 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 4\/3 of a minute?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37 - -45. Suppose -4*z + 0 = -4*p - o, 4*p - 5*z = -10. Solve -r = -4*i - 12, 4*r + p*i + 20 = -i for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1176 and 8678652.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -82, 1, 27, 85 in descending order.\nAnswer: 85, 27, 1, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31452?\nAnswer: 2, 3, 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of k**6\/6 + k**5\/5 - k**4 - 4*k**3\/3 + 12. Factor a(x).\nAnswer: x**2*(x - 2)*(x + 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2886743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27378*w**3 + 15729*w**2.\nAnswer: -164268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.207 and 0.176.\nAnswer: 0.036432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in five quarters of a minute?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 (base 14) in base 5?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-404)\/(-480) + ((-924)\/(-288))\/(-77)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1494 and -6?\nAnswer: -0.8964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3007754009?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -155\/294378 and 139\/84108.\nAnswer: 588756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -29.85*-1688\nAnswer: 50386.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -10ab8c (base 15) to base 9\nAnswer: -1442476","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -12. Let h(b) = -b - 10. Let z be h(-12). Let k = 3\/16 + -53\/112. What is the closest to 2\/5 in z, l, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 513*a - 532*a = -7315. What is the greatest common divisor of a and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 160, 169, 184, 205, 232, 265, 304?\nAnswer: 349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 7.59614*0.2\nAnswer: 1.519228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001242 (base 5) in base 12?\nAnswer: -91a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/162)\/((-9020)\/(-8118))?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 12 = 5*k, 0*k = 4*k - 5*d - 3. What is the second derivative of 4*z + k*z**4 + 16 - 16 wrt z?\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/8)\/((10\/8)\/5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 3. Let n be (-3)\/4 + 45\/12. Suppose n*d = d. Sort k, d, 3.\nAnswer: k, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -4*w. Let k(p) = p - 3. Suppose 2*y - 40 = -6*y. Let i be k(y). Let t(l) = -86*l**i + 92*l**2 + 3*l - 3*l. Determine t(j(c)).\nAnswer: 96*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(1\/2)*b*b)**8\/(b**(-3\/2)*b**(-5))*b**(4\/5)*b**3*(b\/(b**(-2)\/b))**(-8\/7) assuming b is positive.\nAnswer: b**(2361\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, r: 1, p: 1, i: 1, m: 2, c: 5}. What is prob of sequence rp?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*5*sqrt(1900)*3)**2 + -5 + -2 + sqrt(1900) + (sqrt(1900)*5)**2)*2.\nAnswer: 20*sqrt(19) + 13774986","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 342 is divided by 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*j + 2*j - 6 = 0, 5*j = -2*r. What is the closest to -1 in -4, -0.1, r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-19)*h**(-24)*h assuming h is positive.\nAnswer: h**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5649 and 651?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 107.65 + -115.65. Let g = -3.91 - 0.09. Which is the nearest to t? (a) -5 (b) g (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3, 7, 5, -3?\n\"Answer: -3*a**2 + 13*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 752?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - 4*r - 13. Let h be n(7). What is the remainder when 18 is divided by (2 - -1) + h + -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-148)\/14 - (-15)\/(-35). Let t be -1 + (37 - (3 + 0)). Suppose 37*j + 48 = t*j. Which is greater: j or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -135*x - 11362. Give i(-81).\nAnswer: -427","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + 2*l - 10. Let n(z) = -5728 - 5709 + 11436. Give -4*n(d) + v(d).\nAnswer: d**2 + 2*d - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/7 - 11818*p**2 + 122165610*p + 855738450.\nAnswer: 2*(p - 20685)**2*(p + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3 - 18*g**2 - 33*g - 16.\nAnswer: -(g + 1)**2*(g + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/7)*q**(-1\/6))**(-22)*(q*((q**(-4)\/q*q)\/q)\/q)\/(q*q**(-1\/5))*q\/((q*q**6)\/q)*q\/q**(-5\/2) assuming q is positive.\nAnswer: q**(-1423\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84595.\nAnswer: 5, 7, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of -4*g + 0*g**5 + 1\/3*g**3 + 1\/6*g**6 + 0*g**4 + 0*g**2 + 0. What is the second derivative of m(h) wrt h?\nAnswer: 60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o + 1071 = 6*o. Let s = 471 + o. Does 6 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 279, 1093, 2455, 4371, 6847, 9889, 13503, 17695?\n\"Answer: j**3 + 268*j**2 + 3*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 739533046?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.40269 to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.021 - 21.979. Sort x, 2\/9, -0.1 in descending order.\nAnswer: 2\/9, -0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 0.054?\nAnswer: -0.0108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1005960402 divided by -9?\nAnswer: -111773378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 134022 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -111140004 - -12?\nAnswer: -111134442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 815758103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**2 + 4*v + 33. Let s(u) = -u**2 - 12. Let f(w) = 3*s(w) + t(w). Let x = 20 + -22. Let z be ((-8)\/x)\/4 - -1. Calculate f(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -103832*a**3 - 47*a**2 + 10*a + 13. Is n(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 2\/9, -0.1, -0.3 in decreasing order.\nAnswer: 10, 2\/9, -0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 16, 172, 550, 1246, 2356, 3976?\n\"Answer: 16*d**3 + 15*d**2 - d - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -l + 4. Let x be (l + 33\/(-6))*-2. Suppose 3*f = 5*m - 2 - 29, 3*m - 5 = -5*f. Put x, -5, m in increasing order.\nAnswer: -5, m, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 270487, 3\/2, -63 in decreasing order.\nAnswer: 270487, 3\/2, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s - 2*s**3 - s)*(-2882*s + 5772*s - 2888*s + 176) to the form o*s**3 + j + q*s + x*s**4 + d*s**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*y**3*z**2 + 3*y**3*z - y**3 - 2*y**2*z**2 + y**2*z + 163039*y*z**2 + 4*z**2 + 6*z - 213 wrt z?\nAnswer: 4*y**3 - 4*y**2 + 326078*y + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 - 211*g + 214*g + 1 + (g - 5 + 5)*(-3 + 0 + 2))*(0*g + 5*g - 3*g).\nAnswer: 4*g**2 + 40*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + 1 + 11 + (-45 + 25 - -56) + -9?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 401*t - 399*t = -162*m + 450, -m + 39 = -2*t for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -1262026*f. Let w(z) = 2*z**2. Give p(w(s)).\nAnswer: -2524052*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 10740?\nAnswer: -10745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0549 + -0.4451. Is m less than or equal to -41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9741933cm to nanometers.\nAnswer: 9741933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5602 - 5593. Let y(o) = -o**2 + 6. Let c be y(0). Solve -k*i = -c*i + 9 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -385 + 412. Which is the second biggest value? (a) 0 (b) 1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 174016.888 to the nearest 10.\nAnswer: 174020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8*29\/406)\/(4\/42).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209*y - 1509 = 1417 for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -25165, -25151, -25137, -25123, -25109?\n\"Answer: 14*s - 25179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.3 + -5.8. What is the closest to 6 in 0.4, -0.4, g?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(7)*2 + -6*(3*sqrt(7) + sqrt(7))**2.\nAnswer: -673 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226 = 2*d - 236 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u. Let w(q) = -9*q**2 + 7*q - 7. Let x(f) = 0 - 4*f**2 + 7 - 10 + 3*f. Let z = 4 - -3. Let v(h) = z*x(h) - 3*w(h). Determine l(v(m)).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 11:34 AM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/10)\/(74\/(-185))*-70. Let k = -2 - -12. Calculate the highest common factor of x and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1815 + 3623 - 36*r - 1808 - 13*r + 12*r.\nAnswer: -37*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5813365288\/34665 - -638\/6933. Let l = i + 166646. Let k = l + 1047. Calculate the common denominator of k and 76\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 119 - 99 = -5*y, -2*p + 4*y = -14 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18698 (base 12) to base 11.\nAnswer: -2477a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -9\/2*f**3 + 3\/2*f**4 + 0 + 0*f - 15*f**2 = 0.\nAnswer: -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 560767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 795 = 397 + 399, 0 = -4*x - 112*j + 104 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 4*y - 17 = 0, -3 + 8 = -y for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - -1. Suppose -92 = 4*x - u*x. Let l = x - 12. What are the prime factors of l?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -20\/59 or 160?\nAnswer: 160","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16\/(-136) + 5425\/17 is divided by 36?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 42 = -3*q, -3*q - 2 = m - 0. Let p be (-14899)\/423 - 2\/(-9). Let x be (0 - 4)*m\/p. Which is greater: x or 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18637871.61+0.02\nAnswer: -18637871.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -438.333 and -0.1.\nAnswer: 43.8333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 288529 = -190247. Suppose -17*p - 26025 = -i. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*m - 3*m**2 + 38*m - 5*m**2 - 81*m.\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -98. Let d = -98 - k. Which is the biggest value? (a) 5 (b) d (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.2, -175, 2\/25?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 341e (base 15) to base 5.\nAnswer: 323204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-3 + sqrt(17))**2*-2 + -3.\nAnswer: -58 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/24 - 7\/(-3). Solve -w*i + 4*b + 2 + 10 = 0, -16 = 4*b for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8780 + -8100. What is the least common multiple of 1360 and x?\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54712 divided by 27356.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + l - 1. Let p be (-3 - -8)*(-9)\/(-15). What is the remainder when i(3) is divided by ((-3)\/(-2) + p)\/((-6)\/(-8))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1066*z - 36062 - 56680 for z.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 1978024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 h, and 2 j when four letters picked without replacement from {j: 2, a: 3, u: 7, x: 1, h: 1}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17417, 139277, 470029, 1114115, 2175977, 3760057?\nAnswer: 5970797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -55038 (base 9) to base 5.\nAnswer: -2131420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**3 - c**3 - 96*c + 96*c.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**3 + 9*t**2 - 7*t - 4. Give j(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -547 + 33?\nAnswer: -514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 65 and 585.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-14)*-8 - 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-16)\/u*u\/(u*u\/(u\/(u\/(u\/(u\/u**(2\/17)))))) assuming u is positive.\nAnswer: u**(-304\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 302403915 to the power of 1\/2, to the nearest integer?\nAnswer: 17390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (2 + -18 - -18) + (1 - -3)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -333516 or -333444?\nAnswer: -333516","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 - 1. Let v(f) = -8*f**2 - 4*f - 7. Let o(j) = 3*l(j) - v(j). What is the tens digit of o(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7\/(-42) - 207713\/25794. Let p = o + -4\/1433. Find the common denominator of p and -13\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**2 - 52*n + 57. Determine v(25).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1862*n**2 - 2*n - 14 wrt n.\nAnswer: 3724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -4*h + 28, -5*h + h = -3*l - 20. Let n be (-19)\/l*(21 - 17). Calculate the greatest common divisor of n and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -49 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 4*f = -y + 6591, -f + 26319 = 4*y. Let d = y + -4076. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a century in months?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1438, -1479, -1520, -1561?\nAnswer: -1602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -7. Let d = 12 - 12. Suppose f*s = -5*p + 80, -4*p - s + 64 = -d*p. What is the remainder when p is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -8.3. Let g = y - -0.2. Let n = 0.7 - 3.7. Put 2\/7, g, n in ascending order.\nAnswer: n, 2\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1691 + -723. Let v = r + -451. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -5*p - i, 4*p = -4*i + 16 + 8 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -3*r**2 + 11*r**2 + 6*r**2. Let o(h) be the third derivative of h**4\/12 + 4*h**2 + 14*h. Calculate o(q(c)).\nAnswer: 28*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 2 - 0 - -9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2746*l**4 - 9996*l**3 - 5670*l**2 - 1159*l - 83. Let y(p) = p**4 - p + 1. Let o(h) = -3*w(h) - 6*y(h). Let o(k) = 0. Calculate k.\nAnswer: -3, -3\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2849879448?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a**3 + 4*a - 4*a + (-2*a**2 - 1 + 1)*(5*a - 5*a + a))*(-a**2 - 2*a**2 + a**2) - a**5 - 2*a**5 + 0*a**5.\nAnswer: 9*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 80b96 - 9a4?\nAnswer: 801b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - -15. List the prime factors of 1 - (4 - f) - (3 - 39).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 0, -13167, -0.1, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 59743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -26*(12\/5)\/((-377806)\/6605)?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -756 - -772. Suppose d*f = 19*f - 4*u + 11, -f - 4*u + 23 = 0. Solve 0 = f*i + 2 - 11 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.334736 decades in centuries?\nAnswer: 0.8334736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -465 = -66*q + 2*q - 29*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 213376107?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10680648*m - 1836317 wrt m?\nAnswer: -10680648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -19*x + 22*x. Let j(b) = -2*b**2 + 7*b - 1 - 2 + 3*b**2. Determine j(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4267 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 + 7751*h + 2222. Give g(0).\nAnswer: 2222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 613 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1232 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -354\/41 or 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 0, 3, 29?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -11*b**5\/20 - 5*b**3\/6 + 5*b**2\/2 - 13*b. Let i(u) = 6*u**3 + 3*u - 3. Calculate -5*i(c) - 3*l(c).\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4452545135 - 0?\nAnswer: -4452545135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 28d52 + -97?\nAnswer: 28caa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 3*b + 15 = 0, 4 = 2*x - 5*b + 1. Let p be x\/(-12) + 26\/6. Solve p = 2*d - 4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147146141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -5*m. Let g(q) = q**3 - 3*q**2 + 4*q - 2. Let n be g(3). Let z = n - 6. Let s(j) = 4*j - z*j - j. What is r(s(c))?\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -197 + 197. Let l be (-16)\/(-7) + 8\/(-28). Solve i = -c - l - 2 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1164520 (base 7) to base 12.\nAnswer: -73111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 462 - 462. Let n = -0.095 - -0.695. Which is the nearest to l? (a) 1 (b) n (c) 0.08 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - (-2 - 37)) + 2 - -1. Let t be (-58)\/(-138) + (-13)\/c. What is the smallest value in 4, t, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-10)\/8 + 2)*32. Suppose -4*o + w = 8. Put 2, -3, o in decreasing order.\nAnswer: o, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/4 + 58945171*t\/2 + 3474533184219241\/4.\nAnswer: (t + 58945171)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 178?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71, 308, 707, 1280, 2039, 2996?\nAnswer: 4163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -33.8 and 2.\nAnswer: -67.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 25 + -5 + -17 + 16. Let y be 39 - 1\/1 - 0. Calculate the highest common divisor of j and y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -148?\nAnswer: 3\/148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-20 - -3) + (-18 - -28))\/1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1044*u + 3132*u**4 - 264 - 561*u**3 + 3154*u**4 + 774*u**2 - 6313*u**4 = 0. Calculate u.\nAnswer: -22, -1, 2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 103*b**2 - 412*b - 1622. Give n(-99).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -253364 divided by -4\nAnswer: 63341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 23*r + 4. Let s(v) = -61*v - 11. Let m(q) = -3*s(q) - 8*x(q). Let l(w) = -1. What is -4*l(h) - 4*m(h)?\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 403023306 to the power of 1\/4, to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 87 - 130. Let s = -43 - x. Suppose -3*u + 11*u - 232 = s. What is the highest common divisor of 29 and u?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5895 at least -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of -z**4\/24 - z**3\/3 + 2*z**2. Let k(s) = s**2 - 8*s - 3. Let b be k(8). What is the units digit of l(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 27 + (3 - (-4 + 4)). Let a = o - -39. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yt when two letters picked without replacement from {k: 3, t: 1, y: 11}.\nAnswer: 11\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -65*f*h**2 - f*h + 2*f - 9 wrt h?\nAnswer: -130*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/12 and 296\/20*(-10)\/(-32).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -134861\/32 + 4215. What is the common denominator of y and 55\/28?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11550 divided by -3850?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 8*b**2 + 13*b. Suppose 7 = -2*y + 1, 0 = -2*i - 5*y + 3. What is the tens digit of w(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 7:19 AM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 4 = 0, -2*p + 292 = p - 5*h. Let c = 31 + -20. Calculate the highest common factor of p and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/2026960 and -7\/50674?\nAnswer: 2026960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -6 + 5 + 5*u + 13. Let l = -35 - -49. What is the lowest common multiple of f(-2) and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 398*z**5 - 9*z**4 + 2694*z**2. Let g(f) = 99*f**5 - 2*f**4 + 674*f**2. Let k(y) = 2*b(y) - 9*g(y). What is the third derivative of k(v) wrt v?\nAnswer: -5700*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*((o**(1\/2)*o)\/o)\/o)**(-40)\/(o**1)**(-15)*(o**(-1\/3))**(-2\/11)\/(o*o\/(o**(2\/5)*o))**(-1\/4) assuming o is positive.\nAnswer: o**(-3161\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) 2 (c) -146\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.045 - -0.345. Let y = 0.5 + 0.5. Put 0.4, p, y in ascending order.\nAnswer: p, 0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31068 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 2*r + 11. Let o(w) = -7*w + 38. Let v be o(7). Let h(q) = q**2 + q - 6. Calculate v*h(i) - 6*s(i).\nAnswer: -5*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 142325514?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 842?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k + 1. Let c(l) = -4*l + 2. Suppose -3*v - 2*n - 9 = -4*v, -3*v = -3*n - 24. What is v*u(d) - 5*c(d)?\nAnswer: -d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 74.70736 litres?\nAnswer: 74707.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9732.2641 rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(23\/4)\/m*m*m\/(m*(m\/((m*m**(-1\/22))\/m))\/m))\/(m**(1\/8))**(1\/21) assuming m is positive.\nAnswer: m**(12379\/1848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 v, and 1 r when four letters picked without replacement from vfjjfvor.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126 divided by -21.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(-6*2\/(-6)). Let c(m) be the third derivative of 2*m**2 + d*m**4 - 1\/6*m**3 - 1\/60*m**5 + 0 + 0*m. Differentiate c(o) with respect to o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2681 - 5409\/2. Let z = 47149\/24 + -1965. What is the common denominator of z and r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-6))\/(6\/(-18) + 3)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 12, 21, 28, 33, 36, 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*x + 1733 = 14*x - 220 for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -34423896, -68847796, -103271696, -137695596?\n\"Answer: -34423900*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25946059 divided by -4?\nAnswer: -25946059\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5a + -261a?\nAnswer: -2570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -79919489 times 0.3?\nAnswer: -23975846.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-29)\/(-3) - (-2)\/6. Let b = f - 8. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 783*z**2 - 84*z**2 + 48*z**2.\nAnswer: 747*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c - 1. Let r(w) = -4*w - 3. What is -21*o(d) + 6*r(d)?\nAnswer: -3*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**3 - 2124*r**2 + 74584*r + 76704.\nAnswer: -4*(r - 34)*(r + 1)*(r + 564)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 3. Let s be 8\/36 + (-716)\/(-18). Suppose -3*l + 8 = -0*l - 4*f, s = -5*l - 4*f. Which is the closest to t? (a) 0.5 (b) l (c) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 67*n + 300. Let c be i(-5). Are c and -363\/10 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tyy when three letters picked without replacement from {y: 2, u: 2, f: 1, t: 1, s: 4}.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1942100137?\nAnswer: 1942100137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(2\/19)\/p**4*p**(-16)*(((p*p\/(p**(-1\/4)*p*p)*p*p)\/p)\/p*p**(-2\/9)\/p)**45 assuming p is positive.\nAnswer: p**(-4837\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-96)\/168*(-14)\/4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1082, -4657, -10622, -18983, -29746, -42917?\n\"Answer: -r**3 - 1189*r**2 - r + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 272\/10 + (-3)\/15 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48547 is divided by 2078?\nAnswer: 753","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 120 = -3*t + 135, 0 = 2*t - 10. Suppose y + 2*y - h = 0. Suppose -i + 11 = -y. Is 17 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17949712961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 21372 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: What is the tens digit of 8468550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 140, 150, 174, 218, 288, 390?\n\"Answer: o**3 + o**2 + 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 8. Sort 0.03, 1, 5, h.\nAnswer: 0.03, 1, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 81 and 63?\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 0, 5*f - 3*f + 5*i = 4. Let p be 39\/2*(1 + 5). Suppose -s + f*s = p. What is the highest common factor of s and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -5*v - 56, 27*v - 255*k + 259*k = -278 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 11:48 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2. Let j(f) = f**3 + 4*f**2 - f - 2. Let d(r) = 5*a(r) - j(r). Let m be d(2). Suppose 2*h - 24 - 12 = m. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s + b - 2*b - 96, 58*b + 38 + 99 + 37 = 0 for s.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2050 is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + 6*k**2 - 7. Let q(u) = u + 33. Let f be q(-28). Give l(f).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2a05523 (base 12) to base 6\nAnswer: -501311243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1189 or 2?\nAnswer: -1189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2 - 5700*l - 1220652.\nAnswer: -3*(l + 246)*(l + 1654)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6536 - 1539. What is the thousands digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25de5 (base 15) to base 16.\nAnswer: -1d9b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 + 13 + -30 - 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2980557253.21 - 74162569.79. Let y = -3054719788.39999698 - f. Let i = y - 34.6. What is i rounded to 7 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.09904 + 0.1304. Let g = 0.3 + -0.53. Let z = g + c. What is z rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 102804*n**2*u**2*x**3 + 14*n**2*x**3 + 2595*n*u**2*x**3 + 2*n*u**2 - 2*n*x**2 + 335*u**2*x + x**3 wrt n?\nAnswer: 205608*u**2*x**3 + 28*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o. Let k(l) be the first derivative of -2 + 6 - l**3 - 1. Determine x(k(g)).\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 + 30. Suppose -4*t = -2*b - 164, -3*t + 2*t - 4*b = -23. Calculate the greatest common divisor of u and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 12 (b) -895 (c) 74\/73 (d) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24123.\nAnswer: 3, 11, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5822 - -5822. Suppose -9 = -4*p + 3. Suppose -3*a = -4*v + a - 20, 14 = -p*v + 2*a. Sort d, v, -5 in decreasing order.\nAnswer: d, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + 14*u + 50. Let t be k(-6). Suppose -2*c - 5 = -3*c, -t*c + 1159 = 3*q. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -84 + 76. Let s(o) = 10*o + 110. Let q be s(l). Calculate the greatest common factor of 135 and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174*a - 173*a + 10 = 0. Is a > -486\/53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -5. Let c = 55 - 69. Let z be (20\/c)\/((-15)\/210). Solve t*y = y + z for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 - 0.15. Let g = -0.25 + o. Which is bigger: 1\/2 or g?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 1500229 = -5*h, 3*h - 2*j = 192972 + 707159. Let a = h - 566323. Let l = a - 803722. Round l to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -3.68, 6\/19, 0?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -9110\/24093?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -0.3, 0.5, 181, -3\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1306*h**2 - 1 + 1305*h**2 + 17.\nAnswer: -h**2 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 615, 4, 5.75?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -170753*v**3 + 170746*v**3 - 75*v**2 + 152*v**2 - 77*v**2.\nAnswer: -7*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -0.168.\nAnswer: 0.0504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15994412.\nAnswer: 2, 7, 571229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 9794, -9\/5, -0.8, 1\/2, 5, -2?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 10:37 AM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3 (b) 1.7 (c) -2\/17 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35 - -35. Which is smaller: k or -2\/31?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4037318395.\nAnswer: 5, 11, 1217, 60317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 201395674?\nAnswer: 2, 59, 1706743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-8)*108\/(-90)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fn when two letters picked without replacement from jvadnffv?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 676 a factor of 699938512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4291703*c**6 - 90*c**2 - 16630*c wrt c?\nAnswer: -515004360*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (44\/6 + 4)\/((-1)\/(-6)). Suppose 3*u - 40 = d - 2*u, 2*u + a = -2*d. Calculate the smallest common multiple of 6 and (-483)\/d - 2\/(-10).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 - 3*z**2 - 3*z**2)*(-2*z + 3*z + 1 + z)*(22 - 22 + 7*z).\nAnswer: -98*z**4 - 49*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 37*c - 309. Solve -c + 2 = 3*m, -3*h = 5*m + 10 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - -25. Let v = a + -26. Differentiate -5 + 8*i + v*i - 2 - 4 wrt i.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/9*-2*(-15)\/40. What is the third biggest value in 5, 4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1966 < -16121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*o - 4*o + o)*(-3 + 2 - o**3 + 0) + (-4*o + 4*o + 2*o)*(2*o**3 + 2*o**3 + 0*o**3).\nAnswer: -8*o**4 - 16*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 257\/2 + -8737\/68. Let a = 37\/204 - k. What is the closest to -2\/7 in a, 1\/7, 1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/6)\/(5\/(-20)). Suppose 0 = a*n - 16 + 4. Let h = n + 24. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -1\/5*q**6 + 0 + 0*q**2 + 0*q**4 - 5\/2*q**3 + 0*q**5 + 12*q. What is the second derivative of w(u) wrt u?\nAnswer: -72*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.4499426 to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -467*o - 14965. Let w be z(-81). Calculate the highest common divisor of w and 142.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*r = -4*a - 55*r - 20, -3*a + 0*a + r - 9 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y - 5*y + 21 = 29*v + 3*y + 109, -4*v + 4*y - 8 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11174441 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -44*v**2 + 878*v - 10. Let g(t) = -25*t**2 + 438*t - 6. Give -7*g(u) + 4*j(u).\nAnswer: -u**2 + 446*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - 6*a - 1. Let t be s(7). Let u(x) = -9 - 5 - 3 + 3 + 2*x**2 + x + 1. List the prime factors of u(t).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2 - 3*n + 15 - 8 - 9 - 5*n**5 + 4*n**5 + 4*n**3.\nAnswer: -(n - 2)*(n - 1)*(n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3*o**3 + o**2 + 2*o + 1. Let i be u(-1). Suppose 0 = 3*y + 15, -d = -0*d - 4*y - 23. Let k be (4\/d)\/(1\/3). Sort k, i, 5.\nAnswer: i, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 240140936\/3897 + -61622. Let s = -113029\/31176 + f. What is the common denominator of s and -13\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5931098, 3\/4, -6, -2 in ascending order.\nAnswer: -5931098, -6, -2, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n + 16. Let t be m(-8). Let d(v) = v**3 + 2*v**2 - 1. Let j be d(1). Let q be j\/(-6) - (-14)\/6. Sort q, 4, t in ascending order.\nAnswer: t, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 1157 = 1117 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 280 and 324968.\nAnswer: 1624840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t. Let j be c(-4). Suppose j*r = -8 + 24. Let s(o) = -3*o - 20. Let d be s(-8). Solve -2*h + 8 = r*u - 0, 2 = u - d*h for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 0*s + 4*g = -476, 3*s + 739 = -g. Let v = s + 251. Solve 3*n + 11 = 2*l - 11, -l - 7 = v*n for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8 + 291 + -9 + 9. Calculate the highest common divisor of 377 and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 + 266*s - 135273. What is z(258)?\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 21*i**3 - 2*i**2 + 4*i - 2. Let z be h(2). Let g be (-5)\/(-30) - z\/(-12). Solve -3*w + 14 = -2*q, -2*w + g = 3*w - q for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5433a (base 11) to base 13.\nAnswer: 29c0c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 149*h**2*x**2 + 108*h**2*x - 18*h*x**2 + 47*h - 13*x**2 + 2*x wrt h.\nAnswer: 298*x**2 + 216*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.7 - -2. Let v = c + -0.1. Suppose 0 = 5*a + 25, 0 = -2*b + b + 4*a + 23. Put b, v, -3 in ascending order.\nAnswer: -3, v, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o*o*o\/(o\/(o*o\/o**(11\/2))))*o*o*o**(-2\/3)*o*o*o**(-4\/11)*o*o*(o\/o**(-18))\/o assuming o is positive.\nAnswer: o**(1681\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -5*q**3 + 3. Let k(v) = -4*v**3 + 4. Determine -4*k(u) + 5*z(u).\nAnswer: -9*u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5607664 is divided by 2898?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.41 - 0.4. Let t = s - -0.99. Sort 0.1, -1\/2, t in increasing order.\nAnswer: -1\/2, 0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + c = 0. Suppose d + 4*d - 10 = c. Suppose -2*q = 4*s - 18, 0 = 4*q + 4*s - 13 - 7. Sort d, q, 0.\nAnswer: 0, q, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003566710756 rounded to 7 decimal places?\nAnswer: -0.0003567","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1438291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 26794 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - g + 221 = 3*t, 217 = 3*t + 5*g. Let p = t + -49. Calculate the common denominator of -41\/8 and 1346\/180 + (-5)\/p.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g. Let w(n) = -3*n + 1533. Let h(i) = 5*i - 2309. Let x(j) = 5*h(j) + 8*w(j). What is x(t(m))?\nAnswer: 2*m + 719","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-114)\/(-22) - (-2)\/66*-6. Suppose 2*p = p - t + 6900003, -2*t + 34500006 = b*p. What is p rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 5 = 6*g - 3*g, -14 = 2*g - 4*r. Let p be 12\/g - (-3 + 2). Let o be 1\/(-8)*-6 + ((-6253)\/(-52) - 4). What is the highest common factor of p and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162)\/sqrt(81))\/(sqrt(144)*3).\nAnswer: sqrt(2)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 11:25 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 5*l**2 + 24*l + 6. Is z(-8) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -60 - -64. Solve q = -h - 5, o*h + 2*q - 3*q = -10 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 435*b + 11486*b**2 + 404*b - 839*b.\nAnswer: 11486*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5355102667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5777430 and 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -46 at most as big as 220\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 905821.2 nanoseconds in seconds?\nAnswer: 0.0009058212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-42)*(-23)\/(2484\/(-405))\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 1, 0.08, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135202 is divided by 44886.\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - q**2 + 141. Let r(m) = -33 + 22*m + 9 - 17*m + 10*m. Calculate the remainder when v(0) is divided by r(4).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 210 and 48020?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -21?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-60)\/(-70))\/(3\/(-21))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1025 - 855. Is 10 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3057\/4 + 769. Find the common denominator of k and 59\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5372470 and 0.13.\nAnswer: -698421.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q\/q**(4\/9)*q**(-8)\/q*q*q\/(q\/(q\/(q**(2\/9)*q)*q))*q*q*q**(1\/16)\/q*q*q assuming q is positive.\nAnswer: q**(-125\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 642 (base 13) to base 11\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -7*g + 136, -2401*v + 4*g - 72 = -2403*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 893.56392 milliseconds to hours.\nAnswer: 0.0002482122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 20 = -2*o - 0*o, -90 = -5*v + 5*o. Let h = 8 - -20. What is the remainder when h is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 316 a factor of 854148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2179 - 359533\/165. Let q = r - -487\/660. Let i be (-24)\/(-10) - (-2)\/(-5). Is q < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 344194 (base 13) to base 12\nAnswer: 4b7b81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 3*n**2 + 3*n - 2. Let a be c(2). Is 20 a factor of (-238)\/(-6) + a\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.608*0.069477.\nAnswer: -0.042242016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6369780 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199479076.\nAnswer: 2, 49869769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69113648?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -74? (a) 3 (b) -1 (c) -2.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23*u - 14*u**2 + 23*u + (-u + 2*u + 0*u)*(-u + 0 + 0) + 8*u**2 - 8*u**2 - 2*u**2 - 2*u**2 - u + u - 13*u - 6*u**2 + 13*u.\nAnswer: -25*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5952 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2*(1 - 6\/9*-12)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12011 - 2222342?\nAnswer: -2234403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 302497598?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3168.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 5 = -c - 3*m, 0 = 3*c - 2*m - 12. Is 10\/((c\/179)\/1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 364, 353, 318, 247, 128, -51?\n\"Answer: -2*l**3 + 3*l + 363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 4*x + 2. Let h be j(2). Let l be (-2)\/(0 - 1) + -1. Let z = l + 14. What is the highest common factor of z and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408608 to the power of 1\/3, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 12, -3\/301, 3\/4?\nAnswer: -3\/301","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -34 + 18 + -1 + 26 + -1?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.18 minus 1171.8?\nAnswer: -1166.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 157799671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-1 + 7 - (94 - 75)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (142\/(-3))\/(4\/12). Let k = j - -1564\/11. Which is the third smallest value? (a) -1 (b) -2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k = -22*k - 14. Let q be k - (-30)\/5*1. Let a(l) = 21*l + 24*l - 42*l + q. What is a(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 27094 and -12.8?\nAnswer: -346803.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of -61*x**2\/2 - 2*x - 5. Suppose -4*i - 2*m = 0, 0*i + 2*i = 2*m - 12. Does 30 divide f(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 - 17. Is -2*(k + (-777)\/6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1401 - 1358. Calculate the remainder when b is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 4*d**2 + 7*d + 11. Let o be f(-5). Suppose o = -k + 3*m - 2, -2*k + 3*m = -3. Is (-2 - k\/(-4))*-52 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -127?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3123 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 n(h) = h**3 + 8*h**2 + 6*h - 6. Let k be n(-7). Let q be k\/(-2) - (-5 + 3). Factor -p**2 - q*p - 1\/2.\nAnswer: -(p + 1)*(2*p + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3*p**2 - 18*p + 23. Let s be u(17). What is s rounded to the nearest one hundred?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away 0.12207?\nAnswer: -0.02207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/10 (b) -198 (c) 5 (d) -1.278\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 2. Let k(s) = 3*s**3 - s**p + s**3 - s + 0*s. Determine k(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29043660 - -9279071. Let c = -38322491.99903 + y. Let f = 239 - c. Round f to 4 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 5*x**2 + 6*x - 5. Let m be o(4). Let r be 5 - 1 - m\/3. Factor -k**3 + 3*k - r*k - k**2.\nAnswer: -k**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - 6 - (-11 + -4 - 0).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 5*m**2 + 5*m - 2. Let k be f(-6). Let g(x) = -k + 8 - 5 - 10*x**2. Calculate g(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvvv when four letters picked without replacement from {o: 7, v: 5}?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -5*f**2 + 11*f + 16. Let z(q) = -3*q**2 + 6*q + 8. Give -4*c(m) + 7*z(m).\nAnswer: -m**2 - 2*m - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 7*d + 353. What is the remainder when g(-31) is divided by 71?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -306674784 divided by 288.\nAnswer: -1064843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -62*m**3 - 17*m**2 - 31. Let s(r) = 21*r**3 + 6*r**2 + 10. Give -6*l(f) - 17*s(f).\nAnswer: 15*f**3 + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 227285.\nAnswer: 5, 131, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3256?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s - 5751425 + 5751425.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 8*y + 3*h - 79, 3*y - 5*h = 128. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 a when two letters picked without replacement from {z: 2, w: 1, a: 3, h: 1}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -575016517 minus 150?\nAnswer: -575016667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 17*z - 23 = -15*z, 3*i - 9 = 6*z for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -35*x**2 + 8*x - 42. Let a be p(4). Let t = a + 915. Is t a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.67841408 to 3 dps.\nAnswer: 2.678","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 37282350.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v**3 + v - 7*v + 0*v - 2*v**2 + 5*v in the form w*v**2 + g + r*v**3 + p*v and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, q: 3}. Give prob of picking 3 q and 1 m.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 2*d**2 + 8*d - 10. Let z be y(-5). Suppose z + 46 = h. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 18314 = 7*t - 3*t, -4*t + 4*m + 18304 = 0. Is 21 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of 3*i**5\/20 - 3*i**4\/4 + i**3 + 4*i + 3. Let l(f) be the first derivative of w(f). Factor l(y).\nAnswer: 3*y*(y - 2)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 201 and 134?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 49468037?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*k - 6*k + 586965*k**2 + 87542*k**2.\nAnswer: 674507*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6*(9 - 11)*3\/2. Let y(l) = -5*l**2 - 3*l. Let x be y(-2). Which is bigger: i or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.07 + -0.62. Let v = b - 0.4476. Round v to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2902 - 0.29. Round y to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 58728, -5, 464 in descending order.\nAnswer: 58728, 464, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 361.48 rounded to the nearest ten?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -16*(-48)\/1280*(-10)\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c + 5. Let w = -8 - -3. What is the remainder when 39 is divided by s(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(((-8)\/7)\/((-26)\/91)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 21 = -9*s. Let r be (-5 + 105\/s)*-1. Solve -5*g + 6 = r for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5559?\nAnswer: 3, 17, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 332723.17 rounded to the nearest one hundred?\nAnswer: 332700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35504.\nAnswer: 2, 7, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, -41 in decreasing order.\nAnswer: -2, -5, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 584205 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 + 100102011120?\nAnswer: 100102011211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3 - 969*m**2 + 42870*m + 186792.\nAnswer: -3*(m - 43)*(m + 4)*(m + 362)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 97033*n - 48454*n - 48411*n - 3. Let g(h) = 2*h. What is q(g(l))?\nAnswer: 336*l - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -12, -0.1, -4\/19?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**3 + 4 - 4)*((-11 - 1 + 3)*(4 - 1 - 2)*(-3 + 5 + 0)*(-2 - 4 + 16) + 1 + 4 - 2).\nAnswer: -354*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 4*b. Let j(a) = 37*a - 11*a - 21*a. Give z(j(i)).\nAnswer: 20*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240*t + 43784996 = -3*s + 241*t, -2*s - 3*t = 29190012. What is s rounded to the nearest 1000000?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7 + 1\/(8 - 9). Which is the closest to q? (a) -0.3 (b) -0.2 (c) -0.5 (d) 0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33747869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28486, -28483, -28476, -28465, -28450, -28431, -28408?\nAnswer: -28381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeecoecscceseee. Give prob of picking 1 c, 1 e, and 1 o.\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21.98 - -22. Suppose 141 = f + 140, 3 = -5*w + 3*f. What is the nearest to w in 0.4, -5, p, -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33771883 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27010 and 2?\nAnswer: 27010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + (-3)\/((-9)\/6). Let y(v) = -3*v + 3*v - 6*v**2 + 12*v**f. Let d(k) = -2*k. Give y(d(c)).\nAnswer: 24*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.337 + -111.1?\nAnswer: -123.437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.04 + 0.15. Let o = -0.99 - p. Let s = -1.10024 - o. Round s to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1053*b**2 - 2239*b + 1.\nAnswer: 2106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (4 - -3) + -2 + -8 + 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 166 and 415?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -10*n + 29. Let p be v(3). Let w(c) = 25*c**2 - 5*c - 4. Let g be w(p). What is the greatest common divisor of g and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = -15*j - 60, 4*j = -1213656*n + 1213661*n - 35 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 - 28 = 3*g - b, 4*g - 6*b = 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) - (sqrt(396)*-1)**2) + 5 + (1*sqrt(396))**2*-6 + (1*(2 + (1 + sqrt(396) - sqrt(396)) + sqrt(396) + sqrt(396)))**2.\nAnswer: -1174 + 78*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 38927*w. Let j(l) = -3*l**2. Calculate j(f(o)).\nAnswer: -4545933987*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 433 - 58. What is the remainder when p is divided by 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28266 and 52494.\nAnswer: 367458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 460770, 921505, 1382240, 1842975, 2303710?\nAnswer: 2764445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01905 - -0.86.\nAnswer: 0.84095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(1\/2)\/t)**(6\/17)*t**2\/t**(-1))\/((t\/(t\/t**(-6)))\/t**(-6)*(t*t**(-1))**25) assuming t is positive.\nAnswer: t**(54\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 850 - 481. What is the highest common divisor of x and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1801309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*y - 3*t, -23 = 5*y - 0*y + t. Let z(v) = 2*v - 3*v + 21*v**2 - 28*v**2 + 6*v**2 + 0*v - 2. Let a(h) = -2*h**2 - h - 3. What is y*a(o) + 5*z(o)?\nAnswer: 3*o**2 - o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -166540978 times -4?\nAnswer: 666163912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 159820406 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t - 1. Let p = 8 - 8. Suppose -a + p*a + 5 = 0. Suppose -3*k = -r + 6*r + 10, -a*k - 2 = r. Determine y(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - z**2 - 9*z + 4. Let x be u(0). Find k, given that 12*k + 16\/3 - 3*k**x - 4\/3*k**2 - 13*k**3 = 0.\nAnswer: -4, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38545\/14 + -2756. Let s = -518\/5 + 104. Calculate the common denominator of s and f.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 143525466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 57 = -39. Suppose -4*u - 3*m + 75 = 0, 4*m + a - 143 = -5*u. What is the remainder when u is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*l - 16*l + 88950 = 0. Is (l\/(-90))\/((-10)\/(-9) - 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 33*h - 28*h = 23, 4*g + 13 = -h for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 0*b - 4*z - 34275 = 0, -171421 = -5*b - 3*z. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-3\/8))**26)**(2\/13) assuming o is positive.\nAnswer: o**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 2061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20215 is divided by 321?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4267 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 5 = t, 3*w + 0*w - 4*t = -12. Let r(h) be the second derivative of -h**5\/20 - 7*h**4\/12 + 2*h**3\/3 - 3*h**2 - h. What is the units digit of r(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24422011 + -1?\nAnswer: 24422010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - o = 2, 3*d + 0*d - o = -4 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 4*u. Let o(p) = 4*p - 1. Let d be o(1). Let b(s) = -s**3 - 9*s**2 - 7*s + 10. Calculate the smallest common multiple of b(-8) and x(d).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2958555*g**4 - 649498*g**2.\nAnswer: -71005320*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1927 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*n + 3*c, 3*n - 6 = -2*n + c. Find the second derivative of -20*d - 4*d + 6*d - 22*d**n + 9*d**2 wrt d.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -289*k - 164. Let h(b) = -577*b - 325. Let g(y) = 3*h(y) - 7*w(y). Find the first derivative of g(x) wrt x.\nAnswer: 292","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -154.7721 - -0.6621. Let y = 153.96061 + j. Let d = 0.15 + y. Round d to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 58*i**2 - 256*i - 453. Let x be 2\/(-8) + 7\/28. Suppose x*z - 96 = -3*z. What is the lowest common multiple of q(53) and z?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -111*f + 120*f - 36 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 283*g + 8137. Give c(-34).\nAnswer: -1485","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -84.6 - -70. Let d = p + 14. Let o = 0.9 + d. Which is the smallest value? (a) 3\/5 (b) o (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 304027, 304049, 304071?\n\"Answer: 22*p + 304005","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1305 (base 7) to base 8\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -49 in -1, -0.3, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91490.\nAnswer: 2, 5, 7, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2962 and 4871009.\nAnswer: 1481","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-46202)\/(-7) - 8\/28. What is z rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**2 + a. Let w(u) = 11*u**2 - 6*u. Let f(v) = -6*b(v) - w(v). Let q(d) = -8*d**2. What is f(q(j))?\nAnswer: 64*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - 6 - ((-2 - -1) + -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10664.569 + 10670. Let p = -0.431 + r. Let t = -7 - -11. Which is the biggest value? (a) p (b) t (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8354?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/3020 or 0?\nAnswer: -7\/3020","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 4, -4*n - a - 18 = -0*a. Let d be (n\/(-3))\/(2\/3). Suppose -5*p + 4*c = -36, -d*p - 3*c = -p + 8. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of 0*j**3 + 0 + 1\/3*j**4 + 1\/5*j**6 - 5*j + 0*j**5 + 0*j**2. Find the third derivative of g(t) wrt t.\nAnswer: 144*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 8*z**3 + 45*z**2 - 25*z + 1. What are the prime factors of u(9)?\nAnswer: 19, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 u when three letters picked without replacement from {y: 2, a: 4, u: 2, r: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 3.3 (b) -2 (c) -4\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5852083019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.11 + 38.79. Let j = k + -44. Which is the closest to j? (a) -3 (b) 0.1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 20.88259 decades?\nAnswer: 208.8259","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + 46 + (-4 - (17 - 51))?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26 - -26.000099. What is d rounded to five dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g - 28*g + 10*g + 11*g + g + 7*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-34 - -10)\/(-4) - (2 + 11). Suppose -2*j - 12 = -5*j. Put 1, j, -4, p in increasing order.\nAnswer: p, -4, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -3*j**2 - 3*j + 2. Let w be r(2). Let q(u) = -3*u**2 + 19*u + 8. Let o(k) = 5*k**2 - 20*k - 8. Let l(g) = -2*o(g) - 3*q(g). Is 4 a factor of l(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/20)\/(9\/15).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 471926?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*1*(-572)\/(-44)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 158 = -3*f - 5*b, 2*f - 2*b = 108. Let x = -37 + f. Suppose -38 = -m + x. What are the prime factors of m?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4 = 4*g, -4 = -4*g - 5*i - 6. Suppose 0*x + 60 = 3*x - 5*w, w = -g*x + 40. What is the least common multiple of 184 and x?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of -177\/20*b**5 + 85*b**2 + 0*b**3 - 1\/8*b**6 - 35\/4*b**4 + 0 + 0*b. Find w such that c(w) = 0.\nAnswer: -35, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-26)\/42 - (-4)\/14. Which is the third smallest value? (a) 1\/5 (b) v (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 4) to base 2\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 18\/5 - 48\/80. Suppose -3*h + a = y, -4*y = y - 4*h - 53. Suppose -y*s + 6*s + 96 = 0. Calculate the highest common factor of s and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19970*d**3*s + 7*d**2*s + 35*d**2 - 2*d*s - 3 wrt d.\nAnswer: 119820*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2 + 241376*t - 3641398336.\nAnswer: -4*(t - 30172)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, b: 11, e: 5}. What is prob of picking 1 b and 3 e?\nAnswer: 11\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1151, -2266, -3381, -4496?\nAnswer: -5611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 536*-0.07.\nAnswer: -37.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eezeezeezz. Give prob of picking 1 z and 1 e.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-175 - -158) + (0 - -12) + (1 - 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 5*i**3\/4 + 10415*i**2\/2 + 393505*i\/4 - 476905 = 0.\nAnswer: -4147, -23, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 27*c**2 - 123*c - 27. Suppose -12*k = 8 - 380. Let t be r(k). Solve t*z = -13 + 1 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10443 = -642*v + 2862*v - 51717 for v.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -148352 and -147947 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 0.0614?\nAnswer: 0.2456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -3*c**2 + 6980784*c - 4060945437888 = 0.\nAnswer: 1163464","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 125734?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 16) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rpsrnko. What is prob of picking 1 n and 1 p?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 - -1) + (-107 + 170 - 46)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 234 divided by -234\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 113211, 113212, 113213?\nAnswer: 113214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1164614 is divided by 137.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 3, -5, 4, -887226 in descending order.\nAnswer: 28, 4, 3, -5, -887226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jwjww. What is prob of picking 2 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (-96)\/12 + 1 - (4 + -11 - -17)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 70 = 5*y, 4*y - 64 - 23 = 3*f. Suppose 0 = x + i + y, -x + 4*i = 20 + 8. Let h = x + 32. 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: Let a be 6\/4*((-7)\/(-3) - -1). Solve 0 = j + a*g - 25, 4*j - 2 = -2*g + 8 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1119*r**3 + 1246*r**3 - 988*r**3.\nAnswer: 1377*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + 3*q**2 - 2*q - 3. Let c be r(3). Let v = c + -32. Suppose -t + 4*m = -30 - v, m = t - 40. What is the greatest common factor of t and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j + 32. Let t be r(-15). Let a(o) = o**2 + 5*o**2 - 3 + 6*o**2 + 0*o**t + 4*o. What is the tens digit of a(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 389219 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.0439 or 0.01569?\nAnswer: 0.01569","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01345 to 4 dps.\nAnswer: 0.0135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 5*w + 2 - 7 = 0, -4*c - 5*w - 41 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*h**3 + h**2 - 49619*h - 855341 wrt h.\nAnswer: -15*h**2 + 2*h - 49619","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 3) + (6 - 11 - -5).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52378?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.1 + -7.4. What is the biggest value in q, -4, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 223 from -0.0671229.\nAnswer: -223.0671229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-13)\/(-26)*(0 - -344). Suppose -4*j = -0*j - r. What are the prime factors of j?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24804 and 6084.\nAnswer: 322452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3032 (base 6) to base 12.\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -13207930 rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/2)\/(1\/(-4)). Let y = 30 - 27. Let h = y - w. Calculate the greatest common factor of 5 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b = 12*b + 87. What is the remainder when b is divided by 46?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -97\/30, 4, 1, 5, -10?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, l: 1, g: 4, q: 3, u: 1}. Give prob of sequence bluq.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -25, 1\/6, 2\/745, 0.3 in descending order.\nAnswer: 0.3, 1\/6, 2\/745, -0.3, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/16)\/((-137)\/(29592\/5130))?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/20)\/g)**(-3) assuming g is positive.\nAnswer: g**(57\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.5, -2\/7, -0.5, -0.103, 2\/7 in decreasing order.\nAnswer: 2\/7, -0.103, -2\/7, -0.5, -3.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 85, -1\/2, 1, 123, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3686 rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -95, -4 in ascending order.\nAnswer: -95, -5, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2655496 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 797038541?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of -5*m**4\/24 - m**3\/6 + m**2. Let k(t) = -11*t - 2. Let j(g) = -3*k(g) + 7*x(g). Does 17 divide j(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/6462834 and -145\/10155882.\nAnswer: 71091174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 + 4*g + 2. Let k be x(4). Suppose -3*z = k*z + 195. Is 20 a factor of (-2256)\/z + (-2)\/(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50290360.\nAnswer: 2, 5, 251, 5009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 61 and 74908?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000404885 to 6 dps.\nAnswer: 0.000405","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, h: 1}. Give prob of picking 1 h and 1 z.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*g**2 - 5612*g - 35*g**2 + 5610*g - 372 to p*g**2 + z + h*g and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2011 - 0.0989. What is the third biggest value in -4, x, 0.5, 2\/65?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = 5*s + 5*h + 24, -8 = 5*s - 3*h for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = -8*u - 2*t - 31, -u + 20*t + 293 + 272 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (4 - (3 - -3)) + 3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8305942.\nAnswer: 2, 4152971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 18518001 to the power of 1\/2, to the nearest integer?\nAnswer: 4303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -91055893 divided by -239\nAnswer: 380987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 0.2, -3359, 139?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 606 = -4*v + 2*v, 2*v + z = 607. Solve -b - v + 299 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*t = -4843 + 4953 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2550 and 360825?\nAnswer: 1275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22*y + 4*y - 11*y)*(4 - 2 - 1) in the form d + j*y and give j.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -4*a - 5. Let t be b(-2). Solve -t*h = -0*y + 4*y - 14, 2*y - 12 = h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, 0.5, 195, -0.4 in decreasing order.\nAnswer: 195, 4, 0.5, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -3*a - 42, -19*a + 3*n = -15*a + 34 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 929*f + 3806. Let y be q(-4). Solve -91*z = -y*z - 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*c = -614 - 34. Let u(t) = -32*t - c*t + 65*t. Let o(h) = -14*h. What is u(o(x))?\nAnswer: 42*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(612)*3 + 1)**2)*6.\nAnswer: 216*sqrt(17) + 33078","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2269 + 2246.78. Round s to one dp.\nAnswer: -22.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10a - 2?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y**4 + 24*y**3 + 4*y**2 - 24*y = 0 for y.\nAnswer: -1, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 493738 or 390?\nAnswer: 390","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.954? (a) 1 (b) 4 (c) -4\/5 (d) -1.3 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.13 - 6.87. Let t = x - -6.85. Let j = -0.05 - t. Is 2 at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -8. Solve -c - u = -0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + ((-54)\/(-2) + 18)*(-2)\/(-10)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.11186309 and 2.86012.\nAnswer: 2.74825691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 1. Is 4932\/b - 1\/5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - r)*(0 + 3*r + 0) + (4 - 4 - 2*r)*(2*r + 0*r + 0*r) + 208 - 13*r**2 - 208.\nAnswer: -20*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ncnhynnnhnnhhcyhnh. Give prob of sequence nnnn.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 3, 2\/17, 2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.051 - -42.949. Let j = -4604 + 4560.901. Let q = v + j. What is q rounded to 2 dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 5*n - 2. Let v = 24 - 30. Let g be w(v). Find the second derivative of -7*b**4 + 0*b**g + 10*b - 2*b**4 + 5*b**4 wrt b.\nAnswer: -48*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/11)*b*b*b**(-3\/4)*b)\/(b*(b*b*b**2)\/b)**(1\/55)*b*b**6*b**6*(b*b\/(b\/(b**(-1\/2)*b)))**33 assuming b is positive.\nAnswer: b**(14269\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 6:11 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.265, -3\/23, 5, -0.8, -4?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3569 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 393 + 400 - 793 + o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5*f = 4*z - 2, -5*z = 3*f - 16. Suppose -5*i + 140 = -5*x, -2*i = 2*i + f*x - 106. Solve 30*k = i*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 4. Let y = 6 + -6.5. What is the third smallest value in 0, y, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28079601*a**2 - 16618007 with respect to a.\nAnswer: 56159202*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + -2. Let s be 3 + a\/4*-34. Solve 6*q + s = q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + x = -4, -12 = -b - 3*x - x. Let f = 1 - b. Suppose -f = -2*z - 3*z. Solve 0 = 4*w - 5*d + z, 3 = -4*d + 7 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = 3*u - 0*u - 25, -k - 5 = -2*u for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 + -1347.\nAnswer: -1346.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -23*l - 31. Let o be n(-5). Let b be o\/(-16) - (-7 + 1). Let g = -11\/4 - -37\/12. What is the nearest to 1 in 3\/26, g, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 24 + 1232067?\nAnswer: 1232113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -48270 to the nearest one thousand.\nAnswer: -48000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j + 28. Let c be (-7)\/(63\/(-2))*9. Let d(b) = -2*b**3 + b. Let m be d(c). List the prime factors of r(m).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-980)\/60*(-30)\/(-35)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 664.199887 - 664.2. Round d to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -256 divided by -2.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-13) + (-10488)\/(-2964)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of 185*o**3\/6 - 3*o**2\/2 - 398*o. Let u be 16\/(-6)*3\/(-2). Is y(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 12 = -2*b. Let z = 5 + b. What is the third biggest value in 0.3, 4, z, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (2 + (2 - -6))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 19*u + 58. Let z be v(-3). Which is smaller: -1\/11 or z?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2071*f**6 - f**2 + 39*f wrt f?\nAnswer: 248520*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 31125 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1788)\/(-2145) + (-4)\/(-22). Let o = -8\/13 + m. Which is the smallest value? (a) 2\/29 (b) 4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2*d + 5 = 0. Is ((-4)\/d)\/(4\/290) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 3*h**2 - 5*h + 6. Determine o(5).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -8*o + 5*u + 30, 0 = -3*u - 6 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of 3\/2*u**2 - 1\/12*u**4 + 0*u**3 + 0 - u. Find the first derivative of d(c) wrt c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 668, 631, 562, 455, 304, 103, -154?\n\"Answer: -o**3 - 10*o**2 + 679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -46 + 55. What is the smallest common multiple of u and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*z = 15*z - 3*f - 3, z + 5*f = -5 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41.33692mm to micrometers.\nAnswer: 41336.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 4 - 16. Let l be 32 - 34 - (-2 + -3). Suppose -w + l = -q. Does 5 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1\/7 (b) 32\/5 (c) -4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.12, -3, -18\/107 in ascending order.\nAnswer: -3, -18\/107, -0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -2\/2617677?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 896*i**3 - 8*i**2 - 9*i. Calculate d(-1).\nAnswer: -895","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (-5 - (12 + -12)) + (-145 - -56).\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 225977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddllwddllddldddcwwwd. What is prob of sequence wwd?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -3 + 188*s - 5 + 4 - 760*s. Let g be t(-7). Round g to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qzac when four letters picked without replacement from {c: 1, q: 1, z: 1, i: 1, a: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2585 a factor of 76177365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 2933\/3141?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (36\/24)\/((-2)\/(-12)). Suppose v*p + 8847623 - 37287623 = 0. What is p rounded to the nearest one hundred thousand?\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 94 and 517.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -39382 divided by -1\nAnswer: 39382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 17553*u + 824993. Give j(-47).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40 - (-34 - (-28)\/1)) + 96.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 2 (b) 14 (c) -2.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-15\/2)*d*d**(-25)*d*d)**38 assuming d is positive.\nAnswer: d**(-1121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -805 and -78.\nAnswer: 62790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 654 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 234749?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j - 13. Let m(a) = -a + 14. Let x(r) = -4*g(r) - 3*m(r). Let i be x(5). Suppose 0 = 4*l - i - 3, 2*p + 1078 = -l. Round p to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 791 is divided by 161.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jc when two letters picked without replacement from {j: 1, f: 2, k: 1, u: 2, n: 1, c: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 5 = 3*p + 3*l, 10 = -4*p - 2*l for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 191253000?\nAnswer: 2, 3, 5, 37, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/3, 4, -114\/7?\nAnswer: -114\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d*x**2 - 3*d - 56*x**5 + 32*x - 2 wrt x?\nAnswer: -2*d - 1120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 54, 0, -3\/5, 2\/25, -0.3?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 3*i - 4. Let w be k(-5). Let l = w + 24. Let j(m) = 3*m + 1. Let n(g) = 4*g + 1. Determine l*n(v) - 6*j(v).\nAnswer: 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - 148a113?\nAnswer: -148a111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + 7. Is (a\/(-6))\/((-6)\/4264) - -1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/(-96))\/((-55)\/(-7590)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g + 2. Let y be b(-2). Suppose 7*a - 14*a = -14. Solve -5*x + 25 = y*p, a*x = -5*p + x + 5 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26909b8 (base 13) to base 16.\nAnswer: b93e41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.0080391 or 1\/38?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -10, 3, 61, -35, 5 in decreasing order.\nAnswer: 61, 5, 3, -1, -10, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 57 + -41. Let m = -16 + t. Let l = 0.26 - 0.36. What is the nearest to l in 0.4, -1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -922*d - 1483*d = 712*d - 216*d + 121842 for d.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 10, 0*g + 10 = 3*g + s. Suppose -6 = 4*i - g*v + 1, -i = 5*v + 33. Are i and -9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**1*f)**(-16\/5)*f\/((f*f*f**(-6)*f*f*f)\/f)*f**6*(f**5*f**(-2))\/(f*f**(4\/5)\/f*f*f*f**(2\/3)) assuming f is positive.\nAnswer: f**(-64\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (21112\/319)\/14 - 9\/(-33). Which is the fourth biggest value? (a) i (b) -5 (c) -3 (d) -33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111001 (base 2) in base 15?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 4250.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -1091\nAnswer: -1086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p**3 + 2*p**3 + 7*p**3 - p**3 - 3*p**3.\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15 and 78804.\nAnswer: -1182060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.4 - 0.37. Let u = 0.0255 - j. Round u to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 - 2348\/(-12)) + ((-156)\/13)\/(-36) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1006113*-7.\nAnswer: 7042791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 35*r - 275. Let i be d(8). Solve 3*c = 3*o - 0 + 6, -i*c - 30 = 3*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*((-5 + 3 + 0)*(-1 + 3 + 0) + 7 - 1 - 4)*(0*l + 0 + 1 + 2*l + (31*l + 62*l - 71*l)*(-2 + 4 - 5)).\nAnswer: 128*l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1241104 - 2?\nAnswer: -1241110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a centimeter in micrometers?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 9*v**2 + 8*v + 719. What is the tens digit of b(-44)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of n**7\/168 - n**6\/60 + n**5\/80 + 26*n. Factor y(s).\nAnswer: s**3*(s - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 14. Suppose 3*y - 95 = -20. Let j = y + -29. Put 3, p, j in decreasing order.\nAnswer: p, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of -o**6\/360 - 2*o**5\/45 - 13*o**4\/72 - o**3\/3 + 28*o**2 + 2. Let z(i) = 0. Calculate i.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 78.3 - 84.48. Let s = -6.180004045 - g. What is s rounded to 7 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-9)*((-720)\/(-25))\/12. Which is the nearest to -14? (a) -3 (b) w (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9417?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m + 4*m - 3*m)*(4 - 3 - 2 - 1 + 0 + 2 - 5 - 1 + 4 + 0 - 1 + 0 + (2 - 2 - 1)*(-1 - 2 + 4) + 0 - 3 + 4 - 1 + 1 + 2).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 0.271, -71\/67, 0.5?\nAnswer: 0.271","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39172, -79090, -119754, -161164, -203320?\nAnswer: -246222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.11, 470, 5?\nAnswer: 470","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -3, 0.1, -1.2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + q + (5*q - 6*q - q)*(4 + 0 + 3).\nAnswer: -13*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20694 is divided by 75.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51615605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3*z**2 + 267*z - 541. Give w(-91).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of u**6\/360 + u**3\/2 + 6*u**2. Let x(z) be the first derivative of c(z). Let a(p) = -14*p**2. What is a(x(b))?\nAnswer: -14*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -13*1\/((-3)\/3). Suppose 3 + s = u. What is the remainder when u is divided by (2 + (-16)\/14)*7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -24, -38, -52, -66, -80?\n\"Answer: -14*z - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 79773893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2, -4, -6, -8?\n\"Answer: -2*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) + -3*-2*sqrt(209) + sqrt(209) + sqrt(209) + -6*(sqrt(209) - (sqrt(209) - sqrt(209)*1)))\/((sqrt(363)\/sqrt(396))\/sqrt(3)).\nAnswer: 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 2*b - b + 11, -2*l - 3*b = 5. Let p = -101.1 - -101. Let u = -1636\/9 + 182. What is the closest to p in 2, l, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 2 + (12 - 0 - (3 + 43))\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m - 5. Let c be j(-6). Let v(h) = -6*h + 3 - 2 + 10*h + 5*h. What is the tens digit of v(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*l - 20*l + 72 = 0. Let z(b) be the first derivative of 8 - 5*b**3 - 7 + 21*b**6 + 21 - l*b**6. What is the third derivative of z(x) wrt x?\nAnswer: 1080*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21280263?\nAnswer: 3, 743, 9547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 6}. Give prob of sequence vv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 151180518*f**2 + 413530974 with respect to f.\nAnswer: 302361036*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 427622317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (6197*o**2 + 99475*o - 99475*o)*(-3*o - 2*o + 3*o) in the form l*o**3 + u*o**2 + b + j*o and give l.\nAnswer: -12394","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -5*f**3 - 2*f**2 + 6*f - 13. Determine l(2).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 12:59 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -1144*j - 3432. Give x(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4598 + 5410. What is the remainder when y is divided by 39?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 328?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -406, -407, -408, -409?\nAnswer: -410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -10*j - 51. Let m be s(9). Suppose -2*f = -331 - 151. Let d = m + f. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1299 divided by 3\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + 11*z**2 - 7*z - 12. Let h be o(10). Differentiate -385*j + 151 + h*j**3 + 385*j with respect to j.\nAnswer: 54*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(612) + ((sqrt(612) + -1*sqrt(612) - sqrt(612))**2 + -2 - sqrt(612)).\nAnswer: 610","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -83*o - 2079. Give u(-25).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 5 + 1 = o, s - 2*o = 8. Let y = -219693 - -219695. Sort s, -66, y in decreasing order.\nAnswer: y, s, -66","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 400.02 + -400. Which is the fourth biggest value? (a) 3\/5 (b) m (c) -0.4 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 728602*p**2 - 343268 wrt p.\nAnswer: 1457204*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 51 = f + 3*l, 0 = 2*f + 3*l - 57. What is the smallest common multiple of f and 204?\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -0.025.\nAnswer: -0.0125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w**3 - 8*w**2 - 15*w + 15. Let u be i(10). Suppose 9*f - u - 357 = 0. Suppose -f = -2*x - 62. Calculate the greatest common divisor of 6 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4480\/176)\/14*(-6)\/10?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-42)*h)\/h**(-1\/68) assuming h is positive.\nAnswer: h**(-2787\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 0*o + 4*o)*(5 + 3 - 5)*(o**4 + 1 - 1) - 2466 + 721*o**5 + 2466.\nAnswer: 724*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102022022202 - -20?\nAnswer: 102022022222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/4 and 51\/23.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 8*o**2. Let v be (1038\/865)\/((-12)\/10 - -1). Let g(z) = -z**2. Give v*g(k) + n(k).\nAnswer: 14*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 PM and 7:30 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41011912?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.656 * 0.09.\nAnswer: 0.05904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -111645 + 3?\nAnswer: -111642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 + 10*q + 14. Let l be r(13). What is the common denominator of 52\/7 and l\/4*(-11)\/(-5)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-7)*18\/(-24).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5}. What is prob of sequence jjjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3 + 980*p**2 - 2*p - 980.\nAnswer: 2*(p - 1)*(p + 1)*(p + 490)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -2*b + 9*b. Solve -3*l + b*l - 5 = 0, -z + 5*l - 30 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(21\/(-6) - -4). Let l(w) = -w**3 - w**2 + 14*w + 28. Let f be l(-2). Solve j + k = f for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - 5*h**2 - 5*h - 4. Let a be f(-4). Let q be (-1 - 12) + (a - -3). Is 2\/8*-74*q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + 4*f**2 + 2*f + 3. What is c(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -16370 (base 12) to base 2\nAnswer: -111101110000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*w + 4*d + 159 = 16*w, -d = -2*w + 21 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o + 3*o - 2*o + 3 - 3 + 3*o + (2 + 2 - 6)*(2*o - 3*o - 2*o).\nAnswer: 7*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -2241746?\nAnswer: -2241750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**5 - 17*x**4\/3 + 734*x**3\/3 + 1252*x**2\/3 + 168*x = 0. What is x?\nAnswer: -18, -1, -2\/3, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -39. What are the prime factors of v?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/3, -0.5, -1 in increasing order.\nAnswer: -7\/3, -1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -124118, -126028, -127946, -129878, -131830?\nAnswer: -133808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 18, p: 1}. What is prob of picking 2 s?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 36*k**3 + 3*k**2 - k - 4. Let c be z(2). Suppose -c = 57*q - 59*q. List the prime factors of q.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g + 4*g - 5*g + (-2 - 1 + 5)*(-3*g + 2*g - 8*g).\nAnswer: -20*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 11) to base 9\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55 + 4*w + 9*w - 4*w + 18 - 4*w.\nAnswer: 5*w - 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -45*r**3 - 11*r**2 - 22*r - 11. Give s(-1).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22856445 divided by -9?\nAnswer: -2539605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 245 + 19. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*q + 135*q**3 + 39*q**3 - 3*q + (0 + 0 + q)*(2*q**2 - q + q) to the form s*q**2 + g*q + z + o*q**3 and give o.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -3, 972, -24, 3, 0 in descending order.\nAnswer: 972, 3, 0, -3, -8, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(14 + -8) - 4 - 10 - -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 8*w - 4*w. Let j be 0\/(((-8)\/w)\/(-2)). Let y = -8 + 10. Solve -h - y*h = j for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3 + c + 3*c - 2*c**2 - 5*c**4 + 7*c**2 - 2*c.\nAnswer: -c*(c - 1)*(c + 1)*(5*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 87690 and 644170?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3855655.1 rounded to the nearest one thousand?\nAnswer: 3856000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 2:31 AM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i - 5. Let w be y(-5). Let d(x) = -4*x - 3 + 0*x + 0*x + w*x. Let k(v) = v + 1. Calculate 2*d(s) + 7*k(s).\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16\/(-72) + (-14)\/18. Let y = -20\/457 - -8452\/26049. Which is bigger: y or s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459517 rounded to the nearest 10000?\nAnswer: 460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 247*g**3 + 39*g**3 + 69*g**3.\nAnswer: 355*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -12004 divided by 3\nAnswer: -12004\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 35 = 3*l, -5*l + 5*h = -0*h + 65. What is the common denominator of -43\/5 and l\/4 + (-7)\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1893 by -5.\nAnswer: -1893\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 + -31. Let y be 0\/2 - (-8 - r). Suppose -3*n - 27 = -w - y*n, -4*w - n + 80 = 0. Calculate the remainder when w is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10298305 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.7769194 millimeters?\nAnswer: 0.0007769194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2367615012?\nAnswer: 2, 3, 7, 59, 477727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9.78 - -3.21. Let z = i + -13. Let c = -0.11 - z. What is the closest to -1 in -0.2, -1, c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 12. Let v be q(0). Let i be v\/(-102) + (-140)\/34. Let s(c) = -2*c**3 - 4*c**2 - 3*c. Let o(a) = -2*a**3 - 5*a**2 - 4*a. Give i*s(b) + 3*o(b).\nAnswer: 2*b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/(-45)*1665\/(-444))\/((-3)\/(-840)*5)\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*i - 0*i - 500. Suppose 0 = 53*l - i*l + 3. Which is smaller: -1\/100 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1136 - -2042. Let l = x - 511. Is l a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*b - 10*b - 9*b + 2 + 20*b in the form m + s*b and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/(d*d*d**(-1)*d)*d*d)**35\/(d**(-2\/3)\/d)**45)\/((d**6*d*d\/(((d*d\/(d*d**0))\/d)\/d))\/(d*d**(1\/9)\/d*d**4)) assuming d is positive.\nAnswer: d**(1261\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 73054647 and 161?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 168794512*o**3 + 2*o - 2*o - 168794469*o**3.\nAnswer: 43*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -23? (a) -3 (b) -0.1 (c) 1 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*a**2 + 2*a**4 + 8*a**2 + 10*a**3 - 454*a + 462*a = 0. What is a?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 38819925\nAnswer: 38819921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 62969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33301210 - 11?\nAnswer: -33301221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/((11 - 3)\/(-4)). Let p(z) = 4*z**2 + 2*z - 1. Let v be p(g). Solve u = 4*u + 2*h + 5, -v*u = 4*h + 9 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1168\/28032 + 3\/(-72). Factor -8\/7*b**2 + 0*b + 4\/7*b**3 + j.\nAnswer: 4*b**2*(b - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1827103 is divided by 21751?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15910 + 15930 = 20*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 12*l - 216 = 0. Suppose 6*h - 3*h = 2*v - 10, 10 = 2*v + 4*h. What is the remainder when l is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -6. Let w(x) = 4*x + a*x - 2*x**2 - 3*x. Let o(l) = l. Let f be o(-1). Determine w(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -211 + 225. Let z(o) = -o**2 + 10*o + 59. Let p be z(k). Which is the second biggest value? (a) p (b) 0.07 (c) 0.4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 127467199 to the nearest integer?\nAnswer: 11290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 21495138.\nAnswer: 64485414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 445.5245 grams to micrograms.\nAnswer: 445524500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*i**2 - 15*i + 542 + 5*i - 542 in the form w*i**2 + s + m*i and give m.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -1168?\nAnswer: 1164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((36\/4)\/((-42)\/(-4)))\/((-2134)\/44814).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -2. Suppose o = -3*z - z. Suppose c = -z*c + 2. Let u(x) = 3*x + 1. Determine u(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -47.5 - -47. Put 0.5, -0.03, 0.1, x in ascending order.\nAnswer: x, -0.03, 0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 559?\nAnswer: 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1362 - -2243. Let b = -324 + g. Suppose 89 - b = -6*l. What is the remainder when l is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 30, -365*i = 5*b - 363*i - 377. Calculate the remainder when 3284 is divided by b.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 0*h. Suppose 38 = -h*d - 5*d - r, 18 = -3*d - 3*r. Is (d - -4)*1*-8 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/15, -2, -1, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of -5*u**3\/6 + u. Let w(v) be the third derivative of -v**4\/24 - 38*v**2. Calculate w(r(o)).\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -3*j + 19. Give a(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5213 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c = 196 - 160 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -5*c + 105, -5*z + 192 - 45 = -c. Calculate the remainder when z is divided by 4 + 7 - (0 - -3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - h + 44 = -4*s, 57 = 3*h + 3*s. Solve q + 5*i + h = 0, 5*q + 0*q - 20 = 5*i for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/51 - (-3000)\/(-1530).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -214075557*z**6 + 324801689*z**2 wrt z?\nAnswer: -25689066840*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -3*w**3 + w - 1. Let b = 439 + -438. Let u(i) = -i - 1. Determine b*u(t) + v(t).\nAnswer: -3*t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/198332160 and 1\/9048?\nAnswer: 198332160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -b - 35. Sort b, -5\/3, -3\/4, -29 in increasing order.\nAnswer: -29, b, -5\/3, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of a**7\/3780 - a**6\/1080 + 7*a**4\/12 + 4*a**2. Let c(y) be the second derivative of w(y). Factor c(v).\nAnswer: 2*v*(v - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6*(-2 + -2)\/12. Let y(f) = -f**3 + f**2 + 5*f + 6. Let v be y(k). What is the tens digit of (380\/v)\/((-1)\/(-2))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 1233*w + 1375*w - 3932*w + 1303*w.\nAnswer: -21*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 - -15. Suppose 3*z - 378 + 18 = i. Suppose -6*m - z = -10*m. Is m a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -126203, -126198, -126193?\nAnswer: -126188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -1 + 2*f - 3*f - 4*f. What is the units digit of b(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -86*k**2\/11 - 34*k\/11.\nAnswer: -2*k*(43*k + 17)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -12553856 divided by 896\nAnswer: -14011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -109 - -112. Solve z + 0 = -g for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.9 and -0.96?\nAnswer: -0.864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 115 (base 12) to base 8\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*x + 1 + 2*x**3 - x**4 + 0*x + 0*x**3 to h*x**2 + g*x**4 + t + r*x + y*x**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 199 + 1176. Does 25 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2920 + -2920.2. Which is the smallest value? (a) 4 (b) 3 (c) -0.033 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7246.91 - -7205. Let f = w - 0.09. Let a = -37.6 - f. What is a rounded to 0 dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1093332 divided by 716\nAnswer: 1527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 683*j + 5 = 5*v + 686*j, 3*j - 25 = -v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8510\/60 - (-1)\/6. Which is smaller: v or 143?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5277 + 4.8.\nAnswer: -5272.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.17 times -0.5?\nAnswer: -8.085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 3:40 AM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -76\/1043 + -53\/149. Which is the second smallest value? (a) f (b) -2 (c) 3\/2 (d) 3 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5423\/7 - -773. Calculate the common denominator of (-327)\/36 - 2\/8 and t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41.4 - -18.2. Round i to the nearest integer.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n + 4. Let m be s(4). Let l be -6*2\/(-4) + (4 - m). What is the highest common factor of l and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 8081829 and -1.3133.\nAnswer: 8081827.6867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 9) to base 7\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11102002 - -100?\nAnswer: 11102102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-35 + 19)*6\/(-8). Let s = j + -61. Which is greater: -48 or s?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -3*q**4 + 279606*q**3 + 559224*q**2 = 0.\nAnswer: -2, 0, 93204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -27.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 3.1. Let w = 22 - 25. Suppose -i + 2*i + 1 = 0. Which is the nearest to 0? (a) i (b) w (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1353.266 + 723.41. Let p = l + 630. Which is smaller: 0 or p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1798724?\nAnswer: 2, 449681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/12)\/(21\/4)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 2 - 156*q - 2.\nAnswer: -156*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*d**2 - 144 - 68\/3*d.\nAnswer: 2*(d - 108)*(d + 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 3*g**2 + 7*g + 4. Let y be (-20)\/(-8) + (75\/10)\/(-1). Calculate z(y).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1134)\/20370)\/27*-10?\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**4)\/u*u\/u**(-17)*(u\/(((u*(u\/u**28*u)\/u)\/u*u*u)\/u)*u*u)\/u*u**19 assuming u is positive.\nAnswer: u**61","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 2*x - 9*x)*(-4*x + 4*x - 2*x**4).\nAnswer: 20*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 7) to base 10\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 90*j**2 + 262*j + 84. Determine z(-87).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g + 9. Let c be 4*1 + (-1 - -3 - 3). What is s(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of -1\/3*f**3 - 1\/24*f**4 + 1\/30*f**5 + 3*f**2 + 0 + 0*f + 1\/120*f**6. Let d(u) = 0. What is u?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -5 - 8*j - 2 - j**2 - j + 2*j. What is t(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 507481 - 1320*y - 507481 to the form j*y + l and give j.\nAnswer: -1320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r**2 - 1566*r + 204363 = 0 for r.\nAnswer: 261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 16 = -2*y, 3*f + f - 25 = 3*y. Let p be (240\/(-42))\/(2\/y). Find o, given that 62*o**5 + 35*o**3 - 27*o + 7*o - p*o**2 - 47*o**5 + 50*o**4 = 0.\nAnswer: -2, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-30)\/25)\/((-1)\/30). Suppose 2*t + y + 11 + 9 = 0, -f = 5*t - y. Is -8 <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 127499\/16 + -7966. What is the common denominator of j and (-1 + 30\/32)*73?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 84220271?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 398*b + 412*b + 333*b + 20*b**2 + 326*b - 1373*b.\nAnswer: 20*b**2 + 96*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/((((h\/h**(-1))\/h*h)\/h)\/h)))\/h*h*h**3)\/(((h\/h**(-1))\/h)\/((h*h**(-2\/3)*h)\/h)) assuming h is positive.\nAnswer: h**(7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 89 + -68. Suppose -19 = 8*f + x. Let s be (6\/20)\/((-12)\/(-10)). Put s, f, 12, -0.4 in ascending order.\nAnswer: f, -0.4, s, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 110 + -66. Suppose -3*t - 4*j + p = 5, -4*t + 45 = 3*j. Is t a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i + 8. What is j(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 13) + -7 - (10 + 1 - (33 - 45)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0*h**(1\/8))**(-24)\/((h**(-5)\/h)\/h*h*h*h\/h**(1\/6)*h*h**(-7)*h*h**(-2\/21)) assuming h is positive.\nAnswer: h**(263\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-17)\/3)\/(3\/9). Let f = -19764 + 19763. Sort 0, r, -1\/2, f in decreasing order.\nAnswer: 0, -1\/2, f, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 13 = 24. What are the prime factors of k\/3*(-8 - -5)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10142 - -10405. Calculate the remainder when c is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 5 - 5)*(-3 + 3 + 4*l + 2*l - 2 + 2 + l + 2 - 2 + (-l - l + 0*l)*(1 - 3 + 3) + l - l - 2*l) - 83*l - 352*l + 168*l to w + j*l and give j.\nAnswer: -273","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67605 is divided by 53?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of -y**5\/10 - 2*y**4 + 28*y**3\/3 + 26*y - 1. Factor q(s).\nAnswer: -2*s*(s - 2)*(s + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + u + 24 = 0, 20 = -9535*f + 9540*f - 5*u for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -836*v + 42810 + 2200 - 6554 = 0 for v.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -87*z**2 + 92*z**2 + 3*z**3 + 0*z**3 as g*z + a*z**3 + v + x*z**2 and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 275 - 509. Is -3 != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/2*(-6)\/(-9). Is (-5)\/((-20)\/2456) + j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314 is divided by 29.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/125178 and -3\/341.\nAnswer: 1376958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 - 4*t - 8. Suppose 3*f = 9, -5*j + 4*f + 13 + 5 = 0. Let b be d(j). Let k be 2\/3 + b\/12. Let y(a) = 8*a**2 + a - 1. Calculate y(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 106, 852, 1598, 2344, 3090?\n\"Answer: 746*m - 640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 1. Suppose 0*u + 2*k - 436 = -5*u, -t*u + 415 = -5*k. Suppose -36 = 5*o - u. Does 5 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -164*q**2 + 574?\nAnswer: -328*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 20913 and -4.\nAnswer: 20909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1802 + -717. Does 7 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 12*a**2 - 1013*a. Let y(i) = 10*i**2 - 1013*i. Determine -4*t(h) + 5*y(h).\nAnswer: 2*h**2 - 1013*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 4*g - 10 = 0, -5*i + 2*g = 5*g - 40 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 26*o**2 + 90*o - 185. Is a(134) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 563260 divided by -283.\nAnswer: -563260\/283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -14301060 and -14301055 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3 - 26*x**2 - 46*x - 22.\nAnswer: -2*(x + 1)**2*(x + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from taaaaattata.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 545 = 6*x - x + 5*c, -x + 3*c + 117 = 0. Let g = x - 79. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 4*a + 13, a = 5*r - 6. Suppose -4*o - 8 = -8*o. Solve -o*h = -h + r for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -113, -756, -1779, -3182, -4965?\nAnswer: -7128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (206 + -196)*((-2)\/(-4))\/(-1). Let o be (-1 - 0\/4)\/(f - -3). Put 6\/7, 1, o in increasing order.\nAnswer: o, 6\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-2)\/y*y)\/y)\/(y**(-1\/5)\/y)*(y*y**(-1\/6))\/(y*y**2*y) assuming y is positive.\nAnswer: y**(-119\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -301.775285859 take away 64?\nAnswer: -365.775285859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 169.59795789 - -0.029.\nAnswer: 169.62695789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -136 - -136. Suppose 4*u - 168 = -5*v - 18, -u - 5*v + 30 = w. Calculate the highest common factor of u and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33415, 66838, 100253, 133660, 167059?\nAnswer: 200450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 492491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 838840.7ms to nanoseconds.\nAnswer: 838840700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23512327?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -19, -18, -1, 5, 174, 4 in descending order.\nAnswer: 174, 13, 5, 4, -1, -18, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 89032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116301510 divided by 11630151.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {e: 3, w: 13}?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4130 (base 5) to base 14\nAnswer: 2a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -7*k - 35921, 0 = -3*u + 40*k - 39*k + 53929. What are the prime factors of u?\nAnswer: 2, 89, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110111111000 + 1011111?\nAnswer: -110110011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -710 (base 11) to base 15\nAnswer: -3c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/7 (b) 0.15 (c) -0.04 (d) 0.3 (e) -0.5 (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -6, -0.5, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**2 + 0*d**2 - d**2)*(-5*d**2 + 2*d**2 - 5*d**2) - 3*d**2 + d**4 + 3*d**2 + 3*d**4 - 4*d**4 + 4*d**4.\nAnswer: -12*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 65 - 64. Let a = m + 122. Calculate the remainder when a*(-2 - 7\/(-3)) is divided by 17.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26444 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 7:23 PM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -198*x + 18114. Calculate y(92).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/98, -0.5, 12470.31?\nAnswer: 3\/98","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -48 + 76. Suppose -v*d + 33*d = 7570. Suppose -16*k = 170 - d. Is 7 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of -14*i**3\/3 + 11*i**2 + 27*i. Differentiate y(a) wrt a.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40 + -14. Suppose 0 = -v + s + p, -3 = -4*s - 11. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 248576186, 497152387, 745728600, 994304831, 1242881086, 1491457371, 1740033692, 1988610055?\n\"Answer: x**3 + 248576194*x - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 0 (c) -6947\/56\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/16951232 and -11\/346.\nAnswer: 16951232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 3*l = -3*v - 51, v - 3*l - 3 = 0. Which is bigger: -11 or v?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5\/6 (b) -5 (c) 0 (d) 19130\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h**(-7)\/h*h)\/h*h**9)\/(h**(-2)*h)**(-7\/3) assuming h is positive.\nAnswer: h**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 92\/2*(91\/(-42) - 30\/(-18))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, -0.2, -26\/11, 2, -225, 0, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k - 13. Let d(n) = 4*n - 27. What is -6*d(o) + 11*z(o)?\nAnswer: -2*o + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 88*g - 32*g + 112 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3879 + 3867. Which is greater: -11\/8 or b?\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - 2*v + 4. Let c be l(-1). Solve 0 = 4*k - c*t - 1, 14*k - 9*k + 3 = 2*t for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1501?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2 + 0 - 3 - 2 + 4*k. What is the remainder when u(10) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13972 - 6.4977.\nAnswer: -13978.4977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1085*x + 3974 + 2536 = 0 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9288 and 3909636?\nAnswer: 1008686088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5567616 and 36158.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20505*w - 4*h - 35 = 20500*w, w - 31 = -4*h for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + 6*h**2 + h - 2. Let q be d(6). Calculate the remainder when 70 is divided by (21 - 0) + (q - 1).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-33*f - 22*f - 41*f - 6*f + 3 - 3 + (4 + 2 - 4)*(f + f - 4*f) + 3*f + 3*f - 7*f + 5*f + 0*f - 3*f)*(20 - 17 + 28) to the form n*f + h and give n.\nAnswer: -3255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(2\/7))**33 assuming u is positive.\nAnswer: u**(297\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-390)\/120*9176\/(-481).\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 1660.\nAnswer: 6640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9\/16 or 2?\nAnswer: 9\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 6164*w - 18359*w + 47*w**2 + 6087*w + 6108*w.\nAnswer: 47*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1379, -1375, -1359, -1325, -1267?\n\"Answer: q**3 - 3*q - 1377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -40999858? (a) 4 (b) -5 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 46 + -46. Let l = -42 + 67. Suppose 3*n + 2*n - l = r. Does 2 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 - 4*z - 1. Let a be t(3). Let v = -2 + 5. Let d = -1 - -0.8. What is the nearest to -2\/3 in d, a, v?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.2 and -4.808?\nAnswer: -5.7696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 172067288*m**2 + 8*m - 4992102 wrt m?\nAnswer: 344134576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**2\/9 - 700*t\/9 = 0. Calculate t.\nAnswer: 0, 350","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -3*q + 459358, -25*w + 20*w = 3*q - 459356. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -209, -829, -1859, -3299?\n\"Answer: -205*r**2 - 5*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*u = -62*u - 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4906302 divided by -4?\nAnswer: 2453151\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1456\/130 - 12\/10) + 8. Let o(i) be the first derivative of -7*i**3 + 57\/2*i**2 + p*i + 39. Suppose o(u) = 0. What is u?\nAnswer: -2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*1\/16)\/((-29607)\/19738)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5063 + -834435543?\nAnswer: -834435542.4937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3934 - -3937. Solve p*q - 19 = 6*d - d, -4*q = -2*d - 16 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14 and -0.9.\nAnswer: 12.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/(-7) + -6*(-4)\/(-336) and (116\/(-34))\/(1*-2).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 117\/(-624) - ((-903)\/144 + 6)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - 13*y**2 - 12*y - 13. Calculate i(14).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3*b - 24 = 0. Suppose 0 = 3*p - b - 18. Calculate the remainder when 23 is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3200301 (base 4) to base 7.\nAnswer: 56640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, 0.07, -5\/3 in decreasing order.\nAnswer: 4, 2, 0.07, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2567390249?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42 + -57. Is ((-6)\/8)\/(m\/2580) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 635404 = 14*o - 353542. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -911 = -6*q + 3571. List the prime factors of q.\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 0*i - 9 = 0. Let x = -5 - i. Suppose g = -x*g. Solve -12 = -g*q - 3*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30201.\nAnswer: 3, 10067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 254420370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 1, 2, 7, 16, 29, 46?\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9421?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.097 times -3710228?\nAnswer: 359892.116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2528 divided by -632\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - ((-10)\/4 + 15\/(-10)). Let l be o\/28*-4 - -3. Solve -l + 8 = 3*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, i: 4, n: 2, e: 6}. Give prob of sequence inf.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -411 - 412 + 714*p + 823.\nAnswer: 714*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1669118293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/3 (b) -1 (c) -14 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -158, -155, -176, -233, -338, -503, -740?\nAnswer: -1061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 9:11 AM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 40.\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 103059 - 103067 = 4*u, 44 = -4*u - 4*k for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 24\/21036283 and -61\/3175288?\nAnswer: 168290264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/40)\/u)**(-2\/77)*u**(14\/5)\/(u*u*u**8*u) assuming u is positive.\nAnswer: u**(-12587\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 18 and -56.718411?\nAnswer: -1020.931398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 13) to base 3.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-1)*((-2202)\/(-1835) - (177\/(-15) - 4))?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6700 - -18696. Is 107 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 1781*d - 1774*d + 3551*d + 11)*(4 - 4 - 4*d).\nAnswer: 16*d**2 - 92*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 490 and 784.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*r - 14 - 38. Suppose r*u - 1619 + 299 = 0. Does 55 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 444915 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 + 16*d - 40. Let r be n(12). Let b(x) = -15*x - 16*x - r*x + 12*x. Let k(y) = 4*y. What is b(k(a))?\nAnswer: -108*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.07 (b) -11339 (c) 40 (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.11 * -318138\nAnswer: 34995.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) -0.58 (c) -1\/7 (d) -0.1 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 30665250 divided by -86625?\nAnswer: -354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -56*b - 43. Let w(l) = -58*l - 41. Let s be (30 - 29)\/(1\/5). Let k(y) = s*w(y) - 4*n(y). What is the first derivative of k(g) wrt g?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 965166 = -7*h + 5436766. Round h to the nearest 10000.\nAnswer: 640000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m = -10*m + 125. Suppose -4*i = -3*y + m, 3*y + 54 = -2*i + 185. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1126315.\nAnswer: 5, 225263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-3 - 1) + 3 + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**2 + 180674652727*g**3 - 180674652729*g**3 - g**2.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(243) + sqrt(243)*1)*3 - ((sqrt(243) + 1)*4 - sqrt(243))) + sqrt(243) + -1 + 0 + -5)**2.\nAnswer: -720*sqrt(3) + 3988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -48, -67, -88, -105, -112, -103, -72?\n\"Answer: c**3 - 7*c**2 - 5*c - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 15 - 19*g.\nAnswer: -19*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4*f = -4 - 6, -5*r + f - 31 = 0. Let h = 6 + r. Suppose -2*n + 52 = 3*i, h*i = -3*i + 4*n + 58. 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: Calculate prob of picking 1 i and 1 k when two letters picked without replacement from titktkk.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35 - 10. Suppose -5*t = u, 2*w + 2*w - 179 = -5*t. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b - 4019*b**2 - 3066*b**2 + 7050*b**2.\nAnswer: -35*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 36\/(-108)*(-3)\/15*3. Which is the fourth smallest value? (a) k (b) -3 (c) 3 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4282151 (base 11) in base 4?\nAnswer: -130231331321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a decade in months?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 323 divide 1438846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1324487266 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6613716 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 86, 4\/3, 2 in ascending order.\nAnswer: 1\/3, 4\/3, 2, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20.2 + 1.2. Let r = 17.7 + c. Let v = r - -0.8. What is the second smallest value in -2, v, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38698967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) -2\/5 (b) 4 (c) -5\/6 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6600 divided by -50226.\nAnswer: -100\/761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-65))\/((312\/65)\/(-4)).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from klglq. What is prob of picking 2 l and 1 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 89a - -980?\nAnswer: 165a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 20 = y - 5*y, -5*y = 0. Let x = 50 - 47. What is the closest to 1\/2 in d, 3\/2, x?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t - 142950 = -15*r + 12*r, 3*r + 5*t - 143038 = 0. What are the prime factors of r?\nAnswer: 2, 23833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of -469*b**5\/20 - b**4\/8 - 4*b**3\/3 - b**2 - 8*b + 2. What is the second derivative of q(z) wrt z?\nAnswer: -2814","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 34.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x + 7. Let b be k(4). Factor -4*j**2 + 4*j**2 - j**b + j**5.\nAnswer: j**3*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 5:37 AM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 256900?\nAnswer: 2, 5, 7, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 241.15 - 240. Which is smaller: -2 or y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*t - 18*t + 30*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -5*m, 0 = m - 3*g - 2*g - 18. Suppose -12 = -6*z + 192. Let w = z + m. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3316633.\nAnswer: 43, 137, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 7*u**3 + 2*u - 1. Let g = 3 - 2. Suppose -3*n - g = -4. What is the units digit of p(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, n: 7, b: 3, t: 6}. Give prob of picking 4 t.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30.63 + 0.63. Let d = w + 61. Let i = -32 + d. What is the nearest to i in -3, -0.5, 5\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (2 - (0 + 1)) - -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -32 - (-3 + (-4)\/2). Let c be 7 - (4 + (-75)\/w). Suppose -c*y**3 + 0*y + 2\/3*y**2 - 8\/9 = 0. Calculate y.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s + 2*s - 4*s to the form y + m*s and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -53.6 - -50. Let k = 6.6 + b. What is the fourth smallest value in 0.4, -0.04, k, -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-66)\/(-45))\/(8\/(-12)). Let p = g + 9\/5. What is the third biggest value in p, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n + 1. Let i be s(1). Let p = 0.05 - 0.04. Let r = p - 0.06. Which is the smallest value? (a) r (b) i (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(0 - 23)*-1*2\/(-4). Solve 21 = 2*i + s + 30, i - 5*s - 1 = w for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - (-1905)\/10 - (-3)\/6. Let d = 240 - n. What is the greatest common factor of d and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 27\/1234?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 398 is divided by (-2)\/5 - (5553\/(-45) - 11).\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -18780\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6177564011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -34, -3, 3 in ascending order.\nAnswer: -34, -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**2 + 6*l - 15. Calculate the remainder when g(9) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37335 divided by -19.\nAnswer: 1965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**5\/5 - 3204*r**4\/5 - 2572*r**3 + 19264*r**2\/5 + 12858*r\/5 - 3212 = 0.\nAnswer: -5, -1, 1, 1606","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*j**2 + 7 - 43 - 195*j**2 + 45*j.\nAnswer: -154*j**2 + 45*j - 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ididiifiifizfiyiiiii. What is prob of sequence fdf?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -179, -361, -545, -731?\nAnswer: -919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28069097671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -3 - 5\/(10\/(-108)).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 472*o**2 - 2594 - 159*o**2 - 3212 - 157*o**2 - 158*o**2 - 9*o.\nAnswer: -2*o**2 - 9*o - 5806","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144 is divided by 79.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 50 - 37. Find the third derivative of -11*r**5 - 17*r**2 + 13*r - b*r - 5*r**5 wrt r.\nAnswer: -960*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-5) + 12 + (-153)\/(-45). Let t(v) = v + 1 + 6*v**2 - 5 + 0*v. Is t(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -132 divided by -176806.\nAnswer: 66\/88403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) -259 (c) 0.3 (d) 2\/5 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2441*b + 1290. Is f(17) a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/(-6)*(-4)\/3. Calculate the remainder when 22 is divided by 6*(-2 + 3) - j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33 and 1647?\nAnswer: 18117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o + 55000. Let p be g(0). Round p to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1641777727 to the power of 1\/3, to the nearest integer?\nAnswer: 1180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2373 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1030 + -3?\nAnswer: -1033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/161? (a) 0 (b) -0.311 (c) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -20 or -125\/6?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s**2 + 7*s - 4. Suppose -5 = -8*m + 7*m, 4*m = 3*k + 38. Let x(o) = 2*o**2 + 5*o - 4*o - 1 - o**2. What is k*x(q) + n(q)?\nAnswer: -3*q**2 + q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 4 + 17 - 33771*a + 3 + 33769*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 205259472 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 3009734?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 1130310?\nAnswer: 1130302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -87*m**6 - 196*m**3 - 18873*m**2 wrt m?\nAnswer: -10440*m**3 - 1176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*c - 7747 + 3093 + 11998 = 39*c for c.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.74 + 1014.76. What is t rounded to the nearest ten?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/15))**(-50) assuming x is positive.\nAnswer: x**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1100102122112 - 12?\nAnswer: -1100102122201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**4 - 3165*c**3 + 1015137*c**2 - 131407719*c + 6033698976.\nAnswer: 3*(c - 608)*(c - 149)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -12*w - 4. Let g(i) = 25*i + 9. Let k(f) = -3*g(f) - 7*u(f). Let z be (-2)\/(1\/(-2)*-4). Calculate k(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - 5*u + 2*u)*((0 + 0 + 1)*(0*u - 8*u + 11*u) + u - 5*u + 6*u + (-48 + 80 - 48)*(2*u + 2 - 2)).\nAnswer: 135*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 5*l**2 + 4*l. Let x(c) = 794*c**2. Give w(x(r)).\nAnswer: 3152180*r**4 + 3176*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3287, 6769, 10251, 13733, 17215?\nAnswer: 20697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3*p + 3. Let k(v) = 6*v + 5. Let z(g) = 5*i(g) - 3*k(g). Let a(c) = 6*c. Determine z(a(h)).\nAnswer: -18*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 1 + 9 = -4*y, 21 = 2*u - 3*y. Let h be (-3 - 1)*1\/(-2). Suppose -l + h = -5. Calculate the remainder when u is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-9)*0*1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + n = 5, -3*n - 2 = 2*p - n. Let z be p + (-5)\/(15\/6). Suppose 3*u + 3*v = z, u + 7 = -3*v - 1. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -80*c**3 - 131*c**2 + 7*c + 6. Calculate d(-2).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 5*k + 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 44751 and 44750 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6573 is divided by 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k - 430 = -50*k - 25*k. Which is the closest to -2\/9? (a) k (b) 1\/6 (c) 1 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s**2 + 21*s + 7. Let c be (3\/(-1) - -4)*0. Suppose -4*w + 210 + 2 = c. What is the remainder when w is divided by h(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1)\/k)\/k)\/k**(-3)*k**(-5)*k**0\/k assuming k is positive.\nAnswer: k**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 4*s**2 - 7*s - 7. Let c(v) = -v**2 + 2*v + 2. Let u(q) = 7*c(q) + 2*y(q). Let f(g) = -50*g**2. Determine f(u(k)).\nAnswer: -50*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 8:27 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 2, 4 in descending order.\nAnswer: 10, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hfhh when four letters picked without replacement from dhdhfihfiffdfhyiffhf?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(-48)\/40 + 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 3779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 780.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -3*s**3 - s**2 + 2. Suppose -5*d + 38 = -a, 4*a - 52 = -5*d - 4. Let c(h) = -d*h**2 + 0*h + 0*h - 2*h. Give 7*c(r) - 6*p(r).\nAnswer: -2*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*h = -18, 0 = 4*x - 5*h - 0*h + 12. Let s = x + 0. Let z(f) = 5*f**3 + f**2 + f. Is z(s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 778, 764, 732, 676, 590, 468?\n\"Answer: -s**3 - 3*s**2 + 2*s + 780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i + 2*i - 108. Suppose i = -3*k + 6*k. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, 2, 64, 43, -4.\nAnswer: -4, 2, 42, 43, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3*b**2 + 2*b + 10. What is the tens digit of u(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -273, -274, -275, -276?\n\"Answer: -u - 272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 11. Suppose -20 = -i - f*i. Find the third derivative of -8*h**2 - h**4 + 4*h**4 + 0*h**4 - h**i wrt h.\nAnswer: 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1784767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-49 + 72 - 38)*(-2*h + h - h)*(-130*h + 20*h + 12*h) as b*h**2 + v*h + k and give b.\nAnswer: -2940","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-45)\/6)\/(-5)*14\/3. Let q be (306\/i - 8\/(-28))*1. Calculate the greatest common factor of 11 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3\/4)\/((l\/l**(3\/10))\/l))\/(l**(-2\/107)\/l*l*l**(-2)) assuming l is positive.\nAnswer: l**(3357\/2140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1266, 1269, 1276, 1287?\nAnswer: 1302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2023398 is divided by 1434.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and 5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5724873.\nAnswer: 3, 7, 11, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 g when four letters picked without replacement from gogcgoccgcc?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rt when two letters picked without replacement from {o: 4, r: 2, g: 4, t: 3, b: 3, v: 1}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1308481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 337863809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w. Let x(q) = -15*q - 10*q - 15*q + 16*q. Determine 63*h(c) - 3*x(c).\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -3*u**2 + 243*u + 384. What are the prime factors of k(73)?\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 + 12. Let i be n\/91 + (-1252)\/(-26). What are the prime factors of i + (-3 - (5 + -5))?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8644?\nAnswer: 2, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*p - 5582 = 247*p + 2608 for p.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7136185kg in nanograms?\nAnswer: 713618500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.558737 years to months.\nAnswer: 90.704844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1889663257 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (9 - -2)) + 13 + -27 + 4.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (5 + 298\/(-60))*(-8)\/2\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1352 + -327?\nAnswer: 1027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = -3*z + 5*d, 3235*d - 3238*d + 28 = z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 26574786 to the power of 1\/2, to the nearest integer?\nAnswer: 5155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1252*k**3 + 415*k**2 wrt k.\nAnswer: 7512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 10) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 80\/440 + (-4)\/22. Let j(k) = -2*k + 1. Give j(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**2. Let a(q) be the second derivative of -q**5\/120 + q**3\/2 - 2*q. Let k(l) be the second derivative of a(l). Give f(k(b)).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -46 + 104. Calculate the remainder when i is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*(d**(-5\/3)*d)\/d*d*d*d)\/d)\/(d*d**0*d*d)*d**(1\/12)*(d\/d**3)\/d)**(-44\/5) assuming d is positive.\nAnswer: d**(121\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8199929\/(-258) + (-40)\/60. Let u = a - -31784. What is the common denominator of -47\/6 and u?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03609 less than 0.16177?\nAnswer: 0.12568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q + 6 = -29 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -70 - -75. Suppose -13*v - 6*v = -j*v. Let i be (36\/20 - v)\/(12\/20). Solve 0*x - 12 = i*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b5 - -340d61?\nAnswer: 341036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of c**3 + 0 + 1\/20*c**5 - 7\/12*c**4 - c + 5\/2*c**2. What is the units digit of x(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -5*u + 25, -3*k = -u - 6*k - 14. Suppose -2*r + 5 = -r. Let z = r + u. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2834600 rounded to the nearest ten thousand?\nAnswer: 2830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/4)\/((-168)\/156) + (-45)\/120\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - s**2 - 12*s - 7. What is the remainder when k(6) is divided by 85?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2574\/23797?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 minus 2579?\nAnswer: -2579.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -31252, 58 in decreasing order.\nAnswer: 58, -4, -31252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 47.22943ms?\nAnswer: 47229.43","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-2 + 4 - 3). Determine l, given that 0 + 1\/4*l**4 - 1\/2*l**2 - 1\/4*l**p + 0*l = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/36*47\/(-6)*3 - 4?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*f - 312 = -39*f. Suppose f = 5*q - 2*i, q = -q - 5*i + 37. What is the highest common divisor of 128 and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 50.86408mg?\nAnswer: 50864080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4321 * 3043.5.\nAnswer: 13150963.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16214489 - 16214490.0000011. Let s = 1 + l. What is s rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*l**2*w**4 + 1909*l**2*w**3 - 2*l**2 - 2*l*w - 477*l wrt w.\nAnswer: -48*l**2*w**2 + 11454*l**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(660) + -2*sqrt(660))\/sqrt(12))\/sqrt(11) + (sqrt(245) + 2 + sqrt(245))**2*5.\nAnswer: 279*sqrt(5) + 4920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/9 (b) 2 (c) 0.5 (d) -209 (e) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w*w**(2\/7))\/w*w)*w)**2*w*w**(-2\/9)*w*w\/(w*w**4)*(w**(-2\/7)\/w)**(-3\/8)\/(w**(-2\/3)\/w**(-1\/7)) assuming w is positive.\nAnswer: w**(107\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 18079777 + -0.2?\nAnswer: 18079776.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + -9)\/(-1) + -2. Suppose 0 = 5*n - g - 8. Suppose -3*w = 4*h - 25, 2*w - 20 = 6*w. Solve -n*k + h = 4*i - 14, 3*i - 13 = -k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**2 + 87*v + 771. Give a(-31).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 40463907?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/((-5)\/(-2) - 3). Suppose 5*m = 5*v - v - s, -m = v - 6. What is the second derivative of m*z**4 + 12*z - 7*z**4 - 8*z wrt z?\nAnswer: -60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -79 + (0 - 9) + -64 + (-51 - -132)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + ((-1112)\/(-28) - (-10)\/35). Solve 0 = 10*j + 8 + n for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1700?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 7*k**3 + 7*k**2 - 5*k. Let q(p) = -6*p - 47. Let w be q(-7). Let u(n) = -n**3 - n**2 + n. Determine w*u(d) - z(d).\nAnswer: -2*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50511233?\nAnswer: 17, 61, 67, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 5*u**4 - 3*u**3 - 3*u**2 + 12*u - 3. Let g(c) = c**4 + c**3 + c**2 - c + 1. Let j(i) = 3*g(i) + t(i). Find the second derivative of j(l) wrt l.\nAnswer: 96*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -5*o - 16. Let m = -4 - o. Suppose 3 = -3*s + 4*g, -s - 3*s - g - 4 = 0. Sort m, 2, s in decreasing order.\nAnswer: 2, m, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -128763\/5 + 25905. Is 0.1 != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/30498000 and -73\/469200.\nAnswer: 30498000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*t - 584 = -20*t for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 c when three letters picked without replacement from ccbcvccsvcbcc.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -20 - 3*g + 2 - 7. Let a be n(-9). Suppose a = -p + 23. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 126aaa (base 11) to base 5.\nAnswer: 22342044","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p + z + 3, -9*z = p - 12*z - 7 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/(-9))\/((-2)\/18). Suppose b*s = -0*s. Let g(v) = v + 0*v + s*v + 0*v + 6. Calculate g(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 42256999*f**4 - 2*f**3 - 10*f**2 - 2245026*f?\nAnswer: 1014167976*f - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uttuuutuuuuuuuu. What is prob of picking 2 u and 2 t?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 bigger than 30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 21040709 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 + 2 - 7 + 2*y)*(5*y**2 + 5 + 3 - 6).\nAnswer: 10*y**3 - 125*y**2 + 4*y - 50","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 75 by 59679.\nAnswer: 25\/19893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 0, 3, 23, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189 is divided by 25.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w**44*w)*w**(2\/41) assuming w is positive.\nAnswer: w**(-1802\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5331710080 rounded to the nearest 1000000?\nAnswer: 5332000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*w + 51*w - 15*w to z + k*w and give k.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20920 is divided by 2961.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 11\/9 + (-37930619714)\/(-8037). Round g to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -88*(-2)\/(5\/((-20)\/(-16))). Is 46 at most s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 8:28 AM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -128*n**2 + 12*n + 62. Let a(x) = x**2 - x - 7. Calculate -9*a(t) - j(t).\nAnswer: 119*t**2 - 3*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 842716?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225 = -25*r, 818*r = -3*i + 769*r - 441 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -3*x. Let h be t(2). Let s be (1 - 2)\/(h\/(-42)). Is -7 less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -200096 divided by -50024\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3 - h - 3 + h**2 + 2. Let s be l(0). Let n(g) = g**3 + 8*g**2 + 2*g + 12. Let u be n(-8). Which is the third smallest value? (a) s (b) u (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 162586.6962157.\nAnswer: 162586.6962157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 101387?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2 - 12*a + 6 - 3 + 19*a. Let g(m) = -10*m - 7. Suppose -3*l = l + 28. Suppose 10 = 4*p - 6*p. Determine l*f(y) + p*g(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 6*i**2 - 50*i + 80. Give v(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 2*u. Factor 217*v**3 + v**5 - 215*v**3 + 4*v**4 - 4*v**2 - 3*v + u*v**5.\nAnswer: v*(v - 1)*(v + 1)**2*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57366 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j**3 + 14*j**2 + 100*j - 20. Let p be n(-7). Suppose -5*i - d + 2401 = -10*i, -2*d = 8. Let o = i - p. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28) + sqrt(28) + -4 + sqrt(28) + -1 - 3*(-2*sqrt(7) - sqrt(7))*5)**2*-4.\nAnswer: -72928 + 2040*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2992\/(-176)*((-24)\/(-8))\/((-3)\/(-1))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 190 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 8*c - 4*c. Is 34 a factor of c + (137 - 32\/8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/2 (b) -4 (c) -1 (d) 181\/4 (e) 1 (f) 35\/6 (g) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5825 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-15) + ((-2060)\/(-150))\/2. What is the greatest common divisor of p and 189?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, u: 6, a: 4, l: 4}. Give prob of sequence uud.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1541605 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 24606789 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 16*y = 468. Does 2 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.255794ml in litres?\nAnswer: 0.000255794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.0269 - 2.0269. Let z = -1.2 - -0.2. Let v = z + 0. Put j, v, 3\/4, 0.2 in increasing order.\nAnswer: v, 0.2, 3\/4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13103215 (base 6) in base 10?\nAnswer: -428411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 12, 3*c + 3857 = -5*k + 26061. Let m = 53405\/12 - k. What is the common denominator of m and 203\/6*(-36)\/(-224)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 35763137.46 to the nearest ten thousand.\nAnswer: 35760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2439566 to the power of 1\/3, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -2793000 to the nearest ten thousand.\nAnswer: -2790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 118931 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -1. Let d be (-6)\/(-27) + (-7)\/(-9). Suppose -5 + d = -4*b. What is the closest to 0 in b, -0.3, c?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 41*p**2 + 5*p + 9. Let u(v) = v - 9. Let o be u(7). Let r(j) = -10*j**2 - j - 2. Let a(s) = o*y(s) - 9*r(s). Give a(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/2)\/((5984\/64)\/(-187))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 5, y = 4*y - 3*v - 27. Suppose 5*r = t - 85, 2*t + 3*r - 157 = -0*r. Let b = -40 + t. Calculate the remainder when b is divided by y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 75*u**5 - 960*u**4 + 3807*u**3 - 4854*u**2 + 2292*u - 360 = 0.\nAnswer: 2\/5, 1, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2*b + 5*k = 13, -2*k + 6 = 0. Let x be 2\/(b*1\/(-4)). Let d = 2 - x. Let m(v) = v. What is m(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w**2 - 2*w**4 + 21 - w**2 + 0*w**4 - 18 + w**3 to q*w**3 + b*w**4 + o*w**2 + y*w + u and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16614326507 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17696178 and 1566?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3053 rounded to the nearest 100?\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y + 20. Calculate the remainder when z(0) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 107*k + 2 - 1 - 108*k. Calculate u(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*y - 2519 = -31*y. Is 94 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 611 and 1391.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - -9. Suppose -5*b + 6 = 3*q - 21, 5*q = 3*b + d. What is the second derivative of -11*k - 2*k**b - 6*k + 30*k wrt k?\nAnswer: -12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 65 in 0.4, -2, -20\/67, -3\/5, 1\/12?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**2 - 12*o - 246. What are the prime factors of n(-13)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43837*g - 43802*g - 420 = 0 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 50980 (base 11) in base 13?\nAnswer: 27b19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -757, -2, 2\/15, -0.0877, 0.1?\nAnswer: -757","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3011 + 0?\nAnswer: -3011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 378 and 65674?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24049.\nAnswer: 24049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2360 divided by -2\nAnswer: -1180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1044 = -5*a + a. Let w(v) be the third derivative of 7*v**4\/6 + v**3\/6 + v**2 + 7. Let x be w(1). Calculate the highest common divisor of a and x.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-348)\/(-18)*9\/6. Let x = h - 21. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -1, -1\/5, -9\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -24 or -117\/5?\nAnswer: -117\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2794 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -105740 divided by 6?\nAnswer: -52870\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13*(-2)\/15 + (-17)\/(-34) and -53\/8?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 6:57 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w. Let r be u(4). Suppose 5*h - 119 = -4*d - 0*d, -d - r = 0. Calculate the greatest common divisor of h and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4*v = 0. Let i be (5 - 1)*(-10)\/8. Put -1, v, i in decreasing order.\nAnswer: v, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + (-2)\/(-1))*5. Let r = -2032 - -2048. Solve -f*p + p = r for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 18 - 24 = -2*x, -3*o - x = -4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -25*s + 174. Calculate the lowest common multiple of 168 and s.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29*l**2*t**3 + 15993*l**2*t**2 + 1245*l*t**6 + 4*l*t**2 wrt t.\nAnswer: -174*l**2 + 149400*l*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*i - 5*k - 30, -i + 74*k = 78*k - 3 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41 (base 6) to base 4.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 270 divided by -135\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 3*f + 2. Is 10 a factor of x(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 - 6*q + 4. Calculate the lowest common multiple of r(-6) and (-665)\/(-57) - (-5)\/(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 905134 divided by -452567\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1075385111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4200\/13 or -322?\nAnswer: -4200\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 91295 and 12045050?\nAnswer: 2945","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -184*k - 58*k + 5082 for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 - (22 + (14 - 28) - (1 - 0)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133 is divided by 76.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}