diff --git "a/data/dm_maths/full_data/11191_11255.jsonl" "b/data/dm_maths/full_data/11191_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/11191_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let r(f) = 19*f - 3. Suppose -4*v + 3*z - 8 = 0, -z = 5*v + z - 13. Calculate the remainder when 42 is divided by r(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9865 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 6*k**2 + k. Let j be t(6). Let x be (768\/112)\/(2\/14). Calculate the greatest common factor of x and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1627, -3550, -5473?\n\"Answer: -1923*b + 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22\/45 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84 and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 y when four letters picked without replacement from {y: 7, g: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -171 - -183. Let s be ((-6)\/f)\/((0 - 0) + -2). Put -10, 0, s, 5\/2 in increasing order.\nAnswer: -10, 0, s, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 13\/5 of a gram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001100010 - 1011110110?\nAnswer: 101101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/12)\/((-3)\/(-8))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 10:14 AM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*k = -80*k + 532100 + 1516315. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 344?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of 233*c**3 + 85. Let g(l) = l. Determine t(g(h)).\nAnswer: 699*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 1419?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and -376821274.\nAnswer: -376821274.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 12*a - 13*a = -2, -5*a = -25. Solve -8*g + 4*g + 5 = -u*h, -2*g - 5*h - 17 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -7\/6*s**3 + 0 - 25*s**2 + 1\/60*s**5 + 7\/24*s**4 + 0*s. What is the units digit of u(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**2 - m**5 + 2*m**2 + 0*m**2 + 0*m**2 - m**5 + (0*m**3 + 3*m**3 - 5*m**3)*(0*m**2 + 6*m**2 - 4*m**2) + (2*m + 2*m - 3*m)*(0*m**4 + 4*m**4 - 3*m**4).\nAnswer: -5*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.005 and 3907.\nAnswer: 19.535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**2\/(k*k*k**(-1\/6)*k)*(k**(4\/7)*k)\/k**(-4))\/((k**(2\/3)\/k)**(4\/3))**42 assuming k is positive.\nAnswer: k**(983\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*(4\/10 + 102\/45). Let a be ((-7)\/4)\/(g\/(-32)). Is -7 smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 - 2*m. Suppose 3 = 3*b - 3. Let h be -6*((-3)\/b - -1). Let i be (-2 - 0)*h\/(-2). Give w(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (10 - (11 + -5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 558 is divided by 279.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 529146.1 millilitres to litres.\nAnswer: 529.1461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 7) to base 6\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 3*k**3 - 27*k**2 + 17*k**2 - k**4 - 6*k + 12*k**2 in the form d*k + l*k**4 + j*k**3 + w + q*k**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.1 - 2.5971. Round y to 3 dps.\nAnswer: -0.497","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24038.346 - 132\nAnswer: -24170.346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 6*l = l - 1, 3*s + l - 18 = 0. What are the prime factors of 3\/(-12)*s*-236?\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) 3\/5 (c) -15\/11 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2202132 (base 4) to base 2.\nAnswer: 10100010011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7149 and 429?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14220?\nAnswer: 2, 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.33 + 0.03. Let d = l - -0.33. Let i = d + 0.67. What is i rounded to 0 decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4107831 rounded to the nearest ten thousand?\nAnswer: -4110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -15?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1100, -1172, -1244, -1316, -1388?\n\"Answer: -72*s - 1028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -43 + 49. Suppose 0 = -y*h + h + 1775. Suppose b - 1674 + h = -4*c, 5*b + 1680 = 5*c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(3\/28))**(-44)*(r**(-24))**(15\/4))**(-1\/9) assuming r is positive.\nAnswer: r**(221\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 15 (c) -43.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 10:55 AM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*i + i + 10582. List the prime factors of i.\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - g + 2. Let n be k(1). Solve 0 = -b - n*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 a, and 1 o when four letters picked without replacement from okogoggaokoo.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -70972\/21 and 2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i. Let t(r) = 1531*r**2. Determine t(x(m)).\nAnswer: 6124*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 24\/10 - (-2)\/(-5). Let w = -91 - -93. Solve -m*g + 2*z - 4 = w, z - 2 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -815 + 1450. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 225.12881 + -0.41881. Let a = 0.447 - 227.447. Let f = r + a. Round f to one decimal place.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -47*l - 47*l + 29*l in the form x*l + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = 20, 0 = -2182*y + 2179*y - 5*t + 17 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 5*c**2 - 6*c - 4. Let u be y(-4). Let j be 5\/(20\/u)*15. Round j to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -524688.9299963 - -524689. Let l = -0.25 + 0.18. Let i = v + l. What is i rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 3)*1\/2. Let s be (3 - (2 - -1))\/o. Suppose 22*t - 26*t = -24. Solve 0 = -5*g + 5*h - 15, -g + t = -s*g + 2*h for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/11, -1\/2127, 0, 2\/5, -190, 3?\nAnswer: -1\/2127","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.9 - 6.1. Let c = 290 - 814. Let t = -524 - c. Put t, 0.5, -5, y in ascending order.\nAnswer: y, -5, t, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*p**6 - p**4 + 13366*p**3 + 20*p**2 + 518?\nAnswer: -2280*p**3 - 24*p + 80196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/19 in 6\/13, 2, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6105?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 - -18. Let n be 5 + -6 - (-33)\/(-27)*-1. Which is the nearest to n? (a) 0.5 (b) 4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 448031043.\nAnswer: 3, 151, 329677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -323592882\/16507 + 666883\/34. Let j = -2\/2913 - a. Find the common denominator of j and 46\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11329 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + 12 - 0 - -2. Suppose -5*w + 12 = -y. Suppose -3*s - w*t = -t - 46, -2*s - t + 24 = 0. What is the remainder when s is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -6*y + 17. Let j(a) = -25 + 8 + 17 + 0 + a. Give s(j(z)).\nAnswer: -6*z + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -44334, 6, -1.3, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/17, 13, 1 in descending order.\nAnswer: 13, 1, 6\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3842 less than 796.01?\nAnswer: -3045.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 134077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 2*c + 1612 = 0, -3*c = -2*o - c + 812. Suppose 1200 = 4*r - 2*w - o, 0 = r - 3*w - 396. List the prime factors of r.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*p**4 - 45*p**3 + 7*p**2 + 22*p - 6 wrt p.\nAnswer: 216*p - 270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -55*w + 32. Let x(i) = -10*i + 1. Calculate -a(z) + 5*x(z).\nAnswer: 5*z - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 661402?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 3*u + 45. Let i be ((-21)\/28)\/(1\/(-24)). Suppose u = -z + i. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12 + -43715b1?\nAnswer: -43715c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -127 - -125. Let n be (r\/(-15))\/((-6)\/(-30)). Factor -7\/3*g - 1\/3*g**4 - n - 3*g**2 - 5\/3*g**3.\nAnswer: -(g + 1)**3*(g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - q + 24 = 0, 38*l = 36*l + 3*q - 22 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 98494429 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1128 = 2*u + 380. Let o = u + -242. Is 22 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 - 19*y - 56. Calculate d(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a microgram in nanograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4286 + 194 = -6*u. Suppose 0 = 2*l - 21*b + 23*b - 132, 5*b + 228 = 4*l. Calculate the greatest common divisor of l and u.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2. Let x be (-1)\/3*(-9)\/3. Let g(q) = -1 + 0*q**2 + x + q**2. Calculate g(v(l)).\nAnswer: l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -102 - ((-56 - 59) + 6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1230288105 to the power of 1\/2, to the nearest integer?\nAnswer: 35075","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1761 to 2 dps.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a - 3*a + 2*a + (-5*a + 3*a + 0*a)*(2 - 3 + 3) + 2*a + 2*a - 3*a + (1 + 0 + 0)*(a - 1 + 1) - 6 - 4*a + 6.\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 254, 277, 318, 377, 454?\nAnswer: 549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 493175?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4*j - 251 = 233, 5*c - 5*j - 2320 = 0. Suppose -244 = 21*y - 26*y + 4*u, 5*y + 3*u = 272. Calculate the highest common divisor of c and y.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -129 - -123.7. Let m = k - -5.29878. What is m rounded to 4 decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 equal to 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -0*q - 3*q + 492, q = -m + 98. Let c be 758\/11 + -4 + 405\/m. Calculate the greatest common factor of 230 and c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 - -39)*(-6)\/7. Let b be (-4)\/6*9\/j. Let g be (-1)\/6*4\/(-7). Sort b, 2\/11, g in increasing order.\nAnswer: g, 2\/11, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 38 = 2*y, 20*y + r - 242 + 1 = 61 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -1) + 19\/(95\/(-25)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f + 9. Suppose -4*j = 5*x + 59 - 14, 2*j = -10. Let g be b(x). Solve 6 = 2*k, -4*k + 18 = u + g for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.590283755 rounded to 4 dps?\nAnswer: -1.5903","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-6))\/(54\/81)*28\/1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*f + 14 = 16*f + 5*v, -8 = -4*v for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*a - 46*a - 30*a - 104*a = -9996 for a.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8026256 millennia in years?\nAnswer: 802.6256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (17\/(-51))\/(-1 + 2). Let s = 0.6 + -6.6. Suppose 5*p - 9*p = -4. Which is the closest to s? (a) p (b) -2\/13 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*3)**2*-2*-5.\nAnswer: 6840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 113, 3, 17, -71 in descending order.\nAnswer: 113, 17, 3, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + 36 + 13 + -69 - 35?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/10 + 51\/85. Suppose 4*u = -a - y*a + 106, a - u = 106. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(3630)*1 - sqrt(3630)))\/((sqrt(6) - (sqrt(54) + sqrt(108)\/sqrt(2) + sqrt(54) - sqrt(54)))*-3)*-2)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.776247666 to two decimal places.\nAnswer: 2.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 take away 546857280.92?\nAnswer: -546857280.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0669525 rounded to 3 dps?\nAnswer: 0.067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 5*g - 1260 = 0, 4*g = 4*u - 423 + 1439. Let k = -38 + u. Let q = k + 491. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*k - 4*k + 120000. Let v be k*15\/((-12)\/(-4)). What is v rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 2.906634 millimeters?\nAnswer: 0.002906634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 + 29. Let z(b) = -b**2 - 7*b + 2. Let t be z(-6). What is the remainder when (-4)\/16 + 194\/t is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66712 rounded to the nearest 100?\nAnswer: 66700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -605, -1283, -2041, -2879, -3797?\n\"Answer: -40*g**2 - 558*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -5. Suppose -2*o - 2*o - 8 = w*p, -3*p = -2*o + 16. Is 18 a factor of 45\/(-30) + 111\/o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -4*v - 2*m, -6*v - m = -5*v - 2 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -6*o + 30. What is the lowest common multiple of o and 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 118 and 8?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 - 7*h - 8. Let q be g(-4). Suppose -3*o - 1 = c, 4*c + c + q*o + 5 = 0. Put c, -4, -20, 0 in increasing order.\nAnswer: -20, -4, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 1\/2, 7\/2 in decreasing order.\nAnswer: 9, 7\/2, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*m**3 + 239*m - 667*m + 217*m + 10 + 212*m - 2*m**2 + 3*m**3 to the form b*m + h*m**2 + u + g*m**3 and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2989 (base 10) in base 14?\nAnswer: -1137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 11) to base 13\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 5*i = -17, t - 9 = -t + i. Suppose t*w - 98 = 2*g, 2*w - 3*g = g + 94. Calculate the remainder when 21 is divided by w\/6 + (-6)\/12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 5*r + 2. Let p be g(-5). Let t be (-4 - -5)\/(p\/16). Calculate the greatest common divisor of 80 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -495344*b**2 + 12*b**3 + 495344*b**2 + 4*b. Let i be (-7)\/(-14) - (-3)\/(-2). Let y(t) = t**3 + t. What is i*q(u) + 4*y(u)?\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = 4*z - 356. Let v be 6\/27 + (-552)\/z. Let l be (-10)\/(-75)*-3*v\/(-6). Which is the nearest to -0.1? (a) 1\/3 (b) -1\/6 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-14))\/(1568\/(-21952))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 11:34 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.854 + 0.824. Let h = -0.03 - i. Let l = -6 + h. Which is the second biggest value? (a) l (b) 0 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1356911681 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a micrometer in nanometers?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of -y**7\/105 + y**6\/12 - 9*y**5\/10 + 34*y**2 + 2. Find the third derivative of g(r) wrt r.\nAnswer: -48*r + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177*i - 60419 = 1166*i + 4045 for i.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12.9 - 12.899999754. What is v rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3*r. Let f(l) = 1. Let y(o) = -d(o) + 4*f(o). Calculate the least common multiple of y(-6) and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + u + 2. Let v(f) be the third derivative of -f**5\/60 + 7*f**4\/12 - f**3 - 13*f**2. What is the lowest common multiple of v(12) and w(0)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of -s**6\/120 - s**5\/20 + s**4\/6 - 2*s**3\/3 + 2*s**2. Let q be c(-4). Let l be (-8)\/q - (2 - 0). Solve l = 2*a - 4 - 2 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13107 and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**3\/(u*u**8))**(-19)\/((u**(-2\/5)\/u)**(3\/7)\/(u\/(u\/u**0))**22) assuming u is positive.\nAnswer: u**(573\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 103511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of 2*z**3\/3 + 31*z**2\/2 + 23*z + 216. What is the remainder when b(-19) is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 + 389*k + 8 - 13 + 88*k - 7 as h + w*k and give w.\nAnswer: 477","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 643 is divided by 232.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2192 divided by 8.\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -n - 5, 663*n - 666*n = -4*l - 6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -14\/5 - 18\/5*x**2 + 6*x + 2\/5*x**3 = 0.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -19 - 9*p**2 - 6*p**2 + 9 - 25*p.\nAnswer: -5*(p + 1)*(3*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 AM and 9:53 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and -4853.\nAnswer: -4849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/490*(-365)\/(-66795)*-305.\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of 2*f**3\/3 + 2*f**2 - f. Let d(v) = -3*v - 3. Suppose 8*g - 15 - 9 = 0. Determine g*d(k) + 2*r(k).\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/4? (a) 1 (b) -4 (c) -3\/1303\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - r = -23 - 1, 2*i = 4*r + 24. Let j = 16 - i. Let d(y) = 2*y**3 + 3*y**2. Let f(k) = -6*k**3 - 8*k**2. What is j*f(q) + 11*d(q)?\nAnswer: -2*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 0 = 4. Let m = 203\/2 - 99. Put q, 2\/5, m in decreasing order.\nAnswer: m, q, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -84, -105, -164, -279, -468?\n\"Answer: -3*z**3 - z**2 + 3*z - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*c + 120 + 48 = 0. Let d = 0 + -2. Let g = c + d. What is the highest common factor of g and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 2*y + 1166, 0 = 5*l + 4*y - 8*y - 5842. Suppose -1635 = -17*p + l. What is the remainder when p is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5247 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/22546 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-3*((sqrt(1700) + 0 - sqrt(1700)) + -2) + 4)*-3)**2.\nAnswer: 901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3*x**2. Let a(s) be the first derivative of 0*s + 39\/2*s**2 + 68. Determine u(a(c)).\nAnswer: -4563*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 36*t**3 - 2*t**2 - 6*t. Let c(m) = 35*m**3 - 3*m**2 - 7*m. Calculate -2*c(i) + 3*r(i).\nAnswer: 38*i**3 - 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 492013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1*((-9)\/3)\/3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 4*u = 28, u + 8 = 3*u. Solve 5 = 5*g + 5*p - 5, 0 = a*g - 4*p - 8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -133?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3080 is divided by 234?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 259 = -253. Suppose -t = -5*m + 18, 2*t - 6*t = -q*m. Solve 5*j - 3*n = -m*n + 2, j - 3*n = -6 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from wyywyuwwu.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -154462 divided by 1\nAnswer: -154462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8\/5, -2\/41, 1\/6, -0.4?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.09 in -46, -3, -458, -2\/5, 5\/7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2 = -4. Let k = -5.57 + 1.57. What is the closest to k in 4, y, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 455, 910, 1365, 1820, 2275?\n\"Answer: 455*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1136 - (-1 + 1) - -4) + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003490402467 rounded to 7 dps?\nAnswer: -0.0034904","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 4*l - 54. Let d be 2 - 5\/((-15)\/l). Let i be -2*(1\/d)\/((-2)\/4). What is the second biggest value in -1, 0.02, i?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*((-6)\/(-15))\/((-20)\/25).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.83 - 26.17. Let x = 61 - 92. Let g = x - c. Sort g, 0, 3.\nAnswer: g, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12408008*-0.5.\nAnswer: -6204004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*z - 1 - 31. What is the hundreds digit of 5*(-7)\/140 + 3697\/z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3664189687 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 1)*((-2 + 3*n + 2)*(-1 - 1 + 5) - 6*n - n + 3*n).\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*x - 5, -g - 1041*x + 4 = -1036*x for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 114 - 16?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6618*f + 8396*f**2 + 6618*f)*(-5*f**2 + 5*f**2 - 2*f**3).\nAnswer: -16792*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1737, 6917, 15551, 27639, 43181, 62177, 84627?\nAnswer: 110531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -5, 435, -2\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-6) - (-50)\/(-60)*-10?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 67*o**2 + 130*o + 5. Let v be t(-2). Solve -v*m + 18*m = -5*p + 10, 26 = -3*m + 5*p for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1884, 17, 86 in decreasing order.\nAnswer: 1884, 86, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -339161674.8 rounded to the nearest 1000000?\nAnswer: -339000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -353*q**3*u**4 + 2153507*q**3*u + 37*q*u**4 - 2*u**2 wrt u.\nAnswer: -8472*q**3*u + 888*q*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrra when four letters picked without replacement from rrrrrarrrrrarrrrrarr?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -48 - 4b?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 16. Suppose -l*h + 4 = -17*h. Solve h*t + 9 - 21 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 31073?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 3*w**2 - 5*w + 6. Let m be q(4). Let c be (2 + -1)*(16 - 14). Suppose c*u - 5*b = 6*u + 5, 0 = -u + 4*b + 25. Put 4, u, m in decreasing order.\nAnswer: u, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10 + -58?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -131*g**2*r**2 - 13*g**2 + r wrt r?\nAnswer: -262*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 784 and -19?\nAnswer: 803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -62623 + 1057?\nAnswer: -61544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -729*t - 704*t + 1662*t + 13511 for t.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 0, -2*z + 2 = 3*p + 5. Sort p, 3, 1, 10.\nAnswer: p, 1, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of 5*a**4\/8 + 7*a**3\/3 + 20*a**2. What is the derivative of d(b) wrt b?\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3118 times -0.05\nAnswer: 155.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y**2 + 3*y**2 - 4*y**2 + y**2 + 27*y**3 to the form s + n*y**2 + g*y**3 + l*y and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -6251 (base 9) to base 2\nAnswer: -1000111100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7399 and 63679.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 0 + 2 = -2*k, -4*o - 5*k + 23 = 0. Let i = -244\/3 - -1883\/24. What is the common denominator of (-41)\/80*o*-12 and i?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 26\/(-6) + 3\/9. Let i be 2\/u + 10\/4. Suppose o + i*o - 147 = 0. Does 24 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1682*b + 127 + 1153 + 554*b + 559*b + 566*b.\nAnswer: -3*b + 1280","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 15*c - 84. Does 27 divide m(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 869094.\nAnswer: 2, 3, 53, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ui when two letters picked without replacement from {d: 1, h: 1, u: 2, o: 1, y: 1, i: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1\/(-1))\/(43\/(-43)))\/(1\/(-7)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67148104 is divided by 1311.\nAnswer: 1306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 100856 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.03 in 9, -2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 49640 and 1530.\nAnswer: 446760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 691660 is divided by 138330.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 32912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(1088)*5 + (sqrt(1088) + -3 + 3)**2 - (5 + sqrt(1088) + -4 - ((sqrt(1088) + 4)*-1)**2).\nAnswer: 96*sqrt(17) + 2190","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*z + 3 = -35*z. Solve -24 = -4*g + g + 3*x, -6 = -z*g - 3*x for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + 0 + 10\/(-2). Let i(n) = 14*n**2 + 5*n - 11. Let u(w) = -5*w**2 - 2*w + 4. Let o(j) = -6*i(j) - 17*u(j). What are the prime factors of o(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -705*g**2 + 1. Let m(w) = -w. Calculate m(o(s)).\nAnswer: 705*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -12*f + 16*f - 257972, -4*f + 3*c = -257930. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 59827.5t?\nAnswer: 59827500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-32))\/(1\/(-8)*-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169765*p + 4 - 2 + 0 - 2.\nAnswer: -169765*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1391558\/57 less than or equal to -24413?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j*j*j**1)))**(-38)\/(j**9\/j**(-1\/9)) assuming j is positive.\nAnswer: j**(-1108\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 5*w = -0*r + 15, 2*w = -5*r - 13. Let g = -54706\/13 + 4208. What is the nearest to r in g, -0.2, -19?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 11 = -f + 4*w, 5 = -w. Suppose 6 = 9*b - 30. Solve 3*x + 3*k - k = f, 2*k - b = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + 0 + (94 + -6)\/(-8). Is (0 + 1)*(1 - (i - 4261)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/16, 1, -9\/5, 1\/4, -1 in ascending order.\nAnswer: -9\/5, -1, -5\/16, 1\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1593877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + -13156.\nAnswer: -13156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-13 + 690\/42 + -6)\/((-2)\/168). What is the highest common factor of 1896 and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1114049 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-11)\/o**9)**9)**(-19))**(-2\/101) assuming o is positive.\nAnswer: o**(-6840\/101)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -b + 12, 81*y = -4*b + 142*y + 504 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 2*c + 5, -2*c - 2*m + 5 = -3*m. Let a(u) be the first derivative of -u**3\/3 + 4*u**2 - u - 1. Let n be a(8). Which is bigger: c or n?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 5 (b) 2\/19 (c) 0.2 (d) 3 (e) -445 (f) 4 (g) -68.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11313 + -11?\nAnswer: -11330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 12*m**2 - 25*m + 33. Give t(-14).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 644311 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 7*d**2 + 3*d + 20. Let v be o(6). Let n = 6 + -9. Let z = 113.7 + -113.8. Which is the nearest to -1\/4? (a) v (b) n (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73689 - 75717 = 156*s for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 88 - (212 + -102) - (10 - (0 + 0))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 177 - 176 + 217*w**2 + 4*w + 10*w**2 + 28*w**2 in the form m*w**2 + o + d*w and give m.\nAnswer: 255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 860\/135450*(-7 - 0)\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ckt when three letters picked without replacement from {c: 1, t: 1, k: 7}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3705 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 7*f**2 + 3*f - 2. What is the tens digit of b(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a and 1 h when four letters picked without replacement from {a: 4, h: 5, q: 6}.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/9, 823, -4\/7?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 - 2*y - 8. Let o(d) = -d**3 + 7*d**2 + 7*d + 10. Let v be o(8). Suppose 0 = -v*z + 17 - 9. Let i be a(z). Solve i = 2*t - 9 + 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -483.9428 + -0.0572. Let a = 483.929 + t. What is a rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 1.1. Let t = 3.9 + y. Which is the third biggest value? (a) t (b) 1 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/39 and -85\/768?\nAnswer: 9984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.7 from -57255950.1427.\nAnswer: -57255949.4427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3628, -4, 5\/4, 182?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 753 by 1.\nAnswer: 753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 divided by -5?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 85407?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -293637, -587279, -880917, -1174551, -1468181, -1761807?\nAnswer: -2055429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -138239 >= -138237?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 152 and 380?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 39 divided by -572\nAnswer: -3\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/6088 or 1?\nAnswer: 5\/6088","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63650, 63616, 63558, 63464, 63322, 63120, 62846?\nAnswer: 62488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.176 - -5.176. Let h = 59\/9 - 62\/9. Which is the fourth biggest value? (a) -0.2 (b) k (c) h (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124*a**2 - 124*a**2 - 4*a**3.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120962.82 minutes to hours.\nAnswer: 2016.047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 31*i + 122. Let b be h(-4). Suppose -y = 2*y - 54. Let a = y + -13. Sort b, 1, a, 0 in increasing order.\nAnswer: b, 0, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 51a + -31?\nAnswer: 4d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - v = 0. Let f be 1 + -1 - v\/(-2). Does 13 divide (-2 + f)\/(2\/(-20))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 0 (b) -4 (c) -3 (d) 2253\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -147 - 4?\nAnswer: -14b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/6)\/((-4)\/(-18)). Let u be 35\/20 - z\/12. Suppose u*y = -4*j + 5*y + 521, -5*y = -j + 109. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 2*j**2 + j + 1046. Let f be g(0). Let u = f + -710. Calculate the common denominator of 109\/40 and 0 + -1 + (-1778)\/u.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 267 + -236. Suppose 5*p + 492 = w, 35*p - x*p = w - 496. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v**2 - 4. Let k(w) = -3*w**2 - 7. Let y = -7 - -11. Let o(u) = y*k(u) - 7*q(u). Let j(x) = 2*x**2 - 3*x**2 - 3*x**2. Give j(o(m)).\nAnswer: -16*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -10 + (-30 - (-68 - -40)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.06 + 0.04. Let f = 0.5 - i. Let a = 47\/3 + -16. Put f, 2\/3, a in descending order.\nAnswer: 2\/3, f, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 3*x + 3, x - 14 = -p - 3*p. Suppose -5*r - j = -p, 4*r - 3*j + 9 = -0*j. Let y be (r - (-2)\/(-2)) + 2. What is the biggest value in 0.4, y, 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(117))*-4)**2 - ((sqrt(143) + sqrt(143)*-1)\/sqrt(11) + (sqrt(468) + -2 - sqrt(468)))**2)*6.\nAnswer: 576*sqrt(13) + 11304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -7*a - 6. Suppose 0 = t - 3*z + 7, 0*z - 37 = -5*t - 3*z. Give b(t).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -122224130?\nAnswer: 122224130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -5*d + 43, 5 = -d - 5*q + 19. Solve -d = -3*b - r, -r - 7 = -2*b - 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + -6 + 11 + (-4 - (-13 + 6))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 2 - (23 + -20).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/2034 - -46799\/34578. Let i = n - -5\/34. Let -8\/3*v**2 + 0 + 7\/2*v**3 + 2\/3*v - i*v**4 = 0. Calculate v.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 578999525 to the nearest integer?\nAnswer: 24062","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.72 and -15?\nAnswer: -55.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4799?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 0*f**3 - 3*f + 5*f**2 - 4 + 4*f**2 - 3*f**2 - f**3. Let g be r(5). Suppose 11*z - 40 = g*z. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16590000 to the nearest 1000000.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1650192 a multiple of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*v + 9 + 4*v - 9 in the form y*v + r and give y.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6\/5 (b) -1\/2 (c) 86\/7 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -27428*j + 54635. Give d(2).\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7875952 a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 12*a - 12*a**3 + 3\/5*a**2 + 0 - 3\/5*a**4 = 0.\nAnswer: -20, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 192624*i**3 + 4*i**2 - 2 - 192625*i**3 - 120*i - 16*i + (-3*i**3 + 4*i**3 + i**3)*(-2 + 2 + 1).\nAnswer: i**3 + 4*i**2 - 136*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10854 is divided by 1772?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -5*t - 61. Let j be m(-12). Calculate the common denominator of (39\/(-1716))\/(j\/188) and -6\/91.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 54 + -101. Let x = y + 69. What is the lowest common multiple of 8 and x?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.24422*0.3.\nAnswer: 0.073266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/6*w**3 - 7\/6*w**2 + w + 0 = 0 for w.\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + 3 - -6) + (32 - 41)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.7, -6, -2\/3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 + (110\/(-4) - -13))\/((-6)\/(-36))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1588, 1584, 1578, 1570, 1560?\nAnswer: 1548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5932 is divided by 2347?\nAnswer: 1238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10469 is divided by 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7301 + -7290. Solve -n*w = -2*g - 16*w - 28, 3*w = -4*g - 28 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 105b97 + -8?\nAnswer: 105b8e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - 11112022202200220?\nAnswer: -11112022202201001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**4\/7 + 8*t**3\/7 - 4*t**2\/7.\nAnswer: -t**2*(t - 2)*(3*t - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + 21 - (-67 - -116)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) 3\/4 (c) 9 (d) 7.126\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274 is divided by 85?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14467 and 111?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*2 - (-15 + 13). Let o(s) = 12*s**2 - 15*s. Let g be o(c). Let y = 553 - g. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of 4*s**2 - 2\/3*s**3 + 1\/30*s**5 + 0 + 1\/360*s**6 + 0*s + 1\/12*s**4. Let y(h) be the first derivative of w(h). What is y(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, -2\/3, 2\/9, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21419, 2, 21, -5 in increasing order.\nAnswer: -21419, -5, 2, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*o - 2 + 22*o**3 + 12*o + 24*o + 11*o - 122*o in the form b*o**3 + j + g*o + p*o**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/66 - 86\/(-11). Suppose 4*l + 0*l = 2*x - r, 5*l = -4*x - 23. What is the closest to 2 in -1\/3, l, 5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + 12*j - 11. Let t be l(11). Let n be (48\/(-10))\/((-3)\/(-10)). Do n and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 499416 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*s - 1 + 6*s - 8 + 7 to w*s + i and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**2 - d - 13 + 2*d + 2*d**2 + 14 + d**4 to r*d**4 + h + a*d**3 + g*d**2 + m*d and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-120)*4*-2.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -4*k**3 + 3*k**2 - 3*k - 3. Let d(u) = -4*u**3 - 4*u + 4*u**2 + 0 - u**3 - 4. Determine -3*d(z) + 4*t(z).\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 382 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 195823455?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 447445162 to the power of 1\/5, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -85 + 47 + -7 + -13 + 32\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r - 1. Let j(s) = 3*s + 4. Let t(v) = -7*b(v) - 2*j(v). Let w(i) = 5*i - 1. Calculate 4*t(g) - w(g).\nAnswer: -g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0343 + 3.9657. Which is the closest to 0? (a) 3.7 (b) v (c) -2\/19 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70936687 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pppq when four letters picked without replacement from {p: 18, q: 1}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2\/5, 3, 0.5, 0.3 in ascending order.\nAnswer: 0.3, 2\/5, 0.5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2069?\nAnswer: 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 13684 times 21330?\nAnswer: 291879720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 327241.9 milliseconds to nanoseconds.\nAnswer: 327241900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 6*g**2 - 44*g + 13. Let r be y(21). Suppose -r = 12*t + 2801. Let a = t - -769. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t**2 - 2*t + 1. Let f(a) = a**3 + 3*a**2 - 3*a + 4. Let q be f(-4). Suppose 1 = n - q. Calculate r(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8823761?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in -14, -0.2, 3?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h - 27 = 5*f, -4*h + 2*f + 4 = -3*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3499 and 5.\nAnswer: 17495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(171)*1 - 5*(sqrt(171) + sqrt(171) + sqrt(171)*2))\/(sqrt(72)\/(sqrt(48)\/sqrt(6))*2).\nAnswer: -25*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239*c - 224*c + 90 = 0 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -0.5, -6\/193, 3, -5\/2, 2 in decreasing order.\nAnswer: 3, 2, -6\/193, -0.4, -0.5, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -7*r + 2*r. Suppose -3*n = 5*t - 0*t - 12, 3*n = 12. Let o = t + r. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2955522*c**2 - 13366374*c?\nAnswer: 5911044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of 0*b - 24 - 6*b**5 + 74\/3*b**3 + 0*b**4 + 0*b**2. What is the third derivative of d(k) wrt k?\nAnswer: -720*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -22 in descending order.\nAnswer: -2, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (60\/40)\/(12\/6)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*w + 546 + 627 = 413 for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -54 - -252. Suppose -8*k = -14*k + m. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 11, 17, 29, 47, 71, 101, 137?\n\"Answer: 3*r**2 - 3*r + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -89\/13033452 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -2, 329, 5, 6, -3 in decreasing order.\nAnswer: 329, 6, 5, 3, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.023 and 54.\nAnswer: 54.023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/1251 and 4\/123435.\nAnswer: 17157465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 bigger than 0.04?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**6*x)\/x*x)**(-6\/23) assuming x is positive.\nAnswer: x**(-42\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -16349 - -68349?\nAnswer: 52000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 5*k**2 - 2*k - 1. Let x be w(-3). Let d = -14810 + 88559\/6. Let q = d + x. What is the biggest value in 0.6, q, 1\/4?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 * 25596\nAnswer: 511920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 306 is divided by 21?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110111122211 + 10002?\nAnswer: 110111202220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f\/((f*(((f\/f**5)\/f)\/f*f)\/f)\/f)))**4*f\/(f*f**(1\/7))*f\/(f*f\/(f**(-8)*f)) assuming f is positive.\nAnswer: f**(-197\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -48161850 divided by 2550\nAnswer: -18887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-1)*-1)\/(7\/(-14)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 12) to base 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 48 - 47. What is the smallest common multiple of 156\/12 - 5\/x and 134?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*s - 13*s = 60. Suppose s*n - 20*n = -2070. Does 18 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1089 and 1001.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9340*q - 8955*q = 40040 for q.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48657 and 147?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 k when four letters picked without replacement from {r: 6, k: 2, p: 3, s: 5, d: 2}?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -22, -135, -424, -973, -1866, -3187?\n\"Answer: -14*d**3 - 4*d**2 - 3*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -152 - -151.8. What is the third biggest value in m, 36, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of 14*g**5\/65 - 37*g**4\/26 + 76*g**3\/39 - 8*g**2\/13 + 5. Suppose k(s) = 0. Calculate s.\nAnswer: 0, 2\/7, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/1325274 and 64\/11264829.\nAnswer: 22529658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 25 - 10 - (-60 + -6 + 5)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 3 + -29 - (-105 - -92)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40009935 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26565624 to the power of 1\/2, to the nearest integer?\nAnswer: 5154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1010891903?\nAnswer: 7, 19, 1085813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/y**(-2)*y))**(3\/29)*(y*y**(-1\/62))**(-40))**(1\/47) assuming y is positive.\nAnswer: y**(-35659\/42253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1058.93 to 0 dps.\nAnswer: -1059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(320) - (sqrt(320) + -1)*4) + -3 + (sqrt(1815)*-2)\/(sqrt(108)*-2)*6)**2.\nAnswer: 78*sqrt(5) + 854","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2501 * 0.4\nAnswer: 1000.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 9) to base 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7101300 and 180?\nAnswer: 21303900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1113)\/1855)\/((-61)\/(-30) - 2) - 0?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of v**5\/60 - v**4\/12 - 2*v**3\/3 + v**2. Let o be r(-4). Solve 0 = 2*u - 7*u - o for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*l**3 + 13*l**3 - 188*l + 13*l**3 - 187*l - 40*l**3 + 375*l.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-6) - 1)*(-135)\/(-2205)*1813.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0*((-1)\/5)\/((-6)\/(-15)). Let n(t) = t + 7. Let m be n(-5). Solve 0 = u - k - 0*k + 4, m*u - 3*k + 13 = q for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 128102 and 1014.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/3)\/(602\/(-1008)). Is n >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -88*k - 5. Let d(s) = -147*s - 9. Let t(q) = -3*d(q) + 5*y(q). Let m(r) be the second derivative of -r**3\/3 - r**2 + r. What is 4*m(x) + 5*t(x)?\nAnswer: -3*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1748\/9 - -196. Calculate the common denominator of g and 103\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 214106.1273 rounded to the nearest 1000?\nAnswer: 214000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 166 + -164. Solve 3*t = -5*v - 30, g*t = -3*t + v - 22 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97.2143 millennia to centuries.\nAnswer: 972.143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3318755411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of 11*n**4\/4 + 4*n**3\/3 + 178*n - 258. Differentiate j(i) wrt i.\nAnswer: 33*i**2 + 8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 921217?\nAnswer: 11, 83, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -50858 by -59.\nAnswer: 862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of 3*k + 1\/39*k**3 - 1\/130*k**5 + 0 - 1\/39*k**4 + 2\/13*k**2. What is i in h(i) = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 + -0.2. Let n = 0.17 - 0.17. Which is the nearest to z? (a) n (b) -3\/5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.132 (b) 3\/38 (c) -3 (d) -5 (e) 3 (f) 2.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.69 and -0.06.\nAnswer: 0.0414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2189, -2155, -2123, -2087, -2041, -1979, -1895, -1783?\n\"Answer: c**3 - 7*c**2 + 48*c - 2231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g = 140 - 428. Let i = 22 + -20. Suppose 3*d + 6 = 0, -5*r - 2*d = i*d - 52. Calculate the least common multiple of g and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lebeecbelb. Give prob of sequence be.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31 + 31. Let d = 20 + -39\/2. Which is smaller: d or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of 12*n**5\/5 + 13*n + 1. What is the derivative of x(l) wrt l?\nAnswer: 48*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2287\/184 + 214\/23. Find the common denominator of u and 31\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 499 and -0.1.\nAnswer: -49.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.21, 0.4, 1.2.\nAnswer: -0.21, 0.4, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.2, -0.2, 21669.\nAnswer: -0.2, 1.2, 21669","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43 + -41. Suppose 0 = 3*f + 2*f + p*v + 18, 5*f + 5*v + 30 = 0. Which is bigger: 0.03 or f?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 6:46 AM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6119, -6218, -6321, -6428?\nAnswer: -6539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -3 - (9 + (-18 - -10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - s + s)*(7*s**3 - 2*s**3 - 4*s**3 + (-7*s**2 + 4*s**2 - 5*s**2)*(-s - 2*s + 2*s)).\nAnswer: -9*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3615, 3599, 3583, 3567?\n\"Answer: -16*v + 3631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 12:59 AM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, q: 3, y: 10, s: 2}. Give prob of picking 1 z and 2 s.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 6:41 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - b = 12. Does 6 divide 5\/2*b\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 48 (b) 1\/5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 4, -32, 32 in decreasing order.\nAnswer: 32, 11, 4, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of 5\/12*f**4 + 1\/60*f**5 + 0*f + 5\/2*f**3 - f**2 + 0. Let u be p(-10). Solve -3*q - 2*q + u = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 5*l**5 + 1890*l**4 + 193185*l**3 + 2773640*l**2 + 14020260*l + 23587920 = 0?\nAnswer: -181, -6, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 291211 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54059770.\nAnswer: 2, 5, 29, 131, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 2, -4, 23.\nAnswer: -4, 2, 12, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -61220 - -61220.40999. Let f = s + -0.379973. Let b = f - 0.03. Round b to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6 - (-474)\/30)*5. Suppose -g*t = -58*t + 270. Solve -t = 10*q - 4*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 14840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1153954140?\nAnswer: 2, 3, 5, 239, 80471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*h - 9201 + 24513. What is the greatest common factor of h and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 573751 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 10 = -2. Let o(m) = 52*m + 7 - j - 5. Let w(g) = g. Calculate o(w(t)).\nAnswer: 52*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -19, -20, -9, 20, 73, 156, 275, 436?\n\"Answer: h**3 - 8*h - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*v - 83*v + 29*v - 83*v as g*v + x and give g.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1380667, -1380685, -1380703, -1380721, -1380739, -1380757?\n\"Answer: -18*v - 1380649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y - 4. Let p be d(-3). Suppose 0 = p*h + 2*h - 140. Calculate the remainder when 65 - (-20)\/(-15)*39\/(-26) is divided by h.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -20 (b) -41 (c) -115 (d) 0.4 (e) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 AM and 12:17 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 84\/(-72) + 5525\/4800\nAnswer: -1\/64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - 129*v + 2282. Give o(21).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - -1)\/(1 - 0). Factor p + 1\/2*x**4 + 1\/2*x**3 + 0*x - 1\/2*x**2 - 1\/2*x**5.\nAnswer: -x**2*(x - 1)**2*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m + 8. Let g be u(-6). Let y be g + -1 - (-1 + 0). Suppose -y*w + 14 = -28. What is the remainder when w is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = 477*u - 470*u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in 0.4, 1, -349, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3 + 29*k**2\/2 + 305*k\/2 - 39.\nAnswer: -(k - 13)*(k + 6)*(4*k - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a + a8b98?\nAnswer: a8ba6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4581 + 17604 = -1479*a for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.114 greater than or equal to -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.71 + 3.9. Let i = q - -2.31. Let n = 2 - i. Which is the second biggest value? (a) n (b) -2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 787 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: Suppose -4*a - 1 + 9 = 0. Suppose v - 4*o = 52, a*v + 3*o - 61 - 32 = 0. What is the greatest common factor of v and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 4 + -14 - -11?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4725575 divided by 5\nAnswer: -945115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 438*x + 51 = 455*x + 3*i, -4*x = 2*i + 1 - 13 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h + 11. Let s(o) = -4*o - 50. Let t(d) = 9*m(d) + 2*s(d). Let f(b) = -4*b + 4. Suppose -3*u = -y + 1, 2*y - 4 = -3*u - 47. Determine y*t(n) - 3*f(n).\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 6 + 39. Let r(o) = -o**3 + 9*o**2 + 8*o - 4. Let a be r(-7). Let g be a\/6 - 1\/(-3). Calculate the highest common factor of g and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -277968 divided by 4?\nAnswer: -69492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nxnnnnnxnnxnnnxxnn. What is prob of picking 3 x?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -2206?\nAnswer: 2207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1700 divided by -170.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3436489, -3436505, -3436511, -3436501, -3436469, -3436409?\nAnswer: -3436315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of -s**3\/3 - s**2\/2 - 9*s. Let i(v) be the second derivative of v**3 + 3*v**2\/2 + 4*v. What is -11*h(m) - 4*i(m)?\nAnswer: -2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 103809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 7 = 72*u - 68*u, -3*g + 6 = u. Factor -2\/11*z**u + 14\/11*z**2 + 0 + 16\/11*z.\nAnswer: -2*z*(z - 8)*(z + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -532, -1147, -1612, -1927?\nAnswer: -2092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2720 and 5120?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1*(9\/(-36))\/((-2)\/6)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 8:21 AM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2*((sqrt(560)*4 - sqrt(35))\/(sqrt(42)\/(sqrt(24)\/sqrt(4))))**2.\nAnswer: 2254","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 18473 = -5*q, 5*h = -3*q + 23724 + 68753. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -5*x**2 - 40*x + 6. Let c(g) = -7*g**2 - 39*g + 8. Determine 2*c(o) - 3*u(o).\nAnswer: o**2 + 42*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i**3 - 20*i**2 + 2*i**3 - i**3 + 39 + 26*i + 16. Suppose 5*s - 15 + 125 = 0. Is j(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/200 and 43\/40.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of i**6\/70 + 81*i**5\/140 + 6*i**4 - 14*i**3 - 422*i. Factor g(k).\nAnswer: 3*k*(k - 1)*(k + 14)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -6*s - 15, 4*s - 90 = -5*l. Solve -5*k + 3*n = 6*n + 11, 0 = -4*k + 2*n - l for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -f + 5 - 24, -55 = -5*c - 5*f. Let x(p) be the third derivative of 0 + 0*p**5 + 0*p**4 + 0*p**c + 1\/70*p**7 + 3*p**2 + 0*p + 0*p**3. Factor x(y).\nAnswer: 3*y**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26398752 and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.911 and -1.5?\nAnswer: 1.3665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-5)*-1*(-120)\/(-12).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -102 divided by 102\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**4\/5 - 28*h**3 - 1318*h**2\/5 - 236*h = 0. Calculate h.\nAnswer: -59, -10, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 19249253413 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 47454?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*c*g*u**3 - c*g + c*u**3 - 4*c*u**2 - 6*g*u**3 + 2 with respect to g.\nAnswer: 2*c*u**3 - c - 6*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a\/(a\/a**8)*a)\/a)*a)\/(a*a**(2\/19)\/a*a))**(-11)\/(((a\/a**(-5))\/a*a)\/a**(2\/9))**(-1\/21) assuming a is positive.\nAnswer: a**(281653\/3591)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -1 + 4 + 5 + -9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/30 - (0 + 0). What is the closest to -0.1 in z, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 955 + -655. Let s = f - 300.247. Let i = s + -0.043. What is i rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 889 = -173. Calculate the remainder when d is divided by 149.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1331))**2*2 + sqrt(1331) + 0 + sqrt(1331) + -1.\nAnswer: -22*sqrt(11) + 2663","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y - 29. Let a(f) = 6*f - 86. Calculate -5*a(l) + 14*b(l).\nAnswer: -2*l + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -303 - -1211\/4. Let x = 1.3 - -4.7. Let n = -46.7 - -41.7. Which is the closest to -2? (a) z (b) x (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21860 rounded to the nearest 1000?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + 17*f**2 + 47. Let v be n(17). Suppose -v*k + 33*k = -224. Solve 5*m + 21 = -s, 2*m + m = -4*s - k for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.19 + 0.07. Let u = 0.05231739 + 0.06768382. Let i = u + c. What is i rounded to seven decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-13)\/(-65)*65\/(-39). What is the nearest to -1.5 in m, 3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, w: 2, p: 1, u: 3, g: 6}. What is prob of picking 2 g?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11749 divided by 2.\nAnswer: -11749\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10693682.\nAnswer: 2, 773, 6917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -86287725 by -25.\nAnswer: 3451509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of 2*y**6 - 11*y**2\/2 - 5. What is the second derivative of c(v) wrt v?\nAnswer: 240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23073.000010723 - -23073. What is v rounded to 6 dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2 + (11 + -3)\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2286 and 24.\nAnswer: 9144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -973.93 and 2.\nAnswer: -971.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -133 - -137. Suppose -6 - 10 = q*x. Let f(o) = -25*o - 32. Is 34 a factor of f(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 6*i**2 + i - 2. Let f be p(-5). Suppose 2*u + 3*s = 428, 0 = 4*s + 2 - f. What are the prime factors of u?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + 4 + sqrt(1200)*-2 + 1)*-2)**2.\nAnswer: -1280*sqrt(3) + 19264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -64? (a) 340 (b) -0.1 (c) 0.8 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7)\/(2 + (-57)\/30). Let h be (-154)\/p - 1\/5. Solve -v = -h*v + 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -47 - -142\/3. Let w = 2.95 - 0.95. Sort z, w, 2\/5 in decreasing order.\nAnswer: w, 2\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-156)\/10)\/((((-13500)\/(-81))\/(-125))\/((-10)\/(-12)))?\nAnswer: 39\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 244, 247, 250, 253, 256, 259?\n\"Answer: 3*m + 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 52, 68?\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - z - 3)*(7 - 7 - 7*z) + 4*z**2 - 5*z**2 + 0*z**2 to f + q*z + g*z**2 and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/2 + (-154)\/(-484).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52185273 is divided by 2418?\nAnswer: 2415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55 divided by -116523.\nAnswer: -5\/10593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j - 2. Let p be i(-4). Suppose g - p*g = -15. Suppose 10 = 4*a - c, g*c + 1 = 7. Solve -21 = -3*l - 0*l - a*s, 0 = -2*l + 5*s - 7 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -105, 9513 in descending order.\nAnswer: 9513, 0, -4, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + 7 + 1 - -1. Suppose 0 + u = h. Solve b + 0*w + w - 2 = 0, 2*w - h = -4*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + -5 + 1\/(-1))\/(-3). Solve -15 = 2*a + 5*c - 3, 0 = a + y*c + 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -21*j**2 + 5*j + 56. Determine p(0).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + -2)**2*6 - (1 + sqrt(275) - sqrt(11)).\nAnswer: -28*sqrt(11) + 89","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 85361749?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 4) in base 2?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 71.88 and -61927.\nAnswer: -4451312.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3589 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 416\/48*(1 - -2) - (-14 + 1).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111111011000 (base 2) in base 3?\nAnswer: 12120020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 233232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -11*p**2 - 30 + 16*p**2 + 30. Let u(n) = -43*n**2. Calculate f(u(q)).\nAnswer: 9245*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -52744190*i**3 + 2*i - 1710610.\nAnswer: -316465140*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*q**2 + 3*q**3 + q**3 - 2*q**3 + 15*q**2 - 2 in the form d*q**2 + t + c*q + p*q**3 and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 243 and 1557?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -u - 1, -3*l - 5*u - 41 = -50 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 4:54 PM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/6*1*18\/228?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 540722544?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 73.4 - 73. Let o be (2 - 3) + (3 - -3). Let w = -2\/435 - -296\/1305. What is the second smallest value in w, o, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1278*b**3*m**2 + b**3*m + 23*b**2*m**2 - b*m**2 + 22*b*m + 4*b + 3908*m**2 - m wrt b.\nAnswer: -7668*b*m**2 + 6*b*m + 46*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30518, 29790, 29062, 28334?\nAnswer: 27606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 299043035 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**3 + 14*l**2 - 34*l + 167. What is g(-10)?\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 6:41 PM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 316*f**2 - 2 - 338*f**2 + 2. Let z(y) = -4*y**2. Let n(m) = 2*o(m) - 12*z(m). Let p(t) = -2 + 2 + 13*t**2. Give p(n(s)).\nAnswer: 208*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + 0 + 4 - -3. Suppose 3*w + 5*s + 3 = 0, s + 0*s = 5*w - 23. Solve w*o = -t + 4*t - b, 0 = 5*o + 5*t + 15 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z + 1. Let q(k) = k + 2. Let p be q(-5). Let x be b(p). Suppose x*v - 11 = 17. Is 4 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 11*d = 14*d + 270 - 237, -5*d = -7*i + 33 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335443 is divided by 8400.\nAnswer: 7843","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 51 = -3*b - 2*v, -b = 5*v + 1. Suppose -b = -4*d - 4. Suppose -7 + 3 = -2*g + o, -g - 5*o = 20. Put g, d, 1 in ascending order.\nAnswer: g, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 16550, 16552, 16554, 16556, 16558, 16560?\n\"Answer: 2*c + 16548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 35957345?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 441?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, v: 3, f: 1}. Give prob of sequence xvv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -969*f**5 - 940*f**5 + 1913*f**5 - 2*f + f - 1128 + 169*f**3 wrt f?\nAnswer: 80*f**3 + 1014*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211360273 is divided by 37.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2121*w - 22. Suppose -o + 7*z - 8*z = -2, 5*z = -3*o + 8. Is n(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -481?\nAnswer: 192.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5223 = -1019*o - 38850 for o.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216) - (sqrt(1216) + -3 + sqrt(1216))**2) + -1 - sqrt(1216).\nAnswer: -4874 + 96*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0356630857 to four decimal places.\nAnswer: -0.0357","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + -26603?\nAnswer: -26603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -5. Let n be (-8)\/32 + (-34)\/(-8). Let r = n - h. Solve -4*i = 4 - r for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127368 is divided by 138?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - (-5 + 4)) + 70. Let h = s - 45. Calculate the remainder when 66 is divided by h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t - 82*t**2 + 0 - t**2 + 0.\nAnswer: -83*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 99 + 93 = 0. Suppose o - 5 = -3*o + w, 4 = o - 3*w. Which is the nearest to o? (a) 0.3 (b) k (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.7 + 6. Let i = 0.2 - v. Let r = 16\/7 - 2. What is the closest to r in -0.5, 2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 247 - 79 = 0. What is the lowest common multiple of 18 and x?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/10 of a millennium?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5103454 to the nearest integer?\nAnswer: 2259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15100607.\nAnswer: 17, 888271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -51.53 - 0.47. Let u = 38 + j. What is the closest to u in -4, -4\/9, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27) + 0)*-4 - (sqrt(108) + 0)) + 3.\nAnswer: -18*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -234569288 divided by 3154\nAnswer: -74372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -451b - 59?\nAnswer: -4578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 2 + 1)*(41 - 11 + 3 - t**3) in the form q*t**2 + x*t + s*t**3 + g and give g.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 15*y**2 - 12*y + 12. Let h(i) = 16*i + 28*i**2 - 51*i - 1 - 29*i**2 + 36*i. Suppose -z = -2*p + 70, 0 = 5*p + z - 127 - 55. What is p*h(g) + 3*a(g)?\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1945033 litres in millilitres?\nAnswer: 194.5033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -40866, -163504, -367902, -654060?\n\"Answer: -40880*h**2 + 2*h + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7929585397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, b: 3, j: 4}. Give prob of picking 4 j.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 10. Is -2\/5 <= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/18*-3)\/((-42390)\/(-4239))?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -5*c**3 + 546*c**2 - 4*c - 45. Let g(i) = -4*i**3 + 456*i**2 - 4*i - 40. Let j(y) = 6*g(y) - 5*n(y). Let u = -13 - -7. Determine j(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*x - 453*x**2 - 524*x**2 + 981*x**2 to t*x**2 + n*x + c and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15)\/(-25) - (-34)\/10. What is the units digit of (n\/(-3))\/(2\/(-60))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*6\/16)\/(100\/(-1200)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 142410 divided by -141.\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1411523 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 209963?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 80\/7, 1, 3, -3.1, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(3)*2)**2 - (sqrt(432) + 0) - ((sqrt(27)\/(sqrt(45)\/sqrt(5)))**2 + sqrt(3) + (-2*sqrt(147))**2).\nAnswer: -582 - 13*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 165 and 81837888.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -17, -36, -55, -74?\n\"Answer: -19*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1180 a factor of 71950657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 - 108 - 12 = -22*o for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14020 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9412 + 9199. Suppose a + 425 = -2*q, -2*a = 2*q - 3*a + 427. Is q <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 487*c**2 + 0*c**3 - 11*c**3 - 486*c**2 + (-2*c**2 + 0*c**2 + 0*c**2)*(-2*c + 5*c - c).\nAnswer: -15*c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(3072) + 2 + 5) - (sqrt(3072) + sqrt(3072)*-2*6 + (sqrt(3072) - (sqrt(3072) - (sqrt(3072) + -2 + sqrt(3072) + 0))**2)).\nAnswer: 384*sqrt(3) + 3118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4719 = -81*w - 4395 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of 1\/12*h**4 - 1\/2*h**2 + 43*h + 1\/6*h**3 + 0. Let b(q) = 2*q - 8. Let v be b(6). Determine w(v).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(-6*sqrt(8)).\nAnswer: -sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(14\/(-8))*(-2205)\/(-126)*5\/40?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/5, -1, 0.323?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 5*z + 30 = 0, 16*z - 19*z = 3*c - 27 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 7 + 9 = 0. Put 3, -4, o in descending order.\nAnswer: 3, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 223723387 to the nearest integer?\nAnswer: 14957","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-5*(sqrt(475) + 2) + 0 + 2)**2.\nAnswer: 1800*sqrt(19) + 47824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - u = 11331, 2*x - u = 4272 + 261. What are the prime factors of x?\nAnswer: 2, 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1108*u**2 - 397495*u - 10*u**3 + 397495*u + 1109*u**2.\nAnswer: -10*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*r + 26*r + 10 + 17*r + 30*r.\nAnswer: 4*r + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 2*a - 9*a. Let r(k) = k**3 - k**2 - k + 26. What are the prime factors of r(a)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.512 + 618.488. Let l = -621.1 + i. What is the smallest value in -4, -1\/4, l?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 - 10*l + 11. Let d be h(-10). Let i = 21 - d. Calculate the smallest common multiple of i and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3*y**2 - 53*y + 24. Let i be h(17). Is ((-25 - 1)*-1)\/((-2)\/i) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -3*t + 138, 4*j - 138 = -3*t + 3*j. Let s = 66 - t. Is 10 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -254*y + 256*y = 16 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-90)*16\/(-8)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 10. Is 11 a factor of (2 + p + -1)*-39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*r + 5*r = -192. What is the remainder when 31 is divided by r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - 5*z**2 + z + 1. Let v be s(-5). Let b be (-783)\/45 - v\/10. Let g = 19 + b. Solve -24 = -4*h + n + n, g*h - 24 = 4*n for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 91 = 3*v, 2*v + 0*c = -4*c + 60. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26.18 - 21.9. Let o = 4.48 - f. Which is the fourth biggest value? (a) -0.3 (b) o (c) 4 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 6. Suppose u*s = s + 36. Suppose -14*w + s*w = -650. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.5 less than -263162?\nAnswer: -263182.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 41*d + 4823. Let m be p(-57). What is the highest common factor of 242 and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of -226*w**5\/5 - 593*w**3\/6 + 1587*w. What is the second derivative of m(o) wrt o?\nAnswer: -5424*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14b3aa7 (base 13) to base 14.\nAnswer: c49bbc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(-8)*m))\/m*m*m**(1\/8)*m*m\/(m*m*m**(1\/2))*m*m**3 assuming m is positive.\nAnswer: m**(93\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 3*u - 44. What is the least common multiple of u and 9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8878*l + 7223*l**2 - 8874*l + 17750*l as n + m*l + p*l**2 and give p.\nAnswer: 7223","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (584562\/(-297))\/(4\/(-18)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - 6*x - 4. Let b be y(-4). Let v(i) = 4*i - b*i + 4*i**2. Let s(o) be the first derivative of o**2\/2 - 2038. What is s(v(z))?\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 2223?\nAnswer: -2225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (2*sqrt(112))**2.\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4328726581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - v + 7 = -0, v = -5*h + 13. Suppose -3*n = 2*w - 17, -3*n = 2*w + 2*n - 23. Suppose w*i = 2*i - 4. Put i, 4, h in ascending order.\nAnswer: i, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*a + 83*a - 282352 = 0. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-two fifths of a litre in millilitres?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -52*j**5*k - 398*j**3*k + 2179*j**2*k - 24 wrt j?\nAnswer: -3120*j**2*k - 2388*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*c**5\/5 + 3462*c**4 + 8317443*c**3\/5 - 5569974*c**2\/5 - 8317452*c\/5 + 5552664\/5 = 0. What is c?\nAnswer: -962, -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 7545?\nAnswer: 7545","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b (base 14) to base 12\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41772 = 1989*q - 2047*q - 3423*q for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 1. Suppose -79 = x*f - 367. Let b = -29 - -41. Calculate the greatest common divisor of f and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46519 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -8, -4*b - 3*v = -0*v - 74. Let s be 17\/((-3)\/(-3 + -12)). Calculate the highest common divisor of s and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 0 - 5 + (3 + 5 + 0)*(-2 + 6 - 3))*(1 + 0 + 0)*(2 - 2 + 2)*(-9*k - 9*k - 28*k) to the form z*k + y and give z.\nAnswer: -644","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -1044*d - 12526. Let j be k(-12). Determine r, given that 0*r**3 - 2\/3*r**5 + 5\/3*r**j - 5\/3*r**4 + 0 + 2\/3*r = 0.\nAnswer: -2, -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 6)*(0 - (-3)\/(-3)). Solve -26*t + r = -23*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = 3*m - 7*m. Suppose -q - q + m = 0. Suppose 0 = -4*n + 128 - 12. Calculate the remainder when n is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -15*d**2. Let j(v) = 10*v**2 - 25*v**2 + 18*v**2. Calculate q(j(u)).\nAnswer: -135*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1)\/f)\/f)\/(f**(-2\/7)\/f*f) assuming f is positive.\nAnswer: f**(-19\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 24 (c) -0.1 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -147911.774 rounded to the nearest 10?\nAnswer: -147910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 6 = 16*k - 12*k, -5*d = 15 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 841 + -842. Sort -6\/7, -1\/4, 0.1, k in ascending order.\nAnswer: k, -6\/7, -1\/4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 2:02 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l = -9*l - 28. Let u(q) = -q**2 + 8*q - 9. Give u(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 665 + -660. Which is the nearest to -1\/6? (a) -2\/13 (b) 3 (c) 0.4 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 1 = 7. What is the third biggest value in -4\/9, k, -3, 3\/8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19695 and 260.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7446511 by 3.\nAnswer: 7446511\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 9 = -18. Let s = o - -1. Let x = -21 + 48. Calculate the remainder when x is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -31 and 3713460.\nAnswer: 3713429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uzwkluaw. What is prob of picking 1 w and 1 u?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*v + 43*v - 720 = -0*v. Solve -13*y + v*y + 3*b + 11 = 0, -5*y - 9 = b for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -9*k + 417. What are the prime factors of k?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9751?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 12:53 AM?\nAnswer: 4:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 826360766.\nAnswer: 2, 7, 11, 193, 27803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3634407 (base 9) in base 13?\nAnswer: -5404c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -50*q**3. Let l be d(-1). Suppose p - 6*p = -l. What is the remainder when 37 is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2. Suppose -6*m + 25 = -m. Let w(z) = z**2 + m*z - z - 4*z. Determine w(p(j)).\nAnswer: j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (30\/20)\/((-1)\/(-14)). Let z = -21 + i. Solve -6 = -z*s + 3*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 498280 = -2*h + 498281, 4*m = h - 6*h + 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132452 is divided by 1189?\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246938?\nAnswer: 2, 37, 47, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven fifths of a litre in millilitres?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*i - 24 - 64. Calculate the lowest common multiple of i and 242.\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*2*((-348)\/72)\/(-29)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00046077 to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 416 and ((-104)\/(-24)*8)\/(6\/(-9) - -1).\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of u**2 - 1. Let p(r) be the third derivative of 0*r**3 + 2*r**2 + 0*r + 0 - 1\/12*r**4. What is g(p(z))?\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -4*i + 5. Suppose 35 = -5*o + 27*j - 28*j, 0 = j + 5. Let k(b) = b - 1. What is o*k(f) - t(f)?\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1776226 + 23059289\/13. Let y = g - -2433. What is the common denominator of -75\/2 and y?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -291*b - 3 + 292*b + 3.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(3))*-6)**2 + -1.\nAnswer: -144*sqrt(3) + 251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 5*n**2 - n - 7. Let b be i(-5). Let x = 1 - b. Solve -z + 5*r - 7 - 8 = 0, -r = 4*z - x for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22101121100220 (base 3) to base 11.\nAnswer: 2577099","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 73 + -68. Which is the third biggest value? (a) -8 (b) x (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-144)\/80)\/(3\/(-30)*-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 127 + 113 = 0. Let h be (-12)\/32*-2*48\/9. Let l be (40\/12)\/(h\/18). What is the greatest common divisor of l and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1542952998 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 - 10*z - 17. Calculate the lowest common multiple of 36 and v(-7).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -130.004 - -130. What is the nearest to -1 in -2\/9, 5, d?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2 + 85605*m + 34722000.\nAnswer: -3*(m - 28935)*(m + 400)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2636033 + 0.6.\nAnswer: -2636032.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2100 + -1586. What is the remainder when f is divided by 255?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 46 + -43. Let g be (-6)\/(-6)*36\/z. Calculate the greatest common factor of g and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 1 + 18*b**2 - 2 - 28*b**2.\nAnswer: -10*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22 by 1177.\nAnswer: -2\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -418*y + 13391. Determine u(32).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ntnnmthnthhnuctuhnm. What is prob of picking 1 c, 1 u, and 1 t?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x - 2. Let i be t(-4). Let c be ((-8)\/(-6))\/(28\/21 + -1). Let n = c + -2. Solve -i*a = 6 - n for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 7 = 10. Let h be -3 - s\/6*14. Solve h*k + 4 + 15 = b, -k - b = 6 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -105 or 2657\/4?\nAnswer: -105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 330723*v**3 - 165361*v**3 - 165356*v**3.\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + 2*a**2 + a + 1. Let y(t) = -3*t**3 + 12*t**2 - 7*t - 1. Let b(d) = -2*u(d) + y(d). Determine b(7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -4*q**2. Let i(x) = x**3 - 14*x**2 + 13*x + 2. Let a be i(13). Let c(n) = 3*n**a + n**2 + 2*n**2 - 2*n**2. Calculate b(c(m)).\nAnswer: -64*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2123*34.\nAnswer: 72182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -14*-3*(-4)\/(-12). Let y = -5 - -12. Suppose 0 = 3*v - f - y, -4*f - o + 37 = 5*v. What is the remainder when v is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5670?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 8, m: 2}. What is prob of picking 1 m and 2 y?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -4*a + 210. Suppose -10 = 5*m - a. Let v = 22 - m. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 43479 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 23 = -l, -31*l = -5*c - 35*l + 37. Let v be (-2 + 2)\/(4\/(-5 - -1)). Determine s so that 53\/4*s**4 + 21\/4*s**3 - 1\/4*s - 5\/4*s**2 + v + 7*s**c = 0.\nAnswer: -1, -1\/7, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 - -24. Calculate the common denominator of (21\/154)\/(z\/(-15)) and -83\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/31502460 and 127\/266970.\nAnswer: 31502460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 - o - 1. Let r(v) = 3*v - 4*v**2 + v**2 + 4 + 10*v**2 - 2*v**2. Let a(q) = 6*g(q) + r(q). Determine y so that a(y) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1448*w**4 - 1022?\nAnswer: -5792*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4b - -f?\nAnswer: 5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppz when three letters picked without replacement from pjjzppffjpzj.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5458331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 14.34 times 0.076\nAnswer: 1.08984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 4*y + 3*y)*(y + 0 + 0) - y**2 + 0*y**2 + 0*y**2 + (-9 + 7 - 10)*(-y**2 + 0 + 0).\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/30 and 91\/705.\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-80)\/8)\/(1\/((-3)\/(-6))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + i)*(-2 + 3 - 2) + 2 - 2 - 2*i + i - i - i + (-4*i + 0*i + 3*i)*(0 - 3 + 2) to the form q + u*i and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-64)\/408)\/(17*(-28)\/1428).\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -43 + 131\/3. Put -5, -1\/4, x in descending order.\nAnswer: x, -1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 + 26.56. Let b = -152.04 - -161. Let v = b - q. Round v to 0 dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, n: 16}. What is prob of sequence npnp?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 212504 divided by 8.\nAnswer: 26563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 5) in base 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 295842 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s**5 - 376104*s**4 - 6990216*s**3 + 3232374*s**2 + 6990231*s - 2856270 = 0. Calculate s.\nAnswer: -25055, -19, -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 4*r - 6 = -21, -4*o = -5*r - 24 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 929.\nAnswer: 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5818297?\nAnswer: 31, 187687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-60)\/(-10))\/((-4)\/(-2)). Suppose -3*f = -5*o - 42, c*o + 5*f + 32 = -0*o. Sort o, 0, -4.\nAnswer: o, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70141250 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 13*z**2 + 24*z + 26. What is the lowest common multiple of n(-11) and 13?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - 0) + (-23 - -24) + -3?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1187 is divided by 99?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*d**3*s**4 - 9*d**3*s + 1250*d**2 + 43*s**5 - 13*s**4 - 2*s**2 wrt s.\nAnswer: 264*d**3*s + 2580*s**2 - 312*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -50 - 2?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 c when two letters picked without replacement from cllcccccccc?\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/30 and 19\/844840.\nAnswer: 2534520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -9*c - 76. Let f be u(-9). Solve 94 = f*h + 94 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/213 + 4043\/426. Suppose -2*z - 22 = d - 5*z, 3*z = 4*d + 88. Find the common denominator of y and (-25)\/28 + 22\/d.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 53*y + 673. Let l be k(21). Which is smaller: 2\/1355 or l?\nAnswer: 2\/1355","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d**2. Suppose r + 3*c = 12, -2*r + 30 = -c - 1. Let i(y) = -31 + 46 + 2*y - r. What is i(s(w))?\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 933 is divided by 320.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -4*b**3\/9 + 1028636*b**2\/9 + 2057284*b\/9 + 1028644\/9 = 0.\nAnswer: -1, 257161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-55099)\/(-99) + (-1)\/(-9))\/((-6)\/(-9)) and 35?\nAnswer: 5845","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113406709 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1, 35, 83, 151, 245, 371, 535, 743?\n\"Answer: s**3 + s**2 + 24*s - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 4. Suppose -m = 3*c + 2. Which is greater: -1 or c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3486181170 to the power of 1\/4, to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 37401 and 1599?\nAnswer: 1533441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 48500 divided by -970\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -i**5\/60 - i**4\/4 - 5*i**3\/6 + 4*i**2. Let j be t(-2). Solve 2*l = -2*c + c + 1, 0 = j*c - 2*l - 19 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 243 and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135310\/30 + 7 - 5\/(-3)?\nAnswer: 4519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - f**3 - 9362*f + 4675*f + 3*f**3 + 4687*f.\nAnswer: 2*f**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/5)\/((-4)\/(-10)). Suppose -23 = -i*r + 247. Is ((-4)\/(-10))\/(3\/r) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3. Let s(i) = -i - 1. Let t(r) = -7*r - 14. Let b(h) = 6*s(h) - t(h). Let w(f) = -2*b(f) + 7*l(f). Calculate w(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -30 + 29 + (3 - -3 - 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23468808 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 9312?\nAnswer: -9311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) + (1*sqrt(70)*1 - sqrt(70)))\/(5*sqrt(40)\/sqrt(4)).\nAnswer: sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40 + 117. Suppose -3*r = -i + 17. Let a be 8\/r + 196\/10. What is the highest common factor of a and 220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14377 is divided by 7187?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-466)\/7 + 27\/(-63). Let w = 65 + l. Put -3, 4, w, -7 in descending order.\nAnswer: 4, w, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 26*c**2 - 6 + 9 - 3.\nAnswer: -26*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 2*188\/(-32)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -61 - -64. Suppose -w*y - 3*y = 0. Suppose 5*k = -y*z + 5*z + 40, -2*z = -4. What is the remainder when 46 is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2448527 to the power of 1\/2, to the nearest integer?\nAnswer: 1565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.00743 and -130.\nAnswer: 0.9659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19.548*-9.\nAnswer: -175.932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*g**5 - 11440*g**4 - 439860*g**3 - 3020720*g**2 - 7168640*g - 5591040 = 0. Calculate g.\nAnswer: -416, -168\/5, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15\/8? (a) 48 (b) 3 (c) 2973 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 35*h - 17*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 6\/355175?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 13*m + 65. Give k(2).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 118 (base 12) in base 11?\nAnswer: 13a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 10:31 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -76, -2*y + 2*o - 4*o + 38 = 26*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 533854894*r**3 - 599179440*r**2 wrt r?\nAnswer: 3203129364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (13499 - 13492) + (-65 + -1 - (-1 - -1))?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*o + 222 = 4*o - 174. Let q(h) = h**3 + 6. Calculate the least common multiple of o and q(0).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 2*c - 102. Let u be (2\/(-4))\/(((-102)\/180)\/c). Let k = 6 - u. Which is greater: -10 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/6)\/(5\/15). Factor r*v**2 - 3*v**4 - v**5 - 9*v + 3*v + 6*v.\nAnswer: -v**2*(v - 1)*(v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**4)\/(h**(-16)\/h) assuming h is positive.\nAnswer: h**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-24)\/42 + (-144)\/301 + (-168)\/(-3612)?\nAnswer: 6\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2 + sqrt(475) - (sqrt(475) + (2 + sqrt(475) - sqrt(475))*-6))*6.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/4 - 317*t**2\/4 + 803*t\/2 - 322.\nAnswer: -(t - 4)*(t - 1)*(t + 322)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fh when two letters picked without replacement from grwwwqhrrghgfghwq?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -535 - -810. Is s a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 34210?\nAnswer: 34208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of -w**9\/756 + w**8\/192 + w**7\/36 + w**6\/48 + 7*w**4\/6 + 7*w. Let r(k) be the third derivative of y(k). Factor r(j).\nAnswer: -5*j*(j - 3)*(j + 1)*(4*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 4 - 3)*(5 + c - 5) + 2*c - c - 2*c + 2*c - 1 + 1 + (2*c - 3*c + 0*c)*(-1 + 1 - 1) to the form d + j*c and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 538, 1081, 1638, 2215, 2818, 3453, 4126?\nAnswer: 4843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8175446.\nAnswer: 2, 37, 110479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 3*o - 1 = -16, 0 = 2*b + 3*o + 15. Solve -1\/6*z**2 + b + 1\/6*z = 0 for z.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10a541 (base 13) in base 5?\nAnswer: -100103121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1358 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/((z*z\/(z\/z**(4\/7))*z)\/z))\/(z**(-3)\/z))\/(z**0*z*z**(-5)))**(14\/3) assuming z is positive.\nAnswer: z**(104\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 5*l + 60, -4*x + 76 = -x - 4*l. Suppose w = 4*v + x, 2*w + 3*v = -0*w - 4. Solve -w*m = -6*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1157, 3244, 9193, 21026, 40765, 70432, 112049?\n\"Answer: 337*r**3 - 91*r**2 + r + 910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 n when two letters picked without replacement from {s: 2, n: 8, v: 1, l: 6, i: 1}?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) 0 (c) 0.2 (d) 0.1 (e) -11\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9 and 0.02518.\nAnswer: 0.22662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 651 = -199*f + 292*f for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 7:13 PM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, 2, 4\/13, 7?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 206*j**3 + 3*j**2 - 29*j + 55. Is m(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/k**5*k\/k**(-2\/43)*k**12*k**(-1\/9) assuming k is positive.\nAnswer: k**(3458\/387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 21, 5, 2\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.29*-11055\nAnswer: -3205.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*d - 3*d - 1 - d**3)*(0 + 0 - 2*d)*(-12 + 2 - 21) to r*d**4 + h*d**3 + a + n*d**2 + o*d and give r.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 2*d**2 + 4. Let l be (-3 + 1)*(-6)\/(-4). Let n be w(l). Solve 4*u + 18 = u + 2*k, -u - n = -3*k for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 2 + 3)*(-p**2 + p**2 - 2*p**2) + (-25 + 25 + 3*p)*(-p - p - p) - p**2 + 6*p**2 - 2*p**2)*(p + 2*p - 5*p).\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2768, -5544, -8320, -11096?\n\"Answer: -2776*o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - t = -2, -5*t = 4*n + 1 - 11. Put n, -6, 5 in descending order.\nAnswer: 5, n, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 12 + 44)*(-229 - 21*r**5 + 229).\nAnswer: -441*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -19*k**2 + 16*k + 47. Let o(l) = 7*l**2 - 5*l - 16. Let v be (4\/4)\/((-1)\/(-8)). Let u(m) = v*o(m) + 3*y(m). What is u(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**0))**(5\/16)*(a**(-5)*a)**(8\/7) assuming a is positive.\nAnswer: a**(-32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 less than -133334?\nAnswer: -133337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -20, -42, -72, -110, -156?\nAnswer: -210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 208228483 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 - 24) + 6 + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297932 is divided by 72.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 630 and -2 - -53 - (-153)\/17.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 4*v**2 - 3*v + 3. Let k(c) = c**2 - c + 1. Suppose -17*l - 1 = 33. Let g(p) = l*q(p) + 6*k(p). Let n(w) = 3*w**2. What is -6*g(z) - 5*n(z)?\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 e when three letters picked without replacement from {e: 2, o: 11}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 602994\/347 or 1737?\nAnswer: 1737","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 43*o + 29. Calculate r(2).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -102, 1, -107134 in decreasing order.\nAnswer: 2, 1, -102, -107134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 184305 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 203 divide 140882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 664 = -2*q + 1570, 2*a - 1117 = -q. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 4566.\nAnswer: 13698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 105597 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -22*t + 6*t. What is the third derivative of -4*y - 12*y**2 - 35*y**t + 137*y**3 - 137*y**3 wrt y?\nAnswer: -4200*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**2 - 103*d + 1245. Let x be a(32). Let j(s) = -s - 2. Let i = 14 + -20. Let z(c) = c + 1. What is i*z(n) + x*j(n)?\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12022022 + 1?\nAnswer: 12022100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(1\/2)\/h)*h*h)\/(h**(-5)*h)*h\/(h*(h**(-1\/3)*h)\/h)*(h\/h**(-1)*h)\/h*((h*h**0*h)**(2\/3))**(-1\/66) assuming h is positive.\nAnswer: h**(1943\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/32 bigger than 538?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -1\/4, 1\/2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + -4c754?\nAnswer: -4c757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 3:52 AM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 61268 divided by -17?\nAnswer: -3604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4325763 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: Calculate the remainder when 128231 is divided by 3803.\nAnswer: 2732","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 213 + 213 - 639 + 7*j + 215. Let x(u) = -u. Determine -v(d) - 4*x(d).\nAnswer: -3*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119182095?\nAnswer: 3, 5, 199, 13309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30331, -30309, -30283, -30253?\nAnswer: -30219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-6) + 14\/4. Let d = -21.9 - -87.4. Let n = d - 65. Which is the second smallest value? (a) -0.2 (b) n (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12\/(-9) - -1)*-84. Let o = 44 - f. Suppose 5*t - 4 = o. Which is the closest to 2\/9? (a) t (b) 2\/13 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2, -23, -68, -143, -254, -407, -608?\n\"Answer: -x**3 - 6*x**2 + 4*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -73653?\nAnswer: -73653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -246039, 19, -15 in increasing order.\nAnswer: -246039, -15, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4320) + sqrt(4320)*2 + sqrt(30) + 5*sqrt(120) + sqrt(30))\/(-1*sqrt(250) + 1*sqrt(1210)) + 2)**2.\nAnswer: 32*sqrt(3) + 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.7 + -4.3. Let h be ((-25)\/10)\/((-2)\/4). Let z = -1.25 + 1.4. What is the third biggest value in l, z, h?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 120 and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90 is divided by 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72080861.\nAnswer: 72080861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w. Let s(o) be the first derivative of 0*o**2 + 1\/12*o**4 + 1 + 0*o**3 + o. Let d(r) be the first derivative of s(r). Calculate u(d(a)).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 5) + -7 + 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyvolooyyoey. Give prob of picking 1 e, 1 y, and 1 v.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2 - -2) + -2)\/2. Let s be (8 - 5) + j + 0. Suppose -6 + 0 = -s*v. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -148 - -141. Let b(s) = s**3 + 8*s**2 + 2*s - 3. What is b(z)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3*z**2 + z. Let c be 3 + (0 - (-2 + 2)). Let p be y(c). Suppose f - p = -4*f. Solve 4*b = 16, 4*r - 4*b + 20 = f*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 263*m - 436*m + 280*m = 6099 for m.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + 629\/3 + 6\/18. What is the third derivative of 91*v - 6*v**4 - m*v**4 - 9*v**2 + 10*v**2 wrt v?\nAnswer: -5232*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.04, -1572, -47\/2 in ascending order.\nAnswer: -1572, -47\/2, 0, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6+0.534\nAnswer: 6.534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -2 - (-11 - (6 + (6 - 20))).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2*t - 1062 = 0, -7*g - 5*t = -10*g + 829. Let x = g - 70. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19741 - -19829. Calculate the remainder when 1246 is divided by r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(171)\/((-1*sqrt(1296) - sqrt(1296)) + sqrt(1296)).\nAnswer: sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*(-1)\/2*4. Let v = 12 + q. Calculate the least common multiple of v and 14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 10:12 AM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/97 - 286\/485. Which is the fourth smallest value? (a) -1\/8 (b) 2\/9 (c) l (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -4*z + 8. Let p(f) = 16. Let x(g) = -11. Let l(h) = -2*p(h) - 3*x(h). Give 6*l(m) - s(m).\nAnswer: 4*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 65 + 1. Let f = d + -8. Let p be (-4)\/(-5)*20\/f - 2. Solve 0*n - 2*n + 4 = p for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/17, 2, -1 in descending order.\nAnswer: 2, -4\/17, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-15)*(-25)\/(-80).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 5*h + 15 - 49, -3*h + 5*u = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3*x**3 + 5*x. Let q(f) = 15*f**3 - f**2 + 26*f - 1. Let y(l) = -11*j(l) + 2*q(l). Let s be y(-2). Suppose 0 = -6*v + 58 + s. Does 9 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.001 - 0.0019. What is i rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 5:02 PM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -322 (base 4) to base 15.\nAnswer: -3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -540475 = 445*s - 577855 for s.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 10442862?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232154 is divided by 280?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -73611 divided by -24537\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 p when two letters picked without replacement from {e: 1, w: 3, f: 3, q: 6, p: 1, t: 6}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 286 and 11396?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13642?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/25 and -67\/490?\nAnswer: 2450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b - 2*b + 0*b)*(3 + 4 - 3 + (-1 + 0 + 0)*(4 - 3 + 0) + 3 + 1 - 2 + (-1 + 1 - 1)*(4 - 4 + 2) - 2 + 2 + 1).\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/(-18) - (-40)\/9. What is o in 372*o**4 + 15*o**4 + 304*o - 508*o**3 + 80*o**5 + 48 + 716*o**2 + 1300*o**3 + 25*o**w = 0?\nAnswer: -2, -1, -3\/4, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -6*((sqrt(50) - sqrt(800)) + (sqrt(2) - sqrt(22)\/(-1*sqrt(11) - sqrt(11)))))**2.\nAnswer: 810*sqrt(2) + 13147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.52, 2\/9, 2, 0, -13 in ascending order.\nAnswer: -13, 0, 2\/9, 0.52, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = -3*k + 13. Let j = -9 - k. Let a(p) = p**3 - 4*p**2 - 6*p. Calculate a(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k = 7*k - 176242. Is 13 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 551677424 to the nearest integer?\nAnswer: 23488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1325?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 691 divide 2742090?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2299) - (2*sqrt(2299) - sqrt(2299)))*-6)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39 - 34. Is 4 a factor of (-3)\/6*(-51 + t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0398 and 0.061986.\nAnswer: 0.0024670428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - m**2 - 5*m + 102. Give b(0).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 5*m + 100 = 0, 381161*m + 105 = -j + 381156*m for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 19 - 9. Suppose 21 = -f*r + 141. Is 4 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a day in minutes?\nAnswer: 3360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (36\/(-10))\/(3\/(-15)). Let a be (-1)\/2 + h\/(-4). Let m be a\/(-25) - 8\/15. What is the closest to m in -5, -2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6381239826 to the nearest integer?\nAnswer: 79883","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 (base 15) in base 5?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r - 2*r + 2*r)*(-3 + 1 + 1)*(-2*r - r - r).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + (-1 - (-3)\/3 - 90). Let v be s\/(-504)*16\/(-18). Which is smaller: v or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 3)*(-8 - 10 + 6)*(-2*w + 6*w - w).\nAnswer: -36*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/((-6)\/(-6)*7)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 476*j**2 - 4254*j - 51. Give k(9).\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73179 is divided by 659.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 144 and 41274?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ygyygyyyyygyyygg. What is prob of sequence yy?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 424 is divided by 233?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-6)\/(-60)*-2*-10?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/40*10\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - 2*y**2 - 3*y + 3. Let d be j(-5). Suppose -d = -5*u + 17. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of v**9\/336 - v**5\/30 - 5*v**3\/6 - 18*v**2. Let s(g) be the first derivative of w(g). Find the second derivative of s(r) wrt r.\nAnswer: 180*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10463 divided by -293?\nAnswer: -10463\/293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 4*k - 36. Suppose 0*f + 3 = f, 0 = 2*z - 5*f + k. Let x be z*(-1*2 - -3). Which is the smallest value? (a) x (b) 4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*g + 15*g - 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2*249)\/(4 - (10 + -8)) is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21884 - 927*w - 21884.\nAnswer: -927*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20 is divided by 423\/63 + 4\/14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28 by -976349.\nAnswer: 28\/976349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1618 + -8157\/5. Let y be (-1527)\/(-15)*(-1)\/(-7). Let a = i + y. What is the common denominator of -125\/24 and a?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18558 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -4*y + 8*y - 2477, -4*y - x = -2497. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14145?\nAnswer: 3, 5, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1211, 1141, 1071, 1001, 931?\n\"Answer: -70*w + 1281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 2*b + 12, -6*o - 8 + 40 = -2*b for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5803)\/(-5803))\/((-2)\/196)?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 2 + (2 - 1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 11*b + 13. Suppose -7 + 35 = 3*d - b*i, d - 11 = -i. Let n(j) = j**3 - 10*j**2 + 3. Determine n(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*5*sqrt(19)*-1 + 6*(sqrt(2299) + 2)**2.\nAnswer: 289*sqrt(19) + 13818","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-100)\/(-15)*(-342)\/((-513)\/27)*(-3)\/15.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x**2 - 4*x**2 + 6*x**2)*((1 - 4 + 1)*(-17 + 39 + 21) - 2 + 2 + 3 - 2 - 20 - 41) in the form q*x**2 + a + t*x and give q.\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -14*z + 46. What is v(-17)?\nAnswer: 284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 5*p**2 - 10*p**2 - 7*p**2 + 0 + p - 1. Let l = 11 + -10. What is x(l)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.211, 15\/4, 2\/5, -4.1?\nAnswer: -0.211","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, p: 8, m: 7, c: 1}. Give prob of picking 1 z and 2 m.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 6*a**2 + 3*a - 4. Let v be l(1). Suppose 1575 = 5*o - v*k, 2*o = 3*o + 5*k - 315. Suppose s + o = 2*y + 4*s, -y - s = -159. Does 15 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 0, -51, 0.3, -7, -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 0*x**2 - 3*x - 5*x**3 - 1 + 0 - 4*x**2 + 4*x**3. Let m = 24 - 28. Let b = m - 0. Calculate p(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104520 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1350 and 20601?\nAnswer: 1030050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 56\/12 + (-2)\/(-6). Suppose 3*d = x*d - 6. Solve d + 1 = -p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40 - -39 - (1 + 4) - -20) + -3?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 PM and 3:31 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -164*t. Let n(v) = -6*v**2. Determine q(n(p)).\nAnswer: 984*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2. Let v(h) be the second derivative of -h**3\/2 - h. Determine z(v(x)).\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 + 6. Let h(i) = -i**3 - 7*i**2 + 6*i. Let g be h(c). Let u = -9 + g. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2*-2)\/(-4)*-5. Let c(g) = g**3 + 6*g**2 - g + 1. Let d be c(y). What are the prime factors of 1\/((-1)\/d*-1)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1206380 - -2?\nAnswer: -1206377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2014 - 2019. What is the closest to 1 in -0.4, 126, 5, z?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 - 2*d**2 - d**2)*(231*d + 77*d - 21*d)*(53 - 29 - 48).\nAnswer: 13776*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 197408.07 milliseconds in days?\nAnswer: 0.002284815625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 6*g**2 - 2*g - 8. Determine l(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-1\/7)*j**(1\/6)*(j*j*j*j**(-2\/23)*j)\/(j*j**2))**(1\/3) assuming j is positive.\nAnswer: j**(2147\/2898)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6576)\/(-112) + (-4)\/(-14). Is (11 - 0)*v\/(-1)*-1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**3 + 11*i**2 + 4*i + 10. Let g(z) = 5*z**3 - 23*z**2 - 7*z - 20. Let f(q) = 3*g(q) + 7*n(q). Let v be f(-7). Solve v = r - 6*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 + 9. Let l be f(0). Let z(w) = -w**3 + 9*w**2 + w - 7. Let v be z(l). Which is greater: -2 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5*(2 - (-16)\/(-10)). Let i(s) = s**2 + 12*s. Let a be i(-8). Let g = a - -30. Is g less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*z - 102*z = -1. Let k = 2 + 0. What is the nearest to z in -6, k, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3550794 (base 13) to base 3\nAnswer: -1011000022200110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102201211010 (base 3) to base 8.\nAnswer: 703061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 666.\nAnswer: 6660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 6, -2, 1 in descending order.\nAnswer: 6, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 244 divide 1213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of 0 - 3*c**2 + 0*c - 1\/6*c**4 + 1\/60*c**5 + 1\/2*c**3. Solve q(i) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38378005 divided by -5.\nAnswer: -7675601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 30 = 105. Let j = -22 - b. Let q(t) = 2*t**3 + 12*t**2 + 5*t + 5. What is the least common multiple of j and q(-5)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-108)\/(-14) + 54\/1701*9. Solve 0*p + 4*p - 14 = 3*x, 0 = -p + 3*x + v for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -4*f**2 + 117*f - 603. Let b be p(23). Let v be -30 - 4\/8*0. Is b less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 2\/151, -2\/7, -5?\nAnswer: 2\/151","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12229?\nAnswer: 7, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.6 + -0.9. Let f = -4.9 + 5. What is the closest to 1 in f, 0.3, v?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*r**2*x**2 + 54*r**2*y + 47*r*x**2*y - r*x + 4*x**2*y**3 - 359*y**3 wrt x?\nAnswer: 4*r**2 + 94*r*y + 8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-52))\/((-363)\/(-1815)*(-30)\/24)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 867382.\nAnswer: 2, 67, 6473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7852508 is divided by 1657.\nAnswer: 1642","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 - 368*m - 20919. Give o(-70).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m = -50*m - 39865 + 449125. What are the prime factors of m?\nAnswer: 2, 3, 5, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10823 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + -1. Let v be 94\/6 - 1\/w. Calculate the remainder when 43 is divided by (-1)\/(-1 + 2) + v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 5*y - i, 0*i = -4*i - 20 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1669, -1666, -1663, -1660?\nAnswer: -1657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - -24) + 18 + -17. Suppose 4*t = -3*q + 578, y*q - 562 = -4*t + 30*q. What are the prime factors of t?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 5 (b) -2 (c) -3\/20 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -75 - -73. What is the units digit of 294\/24*(-24)\/p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3014969 is divided by 753739.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.07 in 0.11, -5, 4, 3, -0.5?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a microsecond in nanoseconds?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10\/13? (a) -2 (b) 0 (c) 62 (d) -0.11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/18*(1161\/396)\/(-43).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -12133*q + 15 - 15 + 8879*q in the form y*q + c and give y.\nAnswer: -3254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 + 1. Suppose 0 = -2*w + l. What is the remainder when 34 is divided by w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + 5*sqrt(153)*-1)*-1*-1)\/(sqrt(900)*2*-5*5).\nAnswer: sqrt(17)\/125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4691, 9173, 13443, 17501, 21347, 24981, 28403?\n\"Answer: -106*f**2 + 4800*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 e when two letters picked without replacement from fpefooaffeaw.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**4 + 7*b**3 - 18*b**2 - 6*b + 22. Let l(q) = 5*q**4 - 34*q**3 + 90*q**2 + 31*q - 109. Let t(g) = 11*i(g) + 2*l(g). Find d, given that t(d) = 0.\nAnswer: -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 375 + -191. Let r = 347 - m. Suppose -3*g - 256 = -4*v, 3*v + 3*g - r = 50. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1451 + -6?\nAnswer: -1457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 114\/(-30))*(240\/112 + -5)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 95 + -84. Suppose -354 = -4*y - c + 3*c, -3*y = c - 258. What is the remainder when y is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 4. Suppose p*c + 9 = 39. Is (c\/(-12))\/((-2)\/136) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 36 + -29. Let c(w) = 3*w**2 + 3*w + 17. Is c(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 1:01 PM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5933 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-3) + (-14)\/6. Let r = 13 + -12.98. Let v = 3.02 - r. What is the second smallest value in v, z, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 4 = -q + 3*p, 0 = -2*q + 2*p - 14. Let c be q\/2 + 1\/(-2). Let g(v) be the first derivative of v**3\/3 + 4*v**2 + 7*v - 15. Give g(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 4*d + 10, 2*d = q - 8. Suppose 4*t = 2*y - 59 + 65, -5*y - 20 = -5*t. Let a(x) = 3*x**2 + 12*x - 10. Let k be a(y). Solve 1 - k = -q*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10590.85 to the nearest 10.\nAnswer: -10590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -30*3\/(-18) + -1. Suppose 0 = h + 4*k - 4, -4*h + 4*k = -0*k + 4. Solve -r + x - 3 = h for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 10\/3, -5, 107, 90?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -111 - 202 - 439*n**3 + 106*n**3 wrt n?\nAnswer: -999*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 10 = -w, 0*w + w - q + 2 = 0. Let m(r) = -10*r - 56. Let u be m(w). Does 7 divide ((-21)\/12)\/1*(-22 - u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 21, -1 in ascending order.\nAnswer: -13, -1, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 9 = -n, -4 = -3*n - 3*p + 17. Suppose 5*t + 4 = z, -3*t + 2 = -0*t - n*z. List the prime factors of (t\/(-1))\/(2\/20).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2605942279 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*a**3 - 1205656*a**2 - 580420*a + 625128 = 0 for a.\nAnswer: -11163, -1, 14\/27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + 4*f**2 + 2*f + 6. Let y be c(-4). Let o(w) = -w**3 - 2*w**2 + 1. What is the units digit of o(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 10:39 PM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -26742*i**4*o**2 - i*o**2 + 425*o**2 + 6*o - 1 wrt i.\nAnswer: -106968*i**3*o**2 - o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - 15*g. Let x be w(15). Let t be x + 3\/63*6. What is u in -t*u**2 + 0*u + 0 + 6\/7*u**3 - 6\/7*u**4 + 2\/7*u**5 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = -6*s - 8*u, -s - 163 = s + 4*u - 175 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -89*f**2 + 2*f + 5. Let w be x(2). What is w rounded to the nearest 10?\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a*c**2*h + 2*a*c + a - 26*c*h - 140*h wrt c.\nAnswer: -4*a*c*h + 2*a - 26*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of 0 + 44*t**2 + 1\/180*t**5 + 289\/18*t**3 + 0*t - 17\/36*t**4. Factor y(h).\nAnswer: (h - 17)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -11012?\nAnswer: 11023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 508*y = -731 - 1809 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4*n - 5 = 5*c, 0 = -c + 2. Let q be (-18 + 0)*n\/(-6). Let w = -27 + q. What is the least common multiple of 18 and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1350304?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 538?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = f + x - 11, -3*f = 3*x + 21. Let h = 0.175 + -0.375. What is the third smallest value in 1, h, f, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - 11*d - 79. Calculate b(15).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 183651797?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 0*r + 57 = 3*v, -2*v - 64 = -3*r. Let x(a) = -a**2 - 13*a - 34. Let u = 230 + -238. Let w be x(u). What is the highest common divisor of w and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -201*a + 33*a + 4655 = 38*a - 3997 for a.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = 1 - 43. Solve 2 - q = 2*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 58 and 5?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 + 4*w - 4. Let b be h(4). Let v be 1 + b + (-24)\/(-8). Find the third derivative of -10*j**2 - 2*j**6 + v*j**6 - 2*j**6 + 13*j**2 wrt j.\nAnswer: -480*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -129587, -129583, -129577, -129569, -129559, -129547, -129533?\n\"Answer: k**2 + k - 129589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -31311 < -31310?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1533 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -6*d - 8*d. Suppose -x - 4 = 0, -33 = -d*q - 3*x - 13. Calculate the lowest common multiple of q and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2213.\nAnswer: 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*v + 5*v**3 + 52*v + 7*v**3.\nAnswer: 12*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express y + y + 0*y + (49 + 5 - 2)*(-5*y + 2*y + 4*y - 19) as n + v*y and give n.\nAnswer: -988","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 - -1.7. What is the biggest value in 3\/2, z, -3\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1835 + -1834.7. Let y = -1.3 - -2. Let d = y + -0.2. Put j, d, 2 in descending order.\nAnswer: 2, d, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - 5*q**2 - 5*q + 1. Let f be z(-4). Suppose 5*b - 3*n = f, -2*n + 4*n = 10. Solve -6 - b = 3*o + p, 0 = 5*o + 4*p + 12 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64987601917 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m**3 - 36*m**2 - 2*m**3 + 63*m**2 + 6*m**3 - 30*m**2 + 10*m**3.\nAnswer: 11*m**3 - 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 4*a**3 + 1 - 5*a**3 + a**2 - a**2 + 4*a**2. Let c be n(4). Let j(l) = -3*l**2 - l. Give j(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -185*z**2 + 128*z**2 - 262*z**2 as d*z + a + w*z**2 and give w.\nAnswer: -319","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/5))**49\/(l*(l*l**0*l*l)\/l*l\/(l*(l\/((l*l*l\/l**7)\/l))\/l)))**(-4\/23) assuming l is positive.\nAnswer: l**(-236\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -276 - -2209\/8. Put r, 1, -2 in ascending order.\nAnswer: -2, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -612 (base 8) in base 3?\nAnswer: -112121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -9*n**2 + 8*n - 19. Let r be k(5). Let q = -204 - r. Solve q*l = 4*l - 20 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 321*r - 2179*r + 213003 = 68079 for r.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*j - 11*j - 48 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 38800889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10176.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.0399 - 5.\nAnswer: 3.0399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 45 and 0.2214.\nAnswer: 9.963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -274 - 1304*g**2 + 1306*g**2 - 424 + 202.\nAnswer: 2*g**2 - 496","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a*a\/(a*a**(-13)))\/a*a)\/a**7*(a**(-2\/15))**44 assuming a is positive.\nAnswer: a**(32\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a. Let p(l) = 1683*l**2 - 14. Give d(p(y)).\nAnswer: -1683*y**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2190*m - 12. Let c be j(-1). Suppose 79*w + c = 88*w. What are the prime factors of w?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4\/(-7))\/(-250 + 156600\/630))\/(1\/280).\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -23 (b) -5\/2418 (c) 12 (d) 1\/6 (e) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3760 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5030 - 5035. Let l(k) = 8*k**2 + k + 6. Let h(y) = -7*y**2 - y - 6. Give o*h(c) - 4*l(c).\nAnswer: 3*c**2 + c + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(68)\/sqrt(4))**2 - sqrt(170)\/(sqrt(10)*1))*5 + 2.\nAnswer: -25*sqrt(17) + 107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 63 - 30. Let l = 136 - 132. Let g be -7*90\/504 - (-137)\/l. Are c and g non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-6 + (-121)\/(-44)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 319.\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -11, 3\/2, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + f**2 + 3*f - 2. Let r be v(2). Suppose -3*p + 33 + 75 = r. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2350 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c**3 - c**2 + 2*c + 2. Let n be 10\/(-35) + (-12)\/7. Let f be r(n). Let z = 75 - f. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3850420707.\nAnswer: 3, 7, 61117789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 167, 499, 1015, 1715, 2599, 3667, 4919?\n\"Answer: 92*z**2 + 56*z + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1100\/(-2400))\/((-2)\/(-8))?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167 + 490*m**2 + 379 - 146.\nAnswer: 490*m**2 + 66","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -6*s**5\/5 - s**3 - s**2 + 5. What is the third derivative of v(r) wrt r?\nAnswer: -144*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, -3, -5, 5, -10, 539674 in ascending order.\nAnswer: -10, -5, -3, -2, 3, 5, 539674","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(756)*1)\/(sqrt(28)*-2))**2.\nAnswer: -9*sqrt(3) + 63\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 10:07 PM?\nAnswer: 5:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2117*c**3 - 923*c**3 - 1187*c**3.\nAnswer: 7*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1346*g + 568*g + 926*g + 2300*g)*(-5 - 3 + 3).\nAnswer: -25700*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 times 99?\nAnswer: -4.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 51561 = -41*t - 14*t. What is the remainder when t is divided by 33?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**4 - 933*p**3 - 272371*p**2 - 25351095*p + 25624400 = 0 for p.\nAnswer: -464, -235, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 541, 1087, 1633, 2179?\nAnswer: 2725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 32, 4, 2 in increasing order.\nAnswer: -20, 2, 4, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + -27. Let j = m + 41. Suppose -6 = -j*z + 5*z. What is the remainder when 12 is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-18)*5*1\/((-95)\/76).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -679, -6253, -21429, -51007, -99787, -172569?\n\"Answer: -800*b**3 - b**2 + 29*b + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 plus -10.1?\nAnswer: -9.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - 2. Let b(d) = -84*d**2 - 23*d + 14. Let y(u) = b(u) + 5*p(u). Find the second derivative of y(a) wrt a.\nAnswer: -158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 490 is divided by 133.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 c, and 1 n when three letters picked without replacement from {e: 1, c: 1, g: 1, k: 1, n: 2, i: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 19932\/(-3322)*(-39)\/198?\nAnswer: 13\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -30 in -0.4, -3, -10\/7, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and 540?\nAnswer: 5940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 5*a + 1865, 7 = -3*n - 2. Let b = a + 793. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.0111 minus 0.0231?\nAnswer: 54.988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 3*w**3 + w**2 - w + 1. Suppose 5 = 3*l + 2. Let z be o(l). Suppose -2*d - 3*d = 20. Put -3, z, d in decreasing order.\nAnswer: z, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -371 - -240. Let u = -129 - f. What is the greatest common factor of u and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17\/(170\/8))\/(184\/115).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 - 23. Let k = 13 + w. Suppose k*i - i = 0. Is 0 != i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33.7215 + 0.0785. Let g = -33.8955 + h. Round g to 3 decimal places.\nAnswer: -0.096","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -7*t**2 + 7*t. Let u(g) = -8*g**2 + 8*g. Determine 7*l(k) - 6*u(k).\nAnswer: -k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0791704499 to six dps.\nAnswer: 0.07917","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-50)\/6)\/(2\/6). Let n = 21 - v. Is n a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -1174*q - 45795. Give v(-39).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 + 9*h - 19. Let n be w(6). Let x(i) = i**2 - i. Let q(z) = 4*z**3 + 2*z**2 - 2*z + 1. Let g(f) = n*q(f) + 2*x(f). Differentiate g(s) wrt s.\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**5\/15 + 2*w**3\/5 - 4*w**2\/15.\nAnswer: -2*w**2*(w - 1)**2*(w + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 16) to base 9\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 285478314*o + 12 - 285478333*o - 16 + 4.\nAnswer: -19*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131454 - 131706 = 21*g for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -9358.619 to the nearest 100.\nAnswer: -9400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27 and 12?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 855227 is divided by 427609.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1246*f*h*n*u**3 + f*h*n*u - 3*f*h*n - 12*f*h - 285*f*n**2*u**3 - 26*f*n**2*u + 2*f*u - 2*f + h*n**2*u**2 wrt u?\nAnswer: 7476*f*h*n - 1710*f*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1142 not equal to 1047?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*l**3 + 30*l**3 - 18*l**3.\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/3359 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 3. Let w = s + -2. Let y = w - -0.8. Is y at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 22, 57, 92, 127, 162?\n\"Answer: 35*t - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38*m - 106*m + 146*m + 1062 to u + z*m and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 + -24. Suppose v = -x*v + q + 19, 5*v - 5*q - 35 = 0. Solve 2*r = -2*b + 4*r + 12, -4*b = 2*r - v for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10849707?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + f + 4 = 2*t, -3*f = -t + 2. Let g = -233 - -349. Suppose -t*m = -2 + 6, 4*y = 2*m + g. Does 12 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 50 = -2*l, -4*y = 3*l - y + 84. Let b be l + 43 + (-2)\/(-2) + -5. Let o(n) = -n**2 + 16*n - 13. Is 13 a factor of o(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -205, -409, -613, -817?\n\"Answer: -204*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 7*t**2 + t - 1. Let o be z(6). Let l = o + 1. Find the third derivative of 42*i + 3*i**2 - l*i + 2*i**5 wrt i.\nAnswer: 120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + p - 11 = -4*g, -3*g + 16 = 2*p. Suppose -g*j + 115 + 55 = 0. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -1\/10*w**4 - 2\/5*w**3 - 1\/5*w - 1\/2*w**2 + 0 = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 544 divide 14857273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 7, 15, -1\/4, 1, -14?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 273208 + -2408846. Is 6\/(-14) - s\/133 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-9 - (-7 + -5)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = 3*p - 1, 0 = p - 8*n - 61019 + 61088 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -110831\/15 - -36947\/5. Let 22\/3*y + 0 + 20\/3*y**4 - 20\/3*y**2 + m*y**5 - 8*y**3 = 0. Calculate y.\nAnswer: -11, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-20)*(-5)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1393243897.\nAnswer: 29, 107, 448999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -51.46 - -51. Let r = w - -0.06. Let x = 1.23 - 1.33. What is the third smallest value in r, 1, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 551*z + 12146. Determine x(-22).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -10*t. Let h(r) = 11 - 11 + 3*r. Let v(f) = 17*h(f) + 6*p(f). Let i(k) = 178 - k + 2*k - 178. What is v(i(z))?\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 0)*(-2*k**4 + k**5 + 2*k**4).\nAnswer: -3*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -422, 3\/34, -3, -2, 0, 16 in increasing order.\nAnswer: -422, -3, -2, 0, 3\/34, 2\/7, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 264683 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -59307, -60647, -62871, -65973, -69947, -74787?\n\"Answer: g**3 - 448*g**2 - 3*g - 58857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 - 11. Let x = -23 + n. Let q = x - -29. Solve 0 = -5*g - j + q, 27 = -3*g + 7*g - 5*j for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/88 and 97\/40?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 52*l**2 + 3*l + 141. What are the prime factors of x(24)?\nAnswer: 3, 13, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 218292, 218272, 218226, 218142, 218008, 217812?\n\"Answer: -2*x**3 - x**2 - 3*x + 218298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(5\/1 - 140\/25). Solve 0 = -2*i - 4*l - 11 + 37, 0 = -3*i - d*l + 34 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 7:40 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/((r**5\/r)\/r))\/r)**(-48))**38 assuming r is positive.\nAnswer: r**5472","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 3*f**2 + 2*f. Let k(a) = -16*a**2 - 11*a + 1. Let g(i) = 2*k(i) + 11*x(i). Differentiate g(b) wrt b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -35*l - 4. Let p(m) = -35*m - 3. Let q(w) = 2*p(w) - 3*v(w). Let u(f) = -71*f - 11. Determine 11*q(k) + 6*u(k).\nAnswer: -41*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3*h - 25. Give i(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y - 43 - 59 + 27 = 0. Solve -2*j = 3*j - 5, -11 = y*u + 4*j for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(((-20)\/4)\/(-5)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 18 - (983 + -1004)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -17598.\nAnswer: -1\/17598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 4, 1, -0.2, 1010?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 15*t**2 + t - 8. Calculate s(-15).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 4*a = -8964, 8*c - 5*c - 6717 = 3*a. Is c a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/8 (b) -1\/3 (c) 3.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 418146510?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 6*z**2 - 280*z + 173. Determine g(47).\nAnswer: 267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 + -0.3. Let b = 7.01 + -7. Let g = b + 0.09. What is the closest to l in 1, g, -0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2837 is divided by 1418?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2763*v**2 + 4622*v + 103955866.\nAnswer: -5526*v + 4622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 2.044779.\nAnswer: -6.134337","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 5*a**2 + 5. Let r be -10*(-3)\/(-2)*(-24)\/(-72). Let i(w) be the second derivative of w**2\/2 + w - 14. What is r*i(p) + k(p)?\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(308)\/(sqrt(22)\/sqrt(2)) + -1*sqrt(28)*2)\/(sqrt(196) - (-3*(sqrt(196) + (sqrt(196)*-2 - sqrt(196))) + sqrt(196))).\nAnswer: sqrt(7)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1091*0.638\nAnswer: -696.058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3*k = 164906, 0 = 5*h + 4*k + 25130 - 190022. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 75 = -35*s + 70, -3*s = -5*c - 116 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 8) to base 16\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (9408\/1029)\/(2*275\/110*(-4)\/14)\nAnswer: -32\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/7 or 4\/13?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 8*a + 440. Let k = a + -56. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -9, -1.04, 4, 5\/7?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*a**3*j*k**2*r - 2*a**3*j*k - 4*a**3*k**2*r**2 - 4*a**3*k**2*r + a*k**3*r - 21*j*k*r**2 + 3*k**3*r**2 wrt r?\nAnswer: -8*a**3*k**2 - 42*j*k + 6*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of -1\/20*q**5 - 3\/2*q**2 - q**3 - 8*q + 0 - 1\/2*q**4. What is s(-4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - t + 2*o - 31 = 0, -5*o - 17 = t. Let r = t + 10. Solve 2*y - 1 = 4*y - 3*c, -r = y + c for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1\/(-5) - (-168)\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1669235.\nAnswer: 5, 53, 6299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -a**4\/4 + 3*a**2 + 2*a + 5. Let j(c) be the first derivative of d(c). Differentiate j(t) wrt t.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 7*f - 5*m - 265, 5*f - 277 = 2*m. Suppose -12*y + 48 = 264. Let d = 33 + y. Calculate the remainder when f is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-three eighths of a centimeter in micrometers?\nAnswer: 78750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1036.96 and 1.\nAnswer: 1036.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/13*(0 - (12 + -13)) - 13160\/364?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 2.1. Let q = 1 - 4. Let y = -1.069 - -0.069. What is the closest to y in z, -1, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14140 divided by 14.\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -159*d**2*m**2 - 6706*d*m**3 + m**3 + 2*m + 2859275 wrt d?\nAnswer: -318*d*m**2 - 6706*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 208172 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 10*c**2 - 7*c - 10. Let u = 5 + -29. Let o = u - -14. What is the units digit of s(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 96 + -93. Let n(i) = -i - 2. Calculate n(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**2 - 2885*c + 19950.\nAnswer: 5*(c - 570)*(c - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 182*u + 1357. What is s(-8)?\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2259)\/(-24))\/(8\/(-32)). Let w = -372 - x. What is the common denominator of w and 89\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -c - 8. Let g = -1 - 5. Let l be -2 + (-3)\/g + 1. Sort c, 1\/5, l in descending order.\nAnswer: 1\/5, l, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -322, -331, -340, -349?\n\"Answer: -9*o - 313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(-1 - -10) - (-5 + 3). Calculate the common denominator of -47\/14 and ((-198)\/(-32))\/(-3) - t\/(-22).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-4)*z**(-3\/5)*z)\/(z**(-5)\/((z\/z**(-2\/13))\/z)))**(2\/35))**(4\/13) assuming z is positive.\nAnswer: z**(808\/29575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23.046? (a) 2\/3 (b) 4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1873, -4160, -6447, -8734, -11021, -13308?\n\"Answer: -2287*f + 414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 - 3*c**2 + c - 1. Let g be w(3). Let n be (-1214098)\/366212 + g\/(-7). Let t = -12\/1189 - n. Calculate the common denominator of t and 95\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 764045 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -50 + 95. Let g be ((-44)\/6)\/((-3)\/27). Let n = g - l. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2964 + 3132 = 6*q. What is the hundreds digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36 - -54. Let n be 8 + l\/(-3) - 1\/1. Let o be 2\/n - (-8 - -6). Solve 2*b - g - 7 = 0, -o*b - b + 2*g = -16 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 - 5)\/((-2)\/60). Suppose -5*g + 5*u + 25 + n = 0, 0 = 5*g + 4*u - 100. Suppose -g = 4*x, 6*y - 2*y - 3*x = 204. Is 16 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -300 or -2959895?\nAnswer: -2959895","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*b - 67*b - 2*a + 131 = 0, 3*b - 35 = 4*a - 78 - 50 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) + -1 + sqrt(539) + sqrt(539) + 2 + (sqrt(539) + -3*1*sqrt(539) - sqrt(539) - sqrt(539)) + (4*2*sqrt(539) - (2 + sqrt(539) + -1)))**2.\nAnswer: 19404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 4 = 2*d. Let q(a) = -8*a - 6 + 31*a**2 + 0*a - 32*a**d. Let w be q(-7). What is the closest to -1 in w, 0.4, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*w + 13*w**2 - 86*w + 32*w**2 - 49*w**2 + 1 + 18*w**2 to y*w**2 + t*w + l and give t.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2 + 2*k**3 - 2*k - 9*k**3 - 8. Let q(z) = 36*z**3 + 11*z + 30. Let o(i) = 11*f(i) + 2*q(i). Find the first derivative of o(r) wrt r.\nAnswer: -15*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -4*c**2 + 3*c - 5. Let l be s(3). Let w = l + 31. Is w\/(-2) + (-1444)\/(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 357*q - 358*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5845.8 + -5846. Put -3984, 0, -1, v in ascending order.\nAnswer: -3984, -1, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**4 - 180*t**3 - 1215*t**2 + 7400*t - 6000.\nAnswer: -5*(t - 3)*(t - 1)*(t + 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nl when two letters picked without replacement from ollolellaolnlaoelll.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, v: 2, q: 2, h: 1, y: 1, s: 1}. What is prob of sequence yh?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4553 plus 0.00516?\nAnswer: -4552.99484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 5:17 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.31 + -4.31. Which is the nearest to 3? (a) -2 (b) 0.8 (c) 0.4 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k**2 - 28*k + 51. Let l(a) = -a**2 - 3*a + 3. Let s(u) = -3*l(u) + y(u). What is s(15)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 2. Let q = r + 2.03. Let i = 0.33 - q. Which is the second biggest value? (a) i (b) -0.5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from iqimimimqiiqiq.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(12\/5)\/((d\/(d\/(((d**(-1\/2)*d)\/d)\/d*d))*d)\/d) assuming d is positive.\nAnswer: d**(29\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1272775, 2545548, 3818321, 5091094?\nAnswer: 6363867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.66 + -0.74. Suppose 4*u = -4*f + 24, 6*u - 6 = 2*f + 2*u. What is the closest to 0.1 in f, 0.3, q?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -8 + 7 + (4 - 1). Suppose -s*l + 4 = -0*l. Suppose l*j - 20 = -2*j. Solve j*y = 4*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5\/27379 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 95490 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.01 + -4.3. What is p rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6975045 is divided by 56?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -21*g + 30*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((2*sqrt(77)*3 - sqrt(77)) + (sqrt(77) - sqrt(77)*1)*1)\/(4*sqrt(66)\/(sqrt(24)\/sqrt(4))))*5.\nAnswer: -10 + 25*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -203203 (base 4) in base 2?\nAnswer: -100011100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17354?\nAnswer: 2, 8677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1710)\/(-40) + (-15)\/(-12))*12\/16. Solve m + 62 = 19*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2338056 and 8.\nAnswer: 18704448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 2829.8151 days?\nAnswer: 404.2593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*n - d + 20 = -21*n, -n + 4*d = 15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 33*u**2 - 5*u + 59. Calculate p(0).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 s, and 1 w when three letters picked without replacement from iiiiiwsqisioww.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*n**3 + 2*n**4 - 2 + 3*n**3 + 13*n**3 - 2*n - n**2 to j*n**4 + r*n**2 + u*n**3 + t*n + c and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -20*z**3 + 184*z**2 + 35*z + 44. Calculate o(9).\nAnswer: 683","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -3*y + 29, -2*r = -y - 0*r + 11. Suppose 5 = -y*l + 38. Solve -5*k + 1 = l for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 182 + -182.05. Sort r, 1, 0.2 in increasing order.\nAnswer: r, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2 (b) 1 (c) -40.43 (d) -67\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28536583, 28536605, 28536627, 28536649?\nAnswer: 28536671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - q + 39 + 16, -5*m - 4*q + 145 = 0. Suppose -2*t + 7*t - m = 0. Calculate the greatest common factor of t and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a litre in millilitres?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 - 0.000202.\nAnswer: -0.500202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -101 + -5?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 v when two letters picked without replacement from vvq?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**2 + 21*x - 189414381036 + 189414381036.\nAnswer: 2*x**2 + 21*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-42)\/((-8 - -3)\/5). Let h = g + -46. Put h, 3, 12 in descending order.\nAnswer: 12, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3716\/29728)\/(((-2)\/656)\/1)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 32467 = -2*j, 0 = -3*j - 20*c + 16*c + 48708. Find the common denominator of -7 - (j\/(-2112) + 1) and 81\/16.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 511 and 10766551.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 42*h**2 + 2*h + 103. Let y be g(42). Let t = y - -1469. What are the prime factors of t?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(121) - sqrt(121)*-5 - sqrt(121))\/sqrt(11).\nAnswer: -10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(4536) + sqrt(4536) + sqrt(56) + sqrt(224)\/sqrt(4)*3)\/(3*sqrt(72)*-3)*-5.\nAnswer: -25*sqrt(7)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/((-16)\/(-4))*(-3)\/(-4)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 5*k + 166. Let m(d) = d**2 + 18*d - 45. Is 13 a factor of m(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29671927 to the power of 1\/2, to the nearest integer?\nAnswer: 5447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*s + 29*s - 350 = -39*s for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4 + -4*(-1 + sqrt(208))**2 + -2.\nAnswer: -836 + 32*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-104\nAnswer: -10.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -51 + 1c?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*x**3 - 113*x**3 + 13193*x - 64*x**3 - 26386*x + 13193*x.\nAnswer: -226*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 + -18. Let z(h) = y*h - h - h + 0*h. Let f(a) = -a**2. What is z(f(v))?\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 7*l - 1. Let v be l*(-6)\/(-2 + -1). Solve -3*a = -5*a - 8, 0 = 5*k - a + v for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -306027, -612603, -919179, -1225755, -1532331, -1838907?\nAnswer: -2145483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 4*f = -5*d - 15, 25 = 3*d - 2*f. Suppose 5*j - 26 - d = -2*r, -3*r + 4*j = -58. Is r even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c - 14. Let w = 13 + -4. Suppose 91 = -w*g + 16*g. What is the remainder when r(g) is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -17466*c**3 - 568*c**2 + 568*c - 284. Let u(n) = 4*n**3 - 2*n**2 + 2*n - 1. What is h(t) - 284*u(t)?\nAnswer: -18602*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 171 - -90. Is 8\/(-20) + j\/15 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -9*i - 9. Let c be f(-1). Put 4, c, -78, 2 in decreasing order.\nAnswer: 4, 2, c, -78","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 2)*(306 - 306 - 36*k).\nAnswer: 36*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 7:22 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -661744603722 - 6*v**2 + v**3 + 661744603722.\nAnswer: v**3 - 6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14447 - 14381. Which is the nearest to 1? (a) -2\/11 (b) -2\/9 (c) -1\/7 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/600 and -7\/24?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 71512 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9904 divided by 2.\nAnswer: 4952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/4)\/(2795\/559)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.8 and 17370?\nAnswer: 17371.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1033584320 greater than 1033584319?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 133 = -3*q, 4*q - 121 = 5*w + 38. Calculate the remainder when q is divided by 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 194438?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1281 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: Suppose 37 + 138 = 5*b. Suppose -3*u + b = -13. What is the lowest common multiple of u and 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -290 by -393322.\nAnswer: 145\/196661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.5216033nm?\nAnswer: 0.00000005216033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -3*t + 147. Let w(d) = -d**3 + 21*d**2 + 3*d + 2. Is 9 a factor of w(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - l**2 - l - 2. Let m be z(-4). Suppose 4*n - m = 118. List the prime factors of n.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 - 17. Suppose 3*u - m*w = u + 58, u - 23 = -w. Let j = -17 + u. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -3*d + 2*u, 14 + 30 = -4*d - 4*u. Let w = d + 30. What is the smallest common multiple of w and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1053.462714 to two dps.\nAnswer: -1053.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2627 (b) -5.9 (c) -2\/15 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1043 (base 8) in base 2?\nAnswer: 1000100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2160578 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-203)\/(-42))\/(4\/120). Let z be ((-2)\/5)\/((-232)\/h). Which is the closest to -2\/7? (a) -3 (b) z (c) -2\/3 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 127 - 117. Let d(c) = c**3 - 4*c**2 + c + 1. Let t be d(4). Solve 0 = -t*i + 3*l - o, i = -3*i - 4*l - 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2 = -1. Suppose 9 = 4*i + 1. Suppose 90 = 2*l - r*j, -5*l + 214 = -0*j - i*j. Is 12 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 4*g**2 - 8*g - 14. What is n(-6)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.97 - 0.03. Let f = -10 - -9. Sort f, l, 1.\nAnswer: l, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 11:45 AM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 65 = -8*h + 6*h, 0 = -4*h + 8. Let a = 107 - n. What is the remainder when 365 is divided by a?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2619268 and 252759362.\nAnswer: 505518724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -105 - 12*y + 105. Let h(w) = 2*w**2 + 3. Let x(m) = 2 - 1 + 2*m**2 + 3 + 0. Let p(o) = -4*h(o) + 3*x(o). Give p(f(n)).\nAnswer: -288*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 18d4849 (base 15) to base 6\nAnswer: 1444441223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) + (-2*sqrt(84) - sqrt(84))*1 + sqrt(84))\/(sqrt(300)*-4) + (sqrt(112) + 1 + sqrt(7) - (sqrt(7) + sqrt(7)*-3)*-6).\nAnswer: -139*sqrt(7)\/20 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 - 44*r**2 - 634*r - 2516. What is u(-6)?\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*t**3 - 90*t**2 + 90*t**2.\nAnswer: 21*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = 5*k - 148. Suppose k*f + 0*g + g = 55, -4*f = -5*g - 85. What is the closest to -0.1 in f, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -8*m - 378. Let k be w(-47). Sort -25, 3, k, -5, 2 in increasing order.\nAnswer: -25, -5, k, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -52690974*i + 47615979?\nAnswer: -52690974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) -0.4 (c) -32 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmhhhhvfhflhfhmhllf. What is prob of sequence vlm?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t - 3*t**4 + 2*t**4 + 3*t**2 + 2*t)*(3 + 2*t - 3).\nAnswer: -2*t**5 + 6*t**3 - 4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1083074 to four decimal places.\nAnswer: 0.1083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*l**4 - 5 + 5)*(2 - 3 + 2)*(-16 + 6 - 6) in the form t*l**4 + o*l**3 + h*l + j*l**2 + w and give t.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -85 + 82. Is 61 a factor of 2\/(-362*1\/122 - h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 263109325?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2448) + 1 + 3.\nAnswer: 4 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l - 13. Let i be s(0). Let h = 22 + i. What is the greatest common divisor of h and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 3*a - 32. Suppose a*x - 20 = 6*x. Is 10 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -y - 126. Let v be 21*(1 - (-3)\/y). Suppose -8*n - v = -10*n. What is the least common multiple of 3 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17251?\nAnswer: 13, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -4. Suppose -k - 1 = o - 3, -o + d*k = -5. Suppose 3*i = -3, -b - o*i - 7 = -5*b. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -163\/5117, -1\/4, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84449.\nAnswer: 84449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (498*c + 955*c - 1014*c)*(c**3 + 0*c**2 + 0*c**2) + 3*c**3 + 3*c**4 - c**3 - 4*c**3 to l*c + v*c**2 + w*c**4 + k + u*c**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 2*y - 13, 5*y + b = 6*y - 17. Suppose 0 = -c - y*c + 7005. List the prime factors of c.\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 l when two letters picked without replacement from {s: 1, l: 3, q: 5, h: 4}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/36*(-30 - -24)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1656.977864 rounded to 1 decimal place?\nAnswer: 1657","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2026 (base 10) in base 11?\nAnswer: 1582","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -79 + 61. Let u = -18.5 - f. Let c = 0.8 - 0.3. Put c, -0.1, u in increasing order.\nAnswer: u, -0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2497 + 2525. What is the remainder when 277 is divided by p?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 4*k - 17 - 3 = 0, 8 = j - 2*k. Suppose 2*u + h - 31 = -2*h, -5*u - j*h = -74. Suppose -u = b + b. Let p(i) = 2*i + 8. Give p(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 362197514?\nAnswer: 2, 7, 23, 37, 43, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11 or 193\/16?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -241.5 - -241. Put 0.3, j, 1, -0.1 in ascending order.\nAnswer: j, -0.1, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26141, -26147, -26157, -26171, -26189, -26211, -26237?\nAnswer: -26267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(384) - sqrt(36)\/sqrt(24))\/((sqrt(4) - (sqrt(4) + (sqrt(4) - -1*sqrt(4))*2 + sqrt(4)))\/(sqrt(128)*2)).\nAnswer: 120*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6712, -6748, -6784?\nAnswer: -6820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 139 - 139. Let f be 0\/1 + q\/83. Solve f = 3*z - 2*z + 2*a + 7, 2*a = -8 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in 2, -3\/463768, 1?\nAnswer: -3\/463768","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -14.82164 - -1310\nAnswer: 1295.17836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10803436883 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -16 + 1d49?\nAnswer: 1d33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 4*b = -2 - 11, 2*d - 12 = -b. Let n(a) = a - 1. Let z be n(d). Let m = 10 - z. Solve 0 = m*v + 18 - 2 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {b: 2, q: 11}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 9*r + 9 = 3*n, 0 = -5*n - 4*r + 13. Let w be n + ((-396)\/(-6))\/6. Solve 5*y + 4 = -w for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/3 - (-9)\/3. Suppose -v + 3*i - 19 = 0, -t*v - 63 = -2*v + i. Let r = 4 - v. List the prime factors of r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 0 - ((-730)\/(-10) - 15))\/3\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a millisecond in microseconds?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -1175889?\nAnswer: 1175889","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -59 at most -127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*v + 46597113*v**2 - 27 - 46597113*v**2 + 22*v - v**3.\nAnswer: -v**3 - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -23*f**2 - 15*f - 75. Let o be b(-7). Let j = 377 + o. What is j rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s + 10*s - 235 = 0. Let l = s - -51. Suppose 3*i = 5*i + 3*r - 166, -2*i = -l*r - 152. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -86 + 943076?\nAnswer: 942990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92901.\nAnswer: 3, 173, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**2 + 2*s**2 - 5*s**2 - s. What is x(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 - -0.1. Let r = 33\/5 - 34\/5. Let u(h) = -h**2 + 7*h + 4. Let m be u(7). What is the closest to y in m, 0, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.7 - 0.8. What is the closest to o in 3, -5, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -31, 4, 381, 2, 0 in decreasing order.\nAnswer: 381, 4, 2, 0, -3, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -29*c + 27*c. Let x be 635\/(-25) + c + (-4)\/(-10). Is 11 a factor of (44\/(-6))\/(24\/x)*8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -153) + (40 - 38) - 41\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -3, 2, -6 in ascending order.\nAnswer: -6, -3, 2, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -83*w. Let n(s) be the second derivative of s**4\/4 + 259*s. What is j(n(m))?\nAnswer: -249*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 897 - 882. Calculate the highest common factor of f and 465.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of -469*x**6\/15 + x**5\/10 + x**4\/12 - x**3\/3 + 1408*x**2 - 84*x - 5. What is the third derivative of n(p) wrt p?\nAnswer: -22512*p + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_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 f(z) = -1 - 4*z**2 + 9*z**2 + 3 - z**3 - 9*z**2. Let r(u) = u**3 - 7*u**2 + 7*u - 6. Let s be r(6). Let l be s - (2 - 4) - 5. Calculate f(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1357534 is divided by 4665.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22450943 to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(((-3)\/2)\/(51\/34))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6679523*c**6 + 80*c**2 - 8*c - 3?\nAnswer: -801542760*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3812*d + 26771. Determine y(-7).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-3)*((-318 - 40) + 31).\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2a0b + -1?\nAnswer: 2a0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from meemmmemmemmemmm.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of v**7\/840 + v**6\/120 - v**5\/120 - v**4\/8 + 22*v**3\/3 + 3*v**2. Let d(i) be the first derivative of o(i). What is d(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/7 + 5*u\/7 + 6\/7.\nAnswer: (u + 2)*(u + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -5*g**2 - 16*g - 29. Let s be d(-8). Let y = s - -223. Solve 0*k = y*k - 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1894269529?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 194865*z**2 - 115360070*z - 5920 = 0.\nAnswer: -2\/38973, 592","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 4*u**3 - 2*u**2 - u - 2. Let q be n(2). Suppose 0 = -3*r - q - 25. Let z = 1 - r. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2587 - 94?\nAnswer: -2681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -200210002 (base 3) in base 7?\nAnswer: -54626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.4600648mg?\nAnswer: 460064.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3582, 4095, 4598, 5091, 5574, 6047, 6510?\nAnswer: 6963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1503, -2952, -4345, -5682, -6963, -8188, -9357?\n\"Answer: 28*t**2 - 1533*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*s**2 - 6*s**2 - 2*s**3 + 4*s**3 + 2*s**2 wrt s?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*o - 7*o - 35 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b\/(b\/((b*b*b**(-4)*b)\/b)))\/(b*b**(-1\/13)\/b*b)*(b*b*b*b*b*b*b\/((b*b\/b**(-1\/5)*b)\/b)*b)**(1\/53) assuming b is positive.\nAnswer: b**(-2803\/3445)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 292*i**2 - 127*i**2 + 10*i**2 + (3 - 1 + 0)*(i**2 + 5*i**2 - 3*i**2) to the form c*i + n*i**2 + o and give n.\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 8:57 AM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l + 3. Let n be t(0). Suppose -2*a = 2*a + 8, 3*p = 2*a + 214. Suppose 0 = n*i + 1 - p. What are the prime factors of i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71 + 66 = -2*f + k, 3*f - 17*k = 24 - 1 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(1573) - (0 + sqrt(1573) + sqrt(1573))) + 0)**2 + -2 - -4*(-1 + 1 + sqrt(1573) + -5).\nAnswer: 44*sqrt(13) + 1552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**4*f**3 - 3*a**4 + 115*a*f**3 + 3*a*f wrt a.\nAnswer: 12*a**2*f**3 - 36*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 202 (b) -4 (c) 2\/9 (d) 5 (e) -2\/27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/1054*(-32984)\/1596\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10689441 + 10689439.1852948. Let l = w - 0.0853598. Let z = l + 1.9. Round z to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/14)\/(70\/196)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 13*l - 5*k - 8, 3*l + 3*k = 27 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 72\/7, 9.14468, 0.1?\nAnswer: 72\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 5*r**3 + 6*r - r - r**2 - 4 - 4*r + 3. Let c be s(1). Suppose -6 = -l - 4*g + 35, -5*l + 157 = -c*g. List the prime factors of l.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of -2*u + 3*u**2 + 13 + 1\/3*u**3. Give l(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 335504395?\nAnswer: 5, 5867, 11437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20406394 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y + 2. Let s be z(-3). Let l = -912\/7 + 9701\/70. Let k = -17\/2 + l. Which is the nearest to k? (a) s (b) -3\/4 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from msmllysmlhhhhym. Give prob of picking 2 h.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: (-10 - -12)\/(235500\/3225 - 73)\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 divided by 85?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 - 4*i + 4. Let q be (2 + -3)\/((-2)\/(-6)). Let j(w) = -w**3 - w**2 + 4*w + 1. Let b be j(q). Suppose 0 = 2*c - 1 + b. Determine o(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 + -20. Suppose -4*a = -g*a + 15. What is the greatest common factor of a and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + d**2 + 23*d - 30. Let q be v(-6). Calculate the highest common factor of q and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 7:55 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/5*20\/(-4). Let p be -3*w - 41\/(-13). Let i = 3478\/5 + -697. Which is the smallest value? (a) p (b) 2\/3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -116, -92, -68?\n\"Answer: 24*b - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 16, -2287, -1, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 809*d + 40453. Calculate j(-50).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 161 (base 7) in base 13?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(-2))\/(4\/40). Suppose w*z + 9 = -u + 472, 0 = 2*z + 4*u - 196. What are the prime factors of z?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 216*b - 497 + 2542 + 979 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 1. Let c = q - -1. Let p(x) = x**2 - x. Let n(r) be the first derivative of r**3 - r**2 + 5787. What is c*p(u) + n(u)?\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*v**2 + 24*v**3 + 27*v**3 - 53*v**3 + 10*v**2 to the form h*v**3 + l*v**2 + d*v + c and give l.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 71*r - 4. Let c(u) = -86*u + 5. What is -2*c(j) - 3*p(j)?\nAnswer: -41*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r - 876 = 3050. What is the remainder when r is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -2 + (-3 - -6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a and 1 h when four letters picked without replacement from {r: 4, w: 3, j: 3, h: 4, a: 3}.\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 - 7*d - 32. Let v be f(11). Suppose 5*m - v = m. Solve -2 = m*l - 17 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1 + sqrt(20)*-1))**2.\nAnswer: 144*sqrt(5) + 756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(567))*-5 + -4)**2.\nAnswer: 360*sqrt(7) + 14191","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1066, -2138, -3210?\n\"Answer: -1072*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v - 6. Let j be o(-6). Which is bigger: j or -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 5*h**3 + 2*h - 537. Let i(b) = b**3 - 2. Determine -d(k) + i(k).\nAnswer: -4*k**3 - 2*k + 535","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(2*(2 + sqrt(1100) + -5) - sqrt(1100)*-3*-2*-3)*4)**2.\nAnswer: -345600*sqrt(11) + 63365184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -51067 * -862.8\nAnswer: 44060607.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/(19684\/74)*14\/16?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qiqi when four letters picked without replacement from iqiqiqiqiqiqqiiqqii.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lroocr. Give prob of picking 2 o.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**5 + 175*a**4 + a**2 + 10*a.\nAnswer: 60*a**2 + 4200*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4*h + 5)*(3*h**4 + h**4 - 2*h**4) + h**5 + 3*h**5 - 3*h**5.\nAnswer: 9*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-270)\/36)\/(25\/(-40)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21880 - 21877. Which is bigger: 23.01 or j?\nAnswer: 23.01","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 14 and 2970339.\nAnswer: 41584746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 43, 24, -37, -152, -333, -592?\nAnswer: -941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26901 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 192454061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -4*t + 195. Let s be n(49). Let i(m) = m**3 - 1. Let v(w) = -1. Determine s*v(j) - i(j).\nAnswer: -j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -a2?\nAnswer: 9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.44 - 4.62. Let z = -0.46 - j. Round z to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 14257429*y - 583. Let p be o(27). Round p to the nearest one million.\nAnswer: 385000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.4654 decades in centuries?\nAnswer: 1.34654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -87451991?\nAnswer: 87451987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30934, 61861, 92788?\nAnswer: 123715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(25)*-4)\/sqrt(5) - (-4 + sqrt(320)))**2.\nAnswer: -96*sqrt(5) + 736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppppppppp. Give prob of picking 4 p.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -39, 2\/11, 4, 4\/7, 9.1 in decreasing order.\nAnswer: 9.1, 4, 4\/7, 2\/11, 0.1, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 340998323 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 5*i = -8 + 43, -5*i + 10 = -2*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -9*h**2 + 207*h + 7. Let i(f) = -2*f**2 + f + 2. Give 4*i(s) - n(s).\nAnswer: s**2 - 203*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = z - 6, -17*n = -21*n + 3*z - 38 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(272)*-1 + sqrt(272))*-5 - (sqrt(272) - (sqrt(272) + sqrt(272)*-2))*3) + 4*(sqrt(272) - (-4 + 2*sqrt(272) - sqrt(272))))**2.\nAnswer: -60288 + 4608*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000158553 rounded to five decimal places?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 - -20. Let b(a) = a**3 + 7*a**2 + 5*a + 5. Let u be b(r). Let o = -9 + u. Does 21 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 10:50 AM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 4.511569 micrograms?\nAnswer: 0.000004511569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 12 = -0*y - 5*v, -5*y = -v - 24. Suppose -4*g = -7*g - y*q + 312, -294 = -3*g + 2*q. Let h = g + -22. Is 15 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w + 2*o + 7, -3*o = 2*w + 8 + 4 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 19*t - 381. Let q be j(77). Which is greater: 1083 or q?\nAnswer: 1083","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4132 - 4132.3. Put -627, k, -0.4 in decreasing order.\nAnswer: k, -0.4, -627","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186210797 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, m: 2}. Give prob of sequence mm.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.4 + 1.6. Let p be (-140)\/100 + 22 + -21. Which is the closest to p? (a) 0.1 (b) 0 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*n**2*o - 3820*n**2 - 3*n*o**2 - 175225*o**2 with respect to n.\nAnswer: -6*n*o - 7640*n - 3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -4*m - 244, 0 = -5*i + 5*m + 936 - 346. Let y be 3*(-1)\/(-18) - (-41)\/i. Is 0 != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in -2\/5, -4, 2242?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 38416 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-2))\/(5\/6 - 1). Let r be (0 - -52) + m\/((-12)\/(-8)). Let q = r + -45. What is the least common multiple of q and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 45*s - 23032 - 5093. Let t = s - 620. Solve -t*u = 2*d - 33, u = -4*d - 3*u + 36 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*l**2*p**2*w + 2*l**2*p*w + l**2*w + 56*l*w**2 - p*w**2 wrt p.\nAnswer: 6*l**2*p*w + 2*l**2*w - w**2","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 {q: 7, b: 9}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -2709.61997 to the nearest 10.\nAnswer: -2710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 281465 and 1008805?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**2 - 6*l - 1. Calculate t(6).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31.5 - 103. What is x rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 27*j**2 - 1. Suppose 4*z = -u + z + 7, 5*u - 2*z = 1. Calculate s(u).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1660714 is divided by 3110?\nAnswer: 3084","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 9, -1, 76.\nAnswer: -5, -1, 9, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 9) to base 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33 - -13. Let b be 8\/10 + (-4)\/h. Put -3, 2, b in descending order.\nAnswer: 2, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x**2. Let z(s) = -4*s - 7*s + 3*s + 4*s. Determine z(w(d)).\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 70888.69 millilitres?\nAnswer: 70.88869","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 6*y - 19. Let b be z(9). Suppose -n + b = -0*n. Is 5\/2*11018\/n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -3, -4, 2\/337, 14, -0.3 in descending order.\nAnswer: 14, 1\/3, 2\/337, -0.3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -2 - (2 - 4 - 8) - 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58645?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-3*(1 + sqrt(891) + sqrt(891) + sqrt(891) + -4 + sqrt(891) + -2 + 5*sqrt(891)*-3) + 4)**2.\nAnswer: 11286*sqrt(11) + 970658","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/5 + 152*u**2\/5 - 1287*u\/5.\nAnswer: -u*(u - 143)*(u - 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 655457046 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 0.037 (c) -3 (d) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 bigger than -84429312?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -73 + 250. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5548 + -1?\nAnswer: -5549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (24 - (-11 - -15)) - -14.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1163*x - 1676*x - 24314 - 15446 + 3850 = 0 for x.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/838 and 139\/18.\nAnswer: 7542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11618)\/(-266) + 146\/(-1387) + (-56)\/98.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**2 + 4*k**2 - 23 + 23.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -ada (base 16) in base 6?\nAnswer: -20510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4236 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -127360?\nAnswer: 127365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/6962 and 13\/708?\nAnswer: 41772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -324.589 rounded to zero dps?\nAnswer: -325","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.07 in 3\/7, -296, 0.4, 1\/5, -48\/23?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-7)*1)\/(-2 + 21408\/10752).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.143 * 2412.3\nAnswer: 344.9589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 275, 19, -2, 129, -3 in decreasing order.\nAnswer: 275, 129, 19, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 1. Let u(n) = -4*n**3 + 11*n**2 + 10*n + 3. Let h(j) = 5*s(j) - u(j). Let f be h(-10). Solve i = -3*c + c + 3, -f*i + 4 = 2*c for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 7:21 PM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/13)\/v**8)\/(v*v*v**(2\/5)*v)**(-1\/71) assuming v is positive.\nAnswer: v**(-37409\/4615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 73253.97 micrograms in nanograms?\nAnswer: 73253970","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 11208.0024 nanoseconds?\nAnswer: 0.00000000012972225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3094361 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 79\/2 of a microgram?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u**2 - 9*u - 5. Let m(g) be the third derivative of g**5\/30 - 3*g**4\/8 - g**3 + 713*g**2. Calculate -5*m(x) + 6*o(x).\nAnswer: 2*x**2 - 9*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5751095 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 6*r**2 - 4*r + 3. Suppose 34 = 4*c + 14. Let y be b(c). Let f = y - 5. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -3*s**2 - 7*s - 12. Let x(c) = 16*c**2 + 34*c + 59. Let v(r) = 11*m(r) + 2*x(r). Let w = -260461 + 260455. Calculate v(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of -o**3\/6 - o**2 + 6*o. Let z(b) = b + 1. Let m(p) = u(p) + 2*z(p). Let x(v) = -4*v**2. Calculate x(m(t)).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -83*a**3 + 4*a**2 - a - 9. Let h(j) = -21*j**3 + j**2 - 2. Let p be -6 + 4\/2 + (-2 - 0) + 4. What is p*i(w) + 9*h(w)?\nAnswer: -23*w**3 + w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181853574?\nAnswer: 2, 3, 7, 4329847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 459 divided by -26\nAnswer: -459\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -28737146.3 to the nearest 100000.\nAnswer: -28700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 + 31. Let h(d) = 16*d**2 - 2*d + 1. Let b be h(1). Solve v*a + b = a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6271 is divided by 72?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 21997509887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 21167 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + w + 59. Let f be u(0). Suppose 4*h - 8 = -2*s, -3*h + 5*s + 8 = h. Suppose h*t - d + 2*d - 61 = 0, 2*t - f = d. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2*l - 131*l**4 + 157*l**4 + 2 + (0 + 1 + 1)*(-l**4 - 2*l**4 - l**4).\nAnswer: 18*l**4 + 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2332207, 2332243, 2332305, 2332393, 2332507, 2332647?\nAnswer: 2332813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1525910?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 163*w - 4. Let z be t(-2). What is the common denominator of ((-177)\/10)\/(-1 - 2) and (-9)\/(-3) + 1075\/z?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*z + 161*z - 24 = 0 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 11*a - 115 - 1 - 7*a - 169.\nAnswer: 4*a - 268","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 3)*(-3*t + 3*t - t) + (-3*t - 3*t + t)*(-8 - 5 + 9) + t - 2*t - t.\nAnswer: 19*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of m**5\/30 + 5*m**3\/3 + 10*m**2. Let o be s(0). What is the units digit of (-546)\/(-9) - o\/15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 5, -0.14, -2\/9, 3\/2, -2\/17?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 13) to base 15.\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/5 + 15152*f\/5.\nAnswer: 2*f*(f + 7576)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from {r: 6, z: 7}.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2323, -2313, -2293, -2263, -2223, -2173, -2113?\n\"Answer: 5*g**2 - 5*g - 2323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 2:26 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 + 11 = -4*t. Suppose 0*n - t*n + 456 = 0. Calculate the greatest common factor of 19 and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/16867 or 6\/31?\nAnswer: -6\/16867","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29130995 by -42527.\nAnswer: 685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -132*x**2 - 7*x + 11. Let y be p(3). Suppose 42 - 10 = -4*t. Is y\/t - 15\/20 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123332746 is divided by 462?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 2, e: 1, y: 1, q: 1, z: 1, d: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-2) + (-12 + 12)\/12.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2)\/(-6) + (-87)\/90 and (-553)\/(-165) + (-12 - (-2948)\/242).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6 - 23)\/(1\/146). Let o = 27282\/11 + y. What is the common denominator of o and -97\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-1\/4))**(2\/15)\/(((w*w**(-1)*w)\/w)\/w**(-4\/5)) assuming w is positive.\nAnswer: w**(-19\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*b = -31 + 103. Calculate the smallest common multiple of 8 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1041338.\nAnswer: 2, 587, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2\/4 - 1770177*x\/4 - 8851185.\nAnswer: 3*(x - 590079)*(x + 20)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -48795.\nAnswer: -4\/48795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 130\/11, -2, 2\/7, 0.8, 1\/2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1343 divided by -17\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of 1\/50*c**5 - 2\/5*c**2 + 4*c + 0*c**4 - 10 - 1\/5*c**3. Let m(l) be the first derivative of x(l). Factor m(b).\nAnswer: 2*(b - 2)*(b + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 6*s**2 - 211*s - 45220. Calculate n(-71).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h - 8*h - 18*h)*(4*h**3 - 4*h**3 + 2*h**3) - h**4 + 2*h**4 - 3*h**4 - 3*h**4 + h**4 + h**4.\nAnswer: -61*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 104*n**2 + 8*n - 13. Let i be 10\/(-15) + (-16)\/(-6). What are the prime factors of v(i)?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (3 - 15) + 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11770 - -11770. Suppose 2*q = 4*s + 15 + 3, 3*q - 13 = 4*s. Sort -1, s, v, -5 in ascending order.\nAnswer: s, -5, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-255)\/204)\/((-7)\/(42\/(-5)))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/((-25)\/(-4)))\/(-2)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 9473.228 milligrams?\nAnswer: 0.000009473228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 4*b**2 - 109*b - 506. Let i(a) = -13*a**2 + 328*a + 1518. Let g(z) = -2*i(z) - 7*p(z). Differentiate g(q) with respect to q.\nAnswer: -4*q + 107","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 8 = -6*r, -3*r = -3*q - 18 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 520 and 1670.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 862.2 (b) 286 (c) -7\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 12:00 PM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -242*o**2*z**4 + o**2*z**3 - 267*o**2*z - z wrt z.\nAnswer: -2904*o**2*z**2 + 6*o**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*f + 27*f - 12 = 0, -l + 497 = 2*f. What is the remainder when l is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-5\/9)\/(j*j*(j\/j**(12\/11))\/j*j) assuming j is positive.\nAnswer: j**(-244\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*k - 31715 = 6719 - 11614. Round k to the nearest 100.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 0 - (-2 + 3 + 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - 1. Let z be ((-5)\/(-15))\/((-1)\/b). Suppose 2*w - r = -2485, z*r + 1255 = -w + 5*r. What is w rounded to the nearest one hundred?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**2 - 170900412*b + 2433912568480812 = 0. Calculate b.\nAnswer: 28483402","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 313952 != -694?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 769543*h**3*k**2 + h**3*k - 6666540*h**3 wrt k?\nAnswer: 1539086*h**3*k + h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -542*v + 9514. Does 20 divide f(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88 and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 113*s - 4680. Let n be p(41). Which is smaller: -131 or n?\nAnswer: -131","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 - 1)*(-52 - 4*h + 52)*(-h + 2*h - 2*h)*(2 - h - 2)*(-1 + 2*h + 1) in the form x*h**4 + c*h + t*h**2 + b*h**3 + w and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (646*(-36)\/(-3420))\/(62\/15 - 4).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 9, -301 in increasing order.\nAnswer: -301, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**2 - 11*y - 30. Let g(h) = 3*h**2 - 22*h - 60. Let d(k) = -3*g(k) + 5*p(k). Let m be d(-4). Solve -m*x + 0*x = -4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -208*h**2*w**3 - 4*h**2*w - 4267*w**3 + 3*w**2 wrt h.\nAnswer: -416*h*w**3 - 8*h*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-6))\/((z*z\/((z*z**(-9\/2))\/z*z))\/z) assuming z is positive.\nAnswer: z**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -13.16 * -1\nAnswer: 13.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 295 + -281. Calculate the remainder when m is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146243133.\nAnswer: 3, 19, 601, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1160 - -647. Let b = 508 + y. Is b smaller than -62\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from yyvvvyv?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16219, -65781, -148377, -264007, -412671?\nAnswer: -594369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of -p**5\/60 - p**4\/8 - p**3\/6 + 3*p**2. Let y be m(-2). What is the units digit of y*(-2)\/(-3)*6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007354505 to 6 dps.\nAnswer: 0.000735","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 414, 0, 38253 in decreasing order.\nAnswer: 38253, 414, 0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c\/(c**(-2\/5)\/c*c)*c*c**(-2\/5)*(c*c**3*c*c)\/(c\/(c*c\/(c\/(c**(5\/7)\/c))*c)) assuming c is positive.\nAnswer: c**(68\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -58.748100935 and 9977.\nAnswer: 9918.251899065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -471.72 and -112.47?\nAnswer: 359.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82, 806, 2884, 7030, 13958?\nAnswer: 24382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 PM and 7:39 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -3. Let o(c) = -10*c + 1. Let n(m) be the third derivative of -m**4\/12 + 2*m**2 - 4*m. Give q*o(u) - 11*n(u).\nAnswer: 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 8) to base 14\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -299*n + 1 + 299*n - 5*n**2 to the form d*n**2 + r + s*n and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 156593 > 156590?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*k + 5 - 35. Let x = 833899 - -1156102. Suppose x = -k*r - 499999. What is r rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 456 and 3696?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 9) to base 3\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3577 and 5621?\nAnswer: 39347","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11210031 + 10?\nAnswer: 11210041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 64 in -5, -2\/21, -128?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(119) - ((sqrt(119)*1 - sqrt(119)) + sqrt(119))*3) + sqrt(119))*6*6)\/(1*sqrt(3388)*1 + sqrt(3388)).\nAnswer: -27*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-19))**50 assuming i is positive.\nAnswer: i**1000","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.091 + 1.909. Put 9, -1\/2, d in ascending order.\nAnswer: -1\/2, d, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3582 - -506b?\nAnswer: 8631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u\/u**10)\/u*u*u**0)\/(u**2)**(1\/10))**(5\/2))**(-2\/7) assuming u is positive.\nAnswer: u**(41\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3646445 and -3?\nAnswer: 3646442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 3*p - 25 = 0, 18 = 29*j - 37*j - 2*p for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 2*t = -2, i = -0*t - t for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n - 8*n**2 + 2*n**4 - 2*n**3 - 7 + 6*n**2 + 4 - 3*n**4 in the form q*n**2 + t*n + d*n**3 + s + x*n**4 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1 + sqrt(1900)) - (-4 + sqrt(76) - (sqrt(95)\/sqrt(5) + 4)))**2.\nAnswer: -306*sqrt(19) + 49428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195 = -5*a + 3*m - 7*m, -117 = 3*a + m. Let g = 61 + a. Is 8 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20.09 + -20. Let n = o - 1.09. What is the nearest to n in -5, 1\/5, -4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -6\/1465 (b) 0.5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hdd when three letters picked without replacement from {h: 4, j: 2, k: 1, d: 3, i: 6}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 24\/2*((-5)\/20)\/(-1). Suppose -s*x = 3*y - 3360, 2*y + 563 = 4*x + 2785. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 3:28 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 101782 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 515765 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18878?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 2*w + 4*g - 25, -5*g = -2*w + 43. Suppose a + 8 = y - 0*a, 2*a = 4*y - w. What is the second derivative of 2*q**3 + y*q**3 - 2*q**3 - 4*q wrt q?\nAnswer: 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23171162 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -5*o + t + 37, o - t = 8. Suppose 93 - 18 = o*z. Determine y, given that 4*y**2 - 2*y**2 - z - y**4 + 14 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 8*i**2 + 69*i - 181. Is m(-35) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3 + 63373121*x**2 - 63373120*x.\nAnswer: -x*(x - 63373120)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 79 + -392\/5. Suppose -i*g**2 - 6\/5*g - 3\/5 = 0. Calculate g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2836*w + 379 wrt w?\nAnswer: 2836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 5*z - 21 = 0, 17*n = 12*n + 3*z + 1 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 3)*(-23*m**4 - 34*m**4 - 43*m**4).\nAnswer: -400*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -778*f**3*r - 6*f**3 - 18*f**2*r**3 + 279*f**2 wrt r.\nAnswer: -778*f**3 - 54*f**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.05, -3, -0.6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-14)*3660\/(-1525)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -199*x**2 + 21*x**2 + 27*x**2 - 397*x**2 - 119*x**2 - 125*x**2.\nAnswer: -792*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 164791*c. Let b(o) = -102*o**2 - 2*o. Give v(b(d)).\nAnswer: -16808682*d**2 - 329582*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 8*y**2 + 14. Give h(7).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 456.1965 millilitres?\nAnswer: 0.4561965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(2 + sqrt(7)) + sqrt(175)*-5 + -2 + 3 + -5)**2.\nAnswer: 560*sqrt(7) + 5588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffyggggfhlf. What is prob of picking 1 h and 1 y?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.3, 221.949, 0.03.\nAnswer: -0.3, 0.03, 1, 221.949","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**2*p*s + 84*d**2*t**3 - 2*d*p*s*t**3 + d*p*s*t**2 + 2*d*p*t**2 - 3*d*s*t**4 + 3*d + 43*p*s*t**2 wrt t?\nAnswer: 504*d**2 - 12*d*p*s - 72*d*s*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, a: 3, y: 9, s: 1, h: 1}. What is prob of picking 1 s and 1 h?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 18*h. Let k(n) = 8*n**2 - 2. Determine w(k(g)).\nAnswer: 144*g**2 - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/((-35490)\/63))\/(((-27)\/30)\/(-9))\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 636683 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 68\/208839 and 23\/402.\nAnswer: 417678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 38\/(-8) + (7 - 3). Suppose -12*h - 63 = -3*h. What is the third biggest value in 0, 1, b, h?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26028 + 51501 - 25473 - 4*d**3.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 191967367 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 291 = 2*u + b, 204 = 3*u - 4*b. What is u rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-28)\/3115*18\/24. Is 0 greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -536269 - 4?\nAnswer: -536273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 237177458 - 237177458 - 20*m**3 - 2*m**3 - 5*m**3.\nAnswer: -27*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23*g**2*j**2 + 9*g**2*j - 2894*g**2 - 4*g*j**2 - 116446*g*j wrt g?\nAnswer: -46*j**2 + 18*j - 5788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 3*d = -12, -12*j + 5*d + 18 = -2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10691\/10 + 1060. What is the common denominator of 43\/14 and q?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8585)\/1010*28\/17.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3896, -4637, -5382, -6131, -6884?\nAnswer: -7641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m + m**4 + 3643*m**2 + 3*m**3 - 3652*m**2 - 4*m**4 to the form o*m**3 + v*m**2 + j*m**4 + s*m + u and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(((h**8\/h)\/h)\/h))*h)\/(h*h**(-1\/17))*(h**(-1\/3))**(2\/41))**31 assuming h is positive.\nAnswer: h**(326864\/2091)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1121302030 (base 4) to base 16\nAnswer: 59c8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 210059814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c. Let a(s) = -s**3 - 12*s**2 - 16*s + 3. Let i be a(-11). Let v(o) = -53*o**2 + 136*o**2 - i*o**2. Calculate d(v(z)).\nAnswer: -50*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of -3*z**5\/80 - z**4\/8 - z**3\/6 - 2*z**2 - 3*z. Let o(r) be the first derivative of m(r). Find j, given that o(j) = 0.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2179*h**2*r**3 + 78*h**2*r**2 + 11*h**2*r + h*r**2 wrt r.\nAnswer: 13074*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 964 a factor of 51067900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.16 - -0.76. Let l be ((-3)\/3)\/(-3)*(-18)\/(-48). What is the third smallest value in x, l, -3, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mhm when three letters picked without replacement from {j: 1, m: 2, h: 1, r: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 135634?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 84.3 - 15.3. Let m = h + -69.00043. What is m rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n\/n**(-7\/6)*n))\/n)**(3\/5)\/(n**(-25)\/(n**(1\/29)*n*n*n)) assuming n is positive.\nAnswer: n**(1481\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4410 divided by -90?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {m: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1159500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6788, -16120, -25452?\nAnswer: -34784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5928\/132 + (33 - 78).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 33.4 and 3885?\nAnswer: 129759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*d**2 - 7*d - 2*d**3 + 7*d)*(-5*d + 4*d + 3*d) as l*d**2 + b*d**4 + h*d**3 + g + y*d and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iioooowxixooix. Give prob of sequence owi.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 - (-1 - 2*-1). Let d be p\/18 + (-88)\/(-234). Let r = -0.35012 - -1.35012. What is the second smallest value in r, 5, d, -0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -316 - 316 + 632 - 2323*l to the form z*l + s and give z.\nAnswer: -2323","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1030 (base 4) in base 10?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3 + 9*v**2 + 18*v - 24.\nAnswer: -3*(v - 4)*(v - 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 94 = 11*n. Let u = 83 + n. Let o = 47 - u. Is 11 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 0, 22, 3, 2125, 5.\nAnswer: -3, 0, 1, 3, 5, 22, 2125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-4) - (-1)\/2. Let a(y) = -y**2 + 3*y + 4. Let s be a(3). Suppose s = v - b. Solve 0 = -3*x - 5*m + 32, 0 = -x - 3*x + 5*m - v for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 124 - 129. Let g(b) = -3*b**2 + 4*b + 5. Let z(h) = -h**2 + 3*h + 2. Let a(v) = x*z(v) + 2*g(v). Determine a(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 7*o + 6*o)*(0 + 3 + 7)*(-1 - 4 + 3).\nAnswer: -260*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 20*o**2 + 26*o - 1. Let l(y) = 103*y + 1235. Let z be l(-12). Determine w(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - l**2)*(-5*l**2 + 2*l**2 + 0*l**2) + 35 + 8*l**4 - 14*l**4 + 7*l**4 to i + y*l**3 + a*l**4 + v*l + q*l**2 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ukuk when four letters picked without replacement from {u: 4, k: 7, z: 3}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 357 divide 9232789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -1 - (8 - 4 - 5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -16 (b) 0.5 (c) 14 (d) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 382394.\nAnswer: 2, 19, 29, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + 12\/(-2) + 2. Suppose -3*t - 5 = 1. Put t, -1, o in decreasing order.\nAnswer: -1, t, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 9*l**2 - 8*l + 4. Let x be m(8). Let a(h) = 7*h - 17. Let o(u) = -4*u + 9. Let d(k) = -6*a(k) - 11*o(k). What are the prime factors of d(x)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/70 and 67\/120.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -40316*(-1)\/12 + (-10)\/15 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*l - 408 + 328 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 33043 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 24926093 + 14?\nAnswer: 24926107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d. Let m(i) = -1. Suppose 0*j - 2*y = -5*j - 8, -3*y + 12 = j. Suppose 3 = 3*v - j. Determine v*m(z) + 2*w(z).\nAnswer: 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70818048 divided by 184422.\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f + 13. Suppose -4*i + 4*g = 0, -5 = 3*i - 0*i - 4*g. Suppose 2*c = -w + 21, 0*w - 48 = -i*c - w. Suppose -2*r - c = -23. Give n(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 4 (b) -3 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3*x - 17 = 0, 4*i - 25 = -10*x + 7*x. Let o be (i + (-1 - 4))*0 + 60. Let c = o + -53. Is 6 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4\/553 - 32651\/3318. Calculate the common denominator of n and ((-2)\/(-13))\/(6851\/611 - 11).\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 (base 13) to base 12\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 - (10 + 0) - -33 - -12 - 16?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -4 + (0 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 0.02\nAnswer: 0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + i + 5*o + 22 = 0, 0 = -5*o - 10. Let f = 14 - i. Calculate the remainder when 200\/7 - 93\/((-10416)\/160) is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3 + 7186*f**2 - 71678*f + 64494.\nAnswer: -2*(f - 3583)*(f - 9)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -b + 0*b - 2 + 663*b**3 - 665*b**3 - 27*b**4 in the form h*b**4 + v*b**3 + k*b + f + m*b**2 and give h.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2669\/255 - 1\/(-3) and -18.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 474*y**3 + 130*y**3 - 331*y**2 - 891*y**3 wrt y.\nAnswer: -1722","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, l: 8, i: 3, p: 2, f: 4}. Give prob of sequence plf.\nAnswer: 32\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -616 (base 8) to base 5\nAnswer: -3043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -8*c + 4. What is the least common multiple of 7 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-63)\/(-42)*4\/(-3))\/(-9)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/12))**(-29)\/(c**(4\/3)\/c**(-26\/5)) assuming c is positive.\nAnswer: c**(-247\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 PM and 5:52 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 62069 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 62157 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -46, -70, -88, -100, -106, -106, -100?\n\"Answer: 3*a**2 - 33*a - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -605.2 to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 2)\/((-2)\/(-5)). Let y be (-2 + -1)*p\/3. Solve y*h - 5 = -2*g, -g + 3*g = -3*h - 1 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 + 22.3. Let t = -1.96 - 0.04. Let f = t + 1.8. Which is the biggest value? (a) -4 (b) q (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 261929?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**3 + 0*a**3 - a**3 + (4*a**2 - 2*a**2 - 4*a**2)*(2*a - 3 + 3) + (6*a - 3*a - 4*a)*(-122*a + a**2 + 122*a + (-4 + 1 + 5)*(a**2 + 3*a**2 - 3*a**2)).\nAnswer: -9*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -50, -75, -108, -149, -198, -255, -320?\n\"Answer: -4*i**2 - 13*i - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.16*-0.1.\nAnswer: 0.416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 3*d + 14. Let c be w(-3). Suppose -2*m + 23 - 27 = 0. Sort m, c, -4, 0 in increasing order.\nAnswer: -4, m, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -371 - -462. List the prime factors of y.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144\/(-80) + (-11058)\/(-5510).\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91 = -28*i + 119 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-459)\/(-42) + -10 - 6\/12. Put 3, 0.2, r, 7 in descending order.\nAnswer: 7, 3, r, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, u: 2, v: 2, a: 1, e: 1}. What is prob of sequence due?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/3 + 75\/9. Let g(r) = -r**3 + 9*r**2 + 4*r + 5. Let o be g(y). Let t = -25 + o. Is t a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a century in months?\nAnswer: 34200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*1194\nAnswer: -477.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 - 440?\nAnswer: -440.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000455688 to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 397034594.\nAnswer: 2, 11, 18047027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.3 + -42.3. Let p = d - -35.99999368. What is p rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 2:53 PM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(75) - (sqrt(75) - sqrt(75)*-1*3))\/sqrt(5))\/((sqrt(5) + (sqrt(5) - sqrt(5)*2) - sqrt(5))*5 + sqrt(30)\/(sqrt(6)*2)))**2.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14207 divided by -33545?\nAnswer: -14207\/33545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of f**4\/12 + 2*f**3\/3 - f**2\/2 - 6*f. Give m(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (105\/14)\/(24840\/(-3450)*2\/12)?\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 138, 145, 156, 177, 214, 273?\n\"Answer: t**3 - 4*t**2 + 12*t + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3241\/1690 + 3\/169. Find the common denominator of c and -21\/11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x - 3*x - 3*x + (-4 + 1 + 2 - 6 + 4 + 4 + 12 - 17 + 17 + (-3 - 4 + 5)*(-2 - 4 + 5))*(-x - 3*x + 6*x).\nAnswer: 24*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 + -1 + (328 - 0). Let r = v + -228. What are the prime factors of r?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -3\/69242?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - 2*d + 7 + d**2 - 8*d**2 + 3*d. Let i be p(-7). Suppose i = -n + 4. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*l - 4*l + 6816 = 0. What are the prime factors of l?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 20*b - 6568602 - 19843298 = 0. Round b to the nearest 100000.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*z**3 + 10*z**3 + 3*z**3 - 4*z**2)*(2*z + 4*z**2 - 2*z).\nAnswer: 76*z**5 - 16*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**3 - 43 + 3 + 30 + 16 - 412*q in the form m + k*q + p*q**3 + a*q**2 and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-8)*z*z**7)\/(z**(-1))**(2\/65) assuming z is positive.\nAnswer: z**(67\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -26*y**2 - 44*y - 24. Let n(u) = 9*u**2 + 15*u + 8. Let i(a) = 17*n(a) + 6*q(a). Let d(g) = 3*g**2 + 8*g + 7. Determine -7*d(m) - 6*i(m).\nAnswer: -3*m**2 - 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 24 = 21. What is the second smallest value in n, 7, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmmmummu. Give prob of picking 1 u and 2 m.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.14 times -0.109\nAnswer: 0.01526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 9 = -4*o + 35, -31 = -5*o + 2*c. Suppose 8 = i - o*k, -6*k = 3*i - 3*k + 12. What is the units digit of (-40 - 4 - -1)*i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 6*u**2 + 5*u - 9. Suppose 4*o + 8 = -5*g + 30, -20 = -4*g - 2*o. Determine w(g).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -2439299?\nAnswer: 2439298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 90489?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 0*i = 2*s - 4, 0 = 2*i + 2*s for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d**2 - d - 9. Suppose -2*a - 3 = -15. Let u be k(a). Let t be (-1 - u) + (9 - 7). Calculate the greatest common factor of t and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 15 + 38*u + 2*u**2 + 5*u - 27*u. Let p be s(-10). Let q = -9 - -20. What is the greatest common factor of q and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 339.9897 tonnes to micrograms.\nAnswer: 339989700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h - 3*h + 6*h)*(-1 - 2*h + 1) + h**2 + 1 - 1 + (2 + h - 2)*(2 - h - 2) - 2*h - 4*h**2 + 2*h + (h**2 - 4*h**2 + 2*h**2)*(-3 - 1 + 0).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in -0.17, -0.01, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*o + 1. Which is the second smallest value? (a) 0.1 (b) 5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 195710 to the nearest 1000.\nAnswer: 196000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -60773092*m**3*w + 25*m**2*w - 34*m**2 + 2*m*w - 12*m + 3 wrt m?\nAnswer: -364638552*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4\/7 (b) -0.23 (c) -2 (d) -4480\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10181539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*v = 101*v + 11 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1282 or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z - 8. Let u be c(-13). What is the biggest value in 1, -0.2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2168671 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 - 20. Suppose -k + 41 = -31. Suppose k + 13 = t*b. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sggx when four letters picked without replacement from xsuugsuuuxsgsuuu.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 11210102002220000?\nAnswer: -11210102002220002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 13*x**2 - 100*x - 9. Suppose a = 66 + 6. Calculate the smallest common multiple of z(9) and a.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = t + 21, -4*x = -5*t - 16 - 9 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1258, -2506, -3766, -5044, -6346, -7678?\n\"Answer: -t**3 - 1241*t - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 719 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 654 times -1\nAnswer: -654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -59.3 times 0.09411\nAnswer: -5.580723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(243) + (-1 + sqrt(243) + 1)**2) + (sqrt(6) + sqrt(864)*-1)\/(sqrt(6)\/sqrt(3)*-6).\nAnswer: 227*sqrt(3)\/6 + 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + (-1 + (-889)\/(-888) - 0). Let l = h - -7097\/6216. Find z, given that -l + 2*z**2 + 16\/7*z - 10\/7*z**3 = 0.\nAnswer: -1, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from {a: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 57001232?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -0.08. Let j = p - 0.09. What is j rounded to three dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4920, -2, 37?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 + 4*r. Let n = 15 + -11. Suppose -3*y + 3 = 4*p, -n*y - 3*p - p = 0. What is d(y)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/5 (b) 1\/2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 5) to base 8.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 4291?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c - 8. Let j be l(4). Suppose -2*x - 5*z - 2 = j, -3*z + 14 = x - 8*z. Solve -2*q + 10 = x for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8260801 is divided by 1323?\nAnswer: 1312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 400915889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*f + 5*s = 2*s + 23, 0*s + 17 = -2*f + 2*s + 15 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5746?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 - 31. Let h = 0 + o. Which is the closest to h? (a) 4 (b) 3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 882839, 882842, 882845, 882848, 882851?\nAnswer: 882854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 72\/11 or 4645\/352?\nAnswer: 72\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 5:25 PM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*k + 8 = -14*k. Suppose v - 410 = -k*n + 100, 0 = 2*n + 8. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, 0.5, 0.2, 3\/4, -0.3 in descending order.\nAnswer: 3\/4, 0.5, 0.2, -0.3, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 283500 is divided by 213.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.419 + -1.509. Let v be (3\/16)\/(6\/4). What is the nearest to 0 in v, q, 6\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-30)*-3*(-3)\/(-6).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15484 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: Convert -100265 (base 7) to base 16.\nAnswer: -4238","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -158*o. Let c(l) = -21*l + 6. Let a(r) = -156*r + 44. Let t(d) = -6*a(d) + 44*c(d). Give q(t(y)).\nAnswer: -1896*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 10:48 AM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1223 + -1223. Let i be (-6)\/(-5)*(-50)\/(-3). Suppose -36 + 8 = -3*h - 4*t, m = -5*t + i. Put -11, -5, h in descending order.\nAnswer: h, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-11)\/(-77))\/(8\/(-563164))*-2?\nAnswer: 20113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 790685861 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p - p**2 - 6*p**2 + 6*p**2 - 4*p**2.\nAnswer: -5*p**2 + 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -1. Let a(r) = -r**2. Let s be a(0). Let n(b) = b. Let x be n(5). Suppose 5*w = -s*w + x. Let p(q) = -q - 3. Calculate w*p(f) - 5*h(f).\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 12*y**2 + 12*y + 14. Let z = -41 + 54. Let w be a(z). What is the smallest value in -0.2, w, -0.1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/7, 0.3, 1, 8, -2\/5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 4*k - j - 31, 3*k = -2*j + 51. Suppose 5*r = 2*r - 2*z + 78, -r = -3*z - k. Solve r = -i + 22 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21 and 93.\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 7*s**2 - s - 25. Suppose -9*g + 16 - 70 = 0. Is 13 a factor of y(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3422 and 10?\nAnswer: 17110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of f**7\/420 - f**5\/120 + f**3\/3 - 2. Let g(t) be the third derivative of s(t). What is the second derivative of g(d) wrt d?\nAnswer: 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of s**7\/3150 - 2*s**5\/75 + 5*s**4\/4 - 5*s. Let a(x) be the third derivative of t(x). Factor a(c).\nAnswer: 4*(c - 2)*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 25 (c) -2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -692081148 less than or equal to -692081150?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 5*n + 1661986, 2*n = -74*a + 77*a - 2493055. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -1, 1, 4.295, -3\/7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of 5*f**3\/3 + 9. Let s(h) = 0*h + h + 0*h + 0*h. Calculate s(b(m)).\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 131 = 5*x. Calculate the remainder when (-1364)\/(-6) + (18 - (-735)\/(-45)) is divided by x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 3 (c) -7 (d) 85 (e) 3\/8 (f) 18 (g) -1.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + 1)\/(2\/(108\/45)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156 = 20*g - 331 + 147 for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -10, 3*u - 2*u - 3 = 5*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -15 - (-115 - (-65 + 3))\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-7)\/r*r)\/(((r\/((r**11*r*r)\/r))\/r)\/r*r) assuming r is positive.\nAnswer: r**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 3) in base 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7124 is divided by 3560.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28 + (-1932)\/(-84))\/(2\/(-6)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 4*v**2. Let j(f) = -3*f + 3*f - 5*f**2. Determine o(j(i)).\nAnswer: 100*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6333*c*i**2 + 15*c*i + 14*c + 6*i wrt i?\nAnswer: 12666*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1446, -1480, -1454, -1338, -1102, -716, -150, 626?\nAnswer: 1642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9\/4 or -94?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06261237624 to three dps.\nAnswer: 0.063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19459?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3716 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, s: 9, l: 8}. What is prob of picking 1 l, 1 x, and 1 s?\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -99.256 from 33.3.\nAnswer: 132.556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -35. Suppose 2*k + 0*k - p = 0. What is the tens digit of k\/((-21)\/8 + 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 3*s = -9, -2*s = 4*w - 19 + 3 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + v = w - 173, -5*w + 3*v = -291. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4*n = -4*g - 63, 0 = g - n + 28. Let j = g + 26. Suppose -2*o + 3*v = j, 3*v - 7 = -3*o + 14. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/11793 and -73\/12.\nAnswer: 47172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h + 2. Let q be 2 + -3 + 1 + 2. Let w = -8 - q. Let u be 1\/w*4*-10. Determine x(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2809681*p**3 - 2 - 67*p**2 - 20*p**2 - 2809900*p**3 wrt p.\nAnswer: -1314","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1626\/1309 - -12318589\/52360. Let b = r + -1137\/5. Calculate the common denominator of 101\/64 and b.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-120987)\/(-45)*-1*(-55)\/3.\nAnswer: 11, 4481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**3 + 16*f**2 - 10. Calculate n(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 79*i + 1. Let n(w) = w. Determine -2*c(l) + 14*n(l).\nAnswer: -144*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100414 is divided by 61.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 1430?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 4306*u - 3250. Let d(y) = -2151*y + 1626. Let g(b) = -7*d(b) - 3*q(b). What is the derivative of g(o) wrt o?\nAnswer: 2139","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -370680, -370676, -370662, -370632, -370580?\nAnswer: -370500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 5*k - 178. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {b: 2, r: 7, q: 1}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 0.7. Let b = 0.2 - 0.38. Let m = -1.18 - b. What is the closest to m in o, 0.4, -0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 35096 = 4*y, 13*y - 4*x = 17*y - 35120. What is the thousands digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.15 - -0.25. Sort 5, y, -6.\nAnswer: -6, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25 and 9255.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -3. Suppose i*c - 3*k - 16 = -5*k, 0 = 3*c - k - 19. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 24*p**2 + 124*p - 29. Let j be h(-8). Let s(c) = 9*c**2 + c. Determine s(j).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -8. Let p be d\/(-15) + 426\/9. Let t = p + -17. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 + -0.7. Let s = 3 - u. Let c = 0.6 + -1. What is the third smallest value in c, 0.5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24\/5*x**2 + 0*x + 18\/5*x**3 + 0 - 3\/5*x**4.\nAnswer: -3*x**2*(x - 4)*(x - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 102 + -1333323020?\nAnswer: -1333322312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (11*18\/(-396))\/(3\/(-3))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/595*(-89 - -96 - 42\/9)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d**3 + 12*d**2 + 21*d - 149. Determine h(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -223211230333 - -21?\nAnswer: -223211230312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*a**5 - 5*a**5 - 2*a**5 + (a**4 - 2*a**4 + 0*a**4)*(1 + 2*a - 1) - a**2 - 9*a**5 + 13*a**4 + 11*a**5 + 0*a**2.\nAnswer: -2*a**5 + 13*a**4 - a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 82, 249, 522, 907, 1410?\n\"Answer: f**3 + 47*f**2 + 19*f + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 92199, 184398, 276597, 368796, 460995, 553194?\n\"Answer: 92199*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 4*s = -8, -2*s = 3*c - 7*s - 12. Suppose 31 = 5*b - c*t, 9*t + 9 = 2*b + 4*t. Differentiate 9*q - 2*q - 14 + 2*q**3 - b*q with respect to q.\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of p**4\/4 - 2*p**3\/3 + p**2\/2 - p - 19. Let g be f(2). What is the hundreds digit of 6\/24 - (543\/(-4) - g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*s + 50 - 50 + 5*s + 12*s - s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of i**6\/360 + i**3\/3 + 63*i**2 - 94. Let l(t) be the third derivative of f(t). Let r(o) = 66*o**2 + 2. Give l(r(c)).\nAnswer: 4356*c**4 + 264*c**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 116 + 3366\/(-935)*(5 - 0\/5).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*g**6 - 3*g**2 + 29*g**6 + 16*g**2 wrt g?\nAnswer: 1560*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11143, -34256, -57365, -80470?\nAnswer: -103571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.14477 - 15299.\nAnswer: -15297.85523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12\/53 - -238\/583. Factor -8\/11 + k*t**2 + 6\/11*t.\nAnswer: 2*(t - 1)*(t + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/15 and -65\/78759?\nAnswer: 393795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 130, 134, 148, 178, 230, 310, 424?\nAnswer: 578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -433\/7 - -62. Suppose 5 - 1 = -4*i, -2*j - 2*i + 18 = 0. Suppose -4*c + 30 = -j*c. What is the nearest to 0 in c, m, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*i + 4092 = -230*i - 29*i for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -505606576 divided by -12592.\nAnswer: 40153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 378 + -373. Solve 4*t + 9 = 3*t + 4*y, 10 = -t + m*y for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101100112120021 + 21?\nAnswer: -101100112120000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 38395531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 8:31 AM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a microsecond in nanoseconds?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i**3 - 4*i**3 + 3 - i - 2*i**2 + 5*i**3. Let x be z(0). What is the second derivative of -184 + x*u - u**5 + 184 wrt u?\nAnswer: -20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66, -276, -472, -648, -798, -916, -996, -1032?\nAnswer: -1018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3203.5 - -3203. Let r = -1 + 0.98. Let x = r - -2.02. Which is the nearest to 0? (a) -4 (b) x (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.933 + 0.067. Let t = 335\/236 + -10\/59. Which is the nearest to x? (a) 0.5 (b) -0.1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3679.8 - 3680. What is the nearest to v in -1, -20\/9, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + 45*a**2 + 226*a - 48. Is 63 a factor of z(39)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b - 14*b = -2*k + 5, 4*b + 12 = 0. Is 7605 - (9 + -5 - (k + 2)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 575352600?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (68\/(-1224))\/(26\/(-90) - ((-11)\/9 + 1)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -1. Let j(p) = p + 6. Let i(m) = -6*g(m) - j(m). Let z be i(5). Let s be (-15)\/z*(-10)\/(-6). Solve v = -s*o - 7, 5*v + 8 = 4*o + 31 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 2*r - 9, r + 15 = 3*s - r. Sort s, -0.1, -4.\nAnswer: -4, -0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3026.994 + -2987.9. Let m = n + -0.094. Let z = m - 39. Which is smaller: z or 4\/13?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 131290651?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - 4*u**2 + 2*u + 2. Let j be i(-4). Let o be (-8)\/12 - 16\/j. Let v(x) = -3*x**2 - o*x - 4*x**2 + 6*x**2. Give v(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.7 + 0.2. Let n be (-166)\/140 - (-6)\/21. Let h = n - -17\/5. What is the smallest value in h, r, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 15, w: 4}. Give prob of sequence wt.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 37 + 9 = 0. Is x a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24c (base 14) to base 7\nAnswer: -1225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2*p - 2)*(-2 + 2 + 2*p) + (-2*p - p - p)*(0*p + 2*p - p) in the form s + z*p + m*p**2 and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0 (b) -2\/7 (c) -1 (d) -4552\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (72\/880 + 2\/20)*-1\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*m = 36*m + 29*m - 212760. List the prime factors of m.\nAnswer: 2, 3, 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -6*l - 6. Let j(f) be the third derivative of 0*f - 7\/6*f**3 - 7\/24*f**4 - 6*f**2 - 2. Determine 6*h(o) - 5*j(o).\nAnswer: -o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 22\/51541 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 10:25 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 116, 226, 338, 452?\n\"Answer: p**2 + 107*p + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**6\/s**(2\/93) assuming s is positive.\nAnswer: s**(556\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (((-3640)\/(-50))\/14)\/(4\/5)\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - -2 - 4) + -2 + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0\/(-2))\/(-1))\/((77 + -272)\/(-65)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 47. Let d(m) = 4*m + t*m**2 - 29*m**2 - 3 - 5*m + m**3. Let h be 52\/12 + -4 + 28\/(-3). Give d(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3432686 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 79\/9424 + -5\/304. Let w = -144047 - -89309517\/620. Let m = w + l. What is the third biggest value in 5, m, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from itjcjtjjjijtjx.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011 - 110010010001010100?\nAnswer: -110010010001110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(750)\/sqrt(10))**2 + (sqrt(27) + -2)**2.\nAnswer: -12*sqrt(3) + 106","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-3 - ((-60)\/8 - -3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 + 16*n - 15. Let j be c(-16). Suppose f = 7 + 17. Calculate the remainder when f is divided by (-183)\/j + (-5)\/((-25)\/4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 125 + -121. Solve 5*z - 6 = -o*k + 4*z, -3 = 3*k - 3*z for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3*w = 0. Suppose 5*f - 69 - 66 = w. What is the highest common factor of f and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4104.762 months in years?\nAnswer: 342.0635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -12*p - 438. Calculate i(16).\nAnswer: -630","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/16*8 - (-28)\/(-5). What is the second smallest value in -0.3, 6, y, 2\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2*r = 803, -7*r - 565 + 3657 = 4*b. Calculate the remainder when b is divided by 214.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o*o\/(o*(o\/(o**(-8\/3)*o)*o)\/o))\/o)\/o)\/(o*o**(-2\/11))*o\/(o*o*o\/(o**(-1\/8)\/o))*o**(-5)*o)**(20\/3) assuming o is positive.\nAnswer: o**(-15325\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kfjj when four letters picked without replacement from {k: 6, c: 1, f: 5, j: 6}?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/7))**(5\/2)\/(d\/(d**(-2\/7)\/d))**(-43)*(d\/(d\/d**(-6\/7)*d)*d*(d\/d**(1\/15))\/d)**(-3\/31) assuming d is positive.\nAnswer: d**(107512\/1085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 150025 - -22?\nAnswer: 150050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 12 = 0, 4*q + q + 4*a - 26 = 0. Suppose 2*o = -2*s + 52, -o + 24 = q*s - 6*o. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-7 - -2)) + -6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2722*z**2. Let b(i) = -2*i**2. What is f(b(k))?\nAnswer: 10888*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4535278 divided by -5\nAnswer: -4535278\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4740607557*c - 93*c**2 - 4740607557*c - 572*c**2.\nAnswer: -665*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 308\/21*(1 - -2). Suppose -3*q + q + b = 0. Let i(m) = m**3 - 7*m**2 + 3*m + 1. Let v be i(7). What is the greatest common divisor of v and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9696 divided by 16.\nAnswer: -606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, t: 2, a: 1}. Give prob of sequence tc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12*((-15)\/6)\/(-5). Let q = 2 - i. Let j(t) = -2*t + 3. Let r(c) = -1. Calculate q*r(n) - j(n).\nAnswer: 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2559411 and -5.\nAnswer: 12797055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s - 525 + 178 - s + 2*s.\nAnswer: 5*s - 347","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3688 - 3482*j + 3483*j + 8466 - 1559.\nAnswer: j + 10595","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by 34?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -43*l - 975 + 373 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 446*c - 1338*c + 18*c**3 + 447*c + 445*c.\nAnswer: 18*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 68 and 47702.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of o**8\/20160 - o**7\/1890 + o**6\/720 - o**4\/12 + 7*o. Let n(f) be the third derivative of k(f). Factor n(x).\nAnswer: x*(x - 3)*(x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 24 = -2*n - 0, 3 = 5*n - 2*d for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -4*d - 24. Let w be d*(-2)\/(-4)*3. What is the greatest common factor of 18 and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 608778 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/4 and -103\/18440?\nAnswer: 18440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36 + -35. Which is bigger: s or 3\/31?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34364 + -34364.08. What is the closest to -1\/2 in -2\/9, 2\/7, h?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 9:13 AM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1719?\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 310776073 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-196)\/(-32) - 2\/16. Solve 2 - s = a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1730 + 2400. What is the least common multiple of g and 20?\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 125, 255, 385?\n\"Answer: 130*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h**2*n**2 - 99508*h**2 + 4180*h*n**2 - h + 50*n**2 wrt n.\nAnswer: 2*h**2*n + 8360*h*n + 100*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 228 = 44. Suppose l = 4*t + 36. Is t a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_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: Let p be (-6)\/(-4) - 13\/(-26). Suppose -3*f + p*f = -8*f. Solve 15 = -f*d - d - 2*j, 2*j = 5*d + 15 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2678787?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 21. Let p be -1 - (9\/(i\/(-160)) + -2). Let k = -60 - p. What are the prime factors of k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 27? (a) -0.3 (b) -3\/28 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(8\/5)*u\/((u*u\/u**(-5\/3))\/u))\/(u**(-8)\/u**6) assuming u is positive.\nAnswer: u**(209\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/162 + -331\/1134. Which is the nearest to 0? (a) f (b) 0.4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 PM and 12:50 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 63878 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*a - 150 with respect to a.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + -9. Let b(l) = -l. Let m(k) = 15 + 18 - k - 33. Let h(j) = g*m(j) - 7*b(j). Let o(q) = -q**2. Give h(o(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -367*a + 1927. Calculate the remainder when 735 is divided by h(5).\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 - 33. Let c be 24\/z*(-15)\/10. Is (-3508)\/(-3) - c\/12 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3138 + 3.\nAnswer: -3135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 67320951 to the nearest integer?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -2*t - 8. Suppose w + t*n = -12, 0 = n - 0*n + 1. Let v be (-62)\/6*24\/56 - -4. Which is the third biggest value? (a) w (b) 1\/3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43 - 43.042. Let r = -0.648 - -0.69. Let n = r + v. What is the nearest to -2 in 2, n, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*a**4 - 122*a**2 + 83.\nAnswer: -20*a**3 - 244*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from njjfnfffnjnffnff. What is prob of sequence ff?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2447657 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 + 3*o**2 - 7*o - 20. Determine t(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 i, 1 a, and 1 f when four letters picked without replacement from fakbjkkbfiki?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 175 = -5*a. Let b be 49\/a - 1*-1. What is the second biggest value in -1, 3\/8, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/30*(5 - 3).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_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: What comes next: -544832, -1089617, -1634388, -2179139, -2723864?\nAnswer: -3268557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 299 divide 37375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -169 in -0.7, -3, -1, 16\/19?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 4, 21, 56, 115?\nAnswer: 204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61952791?\nAnswer: 61952791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -4*o + 4, -5*o - 2*z = 7 - 30. Let s be (-2)\/(-9)*(o - 5). Let v = 3 - 2.8. What is the closest to 1\/6 in v, s, 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 13\/26*-180*(-1)\/(3\/584)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 131, 541, 1225, 2183?\nAnswer: 3415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -5*r + 330, -7*c + 3*c - 2*r = -324. Let s(o) = -o**2 - 7*o - 2. Let t be s(-6). Suppose c = -0*g + t*g. Solve g = 4*b - 9*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 1848.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.098255418 rounded to 2 decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.452 + 3.4. Let g = -0.01 - d. Round g to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y**5 - 36*y**4 - 147*y**3 - 198*y**2 + 96*y + 288 = 0.\nAnswer: -4, -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -74*s**2. Let y(d) = 6043 - 3024 + 11*d - 3019. Give y(g(a)).\nAnswer: -814*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 143 - 2?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.019 rounded to 0 dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -j**5 - j**4 + 491*j**3 - 3887*j**2 + 6310*j - 2912 = 0.\nAnswer: -26, 1, 7, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -559 = -17*x - 559 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 1:00 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 68\/(-3) - 30\/(-20) and -137\/96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -3 - (-3 + 0 + 8).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -0.2 (b) 104 (c) 126 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -dac2 - c?\nAnswer: -dad0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 217553\/5 at least 43510?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2. Let k = 27 - 22. Let j be (1 + (10\/(-4))\/k)*20. Let d(v) = 30*v**2 - 16*v**2 - j*v**2. Determine i(d(t)).\nAnswer: -16*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of -2*s**2 - 29*s - 16. Let h be f(-8). Suppose 0 = 10*n - h*n - 168. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 0*s = -6. What is the units digit of s + -1*4\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 10:17 AM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-70)\/6 + 26\/(-78)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 325692756 divided by 54282126\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8\/21 of a week?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -344\/2759 or 1?\nAnswer: -344\/2759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 22*q**2 + q + 24. Let a be p(-22). Let x(j) = 31*j**2 + 2*j + 1 - 63*j**a + 33*j**2 + 3*j. Let s be (2\/4)\/((-1)\/10). Determine x(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*i**5\/3 - 968*i**4\/3 + 10115*i**3\/3 - 13354*i**2\/3 - 8144*i = 0. What is i?\nAnswer: -1018\/5, -1, 0, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 + 14*d + 4. Let c be b(-14). Let o be -2 - ((-1)\/1 - 12). Suppose 2 = 3*w + o. Put 1, c, w in decreasing order.\nAnswer: c, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89938650 is divided by 49444.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 - -23. Let j(g) = g**2 - 2 + 4 + m. What is the least common multiple of j(0) and 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*w - 38*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4424527*t - 4424527*t + 24*t**2.\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -8 + 5. Suppose -l - b*l = -28. Suppose -8*a = -l*a - 67. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14*t - 9*t - t)*(-487 + 229*t + 244 + 241 - 30*t) as r*t**2 + o + q*t and give r.\nAnswer: -4776","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 29632 to the power of 1\/2, to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 5*z - 12, -3*x - 9 = -2*z - 0*z. Suppose -3*w - w - 12 = z, 5*v - 166 = -3*w. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4914 and 40446.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186*f = -184*f - 8. Let k(a) be the first derivative of a + 0*a**3 - 3 - 1\/4*a**f + 0*a**2. What is the first derivative of k(n) wrt n?\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 4. Let m be -2 + 5 + (2 - 3). Let c be 12\/(-9)*(-6)\/4. Solve c*d - m = n*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -212 - -177.4. What is q rounded to the nearest integer?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 1 + -35 + 28?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-5)\/(-2))\/((3\/3)\/2). Let u be ((-5)\/(-3))\/(k\/6). Solve -5*w = -u*b - b + 28, -4*w = -4*b + 24 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 17 = 4*d, -5*d = -3*k + 3831 - 3808 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-2))\/((-7)\/196). What is the second derivative of u*x**2 + x**4 - 28*x**2 - 5*x wrt x?\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 66977 - 3*m**2 + 2*m + 2*m**2 - 66975 + 4*m**2 - 2*m**2 - m**2 + (2*m - 5*m + 2*m)*(4 - 4 - 2*m).\nAnswer: 2*m**2 + 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -9*x + 3*x**2 - 9*x**2 - 4*x**2 + 0 - x**3 + 2. Let o be m(-9). Let -8\/7*p**5 + 16\/7*p**3 - 2\/7*p**4 - 2\/7 + 4\/7*p**o - 8\/7*p = 0. Calculate p.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0064 + -2.3164. Let q = j - 3.69. Put q, -0.4, -4 in descending order.\nAnswer: -0.4, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1365191629?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12240, 24702, 37396, 50322, 63480?\nAnswer: 76870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 4 + 2 + sqrt(288) + 0 + (-1 + sqrt(288))*-5 + 2.\nAnswer: -48*sqrt(2) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c + c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 250446 divided by 534.\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1967 divided by 722.\nAnswer: 1967\/722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15)\/(-2) + (-1)\/(-2). Let t be (9\/12)\/((-2)\/x). Let z = 0.03 - 0.13. Which is the closest to z? (a) 0.3 (b) 0.2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -351 divided by 3.\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2524786408?\nAnswer: 2, 179, 541, 3259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 57*w**2 - 12*w + 80. Let a(d) = -13*d**2 + 3*d - 20. Determine 9*a(t) + 2*n(t).\nAnswer: -3*t**2 + 3*t - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72)\/(sqrt(2) + (sqrt(2) - (sqrt(8) + sqrt(2) + sqrt(2)))) - sqrt(36))\/sqrt(3) + sqrt(3072)*-1)**2.\nAnswer: 3675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/5 of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 431*v + 4314. Let i be l(-10). Solve 3*w - 4*t = 0, 0*w - 4*t = -i*w + 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.37 - 6.97. Let s = -6 - r. What is the closest to -1 in -4\/5, -12, s?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 0 + 0)*(-6 + 3 + 2) - 1 + 2 + 1)*(0*g - 2*g**3 + 0*g) + 4*g**3 - 5*g**3 + 3*g**3.\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 90\/143033 in -2, 1\/3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**2 + 399528*o - 19952827848 = 0. What is o?\nAnswer: 99882","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5162903 + 23446677.\nAnswer: 28609580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.53 - 0.567. Let i = -0.191 - t. Let y = i - -0.1125. Round y to three dps.\nAnswer: -0.042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 354184888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3509844251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11\/6 - -89\/42. Suppose -2*b = 2*z - 16, 8 = b + 3*z - z. Which is smaller: n or b?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 5*a = -91, 5*x + 4*a + 216 = 3*a. Let h = x - -48. Solve 3*y + 12 = 4*r, h*y + 0*y = -r - 20 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (48\/18 + -3)*(9 + -6). Let x be 4*(56\/32 + b). Solve 11 = z - 4*d - x, -4*z - 2*d = 16 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16021.922 rounded to 0 decimal places?\nAnswer: -16022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127213 is divided by 39942?\nAnswer: 7387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -192*q - 2. Let c(m) = 1058*m. Determine c(p(b)).\nAnswer: -203136*b - 2116","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -1759*d**2\/2 - 347. Let b(i) = -4*i. What is h(b(a))?\nAnswer: 7036*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 9420.\nAnswer: 9420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 - 9. Let c = o - 2. Calculate the remainder when 6 + 2 + 14 + -6 is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((380\/(-57))\/20)\/(8\/10*62\/496).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 476, 514, 600, 758, 1012?\nAnswer: 1386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of -5*k**9\/3024 - k**5\/40 + k**3 + 5. Let o(y) be the third derivative of i(y). Find the second derivative of o(h) wrt h.\nAnswer: -100*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2375*r**2. Let t(w) = -21*w + 5. Calculate t(d(n)).\nAnswer: 49875*n**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -l + b, 2*b - 9 = 1. Let c(x) = -x**3 - 3*x**2 - 5*x - 9. Let o be c(l). Solve a - 4*a - 4*t - o = 0, 11 = -4*a + 3*t for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2*f = -66, 2*f - 51 = 4*h + 1. What is the units digit of h\/21 - 10\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -9*s**5\/10 + 5*s**3 - 13*s. What is the second derivative of i(w) wrt w?\nAnswer: -108*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, -1836, 26100, -4 in ascending order.\nAnswer: -1836, -4, -1, 0, 26100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nninnniinniiiiiinni. What is prob of sequence nini?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - -9) + (-25)\/(-7).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.4, -0.5, 0.02, 7.69 in decreasing order.\nAnswer: 7.69, 0.4, 0.02, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -93 - -122. Suppose 3*p - 7*p = n - 38, -n = -2. Let a = p + u. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (45\/12)\/((-12)\/(-80)). Is 27 a factor of (y + -9)\/(96\/(-52) - -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5b + e?\nAnswer: 6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931)*5 + sqrt(19) + (sqrt(19) - (sqrt(304) + -3)))**2 + 1 + 5.\nAnswer: 198*sqrt(19) + 20706","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8793877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111854?\nAnswer: 2, 55927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 8 = -i. Let n be (-2)\/(-5) + i\/(-5). Suppose 0 = -5*m + 3*d + 28, n = -m - m - 2*d + 24. What is the greatest common divisor of 16 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 328347 + -190784. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 5*x**2 - 5*x + 4. Let g(i) = i**2 + 10*i + 20. Let z be g(-6). Let o(c) = -c**3 + 4*c**2 - 4*c + 3. What is z*f(n) + 5*o(n)?\nAnswer: -n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/(-8))\/((-3)\/20). Let q = 118.8 - 119. Which is the second biggest value? (a) q (b) -2\/73 (c) -4 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 58, -298, -3 in increasing order.\nAnswer: -298, -3, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5112 - -5111.957272. Let f = a + -0.0362886. Let o = -0.079 - f. Round o to 6 decimal places.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*z**3 - 10*z**3 + 14*z**3 + (2 - 2 - 2)*(6 - 6 - 6*z)*(4 - 4 + 3*z**2).\nAnswer: 60*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 380 and 228?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**3 + 2*i**2 - 2*i**2 + (1 - 1 - 2*i**2)*(3*i - 5*i + 0*i) + 2*i**3 + 2*i**3 - 2*i**3 + 5*i**3 + 0*i**3 - 3*i**3 + 13 - 13 + 29*i**3.\nAnswer: 35*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15825458 plus 58.05733?\nAnswer: 57.89907542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 5. Solve 2 = -l*m + 3*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.28 + 0.37. Let z = 0.39 - g. Which is the nearest to -1? (a) z (b) -4 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 70555002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - 10*w - 11. Let f(i) = -i**2 - 10*i - 11. Let z(s) = -3*f(s) + 2*t(s). Let m = 662 + -670. What is z(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 9:41 AM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 174 = 82. Let t = k - 64. Is -6\/5 greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -9 + 41. Let i(b) = b**3 - 8*b**2 - 2*b + 8. What is i(l)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 + -9. Calculate the least common multiple of 8 and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/16 of a gram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -859, -863, -867, -871, -875, -879?\nAnswer: -883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 49130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 11:27 AM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 687663 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 5 + (sqrt(57) - sqrt(2793))\/sqrt(3) + sqrt(19))**2.\nAnswer: -60*sqrt(19) + 511","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*p**2 - 3*p**2 + 5*p**2)*(-3*p + p + 0*p) + (-7276 + 128*p + 7276)*(3*p**2 + p**2 - 2*p**2) to b*p**2 + s + g*p + h*p**3 and give h.\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 1 + -8 - (-25)\/15?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -333940*r**3 - 1436*r**2 - 889402342.\nAnswer: -1001820*r**2 - 2872*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 1845?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h + 10. Let d be a(10). Suppose d = -0*l - 4*l + 488. What are the prime factors of l?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3*f + 6. Let q be (-5 + 9 - 0)\/((-6)\/12). Let i(d) be the third derivative of 0 + 0*d - 2\/3*d**3 + 3*d**2 - 1\/12*d**4. What is q*i(u) - 5*m(u)?\nAnswer: u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 k when two letters picked without replacement from ktktktb?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-42)\/(-9) - (4 - 0))*3. Differentiate -959*z**2 + 536*z**2 - 69 + 490*z**c with respect to z.\nAnswer: 134*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 257 - -330. Let g = 587.2 - f. What is the nearest to -0.2 in -0.3, -2, g?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 759 + -297. Does 42 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4312 and 442372.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/92 and -107\/10.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -1) + -7 + 10 + -5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*o - 7737 + 11076 = 0 for o.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -56*a**2 - 32. Let b = 421 + -424. Let x(o) = 5*o**2 + 3. Calculate b*i(s) - 32*x(s).\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*u = 39 - 39 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -245, -404, -675, -1064, -1577, -2220?\nAnswer: -2999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/2*(1 - 0)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k\/k**16)*k*k**17)\/(k\/(k**7\/k))**(5\/14) assuming k is positive.\nAnswer: k**(515\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3323 - 10?\nAnswer: 3313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) 0.07 (c) 2.28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7668 and 72.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -780 * -0.00747\nAnswer: 5.8266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 9:07 PM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -463*h**6 + 30*h**2 wrt h?\nAnswer: -55560*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4535 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -625*m**3\/3 - 375*m**2 - 225*m - 45 = 0. What is m?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5211*k**3 + 19*k**2 + 57*k + 456551584 with respect to k.\nAnswer: 15633*k**2 + 38*k + 57","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 229601 to the nearest integer?\nAnswer: 479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - -9.56. Let o = k + -0.06. Put o, 4, 1\/6 in ascending order.\nAnswer: o, 1\/6, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*16.097\nAnswer: -80.485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (95*(-180)\/4560)\/((-10)\/(-2))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 353 - -9?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30405*g - 1575 = 30720*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 6. Let l(g) = -g**3 + g**2 + g - 1. Let x(d) = -2*d**3 + 6*d**2 + 3*d - 8. Let a(p) = r*l(p) + x(p). Determine a(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 17 - -1) + (-8 - -4) + 7\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/36 and -59\/20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4900 and 162183472747.\nAnswer: 162183467847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 618852.\nAnswer: 2, 3, 13, 3967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5121860 is divided by 1707280.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1366*n**2*y**2 - 4*n**2*y - 5*n*r - 5*r*y**2 - 37*r - y wrt y?\nAnswer: 2732*n**2 - 10*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of -3*x**5\/20 + 5*x**4\/12 + x**3\/6 - 2*x**2 + x. Let r = 0 + -3. Is j(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**2 - i**2 + 3*i**3 + (-2*i**2 + 2*i**2 + 2*i**2)*(0*i + i + 0*i) - 4*i**3 - 6*i**3 + 2*i**3.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 115 = 5*v, 0 = 5*k - 3*k + v - 61. Let b = k + -34. Let y = -470\/3 - -154. Does b = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -21*f + 25*f - 31598, 0 = 4*a + 8. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -190119, -191076, -192033?\n\"Answer: -957*h - 189162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**2 + 1347*a - 15180 = 0 for a.\nAnswer: -460, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 2*f = -t - 368, -2*f + 372 = 5*t. Calculate the greatest common divisor of t and 814.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -88 divided by 22?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 6, b: 3, t: 6}. Give prob of picking 1 t, 1 p, and 1 b.\nAnswer: 108\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 6, 2*w + 10 = 3*f - 4*f. Is 13263\/w*26\/(-13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -6*(sqrt(7) + 4 + (sqrt(7) - (sqrt(7) + 2*sqrt(7))))**2.\nAnswer: -139 + 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*m - m - 2*m)*(2 + 2 - 3)*(-2*m + 2 - 2) + 2494 - 2494 - 90*m**2 + (-6*m + m + 2*m)*(0 + 0 - m) to the form t + w*m**2 + g*m and give w.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fifty-seven halves of a milligram?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -1 - 3*f**2 + 6*f**2 - 5*f**3 + 4*f**3 - 5*f**2 - 2*f. Let t be q(-2). Solve 5*i + 2*b + 10 = 0, i - 5*i = t*b + 15 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 3 + 0 = 0. Suppose x = 6*x. Suppose b + 3*p = x, 3*p - a = b + 7*p. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*t**2 + 41*t**2 + 49*t + 56*t**2 - 27*t**2 - 22*t**2 - 29*t**2 + 1.\nAnswer: -3*t**2 + 49*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -1 - (6 - 40 - -36).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 435168563 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -86 - -81.9. Let g = q - -7.1. What is the third smallest value in -0.5, g, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, t: 7}. Give prob of sequence ii.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19 + 18)*(2 - 6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 1, -3 in descending order.\nAnswer: 26, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62 - (1 + -4) - ((26 - 6) + -9).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 3, 5, -14, -1 in descending order.\nAnswer: 5, 3, -1, -3, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 78730, 77798, 76856, 75898, 74918, 73910, 72868, 71786?\n\"Answer: -d**3 + d**2 - 928*d + 79658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -o - 60, -w = -2*o + 14 - 41. What are the prime factors of w?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -125*q - 50*q - 5*q + 9180 for q.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 + 6*u + 4. Let h be j(6). Suppose -3*c + 5*o + 361 = -167, 669 = h*c + 5*o. Calculate the greatest common divisor of c and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 282073?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -160189 greater than or equal to -2402851\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 1708*k + 56 = 1704*k, 0 = 4*f + 6*k + 112 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1506, 55, 10, 0, -2 in decreasing order.\nAnswer: 1506, 55, 10, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 618954*v**3 - 197*v**2 + 295*v**4 - 618954*v**3 wrt v.\nAnswer: 7080*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of 1\/20*r**5 + 1\/4*r**4 - 1\/2*r**3 + 0*r + 0 + 6*r**2. Is j(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(22)\/sqrt(2) - (sqrt(176) + -1 + sqrt(176) - sqrt(176))**2.\nAnswer: -177 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -8*k**2 + 42*k - 53. Let u(i) = -7*i**2 + 34*i - 52. Let q(c) = -6*r(c) + 7*u(c). Determine q(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 9:22 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*(-10)\/20 + ((-30784)\/37)\/(-13).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -317214 by -158607.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2151 (base 7) to base 8\nAnswer: 1403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*l - 3*l + 30. Let y = l - -6. Which is the third biggest value? (a) 5 (b) 0.2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -50 + 35. Let q = f - -15.0012. Round q to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*v**2 - 18*v**2 - 15*v**2.\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -280832, -561661, -842488, -1123313, -1404136, -1684957, -1965776?\n\"Answer: k**2 - 280832*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3*z + 4. Let p(d) = -3*d - 3. Let u(g) = -g**3 + 12*g**2 - 11*g - 5. Let q be u(11). Determine q*p(y) - 4*h(y).\nAnswer: 3*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -15, -28, -49, -84, -139, -220, -333, -484?\n\"Answer: -n**3 + 2*n**2 - 12*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/1*(14\/(-3))\/(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 t when four letters picked without replacement from {t: 7, z: 9}.\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13885 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1722 + 6846 = 7*a. What is the tens digit of (-1)\/5 - (-4 + a\/(-20))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151*p - 149*p = -6, 2*r - 5*p = 8815. What is the hundreds digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 2*o**2 - 872*o - 2 - 3444*o + 0.\nAnswer: 2*o**2 - 4316*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 3*g + 8 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6742777 is divided by 1382.\nAnswer: 1381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 7*o + 1. Let z(u) = -3*u - 3 + 5 + 3*u - u. Let l(n) = -3*n + 3. Let j(r) = -3*l(r) + 5*z(r). Calculate -5*j(q) + 3*t(q).\nAnswer: q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2277329 to the nearest integer?\nAnswer: 1509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 821376b?\nAnswer: -8213771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 8*v**2 + 6*v - 2. Let a be w(-7). Suppose 0 = -5*c + 2122 + 2138. Suppose h = -a*h + c. Does 16 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/(-2))\/(4\/128). Let r = -20 - k. Let o be 6 - (-1)\/2*r. Solve -o*m = -m - 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 259*o**2 - 1399*o - 20855. Give f(-264).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003280581 to five dps.\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7\/((-7)\/4) + 46?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of c**8\/84 - 8*c**7\/105 + c**6\/30 + 2*c**5\/5 + 1297*c**2 - 1. Solve s(h) = 0.\nAnswer: -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 863.34 - 863.340037007. What is b rounded to seven dps?\nAnswer: -0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - -17. Suppose 3*i = 5*y - 178, -3*y + 2*i + 0*i + 107 = 0. Let h = -25 + y. What is the smallest common multiple of r and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73 - -85 - (10 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001182 to four dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9896\/3040 + 6\/(-57) and -5\/72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.6 less than 204?\nAnswer: 227.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 220\/14 - 6\/(-42)*2. Suppose 26*w = q*w + 80. Solve p + 4 = -r, 0*r - r - 2*p - w = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.03, -1\/4, 98?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(80) + (2*sqrt(80) - sqrt(80)))*-6)\/(sqrt(16)*-4 - sqrt(196)*2))**2.\nAnswer: 6480\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1074 and 8437881.\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 - 10*i + 9 - 3 + 7. Let j be t(9). Let f be j\/6 - 128\/(-6). Solve -5*k = 3*o - f, k + 15 = 4*k for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*c**2 + 16*c**2 - 12*c**2 - 8*c**2 + 19*c**2.\nAnswer: 28*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -5 + (sqrt(637))**2 - (sqrt(156) - -5*(sqrt(156) - (sqrt(156) + 3*sqrt(156))))\/sqrt(12).\nAnswer: 14*sqrt(13) + 627","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -55 + -7 - (-248 - -240)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r - 2. Let m(n) = -24 + 4*n + 10 + 23. What is -2*m(a) - 11*x(a)?\nAnswer: 3*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 0*a + 21 - 10 + 18 - 2*a. Let z be y(15). Let q(s) = 3*s**2 + s + 4. Let r(d) = 10*d**2 + 3*d + 11. Let w(n) = -11*q(n) + 4*r(n). Determine w(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.6 and 0.44255.\nAnswer: 2.04255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15876 + 55040\/3. Let i = -2494 + m. Calculate the common denominator of 31\/7 and i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + 1 + 2*z - 13*z**3 - z**2. Let u be h(-1). Solve u = 2*j - 5*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of -a**6\/120 + 2*a**5\/15 - a**4\/6 + 5*a**3\/6 - 4*a**2. Does 10 divide g(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.6 - 2. Let g = -221 - -223.14. Let k = 1.14 - g. Put 2\/3, y, k in ascending order.\nAnswer: k, y, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -7*y**4 - 1 + 5*y**3 + 7 - 2*y - 1. Let a(v) = 6*v**4 - 4*v**3 + 2*v - 4. Let z(u) = 5*a(u) + 4*r(u). What is the second derivative of z(i) wrt i?\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.46 (b) 4\/5 (c) 0.28054 (d) -4 (e) -0.3 (f) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*s**2 - 2*s**2 + 18209342*s - 18209342*s.\nAnswer: -24*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*v - 9*v - 9*v + 115*v.\nAnswer: 192*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/19 (b) 2 (c) 10 (d) 3147 (e) -14\/155\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a centimeter in millimeters?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 57818 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -872003.677089595 - -4\nAnswer: -871999.677089595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10967 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44.8*-0.3.\nAnswer: 13.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 36.65535 nanometers?\nAnswer: 0.00000000003665535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/((t\/(t**(-2\/5)*t))\/t)))**5\/(t**0\/t**(-7)))\/(t*t**(-2\/19)*t*t**(4\/5)*t**4*t\/((t\/t**8)\/t*t*t*t*t)) assuming t is positive.\nAnswer: t**(-2061\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -11*r. Let k(x) = 48418*x**2 + 4*x. Calculate k(o(i)).\nAnswer: 5858578*i**2 - 44*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 754 = 2*v + 756 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-14)*(-2)\/(-19))\/((-18)\/(-18))?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/((-21)\/(-502)) - 2. Let c = -8607517\/90398 + 24\/6457. Let g = a - c. Find the common denominator of -31\/20 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 215 - 25 - 71 - c**2 + 212.\nAnswer: -c**2 + 331","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 5*p**2 + 1646*p - 8196. Determine a(5).\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 10*r - 13*r = 133349997, -m - 26670005 = -5*r. Round m to the nearest 1000000.\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from frrdfffrflrflrrrlr. What is prob of sequence flrr?\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 359792 and 168752?\nAnswer: 3184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-3)*l)\/l*l)**18 assuming l is positive.\nAnswer: l**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of -3*c**5\/20 + c**4\/4 - c**3\/6 + c. Determine k(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 375.384 meters in nanometers?\nAnswer: 375384000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 102\/(-9) - (-2)\/(-3). Let o = v + 12. Let x = 13 + -11. Solve o*y - x*y = -8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.01 rounded to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -737*d**2 + 178*d**2 - 1937*d**2.\nAnswer: -2496*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 39, 47, 61, 87, 131, 199, 297?\n\"Answer: l**3 - 3*l**2 + 10*l + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.783 + -0.017. Which is the closest to s? (a) 2 (b) -1\/3 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/12 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**2 - 38*u**3 - 2*u**2 + 6*u**2.\nAnswer: -38*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8, -2\/9, 8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/11 and (-4)\/(-20) - (-42)\/(-249)?\nAnswer: 4565","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 17*f**2 - 8*f - 25. Let a be (0 + 24)*46\/69. What is the remainder when 204 is divided by l(a)?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14353197277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 430575083 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 675838474 and 94?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-7)\/(147\/30)*-7)\/(-2). Let b be 1 + -5 + (-1 - m) - -400. What is the highest common divisor of 16 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2, 42, 94, 154, 222?\n\"Answer: 4*t**2 + 32*t - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2595648 divided by -2112?\nAnswer: -1229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -306bcc + 0?\nAnswer: -306bcc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 847525398?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o - 84 = 516. What is the remainder when 515 is divided by o?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86362.\nAnswer: 2, 29, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + -1. Let t = s + 7\/3. Which is the second biggest value? (a) -0.3 (b) t (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 20*q**2 + 833*q - 1146. Calculate z(-43).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30818652 a multiple of 1031?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 321, 321, 297, 237, 129, -39, -279, -603?\nAnswer: -1023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*w = 20*w - 320. Suppose 6*s = 26*s + w. Let o be (1 - 2)*(-4)\/6. Which is the nearest to o? (a) s (b) -2\/19 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-14)*v**(-22)*v*v*v*(v*v**(-13))**(8\/7))**(-39) assuming v is positive.\nAnswer: v**(12753\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 597*a**2 - 2986*a + 7. Give y(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*w**2 + w**3 - 3*w**3 - 8 - 9*w**2.\nAnswer: -2*(w - 2)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 + 40. Suppose 0 = 2*i + s - 98. Let z be 32\/(-12)*(-111)\/4. What is the highest common factor of z and i?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 525.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 22 (b) -0.4 (c) 4 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*b - p = -37*b - 7, 18 = 4*b - p. Suppose b*r = 415 - 115. Is r < 61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 367?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -421 (base 6) to base 12\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*s - 39916 = -39762 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65559\/(-208116) - 5\/(-15) and 73\/24.\nAnswer: 3384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-366)\/(-61)*((-148)\/8)\/1?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (74 - 5778*g**2 - 129 + 57)*(-1 + 3 - 4) to b + d*g + u*g**2 and give u.\nAnswer: 11556","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g**3 + 183295905*g**2 - 366591790*g = 0.\nAnswer: 0, 2, 36659179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75 and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 228912121*v**3 - 181498095?\nAnswer: 686736363*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3321)\/(-22140))\/(4\/1520)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1815, -3768, -5721, -7674, -9627, -11580?\n\"Answer: -1953*f + 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -88*g**5 + 2225*g**4 + 972*g**2 + 7*g + 3 wrt g.\nAnswer: -5280*g**2 + 53400*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 13. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -293.01 + 293. What is the closest to 0 in -6, f, -0.04?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 264116?\nAnswer: 264112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (0 - 3) - (-97 + 116)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + b + 11 = 0, -5*b = 3*x - 0*b + 9. Suppose -x*a = 1 + 7. Let z be ((-1)\/(-4))\/((-1)\/a). Is -4 less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a factor of 6\/(-1) + (12775 + -9 - -5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 108 and 2052.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/6 + 60145*o\/3 - 40097\/2.\nAnswer: (o - 1)*(o + 120291)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-3)\/d*d**(-1\/4)*d*(d\/(d*d**1))**19 assuming d is positive.\nAnswer: d**(-89\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8980, 17990, 27000?\nAnswer: 36010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 38 = -2*p. Let k(q) be the third derivative of q**4\/8 + 13*q**3\/3 + 50*q**2. Is k(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 22\/115, 1.4, -6, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 37834310 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 6*f**2 - f + 1. Let s = 7 - 3. List the prime factors of b(s).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = 2*y + 48. Let a be 9*14\/y - (-6)\/33. Factor -2*g**3 + 625 + a*g**3 - 5*g**2 + 3*g**3 + 80*g**2 + 375*g.\nAnswer: 5*(g + 5)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 5:19 PM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 139, 162, 185, 208, 231?\nAnswer: 254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 7. Calculate the smallest common multiple of j and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, o: 2, d: 1}. Give prob of picking 3 t.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -33 and 1.44?\nAnswer: -47.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 z when two letters picked without replacement from {o: 1, v: 1, w: 6, e: 5, z: 1, p: 2}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 767?\nAnswer: 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42 - 49. Sort -1, i, -4 in increasing order.\nAnswer: i, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9217 is divided by 2207.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -453358*t**2 - 21022*t**2 + 2 - 2*t - 2.\nAnswer: -474380*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*c**2 - 291\/2*c + 84681\/4.\nAnswer: (c - 291)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1477219\/182994 - 14\/13071. Calculate the common denominator of r and 2 + 106\/(-124) + -2.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 5*m - 56. Suppose -2*u - m = -2*p, 3*u + 52 = 3*p + 5*u. Suppose -1 = 4*c - 13. Solve -c*k + 0*k + 5*j + 12 = 0, -3*j - p = -4*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -1249*m**2 + 0*m**3 - 44 + 1249*m**2 - 2*m - 4*m**3 + 42. Determine y(-2).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) -2 (c) -1 (d) 45 (e) -4 (f) -416\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -519 + 521. Suppose -6 = o + 3*o - a, -3*a = 3*o + 12. Sort t, o, 5.\nAnswer: o, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 4*w. Let b(s) = -s**3 - s**2 + s + 20. Let n be b(w). Suppose -85 = -2*c - 4*u + 1, 0 = 4*u + n. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 3160 + 3170 = 0, -4*h + 3*o + 18 = 0 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 12:56 PM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5359.381l to millilitres.\nAnswer: 5359381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, -8, 58 in ascending order.\nAnswer: -8, 2, 4, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4534 is divided by 77.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22320, -22322, -22324?\nAnswer: -22326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-116 + 116 + 109*a)*(13 + 6 - 16).\nAnswer: 327*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(130)\/sqrt(40) + sqrt(78)\/((sqrt(180)\/sqrt(3))\/sqrt(10)).\nAnswer: 5 + 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 16 and 25 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - 10 = 5*m. Let f be m\/(-14)*-1 + 18\/63. Put f, -6, 2, 5 in increasing order.\nAnswer: -6, f, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 + -2307ac7?\nAnswer: -2307b02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 - 46*b - 15. Let d be z(-6). Let p be (-2)\/4 - 1510\/(-4). Let s = p - d. What are the prime factors of s?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2972 divided by 2.\nAnswer: 1486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42, 191, 444, 807, 1286?\nAnswer: 1887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.01, 3, 3.1?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 AM and 4:49 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1039 * 1.\nAnswer: -1039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -2*a**3 - 904*a**2 - 111370*a - 2033900 = 0.\nAnswer: -215, -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -50, -102, -150, -194, -234, -270, -302?\n\"Answer: 2*y**2 - 58*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*r = 24*r + 9*x - 16, 2*x = -r - 7 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -497.66?\nAnswer: -494.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) + sqrt(128)*-2 - sqrt(128) - sqrt(128)) + (sqrt(64) + -2*sqrt(64) - sqrt(64))\/sqrt(8))\/(sqrt(288)\/(sqrt(8)*2)).\nAnswer: -28*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1234 or 1233?\nAnswer: 1234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -181 - -189. What is the least common multiple of x and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 334255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -16187630 rounded to the nearest ten thousand?\nAnswer: -16190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -7. Suppose -3*l - l - 96 = m. Let p = 60 + l. Is p a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*y + 0*y - 2*y + (-3*y + 0*y - 6*y)*(1 + 1 + 0) to the form d*y + m and give d.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (5048\/30288)\/(2\/(-1*1608))\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from drd. What is prob of sequence dr?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 1 + 5*f**3 + 2*f**2 - 6*f - f + 4*f. Let j be u(1). Suppose 2*i - 2*y = -7*y + 10, -y + j = i. Is i a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 396768 by -6.\nAnswer: -66128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-168)\/54)\/7)\/(20\/(-18))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)\/sqrt(3) - sqrt(18))**2 + -1*sqrt(2)*2.\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of -5*v**4\/24 - 4*v**2. Let f(l) = -12*l - 11. Let y(j) = 2*j + 2. Let g(k) = -2*f(k) - 11*y(k). Determine g(s(d)).\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 515306527 to the power of 1\/3, to the nearest integer?\nAnswer: 802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 12 = 0, 2*d - v + 8 = -5*v. Suppose -f = -2*b + 2, 4*b - 4 = -6*f + d*f. Suppose f*j = -j + 26. Calculate the remainder when j is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/36)\/(2\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2851*k**3 - 5 + 13 + 21*k**2 - 2850*k**3. What is the lowest common multiple of l(-21) and 7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 + -21. Let p be d\/(-5) - 2*57\/15. What is the smallest common multiple of 10 and (-50)\/(-4)*p\/(-10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*o**4 + 2*o**4 + o**4 + (-4*o**2 + o**2 + o**2)*(0 + 2*o**2 + 0) + (0*o**3 - o**3 + 0*o**3)*(7*o + 6*o + 5*o).\nAnswer: -23*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/8 in 0.2, 0.3, -532, -0.1, -0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 78837500?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -48*c - 57. Give k(-3).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-100)\/(-250))\/((-2)\/(-200)). Let m be (1 - 0) + g\/(-60). Are m and 37\/8 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 12:52 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -77*p. Let d(r) = 77*r. Let g(v) = 7*d(v) + 6*j(v). Let i(y) = -30*y**2. Calculate g(i(u)).\nAnswer: -2310*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8784 + 11024 = -64*y for y.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, 4, -3, -27, -45, -5 in descending order.\nAnswer: 5, 4, 2, -3, -5, -27, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34*4*(-1)\/6*(120\/(-16))\/5.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/7, 1, 2\/9, -1.389, -0.9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + 6*x**2 + 5*x + 6. Let u(s) = -s**3 - s**2. Let a(m) = d(m) + 2*u(m). What are the prime factors of a(5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120 (base 13) to base 2.\nAnswer: -11000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -140? (a) 5 (b) -1\/4 (c) 2\/9 (d) -2\/3 (e) 36\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11 + -96.5?\nAnswer: -96.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.183 - -0.017. Which is smaller: k or 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 - 1. Let g = -28 + 54. What is the remainder when b is divided by g\/2 + (-1)\/(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + -948450.79?\nAnswer: -948473.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + v**2 + v + 120. Let b be d(0). Suppose -12*s - b = -15*s. Is 8 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tfy when three letters picked without replacement from qftyqqtofxqffqyofx?\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d + 2*d - 7*d. Let r(y) be the second derivative of y**3\/6 - 100*y. Calculate z(r(c)).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c + 2*c - 5*c + 2*c - 3*c - c + 0*c + 0*c + c + (2 + 2*c - 2)*(-3 + 4 - 2) + 7*c - 28*c + 13*c + (0 + 1 - 3)*(-3*c - c + 6*c).\nAnswer: -14*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -81.18694 rounded to one dp?\nAnswer: -81.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14543537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g**4 + 4*g**4 - 5*g**4)*(-3 - 5 + 12)*(-5*g + 2*g + 2*g) + (-g - 3*g - 2*g**2 - g)*(g + 2*g + 0*g)*(-84 + 84 - 6*g**2).\nAnswer: 24*g**5 + 90*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 38 + 64. Let w = 63 + v. Suppose -2*h + 10 = -4*d, -26 - w = -2*h - 5*d. Calculate the remainder when 44 is divided by h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**3 + 1430*n**2 + 100855*n + 99430.\nAnswer: 5*(n + 1)*(n + 122)*(n + 163)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 610399 divided by -2?\nAnswer: -610399\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3ef (base 16) to base 5.\nAnswer: 13012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 12*u**2 + 9*u + 35. Let f be l(-12). Let i = -74 - f. Let a(j) = j**2 - j + 1. Let r(t) = 9*t**3 - 6*t**2 + 5*t - 5. What is i*r(q) - 5*a(q)?\nAnswer: -9*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*i**3 - 3*i**3 - 20*i**3.\nAnswer: 71*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -53*t - 475. Calculate b(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 495647?\nAnswer: 495647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 1 + 2*d - 2 - 3*d. Let q = -449 - -452. Let a(t) = -t - 3. Let x(m) = q*o(m) - a(m). Let i(j) = 7*j. Calculate x(i(b)).\nAnswer: -14*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -79*h - 7. Let g be a(-1). Suppose -48 = -10*p + g. Let u(c) = -c**2 + 12*c + 4. Give u(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73862, -73863, -73864, -73865, -73866, -73867?\nAnswer: -73868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7615*l**4 + 21*l**3 - 13159*l**2 - 25?\nAnswer: -182760*l + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**4\/17 - 162*x**3\/17 - 14052*x**2\/17 - 230272*x\/17 - 216384\/17 = 0 for x.\nAnswer: -28, -1, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -8*i. Let q(a) = -9*a - 7. Let j(k) = 5*k + 4. Let h(n) = -7*j(n) - 4*q(n). Calculate h(y(c)).\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 10:18 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 4*a**2 + a - 2. Let x be j(4). Suppose -x*u + 7*u = 0. Put u, 1, 2 in descending order.\nAnswer: 2, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**42\/((t**(1\/9)*t*t)\/t) assuming t is positive.\nAnswer: t**(368\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-125)\/50)\/(5\/(-12))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4511128 to the nearest integer?\nAnswer: 2124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*u + 748 = 95*u - 988 - 314 for u.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {u: 7, r: 2}.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1366 - 887 + 1810)*(-12*a**2 + 3*a**2 - 15*a**2 + 3*a**2)*(-3*a - 2*a + 4*a).\nAnswer: -9303*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 145760 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 315 - 303. Let m be (-34)\/(-66) - 4\/f. Sort 0.4, m, -0.2, 1.6 in decreasing order.\nAnswer: 1.6, 0.4, m, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*c**2\/2 - 2085*c + 614376 = 0. Calculate c.\nAnswer: 424, 966","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, x: 3}. What is prob of picking 3 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010100111101000011 (base 2) to base 3.\nAnswer: -122200022211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -319*p**2 - 29*p + 29*p.\nAnswer: -319*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 - 19*q - 30. What is k(19)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104 = -21*b - 20 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**4\/4 - 709*j**3\/4 - 63011*j**2\/2 - 30975*j + 62658 = 0. Calculate j.\nAnswer: -354, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 - 17. Which is the nearest to -0.2? (a) -2\/11 (b) n (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000422308295 rounded to 7 dps?\nAnswer: 0.0004223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q + 55. Determine j(37).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/9 - (2 - 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1204, 2610, 4214, 6010, 7992, 10154, 12490, 14994?\n\"Answer: -u**3 + 105*u**2 + 1098*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 12*c + 75 = 0. Solve 3*v = -0*v - c for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74 + -51 - (32 + 12\/1)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 > -99660?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/9 of a week?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -26*a**3 - a**2 + 2*a - 52. Let y(r) = r**3 - r**2 + r - 1. Let x(i) = -t(i) + 2*y(i). What is the third derivative of x(w) wrt w?\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -53022, 1 in increasing order.\nAnswer: -53022, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5.929142ml?\nAnswer: 0.005929142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 640*t - 15088. Give m(24).\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(-6 + 6 + 0). Which is the closest to q? (a) 3 (b) -12 (c) 0.4 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 62284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -3987830 to the nearest 10000.\nAnswer: -3990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 48590589 and -1118076.\nAnswer: 47472513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23515748?\nAnswer: 2, 59, 99643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 5:47 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 3 = -4*j, -6*m = -2*m - 4*j - 24 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5396886?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2064 + -2062. Is 4\/55 <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*a - 10*a**2 - 246*a + 124*a.\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**(-6)*r**(3\/10)\/r)\/(r\/(r\/((r*r**3*r)\/r*r))*(r\/r**(-11))\/r))**(-35\/2) assuming r is positive.\nAnswer: r**(1449\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -685170 rounded to the nearest 1000?\nAnswer: -685000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + -1*-1*sqrt(2) + sqrt(90)\/sqrt(5))*-6 + 5*-1*(-5 + sqrt(2) + sqrt(12)\/sqrt(6)))**2.\nAnswer: -2000*sqrt(2) + 3825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3161 + 3161.3. Let a be 5 + -3 - (-14)\/(-10). What is the nearest to a in -1, 2\/3, r?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**4 + 468*z**3 - 21186*z**2 - 724464*z - 4792608.\nAnswer: -2*(z - 129)**2*(z + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-6*8\/12)\/(752\/5452)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h - 4*h - h**2)*(-29*h + 42*h - 1 - 38*h**2 - 12*h).\nAnswer: 38*h**4 - h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 193.4 + -181.4. What is the closest to 2 in 0.5, -3\/5, i?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1507a - 0?\nAnswer: -1507a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3107 (base 8) in base 4?\nAnswer: 121013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 201190*s**2 + 201192*s**2 - 402380*s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -2\/1194943, 0, 3\/8 in descending order.\nAnswer: 3\/8, 0, -2\/1194943, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -45*s**3 + s**2 - 2*s + 1. Let x be r(1). Let p = x + 29. Let c(d) = 57812*d**2 - 9*d - 16. Let f be c(p). What is f rounded to the nearest 1000000?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 t when two letters picked without replacement from ieccapctiptppa?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -406 or -406943?\nAnswer: -406943","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -6*z**3 + z**2 + 1. Let v(c) = -11*c**3 + 3*c**2 + 1. Give 7*a(i) - 4*v(i).\nAnswer: 2*i**3 - 5*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*p**4 + 678170*p**3 - 193760*p**2 = 0.\nAnswer: 0, 2\/7, 19376","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62946?\nAnswer: 2, 3, 13, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s - 3. Let g be u(7). Suppose -g*h + 9 = -h. Which is the third biggest value? (a) -0.4 (b) h (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 9 = 0, 4*g + u - 4*u = -9 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 336 is divided by 107.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or 19359?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207*u + 21*u + 6512 = 221*u for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 14.1, -1\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/19, 2\/9, -1\/3, 293\/5, 3.\nAnswer: -1\/3, 2\/19, 2\/9, 3, 293\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166 - 73 = y. Suppose -95*d + y*d = -84. What is the remainder when 167 is divided by d?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b. Let h(l) = -38*l**2 - 535*l + 1509. Let i(p) = 20*p**2 + 292*p - 754. Let m(d) = -6*h(d) - 11*i(d). Calculate m(n(v)).\nAnswer: 32*v**2 + 4*v - 760","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2\/3, 48, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.83412 to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-606)\/(-4))\/3*(-86954)\/(-43477)?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 379996 to the power of 1\/2, to the nearest integer?\nAnswer: 616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2118 - -58?\nAnswer: -2080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 222716900 rounded to the nearest 1000000?\nAnswer: 223000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15621 + 15630. Solve -8*f + 6 = 2*n - g*f, 14 = n + 5*f for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32 + 55. What is the remainder when 68 is divided by o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 45\/2, 3\/2, 2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -4*q - n - 3, 0 = 3*q + 4*n - 18. Suppose -q*x = -10*x + 388. Suppose -4*c - 2*s + 17 = -113, -x = -3*c - 2*s. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 5*f + 54. What are the prime factors of z(17)?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 6, w: 4, r: 4}. Give prob of sequence wwrw.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3 (b) 4 (c) -142\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(544))\/sqrt(2450).\nAnswer: 4*sqrt(17)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 8) + (-28 - (3 - 59))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -431 + 6899\/16. What is the closest to -0.1 in 2, m, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 156980 divided by -5.\nAnswer: -31396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of 7*a**5\/10 - a**4\/6 + a**2\/2 + a. Let q = -244 - -245. Let c be h(q). Solve 3*v = x, -v - c = 4*x - 0*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*d + (4 - 1 - 1)*(4*d - 5*d + 3*d) - 3 + 3 - 3*d - 3*d - 2*d + 2*d)*(-2 - 1 + 9).\nAnswer: -24*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4527 - -4527.077. Let r = -0.419 + 0.842. Let s = z + r. What is the nearest to 1\/3 in -1\/11, s, -0.5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/(-637)*-7*-3?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u - 2*u + 1485*u**2 - u.\nAnswer: 1485*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1565 is divided by 425.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a century in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2890.818 months in decades?\nAnswer: 24.09015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-2\/5)\/p*(((p*p**(-12))\/p*p*p)\/p)\/p*p*p*(p\/(p\/((p*p\/(p*(p**(2\/11)*p*p)\/p*p))\/p)))\/p*(p**(-5)\/p*p*p)\/p)**39 assuming p is positive.\nAnswer: p**(-39858\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3a822 + 20?\nAnswer: -3a802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 212394 and 127203?\nAnswer: 1167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*k + 87. Let x = -96375 - -96390. What is the greatest common factor of k and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7446 is divided by 1485.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -286.8218766 rounded to the nearest integer?\nAnswer: -287","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1.5 (b) 18\/7 (c) -61\/6 (d) 1 (e) -8\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 98863 and 109?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.41, 298051, -0.3?\nAnswer: 298051","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -45, -66, -87, -108?\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5 = 29. Let l be i - (1 + -1 + 2). Let z(u) = -u**2 - 8*u - 8. Let k be z(-6). Calculate the greatest common factor of k and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j*j**(-2\/7)))**(8\/13))**40*j**(-1\/6)\/((j*j**1*j)\/j)*(j**0*j)**(-32) assuming j is positive.\nAnswer: j**(-1375\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - 1*(1 - 2). Let o be (-10)\/(-2)*(-6)\/15. Sort -1, o, g in decreasing order.\nAnswer: g, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -9*c + 1. Let a be w(1). Let h = 9 + a. Solve 0 = -2*m - h - 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-19)\/(1482\/(-351)))\/((-9)\/(-12)) + (-41)\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -12*k + 246. Let j be v(20). Solve 2 = -4*x + j*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 412119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -0*p + 150. Let m(a) = 6*a + 59. Let r be m(-10). What are the prime factors of p\/(-20)*(r - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 a factor of 4399760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24.94 - 25. Let j = 0.704 + 3.296. Which is the biggest value? (a) -0.1 (b) v (c) -0.3 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3735963975.\nAnswer: 3, 5, 49812853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4\/5, -7\/4, -24, -1, 1, -3\/4, 0.328?\nAnswer: 0.328","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2044485501?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 (base 6) in base 10?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i = -6*i - 30. Solve i*b = -g + 15 + 4, 5*b - g - 21 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 + 3 - 3)*(4*p - 2*p + 0 - 1).\nAnswer: -36*p + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 3 + 1)*(-h + h - h)*(-3*h**3 + 5*h**3 + 2*h**2 - 4*h**2) to the form x*h**3 + o*h**2 + j + v*h**4 + t*h and give v.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 475190 is divided by 211.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkccccckcccc. What is prob of picking 3 c and 1 k?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 12:33 AM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -16237758 times 5\nAnswer: -81188790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - (sqrt(77) - -3*-3*sqrt(77)))\/(-2*sqrt(891))*3 + 3)**2.\nAnswer: -9*sqrt(7) + 99\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i = 5*i. Put -3, i, 2 in decreasing order.\nAnswer: 2, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 1\/74, -8 in descending order.\nAnswer: 1\/74, -0.5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by 30.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-792)\/672)\/(0 + 10\/8) - 3\/15\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*s + 87 = -137 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gsdk when four letters picked without replacement from qdqkqqqsqqqgqgkq.\nAnswer: 1\/10920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -39.47 (b) -3 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57302 is divided by 3246?\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of -n**5\/20 - 19*n**4\/12 + 7*n**3\/2 + 21*n**2\/2 + 38*n. Let j be c(-20). Which is smaller: 7\/20 or j?\nAnswer: 7\/20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -401*q + 991 = -1014 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4*5\/440*4. Let h be 2\/(4\/6*-15). What is the biggest value in -2\/9, n, -1\/2, h?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-3\/2)\/(y**(-5)*y*y)*(y*y\/(y*y**(-2)*y))\/y*y**(1\/10))**36)**(-37) assuming y is positive.\nAnswer: y**(-17316\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 125342510 divided by 1?\nAnswer: 125342510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22484475?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25494 and 1806?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2092846 is divided by 86?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*-1945.7.\nAnswer: -11674.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2976)\/(-9)*18\/24 is divided by 84?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.85 times 4?\nAnswer: -11.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 38 and -21.8 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 86 and 34142?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j**2 + 4*j - 4. Let t = -65 + 17. Let u be (t\/(-15))\/(-4)*5. Let v(x) = -x**2 - x + 1. Let i(f) = u*v(f) - o(f). Let g(w) = w. Calculate g(i(c)).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1435 + 932. Let q = 4154755.9518 - 4155259. Let p = q - v. Round p to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/8 + 27\/12. Let r = -0.06 + -0.04. What is the third biggest value in c, 2\/5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zhz when three letters picked without replacement from {j: 3, c: 1, x: 1, z: 3, p: 2, h: 2}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 113376224783 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-14)\/(s**(10\/7)*s) assuming s is positive.\nAnswer: s**(-115\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 44.2291 - 44.3. What is a rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x + 48 - 48 - 4*x. Let f(b) = -2*b**2 + 6. Let v(y) = 2*y**2 - 36. Let s(z) = 84*f(z) + 14*v(z). What is s(o(n))?\nAnswer: -1260*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 842789 or 842751?\nAnswer: 842751","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.560324 milliseconds to days.\nAnswer: 0.00000008750375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -5*o - o + 0*o + 2*o. Let l(j) be the second derivative of -j**3\/6 + j. Let c(h) = 6*h - 4. Let u be c(-3). Determine u*l(m) + 6*i(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 18 (b) -0.01 (c) 5 (d) 39 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50850742.\nAnswer: 2, 41, 727, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 2*c = 9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 + 1)\/((-16)\/8). Let r be (3 - (-2 + 4 - 0))\/o. Suppose -2*s = 6 - 10. What is the highest common factor of r and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2144, -6, 24, 2, 0 in decreasing order.\nAnswer: 24, 2, 0, -5, -6, -2144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 divided by 2235510.\nAnswer: -19\/2235510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 9}. What is prob of sequence qq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.4 - 0.3. Let j = -16388 + 16398. Which is greater: b or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177598 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 6*b - 9. Let u(c) = 7*c**2 - 5*c + 3. Let h be u(b). Calculate the greatest common divisor of 17 and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 198*b + 20*b + 22*b + 35*b + 37*b to u*b + m and give u.\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in one quarter of a day?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 35 = h. Suppose -h = 2*s - 21. Is s > 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.017 times 0.02785?\nAnswer: -0.00047345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3720991 to the power of 1\/3, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 162 - 653\/4. Let p = 9.8 + -9.7. Put 0.2, v, p in increasing order.\nAnswer: v, p, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (45\/(-20))\/((-3 - (-258)\/48) + -5). Suppose -x*z + 2\/7*z**5 + 2\/7 + 4\/7*z**2 + 4\/7*z**3 - 6\/7*z**4 = 0. Calculate z.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11004956 divided by 5\nAnswer: 11004956\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzzvzzv. What is prob of picking 3 z?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-5 + (sqrt(1539) - (-3 + 1 + sqrt(1539)) - sqrt(1539)) + 3)*3)**2.\nAnswer: 124659","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2580279ng to micrograms.\nAnswer: 0.0002580279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 131*r - 283. Let q be w(6). Let l = -504 + q. Let h(p) be the first derivative of p**4 - p**3\/3 - p**2 - p + 1. Determine h(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -6898?\nAnswer: -6896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 209 - 289. Let p be 6\/(-15) - 52\/f. What is the nearest to 0.2 in 0.2, 7, p?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (61\/((-11529)\/108))\/(35\/(-49)*-26).\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*n - 3 - 49*n + 1354*n.\nAnswer: 1277*n - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -4*b - 15*b**2 - 1 + 4 - 4 - 5. Let a be x(6). Find the common denominator of 143\/12 and (14\/(-72))\/((-10)\/a).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -h - 6*h. Suppose 4 = x, 0 = -3*i - h*x + 4*x - 4. Suppose -4*q - f + 20 = 0, -i*f - 17 = -5*q + 8. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11481*h - 23386*h + 11914*h.\nAnswer: 9*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 957 + -1917\/2. Which is the third smallest value? (a) 0.1 (b) 57 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13100 + 23?\nAnswer: -13011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 64*k - 31*k - 25*k. Give y(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22723505 is divided by 113.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(1*sqrt(704) - sqrt(704))*2)**2 - (-1 + (1*sqrt(220)\/sqrt(4))\/sqrt(5)))*-6.\nAnswer: -6 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 210, 244, 352, 576, 958?\nAnswer: 1540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2835281 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 917 greater than 831?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28178*a - 28210*a + 1611232 = 0. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(891) + 1 - (sqrt(11)*-2 + -3)) + -5*(sqrt(1100) + -2) + -2.\nAnswer: -28*sqrt(11) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1393 - 2*t - 562 - 544)*(-2 + 2 + 3*t)*((1 - 4 + 1)*(-3 - 4 + 6) - 5 + 4 + 0).\nAnswer: -6*t**2 + 861*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 244015459 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -58 * -0.072.\nAnswer: 4.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 230 + -226 + (-56 - ((0 - 2) + -1))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 6*v + 76 - 31 - 10.\nAnswer: 6*v + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159800 = 66*u - 16*u. Is u < -3197?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -0.095 (c) -2\/3 (d) 94 (e) 4 (f) -9 (g) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (10 + -4 - 6) + 8\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1247 divide 149527642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22888?\nAnswer: 2, 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -4. Let w = 0.01163 - -289.28837. Let m = w + -289. Put i, 0.1, m, -1\/4 in descending order.\nAnswer: i, m, 0.1, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-3))\/((-4)\/(-48)). Suppose o = f + f. Suppose y - 40 = -f*m + 7, 0 = 5*m - 2*y - 49. Calculate the greatest common factor of 22 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 + 59. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1905.\nAnswer: 3, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - 257 = 143. Calculate the lowest common multiple of 30 and m.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(8)\/(sqrt(4)*-2) - sqrt(2))*-1.\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-24 - -13) + 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -3*t + 14. What is the remainder when 56 is divided by t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-5)*260\/16?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6823.2 + 6824. What is the nearest to 0 in -1\/7, -2\/9, s, -3\/5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuuuuzuuuuuu. Give prob of picking 3 u.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, -11, -933, 0.013.\nAnswer: -933, -11, -4\/5, 0.013","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17830 = -65*l + 75*l. List the prime factors of l.\nAnswer: 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2239985 to the nearest integer?\nAnswer: 1497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 221 a factor of 20111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -87*f - 2. What is the tens digit of b(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 91 - 72. Let l(q) be the first derivative of -27 - m*q - 3*q**2 + 33 - 2*q**2 + 35. Differentiate l(h) with respect to h.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*f + 4*s, s + 233 - 230 = -3*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(10 + -5)\/(-125)*(-25 - -20). Let a be (0 + 2\/14)*4. Sort a, 0.5, h in decreasing order.\nAnswer: a, 0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6 - (2 - -2 - 2). Suppose -r*h = -2*h - 288. Let w(n) = -2*n**3 + 2*n**2 + 2*n - 2. Let x be w(-2). What is the greatest common divisor of h and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 327\/973 - 7\/139. Factor -o*l - 2\/7*l**2 + 0.\nAnswer: -2*l*(l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 700988 and 652644.\nAnswer: 18926676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2.0743473 months?\nAnswer: 0.172862275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-5 + 7 + -9 + 1) - 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 480*478268\nAnswer: 229568640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 15, 2, 4.\nAnswer: 2, 3, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12130313030 + 10?\nAnswer: -12130313020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + r**4)*(-3*r - 2*r + 2*r) - 15277 + 204*r**5 + 15277.\nAnswer: 201*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (1 + (-1 - -6)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 0 - (-30)\/(-40)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 7:23 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 81 - 83. Which is the nearest to -1\/3? (a) 1.6 (b) -4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w - 393 + 1053 - 332 - 375.\nAnswer: 3*w - 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(10\/3)*w**(-2\/7))\/(((w\/(w*w*w**(-2)))\/w)\/((w\/(w*w*((w\/w**6)\/w)\/w*w))\/w)) assuming w is positive.\nAnswer: w**(148\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2049.99 and 3.35046461.\nAnswer: 2053.34046461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6527\/14 + 466. Let r(y) = -y**3 - 17*y**2 - 16*y + 1. Let u be r(-16). Which is bigger: l or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 147 + -150. Let b be ((-408)\/36)\/((8\/f)\/4). What is the greatest common divisor of b and 527?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*h**4 + 0*h**4 - 2*h**4 + 9*h wrt h?\nAnswer: 48*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.23 - 0.93. Let a = 4359 + -4356. Sort v, a, -4, 2\/3 in decreasing order.\nAnswer: a, 2\/3, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 250008, 500059, 750110?\nAnswer: 1000161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*g**2 + 229*g + 667*g + 1723*g - 13 + 16.\nAnswer: -33*g**2 + 2619*g + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 6 - 146 = 0. Suppose 0*k = -k + 18. What is the remainder when f is divided by k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20.99 + 21. What is the nearest to -1\/4 in h, 0.5, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -4*r**3 - 6*r**2 - r - 1. Let g(w) = -4*w**3 - 7*w**2 - w - 1. Let p(l) = 5*g(l) - 6*i(l). Let c be p(-1). Sort c, -2, -5 in decreasing order.\nAnswer: -2, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -2*n + 2. Let q(y) = -y - 4. Let d be q(-7). Calculate the highest common factor of d and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 568253938?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30218 - -30217.8. Which is the second biggest value? (a) 1 (b) 2 (c) 1851 (d) 0.2 (e) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 937 - 11?\nAnswer: 926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 >= 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -167 - -84. Let y = -87 - x. Put 0, 2, y, -41 in descending order.\nAnswer: 2, 0, y, -41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 PM and 10:30 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -29*z - 44. Let i(m) = 7*m + 11. Give 2*f(p) + 9*i(p).\nAnswer: 5*p + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 280 - 166 = 0. Let s be z\/(-10) + 22\/(-55). Let k = s + 311\/7. Sort 5, 0.3, k in descending order.\nAnswer: 5, 0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -46532640*z**4 + 54646369*z?\nAnswer: -558391680*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -345, -343, -341?\nAnswer: -339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/18*(-975)\/(-50). Let o be 0\/(-2 + (0 - 0)). Sort o, 1, d in ascending order.\nAnswer: o, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -4*d**3 - d**2. Let j(b) be the first derivative of -15*b**4\/4 - 2*b**3 - b**2\/2 - 2*b + 194. Let t(o) = 4*c(o) - j(o). Calculate t(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2*z = 58, 0 = 3*w - z - 20 - 50. What is the remainder when 2\/13 - (-713)\/13 is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 40*r**2 + 11*r + 42. Let z be g(-4). Suppose -522 = z*u - 641*u. Calculate the least common multiple of u and 4.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -43?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q**3 - 6*q**2 - 4*q - 3. Calculate y(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - 222. Let w be r(15). Let u(t) = -t**2 - 6*t - 5. Let q(s) = -s - 1. Let h(z) = -5*q(z) + u(z). Determine h(w).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197953697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -5070.\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-7 + -1 - -13).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 9:36 PM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of -7*y**4\/6 + 37*y**3\/3 - 4*y**2 - 211*y. Calculate r(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 210?\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s + 1. Suppose t - 36 = -2*t. Suppose 0 = 6*g - 9*g + t. Give b(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1479, -1478, -1475, -1470, -1463, -1454?\n\"Answer: u**2 - 2*u - 1478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000385506482 to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 1 = 27. Let a = -9 - -21. Let w(i) = 24*i + 20. Let b be w(a). Calculate the highest common divisor of c and b.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22068 at least as big as -22068?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ph when two letters picked without replacement from {m: 11, l: 1, j: 1, p: 2, h: 4}?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/2 (b) -2 (c) -0.2 (d) 0.106 (e) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.027 (b) 0.3 (c) -3\/2 (d) 3 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4010*d*h**3*p**2 + 9*d*p**3 - 2*h**3*p**3 - 415*h**3*p**2 - 2*h*p**3 - 2 wrt d?\nAnswer: 4010*h**3*p**2 + 9*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**2 - 943*g - 18801. Let x be u(-19). Let j(p) = -9*p**2 - 4*p - 3. Let f be j(4). Is f < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -77 + 81. Suppose -k*d + 18 = -3*p + p, d = -p - 3. Suppose -o - 2*i + d = o, 4*i = 5*o + 13. Put -4, 3, -5, o in ascending order.\nAnswer: -5, -4, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-113*x + 35*x - 24*x)*(-1 - 4 + 10).\nAnswer: -510*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104)\/sqrt(4))\/sqrt(2) - (sqrt(52)*-1)\/sqrt(4) - ((sqrt(156)*1 - sqrt(156))*-3)\/sqrt(12)) + ((sqrt(208) + 3)*-4 - (2 + 1*sqrt(208)))**2.\nAnswer: 562*sqrt(13) + 5396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -150853.13 rounded to the nearest 1000?\nAnswer: -151000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1932 divided by -6?\nAnswer: -322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2289 is divided by 393.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1*15*(-1)\/(-54)*58\/((-7540)\/78)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 + (38 + 0 - -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 38135*q - 1067781. Give u(28).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -47*m - 37. Let t(q) = -3*q**2 - 52*q. Give t(f(j)).\nAnswer: -6627*j**2 - 7990*j - 2183","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4230 - 4221. Calculate the remainder when 153 is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 356660 to the power of 1\/2, to the nearest integer?\nAnswer: 597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3303 + 3307. Let k(o) = 6*o + 8. Let s be k(6). Calculate the highest common divisor of s and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that w**4\/3 - 44*w**3\/3 + 628*w**2\/3 - 1056*w + 1728 = 0.\nAnswer: 4, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*sqrt(170))\/sqrt(10) - (((-1 + sqrt(17))*-3)**2 + 1*sqrt(1377)).\nAnswer: -162 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 8 = -7. Let c = u - 0. What is the units digit of (c + -1)\/(-1*1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 2*t**2 - 2*t. Let r be p(-5). Let g = r - -96. What is the remainder when g is divided by (-2)\/(-10) - 237\/(-15)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-20\/9)*u*u\/(u**(3\/13)*u))\/(u**7)**32 assuming u is positive.\nAnswer: u**(-26261\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11590651.8 microseconds in days?\nAnswer: 0.0001341510625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 2737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-22)\/(-5) - 21\/(-35). Let k be -1*1 + (-182)\/(-154). Let r = -3 - -3.1. What is the smallest value in r, a, k?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32924?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzfzzzzzzzzzzzzzzz. Give prob of sequence zfz.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16612968.\nAnswer: 2, 3, 631, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2671000?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, h: 2, j: 3, w: 2, f: 1, s: 6}. Give prob of picking 2 w and 1 h.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 3:51 PM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of b**6\/360 - 61*b**4\/24 + 46*b**2. Let d(u) be the second derivative of z(u). Let t(q) = q + 7. What is d(t(m))?\nAnswer: 2*m + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a*w**4 + 1411093*a*w**3 - a*w**2 + 10*w**6 + 2521*w**2 - 16240*w wrt w?\nAnswer: 24*a*w + 8466558*a + 1200*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 90*p + 2*p**2 - 90*p as z*p + h*p**2 + m and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 520 divide 149774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/11, 4, -0.2, 0.1675 in ascending order.\nAnswer: -3\/11, -0.2, 0.1675, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -36335.6 and -5?\nAnswer: 181678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z - 3. Let h be f(3). Let l(v) = -3*v + 1. Let i be l(-1). Find the third derivative of -r**h + 2*r**2 + i*r**3 - r**3 wrt r.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63*-24352.\nAnswer: -1534176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/(-4))\/((-5)\/(-50)). Let s(d) = -d + 23. Let t be s(9). Let b = z - t. Which is bigger: b or -1\/9?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 93 + -98.1. Let z = y + 5.0916. Round z to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60749*t + 81944*t - 116601*t.\nAnswer: 26092*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/5*40\/12 - 0. Let z be (-2)\/(-4)*(-4)\/(-3). Factor 2\/3*b**2 + z*b**3 - n*b - 2\/3.\nAnswer: 2*(b - 1)*(b + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = -k + 4, 201*k + 116 = 203*k + 38*t for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -193120? (a) 0.19 (b) -1\/2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*u, 0 = -3*j - 2*j - 4*u + 91. Suppose 0*l = -5*l + j, 4*k + 2*l = 42. Suppose 4*n - k*n = -2705. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 31919635?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = 2*b - 41, 3*o = -b - 13 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2093, 1991, 1823, 1589?\nAnswer: 1289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 + 31. Calculate the least common multiple of 3\/(((-4)\/(-14))\/(12\/21)) and d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 3*b + 100 = 0. Let u be 22\/8 - (-5)\/b. Solve 21 = -w + 4*t, u*w + 5 = 2*t - 18 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*j**2 + 29856*j - 2508860 = 0. What is j?\nAnswer: 85, 7379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -n**2 + 129*n + 1 - 1381*n**3 + 1367*n**3 - 128*n in the form j*n + q*n**3 + l*n**2 + r and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/57356 or 0?\nAnswer: -1\/57356","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -5*k - 1 - 7, 4*k = -2*a + 8. Let o(f) = 2*f. Let x(g) = -g. What is a*o(s) + 9*x(s)?\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50*h + 9*h - 31*h)*(-7*h + 16*h - 2*h).\nAnswer: 196*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 28199 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 576022.\nAnswer: 2, 179, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -129 + 144.7. Let x = a + -16. What is the fourth biggest value in 6, x, 1\/5, 2\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2910*b**2 + 148307*b - 148307*b. Let v(a) = -2*a. What is j(v(q))?\nAnswer: -11640*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 185 - 182. Solve 0 + 2\/9*n**q - 2\/9*n + 0*n**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + 4*n**2 + 7*n - 8. Let o be x(5). Suppose -8*h - o = -34. Solve -z = -3*a + 12, 4*z + 3 = h*a - 7*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 14592221921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 215 + 215 - 147*b + 209 - 849 + 215 to the form l + v*b and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -5*n + 8. Suppose -n*w = -11 - 59. What are the prime factors of w?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 44*v**2 - 44*v + 3051. Is u(47) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3382349?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 4*w + 5. Suppose 0 = 7*m + 141 + 111. Let a be 16\/96 + 2*(-123)\/m. Calculate p(a).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -380, 4, 2\/3 in ascending order.\nAnswer: -380, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 + 23*p + 53. Let t be y(25). Suppose 2*w - 16 = -2. What is the remainder when ((-5 - -7) + 13\/t)*3 is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 + -9. Is 83 + b\/((-4)\/(-6)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4108 and 208.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -964 - -1009. Suppose 0 = 46*h - r*h - 27. Calculate the lowest common multiple of 6 and h.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12571293.\nAnswer: 3, 7, 19, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 + -18. Let v be (44\/55)\/((b\/10)\/(-2)). Let l = 4 + 0. What is the third biggest value in v, l, 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2787519 and -0.09954.\nAnswer: 2787518.90046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from zrzzkwkzkvvwkzkkw.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/18399441 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -165179285 - -22884.\nAnswer: -165156401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*6*(-1 + sqrt(171) + -1))**2.\nAnswer: -3888*sqrt(19) + 56700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/41 + -47\/123. Let i = 0.87 + -0.8. Let f = i + 0.13. Is f bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, t: 1, k: 1, n: 1, w: 1}. Give prob of sequence kw.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 145021819?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -14962 - 2*j + 14962. Let k(g) = -4*g + 1. Let c(v) = -v**2 + v. Let z(i) = -4*c(i) - k(i). Let b(l) be the first derivative of z(l). Give w(b(n)).\nAnswer: -16*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 45\/(-21))\/((-9)\/126)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of -h**4\/12 + 7*h**3\/3 + 8*h**2 - 22*h. Let n be c(14). Suppose -20*s + n*s = -380. Is 19 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100101 (base 2) in base 11?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5471888*q**3 + 114*q - 2011?\nAnswer: -32831328*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = 10, -4*h - 5*m - 10 = -0*m for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3325596?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7874387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1495*j**2 + 549*j**2 + 769*j**2.\nAnswer: -177*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 52 - 37 - (-86)\/(-6). Factor -w*z + 2\/3*z**2 - 4.\nAnswer: 2*(z - 3)*(z + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 9, 3, 14 in descending order.\nAnswer: 14, 9, 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + p = 3*p - 19, a - 8 = -p. Let o be (2 + 1)\/(-6)*-4. What is the highest common divisor of o and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -2*x + 112. Let t be 9903976\/x - 3\/(-2). What is t rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put -2499, 34, -7, 5 in increasing order.\nAnswer: -2499, -7, 5, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of -86*y**7\/105 + 34*y**3\/3 + 2*y**2 + 3. Find the first derivative of c(b) wrt b.\nAnswer: -688*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8013?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 960846960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 5*p**3 - 2*p**2 + p. Calculate j(-2).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -10*l**3 + l**2 + 13*l - 18. Let d be s(3). Which is smaller: d or -239?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -2, -203, -5, -34, 5 in increasing order.\nAnswer: -203, -34, -5, -2, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 5089740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of -2*x**7\/105 - x**5\/12 - 3*x**2. What is the third derivative of y(c) wrt c?\nAnswer: -96*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 55 + -6 + 3 + 2. What is the lowest common multiple of 4 and 12\/x + 176\/18?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 305*d = 302*d - 9, 0 = -a - 4*d - 24 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 139 = -8*g, 2*k + 5908 = 4*g + 5850 for k.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 574019541 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 863604364?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -81 + 108. Is 2 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 16. Let f be -20*1\/(-4)*g. Let i = 4 - f. Is i a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161*d**3 - 296*d**3 + 223*d**3 + 226*d**3.\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 871502, 1742957, 2614410, 3485861, 4357310, 5228757, 6100202?\n\"Answer: -b**2 + 871458*b + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.128 and -141706798.94.\nAnswer: -141706798.812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 308*x - 16219. Determine l(53).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3099 is divided by 748?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 291 a factor of 1616229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34278 by 3.\nAnswer: -11426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 8 = x, -15*x = -14*x + 8*p + 29 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 217, 234, 277, 358, 489, 682?\n\"Answer: 2*g**3 + g**2 + 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of h**7\/735 + h**6\/140 + h**5\/70 + h**4\/84 + 61*h**2\/2 - 43. Let z(g) be the second derivative of v(g). Factor z(b).\nAnswer: 2*b*(b + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.068037961 times -0.4\nAnswer: 0.0272151844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + -5 + (27 + -45 - -6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1700 and 44540.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 6*w - 1. Let c(l) = -5*l. Suppose 4*k - 4*n - n + 21 = 0, 4*k + n = -15. Give k*c(p) - 3*s(p).\nAnswer: 2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 133 + -141. Is -7 greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n**5\/4 + 147*n**4 - 24351*n**3\/2 - 5391*n**2 + 437589*n\/4 + 36612 = 0.\nAnswer: -113, -3, -1\/3, 3, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9855?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.28 - -0.08. Let c = -23.9 - -24.3. What is the nearest to c in a, -1\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1152 and 946584?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + 4*z**2 + 9*z - 11. Let o be (3 - 2)\/(8\/40). What is the remainder when 32 is divided by t(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3737743 centuries in years?\nAnswer: 37.37743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/5 - 177394*n**2\/5 - 1573325120*n + 9441228000.\nAnswer: -(n - 6)*(n + 88700)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 times 12061.17?\nAnswer: 96489.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -69*f**5 - 76*f**5 + 13*f + 157*f**5 wrt f?\nAnswer: 240*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -301 + 58. Let m = j - -242.999877. What is m rounded to 5 decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/4))**(1\/27)*(t**(-4\/5)*t)\/((t\/t**(2\/17))\/t) assuming t is positive.\nAnswer: t**(2831\/9180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 152483 - 1372349\/9. Suppose -6 - 2 = -4*a. Let h = 0 + a. Sort f, h, -0.5, 4 in descending order.\nAnswer: 4, h, f, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1883 (base 10) in base 6?\nAnswer: -12415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 15)\/((-2)\/1). What is the remainder when 29 is divided by 1 + x\/(-2)*2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.83 + 4.43. Let q = -2.04 + 0.04. Sort x, -1\/7, q, 4 in decreasing order.\nAnswer: 4, -1\/7, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1602020156?\nAnswer: 2, 11, 59, 56101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3318255336.\nAnswer: 2, 3, 11, 607, 20707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -136423 - 1?\nAnswer: -136424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.03706 + 345.33706. Round l to the nearest ten.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*l = -4611 + 4641. Sort -24, 33, l in increasing order.\nAnswer: -24, l, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) -1\/2 (b) -63.358 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-2\/13))**(-33)*(r**(-7))**(2\/5) assuming r is positive.\nAnswer: r**(-2657\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/3490 and 49\/6.\nAnswer: 10470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -2*m + 7, -3*b + 97 = 3*m + 79. Solve m*q = 692 - 714 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 809706?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2017*8.6.\nAnswer: 17346.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 3482316\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1189\/5 + 238. What is k in k**4 - k + 1\/5 - a*k**5 - 2*k**3 + 2*k**2 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of -c**3\/3 + 4*c. Let n be o(7). Round n to zero dps.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*s - 10 = -29*s. What is the greatest common factor of 2 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4759 + 466. What is the tens digit of (s\/5)\/(-3) - 18\/90?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.14 - 0.14. Let v = -9 + s. Let g = 1.6 + 1.4. Which is the closest to 0.1? (a) v (b) -4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of -1\/2*d**2 - 1\/6*d**3 + 0 + 4*d. Let o(v) = 4*v + 2. Calculate -2*h(l) - o(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f - 624 - 199 = 37*f + 975 for f.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -7*c - 5. Let k be 3*2\/3 + 3. Let v(r) = -2 - 6*r - 1 - 1. Let x(j) = k*v(j) - 4*i(j). Let g(o) = -2*o**2. Determine g(x(p)).\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1, -2, 2\/9, 802, 6\/13, -5?\nAnswer: 802","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 2:36 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f + 5. Let v(d) = -d + 6. Let q(u) = -6*a(u) + 5*v(u). Let j(c) = -2*c - 2*c + 2*c. Give q(j(b)).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8, 169, 0.11669, 0.5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 44111103?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 2*c - 30. Suppose 3*q = -c + 40. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (25 + (-7 - 42)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -34 - 5*v**3 + v**3 + 4*v**3 - v**2 + 24*v**4 + 35 + v in the form q*v**2 + a*v + m + d*v**4 + t*v**3 and give d.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 - 4*w - 1. Let k be j(-3). Let c(m) = -2*m + 21. Let q be c(8). Suppose -21 + q = -4*d - 2*i, -22 = -5*d - 2*i. Solve k*o = 4 + d for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 + 1.68. Let u = i + -1.5. Which is the closest to -0.1? (a) u (b) 2\/7 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8 + 12 - (2 - 3))\/(10\/6). Let i(x) = 29*x - 81. Calculate i(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 954 and 264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (70\/6 - 1)*468. Let o = -3270 + r. What are the prime factors of o?\nAnswer: 2, 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**2 + 27*z + 15. Let d be j(-13). Suppose 2*c + 7*u - 57 = 2*u, -5*c + 215 = -d*u. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 + 27. Suppose -2*o - f*i + 99 = -2*i, -258 = -5*o + 3*i. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 14*c**2 - 23*c + 11. Let n(a) = -36*a**2 + 15*a - 7. Let h(z) = 9*z**2. Let l(o) = -3*h(o) - n(o). Calculate 5*b(w) - 8*l(w).\nAnswer: -2*w**2 + 5*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 163121*u + 166084*u - 2 in the form b*u + d and give b.\nAnswer: 2963","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 4*t + 5294. Is l(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 13*f**2 + 10*f - 9. Give x(-12).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/(-5)*(-5)\/2 - 3. Sort -1, c, -5, 2.\nAnswer: -5, -1, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 2*m - 5*c = -6, 538 - 537 = -4*m - 3*c for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oiqq. What is prob of sequence oqqi?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.44 (b) 5 (c) 2\/3 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/20*(-756)\/(-5103).\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -277*u + 1110. Let j be z(4). Which is the fourth smallest value? (a) 4 (b) 2\/11 (c) j (d) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.644 plus 3?\nAnswer: -4.644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g**6 + 102384*g**5 + g**2 + 5860*g - 1?\nAnswer: -240*g**3 + 6143040*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 1)\/(1 - 3). Let u = 1 + n. Let j be (1 - 1)*1\/u. Solve -3*l + 2 = 2*o - 7*o, j = l - o for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -99 - -101. Suppose 5*m = -3*p - 4, -p = 3*m - l*m. Suppose -5*g + p = -23. Solve g*j + 3*f + 20 = -0*f, -25 = 5*j + 4*f for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 154150096?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13\/236 or 0?\nAnswer: 13\/236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 571874 is divided by 145.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 897 - 12834 = -630*g + 5703 for g.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -286 - -9?\nAnswer: -277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.306*-0.1.\nAnswer: 0.0306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 177 in descending order.\nAnswer: 177, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -4542 (c) -1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 257312686*d**4 + 176299728*d wrt d?\nAnswer: 3087752232*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97710 is divided by 466.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1001121 (base 3) to base 9\nAnswer: -1047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2174512843 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - k = 7, -1337*k - 3 = -2*s - 1332*k for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from imqqqiiqqqiiqqfqqqf. What is prob of sequence iq?\nAnswer: 55\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 130*c**6 + 1125*c**2 + c wrt c?\nAnswer: 15600*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s + 0*s + 8*s + 9*s + 6*s.\nAnswer: 18*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a century in decades?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 + 14*g + 5. Let p be t(12). Let z = -53 + p. Let d be (z\/(-18))\/(2\/3). Solve 4 = 6*r - d*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 4*l + 136. Let b = l + 36. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 790, 839, 834, 745, 542, 195?\n\"Answer: -5*m**3 + 3*m**2 + 75*m + 717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 846 and 6.\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -199177 (base 11) in base 5?\nAnswer: -34230004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**3 - 22*s**2 + 50*s - 10. Let t be f(8). Let y(x) = x**3 - 6*x**2 - 2*x + 1. Give y(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7037?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {u: 4, b: 6}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2154*a**2 + 10756*a + 74. Calculate k(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*b = -171*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) + 2*sqrt(2904))\/(-2*sqrt(8)*-2).\nAnswer: 23*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 84 from 614944.\nAnswer: 614860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z. Let x(v) = -v. Suppose -3*d + 8*d - 25 = 0, 5*u + d = 5. Let y be u - -1 - -2*2. Let c(t) = y*x(t) - 10*m(t). Let q(n) = -n. Determine c(q(w)).\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of -17*d**4\/24 + d**3\/6 + 18*d**2 - 74. Let a(z) be the second derivative of q(z). Determine a(1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 664843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.1 + -1.1185. What is p rounded to 3 decimal places?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yhyyyyyyyhyhyyyyyhh. What is prob of picking 4 y?\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*y + u + 28, -5*y = u - 11 - 11 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -78 + 76. Let p(l) = -7*l**3 - 2*l + 2. Suppose -68 = 59*r + 9*r. Let t(h) = -h**3 + h - 1. What is k*t(a) + r*p(a)?\nAnswer: 9*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 z, and 1 c when three letters picked without replacement from zzzzpzzpczaa.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 8:09 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -13379837\/76 < -176050?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/253 at least 8\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**4 + 2*a**4 + 0*a**4)*((a + 2*a - 5*a)*(-3 + 5 - 4) - 14 + 10 - 124*a + 5).\nAnswer: 120*a**5 - a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 409*z = -0*z + 156*z - 600 + 9202, 5*o - 43 = -2*z for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -203219 by -203219.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 1\/4, -5, -3\/2, -5\/3, -3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -8 + 6 - 2*z + z**2 + 11. Suppose 0 = 8*c - 3*c + 40. Is l(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 524877 times -53\nAnswer: -27818481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -109.24?\nAnswer: -218.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -255 in 3, -51795, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 12:11 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 530 = 2*t, -4*j + 292 = t + 27. Let z = t - 12. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151177267 a multiple of 275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (g + g - g)*(-g - 2*g + 17*g) to f + x*g + o*g**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.5, -17, -0.1, 4\/15?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/10)\/((-5)\/(-75)*9\/(-6)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 1.4. Let g = 32 - 31. Suppose -2 = c - g. Is c <= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 477*n**4 + 522*n**4 + 315*n**4 + (0*n**3 - n**3 + 0*n**3)*(-n + 1 - 1) + 0*n**4 - 5*n**4 + 3*n**4.\nAnswer: 1313*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(17)*-2 + sqrt(68)\/sqrt(4)*-1 + (sqrt(17) + 1 + -2 - (-3*sqrt(153) + sqrt(153))\/sqrt(9)) + -4)**2.\nAnswer: -100*sqrt(17) + 1725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -67 by 14.\nAnswer: -67\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -541 + 996. Let z = q + -479.9. What is z rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 418 divided by 2\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-5 + 0 + 3)*(z + 3*z - 2*z) - 8*z - 5 + 3*z + 4*z)*(162 - 22*z - 162) - 7*z + 7*z - 2*z**2 to v + m*z + c*z**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5616*v**3 + 160?\nAnswer: 16848*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1247214, 1247185, 1247156, 1247127?\nAnswer: 1247098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6950 - 6860. Solve w = -33*g - 9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006175 to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in -44, 0.86, 3\/4, 1144, 2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53775, -50645, -47515, -44385, -41255?\nAnswer: -38125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 9) to base 15.\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 11) to base 13\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -237 + 13*g**2 + 237.\nAnswer: 13*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.22, -0.2, -78\/7, 5\/2, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 2*c + 3*c = 4, 3*w - 3*c - 12 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2, 2, 10, 22, 38?\n\"Answer: 2*j**2 - 2*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m + 7. Let t be v(6). Is t >= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1247*n + 23618*n - 999*n + 740*n.\nAnswer: 24606*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6603 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -18367 to the nearest ten.\nAnswer: -18370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a day in minutes?\nAnswer: 15480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 + -31. Sort 11, i, -5 in increasing order.\nAnswer: -5, i, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - 9*l**2 - 19*l + 5. Let g(o) = -o**3 + 5*o**2 + 10*o - 3. Calculate -5*g(f) - 3*y(f).\nAnswer: 2*f**3 + 2*f**2 + 7*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-8) + (-226)\/16. Put d, -5, 5 in decreasing order.\nAnswer: 5, -5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3055, -6155, -9251, -12337, -15407, -18455?\nAnswer: -21475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 975 + -978. Which is the nearest to -1\/4? (a) -20 (b) 3 (c) r (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (193\/(-5))\/((-9)\/(-45) + 0). Let v = h - -208. Suppose 0 = z - 0*z - 6. Solve a - z*a - v = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 10:19 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of 0*s**2 - 2\/3*s**6 + 0*s**5 + 0*s**4 + 0*s + 4\/3*s**3 - 1. What is the third derivative of p(f) wrt f?\nAnswer: -240*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*p + 0*p + 4*p)*(-p**2 - 4 + 4) - 2*p - 2*p**3 + 2*p + (-175*p - 64*p + 120*p)*(-3*p + 3*p - p**2))*(0*p + p - 2*p)*(-4 + 1 + 0).\nAnswer: 354*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -3, -1, 82590 in decreasing order.\nAnswer: 82590, 11, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -11*j**2 + 2576*j + 29659. Calculate i(-11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29361*k**5 + 3*k + 1022.\nAnswer: 587220*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2133*k + 2133*k - 6419*k + 2116*k.\nAnswer: -37*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 177883 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 714666, 5717357, 19296096, 45738909, 89333822, 154368861?\nAnswer: 245132052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 163340.5 micrometers in millimeters?\nAnswer: 163.3405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/10)\/(((-24)\/9)\/4)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d = -291 + 256 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -372*l**2 + 48 + 10*l + 8*l + 369*l**2 = 0.\nAnswer: -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.517414 litres?\nAnswer: 2517.414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.098 - 181832.\nAnswer: -181832.098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/13, 0.2, -0.2, 3\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3*r**3 + 251*r**2 - 89*r - 201. Give d(-84).\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 387*q**3 + 117*q**3 - 831*q**3.\nAnswer: -327*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 92 = 5. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p + 7. Suppose 2*x + 3 + 7 = 0, 0 = c - 2*x - 3. Let s be w(c). What is the units digit of (-2)\/(-2) - (-4 - s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -562.1508648 rounded to one decimal place?\nAnswer: -562.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.05 + 0.35. Suppose 0 = 3*m - m - 2*i + 4, i = -2. Which is the second smallest value? (a) d (b) m (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**3 - 7390*q**2 + 7385*q.\nAnswer: 5*q*(q - 1477)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1402 divided by -11.\nAnswer: 1402\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4d7 (base 15) to base 3\nAnswer: -1111211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**2 + d - 2. Let z be m(-2). Let c = -1 + z. Solve 2*n + t = -2*n - 9, n = 5*t + c for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.8253 + 0.1123. What is y rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r**(-1\/3)\/r))**(12\/11))**(-3\/7))**42 assuming r is positive.\nAnswer: r**(-504\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.13614 + -0.53614. What is the third biggest value in 140, 1\/3, t, 0.5, -1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1)*o**(-2\/15))\/((o\/o**(-6)*o)\/((o\/((o**(-3)\/o)\/o)*o)\/o)) assuming o is positive.\nAnswer: o**(-47\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 - 5*d - 5. Suppose -5*m = -c + 21, -4*m - 21 = -2*c - 3. Let h be f(m). Let p(g) = 2*g**3 - 3*g**2 - 1 - 3*g**3 + 4*g**2. Give p(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -557*q - 2749. Give j(-5).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 11*a**2 + 29*a + 26. Determine l(-13).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*z + z = 64 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32216307 is divided by 210?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 5*j**2 + j - 2. Give z(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s + 36. Let w be l(-12). Solve 4*a - a = w for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -40*h*m**3 + 16*h*m**2 + 8*h*m + h - 184*m**4 + 7*m**3 - 2*m**2 + 3059*m + 1 wrt m.\nAnswer: -240*h - 4416*m + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1623*s - 3225*s - 1040 = -1667*s for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -l*p - 74*l*w - 2*l - 2*p**4*w - 3*p*w wrt p?\nAnswer: -l - 8*p**3*w - 3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -v - 21. Let u = v + 61. List the prime factors of u.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (b + 4*b**2 - 4*b**2 - b**3)*(13 - 1 + 0) in the form g*b**2 + l*b + f*b**3 + w and give l.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -45*g + 406. Let p be o(9). Solve 2*f - z = 6*f - 3, -f - p = 2*z for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -5*d - 1. Let x be 11\/(-1 + (-4)\/d). Let u = x + -7. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*a - 880*a**4 + 2*a**2 + 444*a**4 + 411*a**4 + 0*a**3 + a - 2 + a**3 in the form o + v*a**4 + d*a**2 + q*a + l*a**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1\/94 + -237\/188. Put 4, 19, i in descending order.\nAnswer: 19, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/2)*s\/(s*s**(-6)*s))\/(s*s*s*s*s**1*s**(-5\/2)))\/((s**(1\/4))**(3\/40)\/(s*s**3*s*(s**(-1\/5)*s)\/s)) assuming s is positive.\nAnswer: s**(217\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 - ((-11440)\/(-3304) + -7). Let h = 49562\/59 - 840. Let u = h + k. Which is greater: u or 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -66.42 + 0.42. Let p = 63 + d. Let i be ((-2)\/3)\/((-32)\/(-18)). What is the biggest value in i, -0.3, p?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4*m + 1 = -3*m, 0 = -3*m + 15. Suppose 0 = 7*p - t*p - 30. Let x be (-1)\/((p\/9)\/(-2)). Solve -x*r + 3 = 3*s, 7*r - 3 = -3*s + 2*r for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 462033 or 462032?\nAnswer: 462032","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-4\/7)*a**(1\/2))**(2\/43) assuming a is positive.\nAnswer: a**(13\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 + -15. Suppose b = -6*a + 9*a + 12. Let h(m) = m**3 + m**2 - m - 1. Let v be h(-2). Is a less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 4 = p - 2*p, v - 5*p - 20 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -938 + u**3 + 938.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-128 - -129) + 6 + -2 + 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4.7 (b) 2 (c) 11 (d) 242\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 111352 (base 7) to base 13\nAnswer: 8ca1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 392950549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, 87, 106, 91, 30, -89?\nAnswer: -278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 2*x + 9 = -d, -d + 5*x + 12 = 0. Let i be 3\/(-9)*d + 3. Put i, -5, 0.4 in decreasing order.\nAnswer: i, 0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16601.157 milliseconds in minutes?\nAnswer: 0.27668595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 474392?\nAnswer: 2, 19, 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 33963664 to the power of 1\/3, to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 31587 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1761194763 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 108 - 69. What are the prime factors of d?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, 3155 in decreasing order.\nAnswer: 3155, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -59 - 254. Let i be 1 + (-3)\/78*s. Let j = i - -58\/13. What is the common denominator of j and 123\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 490 - 4900 = 0. Let v = -448 + x. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m**2 + m**2 - 8*m**2)*(-146*m - 99*m - 39*m + (2*m - 3*m + 2*m)*(0 - 3 + 1)) to the form g*m**3 + f + y*m + s*m**2 and give g.\nAnswer: 2574","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 21390\nAnswer: -64170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ywim when four letters picked without replacement from {w: 1, m: 2, i: 2, z: 2, y: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.754 - 0.054. Let x = -4.7 + k. What is the third smallest value in 2\/5, x, 1\/7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*d*g**2*u - 10*d*g - 22*d*u + 2*g**3 - 18*u wrt g.\nAnswer: -16*d*g*u - 10*d + 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, s: 2, r: 3}. What is prob of picking 1 s and 2 r?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4077 (base 16) to base 6\nAnswer: -204223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3\/3 + 3008*v**2\/3.\nAnswer: 2*v**2*(v + 1504)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2181*i - 2359*i + 2273*i**2 + 6075*i wrt i?\nAnswer: 4546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 235669468?\nAnswer: 2, 47, 971, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 43*j - 14 + 6 as k*j + r and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 11*h**2 + 1. Let g(f) = -2*f**2 - 16*f + 2. Let o be g(-8). Let j be (o*1)\/(-6) + (-38)\/57. Calculate the remainder when 46 is divided by w(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/5 and 11\/6037107.\nAnswer: 30185535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = -4*y - 4*y. What is the greatest common factor of y and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -4. Suppose -s = -6 - b. Determine m, given that s*m - 2*m**5 + 8*m**4 + 5*m**5 - 4*m**2 - 5*m**5 - 8*m**3 - 4 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 635*l**4 - 18*l + 21 wrt l.\nAnswer: 7620*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 AM and 4:35 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 - -3 - (-66 - -5)) + -16?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -115426, -230846, -346256, -461650, -577022?\nAnswer: -692366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 541298*j**2\/5 + 541297*j\/5 - 1\/5 = 0. Calculate j.\nAnswer: -1, 1\/541298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -1) + (-23 - -18)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**3 + 2*n**3 - 4*n**3)*(-2*n**2 - 2*n**2 + 7*n**2) + 1280 - 1280 + 8*n**5.\nAnswer: 2*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**2 + q**2 + 4*q**2)*(2*q + 2*q - 2*q)*(4*q - 3*q - 4*q).\nAnswer: -12*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 31*c**2 - 4*c - 2. Let m(x) = 15*x**2 - 2*x - 1. Let s(q) = 5*m(q) - 3*p(q). What is s(-1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-2) + 13)\/(15\/(-105)). Let u be ((-22)\/m)\/(1\/7). Suppose 5*h - a - 205 = 2*a, -5*h + 200 = -u*a. Calculate the lowest common multiple of h and 10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**2 + 11*y - 4. Determine b(7).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -239744*w + 239744*w + 2 + 1462*w**3 to s + u*w**2 + g*w + t*w**3 and give t.\nAnswer: 1462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.3, -15235, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 l when two letters picked without replacement from lcxqlcollxqlxqcl?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 29 = 4. Let g be ((-124)\/c)\/(110\/(-75)). Let z = g - -13\/22. Calculate the common denominator of z and -109\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 245 divided by -5.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 424995713 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106 - u + 106 - 19*u**2 + 24*u - 23*u.\nAnswer: -19*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -405 (base 11) in base 12?\nAnswer: -349","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -26 (b) -11 (c) 5 (d) -2 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 5*f - 11. Let o(s) = -5*s + 10. Let q(c) = -4*g(c) - 3*o(c). Calculate the common denominator of q(-7) and (1 + 0)*9\/(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 372 is divided by 186?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 722 + -644. Let a = j - 153\/2. Suppose -2*v + a + 1\/2*v**2 = 0. Calculate v.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - 25*y + 6. Calculate g(-24).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-38)\/114)\/(-2*2\/18708).\nAnswer: 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-11)\/(-2 - (-2 - 1)). Let h be 3\/((-3)\/i) - 3. Find the common denominator of ((-15)\/(-6))\/((-1)\/h) and -93\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, z: 1, x: 1, a: 1, n: 1}. Give prob of picking 1 n and 1 a.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/10)\/(80\/24 + -3). Factor w*t**2 - 6\/5*t - 4\/5*t**3 + 1\/5.\nAnswer: -(t - 1)**2*(4*t - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (503 - 979 + 587 - v**2)*(-v - v + 0*v) + (-2*v**2 + 0 + 0)*(3*v + 0 + 0) - 3*v**3 + 0*v**3 + 2*v**3.\nAnswer: -5*v**3 - 222*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1503 rounded to the nearest 100?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 6*r - 8. What is n(-7)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 242235956.\nAnswer: 2, 29, 2088241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89479298, -89479299, -89479300, -89479301, -89479302?\nAnswer: -89479303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*t + 63120 = -0*t. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3678656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38 + 40. Suppose y + 37 = -4*u, y - 29 = 2*u - m*y. What is the remainder when (3 - u\/(-4))*98 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 12, t: 3}. What is prob of sequence vvtt?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -31, -87, -143?\n\"Answer: -56*n + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -109*s**2 + 95*s**2 + 107*s**2. Let v(a) = 4*a**2. Calculate v(u(i)).\nAnswer: 34596*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/15, 4\/7, 0, -2 in ascending order.\nAnswer: -2, 0, 4\/15, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1021*v - 508*v + 18*v**3 - 68465*v**2 - 513*v + 68465*v**2.\nAnswer: 18*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 14*r**2 + 32*r - 32. Let i be a(1). Solve -6 - i = 10*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -3*b**2 + 203*b + 652. Let c(l) = -l**2 - 6*l - 1. Let z(q) = -2*c(q) + p(q). Factor z(t).\nAnswer: -(t - 218)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 6:11 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 39 = 5*g, 3*z - 5 = -2*g + 5. Suppose 5 + g = 5*y - 2*d, 0 = 4*d - 8. What is the lowest common multiple of 8 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - c = -29, -2 = w - 4*c - 12. Is 5 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.354 - 0.076. Let f = -3.27 - -2.18. Let l = f - t. Round l to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g + 56. Let q be f(-16). Factor 12*h**2 + 8*h**2 - q*h**2 - 5846*h + 3*h**3 + 5855*h.\nAnswer: 3*h*(h + 1)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = -32 + 6 + 136 for l.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 26*n**2 + 25*n + 3. Let g be m(-25). Suppose 2 = -2*q + 6. Solve 7 + q = g*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 4*p - 18, -4*p = -o - 0*p + 3. Suppose 0 = 8*y - o - 25. Let n(q) = 5*q + 6. Let w be n(2). What is the greatest common divisor of w and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 5, n: 4, x: 6}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 + 5 - (-2 - -2). Suppose l + 15 = -4*j, 0*l - 5*j - 21 = -l. Let d(i) = 3 - l + i**2 - 2*i**2 + i. What is d(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 377359.\nAnswer: 19, 19861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 11\/(3 - (-20)\/(-8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -1) + (-41067)\/(-1053).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 + 183. Let v = 164 - n. Solve -3*b + 8 = -3*y - v, 0 = 2*b - 4*y - 10 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -5*c - 17. Let z be (22\/33)\/(4\/c). Let y be 15\/(-2) - 4\/(-8). Sort y, z, -3.\nAnswer: y, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -0*k + 15. Solve 3*v = k - 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -140*z + 107*z + 312*z + 182*z + 414*z + 6 as k*z + q and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a kilogram in grams?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*t + 20*t + 34 - 34 + 18*t + 8*t + 28*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3*g**2 + 4*g + 1. Let n(a) = -1 + 74*a - 4*a**2 + 1 - 77*a + 1 - 2. What is -3*n(r) - 2*t(r)?\nAnswer: 6*r**2 + r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 8:39 AM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 4*i = 16, 0*g - 3*i = 4*g - 19. Let q = -5 + g. Suppose f + q*f = 24. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w - 13. Let s = 137 + -122. Let g be x(s). Factor -9*u**3 - 12*u**g - 14 - 11*u + 20*u + 26*u + 64.\nAnswer: -(u - 2)*(3*u + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 92 + -88. Calculate the greatest common divisor of 4 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14715226*j - 7357603*j - 7357624*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*q - 3*q**4 + 13*q - 36*q**4 + 23*q wrt q.\nAnswer: -468*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00014315977 rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 92 and 1012.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 116 = -8*n. Calculate the common denominator of -29\/33 and 1 - -2 - 2 - n\/(-24).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -3608*b - 23. Let s = -40 + 49. Let w be d(s). Let m be w\/(-5) + 4 - 3. Round m to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3 + 4 + i + 2*i**2 - i**2. Suppose t + 1 = 0, -4*d - 4*t = -22 + 6. Suppose d*r - 4 = -4*g - 1, -5*g = -10. Give j(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 144\/70 - (-336)\/420 and 43\/964.\nAnswer: 6748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {b: 5, y: 2, k: 3}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -9557*m + 9552*m + 56, -23 = -5*m + q for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 5.181256 centuries?\nAnswer: 0.5181256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8242, 32960, 74156, 131830, 205982?\n\"Answer: 8239*g**2 + g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4035325 to the power of 1\/4, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 27439 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 4:44 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 o when three letters picked without replacement from iiiiioiioo.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -8*g**2 + 2*g - 1. Let d(f) = -7*f**2 + 2*f - 1. Let h(t) = -8*c(t) + 9*d(t). Suppose 4*m - 9 = 3*u + 4, -3*u - 4*m + 19 = 0. Determine h(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -49, -202, -443, -766, -1165, -1634?\n\"Answer: r**3 - 50*r**2 - 10*r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + j**2 - 34. Give m(0).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2.13467004*0.4\nAnswer: -0.853868016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3\/9 - 9956*q**2\/9 - 16511960*q\/9 - 3041301904\/3.\nAnswer: -2*(q + 1622)**2*(q + 1734)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -991*g + 987*g + 12 = 4*o, -21 = -3*o - 5*g. Let k(x) = 5*x**2 - 3*x - 48. Give k(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 - 3*h**2 - 2*h**2)*(5*h**3 - 5*h**3 + 4*h**3) - 5*h**5 + h**5 + 3*h**5 + (2*h + 2 - 2)*(3*h**4 - 3*h**4 + 2*h**4) + 0*h**5 + 0*h**5 + 2*h**5.\nAnswer: -11*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11612082 + -11612082.063198365. Let j = -0.0632 - r. What is j rounded to 7 decimal places?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153) + -2 + sqrt(34)\/sqrt(2)*-4 - -1*(sqrt(272) + 1).\nAnswer: -1 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, l: 5, f: 3}. Give prob of picking 1 l and 1 g.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4 = -y. Suppose y*z - z = 165. What is the common denominator of -99\/2 and (13\/(-40))\/(22\/z)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x*x*(x\/(x\/(((x\/(x\/(x*x**(2\/5)\/x*x))*x)\/x)\/x)*x))\/x)\/((x\/(x*x\/x**(-1\/4)))\/x))\/(x*(x**0\/x)\/x)**(-30))**(-34))**(-2\/7) assuming x is positive.\nAnswer: x**(-9299\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 312?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 2*f, 3*f = -3*n + 6. Suppose -n = 3*v - 4*h, -5*h + 15 + 3 = 4*v. What is the least common multiple of 11 and v\/(-6) - 80\/(-24)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((243\/324)\/((-9)\/(-6)))\/(2\/(-60)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -217*n**2 - 905*n - 753. Calculate j(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 (base 6) in base 14?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.3, 0.04, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 0*w + 3\/7*w**3 - 6\/7*w**4 + 3\/7*w**5 + 0 + 0*w**2 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of 23\/17*p**2 + 40\/51*p**3 - 61 + 12\/17*p - 2\/17*p**4. Factor h(g).\nAnswer: -2*(g - 6)*(2*g + 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of n**7\/1680 + n**6\/240 + n**5\/80 + n**4\/48 + n**3\/3 - 5*n. Let a(f) be the second derivative of p(f). Factor a(d).\nAnswer: (d + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -343, -353, -369, -391, -419, -453?\n\"Answer: -3*h**2 - h - 339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1288711 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2201045268?\nAnswer: 2, 3, 53, 59, 58657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 288a (base 11) to base 10\nAnswer: 3728","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 at least as big as -7501451?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2056 divided by -67\nAnswer: -2056\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 3 - 2 + 1 - 3 - 6 - 1 + 5 + 1 + 2 - 2 + (-5 + 3 + 4)*(2 - 3 - 1) - 4 + 4 - 2 + 6 - 1 - 3)*(2*g + 0*g - 4*g).\nAnswer: 14*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(11) - (sqrt(11) + 0)) - (-3 + sqrt(99))) + 2.\nAnswer: -3*sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4559*h**5*l + 4*h*l + 36*h - 4*l - 4 wrt h?\nAnswer: -91180*h**3*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2.3, -5\/2, -1, 2, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 418\/(-60) - -4 - -3. Let c(x) be the third derivative of l*x**6 + 0 + 0*x + 0*x**3 + 0*x**4 - 1\/30*x**5 - 1\/105*x**7 + 2*x**2. Factor c(u).\nAnswer: -2*u**2*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87160483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152 = 4*n - 2*o, -2*o + 1458 = -5*n + 1649 for n.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - y**3 - 10*y**2 + 6 + y**2 - 7*y. Suppose 330 = 15*t + 435. Give f(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 28*x + 2. Let h(j) = 3*j - 16897. Calculate h(b(k)).\nAnswer: 84*k - 16891","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4164, -8242, -12322, -16404, -20488, -24574, -28662?\nAnswer: -32752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*t**3 + 1135065*t**2 - 1418847*t + 283770 = 0. What is t?\nAnswer: -94590, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 284 + -283. Suppose 0*t = -3*t. Which is smaller: j or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 175 - 91. Is 7 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 64 = 5*o. Solve -3*z + o = -4*b - 0*b, b + 13 = 3*z for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 498250.2 milligrams?\nAnswer: 498250200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1714?\nAnswer: 2, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-41)\/(1666\/(-98)*2\/(-34))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 12 = -4*g, -2*g + 6 = -22*j + 18*j for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5db16d (base 15) in base 8?\nAnswer: 21106245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a + 1. Let w(r) = -2*r - 16. Let b(u) = 5*v(u) + w(u). Let t(i) = -2*i + 5. Determine -2*b(x) - 5*t(x).\nAnswer: 4*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -344 (base 13) in base 11?\nAnswer: -472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 10712 + 20488 = 0. Round x to the nearest 1000.\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 16 - ((25 - (149 - 8)) + 32)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1250 + 669*i + 1250 + 4*i - i - 2*i + (2 + 1 - 4)*(-2*i + 5*i - i) to p*i + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (150220\/15022)\/((-790)\/(-4)).\nAnswer: 4\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/5*(-151)\/604\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 102, 3, 2, -7511, -0.3, 4.\nAnswer: -7511, -0.3, 2, 3, 4, 102","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -38 + (21 - 16 - (-4 + 7) - 13 - -5).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 466a7 - -ca0?\nAnswer: 47457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 (base 5) in base 6?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -7*s**2 + 23*s - 190. Let v(f) = -3*f**2 + 8*f - 67. Give 3*d(r) - 8*v(r).\nAnswer: 3*r**2 + 5*r - 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 9:09 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 4*w**2 - 6*w - 5. Let c be f(-5). Let v = c - -3. Factor -8*m**3 + v*m - 2*m - 3*m**2 + 5*m**3 + 3 + 2*m.\nAnswer: -3*(m - 1)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 10 - 14 = f, -i = f + 42. Let l = 1601 + -1120. Let n = l - 1462\/3. Find the common denominator of n and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 229, 228, 227, 226?\n\"Answer: -w + 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + d = 105, 18 = -4*t + 3*d + 145. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 1425213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-35)\/(-20) + 3\/12. Differentiate 55*t**2 + 49*t**2 - 107*t**o + 9 with respect to t.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/6*24\/(-16)*2972?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -332524 + -245?\nAnswer: -333102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.6847814m?\nAnswer: 684.7814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4620 - -7764. What are the prime factors of t?\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*q - 115*q = -168792. Suppose -3*f + 8677 = -5*u, f + 6945 = -5*u + u. Let b = q - u. What is b rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7574*a**6 - 6616*a**2.\nAnswer: -908880*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -479333931, -958667860, -1438001789, -1917335718, -2396669647?\nAnswer: -2876003576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1634, -1638, -1636, -1622, -1590, -1534?\nAnswer: -1448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 - -31. Let i = 17.1 - q. Suppose 2*d - 3*n = -8*n, -4*d - 60 = -5*n. Sort i, d, 0.4 in descending order.\nAnswer: 0.4, i, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -24, -6, 10, 24, 36, 46?\n\"Answer: -o**2 + 21*o - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22129 - -22094. Let s = 4.4 - 4. Which is the closest to 1? (a) s (b) -4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 7666 - 7673.9. Sort 3, b, -2\/5, -5 in descending order.\nAnswer: 3, -2\/5, -5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**3 - 14325268*k + 14325268*k.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 2*h + 11, -3*h + 3*g - 8 - 16 = 0. Let q be (h\/2)\/(6\/(-184)). Suppose 4*c = 2*c + q. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-36)\/24)\/(3\/(-4)). Find the third derivative of 17*d**2 + 2*d**3 - 7*d**6 - 2*d**3 - 12*d**l wrt d.\nAnswer: -840*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 16*c**2 - 37*c - 103. Let k be g(-14). Solve -79*m - 224 = -k*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 - 4*g**2 + 6*g + 9. Let n be 32\/(-7) - 6\/14. Let d be i(n). Solve -d*t - 6 = 5*s, 5*t - s = -0 + 7 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.5968 + -1.6. Round b to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**3 + 181470*y**2 - 1088848*y + 1451808 = 0. What is y?\nAnswer: -181476, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 10*t - 13*t + 8, -5*r + 5 = 0. Let n = 7 - 4. Suppose -4*x + 3*u = -5, -5*x - 5*u + 16 = 1. Solve -n*g = x + t for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-216)\/(-6*4\/32). Suppose 24*y - 8*y - w = 0. List the prime factors of -2 + -2 - (-9)\/(y\/154).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggbrttkkgkbkgkkb. What is prob of sequence kb?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(((sqrt(891) + -1 + 2)*5)**2 + -4) + -3)*-5.\nAnswer: 13500*sqrt(11) + 668895","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) -0.4 (b) -339 (c) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3\/7 + ((-10188)\/(-54)*12\/(-56))\/1\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c**2 - 5*c**2 + 3*c + 3*c**2 - 12*c**2.\nAnswer: -10*c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.09345737 to five dps.\nAnswer: 0.09346","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 + 8*r + 3. Let h be q(7). Let u be ((-32)\/200)\/(10\/25). Let d = 2.21 + -0.21. Which is the second smallest value? (a) h (b) u (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 5*y + 7 = 2*y, -7 = p - 5*y. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(55)\/(sqrt(11) - sqrt(176)) + -1 - -4*-1*sqrt(320))**2.\nAnswer: 194*sqrt(5)\/3 + 47072\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -7*j**2 - j + 6. Let n(s) = 9*s**2 + 2*s - 7. Give 7*b(m) + 6*n(m).\nAnswer: 5*m**2 + 5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/(-9))\/((1218\/63)\/(-29)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2236166.\nAnswer: 2, 47, 23789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 270406, 271377, 272348, 273319?\n\"Answer: 971*m + 269435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/1842 and 89\/869583?\nAnswer: 533923962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -10*r - 3. Let h be ((-2)\/(-1) - 5) + 1. Let k be d(h). Let s be ((-10)\/8)\/(8\/(-32)). Solve s*a = -k - 8 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 17*y - 32. Let z(i) = 16*i - 33. Let n(h) = -g(h) + z(h). Let f = 9 - 15. Let t(v) = -3*v + 3*v + 8*v + 3. Give f*n(r) - t(r).\nAnswer: -2*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(70\/(-4)))\/((-6)\/(-10)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3509786 + -0.4.\nAnswer: -3509786.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 162932643047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/3239880 and -11\/38304?\nAnswer: 38878560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -9\/7 (b) 0.05 (c) -2\/3 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35 + 39. Let g = 19 + -16. Sort g, k, 1 in descending order.\nAnswer: k, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) 0.2 (c) -5 (d) -7 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.463 in 2\/3, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5564382 is divided by 231849?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 AM and 2:49 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(200) + (0 + sqrt(200))**2.\nAnswer: 10*sqrt(2) + 205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z - 5 + 0 + 4 + 0 to the form a + q*z and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 3) + (-10 - 1 - 2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b**2 - 15*b + 8. Let z be m(-11). Suppose -5*j - 365 = 5*d, -2*j - 3*d = 209 - 59. Is z less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f + 0 + 0 - f + 3*f + f + (0 + f + 0)*(-3 + 4 + 0) - 2*f - 2*f + 2*f - f + 4*f - f + (f + 0*f - 4*f)*(3 - 3 + 2)*(-3 + 6 - 1).\nAnswer: -9*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-4)\/l*l*l\/(l**0*l)*l*l**(5\/6)*l\/l**2)**16 assuming l is positive.\nAnswer: l**(-152\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5987, -6091, -6275, -6539, -6883?\n\"Answer: -40*t**2 + 16*t - 5963","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24485665.\nAnswer: 5, 2083, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**4 + 5*i + 1. Let f(c) = c**4 + c. Let t(r) = -5*f(r) + k(r). Differentiate t(l) wrt l.\nAnswer: -24*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 172738?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-528)\/1224*6\/22.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g + 1. Let q(f) = 0 - 2*f + 1 + 6. Let u be q(6). What are the prime factors of b(u)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 3:30 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6000 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3060*x**4 + 9*x**3 + 8*x - 4060. Let n(s) = 2295*s**4 + 7*s**3 + 6*s - 3045. Let z(m) = -7*d(m) + 9*n(m). What is the first derivative of z(a) wrt a?\nAnswer: -3060*a**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 6196101?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nrcc when four letters picked without replacement from {n: 1, c: 2, r: 1, t: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 128*s**2 + 648 - 3*s**4 + 51*s**3 - 398*s**2 + 75*s + 249*s.\nAnswer: -3*(s - 6)**3*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 121, 1056, 3597, 8548, 16713, 28896?\n\"Answer: 134*o**3 - o**2 - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3531 less than 17654\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 1) + 54 + -73 + 5 + -1\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 156058605 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*s - 85*s = -108 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3910.4 + -3867.4. Suppose -4*q = -2*q + 2. Are m and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(168)*-5)\/sqrt(6)*5*1*-4)**2.\nAnswer: 279995","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-2) - (8 + -15). Suppose -10 = -t + b, 3*t - 30 = -0*t + q*b. What is the greatest common divisor of 20 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/7820 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -15*n + 3544. What are the prime factors of n?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12609212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11.7078560746938 + -41562917.7078636746938. Let c = y + 41562928. Let p = 22 - c. What is p rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 110*f**2 - 180*f - 31460. Give z(114).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 169643.2 rounded to the nearest 1000?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/8 - (-27)\/6. Suppose -g*n + 1 + 19 = 0. Suppose 2*k - 91 = -3*z + 3*k, n*z - 132 = 4*k. Is 20 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(684) + sqrt(684))*-3)**2 - sqrt(684).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -5*z + 1. Let v(u) = -5*u**3. Let c be v(1). List the prime factors of g(c).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30314316.\nAnswer: 2, 3, 61, 41413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31517834?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -13*l**2 - 3*l + 1. Let i be p(5). Is 4 + 41\/(-3)*(i + 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b**3 - 135*b**2 + 1461*b + 44. Calculate the remainder when 1176 is divided by i(-77).\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*i = -j - 373, j + 18 - 5 + 10 = -3*i for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 - g - 1. Let p(o) be the third derivative of -2*o**5\/15 - o**4\/8 - 2*o**3\/3 - 69*o**2 - 6*o. Give p(j) - 5*y(j).\nAnswer: -3*j**2 + 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9*v**4 + 27*v**2 - 2626.\nAnswer: -36*v**3 + 54*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 5*y - 4 = 0, s + 3*s - 5*y + 22 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-20)\/(-110) + (-282)\/(-22). Is 13 greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1.5, 0.5, -4, 2\/13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -600 divided by 200?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48 by 75.\nAnswer: -16\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -2, 3049, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 - 51*d - 41. Let b be r(-50). Suppose -5*f = -2*f + 6. Is f != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37907*f**2 - 39797*f**2 + 77706*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -9*(-4)\/(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x*x*x**2)\/x))\/((x**(-4\/11)*x)\/x*x))\/(x*x**(-1\/3)*x)**(-14) assuming x is positive.\nAnswer: x**(683\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**2 - 35*i - 8*i**4 + 83*i - 46*i in the form g + d*i**3 + w*i**2 + j*i + f*i**4 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3*t**2 + 10*t + 797. Let u(m) = 3*m**2 - 8*m - 788. Give -4*u(j) - 3*v(j).\nAnswer: -3*j**2 + 2*j + 761","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 10*c**3 - 3*c**2 + 3*c + 3. Let m(f) = -189*f**3 + 56*f**2 - 56*f - 56. Let x be 442\/8 + (-327)\/(-436). Determine x*j(b) + 3*m(b).\nAnswer: -7*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 1:57 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6118 is divided by 1002?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + -0.2. Let f = l + 0.2. Which is smaller: -3 or f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -473*z - 3*l = -470*z + 27, 4*z + 15 = -l for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1)\/(-2) - (-1308)\/24?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a kilometer in meters?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4581, -10928, -17275?\n\"Answer: -6347*l + 1766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7761, -15524, -23291, -31062, -38837, -46616?\nAnswer: -54399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**11\/((q*q*q*(q**23*q)\/q)\/q)*(q**(-43)\/q)\/((q*q*q*(q\/(q\/(q**(-7)\/q)))\/q)\/q) assuming q is positive.\nAnswer: q**(-51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -139432 by 2551.\nAnswer: -139432\/2551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 557*w - 558*w - 2 = -2*u, 3*u = 2*w + 3 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) - (-3*-1*sqrt(132) - sqrt(132)))\/(sqrt(36)\/sqrt(3)*3))**2.\nAnswer: 11\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 6*a = -141, 3*a = 868557*b - 868552*b - 90 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16 in 22, 1, 12, 0.3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 132936631039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 4*j**2 + 729*j + 175. Calculate q(-182).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1\/(-4))\/(-1))\/(185\/(-74)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from qqqkqdqdd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 314557?\nAnswer: 31, 73, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(35\/10)*(-52480)\/(-3280)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w - 4*w + 3*w + 79.\nAnswer: -w + 79","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -3*h + 1. Let r(i) = 6*i - 1. Determine 13*c(l) + 6*r(l).\nAnswer: -3*l + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - 0) + 287\/(-805)*45?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265975 <= 265463?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from {l: 6, n: 3, u: 3, o: 1}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**(-7\/2)\/d)*d*d*d**(1\/2))\/(d\/(d**(-1\/5)*d))**5)**9 assuming d is positive.\nAnswer: d**63","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 76 and 278?\nAnswer: 10564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddbbbdddmdbdb. Give prob of picking 2 b.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2271 divided by 10\nAnswer: -2271\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -l - 5*h + 1, -5 = -5*l - 5*h for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 79 = -29. Let h = -16 - 131. Is (-18)\/w*h\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*g + 3*o, -13*g - 141*o + 2 = -140*o - 10 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qql when three letters picked without replacement from {q: 6, l: 2}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (74\/8)\/((-12)\/48). Let o = q - -38. What is the highest common divisor of 1 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 28*m - 33*m. Suppose -432 = -m*j + 173. What is the greatest common divisor of 11 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2673300064?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -7 (c) 5078\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1345 + -555. What are the prime factors of g?\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*((z*z**(-3\/8))\/z)\/z)\/z**(8\/5) assuming z is positive.\nAnswer: z**(-79\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(396) + 0 + sqrt(396))*-1 + sqrt(396))*2)**2*5.\nAnswer: 7920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 7*p**2 - 2. Is x(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.81783 rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**5 + 2*d**5 - 2*d**5 + (-5*d**2 - 10*d + 10*d)*(-5*d**3 + 4*d**3 + 5*d**3).\nAnswer: -21*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h + 1. Let u(x) = -2*x**2 + 9*x**2 - 5*x**2 - x**2. Calculate l(u(v)).\nAnswer: 3*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -289 + 296. What is the highest common factor of 231 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-19 - -8) + 0 + 5 + 1 - -1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 + 7*c + 4. Suppose 3*s - 3*a + 21 = 0, -5 - 4 = s - 3*a. Calculate h(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x + 26 + 22 - 21. What are the prime factors of o(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3029939834?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of -w**6\/120 + 7*w**5\/60 - 7*w**4\/24 + 4*w**3\/3 + 2*w**2. Let v be 1 - 1 - (-9 - -3). Is f(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 38*y = 31*y + 22, 0 = 2*a - 4*y + 10 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/6*2700\/495*(-195)\/117?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*v + 2*z - 23, 1 = v + 5*z - 16 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 116543, 117017, 117491?\n\"Answer: 474*f + 116069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o = -10*o. Suppose 5*c + 4*x - 487 = o, -497 + 4 = -5*c - x. Is c a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - 6*c + 2. Let v be p(6). Let o(l) be the third derivative of 2*l**v + 0*l + 0 - 1\/120*l**5 - 1\/12*l**4 - 1\/3*l**3. Let o(r) = 0. What is r?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7886*h**2*u**2 - 22*h**2 + 3*h*u**3 - 22211025*u**3 wrt h?\nAnswer: 15772*h*u**2 - 44*h + 3*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 5*c - 75, -5*q = 2*c + 3 - 71. Suppose 0 = 2*j - 3*j + q. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (424 + (-6 - -4))\/(16\/40) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, h: 2, b: 5, d: 4, u: 4}. What is prob of sequence hb?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -18, 4, 19 in decreasing order.\nAnswer: 19, 5, 4, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*m**2 + 0*m**2 + 0*m**2)*(2*m + 2*m - 6*m) + (-3 + 4*m**2 + 3)*(-m + 0*m - m) to the form s + h*m**3 + v*m**2 + j*m and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 234.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90432 is divided by 44150?\nAnswer: 2132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -71961476*g**2 - 72917543?\nAnswer: -143922952*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 + -21. Suppose -1012 = -t*q - 2*f, 7*q = 2*q - 3*f + 1265. List the prime factors of q.\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.38221093 rounded to 1 dp?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001611067 to 7 decimal places.\nAnswer: -0.0000161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -354 - -4959\/14. Let q be 182\/8 - ((-42)\/24)\/7. Suppose 0 = q*o - 30*o. Which is bigger: o or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 746 + -601.5. What is l rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2458 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of -l**4\/24 + l**3\/6 - 14*l**2 - 2. Let v(m) = 5*m - 3. Determine -v(x) - 6*y(x).\nAnswer: x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(85)*-1)\/(sqrt(80)*1) - (sqrt(204) + 2*sqrt(204)*-1)\/(sqrt(84)\/(2*sqrt(7))).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 195?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30509 is divided by 30506?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104870.\nAnswer: 2, 5, 10487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 7*l**2 + 5*l + 15. Calculate the remainder when n(7) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(17) + -1 + 2*sqrt(17) - (sqrt(17) - -3*(sqrt(17) + 0))).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 8*s**2 - 4*s + 5. Let z(p) = 9*p**2 - 5*p + 5. Let b(n) = -5*t(n) + 4*z(n). Differentiate b(w) with respect to w.\nAnswer: -8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that d**2\/7 - 50710*d\/7 = 0.\nAnswer: 0, 50710","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r + 180 = -2*r. Suppose -9*o - 5269 = -r*o. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/165*-20)\/(186\/33)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27456.14um in millimeters?\nAnswer: 27.45614","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of -r**4\/8 + 2*r**3\/3 - 23*r**2. Let h be o(-3). Let i = -12 + h. Which is smaller: 14 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 19442, 38356, 57270, 76184, 95098?\n\"Answer: 18914*r + 528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 + -48. Let p = d - -30.00043. Round p to 5 dps.\nAnswer: 0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lklrrrllklrr. Give prob of sequence kk.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 116 (b) -1\/7 (c) -4\/7 (d) -4 (e) 1\/63 (f) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mb when two letters picked without replacement from {t: 5, b: 1, s: 1, m: 1, w: 4, d: 3}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 3*l - 3*q, l - 7*q + 9*q - 3 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-7)\/(-35))\/((-2946)\/10). Which is smaller: 1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**3*r)\/r*r**4*r**4\/r**4 assuming r is positive.\nAnswer: r**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 7*l**2 - 10*l - 10. Let f be t(-4). What are the prime factors of f*3\/(-6) - 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of c**2 + 0*c + 0*c**3 + 0*c**4 - 2 + 0*c**5 + 1\/6*c**6. Find the second derivative of l(n) wrt n.\nAnswer: 20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*l - 30. Sort l, 4, 3 in increasing order.\nAnswer: 3, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2299) + 1)*2 + 3*-2*sqrt(2299) - -6*(sqrt(2299) - (sqrt(2299) - -5*(sqrt(2299) + -1 + sqrt(2299))))) + 4)**2.\nAnswer: -50688*sqrt(19) + 9418000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/3)\/(((-15)\/3)\/15).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 6329*t**4 - 2*t**2 - 2*t**2 + t**3 + 6328*t**4 + 14*t in the form r*t**4 + h*t**3 + m + p*t + d*t**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -25) + (671 - 712) - -53?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.475 + -2.215. What is g rounded to one dp?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 287\/(-41) + (2262 - 1). Suppose -5*k - 7493 + d = -2*a, -a = -3*k - 2620. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) 0.15 (b) -0.5 (c) 1 (d) -1.6 (e) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -551*t**2 + 548*t**2 + 19*t**3 - 3 + 0*t**3 to the form i*t + j + v*t**3 + m*t**2 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 + (-14)\/6)*6 + 32. Suppose 18 = 9*i - y. Which is smaller: -0.03 or i?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23*i**2 + i + 1 - i**3 - 23*i**2 - 2*i**3 - 3 + 3 + 5*i**3 + 0*i**3 - 4*i**3 + (5 - 6 - 4)*(-3*i + 3*i + 7*i**3) + 3*i**2 - 3*i**2 - 2*i**3.\nAnswer: -39*i**3 + i + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 5*q**3 + 2*q**2 + q - 1. Let a(i) = 5002*i**2 - 5001*i**2 + 4*i**3 - 471 + 469. Give -3*a(y) + 2*h(y).\nAnswer: -2*y**3 + y**2 + 2*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 319001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/12, 3, 4.3292 in increasing order.\nAnswer: 1\/12, 3, 4.3292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 75, 3\/8, -267\/11, 4 in decreasing order.\nAnswer: 75, 4, 3\/8, -267\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 25 (c) 146993 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.379388 to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*o**2 + 33 - 12 - 2*o**2 - o**3 - 15 to m*o + x + f*o**3 + k*o**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48005, 96009, 144013, 192017, 240021?\nAnswer: 288025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101 (base 2) to base 15.\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31185?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1 + sqrt(242) + -1 + -4 + -1*(sqrt(242)*-1*-4 + sqrt(242)) + 5)**2.\nAnswer: -264*sqrt(2) + 3881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Is 12583095137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 + 2*q + 4. Let f(j) be the second derivative of -j**4\/3 + 4*j**3\/3 + 17*j**2\/2 - j - 2. What is 2*f(g) - 9*u(g)?\nAnswer: g**2 - 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 561151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 m when two letters picked without replacement from smmsv?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 515 + -504. Calculate the highest common factor of 352 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, 1, 270, 2, 4, -7 in decreasing order.\nAnswer: 270, 5, 4, 2, 1, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xvthtth. What is prob of sequence hxv?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6650 - -26347\/4. Let f = i - -63. Which is the nearest to 1? (a) 5 (b) -5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 81\/12 + -4 - 2\/(-8). Suppose 0 = -i*z + 29 + 37. Calculate the common denominator of (-1052)\/z + 448\/77 + -6 and -32\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 2308?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -3*i + 12, -7*c = 4*i - 5*c - 28. Let m be i\/22*(-48)\/(-18). Factor -50\/11*l**2 + 18\/11*l**3 + 24\/11*l + m.\nAnswer: 2*(l - 2)*(l - 1)*(9*l + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 195 by -5.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of 27*w**7\/7 - 29*w**4\/3 + w**2\/2 + 239*w. What is the third derivative of y(k) wrt k?\nAnswer: 9720*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + 0 + 0)*(-2*l + l - 6*l)*(-26 - 264366*l - l**2 + 264366*l).\nAnswer: 14*l**4 + 364*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 6*k + 2. Let v be c(4). Suppose 4*m - 772 = -28. Suppose m = 4*z - v. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 34*r - 41. Suppose 2*a - 44 = -46. Let t be (4 + a)\/(10\/(-4) - -3). What are the prime factors of n(t)?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -i + k + 43, -i - k = -21. Let s be (2506\/56)\/((-2)\/8). Let l = -83 - s. What is the greatest common factor of i and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -19394738*j*l - j + 78443*l - 94 wrt j.\nAnswer: -19394738*l - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 335*x**3*y**3 + 2*x**3*y**2 + 3*x**3 + 42*x**2*y**2 wrt y?\nAnswer: 2010*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 175 - 189. Let v be (5 - 1)*21\/p*-2. Suppose 4*k - 6 = k. Solve -5*t + k*t + v = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66211608?\nAnswer: 2, 3, 2758817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 65451168.696 - -32282.304. Let j = 65483327.999748 - m. Let o = j - -123. What is o rounded to 5 dps?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -127.4112917 rounded to 2 dps?\nAnswer: -127.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 4*s - 4*p, -11*s + 8*p + 13 = -2*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 306445793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -163 divided by -9\nAnswer: 163\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 1632?\nAnswer: 1636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-36)\/15)\/((-15)\/50). Suppose 0 = 4*l + 4*b - 28, 5*b + 21 = 4*l + 2*b. Let j = r + l. What are the prime factors of j?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246\/(-3)*4630\/(-9260)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.5, -1.7, 5\/4, -0.14.\nAnswer: -1.7, -0.14, 0.5, 5\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -28. Let i be 2 - (1 + -2 + 1 + -3). What is the greatest common divisor of o and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1742940 or 1742941?\nAnswer: 1742940","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 3*l - 74, -63*f + 2*l = -64*f + 12. Solve -f = -3*p - p + 4*s, 4*s = -p - 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-4)*(4 - -1). Let v = 5 + q. Which is smaller: -4\/7 or v?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 158 + (-12 - 151) + (-3 - (18 - 3))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -9*a**2 + 15*a + 20. Let k(y) = -4*y**2 + 8*y + 10. Let f(u) = 3*g(u) - 7*k(u). Let c be f(12). Factor p**2 - 2 + c*p - 4*p + 3*p.\nAnswer: (p - 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7008577 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 30509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1054936830?\nAnswer: 2, 3, 5, 35164561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 9*w - 25. What is d(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 23*w + 28*w + 8 = 0, -5*h = 3*w + 18. Sort -12, -11, 1, h.\nAnswer: -12, -11, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47213 divided by 362.\nAnswer: -47213\/362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 14468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 253555 (base 7) to base 14\nAnswer: 13165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43 + -38. Suppose 0 = 5*m - 25, m = -g*h - 0 + 10. Is h equal to -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -133.746.\nAnswer: -133.746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6560668 divided by -1640167.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -766222569*r**2 + 534440360*r.\nAnswer: -1532445138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of s**8\/6720 + s**7\/840 + s**6\/720 + s**5\/120 + s**4\/2 + s. Let j(x) be the third derivative of b(x). What is j(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 3 - -14 - ((11 - 37 - -12) + -11)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9774017*o**4 + 8858593*o?\nAnswer: 117288204*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46575 and 4600.\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 - 10*z + 7. Give t(-7).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 153059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -98*9.\nAnswer: -882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -62 - -98. Let g = 32 - t. Let d = -33 - -31. What is the third biggest value in 0.4, 4, d, g?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -v + 3*v, 5*q - 920 = 5*v. Suppose -3*a + 56 - q = 0. Let n be a\/(-90) - (-4)\/(-10). Which is bigger: n or -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1027495 is divided by 158?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -2*z + 3. Let k(q) = -q + 7. Let r be k(8). Let o be (z - 2) + r + 2. Solve o = -h - 8 + 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42405 and 46167?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 258? (a) 0 (b) 0.5 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 402 and 187131.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 243954 = 5*i, 184*o - 179*o = 4*i - 195216. What are the prime factors of i?\nAnswer: 2, 31, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kvs when three letters picked without replacement from sssvsvskskksk.\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**2 - 2310*x - 316728 = 0. What is x?\nAnswer: -996, -159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + 6*a - 1. Let w be p(6). Sort 0, 14, w in increasing order.\nAnswer: w, 0, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = s + 4*b - 13, b + 29 = 2*s. Calculate the highest common divisor of 112 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -243*f**3 - 4690*f**2 + 3025109*f wrt f?\nAnswer: -1458*f - 9380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -0.5, -0.2, -2\/11 in decreasing order.\nAnswer: -2\/11, -0.2, -1\/3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3*f + 7 = 0, r - 4*f - 24 = -0*f. Put -4, r, 2 in descending order.\nAnswer: r, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 522*g**2 + 23*g - 13. Is n(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3*u**3 - 172*u**2 - 6297*u + 362182. Give c(57).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v - 2*v**5 + v + (-2 - 2 + 3)*(2*v**5 + v**5 - v**5) + 0*v + 0*v - 2*v**5 - 17*v**5 + 78*v**5 - 43*v**5 - 2*v**5 + 0*v**5 + 4*v**5.\nAnswer: 14*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2*a = -3*a + 23, 3*b - 27 = -4*a. Suppose 0 = -4*z - b*w - 29, 3*z + 30 = -2*z - 5*w. Let j(p) = 5*p**2 + p + 2. Give j(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 13\/5 of a centimeter?\nAnswer: 26000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 + 118 = 5*p. Suppose 18 - 150 = -4*r. Let b be (5\/(-15))\/((-1)\/r). What is the greatest common factor of b and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/25 - (2 - 14\/10)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-6) + 2\/(-30). Let a = 1.4 + -1. Let r(l) = 4*l - 22. Let s be r(6). What is the nearest to 1 in s, m, a?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 297 = -43. Let z = t - 64. Calculate the remainder when 65 is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = -2*z + 14, -83 = -4*z + 3*r - 75 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13a + 1a058?\nAnswer: 1a193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a meter in centimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -5*b - 1. Give x(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1382*w**5 - 205056*w**3 + 11*w + 205056*w**3 - 2 + 23*w wrt w.\nAnswer: -27640*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16402 - 16604.29. Let y = 40 + -239. Let i = y - r. Round i to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 10:18 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, -1\/8, -57, 0.2, -0.02, 63, -1\/6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -123\/48314 and 67\/52.\nAnswer: 1256164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06374 + -7882.\nAnswer: -7882.06374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of -h**4\/3 + h**3\/6 - h**2 + 33*h. Let d(l) = l**2 - l + 1. Determine -2*d(u) - m(u).\nAnswer: 2*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -806, -1289, -1450, -1289, -806, -1, 1126?\nAnswer: 2575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 3:13 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**2\/4 + 23*n\/4 + 62 = 0. Calculate n.\nAnswer: -8, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1634514?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5*o = 33, -4*o = -2*m - 2*m + 52. Let u = 30 - m. Sort 3, u, 5 in descending order.\nAnswer: u, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 384 - 213. Let t = 256 - i. Is t a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -12 - 4\/9*t**2 - 4\/9*t - 4\/27*t**3. Factor n(a).\nAnswer: -4*(a + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - q + 8 = 0, 0*q + 3*q + 30 = -3*s. Let l(j) = j**3 + 10*j**2 + 10*j + 4. Let m be l(s). Let z(n) = -n**3 - 4*n**2 + n - n**2 + 0*n. Calculate z(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 17574 - 17578 = 0, 10*x - 2*l = 178 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 199 minutes after 7:24 AM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 3:21 AM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -82 + 126. Suppose -q + 4*r = -21, 2*q - 50 = -5*r + c. Suppose -q = -4*j + 87. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19986 divided by -1.\nAnswer: -19986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6649 take away -3?\nAnswer: 2.3351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3575?\nAnswer: 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122 is divided by 50.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -10915235061 to the nearest one hundred thousand.\nAnswer: -10915200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 683701771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -75 - -132. Let k = t - 63. Let f(o) = -4 + 7 - 2*o - 4*o. Let n(l) = -7*l + 4. Determine k*f(y) + 5*n(y).\nAnswer: y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6156 + -3383. Is l 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 1039465*a**3*t**2 - 6*a**3*t + a**2*t**4 - 9618*a + 4*t wrt t?\nAnswer: 2078930*a**3 + 12*a**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -335339 divided by 4.\nAnswer: -335339\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 4*x + 168. Let u be v(-42). Suppose -3*a**3 + 34*a + u - 22*a + 7 + 0 + 5 - 3*a**2 = 0. Calculate a.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 26*j - 1437. Determine l(55).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -48 - -34. Let z = 9 + w. Which is the nearest to 0? (a) 3\/4 (b) -1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -g + 12. Let c = 3 - g. Suppose 4*j + s - 4*s - 129 = 0, -3*j + 2*s + 97 = c. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v - 52*v = -2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 5 = 15, -4*m - 3*n = 0. Let c(k) = -5 + 5 + 1. Let w(p) = p**2 - p - 3. Let b(o) = m*c(o) + 3*w(o). Solve b(v) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -212*k**3 - 10*k. Let d(b) = -13462*b**3 - 636*b. Determine 5*d(s) - 318*l(s).\nAnswer: 106*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i - 27. Let z(r) = -r - 27. Suppose -12 + 0 = 3*s. Let f(y) = s*n(y) + 5*z(y). What is the tens digit of f(21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 0.06, -26, -3, 0.3, -0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -372 + 875. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3078) + sqrt(3078)*-2)*-4 - -1*sqrt(3078)*5)\/((sqrt(6)\/(sqrt(15)\/sqrt(5)) - sqrt(50)*-1)*-2).\nAnswer: -27*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2872566 and 1044?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34003 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39 - 41. Suppose 0 = -2*f - 2*f - 4. Let i = 2 - -2. Which is the closest to f? (a) i (b) 1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -522 or -517?\nAnswer: -517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 52*u**2 + 15*u - 5. Let y = -86 + 89. What is the tens digit of a(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 5*u**2 + 21*u + 40. Let y be n(-6). What is the second derivative of y*r**2 + 98*r + 31*r - 93*r**2 - 36*r - 106*r**4 wrt r?\nAnswer: -1272*r**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 482861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4175 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/(sqrt(320)\/sqrt(10))*6.\nAnswer: 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 u, 1 r, and 1 v when four letters picked without replacement from rurzvvuurrvrur.\nAnswer: 72\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4737572?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 13 = -q, -4*a = q - 0*q + 27. Let t(f) = -f**3 - 8*f**2 - 9*f - 8. What is t(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 + 41. Let i be 40\/7 - 4\/(-14). Let n = h + i. What is the greatest common factor of n and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5010266960?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*b**2 + 33*b**2 + 21*b**2.\nAnswer: 44*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/1700163 and -17\/240.\nAnswer: 136013040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 289008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9282 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 AM and 10:48 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-95) - 1920\/4560)*20\/(-352)?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -327*x - 2*x - 3948 = 0 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 284641 or 284644?\nAnswer: 284644","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -136, -182, -226, -268, -308, -346, -382?\n\"Answer: i**2 - 49*i - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-390)*4*-1\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1ab7 (base 16) in base 4?\nAnswer: 1222313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 14*o**5\/13 - 388*o**4\/13 - 2058*o**3\/13 + 4456*o**2\/13 - 1256*o\/13 - 768\/13 = 0.\nAnswer: -6, -2\/7, 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m**5\/7 - 45*m**3\/7 - 30*m**2\/7 + 180*m\/7 + 216\/7 = 0. Calculate m.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -336268 = -3541*y - 251284 for y.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -13*a**5\/60 - a**3\/2 + 9*a**2\/2 - 16. Let t(z) be the second derivative of f(z). What is the first derivative of t(j) wrt j?\nAnswer: -26*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -110*o**4 + 8*o**2 - 128*o + 2. Let b(j) = -110*j**4 + 10*j**2 - 128*j + 2. Let s(q) = 4*b(q) - 5*h(q). What is the second derivative of s(r) wrt r?\nAnswer: 1320*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23 + -10120123202?\nAnswer: -10120123113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 93.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + 2 - (2 + 8). Let s(q) = q + 16. Calculate the least common multiple of s(y) and (-8 - -5)*(-2)\/(-6) - -8.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 218*u + 76. Let a be d(17). Let n = a + -18362. What is n rounded to the nearest 1000?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -3*f**4 + 48*f**3 - 84*f**2 = 0.\nAnswer: 0, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -84978983?\nAnswer: 339915932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 716*o**3 + 7*o**2 - 80*o + 583. Is a(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 280749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/33 and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*a**3 + 0*a + 96\/7*a**2 + 0.\nAnswer: 2*a**2*(a + 48)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 + 4. Let x = j - -11. Let i = x + 3. Sort -4, -0.4, i in decreasing order.\nAnswer: -0.4, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 75 = -9*g. Calculate the common denominator of 11\/8 and (5 - 1) + 33\/g.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 3*m - 8 = 0, 3*m + 3 = -0*m. Put i, 0, 4 in descending order.\nAnswer: 4, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**5\/13 - 2*v**4\/13 + 18*v**3\/13 + 2*v**2\/13 - 40*v\/13 + 24\/13 = 0. What is v?\nAnswer: -3, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 141, 481, 1051, 1851, 2881?\nAnswer: 4141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -448364050 - -5.\nAnswer: -448364045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -d**5 + 2*d**4 + 16*d**3 - 2*d**2 - 15*d = 0.\nAnswer: -3, -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2009?\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of y**7\/525 - y**6\/150 + y**5\/150 - 5*y**2 + 2*y. Factor u(m).\nAnswer: 2*m**2*(m - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*y + 582 + 48. Calculate the least common multiple of y and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14*(25\/(-2))\/(-5). Calculate the highest common factor of t and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002389 to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 1. Let m be w*1 + (-3 - -1). Suppose m*y + 5*x = 56, 4*y + 3*x - 88 = -x. What is the greatest common divisor of y and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 18*j**3*o - 26*j**3 - 230233*j**2*o - 47476*j wrt o?\nAnswer: 18*j**3 - 230233*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 8, 1 in decreasing order.\nAnswer: 8, 5, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18 - 1*(-96)\/(-8). Solve -r*s + 12*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (83 - 144) + 37 + -48.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 406831 - 564161\nAnswer: -157330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 PM and 6:20 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 27*f - 39. What is x(-3)?\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.01 (b) -3 (c) -4\/7 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-16))\/((-1)\/20).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -6*a - 25. Let x be k(-5). Suppose 0 = 5*f - 3*s + 177 - 606, x*s + 351 = 4*f. Calculate the smallest common multiple of 4 and f.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16 - -71564.37.\nAnswer: 71548.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7068.\nAnswer: 2, 3, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in 3, 4, -4, 2\/7, 10?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2 + 1695*h - 48314.\nAnswer: -(h - 1666)*(h - 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 177*d**3 - 13*d**2 wrt d.\nAnswer: 1062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -3*o**2 - 3 - 3 + 6 + o. Let w(z) be the second derivative of -z**4\/6 + z**3\/6 - 2*z. What is -4*w(h) + 3*y(h)?\nAnswer: -h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 + -33. Which is the third smallest value? (a) -1 (b) 3 (c) q (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/44*12612\/5255?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1134 + -1098 + (-1 - -63) - 8?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - l - 2. Determine k(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (24\/40)\/(258\/60 - 4). Solve f = u*p + 6*f - 16, 3*p = -2*f + 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 11:28 PM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (114\/95*-2)\/(1\/15*(-171)\/76)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 144 and 3096?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 120541 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 215 divide 31820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r - 8. Let x be c(10). Let q(o) = 5 + 0 - 1 + 2*o - x. Calculate q(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2557*a**2*q - 4*a*q + q + 6745 with respect to a.\nAnswer: 5114*a*q - 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -145 + 143. Find the common denominator of 226\/45*3\/4 and (-5)\/(300\/(-395)) + (-10)\/f.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198460 smaller than 198460?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a kilogram in grams?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 370812 or 370814?\nAnswer: 370812","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -1468?\nAnswer: -146a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 159*j. Let r(n) = n**2 + 165*n. Calculate -4*r(p) + 3*v(p).\nAnswer: -4*p**2 - 183*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/q**(-8)))\/q*q\/(q*q**(-1))*q**(-2\/3)*q*q**(3\/2) assuming q is positive.\nAnswer: q**(-37\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 3. Let j be (-5)\/((-15)\/(-2))*h. Suppose 5*l - 26 + 0 = -3*t, -j*t + 5*l + 9 = 0. Solve f + t = -f - u, -1 = u for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 + -25. Let m(s) = 8*s**2 - x*s**2 - 2*s**2 + 6*s + 7. List the prime factors of m(5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13102332303 (base 4) to base 8.\nAnswer: 7227663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -14*g + 34*g - 12*g - 7*g. Let p(l) be the second derivative of -41*l**4\/12 + 2*l. What is p(k(r))?\nAnswer: -41*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*u**4 + 18\/7 - 48\/7*u + 44\/7*u**2 - 16\/7*u**3.\nAnswer: 2*(u - 3)**2*(u - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/3, -10, 390?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-714)\/1428*14\/4*1.\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2800 and 12335120.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5749?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 153436, 307253, 461070, 614887, 768704?\n\"Answer: 153817*f - 381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5 - (-198)\/30)*5. Solve 1 = -9*y + h*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dmmmmmmdm. What is prob of picking 1 d and 1 m?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 7*h**2 - 17*h - 26. Is o(8) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29 + -26. Suppose 2*u - x*u = 2. Let f be 8\/(-12) - (-15)\/(-9). Which is smaller: f or u?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -326*o**3 + 2 + 0*o - o + 324*o**3 - o in the form f*o**3 + v*o**2 + z*o + m and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -4*r - 20. What is the tens digit of w(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 1010011111000?\nAnswer: -1010011111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7416, 14835, 22254, 29673, 37092, 44511?\nAnswer: 51930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 - -6. Let t(q) = 31*q - c*q + 2*q**2. Let a(j) = 6*j**2. Calculate t(a(l)).\nAnswer: 72*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36064\/308 - (-1)\/(-11) is divided by 34.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3591 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 429932417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-6)*(-12)\/(-2)*2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 242715 minus -3.5?\nAnswer: 242718.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102\/(-4) + (51\/(-2))\/(849\/(-566)).\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r + 1. Let s(k) = -5*k + 3. Let h(b) = -3*b + 13. Let y be h(4). Let z(o) = y*s(o) - 3*l(o). Let p(g) = -g - 9*g - 2*g - 3*g. Determine p(z(w)).\nAnswer: 30*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88, -88, -86, -82, -76?\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 341244946?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 285, 220, 119, -12, -167, -340, -525?\nAnswer: -716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -7*s. Let v(m) = 4*m + 3. Let b(w) = -w - 1. Let f(l) = -3*b(l) - v(l). Calculate f(d(u)).\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 2*r - 115 = 0. Suppose -5*v = -r - 67. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.3 and -135.\nAnswer: -133.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8*1\/((-36)\/6))\/(1908\/54).\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqggqfqgqqqfqffqqqg. What is prob of picking 4 q?\nAnswer: 33\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -3829241 and -3829220 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 152549 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2523 - -2523.06332. What is v rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 508 greater than 513?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2 = -8. Is 9 a factor of 11 + (0 - t\/(-1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**1*s))**7\/(s\/(s**1*s))**45*(s*s\/s**(-2)*s**(2\/11))\/(s*(s**2\/s*s)\/s*s)**(-11) assuming s is positive.\nAnswer: s**(827\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1254 divided by -418?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11729 plus 15934?\nAnswer: 15934.11729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-114483)\/(-9) - (-4)\/((-24)\/2). Suppose -46*v + 42*v - p = 0. What is v rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b - 884 = -914 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 6*(sqrt(208) + 2*sqrt(208))**2 + sqrt(208) + (4 + sqrt(208) + -2)**2 + (3*sqrt(208)*-1)**2.\nAnswer: 20*sqrt(13) + 13317","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, 2, 0.1, -2\/5, -3, -969?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, a: 7}. What is prob of picking 1 f and 1 a?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/14 + (15 - 15)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-70914)\/(-1115) - 84\/(-35)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1416 a factor of 1153544075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000167039 to 7 decimal places.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 7 + 3)*(1 - 2 - 4)*(2*w + w**5 - 2*w).\nAnswer: 5*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/5 (b) -1 (c) -0.23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -8*a - 4. Let i(u) = -u**2 - u - 1. Let w(r) = r**2 - 4*r + 3. Let p(n) = -2*i(n) - w(n). Calculate the remainder when g(-6) is divided by p(-8).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -312 + 314. Solve -2*i = m - 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y**3 + 48*y**2 + 6*y + 102. Give n(-16).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 787124*s + 914173 wrt s.\nAnswer: 787124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xhbxxxh. What is prob of sequence bbbh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1053977?\nAnswer: 67, 15731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12485\/12485)\/((-26)\/18)?\nAnswer: -9\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g - 11. Let n be o(-11). What are the prime factors of n - (2 + -2 - 7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33726194.\nAnswer: 2, 89, 189473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1437?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 2*r**2 + r - 3. Let j be x(-2). Suppose 5*l + 14 = -q, -3*l + q + q = 11. Let m be (205\/l)\/(j\/(-300000)). Round m to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mssmmmmssmmmmmmsmmmm. Give prob of picking 2 m.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 26872296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tntnnnn. What is prob of sequence nt?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28296?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o**4 - 858*o**3 + 36205*o**2 - 55752*o = 0 for o.\nAnswer: 0, 8\/5, 69, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -736 + 24987*z**3 + 364 - 12488*z**3 - 12496*z**3 + 362.\nAnswer: 3*z**3 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 4 + 1)*(-a + 18 - 13 + 11)*(299 - 32*a**2 - 299) as o + w*a + u*a**2 + d*a**3 and give u.\nAnswer: 1024","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001777986 to 7 decimal places.\nAnswer: 0.0000178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -291*3056\/48*3\/(-3).\nAnswer: 97, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1308295847 to the nearest integer?\nAnswer: 1094","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -6 + (-7 - -7 - -8)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from blbbbbhlt. Give prob of picking 1 b and 1 t.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -g - 3, -4*g - 12 = -234*u + 240*u for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15040*g*l*w**2 - 482*g*w + 2849*l*w**2 - 37879*l wrt w?\nAnswer: 30080*g*l + 5698*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (15\/6)\/(25\/60). Factor f*h - h**2 - 2 - 3 + 2 - 2.\nAnswer: -(h - 5)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 72 - -98. Let o = u + 520. Let n be o\/20 - ((-1)\/(-2) - 0). Solve 0 = -3*p + 4*s - n - 1, 4*p = s - 25 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*((-4963)\/42 - (-2)\/4). Suppose 3*y - 23 = 3*j - k, -j + 118 = 3*y. Calculate the remainder when j is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 189\/24 + -4 - (-2)\/16. Suppose 0 = -5*k - 5*n, -b*k + 3 = -2*k + n. Suppose -k*t + 43 = 1. Solve -r + 8 = 5*i, -t = i - 0*i - 5*r for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1915*u**5 - u + 250.\nAnswer: -38300*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 2708*n - 2705*n + 0 - 2*n**4 + 3*n**3 + 2*n**2 to the form z + o*n**3 + q*n**2 + i*n + h*n**4 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(2)*3*-6 - (sqrt(20)\/sqrt(40) + (sqrt(18) - sqrt(288))).\nAnswer: -19*sqrt(2)\/2 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - 20*i - 63. Let o be d(-7). Suppose o*j - 29*j + 9 = 0. Put 5, j, -2 in descending order.\nAnswer: j, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 13*n**2 + 5)*(2 + 2*n - 2)*((1 - 1 + 2)*(0*n - 2*n - n) + 14*n + 11*n + 2*n).\nAnswer: -546*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*q + 20*k - 0*k - 17*k + 33 - 1, 0 = 3*q + 2*k + 29 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 22250 in 3, 1, -0.05?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-256)\/(-4)*((-75)\/(-6) + 10\/(-4)). Calculate the greatest common divisor of 100 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -181570 - -844325.03.\nAnswer: 662755.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -7197046 divided by 1?\nAnswer: -7197046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -139, -74, 102, 252 in decreasing order.\nAnswer: 252, 102, -74, -139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/(-9))\/((-2)\/9). Suppose 0*u + u = j. Let f be 11\/u - (-2)\/6. Solve -f*n - 13 = -0*a - 5*a, -4*n - 8 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-10)*26\/4004*-35.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -a**4\/3 + 8*a**3\/9 + 2*a**2 - 67. Factor d(n).\nAnswer: -4*n*(n - 3)*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.0563032 rounded to 3 dps?\nAnswer: -34.056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114 divided by 19.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4*y + 3738 = -2*p, 2964 = -4*y + 5*p. Is (-5)\/(35\/y) + 36\/(-63) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**2\/o**(-4\/7))\/(o**(2\/19)\/(o**(-6\/11)\/o)) assuming o is positive.\nAnswer: o**(1347\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121a6 (base 13) to base 5.\nAnswer: -2031020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7652 rounded to two dps?\nAnswer: 1.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 4 = 0, -3*y + 12 = 5*f + 19. Which is the nearest to 3.9? (a) 0.5 (b) y (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31.6 + -34.63. Let t = u - -2.9. Let b = -1.27 + t. What is b rounded to one decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/21)\/((-660)\/560).\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -89947 by -13.\nAnswer: 6919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 54588 and 947.\nAnswer: 51694836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 59414 and 463.\nAnswer: 27508682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 741\/26 + -25 - (1206\/156 + -5).\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(200))\/sqrt(10))\/(sqrt(256)*3)*-6.\nAnswer: sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3252, -3162, -3012, -2802?\nAnswer: -2532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 + 24\/8)*1\/(-3). Suppose 3*w + 16 + 8 = h. What is the remainder when (3 - (-37)\/(-5))\/(w\/40) is divided by 17?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 368731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*g - 4*g - 4*g**4 - g**2 + g**3 as a*g**2 + k*g + u*g**3 + m + s*g**4 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1b48a7b (base 13) to base 16\nAnswer: -8a02a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 6*o**2 - 4*o - 2. Give v(7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1967083.\nAnswer: 223, 8821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 103039 + -103030. Let w = -0.9 + -0.1. Let k be 2\/(-4) - (-4)\/10. Which is the closest to v? (a) k (b) w (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -299.7 - -123.6. What is l rounded to the nearest 10?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -97883.1 - -97883. Let k be ((-8)\/(-30))\/((-36)\/(-10)). What is the nearest to 0.2 in 0.2, c, k?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.4, 3, 1.2?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224 = -23*b + 62*b - 1687. Calculate the remainder when 145 is divided by b.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -5*a - 0*n + 45, -2*n = -10. Solve -7*v = -22 + a for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 + -9. Let l be 2\/f - (-45)\/(-35). List the prime factors of l\/((-10)\/4 - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j**2 + 4*j - 3. Calculate the remainder when 50 is divided by s(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, 1\/4, -0.5.\nAnswer: -0.5, 1\/4, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62363, -124775, -187187, -249599?\nAnswer: -312011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of -t**4\/3 + 4*t**3\/3 + 6*t**2. Let r(m) = -7*m + 7. Determine -6*q(i) + 7*r(i).\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3058998 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*d**3 - d**2 + d + 64*d**3 + 72*d**4 - 2*d**4 - 8*d**4 - 5 - 54*d**3 as n*d**2 + z*d + r + j*d**3 + x*d**4 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 3*z - 597 - 4425 = 0, 4*y = -4*z + 6720. Suppose 18*t = 11415 - y. Does 23 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 - 16*a + 6. Let i be (-222)\/14 + 3\/(-21). Let w be f(i). Solve 2*j - 4 = w for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 1 - 1, -18984 = -f - 3*w. Is f a multiple of 226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (117\/24)\/(-13) - 2\/(-16). Which is smaller: c or 3.9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2413 - -2409. Let c(x) = -x**3 + 4. Let b(r) = 3*r**3 - 9. Give o*b(d) - 9*c(d).\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 12*z**2 - 13*z - 5. Let x be g(-13). Let p(h) = -h**3 - 4*h**2 + 4*h - 3. Let m be p(x). What is m rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/383 and -42\/5.\nAnswer: 1915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d**2 + 75*d + 361. Suppose -3 - 34 = -o. Calculate the remainder when (-1 - -2)\/(1\/o) is divided by h(29).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -62, 1063436, 4 in ascending order.\nAnswer: -62, 4, 1063436","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 290321242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(19)*1*5 - (3*sqrt(133))\/sqrt(7)) + (sqrt(912)*1)\/(sqrt(12)*-6)).\nAnswer: 5*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 16*u + 30. Let y be w(15). Suppose 0 = -38*k + y*k - 798. Calculate the highest common factor of 19 and k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 2. Let l be 92 - (b - 3) - 4. What is the highest common factor of 18 and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(95) - sqrt(95))*4)\/(-6*(sqrt(5) + sqrt(5) + sqrt(5)*1)))**2 - (3 + ((sqrt(171)*1)\/sqrt(9))**2 + sqrt(19) + sqrt(133)\/sqrt(63)).\nAnswer: -1706\/81 - 4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 42, -13, 4, 2, -5 in descending order.\nAnswer: 42, 4, 2, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -8*s - 8. Let y(d) = -242*d**2. Calculate y(z(v)).\nAnswer: -15488*v**2 - 30976*v - 15488","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -328, 4, 0 in decreasing order.\nAnswer: 4, 0, -4, -328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1634 = -11*f + 599. Let a = -173 + f. Solve -34 = -2*w - a for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/(-2)*2\/7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/10*1\/4. Let u = 4\/5 - n. Let o = 0.1 + -0.2. Sort o, 2\/7, u in ascending order.\nAnswer: o, 2\/7, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r - 4, 17*u + 8*r = 14*u + 3*u - 5*u + 2 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2139 = 23*k - 16054. Calculate the remainder when k is divided by 138.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ius when three letters picked without replacement from {w: 6, i: 2, u: 1, l: 3, s: 2, v: 5}?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*p - 2*p - 4*t, p + 3*t = 0. Which is greater: -1\/10 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4139 is divided by 25.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 6*p - y - 325 = 0, 2*y = 10. Let l be p\/3*1\/2. Let v = -6 + l. Let m(z) = -z**3 + 4*z**2 + 5*z - 1. Determine m(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165823039 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.08? (a) -25 (b) 5\/3 (c) 5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 633*b + 7*p = 628*b - 85, 0 = -2*b + p + 23 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -156e40 (base 16) in base 5?\nAnswer: -324420410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 239772971 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 55553 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 t(l) be the second derivative of -l**5\/20 + l**4\/2 + l**3 + 5*l**2 - 39*l. Calculate t(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 314 divide 2128991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 21 + 18 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5\/27 - 115\/108. Which is the smallest value? (a) -0.3 (b) -4 (c) h (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28335 divided by 1.\nAnswer: 28335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 6:37 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 81839 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kkkkoakkko.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -435 + 429 + 1 + (-2 - -2 - -31)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 7, a: 1, s: 3, n: 1}. What is prob of sequence esas?\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = 2*p + 48, 94*p - 93*p - 5*k - 36 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**4\/4 - 7510*z**3 - 15021*z**2\/2 + 7510*z + 30041\/4 = 0. What is z?\nAnswer: -1, 1, 30041","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 6*d - 2*h - 41 = 0, -3*d - 5*h - 120 = 0. Let o be ((d\/(-91))\/(-5))\/(-1). Which is the nearest to -2\/3? (a) 5 (b) o (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(130) - (-1*sqrt(130) - sqrt(130))*-1) + sqrt(130))*5)\/(-5*(sqrt(360) + sqrt(360)*-4 + sqrt(360) + sqrt(10))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of f**8\/6720 - f**5\/30 + f**4 + 104*f**2. Let q(n) be the second derivative of g(n). Give q(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 521930.\nAnswer: 2, 5, 19, 41, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2809, 5508, 8207, 10906?\nAnswer: 13605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.09, -0.06, 13, 1\/13, -1\/5 in decreasing order.\nAnswer: 13, 0.09, 1\/13, -0.06, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 10:37 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15779*f**5 - 91578*f wrt f?\nAnswer: 315580*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 312165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1821, -3592, -5373, -7170, -8989, -10836, -12717, -14638?\n\"Answer: -w**3 + w**2 - 1767*w - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -700 + 0 = -5*k. Is 28 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = 5*f + 40, -9*f + 35 = -12*f + 4*j for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(2057) + (sqrt(2057) - (-4 + sqrt(2057))) + 1 + sqrt(2057))**2 + 5 + (-4 + sqrt(1700))**2 + -3.\nAnswer: 140*sqrt(17) + 9969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -222 - (-15829 - -15713)?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 575 less than -446617?\nAnswer: -447192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38\/3 + (-109)\/((-14388)\/704).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of -3*q**3 + 14*q. Let r(f) be the third derivative of f**4\/12 + 4*f**2. What is r(x(l))?\nAnswer: -36*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/6)\/(84\/(-54)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4 = -4*y + 1, -4*l = 2*y - 4. Suppose x - 6*x - 10 = 0. Let d be x + (-12)\/(-3) - 0. Sort d, y, -4 in increasing order.\nAnswer: -4, y, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - -3) + (-3 - -7) + -2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -1\/2 (c) -26342\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*y**2 + 3*y**2 - 5*y**3 + 7*y**3)*(5 - 3 - 11) - 4*y**3 + 6*y**3 - y**3.\nAnswer: -17*y**3 - 216*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 476*d - 243*d - 281*d.\nAnswer: -48*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4873257.9 seconds?\nAnswer: 1353.68275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10235227 + 10235227 - 2*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*g**2*x**3 + 9724*g**2*x - 5*g**2 - 163691*g*x**3 + 2*g*x + g + x wrt x?\nAnswer: 102*g**2*x - 982146*g*x","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 2:50 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1397*c**2 - 478*c**2 - 461*c**2 - 456*c**2.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -176*a**3 + 9*a**3 - 259*a**3 - 305*a**3.\nAnswer: -731*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1592479484 from 240.\nAnswer: 1592479724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 7*l + 4. Let i(q) = 4*q - 1. Let s be i(l). Let d = s - -1. What is the third smallest value in -0.5, 1\/9, d?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 5*r + 3 = 0, -6*r - 6 = -g - 4*r for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of -43*b**4\/24 - b**3 + 142*b**2 - 16. Let o(r) = 42*r + 5. Give -4*o(w) - 3*s(w).\nAnswer: -39*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ps when two letters picked without replacement from sprrd.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - 36 - (-14 - 8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 14de8c - 2?\nAnswer: 14de8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 3, 313, -0.5.\nAnswer: -0.5, -0.4, 3, 313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3840117?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 4*f**2 + 126*f + 20*f**2 + 4*f**3 - 90*f = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -6 + -2 + 2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -707*s - 5*s**4 - 7*s**2 + 707*s wrt s.\nAnswer: -120*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7 - (-1957)\/(-285)) + 6\/(-45). Determine b, given that -2\/3*b**3 - 2\/3*b**4 + 0*b**2 + 0*b + s = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-26)\/y**10 assuming y is positive.\nAnswer: y**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3064168559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 0*m. Suppose m = -4*p + 12, 3*u + 12 = p + 3*p. Suppose u*v - 265 = -5*v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.05 and -236.\nAnswer: 11.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010 (base 2) in base 6?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -1267\nAnswer: -5\/1267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 6*d = -12. Let c be (-1 + -9)*25\/(-10). Suppose 5*r - c = 5*b, d*b - 14 = -4*r + 2*b. Solve -2*p - 4*j = -r*p + 14, -j = 5*p - 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 12, n: 7, p: 1}. Give prob of picking 2 s and 2 n.\nAnswer: 462\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.1178 - 2.1178. What is the nearest to -0.1 in -1, d, -91?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -346, -1, 5, 4 in descending order.\nAnswer: 5, 4, -1, -346","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.15, 46, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -100*o - 28. Let a be k(-1). Let u be (2 - 2) + (-102)\/(-2). Let g = a - u. List the prime factors of g.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 7:24 AM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -96*d**3 - 41 - 4*d**2 + 53*d**3 - 23*d**2 + 40*d + 45*d**3. Calculate y(12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -200 and 1.16438?\nAnswer: 201.16438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 179 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 10475 + f - 10463 - 3*f. Determine d(11).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 3. Let q(t) = -2 + 1 + p - 20*t - 3. Is q(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 0.074 (c) 5\/2 (d) 0.4 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -264*f**3 - 4*f**2. Let m(l) = -791*l**3 - 10*l**2. Calculate -3*m(c) + 8*v(c).\nAnswer: 261*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18530 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -3692361.3?\nAnswer: -18461806.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 11:27 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 59*y**2 - 9*y + 8. What are the prime factors of u(7)?\nAnswer: 2, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5594894, 11189836, 16784778, 22379720, 27974662?\nAnswer: 33569604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 504*l**3 + 1052*l**2 + 84*l - 8.\nAnswer: 4*(l + 2)*(7*l + 1)*(18*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -8547 times 7.5?\nAnswer: -64102.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 73097672 or 73097663?\nAnswer: 73097672","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 32 times 0.124\nAnswer: 3.968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 2. Suppose -3*y = -4*y + 4*t - 16, -3*y = -2*t - 2. Let h(k) = 3 + 14*k - y - 7*k. What is h(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 546*d**2 - 232*d**2 + d - 311*d**2 - d.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2\/7, -4, -3.4 in ascending order.\nAnswer: -4, -3.4, 2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-706638 + 706638 - 2*t**2 + 1320*t)*(-1 + 1 - t**3).\nAnswer: 2*t**5 - 1320*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 227016 and 795?\nAnswer: 60159240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*l = -5*l + 12 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -9*q + 103. Determine a(5).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**2 + n**2 + 3*n**2 - 1. Let d be w(1). Suppose -3 = 4*y + 2*v - 1, -4*y - 3*v - 7 = 0. Which is the third biggest value? (a) -1\/2 (b) d (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1660447 is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-445)\/(-55) - 9\/99. Calculate the greatest common factor of r and 416.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 68670581?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -40 + 137. Calculate the remainder when n is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 + 10 - 11)*(2*f**2 + 3*f**2 - 4*f**2) + 6 - 6 + f**2.\nAnswer: -26*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 538 or 537?\nAnswer: 538","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-3) + (-2)\/(0 - -1). Let h be 48*((-625)\/(-15) - w). Suppose o - 6472 = -3*b, b + o + 2*o - h = 0. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = q + 3*x, -2*x + 2 - 7 = q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n + 0*n - 13*n.\nAnswer: -13*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/117261 (b) 0 (c) -8 (d) 33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 81545 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5423.25*15.\nAnswer: 81348.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - (-24)\/14 - (-156)\/(-42). Let s be (-3)\/l*10*2. Solve 0 = -0*n + 5*n + s for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 4272 = 3*k, 3*r + 8686 = 2*k + 2283. Is (2\/3)\/((-18)\/r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 3*n - 213656 - 2*n - 6585 - 479759. Let t(f) = f**2 - 2*f + 1. Let c be t(1). Let w be l(c). Round w to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q**2 - 2*q**2 - q**2)*(1 - 2*q - 1)*(3*q**2 + 15*q**2 + 0*q**2).\nAnswer: -72*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9180 + 9182.4. Which is the closest to 0.2? (a) i (b) 5 (c) -9\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/(-15))\/(2 + 364\/(-180)). Suppose 0 = -4*t + t + 4*x + 452, 5*t + x = 715. What is the highest common factor of t and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7117951 to the nearest integer?\nAnswer: 2668","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j + 6. Let i be u(5). Let n = i - -2. Sort 0, 1, n in descending order.\nAnswer: n, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 8*i**3 - 636*i**2 + 217*i + 7825. Determine w(79).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - 2)\/(1 + -3). Let x = j - -7. What is the third derivative of 0*m**2 - 6*m**2 + 3*m**2 - x*m**6 + 6*m**6 wrt m?\nAnswer: -360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2133385.\nAnswer: 5, 29, 14713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 22 = -2*u - d, 4 = 2*d. Suppose 4*o - c - 13 = 0, 3*o - c - 8 = -2*c. Suppose o*l - l = u. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-50481)\/(-2295) + -22)\/(4\/205) and 193\/1020?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 68\/(-51)*-9 - 7. Solve 8*f + u = -19 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -134*a - 221*a + 75*a + (1 - 1 - 1)*(2 + 1 - 2)*(3*a + a - 2*a).\nAnswer: -282*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/((l\/(l**(-3\/38)\/l*l*l*l))\/l))\/(l\/(l**(41\/2)*l)*l))**(-20))**(10\/9) assuming l is positive.\nAnswer: l**(-28400\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 9.5 (b) -4\/7 (c) -1 (d) -1\/3 (e) 52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 2*d**2 - d + 52. Let i be m(0). Let j = i - 50. Put j, -4, -28 in decreasing order.\nAnswer: j, -4, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -15, -15, -3, 27, 81?\nAnswer: 165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by -266.\nAnswer: 9\/266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-11))\/(149\/231099*141).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30 - (0 - 3)) + (-30 - (-13 + -7)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 230\/23*(-9)\/(-6). Solve c*r - 18*r - 12 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (-16 - -3 - 9)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 428.1 - 427.8. Which is the nearest to 36? (a) -1\/7 (b) -3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -57253584 - -57253416.0000064. Let w = 168 + n. Round w to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1692130730?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z + 5. Let k(d) = -1. Let v(f) = -5*k(f) - s(f). Let a(c) = -22*c. What is a(v(t))?\nAnswer: -22*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k**2 - k + 1. Let d be u(1). Let v = 32 - 0. Let q be -3 + v\/28*d. Is q greater than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -13*x**2. Let h(c) = 3375*c. Determine h(t(k)).\nAnswer: -43875*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 56 = 60. Let l be -204690 + (n - 6) - 1*2. What is l rounded to the nearest 10000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.013, -4, -0.1, -0.07, -1?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.77836 minus 36?\nAnswer: -36.77836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -253536 * 4\nAnswer: -1014144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 66*s**2 + 587 - 587 + (8 + 4 - 2)*(4 + 2*s**2 - 4) - 3*s + 3*s - s**2 + 20*s - 20*s - 2*s**2 in the form h*s + d + t*s**2 and give t.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 21117271831 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 - -17a277?\nAnswer: 17a283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150*p + 68*p**2 - 1208*p + 1 - 70*p**2.\nAnswer: -2*p**2 - 1058*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7*240\/2240)\/((-2)\/32).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - g**2 - 1 + (g**2 + 0*g**2 + g**2)*(1 + 0 + 0) + 0*g**2 + 0*g**2 + g**2 - 4*g + g**2 + 4*g - 1492 + 1492 + 165*g**2 - 4*g**2 + 0*g**2 + 3*g**2.\nAnswer: 167*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, j: 4}. Give prob of picking 2 f.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 498831373?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 28*l**2. Let o(a) = 11502078*a. Give h(o(w)).\nAnswer: 3704338352906352*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, z: 7}. Give prob of sequence zzzz.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -6*s**2 + 12*s - s**3 - 8 + 4*s + 5*s**2 - 15*s. Let h be b(-3). Solve -u + h*u = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19621 divided by 4?\nAnswer: 19621\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3383922499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124 is divided by 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from ggbfbfgfgcfff?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 9\/469, 3, -7, 4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 178181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 218 and 121535.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9.36 - -9.35569. Round s to 4 decimal places.\nAnswer: -0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1028095 is divided by 447?\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2011 + 3665541?\nAnswer: 4000552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(468) - sqrt(468))*1*-6 - (-4 + (sqrt(468) + sqrt(468)*1)*1))**2.\nAnswer: 480*sqrt(13) + 46816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + p + 2. Let x be i(0). Let c(f) = 6*f + 41 - 24*f**3 - 22 + 25*f**3 + 38 + 4*f**2. Let k be c(-5). Solve k*v + x = o + 8, 2*v = -2*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 11*j. Let c(q) = 3*q**2 - 5*q. Let m(u) = -17*u - 2*u**2 + 56*u - 17*u - 19*u. Let x be -3 - 3\/(3\/2). Let n(o) = x*m(o) - 3*c(o). Give n(y(r)).\nAnswer: 121*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**3 - 7*y**2 + 7*y - 60. Let f(l) = -l**3 + 5*l**2 - 5*l + 40. Give -7*f(o) - 5*q(o).\nAnswer: -3*o**3 + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -6*p**2 - p - 2*p**3 + 3*p**3 - 2*p + 7. Determine r(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -1\/6 (b) -2\/9 (c) -5\/2 (d) -5 (e) -4 (f) -9\/19 (g) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10 - 812?\nAnswer: -802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51267073?\nAnswer: 11, 13, 19, 18869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 2062.\nAnswer: 6186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3 + 227*w**2 - 10360*w + 134064.\nAnswer: -(w - 171)*(w - 28)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/2, 39, -0.5, 2.68, -1.7, 1.4?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001566558883 rounded to six dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 480152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 33760 + 3.\nAnswer: 33763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 43511579 to the nearest integer?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*r + 35*r + 2*i - 80, i = -2*r + 33. Solve r*w = 15*w + 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-47)\/(-3) + (-2)\/(-6). Let b be 3 - 1\/(3\/(-3)). Solve 0 = 2*c - 5*g + v, -5*g + b + 18 = c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -228*m + 289*m = 25620. What is the highest common divisor of 150 and m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -21 - (124 + -125).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 - -14?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 1. Let f(t) = 3*t + 9. Let p(j) = -j - 2. Let u = 3 - -6. Determine i*f(l) + u*p(l).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of 0*q**3 + 0*q**2 - 1\/30*q**4 + 1\/50*q**5 - 1\/105*q**7 + 1\/75*q**6 + 26*q + 0. Determine v so that u(v) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-53)\/1*1\/(-1). Suppose -2*z = -7*z. Suppose z = 3*w - 5*g - b, -g + 2*g = 3*w - 37. List the prime factors of w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 11651988\nAnswer: -5\/11651988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 20671, 41460, 62249, 83038?\n\"Answer: 20789*g - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8419954 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of c**4\/2 + c**3 + c**2\/2 - c + 9. Calculate y(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 0 + 0 + (-1 + 0 + 3)*(-h + 3*h + 0*h) + 2*h - 1 + 1 - 18*h + 17 - 17)*(3*h**2 + 2*h**3 - 3*h**2).\nAnswer: -28*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 1 - (43 - 54).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tptptttt. What is prob of picking 2 p?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41 + 41 + 980*v**2.\nAnswer: 980*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 11:42 AM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 114643203 to the nearest integer?\nAnswer: 10707","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*c**2 + 0*c**2 + 4*c**2 + 10 - 7*c**2 to v*c + i + p*c**2 and give i.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/4347954 and 22\/639405?\nAnswer: 21739770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24967 - 24972. Let c(k) = 4*k**3 + 4*k**2 - 7. Let g(o) = 4 + 0*o**2 - o**2 - 3 - o**3. What is u*g(s) - c(s)?\nAnswer: s**3 + s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1630, 1629, 1628?\n\"Answer: -y + 1631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-15) + 0 + (-84325)\/(-375). Let f = -225 + g. Solve f = -10*r + 11*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence esw when three letters picked without replacement from dserrwssssesssdsrsss?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 0, 40195?\nAnswer: 40195","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4*n + 8*n = 137, -i = 2*n + 125. Let h = -88 - i. Is h a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -6 + 13 + 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2432 + 8962. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 860 a factor of 4053180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-9) - (-435)\/(-1044)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of 2*i**3 - 15*i**2\/2 + 6*i - 9. Find n such that s(n) = 0.\nAnswer: 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 42 + -41.83. Let x = 0.14 - b. Let o = -0.0238 - x. What is o rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -760\/3*b - 2\/3*b**2 - 72200\/3.\nAnswer: -2*(b + 190)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 25\/(-15) + (-608)\/(-12). Suppose -46*r - 12 = -q*r. Suppose r - 3 = u. Solve -4*m = 9 - u for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, j: 2, y: 2, t: 2, o: 1, n: 3}. What is prob of sequence yd?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39 + 73. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/3*(-18)\/48?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*g - 3218 + 14978. What is the remainder when g is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -5*y, 6 = -2*c - 4. Suppose s + 4*s - 3*z + 3 = 0, y*z = 2. Suppose s = 4*a + a - 60. What is the remainder when 35 is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -1 in decreasing order.\nAnswer: 5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, -10, 4, -1\/2 in increasing order.\nAnswer: -10, -1\/2, 4, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -99 - -92. What is the smallest value in 12, g, 0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.0625 + -1.9525. Which is smaller: -0.0433 or b?\nAnswer: -0.0433","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.3 (b) -1\/4 (c) 16 (d) -158714 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*f + 93*f - 144*f**2 - 8*f.\nAnswer: -144*f**2 - 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36621 - -62415. Let d be -5 - -1 - o - 2. Round d to the nearest one thousand.\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2174 divided by -356.\nAnswer: 1087\/178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -113 + 513. Suppose 0 = -4*z + v - 16. Calculate the lowest common multiple of z and 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2072 - 9?\nAnswer: -207b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 322768063?\nAnswer: 31, 10411873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -2*n + 3*n - 12, -2*n + 3*i - 4 = 0. Suppose -n*b - 32 = -2*k - 2*k, 0 = -k + 3*b + 10. Calculate the remainder when k is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5784? (a) -5 (b) -6 (c) -0.1 (d) -54\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 709709115?\nAnswer: 3, 5, 17, 2783173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 165 and 4755470445?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -191, -727, -1621, -2873, -4483, -6451, -8777?\nAnswer: -11461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2515809 take away -32087?\nAnswer: -2483722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/7209 or 0.3895?\nAnswer: -2\/7209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v + 3. Let d(y) = 2*y + 4. Give 5*d(n) - 7*i(n).\nAnswer: 3*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1298?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 5 (b) 40069.9 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-16866)\/(-159) - (-12)\/(-159)\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56.63086 millilitres to litres.\nAnswer: 0.05663086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 236 - 117 + 2*k**2 + 1413*k - 132 - 1385*k to the form b + c*k + g*k**2 and give b.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 988, 2002, 3006, 3994, 4960, 5898, 6802, 7666?\n\"Answer: -o**3 + o**2 + 1018*o - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 145624 divided by -109?\nAnswer: -1336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v + 18. Let i be p(0). Suppose i = u + 2*u. Calculate the remainder when 22 is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176 = 7*w - 1098. Suppose 3*d - 4*x - 233 = -2*d, 4*d - x = w. Let s = d - -84. What are the prime factors of s?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 1\/5 (c) -0.1 (d) -464948\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6776 and 224.\nAnswer: 27104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -631\nAnswer: 1\/631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 120 and 45801000.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 413 - 266. What is the remainder when p is divided by (-9)\/(-12) + (3611\/92 - 3)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 3 + -49 + 26?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -61388 (base 15) to base 7\nAnswer: -2421515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1446128 and 361532?\nAnswer: 1446128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 3*t + 3*n, 2*t - 1425 + 1423 = -3*n for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -27\/5*t**2 + 0 + 13\/5*t**4 + 2\/5*t + 12\/5*t**3 = 0.\nAnswer: -2, 0, 1\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + s = 115 + 205, 5*s = 3*o - 192. What is the greatest common divisor of 160 and o?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/1226832 and 17\/103074.\nAnswer: 50300112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -100624, -100673, -100722, -100771?\nAnswer: -100820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3 - 1018*j**2 + 41572*j.\nAnswer: -2*j*(j - 38)*(j + 547)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -12*(0 - (0 - 12\/(-8))).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 8 + 15 + -5 + -39?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3542 - -6215. Calculate the highest common factor of 198 and m.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 18472.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**4 + 0*l**4 - 4*l**4)*(8 + 10 - 6 + (-1 - 6 + 2)*(-2 + 4 - 1) - 1 - 2 + 1)*(-l - 3*l + l).\nAnswer: 30*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 733882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 divided by -48?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/7 of a week in minutes?\nAnswer: 73440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (51\/2)\/17 - 3\/(-2). Suppose 2*j - 29 = 25. Suppose s - 4*s = -j. Solve -m*x - 2*h - 2*h = 11, -4*h = x + s for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1916682032?\nAnswer: 2, 199, 523, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19376.\nAnswer: 2, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 915 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/10 - (-2)\/10. Suppose -t + 5 - 2 = j. Let p be (1 + -2)\/1 - (0 + -3). Solve p*d = -d + t for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1091, 4407, 9935, 17675, 27627, 39791, 54167?\nAnswer: 70755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 910 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 r(x) = -x**3 + 6*x**2 - 3*x + 1. Let f(z) = 4*z**3 - 24*z**2 + 12*z - 4. Let q(n) = 2*f(n) + 9*r(n). What is q(5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3*t**2. Suppose -4*w - 5*q + 68 = 0, -2*w + 28 = -0*w + q. Let k(n) = -2. Let l(b) = 18*b + 24. Let d(f) = w*k(f) + l(f). What is d(y(p))?\nAnswer: -54*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -553.5831 + 4602.6049. Let f = 4086.02 - p. Let w = 37 - f. Round w to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 85.118\nAnswer: -340.472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -9, 5, 45, 123, 251, 441, 705?\n\"Answer: 2*p**3 + p**2 - 3*p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10766112 divided by -59?\nAnswer: -10766112\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -134*f**2 + 2. Let d(t) = t**2. What is d(r(q))?\nAnswer: 17956*q**4 - 536*q**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 8*j**2 - 30*j - 51. Let t(l) = 7*l + 56. Let u be t(-9). Let s be v(u). Calculate the greatest common factor of 38 and s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34671, -1, 2 in descending order.\nAnswer: 2, -1, -34671","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34413134.\nAnswer: 2, 7, 17, 144593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1823 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: Which is the smallest value? (a) 1.6 (b) 56 (c) 1\/3 (d) 3 (e) -2 (f) 145\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - a**2 + 5*a + 3. Let s(t) = -t**3 + t**2 - 6*t - 3. Give -5*s(k) - 6*x(k).\nAnswer: -k**3 + k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 + 7. Let b = w + 23. Suppose 0 = -0*c - 4*c + b. Solve 3*p + 0*p - 5*i = 5, c = 3*p - 2*i for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of -35*m**6\/24 + 11*m**3\/2 + 96*m**2 + m. What is the derivative of o(t) wrt t?\nAnswer: -525*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 4\/5*y**2 - 24*y.\nAnswer: -4*y*(y + 30)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**3 - 3*a**3 - 4*a**3 + (-a**3 + 0*a**3 + 0*a**3)*(4 + 3 - 6) - 13*a**3 - 9*a**3 + 14*a**3 + (-2*a**3 + 4*a**3 - a**3)*(-1 + 3 + 1).\nAnswer: -14*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-1647)\/37576*22*-112\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1240 divide 107979670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3203925.\nAnswer: 3, 5, 42719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-271)\/(711375\/(-1250)))\/((5\/6)\/1).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.174 - 0.388079?\nAnswer: -13.562079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9428 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 95 + 151. What is the remainder when f is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 2*w + 8*w = -3*z + w - 10, -10 = 5*w for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/1*(-11 + 9). Suppose 2*g + 11 = -v - 43, 2*v - y = 0. Let p = -26 - g. Solve p*b - 9 = -5*o, -3 = 2*b - 2*o + 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3526.15302 to one decimal place.\nAnswer: -3526.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -36304 or -36302?\nAnswer: -36302","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/8 and 53\/2106?\nAnswer: 8424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2512, 5893, 9498, 13321, 17356?\nAnswer: 21597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1297595 + -0.4?\nAnswer: 0.7297595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 749 + -846 + -1 + -2 + 2 + -2?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1111110011100 (base 2) to base 4\nAnswer: -1332130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 97128083 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 249? (a) 4 (b) -0.02 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pupuuuuuupuu. What is prob of picking 2 p and 1 u?\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - 39*l - 19102. Determine f(160).\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21256603 to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 6:26 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**4 - z**2 + 2 + 8358*z + 3*z**2 - 8356*z - 27*z**3 in the form i*z**2 + d*z**3 + f + r*z + l*z**4 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 152914, 305828, 458740, 611650, 764558?\nAnswer: 917464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101110000 + -10001011010000?\nAnswer: -10000101100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-255)\/(-18)*(32\/(-160))\/(5\/5)\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7841, -31350, -70533, -125390, -195921?\nAnswer: -282126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3495, 3493, 3491?\nAnswer: 3489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2968 - 5601. Let l = 4029 + r. List the prime factors of l.\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161423*k + 161419*k + 5*q + 23 = 0, -5*q - 15 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2*s**2 - 5 - 1 + (-3*s - 2*s + 7*s)*(-3 + 3 + 2*s) + 10*s**2 - 18*s**2 + 10*s**2.\nAnswer: 4*s**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 4*m - 122 = 38, 0 = 4*w + 4*m - 152. Suppose -2*x + 4 = -16. Calculate the remainder when w is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 24\/(-3) + 2 + (-252)\/(-240) and -139\/60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 + -26. Solve 1\/2*l - 2*l**p + 0 + 1\/2*l**5 - 2*l**2 + 3*l**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gcoxcagcagaagcuacaua. What is prob of picking 1 x and 1 a?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of -7*x**4\/12 - 3*x**3\/2 + 5*x**2\/2 + 65*x + 5. Let y(s) = -11*s**2 - 14*s + 8. Determine -8*j(r) + 5*y(r).\nAnswer: r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5*z - 4)*(3 - 3 + 3*z)*(18*z - z + 14*z).\nAnswer: -465*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 538451579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -495969, -1983845, -4463639, -7935351, -12398981, -17854529?\n\"Answer: -495959*a**2 + a - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -155 - -592. Does 16 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 1100000000000?\nAnswer: -1011111111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does -1547 = -1551?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do -14793 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*r + 66 - 325 = 116 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85350 = 1112*z - 26414 for z.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6007 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 70 + (4 - (-2)\/((-4)\/10)). Suppose 272 = y - h. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**2 + 40 - 2*u**2 - 54 to n*u**2 + s + c*u and give s.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 535132 to the nearest integer?\nAnswer: 732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 3*w - 5. Let p = 40 + 5. What is the highest common factor of w and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -29.82491 to 2 decimal places.\nAnswer: -29.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of -m**8\/14 + 5*m**4\/12 + 17*m. Find the third derivative of p(j) wrt j.\nAnswer: -480*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3682 to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 25 = 0, -f = t - 0*t + 6 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 3:09 AM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13122 is divided by 22?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11409656.\nAnswer: 2, 23, 59, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjjajvj. What is prob of sequence jv?\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/(-19 - (-47)\/2). Solve 4*i + 22 = -l*o, 0 + 27 = 3*o - 4*i for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 4.8?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0017 - 10.0017. Let c = -0.4 + 0.3. Is c != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*m = -19*m - 100 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.6399 - 0.0499. Let j = n - -0.445. Round j to two decimal places.\nAnswer: 1.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6628 + -9502?\nAnswer: -11b2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of b**4\/84 - b**3\/7 + 5*b**2\/14 - 17*b. Suppose t(z) = 0. What is z?\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of i**7\/840 - i**6\/72 + i**5\/30 - i**4\/12 - 51*i**3\/2 + 92*i**2. Let q(z) be the first derivative of g(z). What is q(5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5892000 rounded to the nearest one hundred thousand?\nAnswer: 5900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 22 (b) -2\/11 (c) -55 (d) -0.1 (e) -0.0641\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 2:50 AM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (9 + -3) - -9\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -5*y - 40. What is l(-7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 times -42?\nAnswer: -1.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -653367 + -3.7.\nAnswer: -653370.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/4 + 33 + (-1140)\/40?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 15678507 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -1.185\nAnswer: 0.1185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-4)*(-21 + 9). Suppose -4*u = 3*d + 3, z*u + d = -u - 1. Solve u = -5*q + 4*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 50 = -5*j, 0 = -0*o + o. Let z = 52\/5 + j. Which is the third biggest value? (a) -3\/7 (b) z (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -364217, -728436, -1092655, -1456874, -1821093?\n\"Answer: -364219*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f - 8*f - 1794 = 0. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49095.08 days to hours.\nAnswer: 1178281.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uk when two letters picked without replacement from kguqx?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 161 (base 14) in base 16?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60) - (sqrt(60) - -1*sqrt(6000)) - sqrt(480)\/(sqrt(8)*2 + sqrt(8)))\/((2*sqrt(72)*-3)\/(-1*(sqrt(6) + sqrt(150)))).\nAnswer: -31*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 8 + -10 - -12.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, q: 3, g: 1, n: 3}. Give prob of picking 1 q and 1 n.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 14*c**3 - 20*c + 17. Let g(d) = -5*d**3 + 7*d - 6. Let w(j) = j**2 - 13*j - 5. Let u be w(12). Determine u*g(i) - 6*n(i).\nAnswer: i**3 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m - 5. Let r be 4\/3 + 95\/(-15) + 4. What is u(r)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 10, 0, -26, -74?\nAnswer: -150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 7, t: 1, m: 2, u: 1, q: 8}. Give prob of sequence mut.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 708 = -2*u + u, v + 2*u = 710. Let j = v + -1313\/2. Calculate the common denominator of (34\/(-51))\/(2\/(-18)) and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t**3 - 1175*t**2 + 45995*t + 47175 = 0. Calculate t.\nAnswer: -1, 51, 185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 14*s - 9*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 5 = 5. Let q(b) = b - s*b - 2*b + 2*b. Let n(k) = -2*k. Calculate q(n(d)).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99506.96 - 2308249.\nAnswer: -2208742.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -14, -4, -3\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h - 1 + 12 + 799*h**2 + 1228*h**2 - 6.\nAnswer: 2027*h**2 + 2*h + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -8598154 - 6\nAnswer: -8598160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164*n - 64*n = 2*n - 1972 - 1164 for n.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 + p. Let y be l(0). Solve y = -4*b - 5*d + 8, 0 = 3*d - 5*d for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4\/11 + 3*m**2\/11 - 2*m\/11.\nAnswer: -m*(m - 1)**2*(m + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -7 - 8 - (-967 - -948)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -637 (base 14) to base 3\nAnswer: -1200101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 0 - 6 = 0. Let w = t + -1. Is (1*w)\/(6\/66) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - l + 4*l - 9, 4*h - 4*l = -12. Let w be 11\/7 - (-18)\/42. Suppose 3*v + 6 = h, -6*o + w*o + 4*v + 64 = 0. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - 1\/(2*1\/(-2)). Solve r + 5*p = -28, -w*p - 2*p - 25 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y + 10*y**2 - 12*y + 19*y.\nAnswer: 10*y**2 + 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -5*g + 7775, -5109 = -5*g - 2*r + 2678. Let d = -531 + g. Suppose -3*v + a + a + 776 = 0, 4*v - a - d = 0. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8.69 + 8.6868. What is y rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 112.5 - -21.5. Let a = -148 + l. Let k be 1\/21 - (-2)\/7. Which is smaller: k or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187043147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of -2*x**3\/5 - 246*x**2\/5 - 10086*x\/5 - 29. Factor o(b).\nAnswer: -6*(b + 41)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1663009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 50.6 and 17.\nAnswer: 67.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18559 + -18559. Is -31\/22 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1067 (base 9) in base 13?\nAnswer: -48a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, -2, -5, 0, 19, 58, 123?\nAnswer: 220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -34 - 35613?\nAnswer: -35647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67938, 135778, 203464, 270918, 338062?\nAnswer: 404818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 - 1. Let c be p(0). Let d be (1*5)\/((-9)\/27). Let n be 2 + (-16)\/(-84)*d. Which is smaller: n or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 313 = -5*t - 318, -4*t + 3 = -3*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-66 - (0 - -2)) + (-87 - -18 - -66) + 14?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 j, 1 w, and 1 i when four letters picked without replacement from jwwwswwijsww.\nAnswer: 28\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 - 16. Suppose -4*h - 3 = 3*m, 13*m + i = -h + 10*m. Let j(d) = d**2 - 6*d - 4. Let l be j(6). Sort h, l, 6 in increasing order.\nAnswer: l, h, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -74*l + 33*l - 59*l. Let z(i) be the second derivative of -i**4\/6 + 25816*i. What is z(o(d))?\nAnswer: -20000*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from whwhhhhhh. What is prob of sequence hhww?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x + 2*x**3 - 9*x**4 + 3*x**4 + 2 - x**2 + 2*x**2 + 0*x**2 to the form z*x**2 + v*x**3 + h*x**4 + w*x + b and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -33068 take away -0.5?\nAnswer: -33067.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 440, -0.3, 8, 4 in decreasing order.\nAnswer: 440, 8, 4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 20*t**2 - 60*t - 158. Let n(y) = -11*y**2 + 30*y + 80. Let z(i) = -7*n(i) - 4*u(i). Suppose z(r) = 0. What is r?\nAnswer: -2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1988 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 654 = 5*t + g, -5*t - 2*g = -0*t - 653. Let m = -129 + t. Solve -m*b + 2 = -2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, e: 2, p: 11}. What is prob of picking 1 p and 1 v?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2025)*1)\/((sqrt(90)\/sqrt(3))\/sqrt(6) + sqrt(20)\/sqrt(4)*3).\nAnswer: -9*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18342, 36742, 55142, 73542, 91942?\nAnswer: 110342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5*((-3)\/15 - -1). Solve -3*l = -g - 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1043 - -1048. Which is the third smallest value? (a) 4 (b) -2.9 (c) -1 (d) q (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 346744 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**(-6\/7)))\/x**(4\/7) assuming x is positive.\nAnswer: x**(2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 11*m - 31. Let p be i(3). What is the smallest value in p, -0.2, -6.4?\nAnswer: -6.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 4962923?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5268 is divided by 303?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 5. Suppose 5*q - f = 6*q. Let r = -11.311 + 6.311. What is the closest to -2 in 1\/9, q, r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3 - 4573*l**2 - 2588790*l + 10428264.\nAnswer: (l - 5082)*(l - 4)*(l + 513)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3310 = 5*w - 3315, -3*g - 2*w = 13 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -1638 - h**3 + 1643 - 2*h**2 + 2*h - 2*h**4 - 2*h as x*h**3 + r*h**2 + i*h + v + f*h**4 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in thirty sevenths of a week?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2131113 + 30?\nAnswer: 2131203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219*u - 185378 = 2671*u - 48066 for u.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 96670.3nm?\nAnswer: 0.00966703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 584 and 6127036?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)*-2)\/sqrt(12) + 0.\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -50 - -13?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 772?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, z: 16}. Give prob of picking 2 z.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3245647 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 + -6. Let h = 15 - v. Which is the closest to 2\/9? (a) h (b) 0 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34.6*2692\nAnswer: -93143.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*i**3 - 89*i**3 + 396*i**3 - 74*i**3 - 51*i**3 - 90*i**3.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0 (b) 1 (c) 2\/15 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1 + (sqrt(162) - (sqrt(162) + 1) - sqrt(162)) + sqrt(162))**2 + 0 + 4 + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -5*b + 20, -5*b + 2*s + 12 = -2*b. Let l = 6 + -1. Let g = l + -2. Solve g*m + 0*m = -b*u, 0 = -5*m + u for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (24\/30)\/((-4)\/10). Let s(a) = a**2 - a + 1. Let b(m) = -3*m**2 - 3*m - 5. Let o = 5 + -7. Let y(n) = o*s(n) - b(n). Calculate y(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -0.1 (c) -197 (d) 3 (e) 9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - -2)\/(-1 + -2). Let b = -55 - -37. Let q be b\/54 + (-3 - (-3)\/9). What is the biggest value in -4\/3, p, q, -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -120 - 3025. Is t a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 193076829 to the nearest integer?\nAnswer: 578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three eighths of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -3*j - d + 344, -122 = -j + 3*d. Solve -22*o = 7*o - j for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 - 0.3. Let c = -0.6 + 0.2. Let k = 2\/197 + -408\/1379. What is the nearest to k in -3, c, r?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 67514*m + 9992065. Determine a(-148).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence co when two letters picked without replacement from {o: 6, c: 4}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101 = -8*y + 69 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 1:43 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110110000 (base 2) in base 8?\nAnswer: 1660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1139 + -1139. Solve t - 4*d - 17 = f, 7 = -23*t + 22*t - 4*d for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of (12 + -9 + 6)*(-1875)\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 632*f + 1241*f = -1655*f + 144648 for f.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 1 - 25*g + 24*g - 9. What is s(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3*m**2. Let z(j) be the second derivative of -2*j**3 + 215*j - 2. Determine t(z(u)).\nAnswer: 432*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 784696230 by -8718847.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 150799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3\/53 + -165\/106. Which is the nearest to 0? (a) -5 (b) 0.3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3312455?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7245300345 to the power of 1\/2, to the nearest integer?\nAnswer: 85119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33\/2 - -15. Let o = 0.4 + -26.4. Let i = o - -25.8. What is the second biggest value in -5, i, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 q when two letters picked without replacement from {i: 2, q: 5, p: 1, w: 10, d: 1, z: 1}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -43770 - -106?\nAnswer: -43662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -44121 (base 5) in base 7?\nAnswer: -11565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 8, p: 4, r: 1}. What is prob of sequence ttr?\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of -i**5\/40 - 115*i**4\/24 + 233*i**3\/12 - 117*i**2\/4 + 91*i. Determine n so that c(n) = 0.\nAnswer: -117, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-5)*(-10)\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -36*r**2 - 32*r + 74. Give f(4).\nAnswer: -630","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 10096700.6 to the nearest 1000.\nAnswer: 10097000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-5)*17\/(-34).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10344303 and 171?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 14*s**2 - s + 19. Let v be j(14). Suppose k - 72 = -3*h + 86, 0 = k - v. Let w = 10 + h. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-20)\/d)\/(d**(2\/23)*d)*(d**0\/d)\/(d*d\/d**(-16\/7)*d) assuming d is positive.\nAnswer: d**(-4568\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(-2*h + 2*h + 2*h)*(2 - 1 + 2).\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9b + 82?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 300 = 3*q - 2*x, -3*x + 2*x = -2*q + 200. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 827541 and 572913?\nAnswer: 7447869","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is -11234042 (base 5) in base 4?\nAnswer: -120333331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -7*r - 5625*r**2 - 12*r + 19*r. Let k be u(-4). Round k to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*6\/(-48)*10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.001, 72, 0.1, 3, -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6806.5407ms in hours?\nAnswer: 0.00189070575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 16 = 40. Let m = -127 + 306. Suppose -m = -8*t - 35. What is the highest common divisor of t and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*p**2 + 7*p**2 - 3*p**2 to the form t + u*p + s*p**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 68551 + 5?\nAnswer: 68556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/4))**(-2\/25)*(j**(2\/3))**(-15))**(-1\/20) assuming j is positive.\nAnswer: j**(501\/1000)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9884.38 + 9877. Which is the fourth smallest value? (a) 4 (b) -1 (c) 3 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 1, -4*k = -0*b + 4*b. Put k, -16, 3\/5, -0.1 in ascending order.\nAnswer: -16, k, -0.1, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1059 + 2183 - 3265*k**5 - 1123 - 8*k**2 wrt k?\nAnswer: -195900*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 3:28 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 1 = -15. Let x(a) = -3*a**2 + 2*a + 4. Let r be x(3). Let c = r - -26. What is the remainder when k is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-64)\/32)\/(4\/2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -531 + 0?\nAnswer: -531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -129*f**2*z**6 + 12*f**2*z**2 - 17*f**2*z wrt z.\nAnswer: -15480*f**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1280 by 320.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4*c - 27 = 0. Solve 4*u - 5*p = 23, -8*p + 3*p - c = 3*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 387073?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -38545.969 to the nearest 1000.\nAnswer: -39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3313 (base 8) to base 12.\nAnswer: 100b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of 21*s**5\/5 + 7*s**2\/2 + 42*s. Differentiate n(f) wrt f.\nAnswer: 252*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 113, 481, 1099, 1973, 3109, 4513, 6191, 8149?\n\"Answer: n**3 + 119*n**2 + 4*n - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/2 (b) 5\/14 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -22*b + 441. Let s be y(20). What is the nearest to s in -5, 1\/4, -1\/15, 5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 11, -5, -0.5, -1, -0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 2 = -4*k, 47826*p - 47821*p = -4*k + 26 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.2, 0.3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -87 + 89. Suppose 2*s - 17 = -5*g - u*s, g - 4 = -s. Let f be 0 - (2 + -1 + -4). Solve -g = -n + f for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from -37519234149.\nAnswer: -37519234148.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.020253377 to three decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 1. Suppose 45 = -g*s + 3*s. Let j be 9\/s - 2\/(-5). Calculate the greatest common divisor of j and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 3*i - 12 = 0, 4*b - 46*i + 7 = -45*i for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/2002836 and -101\/16386840?\nAnswer: 180255240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11343721 and 314.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8751\/11 + -795. What is the third smallest value in -28, z, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 134444980*y**2 - 114307262 wrt y.\nAnswer: 268889960*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13443?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) 0 (c) 729\/61 (d) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11705, 48882, 110843, 197594, 309141, 445490?\nAnswer: 606647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uububbbabbuoubububo. What is prob of sequence ab?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, g: 5, r: 1, i: 4}. Give prob of sequence rii.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3256150396.\nAnswer: 2, 814037599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of 3*r**5\/100 - 7*r**3\/10 - 9*r**2\/5 - 30*r. Determine k, given that s(k) = 0.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8460*h**4 - 5522*h**4 - 5691*h**4 + (-3*h**3 + 3*h**3 - 2*h**3)*(-3*h + 2*h - h).\nAnswer: -2749*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3231 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -9834903*y + 2030. Let m be c(10). Round m to the nearest one million.\nAnswer: -98000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2*j = -4. Suppose t + 4*a + 9 = 0, 2*a - 11 = 4*t + 25. Let y = t + j. Sort 1, -1, y in ascending order.\nAnswer: y, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 1\/675, -3, -2, -0.5 in increasing order.\nAnswer: -3, -2, -0.5, 1\/675, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - i**2 + 3*i - 6. Let w be (-3)\/(-2)*4\/(-6). Let d be -5 + w\/(-3)*0. Is k(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 69813143?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68495405?\nAnswer: 5, 11, 359, 3469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -5*k + k + 4*u, 0 = 3*k + u + 41. Let c = -10 - k. Suppose -3*s = -c*s - 79. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*1*(sqrt(475) - (sqrt(475) - (-2 + sqrt(475))**2))*-2*2*6.\nAnswer: -960*sqrt(19) + 22992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3*v**2. Let l(o) be the second derivative of o**6\/360 + o**4\/4 - o. Let h(a) be the third derivative of l(a). Determine t(h(r)).\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 65*h + 845. Give q(-13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -595314?\nAnswer: -1\/297657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) -5 (c) 4 (d) -1\/5 (e) -278\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mrr when three letters picked without replacement from {r: 3, m: 13}.\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 27981 and -84526.06?\nAnswer: 112507.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -207*c*w**4 - 2*c*w - 370494*c - 35*w wrt w.\nAnswer: -828*c*w**3 - 2*c - 35","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*7\/14 - 2\/(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -246*h**4*p**3 - 2*h*p**3 - 3*p**3 - 9 wrt h.\nAnswer: -2952*h**2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**3 + 23*q**2 + 41*q + q**2 - 2*q**2 - 20 + 8 + 6*q**2.\nAnswer: -2*q**3 + 28*q**2 + 41*q - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -52, -72, -94, -118, -144, -172, -202?\n\"Answer: -s**2 - 17*s - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32177, 64519, 97055, 129785, 162709, 195827, 229139?\nAnswer: 262645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 15) to base 10.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3201 + -223?\nAnswer: -3424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -9982.1 to the nearest ten.\nAnswer: -9980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-24)\/(-28))\/(6\/56). Let c = m + 229. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-150)\/25*(-1)\/(-2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*-1*-5*-30*10\/700?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -3. Which is smaller: -1\/5 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20851.2 + 20851. Let n = -93 - -49. Put f, n, 5 in descending order.\nAnswer: 5, f, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/72)\/(400\/2720)*5\/(30\/36)\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, -62, -56 in decreasing order.\nAnswer: -2, -4, -56, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -93 - -209. Suppose -o = -4*s - 2*l, 4*s + l - 27 = 3*s. Does 15 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5454\/(-808) - ((-6)\/(-27) - (-1)\/36). What is the third biggest value in -0.2, 0.1, t, 3, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 136025 and 250?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82568723 is divided by 191?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/(-44))\/(((-63)\/(-6))\/(-3))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*u - 3*r + 6*r + 18 = 63*u, r = 4*u + 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -2\/11, -0.5, -0.139, -14\/11, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 33*n - 38*n. Suppose 79 = n*x - 116. Let q = -21 - -47. What is the highest common factor of q and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 164b - 8?\nAnswer: 1643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -50\/101464547 and -42\/5.\nAnswer: 507322735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 s when three letters picked without replacement from sisisissis.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.87 and -280.34?\nAnswer: -243.8958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 20 = 0, -2*p - 3*p = 5*f. Let u = 7 + f. Calculate the lowest common multiple of u and 11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 9*g - 17. Give l(6).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -31 - 408614?\nAnswer: -408645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2*o + 4073 = 916, 5*y = o + 5264. What are the prime factors of y?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*n + 2924 = 4068 for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p + p**2 - 8 + 2 - 4*p**3 + 5*p**3 to the form n*p**3 + o*p**2 + v + y*p and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(-3*sqrt(363) + sqrt(363)) + sqrt(363))*-5)**2 + -4 + ((sqrt(24)\/sqrt(4))\/sqrt(2) - 2*sqrt(108)).\nAnswer: -11*sqrt(3) + 735071","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-73 - 51 - 14 + 30)*(-s**3 - 4*s**3 + 3*s**3).\nAnswer: 216*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.9922802 litres?\nAnswer: 992.2802","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128*i**3 + 215*i**3 + 31*i**3 - 220*i**3.\nAnswer: -102*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -43 (base 5) to base 16\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*v - 18*v + 176 = -53*v. Let b(o) = -15*o**3 - 9*o**2 + 19*o. Let y(w) = 8*w**3 + 5*w**2 - 10*w. Calculate v*y(i) - 6*b(i).\nAnswer: 2*i**3 - i**2 - 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 > 18250?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-9\/2)\/(m**(-2\/47)*m) assuming m is positive.\nAnswer: m**(-513\/94)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -4 + 20. Let u be 2\/4 - (-4)\/f. Suppose 0 = o - 0*i + 4*i - 8, u = 3*i - 3. Solve -3*k = -q + o, -2*k - q + 3 = 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-6*66\/(-24)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-3 + (-4 + sqrt(700) - sqrt(7))**2 - -4*(-2*sqrt(700) - sqrt(700)))*-6.\nAnswer: -3476 + 1152*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**3 + f + 1. Determine v(-2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 5:07 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6763484?\nAnswer: 2, 7, 13, 17, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0)*(62*i - 23*i - 5 + 2).\nAnswer: -39*i + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-12))\/(1\/3). Let r be 4 + 0 + -2 + d. Let t be (-5 + 1 - -7)\/r. Solve x = -3*w + 12, t*x - 5*w + 4*w + 4 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(210) - (-2*sqrt(210)*-2 + sqrt(210))) + sqrt(210))\/sqrt(5))\/((sqrt(6) - sqrt(18)\/(sqrt(6)\/sqrt(2))) + (sqrt(864) - 2*sqrt(864))).\nAnswer: sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -71.168 and 2?\nAnswer: -142.336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45508 and 54757134.\nAnswer: 734","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 12*i**2 - 2*i - 1. Let y(u) = -u**2 + u + 1. Calculate -k(w) - y(w).\nAnswer: -11*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2097052 + 0.1236953. Let z = s + 0.086. What is z rounded to 6 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, r: 1, p: 2}. What is prob of picking 1 b and 1 r?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 7 - o**2 - 7)*(-115*o**2 - 54*o**2 + 41*o**2) in the form j*o**2 + g*o**4 + u*o + q*o**3 + s and give g.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.9729363 kilograms?\nAnswer: 972936300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-99)\/396)\/((-2)\/40)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-196)\/35)\/((-301)\/430).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 59*y + 451. Determine l(-7).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of 1\/120*o**6 + 0*o**4 - o - o**2 - 5\/6*o**3 + 0 - 1\/15*o**5. Let h(c) be the first derivative of x(c). Calculate h(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.9115 rounded to 1 decimal place?\nAnswer: 10.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -35*a**3 + 10*a**2 - 12*a - 8. Let s(c) = -2*c**3 + 2*c**2 - c + 1. Let u(g) = d(g) - 5*s(g). Find the second derivative of u(r) wrt r.\nAnswer: -150*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -2*m - 25. Solve 4*v = 3*y - 7 + 2, 5*v = m*y for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + 1. Let h(o) = 9*o**2 - o - 5. Determine -2*h(r) - 10*n(r).\nAnswer: -8*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*h + 2. Let x be -1*12\/(1 - -2). Which is greater: h or x?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 21 and 2307.\nAnswer: 48447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1)**2\/(((q\/(q\/(q\/(q\/q**0*q))))\/q)\/q)**(4\/3) assuming q is positive.\nAnswer: q**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*b + 4*b - 1411 + 22*b - 33*b in the form s + c*b and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3654102041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8086720 and 4699?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3528 = 650*j + 496*j - 294*j + 324*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8496*w + 2160*w + 2116*w - 1 + 2111*w + 1 + 2114*w.\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2075551 from 0.2.\nAnswer: 2075551.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -r**6 - 2281*r**4 - 2*r**3 + 20*r**2 + 6*r + 62046.\nAnswer: -120*r**3 - 54744*r - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2\/8 - 32823*g\/8 + 1658367\/4.\nAnswer: 3*(g - 10839)*(g - 102)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23459, -45701, -67945, -90191, -112439, -134689, -156941?\nAnswer: -179195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10410 divided by -10410.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1160642 greater than or equal to -1160300?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-4)*(-3)\/(27\/(-12))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 1. Suppose 4*v - 2*r - 6 = 0, -5*r + 3*r = 2*v - n. Suppose 4*w - 2*w + v*a + 2 = 0, -4*a = 3*w + 8. Solve -2 = -3*l + w for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4995.\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -7*i**2 - 16*i - 12. Let g(r) = -11*r**2 - 24*r - 18. Let m(w) = -5*g(w) + 8*n(w). Suppose -2*s - 7*k - 15 = -6*k, 25 = -3*s + k. Calculate m(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) -59 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70107?\nAnswer: 3, 23369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2*s - 2 = -6*y, -2*y + 13 = -3*s. Suppose -y*q = q - 33. Solve 2*u - 2 - q = -5*z, 5*u - 25 = -5*z for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + n - 103, -5*b + 95 = -5*n + 10*n. Let f be (b\/6)\/(19\/(-38)). Which is bigger: 4 or f?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10020015 (base 6) to base 16\nAnswer: 44fab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -216.\nAnswer: -1\/216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -5*j**3 - 6*j**2 + 8*j + 8. Let v be h(-4). Calculate the greatest common factor of 125 and v.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239 is divided by 188?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*g**2 + 1 - 3*g**4 + 2*g - 2*g**3 + 0 - 2*g as p*g**2 + z + v*g + i*g**3 + b*g**4 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 20*i**2 - 31*i + 155. Determine s(22).\nAnswer: 441","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 68988.88ml in litres?\nAnswer: 68.98888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -4*y - 24. Give f(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -296 = 84*v - 47*v for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 896578?\nAnswer: 2, 61, 7349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u + 3*u + 5*u.\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19 + 22 + 19)*(-59 - 11 - 41)*(-1 - 1 + 0)*(r**3 + r**3 - 4*r**3) to p + u*r + l*r**2 + b*r**3 and give b.\nAnswer: -9768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -4*p - 6, -29*i + 33*i - 8 = -3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 506*y - 1788*y = 17305 + 42949 for y.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 4:39 AM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1.002, 1.9, -0.3, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100631647 (base 8) to base 16.\nAnswer: 10333a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*m - 125 = -41*m. Let p(q) be the second derivative of -1\/12*q**4 - 7\/2*q**2 + q**3 + 0 + 2*q. Calculate p(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.094234cm in kilometers?\nAnswer: 0.00000094234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1191764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3892 by 1.\nAnswer: -3892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23 + -19. Let u(p) = -p**2 + p - 3. Calculate u(w).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 52925 or 54409?\nAnswer: 54409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/4, 0.23, -1\/51, 2.1, -4, -0.5?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-42))\/((1125\/120)\/75).\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -0.06, 3\/5, -7\/15 in decreasing order.\nAnswer: 3\/5, -0.06, -7\/15, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ps when two letters picked without replacement from {s: 1, k: 1, x: 2, p: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 609 - 576.2. Let y = -30.8 + x. Which is the nearest to 2\/9? (a) y (b) 0 (c) -8\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -5*a - 18. Suppose 24 = -a*m + 7*m. Suppose -j + 24 = 4*k, -j + k = -m*j + 120. What is the highest common divisor of j and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.2561 rounded to 1 dp?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2204*r**3 - 33*r - 6 wrt r?\nAnswer: 13224*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - f - 15183, 52*l - 50*l + 2*f = 7604. What is the remainder when l is divided by 152?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*684494\nAnswer: -342247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 - 9*o + 2. Let n be f(9). Let q(j) = j**2 - j + 1. Let d be q(n). Suppose -d*t = -2*h + 42 - 11, -2*h + 5*t + 33 = 0. Is 5 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/5 + (-1216)\/(-40). Suppose 2*p = -b + 11, 4*b + h - 10 = 0. Suppose -4*s + 6*s - 68 = -15*s. Solve -2*n + 2 = -6*z + 2*z, -s*n - p = -4*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x - 1. Let z be (8\/(-24))\/((-1)\/6). Let v(s) = -3 + 13*s - s - 9*s + s**z. Let d = 4 - 5. Give d*v(n) + 4*k(n).\nAnswer: -n**2 + n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 1. Let h(v) = -v**2 + 5. Suppose 0 = 286*a - 279*a + 14. Determine a*h(y) + 10*n(y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -2*s**2\/7 - 154916*s + 1084414\/7 = 0.\nAnswer: -542207, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(117) + 2 + sqrt(117) + sqrt(117) + -2 + sqrt(117) + 4 + 5 + -1*(sqrt(117)*-2*-3 + sqrt(117)))**2.\nAnswer: -198*sqrt(13) + 1174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*o + 18*y - 17*y = 30, 0 = -5*y + 50 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 + 12*j - 24. Calculate the least common multiple of 15 and s(6).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f**3 + f**2 - 3*f - 13. Calculate the remainder when 111 is divided by o(-3).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*b**2 - b - b**3 + b**4 - 4*b**2 + 5*b**2 + 0*b**2 in the form q*b**3 + s*b + m*b**4 + u*b**2 + p and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*b**5 + 700*b**3 + 2*b + 2503 wrt b.\nAnswer: -60*b**3 + 4200*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 226283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8964 and 2052.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 3*j - 2*y = -34, j - 13 = -2*y. Let v be -3 + (-100)\/(-36) - (-220)\/18. Let w = v + 28. Calculate the remainder when w is divided by j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -83 + 37. Let o = 95\/2 + i. Which is the closest to -2? (a) o (b) 2 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4863370 and 17110.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-649 + r - 366 + 88)*(6 + r + 11 - 26).\nAnswer: r**2 - 936*r + 8343","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 132 = u + 147, -3*d - 15 = 2*u. Sort 1, u, -5, 3, 73 in decreasing order.\nAnswer: 73, 3, 1, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 5 - 3)*(-77 + 186 + 73)*(6*w + 5*w - 5*w) to the form h + i*w and give i.\nAnswer: 6552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -35436 + 35445 + 65*z - 59*z + 2*z**2. Give o(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -28*d - 5. Let x be w(-4). Let t = x + 126. Suppose -f = 2*p - 6*f - 427, 4*f - t = -p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - ((-12 - 4) + -2)) + (-20 - -24).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -53*l + 52*l - 9 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 11:46 PM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 370464617?\nAnswer: 167, 2218351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -5. Suppose p = -0*d - 2*d + 36. Suppose -3*g = 2*s + 5, 0 = -3*s + 4*g + 12 + 6. Calculate the least common multiple of d and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 8, y: 2, f: 3, s: 4}. Give prob of sequence fyof.\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -470 - -475. Let t(o) = -o**3 + 4*o**2 + 7*o - 8. Give t(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b - 2 = -3*r - 29, -4*r = -2*b + 16 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61132190*z**2 + 61132238*z**2 + 4*z - 122264425*z**2 - 4*z.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 772648986*z**4 - 7816*z**2 - 4048.\nAnswer: 18543575664*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24816, -24817, -24818, -24819, -24820, -24821?\nAnswer: -24822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3136595603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 6*d**2 + 4*d - 17. Give s(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a hour in seconds?\nAnswer: 9450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 652 divide 57530112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (-7 + (4 - 2) - 13)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 8, d: 6, w: 2, o: 2}. Give prob of picking 2 d.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 - 9*c + 31. What is the remainder when 36 - (0 + (0 - 1)) is divided by z(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 at least 73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 80706589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 49577800 to the nearest one hundred thousand.\nAnswer: 49600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - m - r = -3, -m - 3 = -2*r. Let h be -26*(4\/16*2 + m). Suppose 5*p - 40 = h*p. Is p <= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 348*w - 1791*w + 251*w + 634*w.\nAnswer: -558*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4869272911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 437442343 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 2*w - 1477, -5*x - 29 = -4. What is the remainder when w is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 4*d - 75, 2*n - 15 = -3*n. Suppose d = 2*r + 11. Suppose -r*s + q + 18 = -q, 5 = s + q. Solve a + 5 = 6*a, -14 = s*i + 2*a for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 482 is divided by 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h**3 - 256299*h**2 - 1242370*h?\nAnswer: 12*h - 512598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.798 rounded to 0 dps?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.001 - 0.109. Which is the smallest value? (a) 1\/2 (b) t (c) 2\/7 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -513*a**4 + 118*a**2 - 514*a**4 - 276 + 1028*a**4 - 295*a**2 - 105*a**2 with respect to a.\nAnswer: 4*a**3 - 564*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1612 - 1609. Let k(r) = -r**3 + 4*r**2 + r - 5. Let m be k(4). Let s = -0.03 - 3.97. Which is the third biggest value? (a) i (b) m (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4667734.\nAnswer: 2, 2333867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -36? (a) -9 (b) 2885 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7175?\nAnswer: 5, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)\/(-1*sqrt(4)))\/(sqrt(25)\/sqrt(125)).\nAnswer: -5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -15 (b) -0.02 (c) -37 (d) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.4 (b) -3 (c) -28\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - ((-28)\/6 + 3). What is the second biggest value in i, 0.2, -0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24759380 to the power of 1\/2, to the nearest integer?\nAnswer: 4976","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/28)\/(8\/(-28))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 4. Factor b + 0*b + 0 + b**2 - 2*b**y + 2.\nAnswer: -(b - 2)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5424 is divided by 182?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 255162 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-6))\/(53\/1060*(-3)\/9).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 108 + -105. Suppose -1 = -4*b - 4*q + 7, 0 = 4*b + q - 20. Is b >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.5 - -1.5. Let d = -3 - t. Put d, -1, 5 in descending order.\nAnswer: 5, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -20*i. Let r(f) be the third derivative of f**4\/12 + 2*f**2. What is r(u(k))?\nAnswer: -40*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -49*f**3\/5 + 8764*f**2\/5 - 1497*f + 1602\/5.\nAnswer: -(f - 178)*(7*f - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-14)*590\/354)\/(5\/540*15).\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4*n = -16, -4*t + n - 3*n + 10 = 0. Suppose k = w + 4*w + 220, 4*k = -t*w + 856. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 383 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -97033342.8 - 3740.\nAnswer: -97037082.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.18 + 1.5. Let r = -3.32 + g. Which is the smallest value? (a) r (b) 3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -304 and -0.2.\nAnswer: 60.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -6*sqrt(539)*1 - (-2*sqrt(539) + sqrt(539) + -2 + sqrt(539) + 0 + -4))**2 + -5.\nAnswer: -252*sqrt(11) + 19408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 13*g**2 + 9*g + 2. Let p(u) = -7*u**2 - 5*u - 1. Suppose 1 = -14*h + 29. Suppose -5*z = -5*c + 80, -z - h*c = -2*z - 21. Give z*p(m) - 6*f(m).\nAnswer: -m**2 + m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001946667822 rounded to 6 decimal places?\nAnswer: 0.001947","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 5*x + 9, 23*m + 5*x = 26*m + 8. Which is smaller: 14\/45 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/1434 and -31\/753342.\nAnswer: 180048738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*r = -9*r - 72 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -60132.55 times -2.1\nAnswer: 126278.355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -41*j - 1158. Calculate u(-30).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b**2. Suppose 0*t + 4 = -t. Let m(g) = -35*g. Let a(x) = -17*x. Let f(k) = t*m(k) + 9*a(k). Calculate f(j(y)).\nAnswer: 26*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 68*t + 15*t**2 - 68*t + (t + t - 3*t)*(t + 7*t + 2*t) to q + f*t**2 + u*t and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r**2 - 8. Let t(a) be the first derivative of a**3\/3 + 5*a + 2. Let j(i) = 8*t(i) + 5*w(i). Let y(c) = -c**2. What is j(y(d))?\nAnswer: -2*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 12:54 PM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44976644 and 7316?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.024056482 rounded to 4 dps?\nAnswer: 0.0241","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 615999 and 10908.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x + 30. Let i be v(16). Let o(u) = -u**3 - 4*u**2 - 4. Let c be o(-4). Let h = i - c. Solve 4*t - h*t - 2 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 13*z**3 + z**2 - 2*z + 1. Let c be ((-30)\/(-40))\/(1\/76). Let o = -56 + c. Determine n(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k**(2\/7)*k*k)\/k))**(-26))**(-7) assuming k is positive.\nAnswer: k**(-52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) - -2*sqrt(209)*-5)*-5)\/((-2*(sqrt(99)*-1 + sqrt(99) - sqrt(99) - sqrt(99) - sqrt(99)))\/sqrt(9)).\nAnswer: 15*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + x**2 + 1. Let j(o) = 2*o**3 + 4*o**2 + 15. Let i = 15604 + -15600. What is i*q(y) - j(y)?\nAnswer: 2*y**3 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 735563 is divided by 496?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167598743?\nAnswer: 13, 29, 419, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63 + 38*p**3 - 63)*(-9 + 9 + 2*p + 5*p**2).\nAnswer: 190*p**5 + 76*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -3. Differentiate -1 - s + 5 + h**2 - 2*h**2 with respect to h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 2*s + 10 = 0, 0 = 5*s - 16 - 9 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5382353?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 223341?\nAnswer: -223334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 9*o + o + 3 - 3. Let f(d) = -1. Let j(i) = i**2 - 6. Let g be -3 + (6 - 2) + 0. Let y(x) = g*j(x) - 6*f(x). Determine y(m(c)).\nAnswer: 100*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 5*r**2 - 6*r - 4. Let w be 3\/((-63)\/6) - 1208\/(-14). Let z be 1\/(-22)*-4 - w\/(-11). Suppose -z*y + 2*y + 36 = 0. What is n(y)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*f - 27*f = -c - 26, 10 = 4*c + 3*f. Does -18\/19 = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, k: 2, u: 1, o: 2, g: 2, m: 1}. What is prob of sequence oklk?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 20*c**2 + 53*c + 26. Let y be r(-22). Let p = y - -67. Is -104 less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*4*(2*sqrt(2662))\/(sqrt(2) + -5*sqrt(4)\/sqrt(2)).\nAnswer: 110*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 + 14*s + 5. Let u be m(-14). Let p(f) = 3*f**3 + 5*f**2 - 5*f + 4. Is p(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -323, -1346, -3063, -5474, -8579, -12378, -16871?\n\"Answer: -347*q**2 + 18*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(336))\/sqrt(7)*2.\nAnswer: 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1256803?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10504 is divided by 945.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4927421074.\nAnswer: 2, 6011, 409867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2045601 to the power of 1\/2, to the nearest integer?\nAnswer: 1430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79 + 43 + 20 - -9.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mfmmdlmffmmmdz. What is prob of sequence lfm?\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 7, -3, -2\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.50094 * 18.\nAnswer: 9.01692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 87127.05nm in millimeters?\nAnswer: 0.08712705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 2) + 8 + -24.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 1\/13 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 45486 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -1059 + 1060 - 3*j**2 + 3*j**3 + 0*j**3 as u*j**2 + v*j**3 + k + s*j and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.654732 to three decimal places.\nAnswer: -7.655","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/21 in -0.1, -9\/10, 17694?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 w when two letters picked without replacement from {w: 5, l: 2, b: 5}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 53 + -58. Let g be (o\/5*142)\/((-1)\/2). What is the remainder when 1\/((16\/g)\/4) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(16\/8)*1\/3.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 8:03 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 36*s**2 + 46*s + 352. Let m be w(-37). Solve -m*x - 6 = -82 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 1023061631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29 + t**2 - 60 + 18*t + 33 + 2*t**3 to r*t**2 + l*t**3 + h*t + a and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.01*-615.\nAnswer: 6.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(7))*-2 - (sqrt(847)*1 + sqrt(847)).\nAnswer: -24*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 764?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2775, -11094, -24959, -44370, -69327, -99830, -135879?\n\"Answer: -2773*h**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -3, 41, 7.\nAnswer: -3, 6, 7, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(-2)*j)*j**(-6)*j)**(-16) assuming j is positive.\nAnswer: j**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14649298, -29298595, -43947892, -58597189, -73246486, -87895783?\nAnswer: -102545080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z**2. Let v = -6 - -6. Suppose 3*f - 4*i - 146 = 0, v*i - 178 = -3*f - 4*i. Let g(a) = f*a - 54*a + 7*a**2. Determine h(g(d)).\nAnswer: -98*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**2 - 13*l - 4. What is the remainder when 34\/51 - (-710)\/6 is divided by s(8)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191050574.\nAnswer: 2, 11, 13, 668009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - c + 6 = d, 0 = -5*c. Let p be ((d*6)\/3)\/(-1). Let i be 2 + (-2 + 1 - 0). Put i, p, -3 in descending order.\nAnswer: i, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 196\/9*p**2 + 4\/9*p**3 + 560\/9*p + 368\/9.\nAnswer: 4*(p + 1)*(p + 2)*(p + 46)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 11241245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b. Suppose 4*z - 2*z = 2*m - 18, -5*z + 3*m = 41. Let q(u) = u. Let s(o) = z*q(o) - 4*n(o). Determine s(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 14 - 12. Solve 2*r = -7 + p for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -917*z + 15104 + 1117 = -8538 for z.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 154 = b, 4*i - b - 83 - 124 = 0. Let g = i + -14. Let t = 36 - g. Let z(q) = 3*q. Let l(h) = 3*h. Calculate t*z(d) + 2*l(d).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 53*c + 33. Let h be m(7). Let s = 805 - h. What are the prime factors of s?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tvv when three letters picked without replacement from aaatvav?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h**3 + 1 - 8 - 3842*h - 3*h**2 + h**3 - 2097*h.\nAnswer: -2*h**3 - 3*h**2 - 5939*h - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1386085459 to the power of 1\/2, to the nearest integer?\nAnswer: 37230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29 + 33. Suppose 0 = -y*q + 104 + 116. Calculate the highest common factor of 5 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -5. Let x be (3 - (b - 1)) + 4\/1. Factor 3*q**3 + q**x - q**3 + 3*q**3 - 3*q**3 - 3*q**4.\nAnswer: q**3*(q - 2)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 3, 61.\nAnswer: -2, 1, 3, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 1:48 AM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*t**2 + 3*t**2 + 21*t**2.\nAnswer: 14*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -1 (b) 4 (c) -1\/3 (d) 152\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 9922254 - 29372254 = 0. Round h to the nearest 100000.\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9151\/14 - 659. Calculate the common denominator of -55\/24 and q.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -58*o + 4016. Let l be v(69). What is the greatest common factor of l and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 1 - 2*p**2 + 4 - 5. Let z(q) = -7 + 12*q + 9 - 44*q - 2 - 4*q**2 - 67*q. What is z(i(l))?\nAnswer: -16*l**4 + 198*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, q: 8}. What is prob of sequence mq?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -567, -339, 725, 2667, 5529, 9353, 14181, 20055?\nAnswer: 27017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11500 rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 + 190 = d. Suppose -55 - d = -2*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - 3*h - 22. Let n(m) be the third derivative of -m**5\/60 + m**4\/6 + 11*m**3\/3 + 405*m**2 + 4. Calculate 2*n(t) + 3*q(t).\nAnswer: t**2 - t - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/2672 and -85\/3674.\nAnswer: 29392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116122 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u**3 + 4*u**2 + u + 4. Let t(g) = 6*g**3 - 11*g**2 - 3*g - 13. Calculate 4*t(q) + 11*w(q).\nAnswer: 2*q**3 - q - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 668100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -194, -377, -548, -701, -830, -929, -992?\n\"Answer: j**3 - 190*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b - 5. Let n(j) = -5*j + 11. Let i be 1\/((-2)\/((-16)\/2)). Let y(f) = i*n(f) + 9*p(f). List the prime factors of y(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + -7. Let w be (33\/l)\/(2\/88). Suppose -4*s + 90 = -5*n + 12*n, 0 = -3*s - 2*n + 87. What is the highest common factor of s and w?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 5)*(-5 + 2 + 0)*(-97*r - 85*r + 47*r).\nAnswer: -2025*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 10\/3973?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -5*d - 52100, 3*n = n - 5*d - 20834. Let r = n + 17245. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1638, -5835, -12820, -22587, -35130, -50443, -68520, -89355?\n\"Answer: d**3 - 1400*d**2 - 4*d - 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 5*p**2 - 8*p - 4. Let z be x(6). Find the common denominator of 2 - 2\/(z\/42) and (38\/1615 - 38210\/(-1700))*9\/5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -57251, -114509, -171757, -228989, -286199, -343381?\n\"Answer: c**3 - c**2 - 57262*c + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 98?\nAnswer: a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113059?\nAnswer: 167, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -61 - 90*m**3 + 11*m**2 - 30 - 226*m**3 - 102*m**2 + 17*m**3. Let z(r) = -13*r**3 - 4*r**2 - 4. Give -4*a(k) + 91*z(k).\nAnswer: 13*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 88767 + -5\nAnswer: 88762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 + z**2 - 4*z - 3. Suppose 3*b + 7 = 1. Let n be k(b). Suppose -q - n = -6. Solve -5*i + q*f - 6 = 4, 0 = -2*f + 8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 6) in base 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31 + 21*n**2 - 31 to a*n + b*n**2 + c and give b.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35.21 + -35.21. Which is the closest to 0? (a) r (b) 5 (c) -4\/49 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -0.1, 1\/3, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1737 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6994711*t + 6718425 with respect to t.\nAnswer: -6994711","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.11 - 0.11. Let o = -1 + m. Let y = 1 - o. What is the nearest to -0.1 in y, 2\/7, -1\/2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -3*v - 4 + 19, -4*x + 3 = -v. Let y = v + -2. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -z + 21. Let a = -2 + 4. Suppose b = -s + a*s + 11, -b = -3*s - z. Solve 4*d + b - 2 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2 (b) -0.3 (c) 5 (d) -0.2 (e) -64 (f) 14\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*z + 0*z + 0*z - 4*z + 8 as r*z + o and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1634\/129 + (-15)\/1)\/(7\/(-3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17.89 + 15. Let i = 6.89 + o. What is the fourth smallest value in -0.3, i, 11, 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 209*o**2 - 82*o - 833. What are the prime factors of x(-9)?\nAnswer: 2, 19, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6378\/5 + -19114\/15. Suppose -1\/3*g**4 + g**2 - 2\/3*g**3 - 4\/3 + o*g = 0. What is g?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -86183376 divided by 6\nAnswer: -14363896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of 11*i**3\/3 + 5*i**2\/2 - 6552. Let b = 3 + -6. Does 12 divide m(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 - 5*n + 7. Let p be v(-6). Let q be p\/((-3)\/(-6) - 0). Suppose -8 = -2*l + q. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -6*x + 108. Calculate n(-14).\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31180 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*c - 114. Let z = -60 + c. Suppose 5*u = u - z*g + 356, -4*g = 0. What are the prime factors of u?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/35)\/(1104\/127460). Let h = o + 56\/69. What is the common denominator of h and 1 - 0 - (-4 - (-231)\/(-36))?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -49*n - 1. Let w be m(-5). Suppose -1520 = 4*v - 4*j, -2*v + 4*j - 1004 = -w. Round v to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-70)\/(-4) - (-9 - 85\/(-10)). Suppose -128 = 3*d - 7*d. Calculate the least common multiple of s\/(-5)*(20\/(-10) - 3) and d.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1121 + 10?\nAnswer: 1131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**2 + 14*m**3 + 0*m**2 - 9291*m**4 - 9*m + 9326*m**4 - 12*m**3 to the form z*m**3 + h + x*m**2 + l*m**4 + q*m and give l.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*a + 3*a - a)*(5 - 2 - 2)*(0*a**3 - 2*a**3 + 4*a**3).\nAnswer: -10*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 divided by -50?\nAnswer: 8\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4*n = -94, 2*f - 4*f + n + 161 = 0. List the prime factors of f.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w*w*w**(2\/3)*w*w*w**(1\/3)*w*w*((w\/w**3)\/w)**24 assuming w is positive.\nAnswer: w**(-64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1721.\nAnswer: 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 5:51 PM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -2*w**3\/3 + 9*w**2\/2 - 43. What is m(6)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2192495 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/9)\/g)\/g)\/(g*(g\/(g*g**9*g))\/g)*g*g\/g**4*g*g*g**(1\/27) assuming g is positive.\nAnswer: g**(211\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 4 = 2*t. Suppose -4*f = -t*f - 10. Suppose -f*d + 2*q = -d + 3320006, d + 830003 = q. What is d rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100101 (base 2) in base 11?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t**2 - 18*t - 44. Calculate x(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -116 - -116. Let a(i) = -6*i + 134. Let l(d) = 5*d - 133. Let g(r) = -6*a(r) - 7*l(r). Is g(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + -6 + 4 - 0) + -9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 64, 163, 274, 403, 556, 739, 958?\n\"Answer: o**3 + 92*o - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 1:00 PM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-60))\/(3*28\/(-96))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 491*h**2*i**3*q - 40*h**2*i*q + 6*h*i**3*j + 2*h*j*q - 100*i**3*j*q - 3*i**2*j + 32*i**2*q - 37*i*j - j*q wrt i.\nAnswer: 2946*h**2*q + 36*h*j - 600*j*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 4 = 0, 3*i + 37 + 20 - 159 = -5*i + 5*m + 22 for i.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e + 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**2 - 5*b**2 + 5*b**2 + 2*b**2.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 425 * -0.05213\nAnswer: -22.15525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7 - -4) + (-21)\/(-6)*2. Let l be (1 + t)*(-6)\/5. Let x(m) = -m**2 - 7*m - 6. Give x(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 9:24 PM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 85 and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-4)\/6)\/(2 - 2361\/1179).\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 57 + (-1 - (0 - 4)) + 11 + -25 + 18\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4) - sqrt(4)*4*-3)\/(1*sqrt(4)\/sqrt(2)).\nAnswer: 13*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/32*-6*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14912853 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 300 and 32.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-6 - -4 - (2 - 11)) - -43.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**5\/7 + 2*j**4 + 12*j**3\/7 - 108*j**2\/7 - 270*j\/7 - 162\/7 = 0 for j.\nAnswer: -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*v = -0*v + 8*v - 299 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 272089189?\nAnswer: 83, 673, 4871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.3 - -4. Suppose 3*k - 10 = -2*p + 5, 0 = 5*k - p - 12. Which is the closest to 0.3? (a) -0.2 (b) r (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -14, 2103.3, -0.3 in decreasing order.\nAnswer: 2103.3, 2, -0.3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-80)\/28 - 2808\/(-13923).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 1237*y + 470. Is t(41) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1260*v*y**2 - 3171356*v - 29*y**2 + 32*y wrt y?\nAnswer: -2520*v*y - 58*y + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 274347*h**3 - 80*h + 38*h + 42*h - 274313*h**3.\nAnswer: 34*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -5*d - 25. Let w be o(-4). Let t(n) = n**2 + 58 - 58. Let x(p) = -p. Let g(q) = w*t(q) + 4*x(q). Find the second derivative of g(y) wrt y.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of -13*s**4\/12 - 7*s. Let z = 47 + -42. Let w(r) = -3*r + 5 - z + 0. Calculate h(w(u)).\nAnswer: -117*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4350?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-972)\/891 - (-6246)\/5544\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = 12*p - 19896. What are the prime factors of p?\nAnswer: 2, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 19 and -18513921.67.\nAnswer: -18513902.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 11 = 5*l. Let b = l - 2. Let w = -1494\/11 + 20971\/154. Are b and w non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68*-268.\nAnswer: -18224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of 0 - 3\/2*g**2 + 0*g**3 + 0*g**4 + 8*g + 1\/10*g**5. What is the first derivative of w(d) wrt d?\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1473)\/3437)\/((-3)\/((-63)\/6))*85\/30?\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-38 - 3 - (5 + -6) - 4)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 4:54 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*q + 826 - 3*q + 16*q.\nAnswer: 46*q + 826","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**2. Let n(v) = -v - 6. Let o be n(-8). Let i(y) = -7*y**2 + 8*y**o - 8*y**2. Calculate m(i(g)).\nAnswer: 98*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4 = -a, 3 = 3*a - t - 2*t. Suppose -s + a*u - 14 = -3*s, 4*s - 25 = -u. Find the third derivative of -y**s - 5*y**2 + 2*y**2 + 0*y**6 wrt y.\nAnswer: -120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 470*p - 470*p + 59*p**3 - 713*p**3.\nAnswer: -654*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6415*i**3 + 50*i + 18852*i**3 - 7928*i**3 - 50*i.\nAnswer: 17339*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c. Let n be r(-5). Let i(k) = k - 3. Let y be i(n). Let d be y\/7*(-1 - -8). Solve 0 = 3*f - 4*s - 11 - 3, 0 = f + d*s + 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*g**3*n**3 + 181*g**3*n**2 - g**3*n + 4*g**2*n + 3*g**2 + 3*g*n**3 + 82*g*n wrt g?\nAnswer: 114*n**3 + 1086*n**2 - 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6940 rounded to the nearest one hundred?\nAnswer: 6900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -14 + 3 - -2 - 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 4. Let u(c) = c - 4. Let m be (-12)\/8*(-6 + 4). Let g(y) = m*u(y) + 4*p(y). Let n(w) = -w**2 + 13*w + 17. Determine 9*g(o) - 2*n(o).\nAnswer: 2*o**2 + o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -14 + -3 + -12 + 10 + 12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p**2 + 2*p - 2. Let d(t) = 2*t**2 + t - 1. Let g(f) = 4*f - 37. Let q be g(11). Give q*d(l) - 4*z(l).\nAnswer: 2*l**2 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - sqrt(567)) + -1 + ((3 + sqrt(7))*-1)**2.\nAnswer: -2*sqrt(7) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - 2*d + d)*(12752 - 12752 - 462*d**4) - 3*d**5 - d**5 + 5*d**5.\nAnswer: -461*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*(s*s**(-5)*s)\/s*s\/s**(-4))\/((s\/(s\/(s\/(s*s*s**(1\/4)*s))))\/s*s*s**5))\/((s**1)**(-10\/9)\/(s**(-6)*s*(s**0*s*s*s*s)\/s)) assuming s is positive.\nAnswer: s**(-23\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3389607 to the power of 1\/2, to the nearest integer?\nAnswer: 1841","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000566898 to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 1) + -2 + 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1757*u + u**2 + 568*u + 0 + 575*u + 572*u + 1 to c + h*u + x*u**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x + 234 = -32. Let h = x + 21. Solve -h*l + 13 = -3*c, 5*l = 5 + 5 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74\/5 of a litre in millilitres?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20102210112 (base 3) to base 10.\nAnswer: 126698","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*3*sqrt(110))\/(1*3*sqrt(10)) - ((sqrt(308)\/sqrt(7))\/sqrt(4) + sqrt(539)*-1 + sqrt(539))*4.\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1877389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -123211202 (base 4) to base 14.\nAnswer: -2d270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 divided by 41.\nAnswer: -25\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -4*f - 3. Give x(-14).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 793944 and 114724908.\nAnswer: 229449816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-956)\/(-7) - (-3)\/7?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45066 and 222?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of -o**6\/120 - o**5\/30 + o**4\/24 - 2*o**3\/3 - 45*o**2. Let x be w(0). Let f(h) = h**3 + 3*h**2 - 6*h - 4. Calculate f(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + 19*a**2 - 21*a - 25. Let q be w(-20). Let g(d) = 8*d**2 - 6*d - 21. Is g(q) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lvlqqlvllllllrrqv. Give prob of picking 2 r.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkxrrrrxrrkrxrrrxkr. What is prob of sequence rx?\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -18129554 > -217554655\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 10:56 AM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -232*z + 473*z - 225*z.\nAnswer: 16*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9429?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i**2 - 7*i**2 - 4*i**3 + i**3 + 2*i**3 = 0 for i.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 3083811577?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 14. Suppose u + z*u - 25 = 0. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + r**2 + 10*r - 4. Let b(x) = 2*x**3 - 3*x**2 - 31*x + 11. What is 4*b(c) + 11*v(c)?\nAnswer: -3*c**3 - c**2 - 14*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 4)*(4*r**2 + 0*r**2 - 2*r**2)*(-2*r**2 + 4*r**2 + 3*r**2).\nAnswer: 40*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of -400*f**7\/7 + 325*f**4\/2 - 782*f. What is the third derivative of c(u) wrt u?\nAnswer: -144000*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3123010 (base 5) in base 13?\nAnswer: -1a667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -168, -178, -190, -204, -220?\n\"Answer: -o**2 - 7*o - 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(132) - 4*-2*sqrt(132))\/(sqrt(60)\/sqrt(5)*-2).\nAnswer: -9*sqrt(11)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + 18*g + 138. Let f be n(29). Do f and -1\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1751354 and 506?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/4448 - -35581\/13344. What is the smallest value in -2\/7, -2\/17, 3, p?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 66\/444629?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -675914*l**3 - 2*l**2 + 158038.\nAnswer: -4055484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - c - k = -251, -212 = 3*c + 4*k. Let u = c + 93. Solve 5*m - u = -4*y, y = -2*y + 4*m - 17 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 120844258?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 5:56 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -7*v. Let w be 2\/(-1)*2\/(-4). Suppose -3*g - 21 = -5*k, 5*g + 5 = -2*k + w. Let o(m) = -9*m - k*m + 22*m - 9*m. Calculate u(o(h)).\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 647.7 - 648. Suppose 3 = 5*t - 7. Suppose 0*g = -3*k + t*g - 11, 5*k + 2*g + 13 = 0. What is the third smallest value in -0.39, k, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**1*h)**(11\/3)*(h*h*(h\/(h*(h**(-1\/4)\/h)\/h)*h)\/h)**(-1\/66) assuming h is positive.\nAnswer: h**(317\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-14)\/(-133) + (2154528\/114)\/6 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -3*q**2. Let i(m) = 6*m**2. Calculate i(s(d)).\nAnswer: 54*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 131883772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -5*p + 18. Let i be f(3). Suppose -i*l + 2*l = -20. What are the prime factors of (-35)\/l*6*(-56)\/6?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 6:30 AM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1093432204?\nAnswer: 2, 273358051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 113 - -a?\nAnswer: 11d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of m**6\/60 + 11*m**3\/6 - 6*m**2 + 2*m. Let v(c) be the first derivative of o(c). What is the derivative of v(x) wrt x?\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7555 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -94*k + 26. Let r be o(9). Let t = r + 1239. Suppose 5*x + 5*j = 440, -5*x - j + t = -3*j. Does 13 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (-18)\/3*8\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 484 is divided by 99?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(1\/10)*p*p*p**(-10) assuming p is positive.\nAnswer: p**(-79\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -2*x - 6, -5*z - 5*x - 14 = 1. What are the prime factors of z + 2 + (56 - -5)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -260 > -1555\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*g*p**3 + 8*g - 505718399*p**3 - 41320008 wrt p?\nAnswer: 6*g*p**2 - 1517155197*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41031, -82057, -123083?\nAnswer: -164109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - 1*2*-2. Suppose 2*i = 2*n, -5*n - 2*i - 1 - 13 = 0. Put n, 0, g in decreasing order.\nAnswer: g, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53934 rounded to the nearest one thousand?\nAnswer: 54000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30208*v**4 - 206*v**3 + 12*v**2 + 1662856*v - 1 wrt v.\nAnswer: 724992*v - 1236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of -u**6\/60 + u**5\/20 - 5*u**3\/3 + u**2. Let w(o) be the first derivative of p(o). What is the second derivative of w(g) wrt g?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s - 16 + 46 = 0. Let l(r) = 4*r**2 - 2*r + 12. Let z(f) = -13*f**2 + 5*f - 35. Let g(n) = s*z(n) - 8*l(n). Is g(10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 4 - 56*h**3 + 53*h**3 - 1 + 0.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-2)*(-32)\/(-6). Let w = k - 12. Let j = -34 - -34. Put j, -1, w in descending order.\nAnswer: j, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(8 - 10) + (-5)\/1. Put 401, q, 3 in ascending order.\nAnswer: q, 3, 401","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2\/9 (b) 0.6 (c) -2\/3 (d) 272 (e) -5 (f) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 24*z - 1. Let k be r(-1). Let w be 20\/3*(-30)\/k. Suppose 13*u - 190 = w*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 7 (b) 3\/5 (c) -0.1 (d) 3 (e) -4\/67 (f) 4.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of y**6\/120 - y**5\/60 - 11*y**3\/6 - 13*y**2. Determine u(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 5*w + 2 = 0, -2*n = -0*n - 2*w - 20. Let m = n - 6. Suppose 2*z = 2*p - 16, -5*p + 11 = -m*z - 20. Solve 0*o - 5*g = 3*o - 1, p*g = -2*o - 1 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1100) + -1 + sqrt(99)*-1.\nAnswer: -1 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 22424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -268384 (base 9) to base 14\nAnswer: -438ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y + 1. Let k(c) = -7*c**2 - 20*c + 5. Let p(z) = -5*f(z) + k(z). What is the second derivative of p(n) wrt n?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -3, 1236, -35, 1, -33 in descending order.\nAnswer: 1236, 3, 2, 1, -3, -33, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 - -24. Is 2\/3 at least f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1370*x**2 - 1969*x - 260187239 wrt x.\nAnswer: 2740*x - 1969","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + 45*r - 3348. What is z(36)?\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-55*v + 8 - 54*v + 107*v)*((2*v - 5*v - 2*v)*(-v - 1 + 1) - 2 + 2*v**2 + 2).\nAnswer: -14*v**3 + 56*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65450, 64657, 62508, 58325, 51430, 41145, 26792?\nAnswer: 7693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 (base 14) in base 10?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1461916 is divided by 130?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 3*c - 22, -2*c - 5*s + 148 = 127. What is the smallest common multiple of 372 and c?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.353 - 0.204. Which is greater: 2 or a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 27 = -3*k + 16, 4*k = -4*h + 52. Suppose -4*z = -k*z + 300. What is the highest common divisor of z and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3499\/9 - 389. Which is the nearest to 1? (a) -16 (b) -3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1082 + 220. Suppose 6*c + 40 = 4. Is 4\/c*l\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 + 1 - 1)*(4 - 4 - 1)*(12 - 3 + 5).\nAnswer: -14*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 6:55 PM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11936863 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of g**8\/168 + g**7\/42 + g**6\/30 + g**5\/60 + 7*g**2\/2 + 4*g. Let j(k) be the first derivative of p(k). Factor j(t).\nAnswer: t**2*(t + 1)**2*(2*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -33150 + 3?\nAnswer: -3314a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44697 is divided by 7428.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/136 and 1\/204.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*u - 18 = -72. Let p(y) be the first derivative of -1\/6*y**2 + 1\/12*y**4 + 1\/9*y**u + 0*y - 1\/15*y**5 + 7. Factor p(n).\nAnswer: -n*(n - 1)**2*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + 47*y - 48. Determine p(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -72*o**3 - 596*o**2 + 488*o + 180 = 0. Calculate o.\nAnswer: -9, -5\/18, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**2 + 2*j**2 + 1017*j - 1017*j + 2*j**3.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, -1, -5 in decreasing order.\nAnswer: -1, -5, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 950?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*q - 350283 = -350039 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/8*546\/455. Which is the third biggest value? (a) n (b) -3 (c) -8 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**3 - i + 9*i**4 - 10*i**4 + 205*i**2 - 200*i**2 to f*i + q*i**4 + b*i**3 + v + x*i**2 and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**3 - 232*g**2 - 13685*g - 26450 = 0. What is g?\nAnswer: -115, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 247 + -56. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 2*o - 78. Suppose 0*x - 2*x + o = 0. Suppose k + x = 4*k. What are the prime factors of k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 416 and 3168.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-564925)\/(-59))\/((-1)\/(-3)). Suppose 0 = -3*i - l + 6375. What is i rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5651 times 5377\nAnswer: -30385427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25 and 20.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -146\/7, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10629\/4 + -2657. Let d = 2 - 1.8. What is the closest to 0 in f, d, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 - -27. Sort -9, 3, u, -1 in decreasing order.\nAnswer: u, 3, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m. Let o(v) = 28*v. Let k(b) = 84*b. Let r(q) = 3*k(q) - 8*o(q). Determine u(r(i)).\nAnswer: -28*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 46 = -56. Let g = 58 + d. Suppose 3*a - 2*i + 7 - 2 = 0, -3*a = -4*i + 13. Solve -5*z - g = a for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17147\/10472 + -1\/952. Factor 16\/11 + 2\/11*v**2 - b*v.\nAnswer: 2*(v - 8)*(v - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -326 + 367.8. Let x = 42 - i. Which is the nearest to x? (a) 1\/6 (b) -1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 212, 6, 0.032?\nAnswer: 212","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 3122215 + 10928660 = 4*s, 5*d - 6*s = 7806445. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2c6 - 7?\nAnswer: 2bf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16049385 and 10699590.\nAnswer: 32098770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(180) + -2*sqrt(180)*1)*-3.\nAnswer: -90*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2458004580 + -2458004504.99999969. Let v = -75.093 + 0.093. Let y = r + v. Round y to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, 112, 231, 398, 613, 876?\nAnswer: 1187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c + 560 - 560. Let r(u) = 2*u. Let h = -19 - -21. Calculate h*r(n) - 3*v(n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202*q - 103*q = 103*q + 2*t + 56, 0 = 5*q - 4*t + 83 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 1 - (18 + -3 - 11)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*a - 100 = 125*a - 3*b, 2*b - 95 = -5*a for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vwxvwvaaxxvfavvsxfw. Give prob of sequence vawv.\nAnswer: 15\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*n**3*w + 4*n**3 - 79*n**2*w - 948*n**2 - n*w + 5154530*n wrt n?\nAnswer: 12*n*w + 24*n - 158*w - 1896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 322*g = 325*g - 2*z + 12, -3*g + 4*z = 12 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.233 - 5.233. Let q = -21\/4 - -5. Suppose 3*i + 7 = -11. What is the second smallest value in i, q, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = -4*g + 16, l - 24 = 2*g - 26 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 11:01 AM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-10 + 3) - (4 - 5)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1097 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: Find the common denominator of (-50)\/(-3465)*24\/64 and 43\/5082.\nAnswer: 10164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 79.8189 - 0.4789. What is w rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*-6*(1 + sqrt(1872)) - (-1 + (sqrt(1872) - (-4 + 1*sqrt(1872)))))*-6)**2.\nAnswer: 435456*sqrt(13) + 38833668","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**3 - t**3 - t**3)*(-5*t - 7*t**2 + 5*t).\nAnswer: -14*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 950, 1745, 2540, 3335?\n\"Answer: 795*g + 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -511 = -3351*d + 3424*d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 + 2*l + 21. Give s(-7).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 285 - 129. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12838346 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3419960?\nAnswer: 2, 5, 193, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 6*l - 7*l)*(-5 + 5 + 25*l**2).\nAnswer: -300*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w**4 + 3*w**4 - w**4 + (-3*w**2 + 0*w**2 + 2*w**2)*(-3*w**2 - w**2 + 2*w**2))*(-w - 2*w + w).\nAnswer: 2*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2406251, 2406253, 2406255, 2406257?\n\"Answer: 2*s + 2406249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 10\/22003?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*z = -33*z - 15. Let g be 15\/36*z*-4. Let r(j) = 6*j**2 - 2*j + 1. Let w be r(1). Solve 0*v + g*v - w*f + 15 = 0, 5*v + 4*f - 3 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/50 of a second?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3 + 0 + (3 + -5 + -1*sqrt(288))**2).\nAnswer: 288*sqrt(2) + 1770","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 9292153.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*y - 803 = 4117. What is the lowest common multiple of y and 12?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 157063 + -58014. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/8 - 2421793*c\/4 + 5865081334849\/8.\nAnswer: (c - 2421793)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - l - 2, -2*l + 2 = -2*x + l. Let t = 3 + x. Suppose 0 = -t*a + 33 - 7. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -828*q - 58. Let s be m(-1). Let w = 806 - s. Let h = 268 + -178. Calculate the highest common factor of w and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 2 = -u. Let c = -6 - -8. Suppose -2*f - c = -0*f. Sort 5, u, f in increasing order.\nAnswer: f, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 267 a factor of 410259384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 7*q**2 + 8*q - 7. Let y be u(6). Suppose -w + 57 = h + w, 58 = h + w. Let t = -54 + h. Calculate the greatest common divisor of y and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) + sqrt(190)*2*6 - sqrt(190))\/((sqrt(250) - sqrt(10))*-6).\nAnswer: -sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 658, 667, 690, 733, 802, 903, 1042, 1225?\n\"Answer: n**3 + n**2 - n + 657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from srirsrtiisrrrsittir. Give prob of picking 1 r and 1 t.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-14))\/((23862\/(-35793))\/(((-77)\/9)\/1)).\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -14, 5, -2\/5, 1\/2, -0.028?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20359?\nAnswer: 20359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-964)\/5*(-8)\/((-128)\/(-40))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1152 a factor of 3570444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3014.807 nanograms to milligrams.\nAnswer: 0.003014807","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -76*-55\nAnswer: 4180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172 is divided by 63.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + (sqrt(16) - sqrt(4))\/sqrt(2) + (sqrt(160)\/sqrt(5))**2.\nAnswer: 2*sqrt(2) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 9 and 1981\/190 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 9. Calculate the remainder when 40 is divided by p\/14 - (-29)\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2 + 2*z - z + z. Let c be x(-2). Let r(w) = -2*w**2 + 2*w + 1. Let f be r(2). Let s(j) = -3*j**3 - 2. Let d(u) = 4*u**3 + 3. What is c*d(l) + f*s(l)?\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1816 - -1816. Are 369 and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/22 + 546\/22. Suppose 0*t = 3*t - 3*q - 30, i = 2*t - q. Does 5 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 + -10. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/((-1)\/(30\/110*11)*(-9)\/12)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 827 + 145. Suppose 5*w = i + 446. What is the greatest common divisor of 70 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.0556 in 0, -15\/4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(21\/27)*(-3 + 10). Let y(j) = j + 1. Let z be y(-5). Let x be z\/(-16)*-2*-6. Solve 2*t + 3*t = 3*g - v, t - x*g = 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -5.7. Suppose 1 = 2*k - 5. Let m = k + 0. Which is the second smallest value? (a) m (b) j (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18086*d = -18042*d - 1716 for d.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -686 - -709. Calculate the greatest common factor of 253 and v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m - 24. Let j be a(18). What is the greatest common factor of 120 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -158, -318, -478?\n\"Answer: -160*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 64.5 - 8.5. What is the second biggest value in a, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 2*s - 229, -s - 273 = -3*j - 41. What is the remainder when j is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - 25*k**2 + 2*k - 23. List the prime factors of r(-26).\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3399772*h**3 + 6*h**2 - h + 3985378.\nAnswer: -20398632*h + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 3:04 PM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of 2*a**5\/5 - 3*a**4 + 26*a**3\/3 - 12*a**2 + 8*a + 2249. Suppose q(s) = 0. What is s?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 13676783 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-168)\/20 - (-1)\/(10\/(-6))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16206203 divided by 3?\nAnswer: -16206203\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o\/((o**(-8)*o)\/o)*o**5*(o**(-6)*o)\/(o**6\/o) assuming o is positive.\nAnswer: o**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1331, 2\/7, -144, -2\/3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1011000110010001 (base 2) to base 12\nAnswer: 22381","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + b**2 - 4)*(53 - 26 - 43) + 0*b**2 + 4*b**2 - 2*b**2.\nAnswer: -14*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 6\/7, -4, 22?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3901 - 839. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 871 times -0.4?\nAnswer: -348.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 455247, 910495, 1365743, 1820991?\nAnswer: 2276239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -694d35 (base 14) to base 7.\nAnswer: -42324365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -84*r**2 - 592. Let w(h) = 3*h**2. Give w(j(p)).\nAnswer: 84672*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23435450 (base 6) to base 8.\nAnswer: 2635526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + a - 572, -5*a = 5*w + 121 - 1081. Suppose -4*s - 4*z = -764, -s = 3*s + 3*z - 763. Suppose 0 = -10*h + w + s. List the prime factors of h.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 129\/(-12) - 24\/(-32). Let u be (a\/4)\/((-7)\/14). What is the first derivative of 24*g**2 - 35*g**2 + u + 5 wrt g?\nAnswer: -22*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 369, 5, -5, -1, -17, 4, -2 in decreasing order.\nAnswer: 369, 5, 4, -1, -2, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2\/41)*x*x**43*(x**(18\/11))**(1\/34) assuming x is positive.\nAnswer: x**(337343\/7667)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 150 by -172176.\nAnswer: -25\/28696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 15078, 15082, 15088, 15096, 15106?\n\"Answer: u**2 + u + 15076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1444 and 32851.\nAnswer: 131404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 7*y**2 - 10*y**2 - 11*y**2 - 5*y**4 + 27*y**2 to the form o*y**4 + z*y**3 + m*y + a*y**2 + g and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence koe when three letters picked without replacement from eekoyce.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f + f + 5*f**2 - 4*f**2 - 3. Let l(p) = -6 + p + 0 - 4. Let v be l(8). Determine n(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.1 * 48841\nAnswer: 53725.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30 + -30. Find o such that 0*o**4 + o**3 + c + 0*o**2 - 1\/2*o - 1\/2*o**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 462 + 2398?\nAnswer: 2860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - v + 491, -2*v = 8*d - 7*v - 812. Suppose -4*o = -7*o + 171. What is the smallest common multiple of d and o?\nAnswer: 1881","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152709569 less than 152709570?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.08, 0.09, 4, 3?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1296 - 1296 + 187*n - 174*n.\nAnswer: 13*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931)*2*-4)**2 + sqrt(931) + 0 + -2 + 0.\nAnswer: 7*sqrt(19) + 59582","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1755, 74, 1, 4, -0.006?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 158879 a multiple of 315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 6*f**2 - 5*f - 4. Let m be l(4). Suppose m*t - 3*t = 0. Suppose 0*w + w = t. Solve w = -g + 5*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of n**9\/3024 - n**7\/504 + 11*n**4\/24 - n**3 + 80*n**2. Let g(z) be the second derivative of f(z). Factor g(r).\nAnswer: 5*r**2*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 545192?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 7*t = -64. Let u = t + -52. Calculate the remainder when 35 is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - -3 - (3 - (-6 - -40)). Let d be (118\/6)\/(t\/(-42) - -1). Suppose 2*x - d = 20. Calculate the remainder when x is divided by 25.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*h + 2*h + 8. Suppose 0 = -2*k - r + 350, 0 = -h*k - 2*r - 3*r + 358. List the prime factors of k.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-75)*3)\/((-1)\/5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1330233 (base 4) to base 16.\nAnswer: -1f2f","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(17) - (sqrt(153) + -5))*-6.\nAnswer: -31 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 62958*y + 62956*y = 47, 117 = 13*b - 2*y for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 8:16 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6052 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20260\/9 + 1864415\/828. Calculate the common denominator of d and 131\/6.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, o: 3, u: 1, k: 2, m: 1, q: 6}. What is prob of sequence jkjm?\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 4:27 AM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 44*o - 33072. Calculate the greatest common factor of 13 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 198600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2915320\/133 - 21920. Find the common denominator of n and 43\/11.\nAnswer: 1463","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {v: 3, o: 3, i: 2, u: 1, j: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 3341070*k. Let p(g) = -8*g. What is p(j(t))?\nAnswer: -26728560*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 155*m + 1 - 152*m + 52*m**3 - 51*m**3 + 2*m**2 to the form b + n*m**3 + g*m**2 + u*m and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 plus -4490620050766?\nAnswer: -4490620050765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2301 or -10?\nAnswer: 2301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-13))\/((-956)\/(-6214)). Let b(x) = 7*x. Let c be b(3). Which is smaller: g or c?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -0*y + y + 31, -44 = -4*n - 4*y. Solve 0 = 3*w - 8 - n for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 197 - 59?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 + 4*k - 7. Let c be m(-6). Suppose -3*b + 7 = -2*u - 3, -4*u = -c*b + 16. Let q = -4 + -1. Sort 3, u, q.\nAnswer: q, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1103 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-18)\/30)\/(5\/(-24850)). What is g 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 value of -7 + 2 + 0 - -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**3 - 3*g**2 - 2*g + 4. Give i(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 196 divide 335419986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*4\/384)\/((-1)\/(-2))?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 329068018?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -0.2, -4, 3\/7, 9\/8, -8 in descending order.\nAnswer: 9\/8, 3\/7, 0.2, -0.2, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/30)\/((3\/(-45))\/(49\/(-42)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30 + 33. Suppose 16 = -f*j - j. Let v(u) = u + 9. What is the units digit of v(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 72?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124 is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of o**5\/60 + o**3\/6 + 4*o**2. Let a be q(3). Suppose a*w - 5*w = 40. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 5*o - 6 = 0, -o + 2*o = 2*s + 6. Is 9 a factor of (-4)\/(-5)*(-90)\/s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of 3*w**2 + 0*w + 3\/8*w**4 + 1\/30*w**5 + 1\/6*w**3 - 29. What is i(-7)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5 and -121.807611389.\nAnswer: -126.807611389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -66071296 divided by -4129456\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7526969 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 11670.\nAnswer: 7\/11670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9036329, 18072654, 27108979, 36145304?\nAnswer: 45181629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2 (b) -57.1 (c) -3 (d) -2 (e) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 61, 115, 193, 301, 445?\nAnswer: 631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 11*u**5 - 24*u**4 - 19*u**3 - 24*u**2 - 23*u - 17. Let o(r) = 4*r**5 - 8*r**4 - 6*r**3 - 8*r**2 - 8*r - 6. Let l(f) = -6*c(f) + 17*o(f). Factor l(h).\nAnswer: 2*h*(h + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 1. Let w = 126823178\/219681735 - -5\/738426. Let j = w - 1\/170. Is j smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - 6*y - 5. Let f be p(7). What is the remainder when (71 - 3)\/f - 3 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 5*b + 280 = 0. Let l be (-2)\/(75\/b + -2). Calculate the greatest common factor of 4 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60647 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of 19*v**4\/4 - 16*v**3\/3 - 17. Find the third derivative of w(i) wrt i.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7.726557 meters?\nAnswer: 7726557000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m\/(m\/m**(-1\/3)*m)*m)**(20\/3)\/(m**(2\/7)*m*m**(-1\/11)*m))\/((m**(-3\/4)*m)\/m**(2\/25))**(7\/5) assuming m is positive.\nAnswer: m**(3007033\/346500)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1688207183?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 4*v**2 + 2*v. Let b = 14 - 14. Suppose 2*g + b*g + 4 = 0. Let u(r) = 27*r**2 + 15*r. Let f(w) = g*u(w) + 15*m(w). Let a(q) = -2*q. Determine a(f(t)).\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -23, -63, -139, -263?\nAnswer: -447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2*-1 + 1)*-19. Let i = r - -7. Solve 0 = 5*v + 2*d + i, 0 = -v - 0*v + 4*d + 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4021.\nAnswer: 4021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1927*p**2 + 6*p - 119?\nAnswer: 3854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -1112*c**3 - 10*c**2 + 5*c - 36. Let d be k(-12). What is d rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 165224 + -113224. Round g to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -44\/344829 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 106 - 244?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2455\/407 - 92\/37. Let o = 529\/143 - z. Which is the nearest to 0? (a) -0.1 (b) o (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 52*u**5 + 1009*u**3 - 3*u**2 + 18831 wrt u?\nAnswer: 3120*u**2 + 6054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 + -13. What is the least common multiple of a and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -97649 divided by -1?\nAnswer: 97649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -3392. Calculate the greatest common divisor of x and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -344022332102 - 10?\nAnswer: -344022332112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 190467 and 216.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -12.78, -2\/9, -5\/7.\nAnswer: -12.78, -5\/7, -2\/9, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 6:50 AM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w + w**2 + 28*w**3 - 2*w - 6253 + 6251 to l + j*w + u*w**2 + s*w**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 21*f**2 - 42*f + 4. Let r(w) = -32*w**2 + 64*w - 7. What is -8*g(j) - 5*r(j)?\nAnswer: -8*j**2 + 16*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 410*p - 427*p = -482018. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13 - 14 + 31 - 3*l)*(12*l - 2*l + 7*l) to g + o*l**2 + r*l and give o.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -843719, -5 in decreasing order.\nAnswer: 2, -5, -843719","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 22*r - 18*r - 22, 19 = r - 5*q. Suppose -4*u = -4*z - r, 6*z = 10*z - 12. Factor -2\/11*l**u - 4\/11 - 14\/11*l - 18\/11*l**2 - 10\/11*l**3.\nAnswer: -2*(l + 1)**3*(l + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u**2 - 5. Suppose -17*g + 16*g - 12 = -3*l, -l = g. Let b(r) = -14*r**2 + 49. Let v(j) = j**2 - 3. Let i(p) = l*b(p) + 49*v(p). Give i(x(h)).\nAnswer: 63*h**4 - 210*h**2 + 175","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3*n + 2. Determine b(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/7)\/k)\/k*k**(-2)*(k*k**(-1\/37)*k)**(-21) assuming k is positive.\nAnswer: k**(-11841\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 509194943 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 183*0.02.\nAnswer: 3.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21972834 to the nearest integer?\nAnswer: 4688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 193*q**2 - 2. Suppose 0 = 2*r + 2*i + 22, 5*r = 2*i - 6 - 42. Let v(y) = y**3 + 12*y**2 + 20*y + 1. Let s be v(r). Is k(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 3 - (-82 - -80)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence asq when three letters picked without replacement from {a: 3, w: 5, x: 3, q: 4, s: 3}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5 - ((-6 - 4) + 6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 181*f + 905. Determine c(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -11, 5, 27, 55?\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uyayaauuaaau. Give prob of sequence uyu.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 14242?\nAnswer: 14243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 28643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5\/3 (b) -43\/2649 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -26 less than -63\/30139?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -117118*l**3 - 2*l**2 + 117181*l**3 + 3 + l**2 to b*l + j*l**3 + u*l**2 + n and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -460942, -459077, -457212, -455347?\n\"Answer: 1865*a - 462807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1)\/f**(-6\/19) assuming f is positive.\nAnswer: f**(-13\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3772347547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -45773\/275 smaller than -166?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 418606995 to the power of 1\/3, to the nearest integer?\nAnswer: 748","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of m*r**2*z**2 + 2*m*r**2*z - 71*m*r**2 + 25*m*r*z**3 - 2*m*r*z**2 + 3*r**2*z**3 - 2*r**2*z**2 + 37*r - 173*z**3 wrt z?\nAnswer: 150*m*r + 18*r**2 - 1038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-5 + 4 - 1) + 9 + -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1102 = 5*a + 267. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21343 and 9?\nAnswer: 192087","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 38964549 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 8, f: 4, z: 2, k: 5}. What is prob of picking 2 k and 1 f?\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12714 - 12464. What is the remainder when 1274 is divided by a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/257 + 1018\/1285. Let f be 2 + 6\/10 + 3\/(-5). What is the closest to 1 in -1\/3, f, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -633*y**3 - 28*y**2 - 9*y. Let m(l) = 634*l**3 + 25*l**2 + 8*l. Let z(a) = 5*h(a) + 6*m(a). Find the third derivative of z(i) wrt i.\nAnswer: 3834","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 57\/5 of a litre?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-16)*(-20)\/(-5)*18. Let u = r - 14. What is the nearest to u in 0.3, -2\/9, -33?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 1\/6, 0.2, -0.5, 0.07?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 655.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4667 - u + 14004 - 4668 - 4669.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52\/12039 and 119\/12?\nAnswer: 48156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 + 32 = -4*b. Let z = 38 - 54. What are the prime factors of b\/z*(-4)\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4*s = -3*y + 16, -4*y + 4*s - 4 = 0. Suppose 4*w - 3*w - 4 = 0. Solve y*v + 14 - w = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, j: 16}. Give prob of picking 2 f.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 6. Let w be (-1)\/(11\/d - 3). Find the third derivative of -w*r**2 - 3*r**4 - r**2 - r**2 wrt r.\nAnswer: -72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/((g\/g**(-1))\/g)*g*g*g*g*(g**6*g)\/g)**(-10\/11)\/((g**7\/g*g)\/g**(-3\/5)*((g**(1\/4)\/g*g)\/g)**(-35)) assuming g is positive.\nAnswer: g**(-877\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 24 = 2*a. Let x = a + -8. Is ((-31)\/(-5))\/1*x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 - -0.34. Let p = -0.06 - i. Let u = p + 0.1. What is the closest to u in -2\/3, 5, 0.5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41963694 divided by 17617\nAnswer: -2382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 5*f**4 + 230*f**3 + 945*f**2 - 240*f - 950. Let a(t) = -2*t**4 - 77*t**3 - 315*t**2 + 80*t + 317. Let c(g) = -10*a(g) - 3*d(g). Solve c(z) = 0.\nAnswer: -8, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 1\/2, -19, 1, -0.6, -1?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1368215.78 to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 0*u + 0*u + (0 + 0 + 2)*(-2*u + 3*u + u))*(-1 + 3 + 1)*(-2 - 2 + 3)*(4664 - 8884 + 4598).\nAnswer: -6804*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-55*q**4 + 42*q**4 - 4 + 3)*((0 + 0 - 2)*(q - q - 2*q) + 2*q + 0 + 0).\nAnswer: -78*q**5 - 6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.03 (b) -0.3 (c) 3\/2 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15503 to the power of 1\/2, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 + 4*a + 8. Let w be v(-2). Sort w, 7, -3 in increasing order.\nAnswer: w, -3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 1\/80206?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -371*h + 1485. Let y be f(4). Which is the nearest to 2? (a) -2\/9 (b) -83 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12201122221 (base 3) in base 11?\nAnswer: 77790","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2592 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1808130823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4\/7, 6.5, 448, 1, -6?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Does -1544166 = -1544173?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112906153.\nAnswer: 5323, 21211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1123 + -216612420.\nAnswer: -216613543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 130 and 61555?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 381607 (base 9) in base 15?\nAnswer: 48607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 15207\/(-10170) - 3\/(-2). Let g = q - 31664\/5085. Find the common denominator of -67\/4 and g.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-210)*(-5152)\/(-64))\/((-1)\/4).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/(-4))\/(36\/(-4)). Let x = 7.9 - 12.9. What is the second smallest value in -9, x, b?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggslfvsfsslfgxls. What is prob of sequence ss?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 - 6*n + 8. Let u be k(-6). Let t(r) = 10 + r + 3*r - 5*r. Let h be t(u). Which is the nearest to 2\/5? (a) h (b) 3\/7 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (35\/(-15) - -1)*(4625\/220 + -21)\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12074 - -12080. What is the fifth smallest value in 5, -0.3, d, 10, -1\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a gram in milligrams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2. Suppose -5*q - 3 = 7. Let h(w) = w**2 + w + 1. Let c(g) = q*a(g) - h(g). Is c(-3) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/5)*a)\/a*a*a*a**(5\/6)\/a*a)**(1\/2)*(a**(-6)\/a**6)\/(a\/a**(-1))**(1\/4) assuming a is positive.\nAnswer: a**(-677\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 - -40. What is the remainder when 82 is divided by q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 7, f: 3}. What is prob of picking 3 f?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1392245, -2784484, -4176723, -5568962?\nAnswer: -6961201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-357*(-138)\/7038)\/(14\/40)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -190\/7 - -7125\/238. What is the common denominator of v and -33\/14?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -294 (c) 57\/83\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -199 divided by -199\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 0 - d + 3 + 0*d**2 - d**3 + 5*d**2 + 2*d**2. Let n be h(7). What is the tens digit of ((-13)\/3)\/(n\/12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 104359*s**4 + 220273?\nAnswer: 417436*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 698 = -11*y - 409, 131 = 5*y - 2*q for y.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (816\/(-30))\/(-8) - (18\/(-5) - -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of 5\/6*q**3 + 1\/4*q**4 + 0 + 19*q**2 + 1\/120*q**6 - 2\/15*q**5 + 0*q. What is l(7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-80)\/(-240))\/(6 - (362\/33 + -5))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -5376439?\nAnswer: -5376439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66342?\nAnswer: 2, 3, 11057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.3 + 0.7. Let a(v) = v**2 - 478*v - 1924. Let l be a(-4). What is the closest to -0.1 in -0.7, l, z?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 666 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: Solve -10*f + 5*c = -2*f + 15*f, 0 = -3*f + 5*c for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -13 - (0 - -4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1070\/749*(-84)\/(-30).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 352604?\nAnswer: 2, 7, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -4882 greater than or equal to -4881?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-6) - (-5)\/30. What is the closest to d in 7, -0.3, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 287676, 287679, 287682, 287685, 287688, 287691?\n\"Answer: 3*y + 287673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 614 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.14 - -2.87. What is n rounded to one decimal place?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 13 + (-45 - -21)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -40940821*o**6 + 117677*o**2 - o - 225 wrt o.\nAnswer: -4912898520*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*v + 10*v + 4*v + 22*v + 24*v - 14*v + 0*v - 2*v + 0*v + (-3*v - 3*v + 7*v)*(-1 + 2 - 2) as s + h*v and give h.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (18 + -3)\/((-3)\/(-6) - -1). Suppose -4*t + 11 = -l, 2*t - 4*l - q = -8. Solve -z - t*p = 4*z + 9, 2*p = -3*z - 6 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -85 (b) 4 (c) 3\/4 (d) -53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -3*x - 1025, 2*d + 0*x - 2*x = 514. Suppose 8*y - d = -182. Let g = 0 - -3. Solve -3*f - u - 10 = y, g*u = f - 7 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 0*a**2 - 2*a**2 + 2 - 2. Let t(l) = -2*l. Calculate t(i(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of 0*l**4 - l**2 - 11\/6*l**6 + 1 + 0*l**5 + 0*l + 0*l**3. What is the second derivative of y(x) wrt x?\nAnswer: -220*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167*n = 177*n - 200. Let k be (24\/(-4))\/((-1)\/1). Factor n*f**3 + 9*f + k*f - 25*f**2 - 11*f + f.\nAnswer: 5*f*(f - 1)*(4*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 1. Let l = 415 + -2073\/5. What is the closest to q in -5, 2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x. Let f be (-1)\/(3 - 4)*4. Suppose f*p - p = 6. Let w(s) = s + p*s + s. Determine u(w(y)).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -110244649 minus 0.1711?\nAnswer: -110244649.1711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -34*q + 1. What is the remainder when 758 is divided by t(-2)?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*b = 289 - 129 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*b**2 - 5115056*b - 51152560 = 0. What is b?\nAnswer: -10, 1278814\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1715)\/155 - 319\/(-29)) + 167\/186. Put 0.2, 4, 0.8, u in decreasing order.\nAnswer: 4, u, 0.8, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 5*m + 2, 0 = -5*m + 2*m - 3. Suppose -b*f - 4*l + 2213 = 0, -3*f + 3*l + 742 = -2*f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7795*t + 7790*t + 75*q - 375 = 0, 0 = 4*t - q + 5 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 4050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10.7 - -11. Let v = 201.5 - 38.5. Let t = -164.1 + v. What is the closest to -2 in -2, u, t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5012698 (base 11) to base 16\nAnswer: 876fa5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.5, -1\/32, 4\/3, 4?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 2:57 PM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a23 + 40?\nAnswer: a63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y - 3*s + 30 = 3*y, -2669*y = -2666*y + 5*s - 46 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 46*n**2 + 73*n - 204. What are the prime factors of b(-41)?\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7867?\nAnswer: 7867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 5*i - 2. Let k be g(2). Suppose k*o = 3*o + 225. Find the common denominator of 69\/34 and (21\/o)\/((-12)\/110).\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 9:11 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 2*m - 5*r, 0 = -2*m - 3*r - 228 + 222 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 - 2*b - 47. Let h be t(-6). Let o = -24 + 95\/4. Is o equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of 0*u**4 + 2*u + 0 + 1\/2*u**2 + 1\/5*u**5 + 0*u**3. Differentiate b(l) wrt l.\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ito when three letters picked without replacement from mtgipiiitogtioioiii?\nAnswer: 9\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, x: 2, p: 2, c: 1, z: 1, l: 5}. What is prob of sequence ln?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 831\/(-33) + (-12)\/(-66). Let f = 36 + z. Suppose f + 53 = 4*p. Solve -2*w + 6*w + p = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*g + 4 = -191. Let h be (-120)\/1164*(-4)\/g. Which is smaller: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*t - 73 = -130 - 348. What is the greatest common factor of 624 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, -2296, 3, 5, 4, 0 in descending order.\nAnswer: 5, 4, 3, 0, -29, -2296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/3 + (-12)\/(-9). Differentiate 7*o**2 - 5*o**2 - 9*o**h - 5 with respect to o.\nAnswer: -14*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 216 and 1194488.\nAnswer: 32251176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -64982*j**2*o**2*w - 2*j**2*o**2 - 99*j*o**2*w + 2*j*o*w - o**2*w + o**2 - 2*w wrt j?\nAnswer: -129964*o**2*w - 4*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42581 is divided by 967.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 4.655591 centuries?\nAnswer: 465.5591","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 33603, 67785, 101967, 136149, 170331?\n\"Answer: 34182*b - 579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(176) + 2 + -4)**2.\nAnswer: -24*sqrt(11) + 185","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6936*f**3 - 2*f**2 - 172484*f.\nAnswer: -41616*f - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -73.6 + 88. Let w = v - 14.399913. What is w rounded to five dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 111 from -1.17.\nAnswer: -112.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c**4 + 220*c**3 + 2652*c**2 - 11020*c - 13456 = 0. Calculate c.\nAnswer: -29, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - -3. Let l = m - -44. Let c be l\/(-8)*(-6)\/5. Calculate the greatest common factor of 9 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -1402*h - 4103. What is the remainder when 610 is divided by n(-3)?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.14 + 2.22. Which is the third biggest value? (a) 2 (b) u (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 - -43?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 minus -143?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 6:18 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*c**3 - c**3 - 2*c**3)*(c + 14*c + 2*c) + c**3 - 4*c**4 - c**3.\nAnswer: -344*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, a: 2, x: 2, u: 1, v: 1, s: 1}. What is prob of picking 1 v, 2 x, and 1 a?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 183 divided by -12763?\nAnswer: -183\/12763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.07299 rounded to 2 decimal places?\nAnswer: 6.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -710493 divided by -483.\nAnswer: 1471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 8 = 0, 19 = 2*o + o + 5*q. Let s(a) = 3*a**2 + a - o*a + 2 - 7*a. Let t(m) = m**2 - 4*m + 1. Let j = 10 + -3. Calculate j*t(g) - 3*s(g).\nAnswer: -2*g**2 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-15) + 12\/(-30).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2962.918 centimeters to micrometers.\nAnswer: 29629180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 - 8*q + 8. Let h = 45 - 61. Let j(b) = -2*b**2 - 37*b - 39. Calculate the remainder when j(h) is divided by f(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*i - 5*s - 155 = -30*i, 0 = 5*i - s - 147. Solve 20*z - 54 = i*z for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (1 + 11 - 4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*x - 4 + 4)*(-991*x + 508*x + 729*x) to q*x**2 + n + b*x and give q.\nAnswer: 738","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -11. Let y(o) = 5*o**3 - 6*o**2 - 12*o + 4. Let a(x) = 11*x**3 - 13*x**2 - 26*x + 7. Let w(z) = -6*a(z) + 13*y(z). Give 3*t(c) + 2*w(c).\nAnswer: -2*c**3 - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -122632 rounded to the nearest one thousand?\nAnswer: -123000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 17298*s. Let h(z) = 293*z. Let c(b) = -976*b. Let m(n) = 3*c(n) + 10*h(n). Determine f(m(o)).\nAnswer: 34596*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3577*i**2 + 0*i**3 + i**4 + 2*i**3 - 2 + 3719*i**2 to c + f*i**4 + p*i + w*i**3 + l*i**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 11*q = 7*q + 8, 4*n = 3*q + 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -339*w**2 + 10*w. Let f(b) = -342*b**2 + 8*b. Let n(y) = 5*f(y) - 4*i(y). Let k(x) = 7*x. Determine n(k(m)).\nAnswer: -17346*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 + 31 + (-6 - -16).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of -i**8\/20160 + i**5\/15 - 3*i**2. Let f(c) be the third derivative of m(c). Let a(k) = -k. Determine f(a(l)).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657962811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14748, 45685, 97252, 169455, 262300?\nAnswer: 375793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (10 - 2) + (1 - 13)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-1*sqrt(441)*2 - -4*-2*sqrt(441))\/((sqrt(7) - -2*sqrt(112))*-2))**2*-6.\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-18)\/(-153) - 64\/(-34). Suppose -14 = m*f - 4*f - 4*p, -2*p - 8 = -4*f. Suppose 2*s = -s + f*v - 21, 4*v + 22 = -s. Which is greater: -9 or s?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence km when two letters picked without replacement from {k: 7, m: 3, o: 8}.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -136 - -954\/7. Suppose 0 = 2*u - 4*i - 32, -5*u = -19*i + 25*i - 112. What is the second smallest value in -0.3, u, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**3 - 4*v**3 + v**3)*((1 + 0 + 1)*(4 - 1 - 2) - 2 + 4 - 1 - 1 - 3 + 0)*(2*v + v - v).\nAnswer: 6*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 142 + -68. Let b(g) = 43*g - 20 + 54 - 42*g. Calculate the remainder when l is divided by b(-15).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9600, 19269, 28940, 38613, 48288, 57965, 67644?\nAnswer: 77325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-18)\/90*(0 + 4 + -4). Solve n = -20*g + 21*g + 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1057.69979 to the nearest ten.\nAnswer: -1060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -6 + 25*w - 30*w - 2. Is c(-4) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 - 2.3163\nAnswer: -2.4163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3274\/4105 - 2\/821. Let j(m) = -m**3 + 7*m**2 - 4. Let t be j(7). Which is the closest to -2\/7? (a) -5 (b) v (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -124 + 139. What is the remainder when ((-52)\/2)\/(16 + -17) is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2952.991589 + -2953. What is x rounded to 3 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1351 + 55587. What are the prime factors of x?\nAnswer: 2, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2478*s = 30184 + 39200 for s.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 3*j**2 - 9*j + 1. Let d be i(6). Find the common denominator of 370\/120 + -16 + (-2)\/8 and 600\/d + -4 - 3.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -119 - -119. Let s be (4 - 6) + 102668\/27 + q. Let x = s + -3801. Find the common denominator of x and -89\/6.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (42\/(-9))\/((-10 - (-3152)\/24) + -11) and -97\/28.\nAnswer: 9268","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*d**2 + 21*d - 118 wrt d.\nAnswer: -6*d + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1110921*g**4*o*x - 5*g**4*x + 2*g**3 - 53681*g**2*o*x + 69*g**2*o wrt g.\nAnswer: 26662104*g*o*x - 120*g*x + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of 27*z**5\/50 - 143*z**4\/20 + 28*z**3 + 24*z**2\/5 + 71*z. Factor x(h).\nAnswer: 3*(h - 4)**2*(18*h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -16 - 18 - ((1 - 1) + 2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1199*w**3 + 336*w**3 - 2033*w**3.\nAnswer: -2896*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.08 (b) -53 (c) 2 (d) 0.3 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2135, -3828, -5087, -5912, -6303, -6260?\nAnswer: -5783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of 0 + 16*i - 1\/30*i**5 + 2*i**2 - 1\/6*i**3 - 19\/120*i**6 + 0*i**4. Find the third derivative of k(c) wrt c.\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11100 (base 2) to base 15\nAnswer: -1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38 - 38. Let k be (3\/(-9)*-1)\/(1\/3). Which is the closest to k? (a) -5 (b) i (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2255440.\nAnswer: 2, 5, 11, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7163581 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 - 69) + (25 - 6)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 355 - 116?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 160 and 1636556240.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of 25 - 9\/2*f**2 + 0*f + 23\/4*f**4 + 0*f**3. Find the second derivative of m(g) wrt g.\nAnswer: 138*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*7*59\/177. What is the second derivative of 6 - 21*b**2 + u - 3*b - 3 - b wrt b?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkxtkvvtvt. Give prob of sequence ttkk.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 423 divide 16143118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3*g = -277, -3*g = -3*q - 1128 + 273. Let p = 461243 - 461532. Is p less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/2, 4, 0.3, 169\/2?\nAnswer: 169\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 11:32 PM?\nAnswer: 9:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 284 and 11431?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 587880, 1175696, 1763508, 2351316?\nAnswer: 2939120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -79 - -92 - (3 - -21 - -7).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -7*t. Let r(a) be the first derivative of 0*a + 21 + 0*a**2 + 2\/3*a**3. Determine r(u(j)).\nAnswer: 98*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7299400 rounded to the nearest 100000?\nAnswer: 7300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of (-8)\/(-12)*-3 - -16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 91, 232, 601, 1312, 2479?\nAnswer: 4216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 3 = -0. Let d(z) = 5*z**2 + 3*z + 1. Let t(h) = -5*h**2 - 2*h - 1. Let r(q) = -4*d(q) - 5*t(q). What is r(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -1, -6, -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1750)\/3)\/(8\/(-12)). Suppose -n = -4*n - t + o, -2*t = n - 290. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26\/6*(62640\/87)\/60\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 s when two letters picked without replacement from {s: 4, l: 6, q: 1}?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + r + 117 = 0, 65 = -g + r - 58. What is the remainder when 218\/4 + -18*10\/g is divided by (-1)\/(1\/(-9)) + 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**9)\/(x**(-1\/7)*x)*x**0*x*x**2*((x**(-1\/7))**(-1\/39))**(1\/8) assuming x is positive.\nAnswer: x**(-12791\/2184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 4 - 2)*(3*m + 0*m - 2*m) + (0 + 3 - 4)*(-3*m + 2*m + 3*m) - 8*m + 4 - 4.\nAnswer: -7*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.5391 + 0.3291. Which is the nearest to 5? (a) 0.4 (b) -4 (c) x (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 1\/4 (c) -1\/30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10010 (base 4) in base 6?\nAnswer: -1112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2541046*i**3 - 1020913*i wrt i?\nAnswer: 15246276*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24783614 a multiple of 191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 4*t**3 + 152*t**2 + 292*t + 144 = 0?\nAnswer: -36, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 AM and 1:01 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.107312 + 6.75. Let q = 0.3403093 + u. Let g = q - -0.017. Round g to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -62, -272, 0 in decreasing order.\nAnswer: 0, -3, -62, -272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/10 - (-189)\/(-15). Let r = z + 11. What is the remainder when (40\/(-2))\/(r\/1) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -77, -72, -59, -32, 15, 88, 193, 336?\n\"Answer: i**3 - 2*i**2 + 4*i - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f**(-1\/10)\/f))\/f)\/f**(-2\/17))**38*(((f*f\/(f\/f**6))\/f*f*f)\/(f*f\/((f\/(f**7*f))\/f)))**(-33) assuming f is positive.\nAnswer: f**(9543\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 53255?\nAnswer: 53251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 51282720 to the power of 1\/3, to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 11*m**2 + 12*m + 8. Suppose 50 = 4*x + l, x = -2*l + l + 14. Calculate the least common multiple of 8 and v(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50 and 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -14*d**2 + d + 11. Let l(u) = -31*u**2 + u + 26. Determine -4*l(t) + 7*s(t).\nAnswer: 26*t**2 + 3*t - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(720) + -2 + -4)**2*1.\nAnswer: -240*sqrt(5) + 820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f*f**(-6))\/f)\/f)\/((f*f*(f\/f**(-1\/6))\/f*f)\/f)*(f**(-6)*f)\/f**(4\/5))\/((f**0)**49\/(f\/f**(-5)*f*f**(-6\/7)\/f)) assuming f is positive.\nAnswer: f**(-2063\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11044 (base 9) to base 12.\nAnswer: -42aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.6 + 4.4. Which is the second biggest value? (a) 4 (b) s (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 353, 710, 1061, 1406?\nAnswer: 1745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(11\/2)\/p**(-9)*(p*p**(-6)*p)\/((p*p**(-31))\/p) assuming p is positive.\nAnswer: p**(83\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 + 7*s + 9. What is the remainder when (8\/3)\/((-16)\/(-24)) is divided by v(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2019136 and 828?\nAnswer: 417961152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/14 + 1*100\/(-252).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*w**2 - 7 + 6 + 295*w**2.\nAnswer: 241*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -7. Let r be (2\/(-4))\/(w\/(-16)). Suppose 5*s + 5*z = 15, -r*s + z + 14 = -13. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 58 (b) -0.17 (c) -1\/6 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -b53197 (base 15) in base 14?\nAnswer: -12042d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-20)\/(-16)*30\/15)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/4*(1 - (2 - -201))?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -70 (b) 22\/5 (c) -4\/9 (d) -1\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.281 - -0.281. Let c be ((-12)\/22)\/(1 + 0). Put c, -4, k in ascending order.\nAnswer: -4, c, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -509 - -519. Let f(g) = g + 7. Let c be f(u). Calculate the greatest common factor of 323 and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 257926, -1.83?\nAnswer: 257926","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -13*n + 2. Let g be l(-1). Suppose -m - 2*i - 154 = -2*m, -5*i = g. Suppose 94 + m = 2*u. Calculate the remainder when u is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3402 divided by 21\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of z**6\/120 - z**5\/20 + z**4\/4 - z**3\/2 + 120*z**2. Suppose 16*p = 9*p + 14. What is c(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3905*w + 35178. Calculate g(-9).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((54 - 22) + -21 - (-1 - -13)) + (-11 - 19)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4808\/13 or 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 PM and 11:34 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z**2 + 8492*z + 1862492. Give f(-232).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 3 + 3)*(y - 2*y - y) + 2*y + 2*y - 3*y + (-2*y - 2*y - 2*y)*(484 - 1661 - 722) to k + h*y and give h.\nAnswer: 11397","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 0.12 (c) 0.3 (d) -1 (e) -0.2734\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 3*j = -7*j - 135, -j = 0. Solve -44*x - 1 = -i*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - ((-54 - -67) + -1 + -5 + 5).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*(-21)\/(-3)*-7 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 567 is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 44*v - 49. List the prime factors of y(6).\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -6*v**3 - 1198*v**2 + 398*v - 415. Give y(-200).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 429 (b) 2.4 (c) 2\/7 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/302065 and 11\/966608?\nAnswer: 4833040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101614 is divided by 20315?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1593404, -5, -172 in increasing order.\nAnswer: -172, -5, 1593404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.05 + 0.75. Let k be 3\/(-15) + 3*82\/5. Let f = -53 + k. What is the second smallest value in i, f, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*a**3\/11 - 26618*a**2\/11 - 2668*a\/11 + 726 = 0. What is a?\nAnswer: -3\/5, 1\/2, 1331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + -11. Let m = n - -17. Which is the closest to -0.1? (a) m (b) -3\/10 (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xv when two letters picked without replacement from {x: 18, j: 1, v: 1}?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 234 + -206. Let d(h) = h + x*h - 13*h + 6 + 25*h + 0*h. Let j(f) = 14*f + 2. Determine -4*d(a) + 11*j(a).\nAnswer: -10*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 AM and 1:52 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k - 5. Let z be r(8). Suppose -p = z*p - 4. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 402 + 2?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 1 = -s. Let b = s - -5. Suppose t = 5, b*i + 2*t - 24 = 4*i. Calculate the remainder when 55 is divided by i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 55 = j, -5*b - 63 - 41 = -2*j. Calculate the greatest common factor of j and 741.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 4139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) - -1*(sqrt(162) - 2*sqrt(162)))\/(-2*(sqrt(144) - -2*sqrt(144))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = -2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*n + 25*n + 29*n + 32*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**4 - h**3 + h**2 - h. Let t(n) = 5*n**4 - 6*n**3 + 6*n**2 - 6*n + 4. Let u(r) = t(r) - 6*x(r). What is the derivative of u(b) wrt b?\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6126444 is divided by 2042139?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 234 = -5*m + 18*m. Solve z = 7*z - m for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3332)\/(-196) - (-3)\/(6\/(-8)). Solve -o = -2*l - 3 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1131617, -2263235, -3394853, -4526471?\nAnswer: -5658089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 + 4*h - 3*h - 3 + 3*h - 3*h. Let u be a(-4). Let n(r) = 3*r**2 - u + 3 + 6. Let s(v) = -v. What is n(s(l))?\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 2 = 6, 4*z = -5*k + 2. Suppose 3*p = -5*v + 8 + 9, -14 = -k*p - 4*v. Which is greater: -1\/3 or p?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 8*a**2 - 50*a + 8. Calculate c(12).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4909872, 9819743, 14729614, 19639485, 24549356, 29459227?\nAnswer: 34369098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48418 divided by -45.\nAnswer: -48418\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20999059 and 421?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80194.21 centuries to decades.\nAnswer: 801942.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 572 and 114556.\nAnswer: 1260116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 15 = -0*c - 5*c, -2*l - 4*c - 12 = 0. Suppose l = -4*x - 0*x + 8. Let k = 39 - x. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -198921 * -0.75\nAnswer: 149190.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 + 11*c + 10. Let b be f(6). Let s = 7 - 27. Let o = b + s. What is the remainder when 79 is divided by o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 30?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -8524 - 267796*m**2 + 1765 + 267797*m**2 in the form d + p*m**2 + c*m and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 649 in 11179, -5, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 4*u**2 - 10*u - 1. Let h be a(-1). Solve -h*k = -16*k - 15 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -15*a + 3. Let c be y(-10). What is the greatest common divisor of 17 and c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1047 - -4189\/4. Let 1\/4*w**4 + a - 1\/2*w**3 - 1\/2*w**2 + 1\/4*w + 1\/4*w**5 = 0. Calculate w.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**3 + 5*v + 5. Let a be z(0). Let r be (54\/(-24))\/(a + -2 + 0). Sort -1\/2, 8, r, -2\/3 in decreasing order.\nAnswer: 8, -1\/2, -2\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bvvvvvvvvvvbbvv. Give prob of picking 2 b.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.12 times 1.82\nAnswer: -0.2184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (26572\/8)\/(499 + 2). Let u = r + 34\/167. What is the common denominator of -63\/10 and u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 at most 37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 4) to base 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 320 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - 26*q**2 - 14*q + 276. Let l be j(-25). Put 3\/7, 1\/4, 5, l, -32 in increasing order.\nAnswer: -32, 1\/4, 3\/7, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-4) - (2 + -1). Suppose -2 + 7 = j. Solve -20 = -x*s + j*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169*m + 12983 + 42952 = 3545. What is the remainder when 999 is divided by m?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 + 6. Let m = -16 + y. Suppose -a + m = a. Solve 6*c - 21 = -3*o + c, -a*o + 2*c = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 4*d**2 + 3. Let b be z(4). Suppose b*t - 13 = 11. What is the lowest common multiple of 8\/36 - (-104)\/18 and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2609 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - a)*(-5*a + 0*a + 3*a)*(-1 + 1 - 1) + (12*a - 3*a + a)*(56 - 12*a - 56).\nAnswer: -122*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 43809 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 5316 = -4*d, -115*o = 5*d - 116*o - 6609. Calculate the least common multiple of 243 and d.\nAnswer: 11907","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 12 + 16 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 884 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -147, -235, -329, -429, -535?\nAnswer: -647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17.4 - -17. Let z = -27 - -27. Which is the smallest value? (a) z (b) 36 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83917747 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j - j - 2577 + 891 + 854 + 943 to p*j + d and give d.\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 4*o**2 - 2*o + 0*o**2 - o**2 - 3 - 2. Let c be q(-2). Suppose -5*m + c = -2*v - 1, -2*m + 8 = -4*v. Solve -2 - m = -2*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 216 + -216. Suppose b*r + 16528 = 2*i - 3*r, -i + 5*r + 8257 = 0. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wqquwuczqccc. Give prob of picking 1 q and 1 z.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2993230+-87770.7\nAnswer: -3081000.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -236*g - 40. Let y be a(-2). Let j be y\/288*(1 + 0 - -1). Solve -12 = 3*m - 5*t, -2*m + 4*t = j*m + 20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 3*p = -24, 3*q + 1 = -5*p + 25 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8410, 33662, 75748, 134668, 210422, 303010?\nAnswer: 412432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21845.\nAnswer: 5, 17, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3*n = -o - 85, 43 = -n + 5*o. Let y be (n\/4)\/((-12)\/8). Solve y*q = 12 - 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (30 + -26 + -24 - 56).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -3. Let q be 1337\/m - (-4)\/6. Let j = q + 645. What is j rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*k - k + 4*k)*(4 - 6 + 0) + 30*k + 195 - 195 to q + r*k and give r.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-2)*70\/7. Let c be 4\/6 - n\/3. Let l be ((-2)\/c)\/((-3)\/((-132)\/2)). What is the nearest to -0.1 in l, 3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c*m**5 - 120*c*m - 4*c - 3031037*m**2 + 44*m + 12 wrt m.\nAnswer: -40*c*m**3 - 6062074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + 0 + -6 + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/((-54)\/(-84)) + 42035 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of -v**8\/6720 - v**7\/3360 + v**6\/1440 + v**5\/480 + v**3\/3 - 3*v**2. Let x(n) be the first derivative of i(n). Factor x(y).\nAnswer: -y*(y - 1)*(y + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 337 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102 + 1011?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 147 + 231. Is 21 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 231*z - 314 - 4033 - 6972 = 0 for z.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -49 times -4515\nAnswer: 221235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-4)*y)\/(y*(y*y*(y\/y**5)\/y)\/y))**(1\/13) assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*-5)\/(8\/(-8)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140030*-2.78.\nAnswer: -389283.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -6*b - 2*b + 1870. What is the highest common divisor of 476 and b?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -187*a**3 - 9. Let d(x) = 186*x**3 + 7. What is 3*d(q) + 2*h(q)?\nAnswer: 184*q**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 57510340.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22685 + 99321 = 49*b. What are the prime factors of b?\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 213*f - 208*f = 4*q + 19, 3*f = -3*q - 21 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 24*a**2 - 40*a + 6. Let d be m(5). Let h(u) = u + d - 406 - 3*u + u. Let p be 3\/12 - (-78)\/8. Let f(o) = 3*o. Calculate p*h(r) + 5*f(r).\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40 + -13. Solve 4*p - 4 = -f - 3, -2*p = -5*f + u for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14088 - 0.05720066.\nAnswer: 14087.94279934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 + 2*r - 45. List the prime factors of n(-11).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165*z - 410*z - 1150 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o**2 - 12*o + 3. Let d(c) = 8*c**2 + 35*c - 9. Let x(v) = 4*d(v) + 11*n(v). Calculate x(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1967 to 2 dps.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 3*t + 6*t**3 - 2*t)*(-87*t**2 - 95*t**2 + 140*t**2).\nAnswer: -252*t**5 + 84*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - 1 - 3\/((-24)\/(-20)). Let r be (-99)\/28 + (-2)\/(-7). Let p = l - r. What is the third biggest value in p, 1, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -22*m - 793. What is d(-36)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.65, -3, -5 in decreasing order.\nAnswer: 1.65, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25194969.\nAnswer: 3, 17, 19, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r. Let n be -1 - (-1 + 1 - -1). Let j be 24\/20*10\/4. Let g(z) = 6*z**2 + 4*z - 5*z**2 + z**j - 3*z. What is n*g(w) - x(w)?\nAnswer: -2*w**3 - 2*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 24 + 3*m - 24 in the form d + f*m and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12037682.\nAnswer: 2, 41, 146801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -324 = -4*t + z, 10*z = 4*t + 7*z - 332. Let o(y) = y**2 - 5*y - 8. Let w be o(8). What is the greatest common factor of w and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -162*y + 157*y - 20, -8 = -4*d - 2*y for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z. Let p be f(3). What is the second derivative of -2*g - 3*g**2 - 2*g + p*g wrt g?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 869287 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 975307547 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 477 a factor of 13351404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/286 - 24\/(-132). Which is bigger: l or 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -8. Let t = -0.3 + -4.7. Put 5, t, u in descending order.\nAnswer: 5, u, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*f = -6*p + 507, 5*p - 4*f - 509 = 0. What is the remainder when p is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of 0*g**3 + 11*g + 1\/55*g**6 + 0*g**2 - 3\/110*g**5 + 0 + 1\/66*g**4 - 1\/231*g**7. Factor m(j).\nAnswer: -2*j**2*(j - 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -22*m + 10626. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -m**5 + 135720*m**4 - 6*m**3 - 14434465*m**2 + 15*m wrt m?\nAnswer: -60*m**2 + 3257280*m - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in decades?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f**3 + 2*f**2 - f + 1. Let r be w(2). Let h = 1 + r. Let y = h + 4. Let l(x) = 2*x + 2. Determine l(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 4:34 PM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276066 is divided by 94.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16 + 16 + 20*r)*(r - r + r**2) + (6*r - 13*r - 14*r)*(0*r**2 + 0*r**2 - 2*r**2) as y*r**3 + t + h*r**2 + d*r and give y.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 6*r**2 + r + 14. Let l be j(7). Let t = -27 - l. Let m be 135\/(-168) + 15\/35. Is m >= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 224 - 130 - 94 + 2*d. Let s(q) = 284*q. Calculate g(s(j)).\nAnswer: 568*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1818 and 7?\nAnswer: 12726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 192.\nAnswer: 5\/192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55.32843 centuries to months.\nAnswer: 66394.116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/9, 9, -2, 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*i**2 - 1501*i + 2260.\nAnswer: 4*i - 1501","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-2)*(-9 - (-46 - 11)). Solve -17*i + o = -11*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1469537048 - 3*y**3 + 1469537048.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -393109 + 4324205\/11. Solve 2\/11*k**2 - r*k - 4\/11 + 2\/11*k**4 + 6\/11*k**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -153 + 214. Suppose i - 18 - g = 0. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 16*x**2. Let o(g) = 512 - 512 - g. Give d(o(t)).\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-819)\/(-18))\/(-7))\/(1\/6).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzfzzii. What is prob of picking 1 i and 1 z?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 771731 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of 2*f**3 - 2. Let j(m) be the second derivative of 7*m**3\/6 - 145*m - 2. What is t(j(u))?\nAnswer: 294*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 less than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5, -24, -55, -98, -153, -220?\n\"Answer: -6*s**2 - s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 22375 in 2, -0.1943, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 21*o**3 - 12*o**2 - 9*o - 21. Give q(-5).\nAnswer: -2901","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 6*d**2 + 2*d + 6. Let p(k) = 2*k**2 + k + 2. What is -7*p(h) + 2*v(h)?\nAnswer: -2*h**2 - 3*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/2 + (-144)\/(-32). Suppose -13 = -5*r + 2*f - 15, -2*f + 2 = r. Solve -m*q + 9*q = r for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 4*f - 2, 4*f - 10 = -0*f - o. Suppose -23 = f*k - 374. Let m = 1832 - 1802. Calculate the remainder when k is divided by m.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-50)*(-8)\/(-30)*-5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -2, -0.4, -112.757?\nAnswer: -112.757","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r - 4*r - r)*(0*r**3 + r**3 - 9*r**3) - 5*r**4 - 4*r + 4*r.\nAnswer: 3*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, e: 1, y: 1, l: 1, q: 1, f: 5}. Give prob of picking 1 k and 1 q.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51284813?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.688 rounded to one dp?\nAnswer: -7.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 110 and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 404, 402, 400, 398, 396?\n\"Answer: -2*w + 406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 618315*a**3*i**3 - 4*a**3 - 173283*a**2*i**2 - 6*i**6 - 3*i wrt i.\nAnswer: 3709890*a**3 - 720*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 286\/19 or -58\/351?\nAnswer: -58\/351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -207*x - 2270. Let l be t(-11). Sort 5, -2, l, 3, 8.\nAnswer: -2, 3, 5, l, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1363, 2745, 4145, 5563?\n\"Answer: 9*p**2 + 1355*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.944*-0.2.\nAnswer: -0.1888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 3*o - 5, 4*o = 4*u + 1 + 3. Suppose -3*h - u*h + 95 = 0. Is 18 >= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 - -0.2. Let v = 0.1 + w. Let j = -0.03 + -0.37. Which is the closest to -1\/4? (a) v (b) j (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 418 + -386. Solve 4*f - 36 = -a for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1)**(-35)*v**6\/(v*v\/(v*v**2*v))*((v*v**8)\/((v**6*v)\/v))**43 assuming v is positive.\nAnswer: v**102","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -33 - 27. Let i be (-26 - 1)*(-4)\/t. Let h = -6 + i. Solve 2*m + h*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 16) to base 9.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.37 (b) -0.3 (c) -1 (d) -3295.5 (e) -0.4 (f) -3 (g) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*h - 15 = 905. Calculate the remainder when 476 is divided by h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2, 5, -3, 215, 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 952.4 + -738. Let k = t - 214. What is the second smallest value in k, -0.05, -4?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 29*f**2 + 42*f + 141. What is the hundreds digit of g(20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -42*r**2 + 93*r - 7. Let m(x) = -14*x**2 + 31*x - 2. Let k(b) = 7*m(b) - 2*s(b). What is the second derivative of k(y) wrt y?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = r - 159, r + 4*r - 4*n - 792 = 0. What is the greatest common factor of 36 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-3 + 4 + (-20 - -8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 5*i**2 + 5*i + 4. Let y = 9 - -23. Let c be y\/6 - 6\/(-9). Determine l(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 41\/178, 1\/2?\nAnswer: 41\/178","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 312706 by -117.\nAnswer: -312706\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11275, 11232, 11115, 10888, 10515, 9960, 9187?\nAnswer: 8160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - 40\/(-12))*3. Let o = 12 - c. What are the prime factors of (-3)\/6*34\/o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + 5*o - 1. Let b be p(5). Let v be ((0 - 1) + -3)*b. Let x(n) = -2*n + 3. What is x(v)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + 13\/(-4) - 36\/48. Let p be (1\/(-3))\/((-10)\/(-12)). Which is the third biggest value? (a) p (b) -0.1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 13*r**3 + 8*r**2 - 2*r - 3. Let a(q) = -11*q**3 - 8*q**2 + q + 2. Determine -3*a(y) - 2*c(y).\nAnswer: 7*y**3 + 8*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 17*a**4 - 19*a**2 - 68*a - 743073?\nAnswer: 68*a**3 - 38*a - 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1399 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.5 take away -0.04?\nAnswer: 41.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 111\/1801 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3*h + 16. Let g(l) = 2*l + 17. Suppose -c + 2 = -2. Let n(z) = c*j(z) - 3*g(z). Differentiate n(y) wrt y.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2 + 14 = 0. Solve 3*w + 4*n - p = 0, n + 15 = 6*w - 2*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)\/(1*sqrt(8))*1)**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261272999 is divided by 2040?\nAnswer: 2039","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 316505, 316509, 316513, 316517?\nAnswer: 316521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 211001 (base 3) in base 10?\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 4*n**2 + 7*n + 7. Let q be k(-1). Let y(p) = p**3 + 6*p**2 - 3*p - 8. Let h be y(-6). Let j = h + 10. Solve u - 16 = q*d - 0*d, -j = 3*u + 5*d for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 0. Let b = 23 + -28. What is the second smallest value in 4, b, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 13\/4 of a century?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3 = 1. Suppose -4*l - j = -19, -3*l + 2 = 4*j - 9. Suppose 0*s - 3*r + 12 = s, l*r = s + 20. Are s and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b - 6. Let u be s(10). Let j be 14\/(-8) - u\/16. Let l be (6\/j)\/1 + 3. Which is greater: -2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(-1\/2)\/p))**(-50)\/(p\/(p*p*p*p**(-1\/4)*p))**42)**47 assuming p is positive.\nAnswer: p**(-893\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100428368 divided by 64709.\nAnswer: -1552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 8:27 PM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**4 + v**3 - 1. Let j(d) = 191*d**4 + 5*d**3 + d**2 - 14*d - 5. Let z(f) = j(f) - 5*p(f). Find the third derivative of z(u) wrt u.\nAnswer: 4464*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**(-4)*w))\/(w\/(w*w*w\/(w*w**(5\/4)\/w*w))))**(-39) assuming w is positive.\nAnswer: w**(-585\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -783*k**2 + 603499942*k - 603499942*k.\nAnswer: -783*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 4*t - 205 = 0. Solve 65*z + 36 + 5*z**2 - t*z - z**2 = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1633, -6563, -14779, -26281, -41069?\nAnswer: -59143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4*6\/4)\/(-2 + 3). Let t(u) = u**3 + 6*u**2 + 2. Let m be t(w). Suppose -m*v - 2*k + 4 = -0*v, 3 = v + 2*k. Sort -3, v, -2, -9 in decreasing order.\nAnswer: v, -2, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**(1\/2)*d)*d*d**(2\/29)\/d)\/(d*d**3)**(-29) assuming d is positive.\nAnswer: d**(6645\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-2\/17))**(-42)*o**(13\/4)*o**(7\/2)*o assuming o is positive.\nAnswer: o**(-2665\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*x**4 - 3*x**3 + 56*x**2 wrt x?\nAnswer: -144*x - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*v + 31*v - 11 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 19*t**3 + 13*t**2 + 32*t - 37. Is j(12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5*(2 + sqrt(245)))**2*5*-2.\nAnswer: -249000 - 28000*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wi when two letters picked without replacement from {a: 1, q: 4, b: 4, w: 9, i: 1}?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*s + 211*s + 225*s + 14550 = 0 for s.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001537 to four decimal places.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1\/3, -154771, -145, 4\/3.\nAnswer: -154771, -145, -5, 1\/3, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (26\/4 - 4)*-2 + 927?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 7*r = -24. Let g = r + 8. Suppose 2*s + 3006 = 3*l, 4*s + 3*l - 2*l + 5998 = g. What is s rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.6 from -121.256947.\nAnswer: -122.856947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) 2 (b) -1 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31300 - -5784387059.\nAnswer: 5784418359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1\/((g\/(g*(((g\/g**4)\/g)\/g)\/g))\/g))\/(g**(1\/11)*g*(g**(-2\/21)\/g*g)\/g) assuming g is positive.\nAnswer: g**(-923\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1884 is divided by 85.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 2*j = 0. Suppose j = 2*x, -c = -5*c - 2*x + 44. Suppose 4*r + c - 123 = 0. Does 14 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -159*t**2 - 599*t**2 + 2*t - 2*t - 2*t + 117*t**2 to the form v + s*t**2 + r*t and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*j - 2*o, 6*j - 11 = 2*j - o. What is the tens digit of (j - 27)*1*(-2 - 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3375 is divided by 836.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.3, 0.5, -0.06?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 18\/42 - (1 + (-720)\/35). Solve -46*t = -42*t + o for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x**2 + 5. Let d(p) = -2*p**2 + p - 5. Let m(z) = 4*d(z) + 3*u(z). Factor m(v).\nAnswer: (v - 1)*(v + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2 + sqrt(5) + 5.\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3873b8 - 2?\nAnswer: -3873ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-350)*-4*5.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of -r**3\/3 - 3*r**2\/2 - r. What is the units digit of x(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -473*b + 4201 + 6205 = 0 for b.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 79032626 and 3386?\nAnswer: 3386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9555 + 8969. Is o at least -588?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*d + 13*d**3 + 11*d**2 + 0*d - 2*d**4 + 0*d wrt d.\nAnswer: -48*d + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/1513 + -1369\/217872. Which is the second smallest value? (a) 0 (b) -0.1 (c) -1 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -3*a. Let m(b) = b**2 - 44*b + 119. Let g be m(41). Let r be 2*g\/(-10)*(-90)\/72. Put r, 4, a, -2 in ascending order.\nAnswer: -2, r, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 26 = -2. Suppose 26*c + l*c = 20130. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 511 - 265 - 6*k - 279 + 30*k as z*k + c and give z.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9732.078 millennia to years.\nAnswer: 9732078","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 less than or equal to 83\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/15 - (-4)\/(-20).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 470093992?\nAnswer: 2, 6581, 8929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -71936343781.5 - -0.066?\nAnswer: -71936343781.434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 3*p = -104 + 16, 13*h + 27*p - 31*p + 478 = 0 for h.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -77966.1 from -2128.5.\nAnswer: 75837.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -52 and -84004 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25) - sqrt(75)\/(sqrt(27) - sqrt(3)))\/((sqrt(60)\/sqrt(3))\/sqrt(4)).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -301 - 271*o**2 - 1227*o - 278*o**3 + 281*o**3 - 314 - 439*o**2 + 101*o**2 = 0 for o.\nAnswer: -1, 205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 u when four letters picked without replacement from {u: 4, d: 6}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216*n - 9094 = 214*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -6611310?\nAnswer: 33056550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of -t**2\/2 + t + 7. Let u be f(-7). Let o(a) = a**3 - 6*a**2 - 9*a - 12. Does 11 divide o(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -59 + 4 - (3 + 11 + 6 + -22)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*a - 285874 + 1610600 = 0. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -135.19 rounded to the nearest integer?\nAnswer: -135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wxwfxxwewxc. Give prob of picking 4 w.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -5 - 11*d - 3*d - 5 + d**2. Let q be t(15). Let x(j) = -j**3 - 2*j**2. Let r be x(-2). Sort r, 4\/5, q in increasing order.\nAnswer: r, 4\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -33*i**2 - 206*i - 44. Let a = -25 - -13. What is the lowest common multiple of a\/(-1*3\/2) and p(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26 - -2) + (-3 - 8) + -4.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*f + 17*f + 15*f)*(0*f + f + 0*f).\nAnswer: 21*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 - 37*a - 140. Is 4 a factor of p(-28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/11 + 4*b**2\/11 - 2*b\/11.\nAnswer: -2*b*(b - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-18)\/(-36))\/(4*4\/4)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + -212.\nAnswer: -211.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -766.42 rounded to zero dps?\nAnswer: -766","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/((-12)\/8)*12. Factor -10*o**3 - 16*o**2 - g*o + 4*o**4 + 12*o**4 - 18*o**4.\nAnswer: -2*o*(o + 1)*(o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -211, -6, 29, -1, 2, 18, -4 in increasing order.\nAnswer: -211, -6, -4, -1, 2, 18, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 120852 and 20.\nAnswer: 604260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 888, -1080, -8414, -23796, -49908, -89432, -145050?\nAnswer: -219444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 16\/1*(4949\/28)\/(-101)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, -4, 6656, 4 in increasing order.\nAnswer: -4, -1, 3, 4, 6656","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42 + 79 - 37 + g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 9) to base 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fooof. Give prob of sequence oo.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(243)*4.\nAnswer: -36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 3*b**5 - 309*b**4 - 4275*b**3 + 15525*b**2 = 0?\nAnswer: -15, 0, 3, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (400\/180)\/(4\/24)*(-36)\/20.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.31268904 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -283221794*f**2 - 184695909*f wrt f.\nAnswer: -566443588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uugggmoueumuuu. What is prob of sequence eou?\nAnswer: 1\/312","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46 + -18. Let y be 145 - (0 + -3 - -1). Let a = y - 77. Calculate the greatest common factor of n and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13342, 26793, 40302, 53869, 67494?\nAnswer: 81177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1342054 divided by 14.\nAnswer: -95861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 + 12 - 0)*(-4)\/(-14)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*j**2 + 6*j - 6*j - 9*j**2 as g*j**2 + d + y*j and give g.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*w - 7*w - 15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of 1\/2*y**6 + 36\/5*y**5 + 36*y + 104 + 3\/2*y**2 - 3\/2*y**4 - 24*y**3. Let n(b) = 0. What is b?\nAnswer: -12, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o, 1 z, and 1 p when four letters picked without replacement from {i: 1, z: 1, o: 2, p: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18174 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q + 6. Let c be p(-5). Let r(s) = -s**3 - 9*s**2 - 9*s - 3. Let v be r(-8). Suppose -51 = -v*m - 11. Solve -3*g - m - c = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520798320.7 rounded to the nearest one million?\nAnswer: 521000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -599*q - 13179 + 14771 = -22967 for q.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1527*m + 1527*m - 12*m**2.\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3443050 (base 7) to base 8\nAnswer: 1511373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -21, -31, -35, -33, -25, -11, 9?\n\"Answer: 3*w**2 - 19*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(17))*4)**2 - ((sqrt(51)\/sqrt(3))**2 + 1).\nAnswer: -32*sqrt(17) + 270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of -w**6\/360 - w**5\/12 + w**4\/4 + w**3\/6 + 13*w. Let r(d) be the second derivative of y(d). Calculate r(-8).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -178667*b**5 + 3*b**3 + 3088643*b**2 wrt b?\nAnswer: -10720020*b**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.249659l in millilitres?\nAnswer: 7249.659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 4:34 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -150 - -737. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*l**2 + 4*l**2 + 3*l**2 + (4*l - 4*l + 2*l)*(2*l - 2*l + l))*((4 + 0 + 9)*(5*l - 4*l - 2*l) - 11*l - 9*l - 12*l).\nAnswer: -135*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1\/7, 3751\/4.\nAnswer: -4, 1\/7, 3751\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 106 - 75. Does 20 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9414 + -13b21?\nAnswer: -6709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 25, -315, -1271, -3161, -6303, -11015, -17615, -26421?\n\"Answer: -53*k**3 + 10*k**2 + k + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r + 13*r = -105. Suppose -6*q + 7*q = 0. Let x = q - r. Does 15 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 3 = 11. Let j be (-6)\/(-4)*l\/3. Let z be (-1)\/(0 + j\/(-4)). Solve z*n = -11 + 3, 5*n = 3*q - 25 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*q + 4*d, -3*q + 5*d + 7 = q. Let o be 4\/(-24) + 10\/(-12). Does 2 divide 7 + o + (1 - q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 1:42 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 28 + 0*h**2 - h**3 + 0*h**3 - 11*h**2 - 3*h**2 - 10*h. Is w(-14) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5549 and 217?\nAnswer: 38843","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*t**2 + 0*t - 6*t**3 + 0 - 18\/5*t**4 - 2\/5*t**5 = 0.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 36*b + 1 - 1 - 39*b.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.025155 - 44.9688?\nAnswer: -44.993955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06261 in -1\/6, -41, -1\/22?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-24) + (-9)\/(-4). Suppose 5*l - 310 = l + c*j, 0 = -4*l - j + 313. What are the prime factors of l?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/21254 and 13\/14.\nAnswer: 148778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62, 246, 760, 1772, 3450, 5962, 9476?\nAnswer: 14160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.13397569 to 2 decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -273801, -273821, -273835, -273837, -273821?\nAnswer: -273781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8413*w - 12489*w + 4076*w + 2*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -280665017056 and -9.78.\nAnswer: -280665017065.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -1037.7 to the nearest 10.\nAnswer: -1040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 4*t = 210, -5*k + 350 = 3*t - 2*t. What is the greatest common divisor of 28 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 189\/(-9)*(-300)\/14. Suppose 0 = -455*o + i*o + 15. Solve 17 - 4 = -4*x - j, -o*j = x + 17 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 134 - 91. Suppose 52*q - r*q - 135 = 0. List the prime factors of q.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1883\/((-20)\/(-16)*8\/30)?\nAnswer: 3, 7, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 2112000102?\nAnswer: -2112000022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*z**3 + 266*z**3 + 386*z**3.\nAnswer: 584*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 5*x. Suppose x*m - 13 = -4*m + 5*a, 5*m + 25 = -2*a. Let o be (10\/(-6))\/(1\/3). Sort m, 4, o.\nAnswer: o, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -620 to the nearest 10.\nAnswer: -620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -4 + 1*sqrt(300) + sqrt(300))**2.\nAnswer: -240*sqrt(3) + 1236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g + a - 8, -3*g + 24 = -g + 4*a for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2436 divided by -29.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(-24) - 3\/15. Let t = 4\/5 - q. What is the closest to -6 in t, -1, 1\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/h**35*(h*h**(-9))\/h*h**(-15)*h*h\/h**1 assuming h is positive.\nAnswer: h**(-57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/12*2\/(-4). Suppose 2*k - 6*k = 0. Let -1\/2*s**2 + 0 + 1\/6*s**4 + k*s**3 + b*s = 0. Calculate s.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17674815?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of -5*m**8\/336 - 3*m**5\/20 + 4*m**2. Find the third derivative of i(b) wrt b.\nAnswer: -300*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192*z**2 - 43 - 193*z**2 - 186*z**2 + 577*z**2 + 43.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 2.5 (b) -5\/6 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 0.2, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24 + 22. Which is the closest to g? (a) -1 (b) -1\/3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**3 - 2*k + 5. Suppose -4*x - 1 = -l, -x = 4*l - 0*x - 21. Let p(m) = -3*m**3 - 2*m + 6. Give l*p(b) - 6*d(b).\nAnswer: -3*b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/10 - 54\/(-324)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -15*g - 32*g**2 + 24*g**2 + 17*g**2 + 7*g. Let d(w) = 2*w. Determine m(d(y)).\nAnswer: 36*y**2 - 16*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 6, 5, -4, 1\/11, 43\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4560, 9119, 13678?\nAnswer: 18237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/4 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24148 is divided by 423.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -0*d. Find the common denominator of -13\/45 and d + (1 - 201\/135).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -93.287 rounded to the nearest integer?\nAnswer: -93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -131 - -131.3. Let t = 6 - 6.09. Which is the second biggest value? (a) w (b) t (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 429 and 1144?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/((-6 - -2) + 3). Suppose -g + 6 = -t. Suppose -g*l = -39 - 39. Solve s + 3*s = -i + l, i = 4*s - 3 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 192 and 80.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -17*c**2 + c + 7. Let n(z) = -9*z**2 + z + 4. What is -3*m(y) + 5*n(y)?\nAnswer: 6*y**2 + 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1366, -5562, -12574, -22396, -35022?\nAnswer: -50446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -177*g*u**3*z**2 - 2*g*u*z**2 - g*z + u**3*z - 2044*u*z**2 wrt g.\nAnswer: -177*u**3*z**2 - 2*u*z**2 - z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1375, -1390, -1415, -1450, -1495, -1550, -1615?\n\"Answer: -5*h**2 - 1370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 6*f - 13. What is the second derivative of -49*j + 2*j**2 - f*j**2 + 44*j wrt j?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -21, -4, -1\/4, -0.08, 5?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence thhh when four letters picked without replacement from hhthhtht.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/18 - 5649\/27. Let l = -122 - r. Suppose -5*v = -v + 3*x - l, -3*v + x = -49. Is v a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*i**2*u**2 + 46575*i**2 + 9*i*u**4 + 19*u wrt u.\nAnswer: -8*i**2*u + 36*i*u**3 + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 205\/54 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 - 474*u - 26743. What is q(-63)?\nAnswer: -850","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.826128 rounded to 2 decimal places?\nAnswer: 0.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 3.73, 0.3, -0.3, 2\/791?\nAnswer: 3.73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -483*w**2 + 4*w - 4*w - 8711*w**2.\nAnswer: -9194*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -891, -1798, -2713, -3636?\n\"Answer: -4*l**2 - 895*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29880786 is divided by 198?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -156, -1, 7\/4, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 times 25?\nAnswer: 1.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-384)*16*-14\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 4 + 0 + (4 - 13 + 0)*(-27 + 87 - 26))*(-m + m**2 + m) to the form p*m**2 + i*m + y and give p.\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62996 is divided by 30317?\nAnswer: 2362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/7639 and 39\/8?\nAnswer: 61112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 - 19. Let m(p) = -p**3 + 8 - p + 4 + 0*p**3 + 9*p**2. Is m(w) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**5\/2 + 41*h**4\/2 + h**3 - 41*h**2 - h\/2 + 41\/2 = 0. Calculate h.\nAnswer: -1, 1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b**3 - 4*b**2 - 4*b - 4. Let q(j) be the first derivative of j**4 - 5*j**3\/3 - 5*j**2\/2 - 5*j + 27. Determine 5*l(a) - 4*q(a).\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of -j**2 + 1\/900*j**6 + 1\/45*j**3 + 0*j + 1\/60*j**4 + 1\/150*j**5 + 0. Factor n(z).\nAnswer: 2*(z + 1)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -49158287\/285 + 172485. Let w = r + 1\/57. Let p = 0.29 - 1.29. What is the smallest value in p, -3, w?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 24884.02 days?\nAnswer: 2149979328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d - 5*d = 3*h - 35, 0 = -2*d + 8 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -85*f. Let z(p) = 6*p. Let s(o) = 8*o. Let q(n) = 4*s(n) - 5*z(n). Calculate v(q(l)).\nAnswer: -170*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/11 - -1\/4. Is o at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = -74*v + 70*v - 5*s, 0 = -2*v - 2*s + 24 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 215 = 157. Let g = 24 - t. Let f = -15 - g. Does 7 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*q - 4 + 4. Let a be 1 + (-2)\/(1 - 2). Suppose -a*c = 3*y - 51, 2*c = -3*y - q*c + 54. What is y rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 86740595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14 - 14 - 13*t)*(11*t - 29 + 29)*(-1 - 2 + 2)*(-2 + 0 + 9) to the form k + w*t + l*t**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 38579 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -900277, -900258, -900227, -900190, -900153, -900122, -900103, -900102?\nAnswer: -900125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-40)*52 - (7 + 1).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(1\/5)\/n)**(-2\/21))**(-9\/5))**(-36) assuming n is positive.\nAnswer: n**(864\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6573151897?\nAnswer: 13, 19, 167, 8387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -16. Let t be l\/9 + 34\/(-3). Let g = t - -18. What is the least common multiple of g and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -80*t - 3381. What is o(-42)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 + 14. Let j = -1 - b. Is j at least -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1518, -1520, -1522, -1524, -1526, -1528?\n\"Answer: -2*a - 1516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*c**3 - 19*c + 2834 - 2834 + 8*c**3.\nAnswer: -42*c**3 - 19*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jyjjyyjyyjyyyyjjtjyy. Give prob of picking 1 j, 1 t, and 1 y.\nAnswer: 22\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6642391 from 0.2.\nAnswer: 6642391.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 12:14 PM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-16))\/((-15)\/(-9))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -394236, -788471, -1182706?\nAnswer: -1576941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57, -85, -111, -135, -157?\nAnswer: -177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 3 - u**3 + 2*u - 3 - 2*u**2 - 2. What is the units digit of m(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*j**4 + 3*j**4 - j**4 - 11*j + (j**4 + 5*j**4 - 2*j**4)*(2 + 3 + 1).\nAnswer: 16*j**4 - 11*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**4 + 7*p**3 + 6*p**2 + 228*p. Let h(z) = z**4 + 6*z**3 + 9*z**2 + 227*z. Let s(y) = 2*h(y) - 3*j(y). Find the second derivative of s(v) wrt v.\nAnswer: -12*v**2 - 54*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**3 + 57 + 7*a**2 - 22 - 32 in the form q*a**3 + k*a**2 + j*a + w and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -46 <= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*u + 33*u + 40 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -428 + 603. Let k = y + 285. What are the prime factors of k?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + -14. Is a less than -22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1081, -4366, -9837, -17488, -27313?\n\"Answer: x**3 - 1099*x**2 + 5*x + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q - 3*q + 3*q + (38 + 4 - 23)*(2*q - 2*q + 2*q))*(-6 + 4*q + 6).\nAnswer: 140*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.24 (b) -0.428 (c) 0.1 (d) -27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaueuafveeeevzu. What is prob of sequence vezu?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 d when three letters picked without replacement from {q: 1, f: 4, n: 4, d: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234663 is divided by 585.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 3. Suppose -c - 4*c = 3*b - 43, -r*b + 2 = -2*c. Find the third derivative of 6*u**6 - 13*u**6 + 2*u**b + 15*u**2 wrt u.\nAnswer: -600*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 0.4 (c) 0.116\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7 + (0 - -1 - 1). Let z(s) = 7*s**2 + 7*s - 8. Let c(g) = -8*g**2 - 8*g + 9. Let i(a) = b*z(a) + 6*c(a). What are the prime factors of i(-4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l - 46266*g = -46264*g + 40, l - g - 28 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 PM and 5:42 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + 10)*(-2)\/(-4). Let o = -21 + 21. What is the second biggest value in -4, o, m?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -5*g**2 - 6459*g + 6447. Determine i(1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -7*k**2 + 5146*k - 5144. Determine c(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -605, 251, 1107, 1963, 2819?\nAnswer: 3675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 133. Suppose 2*q = -2*m + l, 2*m + 48 = -4*q + 284. Is q a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - x + 0)*((2 + 0 - 4)*(4 + 2 + 3) - 1 - 16 + 34 - 1 + 0 + 0 + (-4 + 1 + 4)*(3 - 4 + 3) - 3 + 3 + 1 - 2 + 2 - 3).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*(-36)\/(-486) + 2\/(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - 16*h**2 + h + 28. Let w be k(-16). Suppose -w*x = -98 + 50. Solve -5*u - x = -4*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/772 at most as big as -0.07?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4*r - 12 = 4, 4*r + 44 = 2*y. Let i(c) = 220*c**2. Let n be 2*(-1)\/(-2)*1. Let s be i(n). What is the greatest common factor of y and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69814931.\nAnswer: 69814931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -27*u**3 + 175*u**2 - 3*u. Let a(s) = 23*s**3 - 176*s**2 + 3*s. Give -7*a(i) - 6*b(i).\nAnswer: i**3 + 182*i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*o**6 - 92*o**4 + 59*o**3 - 29482*o**2.\nAnswer: -240*o**3 - 2208*o + 354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3970405997 from -0.3.\nAnswer: 3970405996.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 225 divided by -1.\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -10815 rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**3 + 2*o**3 - o**3)*(-883*o + 4701*o + 2800*o).\nAnswer: 6618*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 r when four letters picked without replacement from {r: 6, k: 12}?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 7467?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/63)\/(10\/135).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m - 35 = -126. Let u = m + 1. Is u a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*n - 5935 = -5687 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 918484 to the power of 1\/2, to the nearest integer?\nAnswer: 958","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -156 by 1.\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of 25*k**7\/42 - 29*k**4\/12 + 21*k - 27. Let n(q) be the first derivative of w(q). What is the third derivative of n(o) wrt o?\nAnswer: 1500*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of -s**3\/3 - s + 6346. Let x(v) = 6*v**2 - 3*v + 5. Determine 10*g(h) + 2*x(h).\nAnswer: 2*h**2 - 6*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**3)**48*b**(-1\/14)\/(((b*b*b**(2\/19)*b)\/b)\/b))**(-41) assuming b is positive.\nAnswer: b**(-2081119\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, y: 1, a: 1, d: 1, h: 1}. What is prob of sequence ya?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a = 9*a - 2*y - 4, y = -a - 5 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 3*b - 5*n + 15, -5*b = 3*n + 47. Let a = 6 + b. Let o be 2\/a + (0 - 2). What is the third smallest value in o, 4, 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -237*a + 236*a = 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -1\/18421, 0, 9\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33906, 34179, 34440, 34683, 34902?\nAnswer: 35091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 7) in base 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3392 - -30565\/9. Find the common denominator of 23\/11 and c.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q + 6*q - 27*q**3 - 4*q.\nAnswer: -27*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 6:45 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, x: 14}. What is prob of sequence rxx?\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wngw when four letters picked without replacement from wgogngmaamamwaamaw?\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-7) - (-3)\/((-21)\/11).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (15\/36)\/((-135)\/(-72))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 903.1764 decades?\nAnswer: 90.31764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -8*(-1)\/((-12)\/(-3)). Suppose 0 = l*t - t - 87. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1560140 is divided by 119919?\nAnswer: 1193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a. Let h(c) = -c + 1. Let k(f) = 17*f - 5. Let o(x) = 5*h(x) + k(x). What is g(o(p))?\nAnswer: -24*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - l**2 + l + 1. Let j be p(2). Suppose j = 4*o - 9. Suppose o*i - 16 = 4. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -313\/2 + 530\/3. Find the common denominator of 73\/12 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 + -16. Solve 5*u = -0*u + 2*o + 14, -2*u + n = -o for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4205 (base 8) in base 10?\nAnswer: -2181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 10 = -4*r. Suppose 4*l = -r*y - 10, 4*l - 2 = 3*y + 4. Suppose 10*t - 1144 + 114 = l. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 208 = 4*l - 40. Let x be (-34)\/51 - l\/(-3). Solve 4*n + x = -0*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 13) to base 2\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - -46.\nAnswer: 46.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 109334975*u**2 - 61517833 wrt u.\nAnswer: 218669950*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178*y + 68 = -174*y. Calculate the remainder when 82 is divided by y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-1 + sqrt(112))**2 + 2 - (sqrt(112) - 3*(1 + sqrt(112)))**2) - ((sqrt(567)*-1 - sqrt(567))*-4 - sqrt(567))\/(sqrt(36)*-1).\nAnswer: -338 - 91*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 195956 - 113057. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/104742 and -55\/4115574?\nAnswer: 1041240222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/864 and 92\/15.\nAnswer: 4320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 - -278344?\nAnswer: 278350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 4 = -10*x. What is the closest to 1\/7 in 2\/11, -5, x?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 87, 176, 265?\nAnswer: 354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3099963 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 4*g + 13056 = -l, -5*g = -l + 3248. What is the thousands digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29*-144\nAnswer: 4176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.323 less than 0.6?\nAnswer: 0.923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5 + (-52)\/(-12))*804\/(-2).\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x + 1069. Let g be n(0). Suppose 311 = -2*y + g. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -0.3 (c) 2.41 (d) -8 (e) -1362\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 - 5*g - 4. Let n be d(6). Suppose -n*l = 3*w - 872, -3*l = 5*w - 1937 + 482. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**3 - 2*n**3 + 3*n**3 + (17 - 8*n - 17)*(3*n**2 + 2*n**2 + 0*n**2) - 1 + 1 + 3*n**3.\nAnswer: -38*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/7 + 86545104*w\/7 - 936256878296352\/7.\nAnswer: -2*(w - 21636276)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/34 - 3\/238. What is the nearest to 0 in y, -4\/7, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2215 + 675?\nAnswer: 3001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12243 and 170289?\nAnswer: 1873179","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 197937 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -87 + 86. Let z be (k - -4) + 99\/(18\/(-6)). Is z != -29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.159 + 0.159. What is the smallest value in -2\/3, s, 8, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31397.8 - 31398. Let k(x) = x**3 - 3*x**2 - 3*x - 1. Let y be k(4). Sort 2\/11, y, q, -10 in decreasing order.\nAnswer: y, 2\/11, q, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -3*u**3 - 28*u**2 + 2*u + 107. Give j(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 459 is divided by 98.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2306, 4490, 6674, 8858, 11042?\n\"Answer: 2184*b + 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2242 + 425*v**2 - 352*v + 1123 + 1119 wrt v?\nAnswer: 850","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n - 80011 = -10502. What is the remainder when n is divided by 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k + 57 + 2363 = -119*k for k.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 966, 963, 960, 957, 954, 951?\n\"Answer: -3*c + 969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - d**2 - 2*d - 3. Let m be s(3). Suppose 3 = 3*y - m. Suppose -i + 3*i + y*x = 0, -5*i + 4*x = -42. 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(w) = 99*w**2 + 48 - 113*w**2 + 100*w**2 - 79*w**2. Let y(p) = p**2. Determine v(y(z)).\nAnswer: 7*z**4 + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 56*s**2 - 3155*s - 2118. Calculate j(57).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -1 - 1. Let g(b) = -5*b**2 + 4*b**2 + 0*b**2 - b**2 + 354999*b**3. Let l be g(v). Round l to the nearest 100000.\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2131 (base 5) to base 14\nAnswer: 16b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 37, -16058 in decreasing order.\nAnswer: 37, 4, -16058","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of -407*j**5\/60 + 28*j**3\/3 + 27*j**2. Differentiate h(k) with respect to k.\nAnswer: -814*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*c + j - 0, -16 = -c + 4*j. Suppose -2*m = -3*p - 169, 147 + 64 = 3*m + 4*p. Suppose 51 + m = c*a. Is 11 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -627? (a) -0.1 (b) 1 (c) -1\/33 (d) -227 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of -g**4\/6 + 5*g**2 + 2*g + 127. Let b(h) = 39*h. Let x(d) = 77*d. Let m(v) = 11*b(v) - 6*x(v). What is j(m(o))?\nAnswer: 132*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -13 - 13*h - 25*h - 14*h**2 - 2*h**3 + 10*h - 17 + h**3. Calculate the remainder when 249 is divided by s(-12).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-2*sqrt(75) + 3 + (1 + sqrt(75))*-4)*-5 + -3)**2.\nAnswer: -337520 - 3000*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3318015 = 3*y + 5*i, 5*y - 3*i = 2923435 + 2606556. Round y to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**2 + s**2 - s**2 + (-3*s - 2*s + 3*s)*(s - s + 2*s) - 5*s + 1 - 3*s + s**2 + 7*s + (-3*s + 6*s + 2*s)*(0*s + 2*s + s).\nAnswer: 13*s**2 - s + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.1558 times 0.2\nAnswer: 0.03116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 10*v**2 + 17*v + 19. Let p be k(-8). Round p to the nearest ten.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4652 and -5.\nAnswer: -23260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -71, -78, -87, -98, -111, -126, -143?\nAnswer: -162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of z**5\/60 - z**4\/12 - 19*z**3\/3 + 27*z**2. Let i be w(8). What is the lowest common multiple of 4\/i*(-120)\/(-48) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83614, 83001, 82396, 81805, 81234, 80689, 80176?\nAnswer: 79701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 - 25 - 1104*m**3.\nAnswer: -1104*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2625 is divided by 1153?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -148028, -592105, -1332234, -2368415?\nAnswer: -3700648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35362008?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 1) + 10 + 3 + -7.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65 - 61 - (-3525)\/(-880).\nAnswer: -1\/176","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.90051 rounded to zero decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 7. Let f = 2 + k. What is the remainder when 9 is divided by 2 - (-4 - (-2 + f))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 3)*(-1 + 445*m + 6 - 860*m + 438*m).\nAnswer: 46*m + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -30, -0.4, 2, -135 in decreasing order.\nAnswer: 2, -2\/9, -0.4, -30, -135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6\/(-4)*(310\/(-15) + -4) is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18274996361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + (-336)\/64)*-12?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2417 - -8429. What are the prime factors of f?\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 5*s - 7221 = 0. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20714755?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 989, 1967, 2945, 3923, 4901?\nAnswer: 5879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a factor of 7412621?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide (5 - 6)\/((-3)\/912)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -0.0404, -1, 36, 5, 1\/4 in decreasing order.\nAnswer: 36, 5, 1\/4, -0.0404, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 8*j**2 + 9*j + 19. Let o be z(-7). Let p = -727 + 727. Solve w = -p - o for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -109955 and -3848473\/35 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157 = 7*y - 108 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ejjxmxxxjjxjjejj. What is prob of sequence ejj?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 737541 times -0.4?\nAnswer: -295016.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -1\/2. Let f = -51.6 + 57. Let o = -5 + f. Sort u, o, -0.4 in decreasing order.\nAnswer: u, o, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -28321 = -28324?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m - 3*m + 2*m**2 + (-25 + 13 + 13)*(m - m + 3*m**2).\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 15*h. Let q(p) = -14*p + 2264. What is g(l) + q(l)?\nAnswer: l + 2264","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 256759?\nAnswer: 97, 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2254447 and -0.076901.\nAnswer: -2254447.076901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.3339 + -0.3339. Let s = -6.7 + 7.1. Which is the smallest value? (a) w (b) -5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -26685c - -18?\nAnswer: -266844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 - 36. Sort 5, a, 4 in decreasing order.\nAnswer: 5, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (42\/36 + 2\/(-3))*18442?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 9:06 AM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 94735241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -626 - -ce?\nAnswer: -547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 98 (b) -0.6 (c) 33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -29\/1786?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -1. Calculate the remainder when 48 is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/6)\/((-7)\/(-693)). What is s rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4496 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 723963407?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.016173024 rounded to 3 decimal places?\nAnswer: 2.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from asaigidaagai. Give prob of sequence aigi.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 5*m. Let c(r) = 5*r + 2. Let y(u) = u + 1. Let h(g) = -2*c(g) + 4*y(g). What is 2*h(s) + 3*w(s)?\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/7, -0.395, 37\/6, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 54*p**2 - 3026*p - 1. Let q(h) = -56*h. Calculate o(q(i)).\nAnswer: 169344*i**2 + 169456*i - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17.86 + -19.898. Let k = -477 - -479. Let i = k + s. Round i to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 3*q + 34. Give s(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 + 6. Let x(g) = 5 - g**2 + 4*g - 9*g + 6*g. Let a be x(0). What is the nearest to -0.1 in c, -0.5, a?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1139565804 to the power of 1\/6, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15*-5*5*1?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 5*r - 21, -5*o + 2*r = -3*o - 12. Solve o*p = -2*k + p, 3*k = p + 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 8) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 562 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 605734?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three sixteenths of a day?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -271\/130 + -19\/52. What is the common denominator of b and 71\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37084588 divided by 8\nAnswer: 9271147\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.529 and 4?\nAnswer: 4.529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/(-4)*126\/35. Let t = v + 14. Suppose 2*b = t*n + 59, 2*n = -4*b + 151 - 21. Solve 0 = -k - 3*x - 2 + 14, -b = 4*k - 4*x for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 17*g**2 + 19*g**2 - 32*g**2. Let a(k) = -4*k. What is a(j(w))?\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ltllllllllllllllnll. What is prob of picking 1 t and 1 l?\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) -2\/313 (c) 1 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*o**2 + o**2 - o**2)*(2*o**2 + 0 - 11 - 2) as p*o**4 + l*o**2 + t*o**3 + r + d*o and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of -31*z**5\/60 + z**2. Let o(k) = -7523*k - 7522*k + 22698*k - 7647*k. What is o(m(s))?\nAnswer: -186*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*x + 4. Suppose -6 + x = -j. Solve -j*z + 5*h - 5 = 0, -5*z - 8 = -0*h - 4*h for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 84086, 168140, 252194, 336248?\n\"Answer: 84054*o + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26220 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 8*i + 2. Let u(l) = 7*l + 1. Determine -6*q(z) + 7*u(z).\nAnswer: z - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25 + -1224344?\nAnswer: -1224315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1393835 is divided by 1851?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18361?\nAnswer: 7, 43, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/23 in 2\/13, 4\/3, -0.1, 6\/13?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t + 2*h - 2 = 11*t, -5*t = h - 17. Solve -5*v = -f - 30, 3*f + f = -t*v for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 - 3\/(-2))\/(-1). What is the closest to 3 in 1\/6, u, -17, -0.05?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 divided by 5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.159 + 1.119. Let w = -0.04 - b. Let o = 49 - 46. What is the third smallest value in -1\/8, w, 0.4, o?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 60*s**2 - 12*s - 12. Let p(x) = -24*x**2 + 5*x + 5. Give 5*l(t) + 12*p(t).\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 315 = 3*u - 5*f - 75, 3*f - 279 = -2*u. Let y be 106\/u - 6\/(-20)*-2. Is 1 not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27546632?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 24677925511 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 339947038 and 2116?\nAnswer: 1058","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 44038.56 nanograms?\nAnswer: 0.00000004403856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 75.25004 + -75.5. Let q = -0.043 - 0.207. Let i = q - u. What is i rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1589243 is divided by 93469.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -380, -765, -1162, -1577, -2016, -2485?\nAnswer: -2990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 2*z = -55 + 160, -2*g = 3*z - 23. Suppose 0 = 2*s - g + 77. Let l = -21 - s. Solve v = -v - l for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 5*q + 123. Give y(-24).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 11:13 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 - 22.5. Let z = o + 3.58. Round z to 1 dp.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 - v - 1. Let x = -120 + 118. Let q be j(x). Suppose 0 = 10*w - q*w - 595. Calculate the remainder when w is divided by 61.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/19066 and 19\/114396.\nAnswer: 114396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (2 - (-7 + 9))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**4\/11 - 1750*j**3\/11 - 374898*j**2\/11 - 744554*j\/11 - 33764 = 0. Calculate j.\nAnswer: -506, -367, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6423 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2849, 5672, 8445, 11144, 13745, 16224, 18557, 20720?\nAnswer: 22689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 78664, 78659, 78652, 78643, 78632?\nAnswer: 78619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 + -10. Suppose -z*x + 598000 = -4*x. What is x rounded to the nearest 10000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2579829 to the nearest integer?\nAnswer: 1606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/5 (b) -9504217 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -33?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -126, -149, -174, -201, -230, -261?\nAnswer: -294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 168659394?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2077, 8402, 18943, 33706, 52697, 75922, 103387, 135098?\nAnswer: 171061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 953.856 micrograms to tonnes.\nAnswer: 0.000000000953856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 198 and 7392?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -84.9355 rounded to zero decimal places?\nAnswer: -85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 205452117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbmm when four letters picked without replacement from mmbbmbbbbbmbbbbmbbm.\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(152)\/sqrt(8) + -5 + sqrt(2736) + 2 + sqrt(2736) - ((sqrt(1216)*2 + -4)**2 + 3)).\nAnswer: -459*sqrt(19) + 14658","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 + 9*f - 2. Let q be d(9). Suppose -38*z + 115 = -153*z. Put -8, -10, z, q in ascending order.\nAnswer: -10, -8, q, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56, 56, 46, 20, -28, -104, -214, -364?\nAnswer: -560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 - 44. Let v be (-30)\/(-4) + w\/(-12). Are v and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-4)*(9 - -1). Find the third derivative of -f**2 + 2*f**5 - f**5 + f**d + 0*f**5 wrt f.\nAnswer: 120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnneqnenqeeeqqqn. Give prob of picking 3 n.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -1382*p. Let y(k) = -18*k. Determine y(v(i)).\nAnswer: 24876*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 - ((-34)\/12 - 2). Let y(w) be the third derivative of 0 + 0*w - 1\/24*w**4 + 2*w**2 + v*w**3. What is y(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -5*v**3 + 15*v**2 + 25*v - 4. Let m(o) = o**3 - 2*o. Let n(b) = -4*m(b) - w(b). What is n(16)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 470700, 939481, 1408262?\nAnswer: 1877043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of r**5\/4 - 45*r**4\/4 + 405*r**3\/2 - 3645*r**2\/2 + 23*r. Factor u(j).\nAnswer: 5*(j - 9)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2235 + 12215*h**3 - 2*h + 2*h + 2235 - 12808*h**3.\nAnswer: -593*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 8*v**2 + 6*v + 10. Let d be z(7). Suppose 113*n - 1674 = 122*n. Let r = 196 + n. Solve 8 = 3*a - i - 2, -d*a = -5*i + r for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q - 5*q - 370 + 391 = -0*q - 4*i, 21 = 4*q + i for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 840825158?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 3*o**2\/5 - 33*o = 0?\nAnswer: 0, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 128\/160*-5*(-1)\/(-102)*1?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 11316704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -6, 2, 1, 38?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 5*d + 10 = -2*x, 0 = -3*x - 2*d - 26. Let c = 37 - x. Is 7 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -134411, -134501, -134651, -134861, -135131, -135461?\nAnswer: -135851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12443028 and 1086891.\nAnswer: 360847812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6016 is divided by 67?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -202*o**3 - 86*o**3 - 5*o**3 - 152*o**3 + 84*o**3.\nAnswer: -361*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2603?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 6201927?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 46*i - 1 + 1 - 10*i in the form n*i + u and give n.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s + 1\/2*s**2 - 3\/2.\nAnswer: (s - 3)*(s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/4)\/(4\/8). Suppose -g - 298 = 4*q, -6*q + d*q - 3*g - 228 = 0. What is the remainder when (-3)\/(-3) + q\/(-2) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -n**5\/60 + n**2. Let l = 185 - 72. Let v(a) = -l - 8*a**2 + 223 - 110. Calculate v(g(u)).\nAnswer: -8*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 + -12. Solve g = 2 - k for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 - 2*g + 18. Determine h(-10).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 + 47 + -13 + -28.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 5*s**2 + 107*s + 53. Let c(d) = -21*d**2 - 427*d - 221. Calculate -25*a(j) - 6*c(j).\nAnswer: j**2 - 113*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2744*m**3 - 4*m - 2742*m**3 + 4*m.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 224 - -72?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y + 9. Let w be 6\/5*(-6)\/12*-90. Let s = w + -48. Determine b(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three tenths of a millimeter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1026662 divided by -513331?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -82\/2525?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 147989.9 decades?\nAnswer: 14798.99","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.235 in -0.37, 1\/9, 1?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.2 - -2. Let x = m - -0.7. Let v = 6 - 4. Which is the second biggest value? (a) 4 (b) x (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 4*x + 901 - 3505, 4*o - 4*x = 2596. Calculate the remainder when o is divided by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 681*s**3 - 8.\nAnswer: 681*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11261*m**2*x**3 + 3*m**2*x**2 + 2*m**2 - 38809*m*x - 11*x**3 + 12*x - 1 wrt x?\nAnswer: -67566*m**2*x + 6*m**2 - 66*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - (-14)\/(-6))*-6. Suppose 61 = 3*x - 3*q - r*q, 0 = 5*q + 25. Suppose p - x + 2 = 0. Is 5 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 978*m - 675*m - 649*m.\nAnswer: -346*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1359076007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 71683553 + -42393553. What is m rounded to the nearest one million?\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1499434 divided by 28.\nAnswer: -749717\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 + 12*j + 2. Let f(l) = -43*l + 319. Calculate the remainder when x(7) is divided by f(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-750)\/7425)\/((-28)\/(-308))?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -7*p - 69. Let a(b) = 105*b + 1036. Give -6*a(o) - 91*f(o).\nAnswer: 7*o + 63","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3405 is divided by (-22)\/(-297) + 2094\/162?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 2 f, and 1 a when four letters picked without replacement from ggafgggagggrfrggfrr?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -113, -127, -159, -215, -301?\nAnswer: -423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.18 - -3.62. Let w = k + -4. Which is the second smallest value? (a) 2 (b) -2\/17 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*i = -334 + 292 - 808 for i.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*f + 220 = -62*f. Calculate the least common multiple of f and 260.\nAnswer: 2860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 918, 862, 814, 774, 742, 718?\nAnswer: 702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-24)\/(-2))\/(-4) - -91. Suppose h = u - 5*u. Is u less than -23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28 (base 15) to base 13.\nAnswer: 2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000010417802 to seven decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*m**3 + 189*m - 2742.\nAnswer: 6*m**2 + 189","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12.1 + 12. What is the fourth biggest value in -2\/9, 0.1, 0.2, r?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2*-2)\/1 + 0. Let h = 1.2 - 0.4. Let g = 1.2 + h. What is the biggest value in m, 0.5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6 + 8)\/(2\/5). Suppose -o*s + 174 = -6. Calculate the greatest common factor of 4 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 277 - 256 - ((7 - (-3 - -7) - 1) + 6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 1 (c) -3 (d) 1.4419 (e) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - 9*z**2 - 19*z - 24. Let f be h(-7). Solve 5*a + 11 = f for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-15)\/12 + 20\/((-1520)\/(-19)). Sort 3, b, 1575 in decreasing order.\nAnswer: 1575, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -13*u + 58. Give k(-8).\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 4*k**2 + 13*k + 13. Let y(l) = l**2 - 31*l + 22. Let x be y(30). Does 33 divide o(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 13855 = 5*z, 5559 = 3*z - z - 5*l. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 4. Let g = u - -1. Let s = 2.4 - 2. Which is smaller: s or g?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2962052 to the power of 1\/2, to the nearest integer?\nAnswer: 1721","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -556290583 != -556290584?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 4:59 PM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 a, and 2 g when four letters picked without replacement from qzgqgqzauang?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 18204?\nAnswer: 54612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11295 + 11295.006083. What is c rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*41*1 - 2. Let i(d) = d**3 - 2*d**2 - 2*d + 6. Let f be i(5). Let u = v + f. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*w - 45 + 45)*(-2*w - 2*w + 5*w) + w**2 + 2*w**2 - 4*w**2 in the form a*w**2 + r + s*w and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -613192 - -780.4345.\nAnswer: -612411.5655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36 - 31. Find the third derivative of 14 - 4*v**t - 14 - 7*v**2 wrt v.\nAnswer: -240*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -4 + w**3 - 2*w**3 + 3 + 3 + 5*w**2. Let v be p(5). Suppose v*r - 51 = -r. What is the remainder when r is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4588 + 5620 = 32*b. Calculate the highest common divisor of b and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -6, -1104, 1, -3 in ascending order.\nAnswer: -1104, -6, -5, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oa when two letters picked without replacement from oaaaaaaoaaooaaaaoaaa.\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -163, 0, -0.3, 44, -4\/19?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3167 + 4783. What is the greatest common factor of s and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -130 - 5?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 280\/(-980) - 615\/(-21)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -3*h, -2*h = -2*f + 10. Suppose -4*m + 7 = -f*w - 13, 3*m - 4 = w. Solve 6*z - z - 4*i - 7 = m, 0 = -4*z - 3*i + 18 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hc when two letters picked without replacement from {h: 7, c: 3, m: 4, u: 5}?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d + 45000. Let v = 8 + -8. Let t be f(v). What is t rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 69 = 8*j. List the prime factors of j + 3*(-1)\/3.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1028 is divided by 103?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 4*r - 1278, 4*r + 768 = 3*x + 6*r. Let i = x - 143. Does 15 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + o**2 + o - 3. Suppose 4*l + l - 2 = 3*b, -b - 3*l = -4. Let w be b*-3 - (6 + -9). Suppose 2*x + 0*x = w. Give v(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 - 6*q + 18. Let h be c(-8). Let r(i) = -170*i + 170*i + i**h. Let d(f) = -3*f**2 + f**2 + 2*f**2 - 9*f**2. Give d(r(y)).\nAnswer: -9*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2294159941 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**36\/p*p**22*p*(p\/(p\/(p*p**(-24)*p)))\/(p*p**(-9\/10)) assuming p is positive.\nAnswer: p**(359\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -6*g**2 + 3*g. Let l(x) be the third derivative of -x**5\/120 + 38*x**3\/3 - 4*x**2. Let v(b) be the first derivative of l(b). Determine 3*v(a) + y(a).\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 2 - 4 - 4 + 1 + 4 + (-1 - 1 + 3)*(-5 + 3 + 4) - 3 + 2 + 0 + 30 - 25 - 24)*(3*y - 2*y - 3*y)*(-4 + 3 + 3) to u*y + w and give u.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (-13 - (-8 + -1))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 96913 and 96999 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of c**2\/2 - c + 3. Let t be d(5). Suppose 2*v = 9 + 1, 4*v = -2*x + 34. Solve -4*q + 2*q - t*f - 8 = 0, x = -q - 5*f for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*p - 111562 + 124922 = 0 for p.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s - 6. Let g be h(-5). Let n = 52 - 47. Let c = n - g. Solve 5*y = i - c + 12, 4*i = -4*y + 28 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 324 - 4?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/16)*b\/b**(2\/11))\/((b*b*b**(-1\/20)\/b)\/((b*b**(-9\/7))\/b)) assuming b is positive.\nAnswer: b**(-8347\/6160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 36016 and 36.45.\nAnswer: 36052.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -112981 + 40673051\/360. Calculate the common denominator of 43\/9 and t.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 75495.7305 and -9?\nAnswer: 75504.7305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 107140 and 9980?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01122 * -4.\nAnswer: -0.04488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -303?\nAnswer: -301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*n**5 + 7*n**5 - 6*n**2 - 7*n**5 wrt n?\nAnswer: -780*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 511 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2130*i + 2135*i = 5*k - 15, 5*k + 20 = -2*i for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.01293 + 459.91293. Round x to the nearest 10.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24256 and 8.\nAnswer: 24256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -34 and 0.056.\nAnswer: -1.904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/7))**12\/(h*h\/h**(1\/4)*h\/h**(-2\/15)) assuming h is positive.\nAnswer: h**(-2651\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 - 0*(39\/(-12) + 3). Suppose 0 = 127*k - 125*k - v. Solve -8 = 2*u + k for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/((-1911)\/(-14))*5*18\/30.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wrww when four letters picked without replacement from rrwww?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*s**2 + 9*s**2 - 98*s**2 - 2*s**2 in the form m*s**2 + c*s + j and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20937 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*i**(-1\/4)*i)**2)**(-9))**(-1\/2))**(-20) assuming i is positive.\nAnswer: i**(-315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 371*o**2 + 372*o**2 - 765*o**2.\nAnswer: -22*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 38.89 from 0.02220448279.\nAnswer: -38.86779551721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 135*j. Let q(r) = 16821*r. Calculate a(q(c)).\nAnswer: 2270835*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -1963*m - 5. Let y(n) = 1085561*n + 2764. Calculate -2764*p(o) - 5*y(o).\nAnswer: -2073*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 2\/3, 0.5, 7\/4, 19\/861.\nAnswer: -1\/3, 19\/861, 0.5, 2\/3, 7\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54\/(-63)*252\/(-27)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 2:01 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157 - 184 = u - 10*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = c, 303 = -0*w - 5*w - 3*c. What is w rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 380442248 to the nearest integer?\nAnswer: 725","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -9, -188 in increasing order.\nAnswer: -188, -9, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 92.58 - -0.42. Let g = -226 + j. Let a = 133.0000069 + g. What is a rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*y - 28*y = -2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 28497762 divided by 18?\nAnswer: 1583209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2 (b) 6 (c) -30\/11 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-100 - -90) + 61 - ((-1 - -2) + -1) - -6.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 27, 9, -35, -117, -249, -443?\n\"Answer: -2*f**3 - f**2 - f + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(40)*-2*-1)\/(sqrt(8) + (1*sqrt(80))\/sqrt(10)) + -2.\nAnswer: -2 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/(-3))\/((-8)\/300*5). Let l(g) = -g**2 + 9*g + 5. Determine l(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2\/401 (b) 4\/5 (c) 41 (d) 1\/10 (e) -1 (f) 2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 822579303 a multiple of 5157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -90*b**2 + 19*b - 1 + 3 - 2*b**4 - 81*b**2 + 0 + 162*b**2 as f + r*b**3 + a*b**2 + o*b**4 + l*b and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**4\/8 + 45*b**3\/8 - 6*b**2.\nAnswer: 3*b**2*(b - 1)*(b + 16)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + 8*l**2 + 10*l - 11. Let p be d(9). Find the common denominator of (p\/20)\/((-16)\/520) and 75\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 126\/(-108) - (-2)\/3. Sort 2\/57, k, 0 in decreasing order.\nAnswer: 2\/57, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (5 + sqrt(133)\/sqrt(7))**2 + (((sqrt(114) + sqrt(114)*1)*-6)\/sqrt(6))**2)*4.\nAnswer: 40*sqrt(19) + 11108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-8)*2*208\/(-104)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 583*u**2 - 79558*u - 4382. Determine w(365).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/3 less than -1\/245128?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-8)*(-9)\/((-2295)\/(-34)).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 399 - 1356 = 0. Let w = -5267\/15 + j. Let i = -0.02 - -0.02. What is the closest to 0.02 in w, 4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12010020112 (base 3) to base 8\nAnswer: -304652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of -a**10\/30240 - a**7\/840 - a**4\/12 - a. Let w(z) be the third derivative of t(z). Find the third derivative of w(q) wrt q.\nAnswer: -60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31850561737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -132130, -130596, -128040, -124462?\n\"Answer: 511*f**2 + f - 132642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-1))\/(i*i*i**2*i)*(i**(-2\/7))**(-36) assuming i is positive.\nAnswer: i**(51\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + 2*f - 2. Let b(k) = -326*k**2 + 19*k + 44. Let c(z) = -2*b(z) + 18*q(z). Find the first derivative of c(r) wrt r.\nAnswer: 1340*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1*(5 + ((-5 + -4*sqrt(11))*-2)**2).\nAnswer: 160*sqrt(11) + 808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 884\/(-6786)*(-1044)\/(-2958)?\nAnswer: -4\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -308*l + 51. Let d(s) = -s + 8. Give 6*d(c) - t(c).\nAnswer: 302*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 213 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55153586 + 11.\nAnswer: -55153575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 96, 98, 100, 102?\n\"Answer: 2*n + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of s**4\/16 + s**3\/4 - 9*s. Factor h(q).\nAnswer: 3*q*(q + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -1, -0.052, 3, 1.\nAnswer: -1, -0.052, 1, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.7 * 0.01.\nAnswer: 0.037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 406*a**2 - 355*a**2 + 236*a**2 + 2220*a**2.\nAnswer: 2507*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 + -5 - (4 + 0) - -17. Does 56 divide 25092\/14 - (46\/h - 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 900 and 884 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooj when three letters picked without replacement from {o: 5, j: 14}?\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (53\/((-48230)\/(-84))*13)\/((-6)\/(-170)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millennium in decades?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.36 less than 3.583?\nAnswer: 6.943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 34*i - 99. Determine m(5).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34 and 2482.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 88 = 2*m, -38 = -m + 3*o + o. Suppose -16*y + 18*y = m. List the prime factors of (y\/9 + -2)\/((-3)\/(-117)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 1423*-2.1.\nAnswer: -2988.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s*s*s**8*s)*s**8)\/(s**(-2\/7)\/s*s*s*s\/(s\/((s*((s*s**9\/s)\/s)\/s)\/s))) assuming s is positive.\nAnswer: s**(-61\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*x - 3*x + 26*x)*(-3*x + 0*x + 2*x) - 2*x**2 + x**2 - x**2 + (0*x - 4*x + 2*x)*(0*x - 3*x + 2*x) + x**2 + 5 - 5 to c + t*x**2 + b*x and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 + 330\/105*-5)*14?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a day in minutes?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*v + 36*v + 28*v.\nAnswer: 51*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 9) to base 7\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -60304.\nAnswer: -1\/60304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3142 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3\/4 + 5\/4. Let v = -131.7 - -131.7. What is the third biggest value in v, 0.2, c?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56010731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -53881099 and 2?\nAnswer: -107762198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -2) + -37 + (-13)\/143*-11 + 1?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4814, 7034, 9260, 11492, 13730?\n\"Answer: 3*y**2 + 2211*y + 2600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-598)\/(-8) - (-1)\/4. Let o = k + 25. Suppose 3*z - 4*f - 12 = -2, -3*f + 15 = 0. Calculate the greatest common divisor of z and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/626028 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -11 - ((-16)\/9 + 8\/(-36)). Let n = 11 + q. Suppose 0 = 2*g - 5*g. Put -2, g, n, 3 in ascending order.\nAnswer: -2, g, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of -w**4\/28 + w**3\/21 + w**2\/14 - w\/7 + 2. Factor f(r).\nAnswer: -(r - 1)**2*(r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0564927084 to three dps.\nAnswer: -0.056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.62 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 - 19. Let w(t) be the first derivative of 2*t - 2*t**5 + v*t + t + 8 + t**5. What is the derivative of w(y) wrt y?\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(495) + -2*sqrt(495))\/(sqrt(20)\/sqrt(4)*-5))**2.\nAnswer: 99\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20 by -11.\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76182582 divided by -42.\nAnswer: 1813871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, -0.4, -527526?\nAnswer: -527526","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92320401.\nAnswer: 3, 30773467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 797, 1622, 2447?\nAnswer: 3272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -5*r. Let f(b) be the second derivative of -219*b**4\/2 - 57*b. What is f(x(z))?\nAnswer: -32850*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13814172*g**4 - 7110910 wrt g.\nAnswer: -55256688*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y**2 - 9*y + 2. Let m(z) = 6*z**2 - 19*z + 4. Let x be (15\/(-10))\/((-3)\/(-18)). Let l(p) = x*u(p) + 4*m(p). Factor l(f).\nAnswer: -(f - 1)*(3*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*(2\/(-2))\/(-2))\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93397604?\nAnswer: 2, 409, 57089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -472074, -472073, -472072, -472071, -472070, -472069?\n\"Answer: k - 472075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 PM and 9:13 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - l. Let k(u) = 5*u**2 + 8 - 7*u + u**3 + 6*u + 3*u**3. Let h(z) = -k(z) + 5*s(z). Determine h(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g + 9*g - 976 = 0. Find the first derivative of -21*x**3 - 92 + 152*x**4 - 28 - g + 21*x**3 wrt x.\nAnswer: 608*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.010848081 to four decimal places.\nAnswer: -0.0108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 2:15 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 96685935 take away 823.0085?\nAnswer: 96685111.9915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2396311070 and -2.\nAnswer: 2396311068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 252 and 56.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + 1758154?\nAnswer: 1758153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 43 (base 9) to base 13\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 101*h**3 + 123 with respect to h.\nAnswer: 303*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1104680 or -1104693?\nAnswer: -1104693","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36 + -34. Let p = 4 + -2. Let v(m) = 0*m - m**p - 3*m + 3*m + 2 + m. Determine v(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14.2 - -14. Which is the closest to -3? (a) 0 (b) t (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + 12*f**2 - 13*f + 25. Let y be t(11). Let m be 2\/4*(3 + 1). Suppose -5*u - y*o = 4 + 12, -m*u - 7 = o. Are u and -6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 4:23 PM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 3. Suppose 2*h - j = 2. Let t(r) = -r + 4. What is the units digit of t(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*q**3 - 8 + 20 + 108*q**3 - 54*q**3 to p*q**3 + b*q**2 + x + s*q and give p.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 162, 226, 278, 312, 322, 302, 246?\n\"Answer: -w**3 + 71*w + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10 - 13) + (3 - 0). Let a(v) = 2*v**2 + 24*v + 25. Let h be a(-11). Suppose 4*g = -g + 15. Solve h*o = -2*s + 7 + 8, g*s + 3*o - 18 = w for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2 = 4. List the prime factors of u + 1\/((-1)\/(-24)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -3*i**2 + 2*i + 13. Let u be f(-3). Find the common denominator of (-190)\/(-4)*(-1)\/6 and (3\/2)\/(1 - u\/(-14)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*y + 131*y + 324 = 60*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3993) + -3*sqrt(3993)*5 - 4*-2*sqrt(3993))\/(sqrt(22)\/(2*sqrt(200)) + 5*sqrt(77)\/(sqrt(28) + sqrt(7))).\nAnswer: -3960*sqrt(3)\/103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 280 and 6776.\nAnswer: 33880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.31 + 1.17. Let f = 5.84 + o. Let s = -0.3 - 0.2. Which is the third smallest value? (a) f (b) s (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 0*a + 3*a)*(13 - 18 + 10).\nAnswer: 20*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**4 - 130*s**3 + 1062*s**2 - 3078*s + 3024.\nAnswer: 2*(s - 56)*(s - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 + s**2 + 3*s**2)*(s - 2*s + 3*s) + (3*s + 0*s - s)*(s + s**2 - s).\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3629654 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 6, -212006 = -4*b + 5*c - 2*c. What is b rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9834440\/843 - -11666. Is y smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2774 - 163672\/59. Let g = -129703\/203845 + 93\/691. Let y = h - g. Is y smaller than -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-523 - -501)\/((-8)\/((-96)\/(-38))). Suppose 34\/19*d**2 - 16\/19 + i*d = 0. What is d?\nAnswer: -4, 2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 129 + -124. Solve -3*l + 5*l - 8 = t, 4*l - 28 = n*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28294670 is divided by 14147332.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 144 - 107. What is the highest common factor of h and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -63*h**4*j + 1780*h**3*j**2 + 45*h*j**2 - 18*h*j - 5*j**2 - 6 wrt h?\nAnswer: -756*h**2*j + 10680*h*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 7 - 67 = 0. Is 15 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 907571 and 28630.\nAnswer: 2863","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 2 - (2 + 0 + 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -84.7, 2, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - 77*m + 1446. What is the lowest common multiple of q(32) and 3936?\nAnswer: 3936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 310277*z**4 - 217879*z wrt z.\nAnswer: 3723324*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1322, -1319, -1316, -1313, -1310?\nAnswer: -1307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-30)*-9)\/(8\/(-40))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-3))\/(16\/6)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 287 (base 13) to base 5.\nAnswer: 3244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84 + 82 + 8 + 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5669 = -6*b - 5735 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.12 (b) -0.2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 149 = -d + 2*d, 4*d = 3*h - 155. Let l = h - 23. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2540309 + -29?\nAnswer: -2540338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -2. Suppose -3*v = -s - 2*s + 30, -t*s + 2*v + 25 = 0. What is the closest to -1 in -3, s, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of 124*b**6\/3 - 4*b**3\/3 + 10*b - 58. Find the third derivative of a(n) wrt n.\nAnswer: 14880*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(425) - (-3 + (sqrt(425) - (sqrt(425)*-1)**2) + sqrt(425)) - (2 + sqrt(425)*-1)).\nAnswer: -2130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1196)\/(-575) + -17 + (-1 - -16)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**3 - 8 + k**3 + 68.\nAnswer: -k**3 + 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1010 (base 2) to base 16\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 34\/(-34) + 3 + 868\/(-427)\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20.41 + 20.81. Let h be (-64)\/(-11) + 4\/22. Let n be 9\/(-10) - h\/(-15). What is the nearest to -1\/5 in i, 2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1500 divided by 5\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 - 13) + 23 + -10. Solve -2*k + 5 = -a, a = -b*k + 8 + 11 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*t + 7*t - 161709 + 161711 as a + i*t and give i.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -80*s + 59*s - 47*s - 1 to t + a*s and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -250*j**3 + j**2 + 259*j**3 + 35*j - 30*j + 15 to the form x + p*j**2 + k*j**3 + a*j and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*s + s. Suppose -s*h + 2 = -4*h. Let f(m) = -m**2 - 6*m + 1. Let k be f(-6). Which is smaller: h or k?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*w + 16 - 38 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4928 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*u**2 + 2*u**3 + 2*u + 3 + 2 - 6 + 1 - 1 + u**3 + (-2*u**2 + 5*u**2 - 2*u**2)*(-2 + u + 2) + 3*u - 3*u + u**3 + 0*u**3 - 2*u**3 + 4*u**3.\nAnswer: 7*u**3 + 12*u**2 + 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (((-33120)\/168)\/(-46))\/(10\/28)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3441 or 3426?\nAnswer: 3426","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - 10310?\nAnswer: -10301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**2 + 3*p + 1. Let l be w(-2). Let a be 77\/14 + 2\/(-4). Solve 3 - 5 = -a*q + 4*i, -5*i - 21 = l*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70 divided by -35\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37214, -37243, -37272, -37301, -37330, -37359?\nAnswer: -37388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -220 (base 3) to base 13\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 9*k**2 + 11*k + 14. Let u be g(-10). Find the third derivative of 4*f**2 - 3*f**4 - 2*f**u - 5*f**4 wrt f.\nAnswer: -240*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**4 - 34*i**2 + 3*i - 5*i + 3*i + 7*i**3 + 31*i**2 in the form w*i**3 + k*i**2 + r*i + g + t*i**4 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-36)\/8 + 8 + 1\/(4 + -2). Solve -626 = u*q - 646 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k - 2. Suppose 382 = 8*j + 1246. Let z = 112 + j. Suppose -6*f = -3*f + s + z, -3*s = 3*f. Give g(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 PM and 5:16 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-4)*(-8)\/75*40*49\/(-4704)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 2\/3 + 1\/3*x - 1\/3*x**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 243\/(-135)*(-18955)\/3 - 7?\nAnswer: 2, 5683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(7 - 8 - (-2)\/(-4)). Which is the nearest to -0.06? (a) 4 (b) g (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -44, -81, -138, -221, -336, -489, -686?\nAnswer: -933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1145*q**2 - q - 1158*q**2 - 2*q wrt q.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -281 in ascending order.\nAnswer: -281, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(2 - (-32)\/(-14)). Let v(t) be the third derivative of -t**6\/120 + 7*t**5\/60 + t**4\/24 - 7*t**3\/6 - t**2. Let d be v(g). Which is bigger: d or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 879, 6814, 22825, 53916, 105091?\n\"Answer: 834*w**3 + 34*w**2 - 5*w + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -811, -1620, -2429, -3238, -4047?\n\"Answer: -809*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 + 1)*(2*x - 4*x + x - 1 + 1 - x + (-4*x - 6 + 6)*(-2 - 4 + 5)).\nAnswer: -10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/6*(-24)\/(-112))\/(-1)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -0.1 (b) -23 (c) 3 (d) 16409\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 1071779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 43 + 62*m + 14 - 68.\nAnswer: 62*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37417\/7 - 5345. Which is smaller: -1\/793 or g?\nAnswer: -1\/793","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(300) - (-1*sqrt(300))**2 - -2*sqrt(3)*-4.\nAnswer: -300 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1*sqrt(10) + sqrt(10))\/sqrt(2) + -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/8 - (-63)\/60. Let q = 2.058 - 2.4. Let y = -0.142 - q. Which is the biggest value? (a) -1 (b) -5 (c) y (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - 11*c**2 - c + 2. What are the prime factors of p(12)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n + 19. What is f(-2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*b + 212*b - 4424204 = -99*b. Round b to the nearest one hundred.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1389211?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 - 475*r. Let j(b) = -2*b. Give j(d(l)).\nAnswer: 2*l**2 + 950*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 650 + -652. Let v be (m\/(-3))\/((-29)\/((-58)\/12)). What is the biggest value in v, 2\/5, -8, -1\/3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of 2*d**3\/3 - d**2\/2 + d. Let m(r) = -r. Let p(j) = -j - 4. Let v be p(0). Let x = -2 + v. Give x*m(u) - t(u).\nAnswer: 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/2*(-1 + 1). Suppose w*t - 7 = t - 3*s, 0 = 4*t - s + 6. Let i be (-7)\/21*(2 - t). Sort -3, 4, i.\nAnswer: -3, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-3\/7)*b)\/b**(1\/17))\/(b\/(b**(-1\/5)\/b))**29 assuming b is positive.\nAnswer: b**(-37656\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 245, 952, 2075, 3614?\n\"Answer: 208*b**2 + 83*b - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14 + -2 + 0 - (-48)\/48. What is the smallest value in w, -4, -2\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2133713789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.17 - 11.67. Let t = w - -10. Let k = t - -1. Which is the second biggest value? (a) 4 (b) -5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 45*f**2 - 13*f + 79. Let g(q) = 248*q**2 - 65*q + 394. Let u(a) = -11*d(a) + 2*g(a). Give u(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.3 (b) 2\/13 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -87653 and 167 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**2 + 0*t**2 + 2*t**2 + (t + t + 0*t)*(2*t + 4*t + 5*t) + 11 - 2*t - 11 - 16*t**2.\nAnswer: 7*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/(-14))\/(-19 + (-22933)\/(-1216)). Which is smaller: 3 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - j**2 - 3*j + 1. Suppose 2*p + 9 = 3. What is the tens digit of d(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 617.\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + ((sqrt(1900)*-2 + sqrt(1900))*5 - sqrt(1900)))*4)**2 + ((5*sqrt(1900)*-1 - sqrt(1900)) + 3*(sqrt(1900) + 2)**2)*6.\nAnswer: -7320*sqrt(19) + 1128928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -0*r + 2*u - 274, 2*r = -5*u + 190. What is the remainder when 265 is divided by r?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x**(-2\/13)*x))*(x*x\/((x\/((x*x\/(x\/(x\/(x**(-14)*x))*x))\/x))\/x))\/x)\/((x**(2\/15)\/x)\/x*x\/((x**(-17)*x)\/x)) assuming x is positive.\nAnswer: x**(-251\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -2*i**4 + 28*i**3 - 98*i**2 = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 209274167 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sususssss. Give prob of sequence sss.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 51 - 30. Let p = q + -8. Suppose 0 = -2*j + p + 15. Calculate the smallest common multiple of 12 and j.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(1872) + 4)**2 + 4 + (3*(sqrt(1872) + -1) - (sqrt(1872)*-2 + 2))**2.\nAnswer: -456*sqrt(13) + 48737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*h**4*t + 318*h**2*t**2 - 2*h*t + 201*t**2 + 22 wrt h?\nAnswer: -192*h**2*t + 636*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*1*sqrt(204))\/((sqrt(108)*2 - sqrt(108)) + sqrt(108)).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.15 - 0.25. Let q = -3.5 - -3. What is the smallest value in q, -1, b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1635 and 615305.\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (15 - 0 - -2) + -1648 + 1674\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1842516 is divided by 14173?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2818715812?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -ab24 (base 12) to base 4\nAnswer: -10213030","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Expand r - r - 5*r**2 + (2*r + r + 2*r)*(-r - r + 0*r).\nAnswer: -15*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(162)*-1 + sqrt(162) + -3 - ((sqrt(162) - (2*sqrt(162) + -1)) + (sqrt(162) - -2*sqrt(162)*-1)))**2.\nAnswer: 144*sqrt(2) + 664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 - 12*h - 12. Let q be (-6)\/2*(-99)\/(-27). Let s be w(q). Calculate the remainder when (s - -10)*(-35)\/(-15) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -19528 and -54.815.\nAnswer: -19582.815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**3 + 2*o + 3. Let h = -22 + 53. Suppose 3*p + h = -2*i, 2*p + 7 = p - 4*i. Let f = -13 - p. What is s(f)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -4*n. Let c(o) = 136*o**2. What is c(s(h))?\nAnswer: 2176*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {v: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 305 and 5812615885.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -996, -3738, -8334, -14802, -23160, -33426?\n\"Answer: -3*i**3 - 909*i**2 + 6*i - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 2*m - 3*m)*(-m + 2*m - 5*m).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 262*v = 264*v + 2*f + 20, 11*v + 3*f + 54 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - r - r)*(-3 - r + 3)*(-r**2 - r**2 + 0*r**2 + (0*r + r + r)*(5*r - 4*r + r)) - 14*r**4 - r**4 + 8*r**4.\nAnswer: -3*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -77603 + 418?\nAnswer: -77196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j. Let f(t) be the third derivative of t**5\/12 - 111*t**4\/4 + 6372*t**2. Give p(f(d)).\nAnswer: 10*d**2 - 1332*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-20)*((-1751)\/85 + 9\/15)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29 - -7) + (6 + (13 - 1) - 6).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 17 = -4*w - 5*p, -4*p = -4. Solve 4*j - 3*k + 4 = 0, 2*k + 12 + w = -4*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 7529 = -935. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -112 + -1315?\nAnswer: -1431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 82\/5 and -554 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 48\/5 of a milligram?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - r**2 + 7*r + 1. Let t = -7 - -2. Let i be c(t). Suppose -3*s + i = -0*s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.1 + -15.1. Let s = q - -19.4. Let g = -7 + s. What is the third biggest value in g, 0, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3028*l**6 + 2*l**2 + 2*l + 416.\nAnswer: 363360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1008485128 to the nearest integer?\nAnswer: 31757","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*f*w**2 + 61*f*w*x**2 - 2*f*x**2 - 113*f + 29*w**2 - 19*x - 2 with respect to w.\nAnswer: -6*f*w + 61*f*x**2 + 58*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**5\/9 + 105754*d**4\/9 - 1057334*d**3\/9 - 317482*d**2\/9 + 14802368*d\/9 + 20723864\/9 = 0. What is d?\nAnswer: -2, 7, 52867","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + s - 1. Let o(v) be the second derivative of 4*v**4\/3 - 7*v**3\/3 + 7*v**2 + 27*v. Give -3*o(j) - 42*t(j).\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -3*v - 13. Let g be c(-6). Factor -9*p**5 + 8*p**3 - 12*p**2 - 8*p - p**3 + 12*p**4 + 13*p**g - 3*p**3.\nAnswer: 4*p*(p - 1)*(p + 1)**2*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -597.25 - -593.25. Let r = -26\/15 - -7\/3. Which is the third smallest value? (a) r (b) p (c) -0.3 (d) 2\/55\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 128, 283, 488, 737, 1024?\nAnswer: 1343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25*245\/175*6\/21?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 0*w + 4*w - 9*w. Let m(x) = -2*x. Calculate s(m(a)).\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -355 divided by -5.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**4\/7 - 8*g**3\/7 + 10*g**2\/7 - 4*g\/7 = 0. Calculate g.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is four sevenths of a week in hours?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**3 + 32394*s**2 + 711550*s - 2426250 = 0.\nAnswer: -16175, -25, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 102644658?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37010196?\nAnswer: 2, 3, 114229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4408045?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2901273 by 2901273.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 + 48 + g**2 - 48 - 2*g - 7*g**2. What is j(2)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -340\/3 + 112. Let j = -157 + 156.448. Let y = -0.152 - j. What is the second biggest value in o, 5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**2 - 272*q**3 - 14753157*q + 14753157*q.\nAnswer: -272*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t - 76*t + t - 15 + 15.\nAnswer: -79*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 58 in -1, 10, -4\/13, -5, -0.4, 0.2?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 + 5*o + 3. Let x(b) = -b**3 - b**2 + b - 5. Let v be x(0). Let w be f(v). Find the first derivative of 2 - 11*y**w + 14*y**3 - 6 wrt y.\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 12 = -9*s. Solve -z + s*w = 7, -z = -5*z + w - 6 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*y**3 - 3*y**3 + 0*y**3 + (4*y**2 + y**2 - 3*y**2)*(1 - 1 + 2*y) + 0*y**2 + y**2 + y**2 - 2*y**3.\nAnswer: 3*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114880412.\nAnswer: 2, 37, 776219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 0 = -4*b. Suppose b*p - 15 + 3 = 0. Suppose -p*f - 3 = -4*g + 5, 0 = -g + 3*f + 2. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 3*r - 13. Let t = 823 - 816. Determine f(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38 + -34. What is the closest to 1 in j, 7, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t\/(t*((t*t*t\/(t*t**(5\/13)\/t))\/t)\/t)))\/t)\/(t*t**(-5\/8)\/t*t*t)*(t\/t**29)\/(t*(t\/(t\/t**(-21)))\/t))**(1\/4) assuming t is positive.\nAnswer: t**(-807\/416)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 11 + -4 + -11 + 2 + -20?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/10 of a gram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 160\/600*(3\/6)\/(-1)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -267185, 18, -1.\nAnswer: -267185, -1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-10))\/((-7)\/(315\/18))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13512534 divided by 861.\nAnswer: -15694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n**2 + n**2 - 5*n**2)*(-2 + 0 + 13)*(-95 + 17*n + 95) to the form s*n**3 + m*n + w*n**2 + d and give s.\nAnswer: -561","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 227*r + 4*y - 1239, -4*y + 99 = -40*r + 17*r + 22*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -379.55699988675 - -6.\nAnswer: -373.55699988675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s**2 - s**2 - 3*s**2 + 7*s**2 - 3*s**2 + 0*s**2 + (3 + 2*s - 3)*(5*s - 2*s - 4*s) + 10*s - 15*s**2 - 10*s.\nAnswer: -14*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007950449 rounded to 6 decimal places?\nAnswer: 0.00795","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sbmqmsvmvsmnvqmmmv. What is prob of sequence vsqb?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -n**5\/120 - n**3\/6 - 18*n**2 + 46*n. Let t(p) be the second derivative of u(p). Let s(v) = 60*v. Determine t(s(o)).\nAnswer: -60*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.05*16.19\nAnswer: 0.8095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/13 + ((-794)\/118703)\/(4\/242).\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 9 = -1. What is the lowest common multiple of (6 + 120\/(-14))\/(9\/(-42)) and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**3 + 0*b + 0*b)*(-39 + 240*b - 1461*b + 39)*(50 - 12*b - 50).\nAnswer: 14652*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of -157*b**4\/12 - b**2 - 1235*b. Let p(a) = 6*a. What is p(s(j))?\nAnswer: -942*j**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12561439 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -9228, -18455, -27684, -36915, -46148, -55383?\n\"Answer: -r**2 - 9224*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11.2 - 43.6. Let h = b - -55. Which is smaller: -10 or h?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d4 (base 14) in base 12?\nAnswer: -27a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + 17*k - 2. Let a(z) = -5*z**2 + 84*z - 11. Determine 2*a(h) - 11*g(h).\nAnswer: h**2 - 19*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 3 = 9. Let u(h) = 3*h - 4. Let x(r) = 2*r - 3. Let k(p) = v*u(p) + 4*x(p). Let b(j) be the first derivative of -j**2\/2 - 1. Calculate k(b(m)).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -111616212 (base 7) in base 2?\nAnswer: -11001111110111100001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -1 + 4*j**2 + j**2 + 2 - 4*j**2. Let w = 71 - 65. Let y(h) = 5*h**2 + 6. Calculate w*n(l) - y(l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + (1 + 1 - 0). Let n(r) = r**2 + 16*r + 30. Let p be n(-14). Let s(d) = -u*d**p - 6*d**2 + 3*d**2 + 4*d**2. Let b(t) = -10*t**2. Determine b(s(y)).\nAnswer: -40*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/56 - (137\/7 + -20)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33823547 to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 + 37. Solve 0 = 4*j - 0*p + 3*p - 9, -3*p = -j - f for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -1102021?\nAnswer: 1102012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14592301793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 376858?\nAnswer: 2, 61, 3089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 6 - 23 = 5*d, 13 = 3*y - d. Suppose 2*s + y*p = 23, -4*s = 4*p - 24 - 12. Suppose -s*h = -v - 480, -6*h - 5*v + 337 = -3*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 397, 396, 395?\nAnswer: 394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/7 or 41?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 46\/3 - 2\/6. Let a = 25 - l. Does 5 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26915 is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 6*p**2 - 5*p + 7. Suppose 5*a + 2*m + 11 = -8, 2*m = -3*a - 9. What is w(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.49432 + 0.49. Round h to four dps.\nAnswer: -0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*t**2 + 5*t**3 + 0*t**2 - 1 - 10*t**2 to u*t + h*t**2 + m*t**3 + d and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 183532176 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -2, -6*c + c + 2*n + 21 = 0. Solve -c*f - 29 = -4 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a milligram in micrograms?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 - 12*a + 36. Let d be j(8). Suppose n = 3*n - d*r - 708, 4*n = -3*r + 1372. What are the prime factors of n?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, d: 3, n: 2, c: 1, a: 4}. Give prob of sequence dda.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1721*v**2 + 39*v - 1729*v**2 - 37*v - 1498.\nAnswer: -8*v**2 + 2*v - 1498","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -6*r + 32. Let c be h(6). Let x(d) = -3*d + 8. Let v be x(c). Solve -1 + v*y + 5 - 5*y + 3*y + 14*y**2 = 0.\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.09 + -6.19. Let x = z - -6. What is the second biggest value in x, 2\/3, 3\/2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 + -14 + 7 + -3. Let w be (-2 - h)*(0 + 1). Solve -w*p + 3*j + 2 = 0, 5*p + j = -4*j + 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111 = -7*d + 69 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*r + 316 + 2591. Let n = 327 + r. Calculate the highest common divisor of n and 58.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 16*z - 2. Calculate g(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2820, -5663, -8520, -11397, -14300?\n\"Answer: -w**3 - w**2 - 2833*w + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2074901033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 2*f - 2*f**2)*(2 - 5 + 0) - f**2 + 0*f**2 + 3*f**2 + 3*f**2 + 2*f**2 - 7*f**2 - 5*f**2 - 6*f + 3*f + 4*f.\nAnswer: f**2 + f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1205, 2542, 3879, 5216, 6553?\nAnswer: 7890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5180176681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 92 = i - 4*x, -5*x + 137 = i. Let r be ((504\/(-15))\/6)\/((-14)\/280). Let g(m) = r - i + 31*m. Let q(l) = -l. Determine g(q(z)).\nAnswer: -31*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2696756946*t**2 + 2696756946*t**2 - 10*t**3.\nAnswer: -10*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -134535462?\nAnswer: 134535465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 68 + -47 + -21 + (-13 - 2) + 28.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -4*q**4\/7 - 80*q**3\/7 - 72*q**2\/7 + 80*q\/7 + 76\/7 = 0.\nAnswer: -19, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -5, 0.2, 21\/43, 7?\nAnswer: 21\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hdqv when four letters picked without replacement from dhvhgvhqgh?\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1575, -1597, -1619, -1641, -1663, -1685?\n\"Answer: -22*m - 1553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-13 + 13 + p)*(0 - 3 + 1) + 3 - p + 0*p + 5)*(-8 - 27 - 90).\nAnswer: 375*p - 1000","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y. Let f(u) = -152*u + 2. Give l(f(p)).\nAnswer: 304*p - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 451159 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 1868*u - 7445. Let k be p(4). Suppose -k*g + 6*g**3 - 45\/2*g**2 + 0 + 3\/2*g**4 = 0. What is g?\nAnswer: -6, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i - 6. Let j(h) = -h. Let n(r) = -d(r) + 3*j(r). Let u be n(0). Calculate the greatest common factor of u and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -416, -414, -412, -410, -408?\nAnswer: -406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 3)*(-1 + d**2 + 2*d - 2*d) + 5*d**2 - 3*d**2 + 3*d**2.\nAnswer: 7*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((82\/(-3))\/(-2))\/(-94*61\/34404)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 421*i - 408*i - 52 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 284 - -180. Let v = 475 - x. Calculate the greatest common factor of v and 737.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o - 32. Let t be b(0). Calculate the common denominator of 3\/16 and ((-4)\/t)\/(9\/(-172)).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10 and -0.2516281.\nAnswer: -2.516281","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4405 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.2 - 3. Let a be (-14)\/147*(-1 - 2). What is the third biggest value in -4, j, a?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1523416 rounded to 1 decimal place?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/27)*q\/(q**(5\/4)*q))**(1\/6) assuming q is positive.\nAnswer: q**(-143\/648)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -160672 divided by 4?\nAnswer: -40168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9546?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16 + -161?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -272 = -10*b - 42. Solve -10*g - 33 = b*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**4*u*((u**(-2\/3)\/u)\/u)\/u)**(-2\/15))**(-2) assuming u is positive.\nAnswer: u**(-68\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 142*g**3 + 2*g**2 - 4*g - 6. Give a(-2).\nAnswer: -1126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12391\/3 - -4131. What is the fourth smallest value in 2, u, 25, -2\/11?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l**0\/l))*l)\/l*l**(-1\/6))**(-5\/12)*((l*l*l*l\/((l*l**2)\/l))\/(l\/(l\/(l**(-2)*l)*l*l)))\/(l**(1\/6)*l**(-8)) assuming l is positive.\nAnswer: l**(959\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -595.\nAnswer: -2\/595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*u**5 + 10801986*u**4 + 23921*u**2 - 3321*u wrt u?\nAnswer: -360*u**2 + 259247664*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (-9 - -23 - 19) + 3 - (0 + 25)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3215799?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3182*q + 1588*q + 1566*q = 1344 for q.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 - 5)*(2 + 0 - 4*c + 0) + 1 + 1 + 0 - c + 6*c - 3*c - c + (-c + 2*c - 3*c)*(-4 + 2 + 4).\nAnswer: -11*c + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -59 + 81. Let t(a) = -s - 18 - 5*a + 9. Let p(f) = -f. What is p(t(q))?\nAnswer: 5*q + 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3 - 0.34. Let y = 382442.3 + -382442. Let t be (-9)\/(-7) + (1 - 2). Put s, -2\/11, y, t in descending order.\nAnswer: y, t, s, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 5, -5, -4, 160.\nAnswer: -5, -4, -2, 1, 5, 160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -910, -4, -5, -47 in decreasing order.\nAnswer: -4, -5, -47, -910","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3000)*-1)\/(-1*sqrt(490) - sqrt(10) - sqrt(10)))**2.\nAnswer: 100\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56 divided by 5.\nAnswer: -56\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28 - -49. Let q = s + -14. Suppose -q*g + 8*g - 3 = 0. Solve -p - g*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/54 and -67\/437967.\nAnswer: 875934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-54)\/(-48)*4\/(-3)*-20. Let k be 1 + (-21)\/f + 5\/25. What is the third smallest value in -1\/4, 5, k?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -3*r - 15, 0*r - 13 = r + 3*p for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*m + 66 = 12*m - 2*y, -4*y - 92 = 4*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h**4 - 374629*h**3 - 3*h - 5523990 wrt h.\nAnswer: 4*h**3 - 1123887*h**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/6)\/(2\/(-15)). Let g be (5\/(-34))\/(j\/10). Let r = g + -32\/51. Which is the closest to 2\/3? (a) r (b) -0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*c - 557 - 38 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23242401979 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*u - 2*v, -16 = -4*u + 4*v - 0*v. Suppose 0 = -y - 5*q + 4, 6*q - 4*q = u. Suppose i = -i + y. Solve 3*l + i - 8 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-123 + 123 + 22*l)*(1 - 1 + 5)*(-3*l + l + 4*l + (3 + 1 - 6)*(3*l + l - 9*l)) + (-1 + 1 + l)*(0*l + 5*l - 2*l).\nAnswer: 1323*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**2 - w + 1. Let o(v) = v**2. Let z(x) = -c(x) + 3*o(x). Let f(p) = 12*p - 12. Let q(k) = f(k) - 12*z(k). Let j(s) = 2*s**2. Give q(j(l)).\nAnswer: -48*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/3707363 (b) -2.6 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 5) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 546 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 8*f**2 - 8*f - 21. Calculate the common denominator of (-4)\/22 - 8\/4686*207 and r(-8).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1679 or 1869?\nAnswer: 1869","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -13.4. Let b = -20861 - -20853. Put q, b, 0 in decreasing order.\nAnswer: q, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -107*l**3*o**6 + 67*l**3 - 12*l*o**2 + 103*o**5 + o**2 wrt o?\nAnswer: -12840*l**3*o**3 + 6180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47\/4 - 131\/12. Let q = 2.68 + -0.82. Let x = -1.36 + q. What is the second biggest value in r, x, -0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -3*d + 1. Let i(b) = 16*b - 5. Let f(g) = 2*i(g) + 11*t(g). What is f(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.5, -24 in decreasing order.\nAnswer: 0.5, -1, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 2*n**3\/13 + 410*n**2\/13 + 21614*n\/13 + 61206\/13 = 0.\nAnswer: -101, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 189*g - 4. Let q(s) = -360*s + 6. Give -10*p(a) - 6*q(a).\nAnswer: 270*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -0*n - 3*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1990 - 925. What is the hundreds digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(200) + sqrt(200) + -3 + sqrt(200)*2.\nAnswer: -3 + 40*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000888 rounded to four dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 8*d + 70196 = 0. Let t = -45451 + d. Round t to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 460 + -721?\nAnswer: -2c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d + s = d - 56, -1141*d + 1146*d - 4*s - 157 = 68 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-5394.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -7\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000149869 rounded to 7 dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -73 + 72.8. Which is the nearest to 0? (a) q (b) 2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 263768312 to the nearest integer?\nAnswer: 641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 77 - 65. Suppose -7*q = -13*q - s. Let p = 0.2 + -0.1. Which is the closest to p? (a) -5 (b) 4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 860205, 860215, 860225, 860235, 860245, 860255?\nAnswer: 860265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(1 + sqrt(325)) + sqrt(325))*-6)**2*-2.\nAnswer: -586152 - 14400*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 803889488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*((-48)\/20)\/(-6)*-12*255\/13464.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5591.487 + -5587. Let m = u - 0.487. What is the smallest value in 2.4, 3, m?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 675*r + 547*r + 4796*r + 641*r to the form z*r + x and give z.\nAnswer: 6659","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 539\/92275?\nAnswer: 539\/92275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 137*w - 4. Let n(f) = -239*f + 7. Let r(g) = -4*n(g) - 7*y(g). Let q(t) = -t + 629. What is q(r(b))?\nAnswer: 3*b + 629","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1874964 divided by -2652?\nAnswer: -707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3424126 (base 7) to base 5\nAnswer: -102121133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8\/9? (a) -0.1 (b) -0.5 (c) 2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 4*g**2 - 6*g + 19. Let b(z) = -19*z + 8 + 36*z - 19*z + z**2 - 2. Calculate 7*b(i) - 2*y(i).\nAnswer: -i**2 - 2*i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152*v - 707*v + 47*v - 1074*v.\nAnswer: -1886*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7350865693 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-1\/8)*o**(-1\/2)*o**(5\/2)\/((o\/(o*o**(-2\/5)))\/o) assuming o is positive.\nAnswer: o**(99\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 9.528162 tonnes?\nAnswer: 9528.162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4070928 to the power of 1\/4, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -218 - -302. Let r be ((-7)\/(w\/(-8)))\/(8\/24). Solve d + 2*s - 8 = 0, r*s + s - 2 = d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32320 divided by 16160?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(34) + 1*sqrt(34))\/sqrt(2).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -28*(170\/35 - 4). Calculate the smallest common multiple of (g\/42)\/(6\/(-84)) and 168.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + 8*v**2 + 4. Let j be q(-8). Suppose 0*i - j*o + 90 = 5*i, -4*i + 51 = -o. Solve z + 2*y = -0*y - i, 4*z + y = -21 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -29*z + 24*z + 23, 5*z = 15. Solve 2 = -w*i - 10 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 4*i**4 - 15*i**3 + 12*i**2 + 4*i = 0?\nAnswer: -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 14)*(-y**2 + y**2 + 2*y**3).\nAnswer: -24*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8586488 decades to months.\nAnswer: 103.037856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -4*k + 46. Let m be i(11). Suppose 24 - 58 = -m*p. Suppose 2*g + u = 50, 77 = 4*g - u - p. Does 17 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4*w = -1, q = 3*q - 4*w - 2. What is the third derivative of -o**2 - 11*o**3 + 11 - 35 - 43*o**q + 4*o**3 wrt o?\nAnswer: -300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 30 + -20. Suppose 2*o - 2*j = b, -7 = -2*o - 0*j + j. What is the third smallest value in -3\/4, 0.5, -3, o?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m - 3*m - 39 + 39. Let d(a) be the third derivative of -a**5\/30 + a**2. Determine k(d(f)).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -15*g + 13. Let j(m) = -7*m + 6. Give 5*j(a) - 2*x(a).\nAnswer: -5*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -1104\nAnswer: 5\/1104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 28*k**4 - 15*k**2 + 2*k - 2. Let h(z) = -57*z**4 + 31*z**2 - 5*z + 5. Let l(q) = 2*h(q) + 5*j(q). Find the third derivative of l(t) wrt t.\nAnswer: 624*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -235608 divided by 6\nAnswer: -39268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1839.1 - 1839. What is the fourth biggest value in 4\/5, 6, n, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1))**43\/(h*h**(-1\/12)*h*h*h\/(h**(-12)\/h)) assuming h is positive.\nAnswer: h**(-719\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, z: 1, l: 3, y: 3}. What is prob of picking 2 j and 1 y?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 2 = -17. Suppose -2*a = -4*v - 1030 - 2342, 3337 = 2*a + j*v. Let k = -10093\/6 + a. What is the common denominator of -10 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4203862.\nAnswer: 2, 13, 17, 9511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44 - 179\/4. Which is greater: 4 or t?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*(4 + -2) - -12. Let t(o) = 7*o + 1. Let k be t(7). Calculate the greatest common factor of k and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23783 + 23783.0026086. Round s to five dps.\nAnswer: 0.00261","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(44)*-1 - sqrt(44)))\/sqrt(4)*2)**2 + (1*(sqrt(132)*-2 - sqrt(132) - sqrt(132)) - sqrt(132))\/(sqrt(72)\/sqrt(96) + sqrt(12)).\nAnswer: -4*sqrt(11) + 4400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w**5 + 15*w**4 + 15*w**3 - 15*w**2 - 18*w = 0. What is w?\nAnswer: -3, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 1\/3, 3, 0.3, -116, -30\/11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -4*o**3 - 10*o**2 + 3*o + 8. Let z be a(-5). Let c = -212 + z. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 13) to base 16\nAnswer: -1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 338*h - 86040 = -67788 for h.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/20 and -103\/30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 322297 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -63*y**3 - 24*y**2 + 205*y + 927513.\nAnswer: -189*y**2 - 48*y + 205","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 a when two letters picked without replacement from gygpgaygapbatpapaa?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6839, 13668, 20511, 27374, 34263, 41184, 48143, 55146?\n\"Answer: i**3 + i**2 + 6819*i + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 153560 rounded to the nearest 10000?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -30*o + 186. What is n(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/48 and -55\/252?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = 9*b + 26. Suppose b*g - 9156 - 20029 = 0. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*-27)\/3*(-62218)\/(-28716)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 831181034?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1073536.\nAnswer: 2, 8387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (58\/116)\/((-22)\/4)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*f + 7*f - f)*(-39 + 8 - f**3 - f**3) - 3*f**2 + 3*f**2 - f**4.\nAnswer: -27*f**4 - 403*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - 26*n**2 + 3. Let f be -5 + 4\/6*(-1488)\/(-32). Give z(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 - 81 + 20)*(-37*k**3 + 681 - 681 - 205*k**3).\nAnswer: 19844*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5469034 centimeters in kilometers?\nAnswer: 0.000005469034","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*g = 64*g + 66. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31231032 (base 4) to base 13\nAnswer: 1c728","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 4*n**2 - 9*n - 92. Determine i(-5).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(832) + (sqrt(832) - -2*sqrt(832)) + sqrt(832))\/(6*sqrt(6)\/sqrt(3) + sqrt(2)))\/(sqrt(200)*2*2*-5).\nAnswer: -sqrt(13)\/70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 468 and 8262250.\nAnswer: 8262718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t - 1 - t + 0*t - t**3 to k + j*t + c*t**2 + h*t**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22213970 by 4442794.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 144.8947l in millilitres?\nAnswer: 144894.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + r = 0, -3*f + 4 = 3*r - 26. Let d(c) be the third derivative of 1\/9*c**4 - 1\/9*c**3 - 1\/30*c**f + 0*c + 2*c**2 + 0. Factor d(b).\nAnswer: -2*(b - 1)*(3*b - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1179658958?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4927669880\/7257 + -679023. What is the common denominator of o and -47\/21?\nAnswer: 50799","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6186 + -6247 + (6 - (-2 + 1 + (0 - 1))).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24175 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0027359 rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (13\/(-22))\/((-27)\/(-168)). Let o = v + 38\/9. Let q = 0 - -1. Which is smaller: q or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 129 + -125. Let j(y) be the third derivative of -y**4\/24 + 4*y**3\/3 + y**2. Let f be j(a). Solve 0 = f*h - 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.3 and -16418.\nAnswer: -16417.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 394 a factor of 842994914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 9) to base 11\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3300)\/(-3500) + 31\/(-217)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 881 and 2135.5.\nAnswer: 1881375.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149 is divided by 67.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 87*t + 43. Let g be p(-6). Let u = -244 - g. List the prime factors of u.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 32*s + 3. Let r(u) = -31*u - 2. Let w(k) = 6*k**3 + 244*k**2 - 85*k - 121. Let q be w(-41). What is q*o(m) + 3*r(m)?\nAnswer: -29*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -407060*k**4 + 184746*k.\nAnswer: -4884720*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1026 - 152237?\nAnswer: -153265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -5*m**3 - 3*m**2 - 3*m. Suppose -3*z + 3*f = -0*f - 15, 4 = -2*f. Let g(u) = u**3 + u**2 + u + 1. Give z*g(k) + i(k).\nAnswer: -2*k**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 13\/58964 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of 25*l**4 - 2264*l**3 - 3722*l**2 - 552*l - 5374. Let a(m) = 0. Calculate m.\nAnswer: -1, -2\/25, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -10*h**5 - 104*h**4 + 4840*h**3 - 29728*h**2 + 44928*h + 23040 = 0.\nAnswer: -30, -2\/5, 4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 44980636 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 15 (c) 1 (d) 1\/957 (e) 154\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 550*p + 50. Let t be g(4). Suppose 22*a = -3*a + t. What is the lowest common multiple of a and 22?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 30 = -3*k, -4*k = 4*c - c - 23. Suppose 5*j = 17*v - 10*v + 4815, 2*v = j - 963. Calculate the highest common factor of c and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2 - 5*y + 3 + 0*y + 1 + 1. Let b(m) be the second derivative of -m**3\/3 + 3*m**2\/2 + m. Give -7*b(z) + 3*x(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2676 and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**3\/8 + 1071*h**2\/8 - 1069*h\/4 = 0. Calculate h.\nAnswer: 0, 2, 1069","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 15334550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 0 + sqrt(1008))**2.\nAnswer: -120*sqrt(7) + 1033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d. Let n(f) = 4*f**2 - 10*f. Calculate -20*l(s) + 2*n(s).\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -3\/4 (c) 554 (d) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 35*p + 147. What is the smallest common multiple of 16 and o(-3)?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 2) + (-42)\/(-12).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -79 + 0*n - 1\/2*n**2. Let v(g) = 252*g. Determine v(t(x)).\nAnswer: -252*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 0*k - 9 = 0. Let r(q) = 3*q**3 - 2*q**2 - 3*q + 5. Let w be r(k). Suppose -58 = -3*j + w. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*q - 42 = 66*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 660826.\nAnswer: 2, 330413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzxxhznzzttzaat. Give prob of picking 2 a and 1 x.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)*-3*-1 - -2*sqrt(152)*-2)\/((sqrt(24)\/(sqrt(12)\/sqrt(4)) - sqrt(32)*-1)*-3).\nAnswer: sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1085391?\nAnswer: 3, 83, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 + -43. Suppose 18*y - 522 = -0*y. Let a = t + y. Is a a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6031 and 6683?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231674 is divided by 8274.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36*v + 31*v - 53*v - 308 + 4*v**2 - 8*v**2 + 2*v**2.\nAnswer: -2*(v + 7)*(v + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((i\/(i\/(i\/(i\/i**(-2\/9))))*i)\/i)\/i)\/i)\/(i\/(i*i\/(i*i**(2\/7))*i)))\/(i\/((i\/((i**(1\/3)\/i)\/i))\/i))**3 assuming i is positive.\nAnswer: i**(31\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - z = 211, z - 5 = -0. Suppose -10*l = -l - s. Suppose -5*r + 197 = -73. What is the greatest common divisor of l and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 + 7*r - 2. Let a be p(7). Suppose 3*o - 2 = 2*o + 2*s, 3*o - 6 = -3*s. Let h(b) = -6*b + 14*b - 2*b - 5*b + o. Calculate h(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*s**3*x**3 - 8395*s**3*x**2 - 4*s**2*x**3 + 4*s*x**2 + 3*s - 15098*x**3 wrt x?\nAnswer: -12*s**3 - 24*s**2 - 90588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5244, 5717, 6190?\nAnswer: 6663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fifty-one halves of a milligram?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 1 = -j + 91, -453 = -5*t - 2*j. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 25*g - 864. Let p(v) = 3*v - 108. Determine -6*m(h) + 51*p(h).\nAnswer: 3*h - 324","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1912768 a multiple of 286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 110, 100, 64, -10, -134, -320?\n\"Answer: -2*u**3 - u**2 + 7*u + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4965172 * -51.\nAnswer: -253223772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 5:30 AM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1076566693484028 - -1?\nAnswer: -1076566693484027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53885 is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 753.\nAnswer: 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35)\/(-196) - -4*(-4)\/(-64)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2. Let l = -126 + 157. Let r(h) = -57 + 56 + 8*h - l*h. Determine r(b(f)).\nAnswer: 23*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 9) to base 13.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 4*t**2 - 238866*t - 955444. Give p(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/7 (b) -2 (c) -0.2 (d) -1\/3 (e) 1\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 624 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -817, -1036, -1255, -1474?\n\"Answer: -219*g - 598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 642 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 5406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**4 - 48*l**3 - 288*l**2.\nAnswer: -2*l**2*(l + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1465 - 437. Let s = -1205 - g. List the prime factors of s.\nAnswer: 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 98 + (-21 - -29 - 8) + 12 - 13\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7693 - 7644.996. Let x = u + -48. Round x to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17051, -17029, -17007?\nAnswer: -16985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -23, 7, -6, 5 in ascending order.\nAnswer: -23, -6, -2, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-21)\/14 + (-58)\/(-4). Let v be (-2)\/((2 + -5)\/6). Let r = v + f. What is the remainder when 32 is divided by r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seven eighths of a microgram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhiiiihi. Give prob of sequence iih.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 + 11*k - 38. Suppose 2*o - 4*m + 0*m + 48 = 0, 4*o + 2*m + 66 = 0. Is t(o) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3915095825?\nAnswer: 5, 19, 79, 101, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 12:47 PM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 25 (c) -5 (d) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 477549168 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 43\/4. Let l = 1.9 - 1.8. Which is the second biggest value? (a) j (b) 5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15504 and 57?\nAnswer: 15504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**3 + 538924*o**2 + 11854876*o + 65199156.\nAnswer: 4*(o + 11)**2*(o + 134709)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 164200 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*a - 2\/3*a**2 + 1\/3*a**5 + 0*a**3 + 0 + 2\/3*a**4.\nAnswer: a*(a - 1)*(a + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by 39?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34378, 68798, 103218?\nAnswer: 137638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*(1 + sqrt(832)) - (2*sqrt(832)*1 - (sqrt(832) + -1 + 2)))**2*2.\nAnswer: 2016*sqrt(13) + 134882","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 347*b**3 - 6*b**2 - 2865. Let u(g) = 1734*g**3 - 29*g**2 - 14322. Let f(j) = 29*q(j) - 6*u(j). Find the first derivative of f(i) wrt i.\nAnswer: -1023*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + -132?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-56)\/(-32) + 2\/8. What is the closest to k in 0.3, 4, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o\/(((o**1*o)\/o*o)\/o*o))\/o))**30\/(o*o**2*o**(-5)))\/(o**(1\/3)*o\/o**(-2\/3)*o*o**(1\/2)*o*o\/(o\/(o**(-6)\/o))) assuming o is positive.\nAnswer: o**(189\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 11 (b) -0.4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56 - 28*z**2 + 90 - 146.\nAnswer: -28*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.22 and 9.1.\nAnswer: -2.002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1110?\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 7*h**2 + 7*h - 13*h + 6*h. Let n(j) = 2 - 2 - j. What is n(o(x))?\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 126, 4, -3, 24, 6 in increasing order.\nAnswer: -3, 4, 6, 24, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -86 + 85.999999932. Round a to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k - 3*k + k + (-13 + 10 - 23)*(0*k - 2*k + 4*k).\nAnswer: -55*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 1125013735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.28048 and -2.24.\nAnswer: -2.52048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 5*j**4 + (-11 - 9 + 14)*(6*j + 13*j - 11*j)*(j**2 - j**2 - 4*j**3))*(j + 4*j - 3*j + 2 - 2 + j + (0*j + 0*j + j)*(0 + 2 - 1)).\nAnswer: 788*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -37b59 (base 15) to base 12\nAnswer: -87063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a century in months?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119997090?\nAnswer: 2, 3, 5, 43, 101, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 11*l**2 + l - 63. Determine w(11).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**3 - 3*l**2 - l. Let s(w) = -w**2 - w. Suppose 0 = -32*k + 19*k + 39. Suppose -1 = 5*c - 3*v, -c + 10 = 3*v + k. What is c*z(b) - 2*s(b)?\nAnswer: -2*b**3 - b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/31148 and 67\/51090?\nAnswer: 61205820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a microgram in nanograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2040 + 0?\nAnswer: 2040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8\/21 of a week?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/6)\/((-35)\/(-105)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 50*o - 48*o - 29 + 11. Let z(r) = -11*r**3 + 5*r**2 - 9*r + 1. Let y(n) = 3*n**3 - n**2 + 2*n. Calculate o*y(t) + 2*z(t).\nAnswer: 5*t**3 + t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10857 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-574*g + 219*g - 258*g)*(0 + 0 - 1)*(0 + 2 + 4) in the form n + b*g and give b.\nAnswer: 3678","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and -26.3.\nAnswer: -26.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4179 + -3903. Is 9 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.9 and -49?\nAnswer: -191.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 76 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.57 + -2.07. Let p = 52129\/90520 + -2\/2263. Let l = p + -11\/8. Which is the third smallest value? (a) -3 (b) l (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 AM and 1:57 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7862 (b) -4 (c) 0.01 (d) -0.4 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84795 is divided by 21198.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 6. Let d be (-1)\/(156\/(-51) - r). What is the greatest common factor of d and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of -d**8\/840 - d**7\/105 - d**6\/36 - d**5\/30 - d**3\/3 - 2. Let z(r) be the third derivative of s(r). Factor z(n).\nAnswer: -2*n*(n + 1)**2*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 15*o**3 + 5*o**2 - o**2 - 2*o**2 - 14*o**3. Let c be h(1). Solve 2*p = c + 5 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10 and 9.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -11, -76, -0.04, 7.3?\nAnswer: 7.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 9, d: 2}. Give prob of sequence dd.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -61*h - 24*h + 2 + 16*h - 51*h + 12*h as x + m*h and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 77506569 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h**2 - 6*h - 1. Let o(g) = -g**3 + 12*g**2 + 12*g + 18. Let a be o(13). Let p(v) = -2*v**2 - 7*v - 1. Determine a*w(k) - 4*p(k).\nAnswer: -2*k**2 - 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 144 and 216?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2. Let m = 405 - 399. Let l(v) be the third derivative of 0*v**4 + m*v**2 + 0 + 0*v + 0*v**3 + 1\/20*v**5. Give z(l(r)).\nAnswer: 9*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1633594644804 plus -4.2?\nAnswer: 1633594644799.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 8:34 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (3\/14)\/(25\/(51800\/48)) and -15\/13?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**3 - t**3 + 17*t**3)*(-1016*t + 35*t**2 + 1016*t).\nAnswer: 490*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, -3, 12, -4, -1, 3.\nAnswer: -4, -3, -1, 3, 12, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 + 0.8. Let a = 0 + t. Let d be ((-21)\/(-70))\/(6\/16). Sort d, a, 2.\nAnswer: d, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + (4\/(-26) - -1). Let q be (135\/60)\/(6\/8). Sort q, 2, x in decreasing order.\nAnswer: q, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 + 0)*(2 - 2*g - 2) + (-2 - g + 2)*(0 + 4 + 0) - 2*g + g - 18*g - 3*g - 4*g - 12*g to c + u*g and give u.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + 5 + 4*w + 2 as h*w + o and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 7*a = 0. Suppose a = -5*u + 74 + 31. Let f = 30 - u. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183*g**3 - 178*g**3 + 832*g**3.\nAnswer: 471*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**0)**(-28)\/(i*i\/i**(2\/5)*i)**(-6\/11))**(-13\/5))**33 assuming i is positive.\nAnswer: i**(-3042\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 13*p - 17*p - 11*p**2 + 10*p**2 - 5. What is x(-5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 294*k**2. Let r(d) = d. Give o(r(j)).\nAnswer: 294*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3*a**2 - 7*a. Let i(t) = -t**2 - 3*t. Let j(p) = -p**3 - 24*p**2 + 28*p - 28. Let l be j(-25). Let z = l + 110. Determine z*i(y) - 3*v(y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 6*o = -2*g - 7, 2*g = 5*o - 27. What are the prime factors of g\/(-3)*(18 - -1833)?\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2245409 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 7*m - 4. Let q(v) = v**2 - 8*v + 9. Let s be q(5). Let i be j(s). Differentiate i + 1 + 13*n + 6 + 3 wrt n.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1169028, 1172980, 1179566, 1188786, 1200640, 1215128?\n\"Answer: 1317*j**2 + j + 1167710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 4*n = 2*p + 880, 3*p - 3*n = 894. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1520 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3\/5))**(-47) assuming r is positive.\nAnswer: r**(141\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1826545 to the nearest integer?\nAnswer: 1351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 22 from 0.0599.\nAnswer: -21.9401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -h + 4*q + 19, 4*q = -4. Let o = 2111 - 2111. Suppose 18*f - 14*f + h = o. Which is smaller: f or 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + l = 3*n + 31, l = 5*n - 88. Let r = 2630 + -2625. Calculate the remainder when n is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -3*g**3 - 138*g**2 - 744*g - 960 = 0.\nAnswer: -40, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of j**5\/20 + 11*j**4\/12 + 5*j**3\/2 + 15*j**2\/2 + 35*j. Is w(-9) a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 199*j + 198*j + 215*j - 818*j + 207*j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 334018469207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 21 + 4 + -4 + 6. Suppose b - h = 139. List the prime factors of b.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (29 - -1)*30\/50 and 22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 13*z**3 + 5*z**2 - 434*z + 25. Let u(h) = 2*h**3 + h**2 - h + 5. Calculate k(t) - 5*u(t).\nAnswer: 3*t**3 - 429*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 331842 - -284?\nAnswer: 332016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 25 = 0, 2*d = -3*q - 0*d + 1 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -1. Let w(y) = -y + 2. Let h be w(l). Let c(o) = -o**3 - 11*o**2 - 27*o + 20. Let g be c(-6). Solve -g*p + 0*p = h for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -8*h + 28*h - 10*h + 4 - 12*h. Let s be t(0). Solve -s*o = -o - 4*j - 9, o - j - 3 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 3*w + 20. Let t be (-3)\/(9\/24)*(-4)\/w. Let m(h) = h**3 + 8*h**2 - 2*h - 11. What is m(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y + 5*y = -32*y - 62 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.564 - 1.436. Let c be (-20)\/(-30)*3\/11. Let q = 4.9 - 5. What is the nearest to q in -0.4, n, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (9 + -10 - 1473\/4)*-4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -693 - -693.2. What is the second smallest value in 1, 23\/5, o, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 672548827 to the nearest integer?\nAnswer: 876","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*((c*c\/(c*c*c**0*c))\/c)\/c)\/(c**(-6)*c) assuming c is positive.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -4*f + 34. Let h be z(8). Let o(r) = -2*r**2 + 2*r - 1. Determine o(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 553 = -3*o + 5*a, 276 = 2*o - 2*a. Let h = o + -2. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -56\/435 and (-33)\/66*(-8)\/(-22) - (-1657)\/1914?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1355085.\nAnswer: 3, 5, 30113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/12*(-408)\/255?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 705 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5124\/1153 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22002112 + -1?\nAnswer: 22002111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -336 and -0.5.\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29197 + -29196. Let g = 3 - 6. Put v, g, 2, -1 in decreasing order.\nAnswer: 2, v, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3038 - 3038. What is the nearest to -3\/7 in f, 5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 1\/3, 3\/169, -2253, -1\/6 in increasing order.\nAnswer: -2253, -1\/6, 3\/169, 1\/3, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 19438 divided by -2?\nAnswer: -9719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(((-15)\/(-35))\/(27\/42)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 3*q - 3 + 9, -4*i + 1806 = 5*q. Let o = 101 - 68. Calculate the remainder when i is divided by o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(17) - (sqrt(17) + 2)**2) + 1).\nAnswer: -60 - 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1230 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6162681 - 3960256. Let c = -1397575 - z. Round c to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 4*x**2 + x - 5. Let o = 10 - 6. Let c be m(o). Let h(k) = 3*k**3 + 2*k + 1. Give h(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -10\/3. What is the second smallest value in m, 0, -2, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -3*j + 30, -2*j = 2*j - 3*w - 47. Let u = -10 + j. What is the remainder when 15 is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(228))\/sqrt(12))**2 - (sqrt(152)\/sqrt(1152))**2.\nAnswer: 43757\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is z in z**3 - z + 1\/3*z**4 + 10\/3 - 11\/3*z**2 = 0?\nAnswer: -5, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 339 and 2948622.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s\/(s\/(s*s**(-1\/2)*s)))*s**(6\/5))**(-3\/16))**6)**2 assuming s is positive.\nAnswer: s**(-63\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 4*a = 10 + 38, -5*m + 2*a + 106 = 0. Suppose -m = -r - r. Calculate the remainder when r is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 9856 = -4*c, -5*p - 7139 + 19454 = 4*c. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 15 = 27. Let v be r*(3302\/8)\/13. Round v to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 4 = 3 - 10 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 98 or 92?\nAnswer: 92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 10*z**2 + 171*z - 11. Determine p(19).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 545 is divided by 137?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -16.959 + -189\nAnswer: -205.959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + 4*y - 3. Let h be s(-3). Let t(l) = -2*l**2 + 5*l - 4*l**2 - l**3 + l**2 - 5. What is the units digit of t(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*((c*c**10\/c)\/c)\/c))**29 assuming c is positive.\nAnswer: c**(-232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 195 - 195. Is g greater than -1\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -1074*l**2 + 9*l - 132. Let i be p(44). What is i rounded to the nearest one hundred thousand?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p. Let v(b) = 10*b**2 - 5*b + 6. Let t be v(3). Suppose -5*k + t + 124 = z, 3*z + 25 = k. Let f(s) = -18*s + k*s + 11*s**2 - 22*s. What is f(l(r))?\nAnswer: 11*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 388210, 778372, 1168534, 1558696?\n\"Answer: 390162*x - 1952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 39*a - 36*a - 2 + 2. Let n(l) = -6*l**2. What is c(n(x))?\nAnswer: -18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000029828 rounded to seven decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - (13 - (-9 + 19))) + -16.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) 2 (b) -42 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35521\/80 + -444. Let l(r) be the second derivative of 0*r**2 + v*r**5 - r - 1\/24*r**4 + 0 + 1\/24*r**3. Let l(p) = 0. What is p?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.515984 litres to millilitres.\nAnswer: 8515.984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*p - 52*p - 54*p - 74*p in the form t + k*p and give k.\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 3 (b) -2\/3 (c) 108\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/2 + 16\/7. Suppose -3*l = -7*l - 1044. Find the common denominator of y and (2\/(-3))\/(60\/l).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 - 4*y + 18. Let d be b(-6). Solve d*f + 5 = f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 208 and 1113073.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -126041 * -3\nAnswer: 378123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xqm when three letters picked without replacement from xqqmmmm.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.162 and 4.\nAnswer: 0.648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -e2568 (base 16) to base 12\nAnswer: -388608","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (899\/(-87))\/31*12\/(-26)*-1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 70963 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -2477.\nAnswer: 7\/2477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190*p - 518383 - 148137 = 0. Is 18 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 + 17. Suppose -4*o + 23 = x, -5*x + 24 = 2*o - 1. Suppose o*b + 12 - 2 = 0. Which is smaller: b or s?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 5 = 15. What is the smallest common multiple of 0 + -2 + 1 - -3 and (x\/(-4))\/((-4)\/(-8))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -30, -40, -54?\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 47017337933 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of z**4 + 2*z**3 + z + 0 + 3\/20*z**5 + 0*z**2. Solve y(i) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 99.1 (b) -35.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -258 - 2*h**3 + 4*h**2 + h + 0*h + 674 + 127. List the prime factors of x(0).\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of 5\/6*s**3 + 0*s**2 + 4*s + 0. Let r(p) = -6*p. Let h(z) = -2*z + 3. Let u be h(0). Give u*r(t) + 4*y(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59.38962mg to micrograms.\nAnswer: 59389.62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.571 and -0.2?\nAnswer: 0.1142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67 + 66 - 182 + 49 - 69*s**3.\nAnswer: -69*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-645)\/(-9) - 2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.211961887 rounded to two decimal places?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 71059 times -2.36\nAnswer: -167699.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6 + 5)\/((-1)\/(-2)). Let b(o) = 16*o + 2. Let m be b(d). Calculate the smallest common multiple of (-16 - 2)*(m\/(-12))\/(-5) and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -573*c**2 - 561*c + 12 = 0.\nAnswer: -1, 4\/191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000009832 rounded to 7 decimal places?\nAnswer: -0.0000098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 36 - 4 = -5*g, -4*h - 4*g - 4 = 0. Let i(p) = -5*p**2. Suppose -15*q + 8 = -17*q. Let z(l) = -6*l**2. Determine h*z(u) + q*i(u).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*c + 30*c - 72 = 0 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21.4 + 20.4. Which is the biggest value? (a) 3 (b) -2\/5 (c) g (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-34*(-3)\/(-22))\/1. Let n = w - -503\/99. Factor 4\/9*v**4 - 2\/9*v**5 + 0*v**3 + 2\/9*v - n*v**2 + 0.\nAnswer: -2*v*(v - 1)**3*(v + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-7)*j**(-6)\/j)**(-3\/14)\/((j\/(j\/j**(9\/7)))\/((j\/(j**(-5)*j))\/j))**(-27) assuming j is positive.\nAnswer: j**(-492\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -695 - -414. Let y = t + 280.999315. Round y to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 87, 202, 357, 570, 859, 1242?\nAnswer: 1737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3712821510 to the nearest integer?\nAnswer: 1548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -1.5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 5:01 PM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -130*v. Let q(w) = 2*w + 2098. Calculate l(q(c)).\nAnswer: -260*c - 272740","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from snnsivsinvqsnsssqvs.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164608 is divided by 41151.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 - 5*j - 1. Let h be ((-18)\/(-15))\/(-3)*5. Let r be (3\/h)\/(3\/(-16)). Suppose 5*p - r = -33. Calculate z(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -4*p - 25. Let k be s(-7). Suppose 0 = 4*j - j + k*d + 21, 3*j - 5*d + 21 = 0. Which is smaller: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/246 and -69\/22?\nAnswer: 2706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(1088)*1)**2 + sqrt(1088)).\nAnswer: 24*sqrt(17) + 3264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gq when two letters picked without replacement from {u: 1, q: 1, g: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 51 - 60. Let v = j - -184. Does 35 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218891627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6118?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/21)\/(380\/(-266))\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3222, 6342, 9462?\n\"Answer: 3120*n + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.976 + 0.024. Let b be (3\/19)\/3*2. What is the nearest to 1 in 2, l, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-540)\/126)\/3*7\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -0.3 (b) 0.13 (c) -2153\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 62640 by 6.\nAnswer: 10440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**2 - 1811*f + 295109. Calculate q(141).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*p**2 - 3*p + 3*p)*(3 + 5 - 4)*(30*p + 54*p + p) as w*p**2 + j*p**3 + i*p + s and give j.\nAnswer: -680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2029.\nAnswer: 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -107\nAnswer: 1\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/28612 and 91\/8.\nAnswer: 57224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/240*4*2.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4 + (-26 - -41)*(-37)\/(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -275dba (base 14) to base 7.\nAnswer: -14365623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 585661884 to the nearest integer?\nAnswer: 837","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -3*(-3*sqrt(75))**2.\nAnswer: -2021","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 6*f - 71. Suppose -3*w + 5 = -2*w. Suppose 680 = 5*b - w*k, b - 3*b + 268 = 2*k. What is the highest common factor of f and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 2*l**4 - 2 + (l - 2*l + 0*l)*(-801 + 801 - 6*l**3 + 7*l**2).\nAnswer: 8*l**4 - 7*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 2*sqrt(1216))**2*-1*-5*1.\nAnswer: 160*sqrt(19) + 24325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -o**4\/4 + o**3\/3 + 16*o - 3. What is the lowest common multiple of y(0) and 4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 54*q**2 - 4*q + 1. What is a(-1)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30789 - 512631604.2.\nAnswer: -512600815.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 8:38 PM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 131 = 28. Suppose 0*o = -o - 95. Let p = o - z. Calculate the highest common divisor of 32 and p.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/3))**37\/(((o*o**(-2)\/o)\/o*o)\/(o*o**(-4))))\/((o\/(o**(1\/4)\/o))**(-2\/5))**(2\/57) assuming o is positive.\nAnswer: o**(-3793\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i**2 + 225*i + 2577. Determine t(123).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + w - 2*w**2)*(759*w**3 + w - 395*w**3 - 392*w**3 - 12*w**2).\nAnswer: 56*w**5 + 24*w**4 - 2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.8 from 13.\nAnswer: 12.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, v: 2}. What is prob of picking 1 d and 2 v?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1026842 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1455456302?\nAnswer: 2, 727728151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -587 - -610. Solve -2*d + 2 = s - 0*d, -5*s = -3*d - j for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v - 270 = 145 - 95. Let i(g) = g**2 - 5*g + 1. Let p(x) = 2*x + 2. Let j be p(2). What is the remainder when v is divided by i(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5 + -2 + (sqrt(392)*1*-2)**2).\nAnswer: 4713","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19.59405 hours to days.\nAnswer: 0.81641875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -1\/1421 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3654511 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -5*z - 13, 4*l = 2*z + 3*z + 22. Is 15 a factor of l*((-4 - -2) + 17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 819908 is divided by 130.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2231 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/302900432 and -89\/2.\nAnswer: 302900432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((((p\/p**(-14))\/p*p)\/p)\/p))\/(p**(2\/25)*p))**(-17)\/(p*p**(-12)*p**(-2)*p*p)**(4\/13) assuming p is positive.\nAnswer: p**(73367\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 4*s - 54. Let j be s\/10 - (0 + 3). Which is the third smallest value? (a) j (b) 3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 8:43 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 112700 a multiple of 161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/17 (b) 0.4 (c) 2 (d) -0.14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q - 4. Calculate k(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2502100 (base 7) to base 8\nAnswer: -1161104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -903*s - 1374*s + 605*s.\nAnswer: -1672*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*r**3 + 20*r**3 - 2 + 0)*((-2*r - r + 5*r)*(-1 + 0 + 2) - 15 + 15 + 18*r).\nAnswer: 80*r**4 - 40*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -4*t**3 - 3*t**2 + 3*t - 3. Suppose 5*z + 42 = 127. Let l(n) = -23*n**3 + n - z + 7*n - 17*n**2 + 9*n. What is -6*l(m) + 34*q(m)?\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9581 is divided by 38?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -525, -2, 1\/2, 0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(19\/4)*y)\/y*y**(-8\/3)*(y**32*y)**(2\/103) assuming y is positive.\nAnswer: y**(-7139\/1236)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/2 - 201*m**2\/2 - 3598*m - 22608.\nAnswer: -(m + 8)*(m + 36)*(m + 157)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12112220120 (base 3) to base 7.\nAnswer: 633420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 702343.4km?\nAnswer: 702343400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 201765 divided by -5.\nAnswer: -40353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -502 + 511. Solve -3*q + 10 = b*f - 8*f, -4*f + 26 = 5*q for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(91) + (sqrt(91) - (sqrt(91) + -1*sqrt(91)))*-3 + sqrt(91) + sqrt(91))\/(sqrt(252) + sqrt(252)*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 42 = 5*p, -2*p = -4*d + d + 32. Let j = p - -12. Sort -5, j, 0.\nAnswer: -5, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4020434 (base 6) to base 10.\nAnswer: 189382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - 0 - (1 + -1 - 8).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 270?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)*-2*-6 - sqrt(136))\/(sqrt(8) + (sqrt(1152) + -2*sqrt(1152) - sqrt(1152))).\nAnswer: -11*sqrt(17)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2156\/528 - (-1)\/(-12)*1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -3*l**3 + l**3 + 3*l**3 + 2 - 18*l. Suppose 138*i - 306 - 246 = 0. Calculate v(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 141209.189 to the nearest one thousand.\nAnswer: 141000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/9)*w\/(w\/(w\/(w\/(w\/w**1*w)))*w*w*w))**(7\/2)*(w\/(w\/(w**(1\/9)\/w)))\/w**5*w\/(w*w*w\/(w*w**(2\/7))*w)*w**2 assuming w is positive.\nAnswer: w**(-745\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is 383824188 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -4*i - 30. Let t be a(-15). Suppose -5 + t = d. Round d to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18855\/(-1676) + 1\/4 - 51.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -149085, -298162, -447239, -596316, -745393?\n\"Answer: -149077*x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 24 = -0*j. Let p be ((-3)\/(-24))\/(4\/j). What is the closest to p in 0.5, 1, 3\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11742295 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 + 6*p - 5. Suppose -4*i + 20 = 0, -3*h = -0*h - 5*i + 19. Let u be b(h). Suppose -110*x + 129*x - 95 = 0. Solve -x*r + 2 = -u for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(19)*-1)**2 + sqrt(19) + 3.\nAnswer: -sqrt(19) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40 + -36 + -29 + -96 + (3 - -1)?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 20\/11, -0.2, 0.2, -1\/3, 3, 45 in decreasing order.\nAnswer: 45, 3, 20\/11, 0.2, -0.2, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3088368?\nAnswer: 2, 3, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 744?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -5, 5, 0, -7 in decreasing order.\nAnswer: 5, 0, -5, -7, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c. Let s(r) = r**3 + 10*r**2 + 9*r + 6. Let b be s(-9). Suppose b*n = 3*n + 243. Let u(y) = 9*y - 81 + n. Calculate j(u(t)).\nAnswer: 18*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1\/3, -1\/2, 1\/11, -0.09?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11002858*x**4 - 291918320*x**2?\nAnswer: 264068592*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16\/101 - -457\/303. Let j = 3 + -2.6. Sort u, -1\/3, j in ascending order.\nAnswer: -1\/3, j, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.38651 - -4\nAnswer: 3.61349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.8, 86, 6725 in decreasing order.\nAnswer: 6725, 86, 1.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/16 and 61\/1530?\nAnswer: 12240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 120*n - 8 - 112*n - 1.\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-3\/7)\/w)**35\/(w**(-10\/7)\/(w\/(w**(-6\/11)*w))))**(-38) assuming w is positive.\nAnswer: w**(140524\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.3 - 3. Suppose 2*r = -4*u + 16, 1 = 3*r - 5. Suppose -1 = -u*d + 2*n, 4*d + 2*n + 3 = -5. Which is smaller: y or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-40)\/(4\/2)*(-12)\/30. Suppose 0 = -v - 4*p + 19, 2*p = 3*v + p + u. Let t = 2 + v. Solve 0 = -5*w + t - 16, 4*w + 14 = -m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43.04 - 44. Let x = 1.6 + c. What is x rounded to two decimal places?\nAnswer: 0.64","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.291 to two dps.\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 - 6*y - 5. Suppose r = 3*t - 7*t + 30, -3*r = t - 13. What is the lowest common multiple of s(t) and 11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*a**2*i*l + 132*a**2*l + 3*a**2 - 2*a*i - a + 4967*i*l + 9*l - 14 wrt i.\nAnswer: -2*a**2*l - 2*a + 4967*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vovvvoccu. Give prob of picking 1 c and 1 v.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 divided by -1.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i - 16637 - 127*i**2 + 16637 + 3*i.\nAnswer: -127*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -1\/6, -8, 4\/7, 2\/29 in decreasing order.\nAnswer: 4\/7, 2\/29, -1\/6, -7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-113396)\/110)\/(40\/50). Let w = c - -1289. What is the common denominator of -125\/12 and w?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of x**5\/120 + x**4\/12 + 28*x**3\/3 + 2*x**2 + 5*x. Let w(i) be the first derivative of l(i). Determine w(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -129*i*j**2*k*z + 7*i*j**2*k - 74*i*j**2*z + i*j*k + i*j*z + 64*i*j - 5*i*k*z + 2*i*k - 7*i*z - 2*j*k*z wrt j.\nAnswer: -258*i*k*z + 14*i*k - 148*i*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 44*j**3 - j**2 - 91*j**3 + 69 + 45*j**3 + (-j**2 - 2*j**2 + j**2)*(j + 0 + 0).\nAnswer: -4*j**3 - j**2 + 69","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence acaa when four letters picked without replacement from {c: 11, a: 4, q: 4}?\nAnswer: 11\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 903 is divided by 183?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 28.3373 to 1 decimal place.\nAnswer: 28.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 1)*(-r - r + 4*r) - 2 + 2 + r + (68 + 46 - 42)*(2*r - 4*r + r).\nAnswer: -69*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*m - 4*m + 7*m.\nAnswer: -15*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-100)\/(-855) + (3 - 220\/76)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04987, -3, 2\/11 in increasing order.\nAnswer: -3, 0.04987, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -1, 6, -11 in descending order.\nAnswer: 8, 6, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 9275, 9276, 9277?\n\"Answer: j + 9274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + 9*m - 9. Let c be r(4). Let s be 8\/44 + 20\/c. Calculate the highest common divisor of 2 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 5 = -2. Let f(p) = b*p - p - 3*p + 3*p. Let k(y) = -5 - 7*y + 5. Calculate k(f(i)).\nAnswer: -14*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 - 4. Let n(f) = -f - 1. Let d(r) = -7*r. Let c(m) = d(m) - 5*n(m). Let x be c(0). Suppose 2*a - a + 1 = 4*k, -x*k + 8 = a. Determine j(a).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - t = -12*t + 8 + 38, -7*t + 26 = 3*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.93 and 0.02.\nAnswer: -0.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2106*j**3 - 3*j**2 - 7*j - 5. Is u(-1) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) - sqrt(304)*-4)**2*-1.\nAnswer: -7600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -3 (b) 2\/7 (c) 5 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3979*q**3 - 1702*q**2 + 3*q.\nAnswer: -23874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-42)\/(-56) + 14\/(-24)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204815\/1026 at most as big as 200?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12365305 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * -0.036.\nAnswer: -0.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a gram in micrograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -193395593\/4630248 - -1\/82683. Let z = -285\/8 - o. What is the common denominator of z and ((-4)\/(-30))\/((-1)\/(-5))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -176345\/4 + 43458. Let r = l - -649. What is the common denominator of r and -43\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9957663 + -2?\nAnswer: 9957661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of -j**6\/360 + 11*j**5\/120 - j**4\/2 + j**3 - 3. Let b(x) be the third derivative of h(x). Is 12 a factor of b(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13 + 13 + 12*q + (-2 + 5 - 4)*(-1 + 2*q + 1).\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of -19*(-2 - (-12)\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-10)*t*t*t)**(1\/17)\/((t\/t**(10\/11))\/t**(1\/11)) assuming t is positive.\nAnswer: t**(-6\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 + g + 4. Let l be i(-3). Let u = l + 9. Which is the closest to u? (a) 0.5 (b) -0.2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24563\/847 + (-226)\/7?\nAnswer: -23\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 5:30 AM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22274 + 29652. What is the greatest common factor of 68 and a?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + b - 16 = 0. Let y be (b\/(-3))\/((-13)\/(-78)). Let k = y - -20. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4.6? (a) -8\/5 (b) 0.47 (c) -2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -32*j - 659. Let d(v) = -5*v - 1. What is -6*d(o) + q(o)?\nAnswer: -2*o - 653","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -65184\/19 or -3431?\nAnswer: -3431","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(3\/2)\/(v**(-1\/7)*v*v) assuming v is positive.\nAnswer: v**(-5\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (40\/35)\/(-4) - 1*65\/91. Let y(m) = -109*m - 4. Calculate y(z).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of 0*s**4 + s + 0*s**2 - 1\/3*s**3 - 1\/10*s**5 + 0. Find the second derivative of p(i) wrt i.\nAnswer: -12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 + 27*n + 43. Let q be a(-25). Let g(p) be the third derivative of -3*p**4\/8 + p**3\/3 + p**2. What is the tens digit of g(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 597 = w, -4*w + 14*c + 2418 = 17*c. Does 7 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 9, y: 6, v: 4}. Give prob of picking 2 x.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -14*r**3 - r**2 - 3*r - 2. Let y be 8\/24 - 4\/3. Calculate the remainder when 95 is divided by n(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5780*u = 5769*u + 6754451. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/3 - (-4)\/(-3). Let q(x) = 17*x - 457. Let z be q(27). Which is the nearest to o? (a) z (b) -3\/5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or 68414051?\nAnswer: 68414051","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15344*r = 15246*r + 6860 for r.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32144*i**3*x**2 + 5580*i**3 + 14*i**2*x**2 - 966*i**2 + 5*i with respect to x.\nAnswer: 64288*i**3*x + 28*i**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 162 and 143937?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0401422 - -438.5.\nAnswer: 438.5401422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 143*c - 3. Suppose 6*i - 82 = 2*i + 3*n, 2*i - 40 = 2*n. Suppose -18 = 4*z - i. Let w be r(z). What is the greatest common divisor of 20 and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of 16*a**2 + 0*a**4 + 0*a**3 - 1\/6*a**5 + 0 + 0*a. Let q(y) be the second derivative of y**3\/6 + 4*y. What is z(q(u))?\nAnswer: -10*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84 + 171 + 0*t**2 + 6*t**2 - 87.\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 501284 = -n. Let g = n + -195279. Let y = g + 40958. What is y rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 92 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -4*s**2 + 3*s + 10. Let j(h) = h**2 + h - 1. Let n(u) = -b(u) - 3*j(u). What is n(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -7*f. Let t(j) = j - 5. Let b be t(8). Let c(l) = b*l - l - 2 - l + 1. Let a(u) = 7*u - 4. Let h(d) = a(d) - 4*c(d). Give 5*h(s) + 2*i(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t. Let k(q) be the second derivative of -2\/3*q**3 - 2*q**2 + q - 1. Determine p(k(c)).\nAnswer: -8*c - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of 1\/3*c**3 - c - 8 + 0*c**2. Factor r(b).\nAnswer: (b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -4, 13, 3 in increasing order.\nAnswer: -9, -4, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x - 18. Calculate d(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4493, 37, 4, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -5*a + 244 - 34, -6 = c. Let t = 7 + -1. What is the highest common factor of a and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*a + 15*a = 3*v - 22, 4*v - a = 4. Let b = -450 + 454. Put -3, b, -1, v in decreasing order.\nAnswer: b, v, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand v + 5*v - 5*v - v + v - v - 2*v + 1 - 1 + (0 - 2 + 1)*(-2*v - v + 5*v) - 2*v + 3 - 3 + v - 3*v - v + 3*v + 2*v - 4*v.\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 154 and 29722?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -201203834, -201203831, -201203828?\nAnswer: -201203825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 2 - (-17 + 20) - (-1 - -5).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2287 * -20109\nAnswer: -45989283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - -1)\/((-6)\/(-116)). Suppose 2*p + 6 = 0, 3*a - 41 = -p + y. List the prime factors of a.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ff1 + -2?\nAnswer: -ff3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*k = 13*k - 690 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 9*i**2 + 9*i + 9. Let z be (-52)\/(-5) - (-2)\/(-5). Let y be m(z). Let t = y - -16. Does 5 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.9 + 0.9. Let r = 59 - 62. Put 0.3, 5, i, r in ascending order.\nAnswer: r, i, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/50 of a millisecond?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/1557801 and -67\/189678.\nAnswer: 314675802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*l**2 + 12*l**2 - 3*l**2 + 2*l wrt l.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -163999 (base 11) in base 14?\nAnswer: -68851","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zyz when three letters picked without replacement from zyzyzzzhhzhzzhzzyz?\nAnswer: 55\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13226?\nAnswer: 2, 17, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 12:05 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 91 (b) -1 (c) 5 (d) -0.35 (e) 163\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -5*d**3 + 3*d**2 + 4*d - 1. Let l be b(3). Let q = -53 - l. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7581300 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13604 and 3736088.\nAnswer: 716","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2*s + 5 = 0, -116*s + 121*s = i + 24. Suppose -b - 45 = 19. Put b, i, 5 in descending order.\nAnswer: 5, i, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 + (12 - 10 - (9 - 19))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h - 1. Let g(t) = 10*t - 4. Let s(k) = g(k) - 8*o(k). Let b be s(4). Is 3\/b + 1270\/8 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*o - 13*o + 75*o - 44*o - 38*o.\nAnswer: -32*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18621.\nAnswer: 3, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 110 and 10295824.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -4*l**2 + l + 4. Let a(v) = v**2. Let y be 1*-12*18\/72. What is y*a(h) - b(h)?\nAnswer: h**2 - h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 - 2 - 9\/(-3). Suppose 0*s + 1116 = -q*s. Let p = s + 271. Is p a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 3*u**2 + 2*u + 2. Let l be p(-4). Let i = -3 + l. Let x be (-792)\/(-36) + 0 + 6. Calculate the greatest common divisor of i and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9169869?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-24 + 12 - -11).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) + -2 + sqrt(1377))**2 + 0 + sqrt(1377) - (-1*2*sqrt(1377))**2 - (-4*(-2 + sqrt(1377)) + (sqrt(1377) + 0)**2*-4).\nAnswer: -27*sqrt(17) + 5504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*j**3 + 90*j**2 + 1416*j + 576 = 0.\nAnswer: -4, -8\/19, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 141*u + 2961. Let c be p(-21). Let y(l) be the first derivative of 15\/4*l**4 + 0*l + c*l**2 + 5*l**3 + 15. Find the third derivative of y(x) wrt x.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -5*w**2 + 2*w + 2. Let d(k) = -5*k**2 + k + 3. Let u(b) = -2*d(b) + 3*j(b). Find the second derivative of u(h) wrt h.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -114890 plus -101413?\nAnswer: -216303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10053693 and 351.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(190)\/(sqrt(10)*-2) - (-1*sqrt(931))**2) + -4*sqrt(209)\/(sqrt(22)\/sqrt(2))*2.\nAnswer: -5*sqrt(19) + 5586","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3605468*h**2 - 6*h - 123720.\nAnswer: -7210936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - 9*q**2 - 19*q - 6. Let y be n(-6). Solve y = 6*j - 18 + 48 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(72) - (-3 + sqrt(72) + sqrt(72) - sqrt(72))**2) + 3 - ((sqrt(72) + sqrt(72) + 3)*6)**2).\nAnswer: 2550*sqrt(2) + 10770","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -76*j**2 - 540*j - 5. What is the remainder when 162 is divided by y(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a*c**3*k**2 - 2*a*c**3*z + a*c**3 - a*c**2*k*z - 84*a*c*k**2 + a*k**2*z**2 + 18*a*z**2 - 4*c**3*z**2 wrt k?\nAnswer: -4*a*c**3 - 168*a*c + 2*a*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4*a = 12. Is a\/(6\/(-2))*13 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0418 take away -4?\nAnswer: 3.9582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 7*o - 34. Calculate the common denominator of (o\/18)\/1*10472\/680 and -109\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1371777 divided by 41569?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of -b**6\/45 - 11*b**4\/24 + 2*b**3\/3 - 9*b. Let v(m) be the second derivative of h(m). What is the derivative of v(a) wrt a?\nAnswer: -16*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 + 12\/3 - -5. Solve 3 = a*o - 2*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence neu when three letters picked without replacement from dyddykeyneydnun.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -16*o**3 - o**2 + o + 1. What is the remainder when z(-2) is divided by 33?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/1747 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -801537.325 + 8.95?\nAnswer: -801528.375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + 24?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + i**2 + i + 1. Calculate p(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8\/19, 0, 2\/5, 16.5, 13, -3?\nAnswer: 16.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35 - 33. Factor 2\/7*m**4 + 0*m**3 + 0*m - 4\/7*m**i + 2\/7.\nAnswer: 2*(m - 1)**2*(m + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -3. What is the second derivative of 10*z**h + 2*z - 3*z**4 - 10*z**2 wrt z?\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 AM and 7:21 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 857 is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11023 - -3?\nAnswer: -11020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x + 10. Let k be s(8). Suppose -w + 2*t - 3*t + 8 = 0, 0 = k*t + 8. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1312383*d**2*o**2 - 1210*d**2 - 2*d*o**2 + 14*d + 2 wrt o?\nAnswer: 2624766*d**2*o - 4*d*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 + (4 - 2)\/2. Let b(i) = 3*i + 1. What is b(m)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.415 * 2\nAnswer: -0.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, m: 1, g: 1}. What is prob of picking 1 m and 1 g?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 2*c + 29622. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -641 + 665 + (-3 - -17)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1580)\/(-6636) + 3*(-5)\/35?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + 14. Suppose v = j + 7. Solve -4*f = 2*o + o + 8, -5*o = -2*f - v for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4\/3 - 16*v**3\/3 + 14*v**2\/3.\nAnswer: 2*v**2*(v - 7)*(v - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3544\/1581 + 78\/31. Let c = -1\/17 - a. What is the nearest to c in -4, -1\/2, 3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1552\/(-32))\/((-1)\/2). Let l = -53 - -150. Are l and m equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15386 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4\/95 + -3\/19. Let u(c) = c**3 - 13*c**2 + 12*c. Let j be u(12). Let h be ((-20)\/(-16) - j) + -2. What is the third biggest value in 6, -3, h, y?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*x + 5*j + 3 = 0, 26 = -21*x + 5*j + 46 + 47 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 78 = -o. Let t be (-16)\/o - (-92)\/22. Suppose -6*r + 63 = 4*l - r, -t*l = -2*r - 98. Calculate the least common multiple of l and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 456250*c**3 + c**2 - 4*c + 4. Let k be q(2). Round k to the nearest one hundred thousand.\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 7, b: 2, o: 2, p: 2, w: 4}. What is prob of picking 1 o, 2 w, and 1 p?\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of t**6\/30 + t**4\/6 - 14*t. Find the third derivative of k(r) wrt r.\nAnswer: 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 147987.026 and -733360.\nAnswer: -585372.974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of s**4\/12 + 3*s**2\/2 - s. Let l(j) = 2*j**2 + 5. Let g = -5 - -3. Let t be g - (-1 + 3 + 1). What is t*v(d) + 3*l(d)?\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 122 - 159. Let y = t - -37.14. Is y > 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ct when two letters picked without replacement from cccccccccdccccctccc?\nAnswer: 17\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*j + 2*j - 736. Calculate the greatest common divisor of j and 256.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -16 + 12 - 2098*p**2 + 1042*p**2 + 1043*p**2 - 10*p. Let n(k) = -4*k**2 - 3*k - 1. What is -2*b(c) + 7*n(c)?\nAnswer: -2*c**2 - c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**5 + 87*y**4 - 662*y**3 + 441*y**2 + 154*y - 12. Let g(x) = x**5 - 5*x**4 + x**2 + 2. Let d(t) = 30*g(t) + 5*u(t). What is z in d(z) = 0?\nAnswer: -22, -1\/4, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -26 and -1998.1.\nAnswer: 51950.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-147)\/(-4) + (-36)\/48. What is the highest common factor of r and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 13*a**2 - 23*a + 12. Let v = -402 - -413. Let d be g(v). Calculate the greatest common factor of d and 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + 5*w - 83. Let g(k) = 2*k**2 - 3*k + 41. Calculate -5*g(v) - 3*m(v).\nAnswer: -7*v**2 + 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*l**3 - 1672354*l**2 - 2*l + 18097114 wrt l.\nAnswer: -12*l - 3344708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4c - a265a?\nAnswer: -a260c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 58959449 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 + 2*r - 4. Let i be w(-4). Let p(x) = 2*x**2 - 7*x. Let v(g) = -g**2 + 4*g. Let j(y) = i*p(y) + 7*v(y). Let c(t) = -6*t. Determine c(j(o)).\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -114, -119, -124?\n\"Answer: -5*d - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, i: 19}. What is prob of sequence iiv?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_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: What is 2128 (base 13) in base 7?\nAnswer: 16255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at most as big as -6284?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5356997km in meters?\nAnswer: 535.6997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22342 to the power of 1\/2, to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4873 bigger than 4872?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1528 - 1527. Put 0.1, d, -1.7 in descending order.\nAnswer: d, 0.1, -1.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 3\/17, 71, 1\/10 in increasing order.\nAnswer: -0.4, 1\/10, 3\/17, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 79473 + -622. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272) + 0)*6 + 4 + (1*(0 + sqrt(272)) - ((1*sqrt(272) - sqrt(272)) + -5)))**2*3 + 0.\nAnswer: 1512*sqrt(17) + 40227","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - x + 5*x)*(4*x - x + 0*x)*(78 - 14 + 38).\nAnswer: 612*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -74 + 21 - (26 - 77)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27 and 2700?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 345 and 3726000.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 b when four letters picked without replacement from byyyyyyybb?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 354*1907.3\nAnswer: 675184.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -4\/7, 0.4, 0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 + 9*b**2 + 2*b + 12. Let x be f(-6). Let o be (1\/((-16)\/x))\/((-9)\/(-24)). What is the units digit of ((-2)\/4)\/((-12)\/(-8))*o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -7398717.3 and -5370.\nAnswer: -7404087.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-6))\/(-4 + -5 - -5)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21*((-14)\/84)\/((-2)\/4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-14) - 2075\/35) + 70994\/(-5071)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from ggggggxxggxgggggxggg.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -25604925 divided by 185?\nAnswer: -138405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 78\/104*4\/(-5)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 343648969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -204, -407, -608, -807?\n\"Answer: s**2 - 206*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 3.14 (c) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - -4 - (6 + 2)*5\/10. Solve 2*n + h*m + 295 - 303 = 0, -5*n - 7 = -4*m for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 16 = 2*x, 3*t = 2*t - 4. Suppose 76 - 28 = x*s. Solve s*i = 5*k - 0 + 13, -k + 7 = -3*i for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3571350 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114079 is divided by 203.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2770841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one quarters of a litre in millilitres?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -3729498 to the nearest one thousand.\nAnswer: -3729000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 v when four letters picked without replacement from vqqiqiiqqiiixvviq?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 10.5 (c) -5 (d) 1\/7 (e) 3 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 8*f - 5. Let x be g(-10). Let y = x + 427\/5. Sort 3\/8, y, 3 in descending order.\nAnswer: 3, y, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 99*r - 4064. Determine x(26).\nAnswer: -1490","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*w**3 - 210518*w**2 + 17*w + 11501394 with respect to w.\nAnswer: -9*w**2 - 421036*w + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -14811+0.5\nAnswer: -14810.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3, -6, -47, -138, -297, -542?\n\"Answer: -3*b**3 + 2*b**2 + 6*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 176 + -3169\/18. Which is the smallest value? (a) 3\/7 (b) -1\/4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of 5*h**4\/12 - h**3 + 15*h. Does 24 divide q(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1517 = 64*k - 297 + 22 for k.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -5*x + 59, 3*x + 5*y = 2 + 22. Suppose -3*z = -x - 59. Calculate the greatest common factor of 8 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 188252 to the nearest integer?\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 0, -7*y = -6*y - n - 663. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*z + 1168*z - 2118 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5*(3 - (0 + 2)). Let l(b) = 14*b + 3. Let w(a) = 63*a - 54. Let m(c) = 42*c - 34. Let s(h) = -11*m(h) + 7*w(h). Give y*s(o) + 7*l(o).\nAnswer: -7*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1215 - 1219. Let b(m) = m**2 + 5*m + 3. Calculate b(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22003*q - 22034*q + 44033*q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -4*t - 2. Let w be (-2)\/(-8) + t\/(-16). Sort w, 0, 2 in increasing order.\nAnswer: 0, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/11? (a) -2\/727 (b) 5 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nozodoeoz. Give prob of picking 2 z, 1 n, and 1 e.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.78 - 2.8. Which is the second biggest value? (a) p (b) -0.5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of -385*z**4\/12 - 271*z**3\/3 + z + 507. What is the second derivative of i(s) wrt s?\nAnswer: -770","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (((sqrt(475) + 3 - sqrt(475) - sqrt(475)) + 0 - (2 + sqrt(475) + -5)) + -3)*-2)**2.\nAnswer: -440*sqrt(19) + 7721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 14*a. Let s = -20 + 16. Let c(w) = 5*w. Determine s*f(r) + 11*c(r).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158 + 428 = 15*z. What is the lowest common multiple of 1898 and z?\nAnswer: 17082","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35242*z + 35353*z + 5439 = 0 for z.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33059, -132302, -297705, -529268, -826991, -1190874, -1620917?\nAnswer: -2117120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2 - 1 + u + 1 + 10. Let w be b(-6). Let k = -507\/35 + 71\/5. What is the smallest value in 0.3, k, w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(20) + 0)**2 + -2*sqrt(720)*-2.\nAnswer: 20 + 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1771.209 to the nearest 100.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o - 10*o - 8 = 0. Suppose a + o - 3 = 0. Let q(w) = -w**2 + 3*w + 2. Let d be q(3). Calculate the highest common divisor of a and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(6\/7)\/(i\/(i*i**(-2\/29))*i))\/(i*i**5*i\/(i*i\/(i**(-12)\/i*i)*i*i)*i))**(7\/10) assuming i is positive.\nAnswer: i**(1581\/290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s**3 + 11*s**2 + 37*s + 7. Let n(f) = -f**3 + 6*f**2 + 18*f + 3. Let r(b) = -4*l(b) + 7*n(b). What is the hundreds digit of r(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-5*((sqrt(1100) - (-1 + sqrt(1100))) + -3))**2 - (-1 + (5 + -5*(-1 + sqrt(11)))**2 + 4).\nAnswer: -277 + 100*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 88 - 87.515. Let v = -0.5 + y. Let t = v - -0.0149969. Round t to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -730879*v - 5847039. What is g(-8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 4*w**2 - 5*w + 15. Determine y(6).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40079 is divided by 240?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 453, 1804, 4055, 7206, 11257, 16208, 22059?\n\"Answer: 450*f**2 + f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -10*k**3 + 0 + 0*k + 25\/2*k**2 - 5\/2*k**4 = 0.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - 5 - (-9 + -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/8 - (-10)\/(-8). Let x be (i + 0)\/((-4)\/(-24)). What is the common denominator of 40\/7 and ((-16)\/x)\/((-7)\/(-3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*626\nAnswer: -313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 45\/227, 5, 97, -0.2, -4?\nAnswer: 45\/227","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/28)\/(((-21)\/14)\/(-3)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 6:12 PM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1561627 divided by 2.\nAnswer: 1561627\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.08 in -0.1, -0.09, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (44\/96)\/(-1) - (-1)\/8. Let h = -14 + 8. Let f be (-11)\/10 - h\/(-15). What is the second biggest value in -1, f, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2079468669 to the nearest integer?\nAnswer: 45601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*n + n - 160. What is the least common multiple of n and 3?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 243 = -u, -55*u + 58*u - r = 689. Calculate the least common multiple of 21 and u.\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 109.4 + -98. Let b = t - 14. What is b rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 224984\/5 - ((-1344)\/(-70))\/(-16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 246*h**2 - 13269*h - 1011. Calculate w(54).\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 122\/26)\/(3 + -5).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 + 23*d + 3267. What is i(70)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 215 = 5*s - 4*n, n + 135 = 2*s. What is the remainder when 454 is divided by s?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-2)*(26\/96)\/13.\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.128 from -157919390.\nAnswer: -157919390.128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 - 16*m + 16. Let p(w) be the third derivative of w**4\/8 - w**3\/2 - 71*w**2. Let t(q) = -2*d(q) - 11*p(q). What is t(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1379, 1359, 1333, 1307, 1287, 1279, 1289, 1323?\nAnswer: 1387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w**3 + 16*w**4 - 8*w**4 - 6*w**2 + w**4 - 8*w**4 - 2*w to the form q*w**3 + a*w**2 + z*w**4 + h*w + i and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 - -3) + 49 + 28.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 209*i - 284*i - 321*i as x + b*i and give b.\nAnswer: -396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12847493?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*x - 24, 3*x = 5*b + 5. Let -4\/3*t**4 + 4\/3*t**b - 2\/3*t + 0*t**3 + 2\/3*t**5 + 0 = 0. What is t?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 913.85 rounded to the nearest ten?\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-427)\/(-14) - (-15)\/(-6). Let p = -5 + x. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) -4 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -840463500 divided by -57963\nAnswer: 14500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23620 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 76 + 16. Let a be (1 + (-9)\/6)*0. Calculate the remainder when 34 is divided by -2*(a - t)\/(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11.4 and 7038.\nAnswer: -80233.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -61*q**6 - 6*q**2 - 26*q wrt q?\nAnswer: -7320*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/3000 and -139\/4500?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -11, -0.6, 1?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6275.5 - 6275. Which is the biggest value? (a) -256.8 (b) -1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from omoydoiyomxoxox. Give prob of sequence yxx.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*l - 2*l - 2*l)*(1 - 1 + 5*l) - 44 + 24 + 14 - l**2 in the form o*l**2 + w + t*l and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4371996?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16*286\/(-176)*2*1\/(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 400224 (base 9) to base 15.\nAnswer: 4a08a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/45)\/((7*2)\/((-700)\/(-140))).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-8) - (-42)\/(-8). Let t be (96\/15)\/((-2)\/r). Suppose -t = -2*w + j, 0*w + 46 = 3*w + 4*j. Calculate the smallest common multiple of 7 and w.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 209*n**3 + 4 - 67*n**3 - 60*n**3 - 46*n**3 - 58*n**3.\nAnswer: -22*n**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(0 + sqrt(76)\/sqrt(4) - sqrt(19)*2*-5) - (sqrt(57) + sqrt(912) + -2*sqrt(912))\/(sqrt(15)\/(sqrt(45) - sqrt(5))))**2.\nAnswer: 68400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -100.00119 + 100. Round v to four dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*g**3*l**3 - 2153743*g**3*l - 41420*g**2*l**4 + 2*l**2 wrt l.\nAnswer: 18*g**3 - 994080*g**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(9\/2)*l\/(l\/(l*l**(-2\/7))))\/(l**(2\/7))**(4\/11) assuming l is positive.\nAnswer: l**(-445\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -18 + 12 - 4*x + x. Let v(t) = -t**3 - 2*t**2 + 4*t - 1. Let i be v(-3). Let b(m) = -2*m - 5. Calculate i*b(a) + 3*d(a).\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -72367 * -17.7\nAnswer: 1280895.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/5))**(-38\/7))**(1\/30) assuming x is positive.\nAnswer: x**(-38\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*-5*-3*3\/15. Let t = 52 + -44. Suppose -t + 20 = 4*i. Solve -i*y + k = -y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + j - 4. Let i(t) = t**3 - 2*t + 4. Let u = 302 - 302. Let f be i(u). What is p(f)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(-2*sqrt(63))*-6.\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 537720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + -89 + (5 - 4) + -5. Do i and -92 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-34)\/(-663)*-13*6\/4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 66486 + -84?\nAnswer: 66402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2576*c. Let d(a) be the second derivative of -25*a**3\/6 - a - 349. What is -2*b(n) + 207*d(n)?\nAnswer: -23*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/7, -5, -3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w**2 - 5*w - 4. Let m be y(-3). Let d = -615 + 630. What is the third derivative of m*s**2 - d*s**3 - 57 + 57 wrt s?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20510 at least as big as 1333168\/65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 207 and 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/8*(10 - (-2960)\/32). Which is bigger: -14 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, o: 8, j: 1, p: 5}. Give prob of sequence prj.\nAnswer: 25\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/6)\/(1205\/600 - 2). Let j = 52 - q. Let a be 0 - 9\/(-3) - j\/(-12). Sort -1, 2, a.\nAnswer: -1, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5785124945 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1.167 + -126.727\nAnswer: -125.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 957601 a multiple of 1074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1390 - 369 + 676)*(5*g**2 + 2*g**3 - 5*g**2 + 2*g) to d*g**3 + w + n*g**2 + u*g and give d.\nAnswer: 3394","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 7*t**2 - 7*t + 5. Let w be c(5). What is the greatest common divisor of w and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*r + 18*r + 63*r.\nAnswer: 127*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/(-3))\/1*1\/(-14)*-21.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-4))\/1*-2. Let l = -16 - c. List the prime factors of ((-2)\/2)\/(-1) - l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6 - -8 - (1 + -3). Suppose 4*q + 8 = 2*d - 4, -5*q - 21 = -j*d. Which is the second smallest value? (a) -0.3 (b) 0.2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-14) + 16469\/16086)*(-9)\/(-21).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 - 9*g + 15. Calculate the remainder when k(-8) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1434 (base 6) to base 16\nAnswer: 17e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-1) + (715008\/120)\/(-49). Which is the nearest to 2\/7? (a) 2 (b) 3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (10\/14 - 1) + 38\/(-14). Sort y, -4, -1, 0.\nAnswer: -4, y, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/(-2) + -17 + -24. Is ((-162)\/p)\/((-6)\/(-915)) a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2061.96 rounded to the nearest ten?\nAnswer: 2060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(2))**2*-6 - (sqrt(2) - (3 + -2*sqrt(2) - sqrt(2))**2).\nAnswer: -7*sqrt(2) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p. Let u(j) = 2*j - 39. Let t(r) = -11 - 4 + r + 0*r - 3. Let n(y) = 13*t(y) - 6*u(y). Let g = 8 + -6. Determine g*n(i) - 3*b(i).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 1. Let n(h) = h**3 + 8*h**2 - 2*h - 9. Let c(d) = -d**2 + 1. Let s(r) = f*c(r) - n(r). Determine s(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/40 and (-672)\/480 - (-254)\/220.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-2\/37)\/b)\/b)\/(b*b*b*b**(-12\/7)*b))\/((b**(-7\/4)\/b)\/(b\/b**(-4\/3))) assuming b is positive.\nAnswer: b**(2311\/3108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -18784, -18632, -18380, -18028, -17576, -17024, -16372?\n\"Answer: 50*z**2 + 2*z - 18836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11123, 24249, 37377, 50507?\nAnswer: 63639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1))**(-38) assuming h is positive.\nAnswer: h**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1997\/2 + 2\/(-4). Let m = 7001\/7 - k. Is m less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d + 1. Let t be l(3). Suppose -m + 4 = 0, -t*o + m - 4*m = -28. Let k = 180.6 - 181. What is the smallest value in k, 1\/6, o?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1895.5 - 0.107?\nAnswer: -1895.607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 23183299 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2\/4 + 21*n\/4 - 90.\nAnswer: 3*(n - 8)*(n + 15)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 14*n - 23 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1123 + (-6 - 3\/2*(7 - 9)) and 1680.\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -3*o**2. Let s(v) = 34*v. Calculate s(f(z)).\nAnswer: -102*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - z + 619 = -5*l, -3*z + 3*l - 444 = 0. Let h = z - -247. Is 16 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 196673 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 2, 1.9, 113, -4\/11?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of 7\/3*o**3 - 7\/2*o**2 - 1 + 2*o - 1\/2*o**4. Let c(y) = 0. Calculate y.\nAnswer: 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -21, 3, -0.1, -3, -46\/25?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/8 in 1\/3, 3, 0.3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 18 = -6*t. Calculate the remainder when 35 is divided by t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*v**2 - 60 - 178\/3*v.\nAnswer: 2*(v - 90)*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from aladiwiiiwiadadi.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 32\/705 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27899015.\nAnswer: 5, 29, 192407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -33\/2 (b) 33 (c) 5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -115 by -114716.\nAnswer: 115\/114716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 226, 102, -206, -782, -1710, -3074?\nAnswer: -4958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 93, 350, 761, 1314, 1997?\n\"Answer: -2*l**3 + 89*l**2 + 4*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*f + 57*f = 3*w + 31*f - 79, 0*f + 20 = -5*f for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 151.\nAnswer: -604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00066168 to 5 decimal places.\nAnswer: 0.00066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 124366 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 3163798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 12\/14377 and 13\/18298?\nAnswer: 201278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 47120 a multiple of 310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/a**(-31))*a*a**(2\/43)*a)\/(a*a**3)**(-3\/26) assuming a is positive.\nAnswer: a**(-15927\/559)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of z**5\/60 - z**4\/12 + z**3\/2 + z**2. Suppose -4 + 50 = 23*y. Determine o(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(40\/(-14))*12\/(-14).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 331303 + -13201?\nAnswer: 313102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*((-532)\/91 - -6). Let g be 30\/14 - (-12)\/(-6). Sort g, w, 1\/10, -7.\nAnswer: -7, w, 1\/10, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o**4\/3 + 4*o**3\/9 + 68*o**2\/9 + 76*o\/9 + 8\/3 = 0.\nAnswer: -1, -2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.27222 - -0.02778. Which is the nearest to 0.24? (a) 3\/5 (b) 11 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1054312 nanometers to millimeters.\nAnswer: 0.0000001054312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p + 8. Give o(14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 39 and 24.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -4 (b) 605521 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 423026.95878812951 + 0.04149187049. Let y = 423036 - j. Let c = 9 - y. Round c to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*q*w**3 - 11*q*w**2 - 3*q*w + 69*u*w**3 + 3*u*w - 2 wrt w.\nAnswer: -30*q + 414*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(3\/7)\/d)\/(d\/(d\/(d\/d**(-2\/9))))*(d\/(d*d\/d**(-1\/8)))\/d**(-1\/3))**(-48))**(-23) assuming d is positive.\nAnswer: d**(-59938\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of -w**3\/3 + w**2 - w - 1. Let f(q) be the first derivative of n(q). Differentiate f(x) with respect to x.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1.2, 12, -1\/3, 0.1?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -248 - -146. Suppose 441 = 2*p + 61. Let z = p + m. List the prime factors of z.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.45804 plus 4691.42?\nAnswer: 4690.96196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3.048012 and 701?\nAnswer: 697.951988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-17)\/(-5) + (-4)\/10. Suppose -l + a = -0*l, 2*l = 2*t + 12. What is the tens digit of (t + 4)\/((-1)\/(-21))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 + -2)\/(3\/(-453687)). Let u = -252229 - q. Round u to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**7)\/x**4*x**(-7)\/(x*x**7))\/((x**2\/(x*x**(-4)\/x))\/(x**0)**8) assuming x is positive.\nAnswer: x**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -153, -146, -139?\n\"Answer: 7*m - 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7624.228 nanoseconds?\nAnswer: 0.000007624228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 70 + 52 = 0. Let c(v) = 12 - 3*v + 29 - v + 8*v**2 + v**f - 33 - 3*v. Determine c(-9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/19 (b) -1 (c) -5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1244694 is divided by 2598.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37 and 720009381?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -72 and 19150072.\nAnswer: 19150000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3*(0 - 1\/21). Let r = -2\/153 + 161\/612. Let i = 0.25 + -0.75. What is the third biggest value in r, i, c?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8085 = -10*h - 11*h. Is 37\/((-286)\/h + (-6)\/10) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -3722.\nAnswer: 744.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 720312627 divided by 5.\nAnswer: 720312627\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of 64896*q**4 - 416*q**3 + q**2 - 3515*q. Factor p(r).\nAnswer: 2*(624*r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(10)\/sqrt(32) + sqrt(5)) - (-3 + 1 + sqrt(128) + sqrt(2)) - ((sqrt(8) - sqrt(192)\/sqrt(6))\/(sqrt(20)\/(sqrt(30)\/sqrt(6))))**2.\nAnswer: -41*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12600 divided by -72?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*1\/(3\/3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 = 72*g - 572 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 + -9 + 28 + -76.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3.864819 and 8036?\nAnswer: 8032.135181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 244*r + o + 477, 146*r - 151*r = 3*o - 23 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 525 = 5*k, 3*k + 0*s - 315 = -5*s. Calculate the highest common factor of 42 and k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-2) + (-23135)\/610. Let i = p - -26\/61. Calculate the common denominator of (1\/4)\/(1\/31) and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -563*w**2 - 171*w**2 + 177*w**2 in the form u + x*w**2 + v*w and give x.\nAnswer: -557","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*n - 783 = -1196 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -29856*u**4 + 24524 wrt u?\nAnswer: -119424*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -5897743 equal to -5897742?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 9 + 1 = 0. Suppose 0 = 5*g - 4*g. Suppose g*y = 6*y - 18. What is the highest common divisor of y and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 1894 + 833 = 0. Let v = -163 + z. Is 14 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -359384507445 and 0.7?\nAnswer: 359384507445.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 421 divide 1038330824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -4*k - 3830, 15*g = 18*g - 3*k + 3837. Let m = -17 - -8. What is the units digit of m\/(-45) + g\/(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 3*i + 23 = 0, -3*a + 0*a + i + 11 = 0. Solve 4*d + a = -4*n, -n = -4*n for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-63) + 15*6\/140)\/((-26)\/(-91))?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/1026 and 5\/(15\/(-21)) - (-3 - (-269)\/(-72))?\nAnswer: 4104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 12:01 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 2*a**2 + 7*a - 1. Let d = 29 + -26. Let r be p(d). Suppose r = -4*n + 197. What is the highest common divisor of n and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 - 886652019614\nAnswer: -886652019613.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*((f**(3\/25)*f)\/f)\/f*f\/f**(6\/7) assuming f is positive.\nAnswer: f**(46\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -164157?\nAnswer: 1\/54719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from {a: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-828)\/(-184)*8\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {m: 1, x: 2, z: 13, e: 1}.\nAnswer: 39\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2 + (1 + sqrt(32))**2 + 5 + 1.\nAnswer: 8*sqrt(2) + 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22314133 (base 5) to base 9.\nAnswer: -331587","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*d + 77 = 305. Suppose 8*u - 6*u = 0. Suppose f + 3 = 2*h, u*f = -3*f + h + 1. Solve j + 0*y - d*y - f = 0, j + 7 = -5*y for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -2. Let x be (j - 1)*(-4 - -2). Let u = x + 86. Is u a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31664494?\nAnswer: 2, 15832247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 66512488 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p**2 - 70*p - 444. What is b(-33)?\nAnswer: -312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m = 11*m + 270. Let x be (-417)\/(-27) - (-30)\/m. Which is bigger: 16 or x?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14276218?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -154, 3\/7, -2, 0, -3\/14?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(81\/41 + -2). Let i = p + 43. Find the third derivative of 40*k**2 - 3*k**5 - 49*k**2 + 3*k**5 + i*k**6 wrt k.\nAnswer: 240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f - 1. Let y(t) = 3*t + 8. Let j(l) = 5*l + 26. Let c be j(-5). Calculate c*y(w) + 4*o(w).\nAnswer: -w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 336*j = -347*j + 700*j + 102. Let o(r) = -7*r**2 + 2*r + 6. Let g be 10 + (0\/2 - -1). Let w(u) = -13*u**2 + 4*u + 11. Calculate g*o(f) + j*w(f).\nAnswer: f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3*i - 4. Let w be z(-2). Suppose -5*n - w = -12. Let n*u**3 + 10*u + 3*u - 5*u**3 - 7*u + 3*u**2 = 0. What is u?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + 4\/18 + 29716\/414. Solve -12 + q = 12*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c + 14. Let v be r(6). Let y = 6 + -4. Suppose -4*p - v*t = -112, -y*p + 6*t = t - 44. Is p a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -40639*k**5 + 27*k**4 + 6*k - 24*k**4 + 40644*k**5 + (4*k**4 - 4*k**4 - k**4)*(2 + 3*k - 2).\nAnswer: 2*k**5 + 3*k**4 + 6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1162, 2112, 3064, 4018, 4974?\nAnswer: 5932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5845?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -81*x + 5. Let f(m) = 2470*m - 152. Calculate 5*f(y) + 152*v(y).\nAnswer: 38*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2876 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 348948.1 + 0.4\nAnswer: 348948.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 15001 + -84376?\nAnswer: -68375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + k - 6. Let x(h) = 2*h**3 + h**2 - 2*h + 13. Let d(m) = -9*g(m) - 4*x(m). Let i be d(4). What is the units digit of (5 + -2)*i\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -234.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -1. Let s(a) = 49*a + 337. Let b be s(-7). Let j(c) = 8*c**2 - c + 6. Determine b*m(v) - j(v).\nAnswer: -8*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 670664.4ml?\nAnswer: 670.6644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 75062189\/4 or 18765548?\nAnswer: 18765548","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -10. Let n = -0.245 - 1.755. Let k be (4\/14)\/((-42)\/98). Which is the second smallest value? (a) w (b) n (c) k (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28545 divided by -4?\nAnswer: -28545\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/9)\/(-2))\/(4\/12).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-4*sqrt(80)*4)**2 + 1).\nAnswer: -81924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + a - 4. Let i = a + 10. Let z = -6464 + 6464. Solve 3*k - k + i = z for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.22, 3\/10, -5 in ascending order.\nAnswer: -5, -0.22, 3\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do -13802 and -13802 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-2))\/((3 + 2)\/15). Suppose 3*d = i + 17, 2*d - 6 - 10 = 3*i. Sort 0, v, d in increasing order.\nAnswer: 0, v, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32941 is divided by 182.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iaua when four letters picked without replacement from {a: 14, i: 1, u: 2}?\nAnswer: 13\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1334447 or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -1\/2*n**3 - 2*n**2 - 1 - 5\/2*n = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3057284647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-40))\/(327\/(-45) + 7).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 141661009*a**4*h**3 - a**2*h**3 + a**2*h**2 - 2*a**2 - a + 38088*h**2 - 2*h wrt a?\nAnswer: 3399864216*a*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 a when four letters picked without replacement from ggaaagagga.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i**3 - 1191*i**2 - 772*i + 599946. Give v(-594).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 645.\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 p when four letters picked without replacement from {c: 5, p: 14}?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w**(1\/9)\/w))*w*w*w\/(w\/w**(-24))*w**(-3\/13)\/(w**21*w*w))**19 assuming w is positive.\nAnswer: w**(-102524\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -1. What is the units digit of (4 - 2*-29) + s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 53.84 and -102331.\nAnswer: -102277.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h*h*(h**8*h*h)\/h)\/h*h*h**(-4))\/(h**(2\/7))**(1\/27)*(h**(-1\/5)\/h)\/((h**7\/h)\/h)*(h*h\/(h\/h**(-1))*h)**(1\/21) assuming h is positive.\nAnswer: h**(248\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 13*z**3 + 7*z**2 + 13. Let y(o) = 4*o**3 + 2*o**2 + 4. What is 4*b(k) - 14*y(k)?\nAnswer: -4*k**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13005.3629 + 13006. Round u to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11 + 8?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 903 divide 22544298?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -574*q + 1906. Calculate t(-1).\nAnswer: 2480","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 294521 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 4*v - 52 = 0, -4 = -4*a - 5*v + 30. Let l = -3 + 4. Which is smaller: a or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 5) to base 9.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8727 - 5129874157?\nAnswer: -5129882884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4 + (5*((-1*sqrt(114) + sqrt(114) - sqrt(114))\/sqrt(6) - sqrt(931)*1))**2).\nAnswer: 30404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 10 = 3*w, 2*w - 13 = -w + 4*v for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o**2 - 17*o + 56. Let a(g) = 7*g**2 - 35*g + 113. Let s(t) = -2*a(t) + 5*b(t). What is the units digit of s(17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 269447 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - r = c - 77, -c = -5*r - 61. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -1 - (-949 + 925).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6989 is divided by 140?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 14345064.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a hour in minutes?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 12 = 2*j, -4*j + 27*w = 24*w - 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 18aa9 - a?\nAnswer: 18a9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2103 + -16 + 10 + 2.\nAnswer: 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-8)*q*q*q**(-2\/3))\/(q**(4\/7)*(q\/(q**(2\/5)*q))\/q) assuming q is positive.\nAnswer: q**(-613\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-1 - 5) + 3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y + 40. Let a be w(-13). Suppose 4*x + 19 + a = 0. Is -16\/3 less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -16 + 0 + 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 5*t - 4. Let z(h) = -5*h + 3. Let k(g) = 4*y(g) + 5*z(g). Calculate k(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14107919?\nAnswer: 7, 2015417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141096*h = -140933*h + 8639 for h.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-15 - (-167335)\/45)\/((-2)\/(-9))?\nAnswer: 2, 13, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/4 of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 50791?\nAnswer: -4\/50791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-780)\/(-550))\/13*-10\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y + 7. Let i be l(-5). Suppose -i*c - 1 = 27. Let g be (-4)\/c - 78\/(-21). Solve g*q + 7 - 3 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -55, -53, -51, -49, -47, -45?\n\"Answer: 2*w - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.57, 1\/6, -267.4, 2\/11?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 107 - 124 - (3 + -8)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3\/388 + 743\/4268. Which is the biggest value? (a) -22 (b) 0.1 (c) v (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(5\/3)*b**(-2\/25)*b**7*b**(-7) assuming b is positive.\nAnswer: b**(119\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/(46200\/2224) - 7\/(147\/(-24))\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(40\/1)*(-1)\/1?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*a**5*i**3 - 3*a**3*i**3 + 2*a*i**3 - 3*a*i**2 + 4 wrt a.\nAnswer: -80*a**3*i**3 - 18*a*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -237 + 240. Let n be (32\/12)\/(1\/p). Solve -n*f = -4*f + 12 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11021211 + 11011000?\nAnswer: 22102211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -25 - (59 + 51 + -106).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 66*u**2 + 460*u - 261. Determine r(-58).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 7, 4, -4, 276 in decreasing order.\nAnswer: 276, 7, 4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00311148062 to four dps.\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16*80\/(-128))\/(8\/2).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 148 and 814?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (46\/8)\/((-8)\/(-32)). Suppose -i = 3*p - 13, -3*p = -h*i + 21*i - 1. Solve -1 = -p*f + 8 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 220295, 214804, 209323, 203858, 198415, 193000, 187619?\n\"Answer: g**3 - g**2 - 5495*g + 225790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 76, 304, 684, 1216, 1900, 2736, 3724?\n\"Answer: 76*b**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15656 - -15659. What is the nearest to -2 in -3\/7, 0.21, f, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72 and 18231606.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 491951995 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/2152512 and -59\/7104?\nAnswer: 2152512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 26? (a) 7 (b) -99 (c) 2 (d) 2\/5 (e) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 213885 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w - 12*w - 3*q + 303 = 0, -4*w = 2*q - 618. Round w to the nearest 10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 5*k**2 + 2*k - 6. Let v be f(-6). Let m be (-277)\/(-9) + 4\/v. Suppose -12*s + 470 = 98. Calculate the greatest common factor of m and s.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o**4 + 19015*o**3 - 18661610*o**2 + 1097820900*o + 3461931000 = 0. What is o?\nAnswer: -3, 66, 1870","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 4*f**2 - 5*f + 8. Calculate the lowest common multiple of 11 and r(5).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224 = 3*o - 5*a - 127, 109 = o + a. What is the remainder when o is divided by 36 + 0*(3 - 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -58202*f**3 + 9494*f?\nAnswer: -349212*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3*c + 41. Let l be u(-13). Sort 1, l, 5 in decreasing order.\nAnswer: 5, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/33 - 71\/462. Suppose b - 1 = -x - 2, 5*x = -10. Which is smaller: b or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.8 - -0.2. Suppose 3*l + 4*l - 805 = 0. Let r = 1034\/9 - l. Which is the second biggest value? (a) 0.5 (b) r (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -27 + 10 + 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -386256, -772514, -1158772?\nAnswer: -1545030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1230*n - 91691 - 76819 = 0 for n.\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -5*j**3 - 24562840*j**2 - 147376905*j - 221065290 = 0.\nAnswer: -4912562, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1306407779 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttypyttpy. What is prob of sequence ttp?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6610 and 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 3*x + 19, -3*x - 14 = -2*r + r. What is the nearest to r in -2\/5, -0.2, 9?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - -8 - -1 - 795\/(-264))*(-77)\/77?\nAnswer: -1\/88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/16 and -57\/807586.\nAnswer: 6460688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14253440497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148488?\nAnswer: 2, 3, 23, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - 6\/(-3) - 2. Suppose -3*d = 3*k - 9, -m - 5 = -d - 4*k. Suppose -i + 5 = 3*r, 10 = 2*r + 6*i - 2*i. What is the second smallest value in r, d, -0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23641 - -23636. Which is the fifth smallest value? (a) 3 (b) q (c) -1 (d) -632 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 467 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + 4*t**2 + 4*t - 5. Let m be w(4). What is r in -7*r**3 + m*r**3 - 19*r**2 - 4 + 12*r + 7*r**2 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7432062359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 201, 415, 631, 849, 1069?\nAnswer: 1291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*y**2 + 42*y**2 - 27*y**2.\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4607734735 to the nearest integer?\nAnswer: 1664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -99.46 and 134.\nAnswer: -13327.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*z - 4. Let x(m) = -m**3 + 6*m**2 + 5*m - 4. Calculate the remainder when 17\/(-2)*-1*z is divided by x(6).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 26*p**2 + 27*p - 22. Let s be u(25). Solve 5*n - 3*l - s = 0, -5*l - 2 = -n - 8*l for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 700 is divided by 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0143 - 4783190.91767?\nAnswer: -4783190.93197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 95488 + 2503?\nAnswer: 97991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2515*s**2 + 2381 wrt s.\nAnswer: 5030*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -4*q**2 - 39*q - 3. Let p be h(-9). Suppose -p*y + 27*y = 960. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 11*c**3 - 51*c**2 + 121*c + 15. Let w(i) = -4*i**3 + 18*i**2 - 41*i - 5. What is -6*p(a) - 17*w(a)?\nAnswer: 2*a**3 - 29*a - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e37bd4 + -1?\nAnswer: -e37bd5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -26 - -48 - (2 - (-5 + 3 - -4))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + 44*j**2 - 46*j + 94. Determine p(43).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -192 divided by 6184.\nAnswer: -24\/773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 207\/19 - 957\/87?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + -12 - -1 - (1 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 275336621?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 12:36 PM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 115, 2, 0.5, -3 in decreasing order.\nAnswer: 115, 2, 0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 2, -2, 10 in descending order.\nAnswer: 10, 2, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of -j**4\/4 + 7*j**3\/3 + 6*j**2 - 10*j - 2. Suppose -5*l - 2*y + 38 = 0, -2*y - 20 = -2*l + 2*y. What is the tens digit of a(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**2 - 31*c**2 + 14*c**2.\nAnswer: -16*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30 - 16. Let n = 10 + c. What are the prime factors of -5 + 3 + 2 + n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 5:47 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**3 - 3*l**3 + 3*l**3 - l**3 + 3*l**3 - l**3 + (3*l**3 - 5*l**3 + 0*l**3)*(-4 + 1 + 0 + (0 + 1 + 0)*(0 - 2 + 3) + 3 + 0 - 1 + 1 + 0 - 3).\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -92 + 87. Let j(z) = 5*z**2 + 2*z + 1. Let i be j(-1). Let x be i - (-3 - (2 + -5)). Sort x, b, -3 in descending order.\nAnswer: x, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180954?\nAnswer: 2, 3, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 4 + (1*3*sqrt(75) - (0 + 0 + sqrt(75)))**2.\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 429 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 3 = h. Suppose 6*u = h*u + 15. Suppose 2*p - 3 = u. Solve -p*o + 1 = -3*x - 8, 4*x = -2*o - 12 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 11*w**2 - 3383*w + 37185. Determine b(11).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110100 - -100?\nAnswer: -110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -294687 and -294697 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 18 = -2*p - 0*n, 4*p = 2*n + 16 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -172*h + 300*h + 905 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 328ed5 - 5?\nAnswer: 328ed0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - 17*o**2 + 55*o + 1121. Calculate m(-16).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -3*l**4 - 2600334*l**3 - 563433868551*l**2 + 19159006079268*l - 162857939644812 = 0?\nAnswer: -433406, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3280 and 5248?\nAnswer: 26240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 20*u - 143. Let g be i(7). Sort -4, -5, g, 5 in increasing order.\nAnswer: -5, -4, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36891919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 24165, 41880, 59595, 77310, 95025?\n\"Answer: 17715*x + 6450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 263*r - 119384 = -109916 for r.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.4757 and -0.17?\nAnswer: -0.420869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 19*r**2 + 9*r - 14. Let q be a(6). Suppose 531 = 9*d - 6*d + 3*p, -4*p - q = -4*d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*f + 24*f + 1980. Which is smaller: 2\/3 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 7*f**2 + 7*f + 6. Let z be d(-6). Which is the nearest to 1? (a) 1\/7 (b) -3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/10*132\/55.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyn when three letters picked without replacement from dyykyjdjnjkykybyy.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 114*l - 115*l + 32. What is the highest common factor of 16 and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2. Let g(u) = 32*u. Let a(m) = m. Let p = 71 - 47. Let k(q) = p*a(q) - g(q). Give s(k(b)).\nAnswer: -64*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13881 - -13922. Is -100 > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-10))**(1\/5)\/(o**13\/o**(-3)) assuming o is positive.\nAnswer: o**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*z + 3*z. Solve -a = z*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49086029 rounded to the nearest 10000?\nAnswer: 49090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 441554537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*n - 9. What is the first derivative of -10*s**n - 1 - 2*s**3 - s**3 + s**3 wrt s?\nAnswer: -36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -448*u**2 + 910*u**2 - 458*u**2.\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 596 is divided by 199?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**2 - 3*d + 0*d - 10*d**3 + 7*d - 5*d. Let u = -1 - 0. Calculate v(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t + 0*t + 1 + 4. Suppose -o = 4*p + 14, -29*o + 34*o = -4*p + 10. Give b(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -179065, -716294, -1611677, -2865214?\nAnswer: -4476905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4703 + 51691\/11. Let c = 365\/8 + -1853\/40. Find the common denominator of c and u.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w + 7. Let t(u) = 3*u - 22. Let f(l) = 7*s(l) + 2*t(l). Let n be f(-5). Let d be -2 + 5\/(n\/28). What is the highest common divisor of 36 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -4*x + 1, 0 = x - p - 4*p + 17. Suppose -162 - 773 = -187*y. Put x, 6, -5, y in increasing order.\nAnswer: -5, x, y, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1)**(-1\/13)\/(g**(2\/5))**50 assuming g is positive.\nAnswer: g**(-261\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g**3 + 3230*g**2 + 394485*g - 43332660 = 0.\nAnswer: -357, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, y: 1, g: 1, l: 2, w: 1, d: 2}. What is prob of sequence ldd?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -100, -904, -3086, -7336, -14344, -24800, -39394, -58816?\nAnswer: -83756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**5 - 9*z**5 + 2*z**5 + (3 - 2*z**3 - 3)*(z**2 + 2*z**2 - z**2) + (-z**2 + 3*z**2 + 2*z**2)*(4*z**3 - 3*z**3 + z**3) - 3*z**5 + 2*z**4 - 2*z**4.\nAnswer: -4*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -79485, -79662, -79839, -80016, -80193, -80370?\n\"Answer: -177*a - 79308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -24 + 24 + 12*z in the form y + f*z and give f.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 123360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 6149*p + 6124. Let r be y(-1). Let l = 36893\/6 + -6173. Does l = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 2:06 AM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1362297812+-3394\nAnswer: 1362294418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*r + 27*r + 3551 = 39*r - 1055 for r.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2233 rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (3282 - 3138)\/((-18)\/4)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and 1488.\nAnswer: 1491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(684) + sqrt(684) + -5)**2.\nAnswer: -96*sqrt(19) + 2752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (-18 - -4 - -8) - -7.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, k: 1, h: 4, p: 1, r: 8}. What is prob of sequence tprk?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 c when two letters picked without replacement from wbiqcqqiqiqnb?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirty-four fifths of a kilometer?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -32034*c**2 + 4*c - 1. Let k be h(-4). Let s = 312561 + k. What is s rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, v: 2, i: 3}. Give prob of sequence vx.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 97359675?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -u - u. Let o = u + -11. Let c be ((-1)\/(-2))\/(2\/(-12)). Sort o, -4, c in decreasing order.\nAnswer: c, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -308.077 - -308. Let k = t + 0.177. Which is the second smallest value? (a) 9 (b) k (c) -1\/7 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**(-5)*m)\/m)**(-2\/3))**(1\/24) assuming m is positive.\nAnswer: m**(-1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, 5, 1\/5, -0.4, -5\/13.\nAnswer: -0.4, -5\/13, -2\/15, 1\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 113 = -21*y - 126. Which is the biggest value? (a) y (b) 60 (c) -2\/9 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -p**7\/168 - 5*p**6\/72 - p**5\/8 + 19*p**4\/12 - 4*p - 5. Let s(d) be the third derivative of f(d). Factor s(q).\nAnswer: -5*(q + 3)*(3*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*j - x - 0*x, 3*x = 0. Find the third derivative of 0*z**4 - j*z**4 + 5*z**2 + 3*z**4 - z**2 wrt z.\nAnswer: -48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 755505.\nAnswer: 3, 5, 103, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5*1 - (-3 + 6). Suppose 2*d - 3*d - h*p = -8, 0 = -3*d - 4*p + 22. Find the second derivative of -d*w**2 + 2*w - 5*w**2 + 6*w + 5*w**2 wrt w.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 7*w**2 - 7*w + 7. Let x be i(6). Let y be (-3)\/(-30)*5*4\/(-14). Are x and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 459758152?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 minus 2872?\nAnswer: -2913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 169 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = -2*z + 77. List the prime factors of z.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3708)\/10)\/((-30)\/100) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1865 - 851. Suppose -15*s - x = -21*s. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*m - 51*m - 69 = 41*m. Sort 5, -58, m in descending order.\nAnswer: 5, m, -58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -389, -698, -889, -956, -893, -694, -353?\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 140 - 408.5. Let l = j - -268. Which is the closest to -2? (a) l (b) -0.1 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*o**3 + 18*o + 190?\nAnswer: -6*o**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g, 1 n, and 1 c when four letters picked without replacement from {g: 5, f: 5, d: 1, c: 1, n: 5, m: 2}?\nAnswer: 25\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12 - 6)*1\/3. Suppose -d = t*d. Suppose -4*g + d*j - 2*j = -92, -2*j + 8 = 0. What is the greatest common factor of 168 and g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -362833 - -362855. Let x(i) = 20*i**3 - 29*i**2 - 7*i - 9. Let y(p) = -7*p**3 + 10*p**2 + 2*p + 3. Let b(t) = 6*x(t) + 17*y(t). Let s be b(6). Is s < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 98 - 122. List the prime factors of i.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 + 70*l - 278. Is 3 a factor of p(-82)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 287\/(41\/(-1))*10*4\/4?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 833425 to the nearest integer?\nAnswer: 913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**4 - 2*z**3 + 2*z - 42. Let b(i) = 3*i**4 - 126 + 0*i**4 + 10*i - 2*i - 7*i**3 - i. Let y(d) = -2*b(d) + 7*t(d). Differentiate y(l) wrt l.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qs when two letters picked without replacement from {s: 4, x: 1, t: 7, q: 1}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -27552, -27539, -27526, -27519, -27524, -27547, -27594, -27671?\n\"Answer: -c**3 + 6*c**2 + 2*c - 27559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a tonne in kilograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -198.990016 + 199. Let y = 0.01 - m. What is y rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -2*w - 4, 19 = -0*w + 3*w + 2*r. Which is the closest to -1\/2? (a) w (b) -5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 630007 and 434.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-180*(-95)\/114)\/(21\/(-7))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 8:53 AM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2773\/6 + -461. Let h = d + -11\/6. Let m = 6074\/23 + -264. What is the third biggest value in m, -4, h?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of -m**4\/6 + m**3\/2 + 9*m**2\/2 - 22*m. Let z(t) be the first derivative of p(t). What is z(6)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -w - 18. Let y = -28 - w. Sort y, -3, -0.4, -4 in decreasing order.\nAnswer: -0.4, -3, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1735 + 15613\/9. Sort 0.1, 6, 7\/4, n.\nAnswer: n, 0.1, 7\/4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 48748 by 12187.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-14) - (-6)\/28. Let i = 6.7 - 7. Let f be ((-4)\/(-55))\/(8\/(-20)). Which is the nearest to r? (a) f (b) -0.5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*v - 32*v - 75 = 0. Let w(d) = -152*d - 721. Let z be w(-5). Calculate the highest common factor of z and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -8, 1, 3\/8, 2?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.03672308 + -0.03713. What is x rounded to six decimal places?\nAnswer: -0.000407","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -12*q + 6 - 1 + q**2 + 0*q + 19*q. Calculate i(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 135 = 5*q. Suppose 2*w + w = q. Solve -r + w = 2*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -541 + 233. Let i = n + 690. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1164059 = 3*n + 2*a, 249 - 253 = -4*a. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 15 + 7. Let p = -6381 - -6384. What is the smallest common multiple of t and p?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 5*a - 11*a)*(-5 + 1 + 2)*(93*a**4 + 3*a**2 + 2*a**2 - 95*a**4).\nAnswer: -16*a**5 + 40*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 27 + 20*x + 17*x + 23*x**2 - 14*x + x**3. Let o be u(-22). What is the hundreds digit of 2\/o - (-68)\/(-20) - -141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -442 + 665. List the prime factors of i.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -108 by 64.\nAnswer: -27\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bttbbtwtwtbb. Give prob of sequence bbt.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 198 and 11754?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8045, -8140, -8281, -8492, -8797?\nAnswer: -9220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -24*b - 28. Let z(q) = q + 1. What is -2*n(w) - 56*z(w)?\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6215 divided by 11?\nAnswer: 565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 22100022211 (base 3) in base 4?\nAnswer: 220012213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1)*(1 - 4 + 5)*(0 - 3 + 5)*(-2*q - q - q)*(3 - 19 - 19).\nAnswer: -560*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208 is divided by 31?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + 10*d - 19. Let t be x(-12). Let f = -96 - -80.1. Let m = 16 + f. What is the second biggest value in -2, t, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.31 + 1.31. Sort 0.03, 0, c, -0.1.\nAnswer: c, -0.1, 0, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -43*a - 5. Let c(u) = -1140*u - 133. Suppose -x - 129 = 2*t, 191*t = -4*x + 190*t - 530. Determine x*y(k) + 5*c(k).\nAnswer: 19*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*a = -13*a - 230 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 8*v**3\/3 - 39622*v**2\/9 - 82646*v\/9 - 2204\/3 = 0.\nAnswer: -2, -1\/12, 1653","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 17256952 a multiple of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/(-429))\/(-11*4\/(-264)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 230988.8, -5, 0.07 in decreasing order.\nAnswer: 230988.8, 0.07, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -7*y**2 - y. Let n(a) = 33*a**2 - 19*a - 17. What is -4*j(w) - n(w)?\nAnswer: -5*w**2 + 23*w + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14354 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6934, 6928, 6920, 6910, 6898?\n\"Answer: -v**2 - 3*v + 6938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 5:28 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g - 161. Let f be k(-19). Let h = 291 + f. Does 6 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(-3)*3\/(-6). Let y(b) = -b**3 - b**2 + b + 3. Let t be y(k). Suppose -t*q + 447 = -2*c, -5*q - 246 = -4*c - 991. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (4\/(-110))\/(64\/640) and ((-1)\/(-6))\/(2\/(-219)).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 76 - 55. Suppose 12*s = h*s - 1206. What are the prime factors of s?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 200.2 to the nearest ten.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(-4) + 5 + 0. Let a = z - -3. Let r(u) = 7*u - 8. Let l(g) = 9*g - 10. Let j(o) = -4*l(o) + 5*r(o). Give j(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 898.603 minus -0.5?\nAnswer: 899.103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.024333l to millilitres.\nAnswer: 3024.333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243 is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from {l: 4, k: 6}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 2288352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37 - -38. Let y be (0\/(-4))\/(2\/(-2)). Solve y = -m + 2 + k for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 6.783?\nAnswer: -5.217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 5. Let a(i) = -6*i**2 - 15*i + 1. Let t = 66 - 62. Let u(j) = -5*j**2 - 14*j. Let y(b) = t*a(b) - 5*u(b). Determine y(m).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-42)*45*(4\/(-3))\/(1400\/(-60))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32 - -8. Let s = -38.99 + r. Let d = -1 + s. Round d to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -9, -2 - 7 = 2*j - 5*i. Suppose -3*a + 73 = 2*g - 0*g, 5*a + j*g = 121. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*2 + (-2 - -4). Suppose -5*l + 80 + 70 = p. What are the prime factors of l?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3230*f**4 + 222*f**3 - 116*f**3 - 2485 + 384 - 106*f**3 with respect to f.\nAnswer: 12920*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 3:26 AM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.06 + 0.08. Let y = l + 0.05. Which is the closest to y? (a) -2\/3 (b) 2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 928497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2210*v**2 - v**3 + 80 + 2210*v**2 + (-4*v + 48*v + 0*v)*(4*v**2 - 5*v**2 + 3*v**2).\nAnswer: 87*v**3 + 80","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -75 + 57. Let j(u) = u**2 + 15*u + 16. Is 14 a factor of j(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 867, 1073, 1267, 1443, 1595, 1717, 1803, 1847?\nAnswer: 1843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-5126)\/5592*(-6)\/(-33)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.03 and 16338914.\nAnswer: 16338914.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**3*j - 10*f**3 - 1221*f**2*j**2 - 94*f*j - 2*j**2 - 3*j - 33 wrt f?\nAnswer: 6*f*j - 60*f - 2442*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 - 0. Let k = i - -15.1. Let g be (2\/7)\/(3\/7). Is k bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -6. Let o = 1 + -1.5. Let f = -0.8 - o. Sort -2\/9, f, q in decreasing order.\nAnswer: -2\/9, f, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-19)\/(-8) + -2)\/(-3). Let j(y) = 3*y**2 - 1. Let m be j(-1). Let v be ((-2)\/8)\/(m\/(-6)). Which is the closest to -2? (a) h (b) v (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 6*t**2 + 4*t + 3. Let p be b(-1). Suppose 18 = -p*d + 8. Let o(w) = 7*w + 1. Let i(q) = -13*q - 2. Let k(j) = 6*i(j) + 11*o(j). Determine k(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 5:05 AM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -3*p**2 + 194. Let r(f) = -13*f. Calculate r(o(m)).\nAnswer: 39*m**2 - 2522","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -40341332 (base 5) in base 15?\nAnswer: -66297","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 667481.\nAnswer: 503, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of u**7\/1260 - u**6\/180 + u**5\/60 + 7*u**4\/8 + 33*u**2. Let q(c) be the second derivative of i(c). Let q(m) = 0. What is m?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 278228 + 8\nAnswer: 278236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 + -0.10903?\nAnswer: 148.89097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8585 + 12518. Is 69 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -370.5 or 32?\nAnswer: -370.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8213 + 18?\nAnswer: 822b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m**2 + 2*m - 2. Let o be j(1). What is the remainder when 45 is divided by (11 - 13)*(o + 19\/(-2))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -64af?\nAnswer: -64aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qaaqqq. What is prob of sequence aaq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 + -20. Suppose 0 = -4*g + 2*i + 12, 2*g = a*i + 6 - 0. Find the second derivative of h + 5*h**5 + 41*h**g - 5*h - 41*h**3 wrt h.\nAnswer: 100*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h - 6. What is g(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 14*u**2 - 12*u - 8. Suppose 7*q - 13 = 6*q. Let v = 2 + q. What is the units digit of m(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 136931*d**2\/3 + 137033*d\/3 + 34 = 0.\nAnswer: -1, -102\/136931","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/(-6))\/((-11)\/2). Let s = m + -95\/132. Let w = -714 + 709. What is the second biggest value in 2, w, s, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5818, 46523, 156972, 372037, 726590, 1255503, 1993648?\nAnswer: 2975897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 22*j**2. Let x(o) = -10*o**2. What is i(x(y))?\nAnswer: 2200*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3 - -5 - -3) + 2 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1615 and 1036830?\nAnswer: 1615","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37029\/14 + 2641. What is the common denominator of (-6)\/(-33) - 507\/(-660) and y?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(7*(-22)\/(-28)))\/(2\/(-3)).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 175 = -171. Which is smaller: a or -27\/256?\nAnswer: -27\/256","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13223030322 (base 4) in base 11?\nAnswer: -1154687","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 4498 = 4582. Let v = m + 3053. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8637793?\nAnswer: 2243, 3851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**2 + 5*c**3 - 1879427060 + 7*c**2 + 0*c**3 + 1879427060 - 8*c**2.\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 13\/(-3) + (-6)\/(-18) + -1. Let a = 5 - 7. Let o = -1332 + 1331.8. What is the nearest to a in o, 2, u?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((2 + (sqrt(300) + -2 - sqrt(300)) + sqrt(300) - sqrt(300)) + -2*-3*sqrt(300) - (3*sqrt(300)*6 - (2 + sqrt(300) + -3))))**2.\nAnswer: 880*sqrt(3) + 145204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/457 and 89\/22?\nAnswer: 10054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-3)*(-213)\/1846.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 24738089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 258*a + 2 - 2*a**2 + 313*a - 2 - 184*a + 1.\nAnswer: -2*a**2 + 387*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 5, 1, -4 in descending order.\nAnswer: 5, 1, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 225, 207, 163, 81, -51?\n\"Answer: -2*b**3 - b**2 - b + 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*j - 92*j - 88 = 0. Suppose j*s - 2*s = -c + 3, -2*c = 5*s - 10. What is the greatest common divisor of 50 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 56378?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 55 + -40. Let s = z + 18. Let r = 33 - s. Which is the nearest to -7? (a) -0.2 (b) r (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 391 + 194 = 15*r. Solve 0 = 8*n - 7 + r for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -40 in -2, -9, -0.2, 0.03, 2?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) - sqrt(294)*-5)\/sqrt(675).\nAnswer: 12*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111152097.\nAnswer: 3, 7, 1764319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 4, 0.2, 0.3, -0.2 in decreasing order.\nAnswer: 6, 4, 0.3, 0.2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 9*t**2 + 3*t + 43. Let b be j(8). Factor -k**b + 0*k**3 - 15*k + 3*k - 10*k**2 + 72.\nAnswer: -(k - 2)*(k + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {i: 1, r: 2, h: 4, l: 3}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -58492560 divided by -2924628?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*g + 838*g = -1181*g - 19251 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l + 8*l = -40. What is the greatest common divisor of l and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0 (b) -0.097 (c) -4 (d) 42\/5 (e) -7 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32.3 + -35. Let s = u + -0.3. Suppose -2*m - 4 = 2*m. Which is the closest to 0.1? (a) -2\/11 (b) s (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58518, 58475, 58402, 58299, 58166, 58003, 57810?\nAnswer: 57587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/9*3\/61. Let u = r - 1277\/366. Find the common denominator of u and (118\/(-18) - -1) + 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1380, -5918, -13618, -24480, -38504, -55690?\nAnswer: -76038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + -13. Suppose 0*v = -x - v - 51, d*v = -4. Is x < -50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*w - 22*w - 18*w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 184 and 621?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -z - 26, 2*k + 38*z - 68 = 24*z. Solve -w = 10*a - 14*a - 21, 4*w = -2*a - k for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 4 + 3*b - 2*b - 3. Let z = -114584 - -114590. Let p(d) = 5*d**2 + 8*d + 6. Determine z*u(o) - p(o).\nAnswer: -5*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/13896 and -8\/21.\nAnswer: 97272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of y**4\/4 - y**3 + y + 235. What is z(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(-44)\/(-18)*78\/143?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v + 5*d + 53 - 23, 5*d = -2*v - 18 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 2637920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 459319303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3\/8)\/h**(4\/7)*(h\/(h\/h**(-1)*h))**(-23))**(-16) assuming h is positive.\nAnswer: h**(-5046\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/1862)\/(80\/210)*-4?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - -2) + -3 + 264. Let v = m - 182. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3 - 2*d - 2*d + 294407*d**2 + 2*d - 294404*d**2. Let p(g) = 1. Give -l(h) + 6*p(h).\nAnswer: -3*h**2 + 2*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33 and 42733.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 236384619 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2. Let b(p) be the second derivative of 1\/6*p**3 + 0 + 5*p + 0*p**2. What is b(x(c))?\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 207.06447 to 1 dp.\nAnswer: 207.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*d + 171*d = 2*j - 26, -4*j + 2*d = -22 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25577143.\nAnswer: 25577143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 600, -51, -1 in decreasing order.\nAnswer: 600, -1, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 138 + -132. Suppose -g + 2*p = 4*p + u, 3*p = -g - 10. Solve 4*b - f - g + 3 = 0, 0 = 3*b + 2*f - 13 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 194630784 and 2784?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -3, -21, 68, -5, -7 in increasing order.\nAnswer: -21, -7, -5, -4, -3, 5, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 919854?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 25766 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.5 (b) -2\/11 (c) -3\/73\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.33 - -0.3. Let p = 2.88 - -2.15. Let x = v + p. Which is greater: x or -0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3*n + 2)*(3 - 6 + 1) + 3*n + 4*n - 5*n + 3*n + 2*n - 3*n + 3 + 0 + 2*n - 4 + (-1 + 4 - 1)*(-3*n + 0*n + 5*n).\nAnswer: 16*n - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 divided by 20?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 11 - (-34 + 25) - (9 + -4).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -397.32 or -79?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 64*n**2 - 182*n + 79. Suppose 0 = -3*p - 2*p + 170. What is the remainder when p is divided by f(-61)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 3.9. Let v = u + -2.3. Round v to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*q - 21*q - 3*a - 23 = 0, a + 5 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 29*n + 4. Let g = 119 - 118. Let s(a) = -a - 2. Let c(h) = g*w(h) + 2*s(h). Let k(j) = -4*j**2. What is c(k(t))?\nAnswer: -108*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 - 12*s**2 - 13*s - 10. Let u be p(-11). Suppose -6*n - 396 = -u*n. What is the remainder when 126 is divided by n?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h + 3*h - 12*h**2 - 1 to the form w*h + c + i*h**2 and give i.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-20)*76\/114?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 109*i. Let g(z) = -12*z. Determine g(s(k)).\nAnswer: -1308*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3094693203 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1321.85 rounded to the nearest ten?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 6*d - 10. Let i(w) = 6*w + d - 817*w**2 + 800*w**2 + 7*w. Let c(x) = 4*x**2 - 3*x - 1. What is -9*c(t) - 2*i(t)?\nAnswer: -2*t**2 + t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b*r**2*v**2 - b*v**2 + b*v - 2*b + 8*r**2*v**2 + 2*r**2*v + 24*r**2 wrt v?\nAnswer: 4*b*r**2 - 2*b + 16*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6495 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -13 - -30.724\nAnswer: 17.724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13450595?\nAnswer: 5, 71, 37889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*k**4 - 7896*k**3 - 3450*k**2 + 3896*k - 648 = 0.\nAnswer: -1, 2\/7, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -20, -24*p + 3*g = -28*p + 2380. Calculate the greatest common factor of 80 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1121 - -1124. What is the closest to -0.1 in 0.2, 1\/3, -28, l?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 f when two letters picked without replacement from feeceeeeefceece?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 1187 = -1937. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 r when four letters picked without replacement from {g: 2, r: 5, f: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*g - 7*g + 6 + 0*g - 3*g wrt g?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_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: Calculate (-3)\/8 + 19771\/2312 + (-116 - -108).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -43087.172 to the nearest one hundred.\nAnswer: -43100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8138, -3, -489 in decreasing order.\nAnswer: -3, -489, -8138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42.958 + -0.042. Let w = k - -59. Let l = 15.6 - w. Which is the closest to 2\/3? (a) l (b) -1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 462*i - 4169. Let j be z(9). Which is the fourth smallest value? (a) 2 (b) 0.06 (c) -3\/5 (d) j (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-20)\/6*60\/(-50). Let m be 21*2\/(-12)*r. Is -15 < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - l - 103 = 0, -f - l + 301 = 260. Solve 0 = -f*c + 39*c + a - 17, 0 = -3*c - 2*a + 19 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 22, -1\/138, -4, -0.1, 13?\nAnswer: -1\/138","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 305343485 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*u + 12122 = 2252. Let v = u - -326. Let c(k) = k - 3*k + k. Determine c(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 2 (b) -7.63 (c) -7 (d) 5 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -167*x + 3474. Let u be h(21). Which is the nearest to -3\/7? (a) u (b) -5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 54\/5, -5\/211, -5, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 8:29 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(99) + -1 + sqrt(99))*3 + 6*(sqrt(99) + -1) + 4)**2*2.\nAnswer: -288*sqrt(11) + 28520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of 0*n**4 + 0*n + n**2 + 0 + 0*n**3 + 1\/60*n**5. Let w(p) = 2*p**2. Calculate w(c(g)).\nAnswer: 2*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, b: 3, d: 3, y: 3, q: 10}. What is prob of picking 1 b, 1 q, and 1 h?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 7. Suppose 0*r - r - 3*f = 11, 4*f = -20. Suppose -x + r*x - q = 0. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/8 (b) 1 (c) 2\/121 (d) 0.3 (e) -6 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.5 - -1.5. Let i = 1.09 + 0.01. Let s = i - o. Which is the third smallest value? (a) 2 (b) -5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11550644.\nAnswer: 2, 7, 73, 5651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14504894227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 248*r + 3779*r = 628*r - 67980 for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 15 = -z. Solve z*p - 4 = p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5766700 rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 17*10*(235\/15 - 16)*3\/5\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 30*j**2 + 9*j + 99. What is the hundreds digit of d(30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 5, 194, -1, 11.\nAnswer: -1, 5, 8, 11, 194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -230 by 5.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -520.754 - -525.9. Let l = 0.146 - k. Which is the smallest value? (a) l (b) -41 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 3 (b) 0 (c) 1\/4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 20*y**5 + 88*y**4 - 508*y**3 - 1616*y**2 + 3440*y + 1600 = 0.\nAnswer: -5, -2\/5, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14860, -31431, -48002?\nAnswer: -64573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1471\/(-4))\/(3\/(-72)*3)?\nAnswer: 2, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -887 or -3\/49726?\nAnswer: -887","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -18 (b) -2\/5 (c) 0 (d) -2\/23 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 6*p**2 + 8*p + 4. Let y be 1 - (2 - 3)*2. Let k(v) = 5*v**2 + 10*v + 6. Let r(t) = y*h(t) - 2*k(t). Let n(z) = 3*z**2. Calculate r(n(i)).\nAnswer: 72*i**4 + 12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 42\/5 of a millisecond?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 41*x - 1001. Calculate the remainder when 910 is divided by l(29).\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1447 and 24409443?\nAnswer: 1447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxmxmyyxxyxxxxyxyyoy. Give prob of sequence ymo.\nAnswer: 7\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, 5038, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10 + 2 + -23 + 18940?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 252*j + 334?\nAnswer: 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 590\/(-6) - (-1 + 2\/3). Let v = -85 - p. What is the highest common factor of 91 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/((-33)\/((-128535)\/760))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 192302.8838.\nAnswer: 192296.8838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10702*t**2 + 2*t + 1153 wrt t?\nAnswer: -21404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = b - 12. Let y be (b\/4)\/(99\/(-88)). Solve -14\/3*n**3 + y*n - 10\/3*n**2 + 0 = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 - 17*b - 56. What is n(20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -358\/7 or -51?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + 1. Solve -r = -2*l, l - 6 = 5*k - 3*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o**4\/3 - 1658*o**3\/3 - 2660*o**2\/3 + 2384*o\/3 + 640 = 0. What is o?\nAnswer: -2, -4\/7, 1, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9941 + 431171*t**3 - 9941.\nAnswer: 431171*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*i - 9*i + 2 = -10*i - 13*i, 3*i = h - 1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3846, 7568, 11290, 15012?\nAnswer: 18734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -15*d - 1. Let l(x) = 174*x + 15. Let j(h) = l(h) + 12*u(h). Let b(r) = r + 1. Suppose 5*z = z - 4. Give z*b(s) + j(s).\nAnswer: -7*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -3*j**3 + 7*j**2 - 430*j. Let o(u) = -u**3 + 3*u**2 - 214*u. What is -3*i(y) + 7*o(y)?\nAnswer: 2*y**3 - 208*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 7:36 PM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86940838 is divided by 12259?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -4*y - 1, 4 = -f + 2*y + 7 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 183359 divided by -3\nAnswer: -183359\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do 8 and 2\/18967 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29 and 551?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -535449, -535495, -535553, -535629, -535729, -535859, -536025, -536233?\nAnswer: -536489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1314420 divided by -10\nAnswer: 131442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 292 and 80?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of -5\/8*b**4 + 0*b**3 + 24*b**2 - 1\/20*b**5 + 0 + 0*b. Let l(g) = 0. What is g?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = 5*m - 5*w, -9*m + 30*m + w - 3*w = -267 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1011, 3, -3, -32 in descending order.\nAnswer: 3, -3, -32, -1011","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of -11*q**6\/120 + 5*q**3\/3 + 14*q**2. Find the first derivative of v(c) wrt c.\nAnswer: -33*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -5*f**3\/6 - f**2\/2 - 2*f + 4. Let m(v) be the first derivative of s(v). Let x be m(-4). Is 19 at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10401?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 250*x - 3. Let o be m(9). Suppose 4*v = o - 83. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 1:22 PM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -111, -108, -97, -72, -27, 44, 147?\nAnswer: 288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 4\/(24\/282)*8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j = 2*j + 366. Let m = 73 - j. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4125 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1052213\/1269279 + 9\/12821. Let s = 2128723\/55 + -38703. Find the common denominator of s and a.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 10) to base 9\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*i - 0*j + 3*j, 0 = -4*i + 4*j. Let y(q) = q**2. Let u(b) = 5*b**2 - 13*b + 3. Let a(z) = i*y(z) - u(z). Is a(6) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1073.0154 months to years.\nAnswer: 89.41795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 109151812, 109151814, 109151816?\nAnswer: 109151818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/18*(-78)\/(-104) - 8\/15. Let f(l) be the first derivative of -3\/5*l**2 + 8\/5*l - 17 - y*l**3. Determine u, given that f(u) = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205.690802 < 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r**4\/3 + 80*r**3\/3 - 260*r**2\/3 - 640*r - 528 = 0. What is r?\nAnswer: -22, -3, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence grg when three letters picked without replacement from {i: 4, r: 3, g: 10, l: 3}.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 3*i. Let z(c) be the second derivative of 0*c**2 - 1\/60*c**5 + i + 0*c**3 - 1\/36*c**4 - 2*c. Determine h, given that z(h) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -27, -344 in decreasing order.\nAnswer: 0.1, -27, -344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 0, 7, 12, 15?\n\"Answer: -z**2 + 10*z - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 201*x**2 + 5*x - 7. Does 30 divide p(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295 is divided by 87?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-120)\/66 + 2 + (-4)\/22.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - -2)*(-1 - -12). Suppose 0 = 2*a - w + 3. Let k(s) = 7*s - 4 + 3*s**2 - 4*s**2 - 2. Calculate k(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 274790 is divided by 136885.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -524\/5 in -3, -0.2, 2\/13, 1\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4303140000 (base 5) to base 8\nAnswer: -42362113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*f**5\/2 - 8973*f**4\/8 - 37419*f**3\/8 + 7231*f**2\/4 + 5958*f + 612 = 0.\nAnswer: -4, -1, -3\/28, 6\/5, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 20 = -0*p - 3*n, -4*p = -4*n - 64. Calculate the greatest common factor of 136 and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.538 * -0.4.\nAnswer: -0.2152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s - 10. Let y be q(14). Let f(d) = 14*d**3 - d. Let a be f(1). Let b = a - y. Put 5, b, 3 in increasing order.\nAnswer: b, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1964 + -1958. Let y(b) be the first derivative of 0*b**2 + 7 + 0*b + 0*b**4 + 5\/3*b**3 - 7\/6*b**d + 0*b**5. Find the third derivative of y(a) wrt a.\nAnswer: -420*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4, 20, 56, 118, 212, 344, 520?\n\"Answer: x**3 + 4*x**2 - 3*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 e, and 1 j when three letters picked without replacement from cjnencnn?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197*i - 229*i - 502 = 266 for i.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*-3 + -3*sqrt(1872))**2 + ((1*sqrt(13))**2*-2 - (sqrt(13) + sqrt(91)\/(sqrt(28)\/sqrt(4)) + sqrt(13))).\nAnswer: -3*sqrt(13) + 26299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 3*w - 2*w)*(2*w + 2 - 2) - 26*w**2 + 12*w**2 + 25*w**2 - 4*w**2 + 3*w**2 - 6*w**2.\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-3))\/(5\/(-15))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i - 4*i - 8*i + 17 = 3*a, 3*i - 77*a + 67 = -72*a for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -518755, -1037539, -1556323, -2075107?\nAnswer: -2593891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/7*-3)\/((-14)\/(-98)). Let s be 2 - (-5 + 10) - (0 - i). Solve 11 = -s*m - 2*r, -13 = m + 4*r - r for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 522, 1043, 1558, 2067, 2570, 3067?\n\"Answer: -3*g**2 + 530*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -216.66444 rounded to the nearest ten?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vk when two letters picked without replacement from awkkwaaklvanaawnna?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2284 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3581304, -3581309, -3581314?\nAnswer: -3581319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 7*m**2 - 7*m - 5. Let n(w) = w + 1. Give c(r) + 3*n(r).\nAnswer: 7*r**2 - 4*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 571250282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 622153 or 622080?\nAnswer: 622153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 8*g = -s + 22, 4*s + 8 = 4*g. Suppose s*v - 4*y = 12, -2*v = v + 2*y + 6. Factor 0 - 1\/5*l**3 + 2\/5*l**2 + v*l.\nAnswer: -l**2*(l - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1935, 1 in decreasing order.\nAnswer: 1935, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five eighths of a hour?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -2. Suppose 3*f - a = 4. Let k = 31\/2 + -14. Is k greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30500611 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 9448 divided by -2\nAnswer: -4724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 348 + 102. Let g = f - -714. Is (-2)\/11 - g\/(-44) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-30)\/180 + 10\/(-12). Let f be 35\/28*b\/10*-6. Put 11, 0.4, f in ascending order.\nAnswer: 0.4, f, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -18*t**3 - 3*t**2 - 42*t + 60. What is the thousands digit of s(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 12*i**2 + i. Give g(-2).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 360*w - 308*w = -780 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2218 - 2206. Suppose 0 = -2*w + 6 + 2. Suppose w*q + a - 28 = 0. What is the remainder when 16 is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 + -3 - -5 - 33 - (1 - 5 - 2)\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4087, -8467, -12865, -17281, -21715, -26167, -30637?\n\"Answer: -9*o**2 - 4353*o + 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 12*w + 4. Let q be h(3). Suppose 0 = -c - 3 + 10. Let r be (6 - c)\/((-2)\/16). What is the highest common divisor of r and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2736 and 9120?\nAnswer: 27360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -70.9 - -251.55. What is j rounded to the nearest ten?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2114651 and 198737.\nAnswer: 2233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 + 6)*(-5*a**2 + 3*a**2 - a**2).\nAnswer: -30*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of 0*y**2 - 7 + 4*y + 1\/5*y**5 + 0*y**3 + 0*y**4. Differentiate p(l) with respect to l.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 895 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1385 + 1382. Suppose 2*q + 5*s + 21 = -6, -3*q - 5*s - 28 = 0. Let g = -6 + 5.7. What is the closest to q in g, f, 0.14?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -m**2 - 187641*m + 187642 = 0?\nAnswer: -187642, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 78 (b) 1 (c) 2\/3 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 277\/3 - 8\/24. Let w = 267 - l. Is 31 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(-1)\/8)\/((1029\/539)\/((-108)\/(-99))).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + 0 - (-12)\/3. Suppose -2*b - 48 = -d*b. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -220 divided by 10.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s - 9. Let n be l(6). Let u be 2\/(-6) + (-11)\/(-33). Suppose u = 3*w - 2*w - 16. Solve 3*i - n*k = -2*k + 8, -i = -3*k - w for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15308 and 3483.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 4*n = -180. Find the second derivative of -21*k**3 + n*k**4 + 14*k**3 + 7*k**3 - 4*k wrt k.\nAnswer: 216*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 7:43 PM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 347*d + 0 - 2071*d + 107*d - 4077*d.\nAnswer: -5694*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8175426 or 8175642?\nAnswer: 8175642","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -0.3 (b) 3 (c) 0 (d) -41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 544, 653, 762, 871, 980?\n\"Answer: 109*r + 435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 21514121, 21514122, 21514123, 21514124, 21514125?\n\"Answer: p + 21514120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 320320 and 5096?\nAnswer: 2242240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do -3358 and -10076\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-3) + 5\/6. Let l = -0.28 - -0.18. What is the nearest to l in g, 0, 1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {z: 17, g: 3}.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-3))\/(-2) - (-55)\/15. Suppose 0 = -f*s + 55 + 1. Solve 0 = 2*g - 6 + s for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 + -17.255. Let f = l + -56.345. Round f to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6811 + 23046. List the prime factors of t.\nAnswer: 5, 17, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - (59 + -84) - 74.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 40459, 81491, 122523, 163555?\n\"Answer: 41032*p - 573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -8. Let p be -1*1 + g\/(-3). Let o = -32\/45 + 2\/45. Which is smaller: o or p?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 292*b*m**4 - 208*b*m**3 - 2*b*m - 1943308*b - 3 wrt m.\nAnswer: 3504*b*m**2 - 1248*b*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 11:35 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 466551 or 466541?\nAnswer: 466551","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - (-4 - -1)) + 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19423261 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: Let r = 2 - 6. Let v(n) = 15 - 14 - 11 + 66*n - 18. Let u(b) = -22*b + 9. Let k(t) = r*v(t) - 11*u(t). Differentiate k(l) with respect to l.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 8) to base 3.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 145*u**3 + 233*u**2 + 98*u + 14. Let s = -18 + 16. Let l(k) = 1014*k**3 + 1632*k**2 + 687*k + 99. Let q(c) = s*l(c) + 15*r(c). Factor q(v).\nAnswer: 3*(v + 1)*(7*v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4906 - -0.07573.\nAnswer: -4905.92427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 29*c**3 + 11*c**2 - 33*c + 19. Let r(s) = 14*s**3 + 6*s**2 - 19*s + 10. Determine -4*k(a) + 7*r(a).\nAnswer: -18*a**3 - 2*a**2 - a - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -938 + b**2 + 481 + 457.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 6*f - 4. Let v be x(-7). Suppose v*p = 29 + 37. Is p a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4647341?\nAnswer: 17, 461, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (550\/11*(56\/(-16))\/(-7))\/4.\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 161, 318, 475, 632, 789?\n\"Answer: 157*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 532332 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: Work out 0.324 - 32238532.\nAnswer: -32238531.676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19.38*-3.\nAnswer: -58.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16239 + 16242. What is the nearest to 2\/4213 in k, -2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37090 rounded to the nearest one thousand?\nAnswer: -37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = w + 2*o - 5, 5*w = -5*o - 25. Solve w = -2*l - 2*l + 8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.14 in 0.896, -0.7, 10?\nAnswer: 0.896","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 468?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 y when three letters picked without replacement from ydddlddikklkldylkd?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(42) - 2*sqrt(42))*5)\/(-4*sqrt(726) + sqrt(726)).\nAnswer: 5*sqrt(7)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/30*(-40)\/60*1940\/97.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*g + 5*c = 38*g + 308, 1196 = -4*g + 2*c. Let b = 925 + g. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 810 divide 32775030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12614 - 12369. Calculate the remainder when m is divided by 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3\/2)\/y*y*y*y*y**(-10)\/y)\/(y\/y**(-19))**(-25\/3) assuming y is positive.\nAnswer: y**(937\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -43 (base 10) to base 4\nAnswer: -223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 80179?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*1*(-4)\/(-2). Let h be (0 + (-2)\/(-5))*5. Let o(w) = -h*w - x*w + 0*w + 1. Give o(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 2*g - 4*g + 1419, 0 = -3*g + 5*s + 2176. Let l = -254 + g. Let h = -211 + l. Does 42 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6668 from 24.\nAnswer: -6644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*o - 197 - 235. Calculate the remainder when (6\/(-8) - -2)\/(2\/o) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 795 divide 1335168138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 + 2*s + 3. Let p be g(-4). Let r(h) = -11 + 3*h + p. Let o(z) = -z**2. Determine r(o(i)).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 PM and 12:32 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**5\/3 + 1153*b**4\/3 - 770*b**3.\nAnswer: b**3*(b - 2)*(b + 1155)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*m**2 + 184*m**2 - 67*m**2.\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -151 or -147?\nAnswer: -147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of 29*z**7\/70 + z**5\/15 + 11*z**4\/24 + 60*z**2. What is the third derivative of b(h) wrt h?\nAnswer: 2088*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/8197 + 844297\/49182. Suppose 180 - 72 = 6*p. Calculate the common denominator of 15\/p*(-166)\/(-10) and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*v**4 - 7*v**4 + 9*v**4)*(2 + 196 + 82 + 105 + 7).\nAnswer: -2352*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -5 + -6 + 4 + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/8, 0.0444, 10\/13, -2\/15, 0.2 in decreasing order.\nAnswer: 10\/13, 5\/8, 0.2, 0.0444, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b. Determine x(14).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 20*f + 342 = -37*f - 2111, -3*b + 0*f = -f - 40 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 4*w + 82. What is the least common multiple of 58 and o(-15)?\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 294?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + 7 - (-4 - -11). Let l(b) = b - 1. Let o be l(4). Solve a = 6*m - 2*m - 5*k + 26, o*k - 10 = m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 1705?\nAnswer: 1709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10769*n = 10987*n + 7848 for n.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41780, -41779, -41778?\nAnswer: -41777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**4 - 2*l**4 - 4*l**4)*(5 + l - 5) - 3*l**5 + 4*l**5 + 3*l**5.\nAnswer: l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i**3\/5 + 5*i**2 + 21*i\/5 = 0.\nAnswer: -3\/4, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 641?\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -4*z + 2*o, -5*z - 3*o + 1 + 17 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -42640160 and 3?\nAnswer: -127920480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18\/(-42) + 35724\/83097. Let z = r - -13856957\/1329552. Let s = 53\/16 - z. What is the common denominator of 48 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 0)*(l - 1 + 1)*(-4 + 6 + 14)*(-l - 2*l + 5*l) + 2725 - 104*l**2 - 2725 to a + j*l + i*l**2 and give i.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6700?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*a**2 + 0*a**2 + 0*a**2)*(-2*a**2 + 1 + 1 + 3*a**2).\nAnswer: -7*a**4 - 14*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1287264465.\nAnswer: 3, 5, 2777, 10301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/174 and -83\/609.\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-41)\/(984\/(-32))*(1395\/6)\/5?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6239929177 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 980 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -79 + 0?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*x + 259 = -352 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 381.0214 litres in millilitres?\nAnswer: 381021.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -3*i**4 + 5*i**3 + 3*i**2 - i. Let g(y) = -30*y**4 + 51*y**3 + 30*y**2 - 9*y. Let u(t) = -21*b(t) + 2*g(t). Suppose u(a) = 0. What is a?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2 = -v, -9 = c + 4*v + 10. Let t be 5\/c*(-1)\/(-1). Solve 0 = -5*f - 2*r - 10, t*r - 27 + 2 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.42 - 3719174.\nAnswer: -3719174.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 - 21.1. Let s = t + 0.7. Let n = -91 + 363\/4. Which is the closest to n? (a) -1 (b) 3\/8 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16864320.\nAnswer: 2, 3, 5, 11, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*h**2\/4 + 74005*h\/4 + 33282795\/2 = 0. Calculate h.\nAnswer: -13839, -962","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (7 - 6)\/5 - 3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 - 8*c - 17. Let p be o(10). Let k(m) = -13*m - 4*m + p*m - 5*m. Let d(v) = 7*v. Let x(h) = 8*d(h) + 3*k(h). Let i(z) = 5*z. What is i(x(u))?\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/2? (a) 2\/17 (b) -16 (c) 3 (d) 3\/2 (e) -340\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2938 greater than -2944?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 109 = -162. Solve 0 = 4*r - o + 69 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 11 - 8 - 1 + m - 8. Let u(d) = 2*d**2 - 2*d - 3. Let x be u(-2). Is 2 a factor of c(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104423443 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + 0 + (-1 - -4). Let h = b + -6. What is the units digit of (-2)\/3*3\/h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 676, 5350, 18028, 42712, 83404, 144106?\nAnswer: 228820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -106.9 - -104.9. What is the closest to -0.05 in c, 2\/7, 2, 4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 546775 from 0.0443.\nAnswer: -546774.9557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + a - 1 + (-3*a + a + 4*a)*(3 + 0 - 5) + (-16*a - 2*a + a)*(-3 + 3 - 2).\nAnswer: 31*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8218 - -9347. Does 9 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + 7*k + 3. Let n be l(-6). Let t(x) = 5*x + 10. Let r be t(-2). Put 1, n, r in descending order.\nAnswer: 1, r, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-9 - ((1 - 4) + -7)) + -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2293544 to 2 decimal places.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 25 + 29 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 11580*t - 11580. What is w(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**3\/6 - 41*g**2\/2 - 87361*g\/6 + 29161\/2 = 0.\nAnswer: -241, 1, 363","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by 35.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 3:15 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 3*m**2 + 4*m + 5. Let k(j) = 19*j**3 - 6*j**2 + 25*j + 1. Let a(c) = -3*c**3 + c**2 - 4*c. Let u(q) = 6*a(q) + k(q). Determine -5*u(f) + v(f).\nAnswer: -4*f**3 + 3*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2297?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/6)\/(17\/(-51)). What is the smallest common multiple of 10 and 2\/(3 - 2)*v?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*y - 3*x, -y + 3*x = -4*y + 15. Suppose 4*z = 3*j + 75, 0 = -5*z - 4*j - y*j + 86. Suppose 0 = 3*l - 3*f - 63 + 3, -l = f - z. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z + 16*z - 10 = 0. Suppose -6 = 2*w - 0*w - x, 5*w = -z*x + 15. Is -18 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 5:35 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-66)\/1848 - (-2 - (-12)\/7).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -231, 4, 54831 in ascending order.\nAnswer: -231, 4, 54831","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(1 - 224\/(-16))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(84)\/(sqrt(600) + (sqrt(600) - (sqrt(600) + -3*sqrt(600) + sqrt(600)))))\/((sqrt(175) + sqrt(175)*2)*-3).\nAnswer: -sqrt(2)\/1350 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 12*s**2 + 899*s + 892. What is o(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 617*w**2 + 3*w**3 + 618*w**2 - 1224*w**2 + 2*w to the form q + l*w + p*w**2 + r*w**3 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -13315*(-9 + -9 + 174\/10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**2 + 109*h - 63. Let i(n) = n**2 + 55*n - 31. Let f be -3 + 0 - (-20)\/(-5). Let u(d) = f*i(d) + 3*a(d). Differentiate u(r) wrt r.\nAnswer: -2*r - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1117, -1118, -1119, -1120?\nAnswer: -1121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -124\/7 in -2\/7, -1391, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of i**4\/6 + i**3\/2 + i**2 - 2*i. Let x be g(-2). Let n = 0.05 - 0.55. Which is the closest to -0.1? (a) 0.5 (b) x (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -80, -127, -174, -221, -268?\nAnswer: -315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 4*h**2 - 3*h. Let v be m(3). Suppose 0 = 6*i - 9*i. Solve v*k + k = i for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 119*l**2 - 457*l - 345. Calculate p(115).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -21*1\/7*18. Calculate the common denominator of -113\/10 and (762\/(-8))\/(x\/12).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/6)\/(2\/(-39)). Let a = n + 29. Suppose 7*x - 670 = -a*x. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/8)\/((-1)\/(-12)). Let r be y\/6*(-3)\/27. Which is the third biggest value? (a) r (b) 5 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 49.8502 and -0.5.\nAnswer: 49.3502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kyykk. What is prob of sequence yky?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -79 - (-6 + (20 - 58))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 - (10 - -18 - 39) - (-6 + 2).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -145\/8 in 0.5, 401, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 485\/117839?\nAnswer: 485\/117839","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-2)*20\/6. Let v be (-3)\/(-36)*4 - (-1)\/(-3). Solve v = j*n - 8 - 17 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 106 + -106.98. Let q = -626.02 + 627. Let m = y + q. Is m at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10.38 + 34138.3\nAnswer: 34148.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 0.019.\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.012479 rounded to three decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 219 + -219. Suppose 72*i - 73*i + 145 = z. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*r - d, 3*r + 2*r = 3*d - 22. Let k be (-1)\/((0 - -1) + r). Let p = k - -1. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22031 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-2*((-16)\/56)\/2)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 is divided by -4*5*(-2)\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 125646785?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2744*d - 7061 + 4041 = 29346 + 8794 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 605 divide 1685530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22017409?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of 0*t + 3*t**2 + 0 + 1\/12*t**5 + 2\/3*t**3 - 1\/8*t**4 - 1\/120*t**6. What is k(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 3\/(-10))*(-5)\/(-12).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1636, 7463, 17198, 30835, 48368?\n\"Answer: -z**3 + 1960*z**2 - 46*z - 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 4:10 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -178930, 0.1, -3, 1, -46, 0.\nAnswer: -178930, -46, -3, 0, 0.1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50411.\nAnswer: 50411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -11210244 (base 5) in base 6?\nAnswer: -2054111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 14.7093, -1\/2, 2\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-1\/9)*t*t**(-6))**(-13))**26 assuming t is positive.\nAnswer: t**(11830\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.7 + 7.3. Let c = 9.2 - x. Suppose 2*t + 4*g = 19 - 5, 0 = -t + 5*g. What is the closest to 2\/7 in c, t, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 s when two letters picked without replacement from {k: 2, g: 5, s: 7}.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*(-11 + (-1692)\/(-153)). Which is the third smallest value? (a) -5 (b) -14 (c) j (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/(-52) + 2\/(-8). Let o be 1\/(-3) - 35\/(-60). Put x, -5, o in decreasing order.\nAnswer: o, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -5, 1, 7?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/12 + 624\/6336.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 435*h - 1194*h - 13221 = -475*h - 401*h for h.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 24 = -5*b - c, 5*b - 5*c = 15. What is the highest common divisor of b and 301?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4372 + 4429. Which is the closest to 4? (a) -1\/5 (b) 2 (c) k (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xux when three letters picked without replacement from xtxtxttxxxxutxxxutx?\nAnswer: 110\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and -7676946?\nAnswer: 46061676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-21)\/(-504) - (-1201)\/(-24). Which is the fourth smallest value? (a) 0 (b) l (c) 1\/3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f - 1. Let r(n) = 15*n + 12. Let g(u) = -12*i(u) - r(u). Let z(x) = 2*x. Let s(p) = -3*g(p) - 4*z(p). Let m(b) = -4*b**2. Determine m(s(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-3)*(-28)\/(-7).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 260 and 520?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 578c + -3ad1?\nAnswer: 1a9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2299 and 434929.\nAnswer: 4784219","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1027 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5 + 8\/5*j**2 + 2\/5*j**3 + 7\/5*j - 1\/5*j**5 - 2\/5*j**4.\nAnswer: -(j - 2)*(j + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4345378?\nAnswer: 2, 223, 9743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -9850 divided by -50\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 4*j**3 - 4*j**2 + 5*j - 2. What is the smallest common multiple of f(1) and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14827*o**3 - 54*o - 55*o + 109*o.\nAnswer: -14827*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of t**7\/840 + t**6\/60 - t**4\/12 + t**3\/2 + 15*t**2 - 2*t - 4. Let b(j) be the second derivative of f(j). What is b(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*v**2 + 2*v - 35 - 26*v + 17*v**2.\nAnswer: v**2 - 24*v - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6871117.\nAnswer: 11, 613, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.011 (b) -1\/3 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 610 and 166159608?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i**2. Let w(q) = 25266960*q**2. Give c(w(o)).\nAnswer: -1276838535283200*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 8 = 6*y - 2*y, -3*y + 6 = 2*h. Let f(z) = -2*z**2 + 3*z + 8. Let l be f(h). What is the tens digit of l\/(-2*(-5)\/70)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 8, y: 11, b: 1}. Give prob of sequence eeye.\nAnswer: 154\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 11*g + 7. Let q(r) = r**2 + 13*r + 16. Determine 2*c(p) - 3*q(p).\nAnswer: -3*p**2 - 17*p - 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 137 = -5*m, 56 + 78 = 5*m + 3*q. Calculate the highest common divisor of 15 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -54*j - 40. Is 7 a factor of d(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o - 3*s + 12, -5*o - 5*s + 8 + 17 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 1 + -1 - -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-24)\/16)\/(2\/20). Let x(a) = a + 13. Let s be x(t). Does 49 divide 1\/s - 1209\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152 is divided by 42.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/72 and 13\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 1261024*a - 26. Let y be g(14). Let i = y + -10454310. What is i rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 - 32*n - 84. Let l be s(-24). Let i(o) = 24*o + 12. Let v be i(4). Are l and v unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -53789*z**3 - 600*z - 2.\nAnswer: -322734*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o - 16. Let h be w(-8). Let p be (h + 0)\/(12\/12). Let i(f) = -f**3 - f + 8. Determine i(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 - (3*-9 - 2). Let m = 40 - p. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38810 = 13*a - 9173. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/((-936)\/(-972)) + -24 + -9\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 100110001010 (base 2) to base 8\nAnswer: 4612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -112 - -111.98. Let p = t - 0.98. Which is the fourth biggest value? (a) 0 (b) p (c) -4 (d) 2\/89\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 56321854.00407 - 56322444. Let o = 590 + z. Round o to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 4*j - 50. Let v = j + -13. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 690009512?\nAnswer: 2, 86251189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**5 - 3*r**4 + 3*r**4 + 3*r**5 - 3*r**5 - 6*r**5 + (0*r**2 + 0*r**2 + r**4)*(5*r + 0*r - 4*r).\nAnswer: -3*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26400 = -912*j + 747*j. What is the greatest common divisor of j and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-5))\/((882\/(-35))\/7).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of 3*u**2 - 7*u - 1. Let l(b) = 2*b**3 + 10*b**2 - 11*b + 9. Let g be l(-6). What is the tens digit of x(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -104123 and -103168 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = y + 11 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-2)\/(-14)*(-100)\/(-25).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122412*u - 6*u**2 + 244628*u - 122216*u + 3*u**2.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1353212?\nAnswer: 2, 7, 31, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3488927*j**2*r**3 + 15737758*j**2 - 5*r**3 wrt r.\nAnswer: 10466781*j**2*r**2 - 15*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -3 + 2*w + 3*w + 0 + 0. Suppose 2*b - 4 = 2. Let p(r) = -2*r + 1. Calculate b*y(o) + 7*p(o).\nAnswer: o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 1. Let r(f) = f**3 + 8*f**2 + 8*f + 7. Let o be r(-7). Suppose 4*q - 2*m = 0, -m = -q - o*m + 2. Is c < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -95*u**2 - 206. Let i(x) = -63*x**2 - 137. Let z(r) = 5*c(r) - 7*i(r). Differentiate z(t) with respect to t.\nAnswer: -68*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -230*t - 126*t + 115*t - 141*t in the form s + z*t and give z.\nAnswer: -382","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -a6fd3e (base 16) to base 14\nAnswer: -164c3a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2768, 311, -2, -1 in decreasing order.\nAnswer: 311, 1, -1, -2, -2768","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 443 - 345. What is the remainder when b is divided by 38?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.255199307 rounded to 4 dps?\nAnswer: 4.2552","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (60\/18)\/(4\/6). Suppose 5*z + c*m = 115, -3*z - 87 = -7*z - 3*m. Let d be ((-4)\/(-6))\/(4\/z). Solve 3*v - 22 = -5*a - 0*v, 3 = -d*v for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of 2*j**5\/3 + j**4\/12 + 28*j**3\/3 - 53*j**2. What is the first derivative of c(u) wrt u?\nAnswer: 80*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*m - 2. Let l = -17 - -31. Let w be l\/91 + (-4)\/26. Solve 0*j + 3*j + n + 14 = w, -26 = m*j + 3*n for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21981 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 45. What is the remainder when ((-600)\/(-105) - 4)\/((-2)\/(-84)) is divided by r?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - 7*x**2 + 13*x - 16. Let u be z(-12). Is (-4)\/10 + u\/(-20) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -1034*p - 5126. What is r(-5)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w. Let x(k) = 12*k. Determine -27*h(o) - 2*x(o).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/((-528)\/(-136)) - (-4)\/3.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/5*55\/(-33))\/(28\/(-714))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -2\/167, -11, 3\/7?\nAnswer: -2\/167","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 5615*x - 78611. Calculate z(14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**2 + 2*k**2 - 682*k - k**2 + 2*k**3.\nAnswer: 2*k**3 - 682*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of -j**4\/6 - 50*j**3\/9 - 38*j**2 - 203. Solve y(w) = 0 for w.\nAnswer: -19, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 27985 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.18 + -0.18. Which is the second biggest value? (a) 1\/2 (b) s (c) -1.21 (d) -6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-22)*8\/(-48)*-8.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2162*x + 301. Let i(k) = -19457*k + 2714. Let w(f) = 19*d(f) - 2*i(f). Find the first derivative of w(m) wrt m.\nAnswer: -2164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-24) + (-70)\/(-80). Solve 0 = 12*j - 13*j + h for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11 and 0.2284982.\nAnswer: 2.5134802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 948 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n. Let c(d) = -57*d - 2. Let q(y) = 4*a(y) - c(y). Let o be q(-1). Let l = -61 - o. What is the nearest to 5 in 1, l, -1\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3681 - -6582. List the prime factors of l.\nAnswer: 3, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.089 minus 3667?\nAnswer: -3667.089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l + l - 30*l + 22*l.\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 9) to base 12\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 493912.\nAnswer: 2, 107, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 3, i + 2*v = 2*i - 1. Let p be (-20)\/(-14)*2\/5. Which is the biggest value? (a) p (b) i (c) -0.4 (d) -26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 1050 = 7*u. Suppose -u*j = -64*j - 9900. Suppose 1080 + j = 2*g + 4*k, 0 = -4*g + 3*k + 5438. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 102 = q. Let g = -93 - q. Suppose 0 = -14*d + g*d - 20. Is d < 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -63 + 76.5. Let z = c - 14. Let q = 0.028 - -2.972. What is the third biggest value in -1\/16, z, q?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -3*r + 562, -102 = -2*r + 2*w + 278. Let g = r - 185. Solve -2 = -g*o + 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + 3*w**2 + 3*w - 3. Let u(a) = -4*a**3 + 8*a**2 + 10*a - 10. Let t(k) = -7*l(k) + 2*u(k). Let r be (0 + -1)\/(2\/10). Determine t(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 10:47 PM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 28*s - 149. Give x(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 12)*((-14)\/(-2) - (-35643)\/(-4578))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -v + 4*p + 1, -5*v - 15 = -p for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmqcmcmmcmcmccceccm. What is prob of picking 1 m, 1 q, and 2 c?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -1229*i**2 + 7*i + 1146*i**2 - 7*i. Let g(y) = -y. Give g(s(u)).\nAnswer: 83*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.03 + 0.03. Let k be 6\/(-2 + 8)*18\/27. Which is the closest to k? (a) 3\/4 (b) f (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 454262910 and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (37 + -36)\/(2\/6). Suppose 3*w = w + c*d + 16, 2*d + 8 = 0. Solve -4*x + 10 = -2*b, 6*x - 12 = w*x for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28*a*l**4 + 8*a*l**3 + 256*a*l**2 - a*l + 2*a wrt l?\nAnswer: 672*a*l + 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/12)\/((-1)\/8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of u**7\/105 - u**6\/20 + u**4\/3 + u**2 - 37*u. Factor n(p).\nAnswer: 2*p*(p - 2)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 271822614.\nAnswer: 2, 3, 7, 6471967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, -267, -737, -1561, -2853?\nAnswer: -4727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -18491, -18288, -18085, -17882?\n\"Answer: 203*p - 18694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 484*i - 1447. Let q be d(3). Solve -49 = -2*c + 3*o - 53, -q*c = -5*o for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45507839.\nAnswer: 13, 1297, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 100 (c) -2.9 (d) 0.3 (e) -31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17732.\nAnswer: 2, 11, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 2*w - 4*o - 6, 4*w = o. Let k(p) = 43*p**2 - 1. Let z be k(w). Calculate the greatest common divisor of 21 and z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 996 + -994. Calculate the lowest common multiple of (20\/3)\/((-2)\/(-6)) and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + t - 8, -6*v + 5*t = -4*v. Let r(g) = -8*g - 22. Let s be r(v). Does 33 divide 1788\/s - 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 4*d**4 - 3*d**4 - d + 3*d**4 - 1 as s*d**4 + c + w*d**2 + v*d**3 + u*d and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.59 and -1312775.\nAnswer: -1312774.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvqqqqqq. What is prob of picking 4 q?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -45 - -40. Let d = -10.5 - -10. Let b = -142 - -1421\/10. What is the second smallest value in g, d, b?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81808 is divided by 27266?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffvvf. Give prob of sequence ff.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*1024\/(-14) - (-3)\/21. Let c = v + 75. What is the units digit of (47*c\/(-4))\/(12\/(-24))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6908620129 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*c = -18*c + b - 2, -2*c - b = 13 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/4)\/((-4)\/(-56)). Let f(k) be the second derivative of -k**3\/6 + k**2 + 2*k. Let o be f(v). Sort -1, 5, o in descending order.\nAnswer: 5, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 14683296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 + 28. Let f = 429\/7 - y. Let q = -457\/56 - -58\/7. Which is the closest to f? (a) 5 (b) -1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/160 and -32\/35.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - 8*g**2 - g + 6. Let m be h(8). Let y be (-93)\/(-15) + m\/10. Suppose -9 = y*r - 7*r. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-90 + 67)\/((-1)\/49). What is the greatest common factor of z and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 1 - 1822*x + 2 + 2099*x.\nAnswer: 277*x + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 1 + 1)*((0*r**2 + 2*r**2 + 0*r**2)*(-1 - 4*r + 1) + 0*r**3 - 2*r**3 + 0*r**3).\nAnswer: -20*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iti when three letters picked without replacement from ititiiiiitii.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + s**2 + s - 6. Let c be k(0). Let w be 713\/3 - 2\/c. Let o = -167 + w. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 3*q - 0*s + 4*s, 3*s - 21 = -2*q. Suppose q + 1 = -d. Let i = d - -6. Which is greater: i or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4.4799899 < -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 0.5, -0.1, -0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26331*q*r + 105*r + 3 wrt q.\nAnswer: -26331*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -986, -3967, -8930, -15869, -24778?\nAnswer: -35651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1792960 by -32.\nAnswer: 56030","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9543815*n**4 - 9347771 wrt n?\nAnswer: 38175260*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjfjjjfjjjjjfj. Give prob of sequence jjfj.\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (5 + -6 + 455\/784)\/3 and -53\/56?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 3*h - 309 - 71, 2*h - 250 = -3*v. Suppose 0*s + 4*s = h. Does 16 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20382575.\nAnswer: 5, 17, 199, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 270*v**3 + 325*v**2 + 260*v - 35. Let s(i) = -45*i**3 - 54*i**2 - 44*i + 6. Let d(j) = 6*c(j) + 35*s(j). Determine h, given that d(h) = 0.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 - -0.8. Let o = 2.422 - 11.022. Let v = o - r. What is v rounded to zero dps?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.108 (b) -1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-9)*(-6)\/4. Let y be (8\/2 - 4)\/2. Let q be (-27)\/(-12) - (y - -3). What is the second biggest value in r, q, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of 2*f**5\/15 - f**4\/6 + 3*f**2. Let u be t(3). Suppose 4*k - u - 12 = 4*w, 5*k = 3*w + 96. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = 56*o - 1057. Solve -9*k + 11 - o = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -267 + -867. Let o = -80 - y. List the prime factors of o.\nAnswer: 2, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 279\/8) + 6958\/(-55664).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*(o\/(o*o**15*o*o))\/o*o*o*o\/o**(-1\/7)*o**(-5)*o**(-11) assuming o is positive.\nAnswer: o**(-209\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 14*s**2 + 16*s - 7. Let x be -13 - (-3)\/(3\/(-2)). Let p be m(x). Let l = -18 - p. Put 3\/4, -0.3, l in decreasing order.\nAnswer: l, 3\/4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2628624*n. Let f(k) = 4*k**2. What is h(f(d))?\nAnswer: -10514496*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tf when two letters picked without replacement from fftffaafmesfamt.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 3*a + 6, 0 = -0*g - 2*g - a + 13. Solve -4*c + 39 = g*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -786 by -3.\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a kilometer in meters?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -9452, -9327, -9202?\n\"Answer: 125*w - 9577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32822 is divided by 913.\nAnswer: 867","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-56)*2)\/((-21)\/42)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5229\/273 + (-4)\/26. Let t(k) = -9*k - 5*k**2 - 2*k**3 + k**3 + 15*k**2 + 3. Let w be t(9). Solve -5*d + w*d - p = -3*s, -d - s = -3 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of -3*z**5\/100 - 119*z**4\/20 + 12*z**3 - 8*z + 342. Let m(b) = 0. Calculate b.\nAnswer: -120, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 5*u**2 + 17 + 5*u**2 - 3 + 4*u**2 - 24*u**3. Let l(i) = -2*i**3 - 3*i**2 + 7*i**3 + 3 - 6. Suppose 2*q = -2*q + 56. What is q*l(a) + 3*z(a)?\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 110079 and 47994444.\nAnswer: 47994444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.6, 4, 1, 0.2, 76028?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432) - (sqrt(432) + -5 + sqrt(432) + 1 + sqrt(432))) + (sqrt(147) + 3 + 2 + sqrt(147) + sqrt(147) - sqrt(147)))**2.\nAnswer: -180*sqrt(3) + 381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 - 6*v**2 + 3*v + 14. Let p be a(5). Let -2*z**5 + z**p + 32 - 11*z**4 - 22*z + 32*z**2 - 8*z**3 + 24*z + 62*z = 0. What is z?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.225 rounded to 0 dps?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 110 = -5*x, x + 16 = -3*w - 175. Let i = -63 - w. Let g(q) = q**2 - 4*q - 4. Let o be g(6). Solve 0 = -4*c + i*c - o for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -166 - -233. Suppose -5*d + u + 118 = 0. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 + 3 + (-169216)\/(-8448)\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3649776700 to the nearest one million.\nAnswer: -3650000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of o**2 + 4\/21*o**3 - 13\/210*o**5 - 1\/21*o**4 - 1\/84*o**6 + 0*o + 0. Determine b, given that k(b) = 0.\nAnswer: -2, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9.4 times -2\nAnswer: -18.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1*sqrt(19) + 0).\nAnswer: -5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mddmmmdmmmdddddmmmmd. Give prob of sequence mdd.\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 5*x**2 + 15*x. Let o(i) = -i**2 - 4*i. Suppose 4*y - 28 = 4*z, -y + 9 = 2*y. Calculate z*c(k) - 15*o(k).\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 21 - 20 - 3 - -31 - (-97 + 4).\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 11.6, -3\/5, 1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38480?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -445 - -1142. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 r when two letters picked without replacement from {r: 1, e: 2, q: 14}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -p**3\/10 - 1484*p**2\/5 - 41638*p - 6163248\/5 = 0.\nAnswer: -2822, -104, -42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**2\/5 - 3306*z\/5 - 173376 = 0.\nAnswer: -672, -430","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 3*f - 4*c - c, f - 13 = 3*c. Suppose -29*k + 59 = f. Sort k, -6, 0.\nAnswer: -6, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 5*y**2 - 6*y**2 + 2*y**3 - y - y**3. Let d(g) = 6*g**3 - 10*g**2 - 9*g - 5. Let b(l) = d(l) - 5*q(l). Suppose 8*k - 1 = 47. What is b(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -9267, -37518, -84599, -150510, -235251, -338822?\n\"Answer: -9415*r**2 - 6*r + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11580 divided by 2895?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -12*j + 48. Let x be g(4). Let n be (-23 - 1)\/(3\/(-2)). Let y be (-101)\/(-4) - 4\/n. Solve x = 6*w - w + y for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.041 + -0.159. Let i = -13\/7 + 25\/21. Put i, x, 0.3, 2\/11 in descending order.\nAnswer: 0.3, 2\/11, x, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.4 - 0.4. Which is the closest to -1? (a) u (b) -1\/4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -156 + 43279*w**5 - 38118*w**5 - w**4 - 7*w**2 + 4*w**2 wrt w.\nAnswer: 309660*w**2 - 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of -k**4\/12 + 130*k**2 - 9. Let h(p) = p**2 - 231*p + 3. Calculate h(j(d)).\nAnswer: 4*d**2 + 462*d + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3436615 - -1.39759.\nAnswer: 1.0539285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x - 3. Let u be d(2). Let k be -2 - (1 - 0) - 0. List the prime factors of 63 + k\/(4 + u).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5 + -66 + -5)\/(-2). Suppose -34*d = -t*d - 87. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26474 to the power of 1\/2, to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of -5*c**2\/2 - 54. Let v(z) = z**2 + 2*z - 2. Let q be v(1). Let b(h) = 7*h - 40*h - q + 13*h + 15*h. Give 2*b(l) - 3*d(l).\nAnswer: 5*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4*s + 15 = 0. Let u be (s\/3*-16)\/(-1). Suppose -17 = -b - 3*r, -3*b + 3*r + 2 + 1 = 0. Solve -u - 14 = b*q + 4*j, q - 2*j = 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/820 and 10\/24*9\/(171\/190).\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2879162 divided by -15\nAnswer: 2879162\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3\/15932 - -157345\/87626. Find the common denominator of -73\/4 and i.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84634 is divided by 84633?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from luntnpnllliullpunplu. Give prob of sequence tpi.\nAnswer: 1\/2280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -21*m**3 + 1. Let x be (63\/6)\/(9\/6). Suppose -x + 1 = 6*z. Let v be b(z). Is 22 equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28*(168\/49)\/(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -364*u = -346*u - 384210. Does 69 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -109 (b) -3\/5 (c) 8 (d) 0 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 14. Let c be (-4)\/g - (-77)\/(-42). Let 1\/6*n**2 + c*n + 0 = 0. What is n?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -p**4*y - p**2*w + 333*p**2*y + 17*p*w*y - 2*p*w - 293*w*y + y wrt p.\nAnswer: -12*p**2*y - 2*w + 666*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11913?\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 34916 to the nearest one thousand.\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 507.7 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 34?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -73*c**6 - 5*c**3 - 551*c**2 wrt c.\nAnswer: -8760*c**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -439*d**2*m**2 - 3*d**2 - 14*d*m**2 + 168655*m**2 wrt d?\nAnswer: -878*d*m**2 - 6*d - 14*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97431 is divided by 2017?\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 AM and 2:52 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 divide 282324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-18) + -38 + 19529\/531.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2881*g - 2881*g = 3*i - 27, -7*i + 2*i = -2*g - 35 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 + d + 19. Let s(t) = -t**2 - t - 19. Let z(i) = 3*l(i) + 2*s(i). What is the remainder when z(0) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h**6*w - 209*h**3*w**2 - 2*h**2*w**2 - 13*h**2 + 2*h*w**2 wrt h?\nAnswer: -120*h**3*w - 1254*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 170 divide 7674140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*j + 28*j - 264 = -17*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1271383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 2:44 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-five thirds of a decade?\nAnswer: 2200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + l - 284 = 4*a, -l - 5*a = -83. Suppose y + 29 = 2*q, 4*q + l = 8*q - 5*y. Let b(t) = -10*t - q*t**3 + 3 + 10*t**2 + 24*t**3 - 13*t**3. Give b(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j**2 - 2*j**2 - 12*j**2)*(2*j + 0*j - 7*j) + (-2*j + 2*j - 2*j)*(-j**2 + 3 - 3) to the form f + c*j**2 + t*j**3 + h*j and give t.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 370809661?\nAnswer: 17, 587, 37159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (562786\/732)\/(-659)*2\/1.\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 201*q - 188*q - 65728 = 0. What are the prime factors of q?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 8 = 5*s. Let p be 289\/s*10\/(-5)*1. Calculate the highest common factor of 34 and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2732, 5462, 8192, 10922?\n\"Answer: 2730*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 23.6. Let x = -24.2 + y. Let t = 16 + -33\/2. Which is the nearest to 0.1? (a) x (b) 4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -4*c**3 + 7384*c**2 - 1030556*c + 1023176 = 0.\nAnswer: 1, 151, 1694","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 83*p**3*s - 5118920*p**3 + 6998*p**2*s**2 wrt s?\nAnswer: 83*p**3 + 13996*p**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*r + 72 = -17*r - 15*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -205206460 (base 7) to base 16\nAnswer: -b9739d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 638.534 milligrams?\nAnswer: 638534000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -32312, -64607, -96888, -129149, -161384?\n\"Answer: d**3 + d**2 - 32305*d - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 3*k - 154. Let i = k - -82. Suppose -i = -0*n - 4*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 6*o**2 + 7*o + 4. Let l be -6*(-3)\/(-6) - 4. Let t be f(l). Solve t*d = 2 - 6 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10a7c (base 13) to base 10\nAnswer: -30354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -8, -19, -30, -41, -52?\n\"Answer: -11*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(17) + (sqrt(17) + sqrt(17)*3)*-4 - (sqrt(17) - -2*sqrt(2057))) + 5*sqrt(102)\/(-1*sqrt(96) + sqrt(96) - sqrt(96)))*-2*-2)**2.\nAnswer: 419033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/2 (b) -6\/5 (c) -5 (d) 4\/3 (e) -61 (f) 56\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 56*s - 283. Let k(d) = -33*d + 141. Calculate -5*k(m) - 3*r(m).\nAnswer: -3*m + 144","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26*c**2 + 165*c**2 + 40*c**2 + (3*c - 4*c + 0*c)*(4*c - c - 2*c) + c**2 - 6*c**2 - 2*c**2.\nAnswer: 223*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -108? (a) 6 (b) -163 (c) -0.1 (d) 4 (e) -1.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 2276 to the nearest 100.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-24)\/28)\/((-77)\/49). Let q = -252 + 253. Which is the biggest value? (a) q (b) f (c) 0 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -46 - -116. Does 22 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -r**2 + 3 + 3 + 101*r**3 - r - 2*r**4 - 101*r**3 as y*r + o*r**4 + n*r**2 + s*r**3 + v and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 180, 289, 398, 507, 616, 725?\n\"Answer: 109*q + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9483141 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 - 3*j**4 + 11 + (j**3 - 4*j + 4*j)*(j + 5*j - 4*j) - 8*j**4 + 2*j**4 + 0*j**4 as w*j**4 + h*j + t*j**3 + n*j**2 + u and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = -2584 + 430. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 717 and 1819985.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1841008 divided by 167.\nAnswer: 11024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5525, -11061, -16629, -22229, -27861?\n\"Answer: -16*n**2 - 5488*n - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2331020 + 11222?\nAnswer: -2313132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2149521 to the nearest integer?\nAnswer: 1466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132457?\nAnswer: 13, 23, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = 3*l + 18, -3*l - 6581 = -2*b - 6608 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 54.3 + -54. Let t = -20.8 - 0.2. Which is the biggest value? (a) t (b) x (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2*m = 0. Let d(o) = -o**3 + o**2 + o - 3 - 3 + 2. Determine d(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - l**2 + 4*l - 4. Let x = -19 - -19. Suppose 4*b + 5*i + 2 = x, -3*b + 4 = 5*i - 4*i. Let o be t(b). Solve 0 = 3*m + 4 + o for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.833 - -8.32. What is t rounded to 2 decimal places?\nAnswer: 0.49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 9*i - 4. Let m(y) = -12*y + 1. Let q be m(3). Let a be (-10)\/q - 61\/(-7). Is r(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*15\/(-500))\/(9\/54*18)?\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*(-1 - 10\/(-6)). Let r = -1\/782 - 45351\/3910. What is the common denominator of r and (-1)\/(-2)*(29 - q)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11898900 to the nearest 100000.\nAnswer: 11900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-2604)\/378 - (-3)\/(-27)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.09 + -869.6.\nAnswer: -869.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(2744))\/(-3*sqrt(288)))**2.\nAnswer: 343\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/6*(-2616)\/383680.\nAnswer: 3\/88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h - 2*h + h**3)*((-1 + 3 - 1)*(2 - 2 + 5*h) - 3 + 3 - 3*h + (0*h + 0*h + h)*(2 - 2 - 3)) to g*h + j*h**4 + x*h**3 + l*h**2 + k and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 0.1 (c) -4252\/7 (d) -2\/7 (e) 0.9 (f) -2\/9 (g) 77\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*w = -196571 - 362981. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1381685, 1381681, 1381677, 1381673?\n\"Answer: -4*u + 1381689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 29111823 divided by 3\nAnswer: 9703941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4*((-2)\/1)\/(-2). Suppose -108 = -3*u - i*v, -v + 6*v + 113 = 4*u. Let o = 48 - u. Calculate the remainder when 46 is divided by o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -21 (b) 0.4 (c) -2\/205 (d) 6 (e) 2 (f) -2\/11 (g) 0.05\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 141.42 (b) -4 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*a**2*j**2 - 2957*a**2*v - 2*a - 5*j**2*v + 35*j**2 + 7*j wrt v.\nAnswer: -2957*a**2 - 5*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 125 = -4*f. Let n = -4 + f. What is the remainder when 103 is divided by n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -4*m**2 + 3*m - 4. Let l(w) = -9*w**2 + 6*w - 9. Let c(o) = 5*h(o) - 3*l(o). Let v be c(-5). Suppose u - v = -36. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*l**3 - 10*l**4 - 12*l**3)*(0 + 3*l + 0) - 4*l**3 - 2*l**5 + 4*l**3.\nAnswer: -32*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.92000244 - -0.92. What is y rounded to seven decimal places?\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6174 divided by -9?\nAnswer: 686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 + -0.2. Let g = -68 - -73.7. Let x = g + -8.7. What is the smallest value in x, j, 0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 43*v**2 + 45*v - 5. Let t be j(1). What is the biggest value in t, 1\/2, 56, 2?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10088 and 2479015032?\nAnswer: 10088","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -8\/515?\nAnswer: -8\/515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -153*d**4*i + 5*d**2*i**3 + d**2*i - 108*d*i**3 - 3*d*i**2 - 8*i**2 wrt d?\nAnswer: -1836*d**2*i + 10*i**3 + 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ud when two letters picked without replacement from ccccssdusuuscuscdcc?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8948545?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 185\/85 - 3 - -1. Let x = i + 11\/34. Put x, -2, 2 in ascending order.\nAnswer: -2, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 393269 and 101.\nAnswer: 393370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2446 divided by 1223.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of l**8\/56 + 127*l**6\/10 + 361*l**4\/12 + 2*l - 516. Find the third derivative of r(q) wrt q.\nAnswer: 120*q**3 + 9144*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40034593 and 326?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1747838?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 a when four letters picked without replacement from {z: 4, a: 3, b: 1}?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2569352342 to the nearest integer?\nAnswer: 1370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -u - 3*u. Let f(l) = -5*l**2 - 31*l - 3. Let r be f(u). Let y(a) = -a + 2. Calculate y(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z - z + z)*(600*z**3 - 52 + 591*z**3 - 1194*z**3).\nAnswer: 12*z**4 + 208*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -80b (base 14) to base 9\nAnswer: -2144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 124 - 118. Solve -3*m - a = -0*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a - 2. Suppose 4*f + 0 - 8 = 0. Suppose f = k - 3*k. Let d(o) = o. Determine k*m(n) + 4*d(n).\nAnswer: 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -5*a - 6. Are a and 1\/4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + (17 - 0 - (-59 + 68)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -91138.695 to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*y + 4 + 0 - 4 - 7 + 6.\nAnswer: -85*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 2*s = -7*s - 5, 5*h = -5*s + 5. Let z be (8 + -5)\/(h\/(-11)). Let v = z + 47. What is the least common multiple of 18 and v?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 + 3*b - 7. Let k be l(-5). Suppose -o - 4*i - 11 = 0, k*o - 4*i = -o - 4. Let t be -1 + (7 - o\/(-1)). Solve 0*z - t*z = -15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 354 is divided by 69.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 4*x**3 - 3*x**2 - 2*x. Let a(b) = 4*b**3 - 4*b**2 - 2*b. What is 6*a(m) - 7*u(m)?\nAnswer: -4*m**3 - 3*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2154*j + 128*j**4 + 2154*j + (1 - 5 + 2)*(3*j**4 - 13*j**4 - 11*j**4))*(-4*j - 2*j + 5*j).\nAnswer: -170*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 580 and 24215.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 43*k**2 + 78*k + 46. Calculate the lowest common multiple of 66 and i(-41).\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -284.\nAnswer: -3\/284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + p + 190 = -2*w, -3*w = -p + 195. What is the greatest common factor of p and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 t when three letters picked without replacement from {x: 6, t: 4}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 693679*g**4 - 29*g**3 + 58*g**2 - 164889 wrt g.\nAnswer: 16648296*g - 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2821*m + 2812*m + 0*m**2 + 2*m**2. Give q(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 27, 33, 39, 45?\n\"Answer: 6*g + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o + 0 = -2 - 5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26992 and 3374?\nAnswer: 26992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -72*l + 228. Let m be -141*(-4)\/(-36) + 2\/(-6). Is 73 a factor of c(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -76*f + 1. Let j(y) = 12*y**2 + 2*y - 1. Let t be j(2). Let m(r) = -9*r. Let s(h) = t*m(h) - 6*b(h). Determine s(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.02092 to three dps.\nAnswer: 1.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.18768mm to micrometers.\nAnswer: 8187.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**2 - 38*g**3 + 2*g**2 - 5*g**2 + 44*g**3.\nAnswer: 6*g**3 - 5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191 is divided by 64?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 4163 and 4162 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 17*i**2 + 0*i - 3 + 15*i**2)*(2*i**2 - 2*i**2 + 4*i**3).\nAnswer: -8*i**5 + 8*i**4 - 12*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence os when two letters picked without replacement from {o: 4, c: 2, s: 1, k: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + (-10)\/(-4) + 70 + (-583583)\/6370.\nAnswer: -4\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2134123 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/9 - 44*z**2\/9 + 2*z\/9 + 44\/9.\nAnswer: -2*(z - 1)*(z + 1)*(z + 22)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/44 and -69\/991364?\nAnswer: 991364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 11:48 PM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110001010001111110 (base 2) to base 12.\nAnswer: -98992","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 228 (b) 5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 14. Let r(y) = 10*y - x - 3 + 5. Let a(d) = -d**2 - 4*d + 4. Let k(j) = -3*j + 3. Let z(u) = 3*a(u) - 4*k(u). Give z(r(t)).\nAnswer: -300*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of r**4 + 543*r**2 + 648.\nAnswer: 4*r**3 + 1086*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-k - 3*k + 5*k)*(-2*k + 5*k - 2*k) + (3*k + 2*k + 0*k)*(0 + 8*k + 0))*(-1 + 3 + 0).\nAnswer: 82*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 93*m + 16225. Let u(q) = -56*q - 8111. Calculate -3*j(l) - 5*u(l).\nAnswer: l - 8120","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7761152 and 14188356.\nAnswer: 908054784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39 - -70. What are the prime factors of n?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = 22*f + 475, 3*s + f = -7 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**3 - 2 + 725*f**2 - 365*f**2 - 332*f**2 + 15*f to the form l*f**3 + z + k*f**2 + b*f and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -384 = -25*n - 21*n - 36*n - 2188 for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005103 rounded to 7 decimal places?\nAnswer: -0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 2*s**2 - 1166388*s + 170057620818 = 0?\nAnswer: 291597","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does -418 = -417?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3378\/15)\/2 + (-2)\/(-5).\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**2 + 3*v**2 + 2*v**5 + (5*v**4 - 4*v**4 + 13*v**4)*((4*v + 0*v - 3*v)*(2 + 0 - 4) + 1 - 1 - 2*v).\nAnswer: -54*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -1 - 4 + 6 + g + g**2 - 2. Let v(u) = -108*u**2 - 96*u + 96. Let w(s) = -288*l(s) - 3*v(s). Calculate the remainder when 106 is divided by w(1).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 5*n**2\/3 + 90*n + 1215 = 0.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) 3 (c) 3\/10 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 12:06 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)*-1*-1)\/(sqrt(72)\/(sqrt(12)\/sqrt(2))).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*z - 37*z + 74*z)*(-78 + z**3 + 35 + 42) + (-4*z**2 + 4*z**2 + z**2)*(4*z**2 + z**2 + 0*z**2) + 2 - 2 - 2*z**4.\nAnswer: 27*z**4 - 24*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 991, 1132, 1203, 1168, 991, 636, 67, -752?\n\"Answer: -6*s**3 + s**2 + 180*s + 816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1905 is divided by 1895.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(1\/4))**0\/(((k**(3\/2)*k)\/k)\/((k*k*k**(-9)*k*k)\/k))*(k\/k**(-7)*k**(-1))\/(k*k**(-7)*(k*k\/(k**3*k))\/k) assuming k is positive.\nAnswer: k**(17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -18*h**3\/13 - 1607610*h**2\/13 - 4286864*h\/13 - 2857888\/13 = 0.\nAnswer: -89309, -4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 11:10 PM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82956588.\nAnswer: 2, 3, 11, 13, 29, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 20*f**2 - 2*f + 34. Give v(20).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-7)\/v)\/(v**(1\/9)\/v))\/(v**(2\/3)\/v**(3\/7))*((v\/v**(-1))\/(v\/(((v**(-6\/5)\/v)\/v)\/v)))\/((v**(-3\/5)\/v)\/v**(-7)) assuming v is positive.\nAnswer: v**(-5024\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2651 + 2614 - 6*s**2 + 2*s**2 + 6*s**2 + 4*s**2 to the form z + k*s + o*s**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 + 6*k. Let m = 8 + -16. Let j be m\/(-3) + 3\/9. Let q be (5 - j)\/((-3)\/(-9)). What is v(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -68837950, -68837948, -68837946, -68837944, -68837942?\n\"Answer: 2*r - 68837952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -55*d - 820. Let x be z(-15). Solve -8*h = -7*h - x*l + 23, 4*h - 8 = -5*l for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/3)*i**(-2\/99))\/(i**(-3\/4)*i**(-11)) assuming i is positive.\nAnswer: i**(4777\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -6471, 12, 3, -136, 2 in increasing order.\nAnswer: -6471, -136, 2, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 + 10*h + 83. Let y be g(-6). Let f(l) = -14*l - 141. Does 2 divide f(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*a*n*t**2 + 20*a*t + 1004829*n**2*t**2 - 3*n**2*t - t - 1145 wrt t?\nAnswer: 20*a*n + 2009658*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (17559 - -38)*(-3)\/12*-4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13200?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 333 and 296?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/46107 and -23\/94.\nAnswer: 92214","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Find v such that -4*v**3\/3 - 64*v**2\/3 + 748*v = 0.\nAnswer: -33, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/6*-3*(-1)\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 5*z - 30, -14 = d + 2*z - 6*z. Suppose -d*f - 2*f = -16. Solve 0 = -h - f - 1 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -57448*d**3*k**2*w - d**3*k**2 - 7*d**3*w - 147*d**3 - 2*d*w wrt k?\nAnswer: -114896*d**3*k*w - 2*d**3*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.23 + -0.43. Let g = 0.2 + -0.2. Let z = 0.2 + g. What is the third smallest value in z, 2\/9, s?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**3 + 252*n**2 + 516*n + 260.\nAnswer: -4*(n - 65)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 230782?\nAnswer: 2, 23, 29, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 46086 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157068652?\nAnswer: 2, 13, 3020551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -147 - -148. Calculate the remainder when 2 is divided by (d\/(-2)*1)\/((-4)\/8).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a*f**3*o**2*r**2 + 3*a*f**2*o + a*f*o**2 + 2*a*r**2 + 17*f**3*o**2*r**2 - 5*f**2*o**2*r**2 wrt f?\nAnswer: -6*a*o**2*r**2 + 102*o**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 1.86 (b) -1.6 (c) 6.7 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 q, and 1 r when three letters picked without replacement from {y: 1, p: 3, w: 2, r: 13, q: 1}?\nAnswer: 13\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -9. Let a(f) be the second derivative of f**4\/12 - f**3 + 7*f**2\/2 - f. Calculate a(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, 2760, -0.5, 2 in decreasing order.\nAnswer: 2760, 2, 3\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + 48\/8 - -203. What is the highest common divisor of 11 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 369605783 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -0.5 (c) -2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/3125 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 130330094?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n + 11*n - 10 = 0, -t - 4*n = -1337. What is the thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 4 (c) -4\/3 (d) 1360 (e) 2\/37 (f) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 18*w + 22*w - 6672 = 0, -2*g = 5*w - 6672. List the prime factors of g.\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 3*w**2. Let k(f) be the first derivative of 7*f**2 + 0 - 3*f**2 - 15. Give k(s(d)).\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2 - 5747*z - 225654.\nAnswer: (z - 5786)*(z + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48613 and 1082693?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 5114456.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*t + 12. Let w = -0.5 + 2.5. Let s = w + -2.5. Which is the third biggest value? (a) 2\/11 (b) -0.07 (c) s (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 - -33. Let r(l) = -76*l + 3422. Let g be r(45). Calculate the highest common factor of o and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 399, 1045, 1925, 3033, 4363, 5909?\n\"Answer: -x**3 + 123*x**2 + 284*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1217?\nAnswer: 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*l - l + 2*l)*(-2*l - 1 + 1)*(-6*l + 5*l - 6*l + (-46*l + 113*l + 109*l)*(2 - 1 + 2) - 1 + 1 + 2*l) to t*l**2 + b*l + v*l**3 + f and give v.\nAnswer: 1046","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of 7*x**6\/660 - 23*x**5\/330 + 5*x**4\/33 - 4*x**3\/33 + 26*x**2. Suppose k(a) = 0. Calculate a.\nAnswer: 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 8:25 PM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -1213123?\nAnswer: 1213113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1228, -4871, -10942, -19441, -30368, -43723?\nAnswer: -59506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h - 4502711 + 4502711.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -4, 75 in increasing order.\nAnswer: -4, 18, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1b73 + e?\nAnswer: -1b64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + (2 - (-334)\/(-196)). Let o = -7481\/882 - b. What is the common denominator of 5\/((-30)\/(-297)) - 0 and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = i - 120. Let f = -711 + -34. Let l = i - f. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i**3 + 24*i**2 + 23*i + 11. What is the remainder when u(12) is divided by 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -3*t + 20. Let w be p(4). Suppose z - 11 = -6*y + 2*y, -3*y - w = 4*z. Solve -2*n = -y - 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 53\/5 of a kilometer?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -308.514 to the nearest integer.\nAnswer: -309","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4917935 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: Let r = -41.7 - -46.7. Which is the nearest to -1? (a) -0.4 (b) -6\/13 (c) 6\/11 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 4*j + 1120. Round j to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 983\/4915 - (738\/(-15) - 4\/(-20)*2)\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 2 + 23 = 0. Suppose 2*u = -6, -3*m + m = -w*u - 21. Let s be (440\/(-33) - -10)*6\/(-4). Solve a = 4*f, -4*a - m = s*f - 6*a for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2559846745 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of 1679*q**6\/15 + q**3\/6 + 365*q**2 + 1798*q. What is the second derivative of n(p) wrt p?\nAnswer: 40296*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1397, 1374, 1341, 1298, 1245, 1182, 1109?\n\"Answer: -5*i**2 - 8*i + 1410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2997*d**3 - 2*d**2 - 2*d - 1. Suppose -4*c - 5*l - 9 = 0, 5*l = c + 4*l. Let k be o(c). What is the tens digit of 4\/10 - (-1 - k\/35)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46975 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 220 plus 32?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 28.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 42431 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(832)*2)**2 + sqrt(13) + (0 + sqrt(13))*-4 + sqrt(1872)*-1.\nAnswer: -15*sqrt(13) + 3328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14 + 90\/(-9) + 5008996. Round x to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65300000 rounded to the nearest one million?\nAnswer: 65000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1070204080 to the power of 1\/5, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2397.6376089 - -2378.6376. Let p = 19 + r. What is p rounded to 6 dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -24*p + 49. What is the nearest to -1 in p, 3\/2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9 - 4)\/(-5)*5*-1. Is 8 at most s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 12*q**2 - 2*q - 2. Let a be n(-1). Suppose 0 = 3*h + a, -2*h - 1 + 3 = u. Suppose 4*d - 110 = -d. Calculate the smallest common multiple of d and u.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g*o**3*r**2 - 2*g*o**2*r**4 + 7*g*o**2*r - 21*g*r**2 - 3774950*o**3*r**4 - 2*o**3*r**2 - 2*o*r + 3*o - 4*r**2 wrt r?\nAnswer: -48*g*o**2*r - 90598800*o**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25)\/(sqrt(20)\/sqrt(4)))**2*-3.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -32244 and -14.4.\nAnswer: 464313.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 7*r - 13. What is g(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 36393118?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5.1773 + 4\nAnswer: 9.1773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 146961?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence frtf when four letters picked without replacement from {f: 3, t: 7, x: 1, r: 1}?\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from srsrrrjsj?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23074*s - 23015*s = 1711 for s.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of -13*t**6\/120 - t**4\/12 - t**3\/6 + 2*t**2. Let y be (-6)\/(-15) - (-7)\/(-5). Does 7 divide z(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 5*p + p = -12, 3*j - 2*p = -5. Let q be 2\/2 - (j + 1). Let y = -3.816 - 0.184. Which is greater: y or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7 is divided by 7 + 5 + (-21)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - sqrt(304)*2) + sqrt(19)*-1*3)**2*-6.\nAnswer: -11400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 15*d + 285. Let r be n(-19). Which is smaller: r or 5\/88?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 150447 and 141?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - 12*u + 16. Give h(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -720.9 - -938. Let z = x - 217. Which is the nearest to -0.01? (a) z (b) 1 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*s - 0*s + 5*r - 15, -3*s - 5*r = 17 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5*f + 12 = 0, -2*f = -2*z + 18. What is the remainder when 4\/(-1) + 184 + -3 is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -350*a = -313 - 352 - 35 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -9. Suppose r - v = 2*s + 6, -2*s + 19 = 5*r. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**2 + 0*s**2 - 3*s**5 + (129*s + 82*s + 210*s)*(-4*s**4 - s**4 + 2*s**4).\nAnswer: -1266*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -714.3 + 1508.6. Let n = r - 794. Let z = 1\/179 - 365\/1253. Which is the nearest to 0? (a) z (b) n (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 193762739?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 104016 and 2880?\nAnswer: 6240960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 11*o - 1. Suppose 4*z - 3 = 5*u, u - 2*z = -u - 2. Let d be k(u). Calculate the greatest common divisor of d and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 59082938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, c: 4, t: 1, r: 4, d: 4}. Give prob of sequence rcrv.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 - 7*b - 7. Let i be h(-5). Suppose i*y - y - 2 = 0. Let l(p) = 27*p - 1. Does 26 divide l(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**2 - 8*q**2 + q**2 + (-2 + 2 + 2*q)*(-q - 2*q + 4*q) + (2*q + 1 - 1)*(2*q + 0 + 0).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -31 and -291.\nAnswer: 9021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 18, 0.\nAnswer: -3, 0, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 9*i**2 + 12*i - 11. Let z be x(8). What is the first derivative of z*o**3 - 7 - 48*o**3 - 4 wrt o?\nAnswer: -81*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 19*n - 2)*(132 - 498 - 306) as c*n + y and give c.\nAnswer: -12768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -3*b + 41*c - 40*c + 7, 4*b - 9*c + 43 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2 + 65084*o - 529490882.\nAnswer: -2*(o - 16271)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 106670, 106807, 107018, 107303?\nAnswer: 107662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q + 1. Let k(y) = 2*y**2 + 6*y - 6. Let g(t) = 6*d(t) + k(t). Let l(s) = -s**2 - 34. Give l(g(h)).\nAnswer: -4*h**4 - 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61095, -122191, -183287?\nAnswer: -244383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g**2 + 8*g - 6. Let o be 9 - (3 + 3\/(-3)). Let x(p) = -2*p**2 + o + 3*p**2 + p**2 - 9*p. Let k(u) = 7*t(u) + 6*x(u). Factor k(f).\nAnswer: -2*f*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 3\/2, 1\/4, 1.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*y**3 + 3*y**2 + 4*y + 5 - 5*y - 4 as j*y**3 + p*y**2 + i*y + n and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z - 235995 + 0*z + 235995 + 5*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(-53*r + 18*r - 4*r) + (4 + 1 - 2)*(3 + 3*r - 3).\nAnswer: 48*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -608 - -735. Let z(n) = -14*n + 120 - 248 + w. Calculate z(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1299*(-3)\/84 + 14\/(-98). Let h = 559\/12 - y. Which is the third biggest value? (a) 0.1 (b) h (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = 3*n + 46755. Suppose -170*z = -156*z - 155092. Let a = n - z. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -14 - 38. Suppose -w*g + 21*g + 460 = 0. What are the prime factors of g?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108197 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1772201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from ekkzekek?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1728.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(13\/(-26)*(4 - 0)). Solve 0 = -5*v + 3*w, 7*v - 3*v = o*w + 2 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 94 + -94.1. What is the nearest to j in 4\/9, -3, 10?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a meter in millimeters?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j = 11*j - 15. Suppose 5*x = 5*o - 35, 3*o - 9*x + 7*x - 18 = 0. Solve u = -5*v - 0*u - 15, -o*u = j*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3\/5)*((y\/y**(4\/11))\/y)\/y*(y\/(y**1\/y))**(-30))**(-5) assuming y is positive.\nAnswer: y**(1758\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 163053?\nAnswer: 163046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (516\/168)\/((-2)\/8*-2) and 31\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 227533?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2416238 is divided by 1208100?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3343\/5 + -667. Solve -4\/5*u**4 + q*u**3 + 4\/5 - 8\/5*u + 0*u**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + w. Let t(g) = -5*g**3 - 7*g. What is -4*n(o) - t(o)?\nAnswer: o**3 + 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -23297 - -20263633?\nAnswer: 20240336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41357630.8883 - 41360058. Let m = l + 2427. What is m rounded to 2 decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 60 = 4*b, b = -5*f - 13 - 2. Let r(i) = -i**3 + 5*i**2 - 3*i - 4. Calculate the remainder when (9\/(-5))\/((-2)\/b) is divided by r(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 617392?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -340 + 223. Let q = x + 59. Let t = q - -59. Sort -4, t, -0.2.\nAnswer: -4, -0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6292) + sqrt(6292)*-1 + 0)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 66061354, 66061357, 66061360, 66061363, 66061366?\n\"Answer: 3*o + 66061351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)\/(sqrt(48)\/sqrt(4))*-3 + 3)**2.\nAnswer: -18*sqrt(17) + 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*(-3)\/(-6))\/(18\/(-24))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -25, -42, -107, -250, -501, -890, -1447, -2202?\n\"Answer: -5*o**3 + 6*o**2 - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of 2*z**3\/9 + 5*z**2\/9 + 4*z\/9 + 73. Determine l, given that u(l) = 0.\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16099430621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-1)*4)\/((-118)\/59)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14\/(-21)*306\/(-2). Suppose 6*p = -0*p + i. Calculate the remainder when p is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = 11*c - 8. Let i = -1502 - -1505. Put c, i, 4, -3 in increasing order.\nAnswer: -3, c, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, b: 3, f: 3, z: 4, t: 3}. What is prob of picking 1 f, 1 b, 1 z, and 1 t?\nAnswer: 27\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + (sqrt(17) - (sqrt(17) - (-1*sqrt(272) + sqrt(272))) - sqrt(17)))**2 - ((sqrt(17) + (-1*sqrt(17) - sqrt(17)))*-2)**2.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 394*d**2 - 1 - 178*d**2 + d**2.\nAnswer: -571*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -208.800901 + 4.\nAnswer: -204.800901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 1:51 AM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1716*827.6.\nAnswer: 1420161.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (25\/15)\/((-1)\/(-3))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**3 - 11*t**2 - 11*t + 18. Let h be x(6). Is 29460\/(-15)*3\/h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 0.7172.\nAnswer: 0.28688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.838537m in nanometers?\nAnswer: 9838537000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s + 2 + 2*s + 1 - 4. Let m(u) = -217*u - 9543. Let z be m(-44). Let a(q) = -2*q + 1. Suppose 4*k - 3 = 9. Calculate k*r(h) + z*a(h).\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22161 - -22169. Let n(u) = -u**3 + 7*u**2 - 8*u - 1. Give n(t).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30429.7 litres in millilitres?\nAnswer: 30429700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -29, 3, -4, 3\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 320283*l**2*y**2 - 2*l**2*y - 5556570*l*y**2 wrt l?\nAnswer: 640566*y**2 - 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -33*o + 41. Let q be u(-6). Let d = -100 + q. What is the remainder when d is divided by 37?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9148, 7307, 5466, 3625, 1784, -57?\nAnswer: -1898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**2 - d - 4. Is o(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13922593?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/((-8)\/2))\/(-1*18\/48)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4319684.\nAnswer: 2, 241, 4481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**4 - 6268*b**3 + 6539592*b**2 - 2262631888*b - 9155562688 = 0 for b.\nAnswer: -4, 1046","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/(110\/(-80)))\/(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/((-312)\/65 - -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000062348 rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -8. Let z = 4 - 2. Let r = k - z. What is the nearest to 1 in 2\/5, -2\/9, r?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -30, -50, -82, -126?\n\"Answer: -6*c**2 - 2*c - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 30*g - 80 + 10 = 0, -3*t = 6*g - 8 + 26 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16 and 7?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - y = 5*t + 23, -2*t + y + 42 = 0. Solve 2*f = 2*v - v - 8, -5*v + 3*f + t = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 j when two letters picked without replacement from oojoooooojoojo?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -3*p + 21. Let o be k(8). Let l be 2*3*o\/(-18). Differentiate -m**2 - m**2 + 5 - l wrt m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*p + 25*p = -4592 + 110978. Calculate the highest common divisor of p and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-8) + (-26)\/(-24).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 7 - (0 - (-17 - -8))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -123312211?\nAnswer: 123312212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34000*-5.\nAnswer: 170000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -269 - -272.4. Is 1\/10 > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1540 - -1539. What is the nearest to -1 in -37, z, 1\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f**2 - f + 28. Suppose p + 6 = 41. Calculate the least common multiple of l(0) and p.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00034690912 rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 10 (b) -204806 (c) 2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3507\/122 < 29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -1 - 7) + 5 + -3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 319462237.\nAnswer: 5237, 61001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1585 divided by 517\nAnswer: -1585\/517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28\/101, 0.11, 134 in descending order.\nAnswer: 134, 0.11, -28\/101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10758 and 6437196.\nAnswer: 70809156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of 1\/12*y**4 + 1\/30*y**5 - 1\/3*y**3 + 0*y + 5*y**2 - 1\/60*y**6 + 0. Suppose h(j) = 0. Calculate j.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-2 + 1 + sqrt(343) + sqrt(343) + (sqrt(343) - 5*sqrt(343)) + -4 + sqrt(343))**2 + 3) + 0.\nAnswer: -1855 - 350*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1495, 3028, 4563, 6100, 7639, 9180, 10723?\n\"Answer: m**2 + 1530*m - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + y = 95611, -2*f - 571*y + 567*y + 63714 = 0. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/2 (b) 2\/37 (c) -20 (d) -1\/40 (e) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 11*r**2 - 3*r. Let i(d) = -7*d**2 + 3*d - 2. Let x(o) = 2*b(o) + 3*i(o). Let w(g) = g - 1 + g - g. Calculate 4*w(y) - x(y).\nAnswer: -y**2 + y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/3))**(-5))**34\/(t**(-5)*t**(-6)*((t*t\/(t**(-1\/2)*t)*t)\/t)**(-49)) assuming t is positive.\nAnswer: t**(167\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-39) + (-12)\/(-78)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j + 6. Let d(c) = -7. Let w = -3 + 7. Let n(t) = w*u(t) + 3*d(t). What is the first derivative of n(f) wrt f?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 6*m**2 + 0*m**3 + 7 - 6*m**3 - m**3 + 6*m**3 + 2*m. Is 8 a factor of g(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 439*j - 2432 = 287*j for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -11*g - 1. Let i(a) = a**2 + 6*a - 9. Let u be i(-7). Is 7 a factor of p(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -3*n**3 + 13*n**2 + 10*n + 4. Let s be q(5). Let c(d) = d**3 - 5*d**2 - 4*d - 8. Let m be c(6). Let g = m - s. Solve g*r - 2*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 8*f - 2*f. Which is bigger: -6\/25 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 884857.6 nanograms to milligrams.\nAnswer: 0.8848576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.07 + 0.07. Let d = 416.471 + -418.471008. Let i = k - d. Round i to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.65435 + -0.48084. Let c = y - -1.0678. Let q = c - -0.069. What is q rounded to 4 decimal places?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(7 - 6)*3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqrrqttrttrttrrrrtqt. Give prob of sequence tt.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q - 3. Let x = -19 + 24. Suppose 5*j - 35 - x = 4*r, -2*r + j = 20. Is v(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -424*s**2 - 11780 + 23593 - 11813.\nAnswer: -424*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 5*b - 208, 2*w + b = 5*w - 196. Is w a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -5. Let k = 7169 + -7174. Let v(s) = 6*s**2 - 2*s. Let j(o) = -18*o**2. Let y(q) = q**2 + q. Let g(z) = -j(z) - 5*y(z). Calculate a*g(r) + k*v(r).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 977, -8.1, 1.51 in descending order.\nAnswer: 977, 1.51, 0.2, -8.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 53200 to the nearest one thousand.\nAnswer: 53000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*m - 0*m. Let l = -40\/183 - 6569\/366. Calculate the common denominator of l and (m\/(-6))\/(21\/(-450)).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -91*q**2 - 3. Let f(d) = 34*d**2 + 1. Let j(i) = 8*f(i) + 3*g(i). Give j(5).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 6*h**2 - 3488*h - 4. Let q(n) = 184*n. What is q(d(t))?\nAnswer: 1104*t**2 - 641792*t - 736","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*n + 942 + 1307. Let z = n - 126. Is 11 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11914 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 531?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 50 and 59290?\nAnswer: 296450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 + 15.96.\nAnswer: 15.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1708 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25702 = 420*m + 310*m - 60438 for m.\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8785*x + 2*d - 24 = 8787*x, -4*x - 4*d - 13 = -d for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = 12 - 28, -4 = -b - l for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2452, 2464, 2476, 2488, 2500?\nAnswer: 2512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/2*1)\/((-54)\/(-164484)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -104 (b) -5 (c) 1 (d) 392 (e) 0.9 (f) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2086 smaller than -2086?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 2*i**2 + 2*i - 2. Let f be u(-3). Does 4 divide 10*f - (-36)\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.15 + -0.06. Let w = -0.032 - n. Let g = 0.122097 + w. Round g to five decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22a (base 11) to base 8\nAnswer: -422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2752\/13 less than or equal to 212?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 5*u = -6888, -3*u - 4557 = -5*q + 4127. What is the least common multiple of q and 10?\nAnswer: 8660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*g - 5*x, x = 4*g + g - 10. Let l = -7 - -12. Solve -g*n - 12 = -l*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 182 - 418 - 34 - 535 - 149 - 3*y**2 to v*y**2 + i*y + m and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1707574009 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45001 = 3*f - o, o + 20113 = -f + 5114. What is f rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*c**2*j**4 - 1700*c**2 - 9*c*j**4 + c*j - 3*j**2 wrt j.\nAnswer: 216*c**2*j**2 - 108*c*j**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 152\/16 + (-9)\/6 + 1. Let o be y\/(-12) - (-27)\/36. Sort o, 2, -3.\nAnswer: -3, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of -11*b**2 - 6*b - 76\/5*b**5 - 1\/3*b**3 + 44 + 0*b**4. What is the second derivative of p(g) wrt g?\nAnswer: -912*g**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - h. Let x(q) = 14*q**2 + 2*q. Let n(g) = g**2 + 106*g + 310. Let t be n(-3). Determine t*x(k) + 3*l(k).\nAnswer: 17*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 4 + 2*i + 0 - 2 - i. Let l be o(-3). Let a = 5 + l. Does 3 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/18 and -69\/20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-58465)\/(-6) + 16\/(-96). Suppose d = 3*d - 3*f - 19483, 0 = -d - f + g. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 2*p. Let n be (p\/3)\/(2\/(-1)). Solve n = -6*b + b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 165019*d**2 - 4*d**3 - 165017*d**2 + 0*d**3 - 19*d to the form r*d + n + a*d**2 + c*d**3 and give r.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 55220000 to the nearest 1000000.\nAnswer: 55000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (66 - -2) + 9 - 61?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21906921 - -21909127.3006. Let k = 2207 - g. Let y = 0.7 - k. What is y rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-19)\/4 + 4)\/((-36)\/48).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4410 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 = -82*y + 78. Solve x + 4 = y*t + 3*x, t + 12 = -4*x for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) - (sqrt(300) + -5*(sqrt(300) - 1*sqrt(300) - sqrt(300)) + sqrt(300)) - sqrt(300))\/sqrt(10))\/((sqrt(294)*3 + sqrt(294))*2).\nAnswer: -sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 937.8281 nanograms?\nAnswer: 0.0000000009378281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/514, -1, 3, -2\/7, 0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/6023824 and -52\/54065.\nAnswer: 331310320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 860221211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 5*d + 4 = 4*n, 3*d + 28 = 4*n. Solve -2*q - n = -4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - (-26)\/(-8) - 92\/16. Let k be 4\/(-10)*a\/(-48)*-5. Put 0.1, k, -4, 3 in decreasing order.\nAnswer: 3, k, 0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-3 + -2 - -51) - 18\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 706 at most 784?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 24752\/(-833) + 64\/(-28) + 2?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z - 481 + 506, -109 = -43*i - 4*z for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -269 or -268?\nAnswer: -269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + w - 1. Let i = 4 + w. Suppose -i*r + 98 = 38. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6120, 6118, 6116, 6114?\n\"Answer: -2*i + 6122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(153) - sqrt(153))*2 - (sqrt(153) - -4*-2*sqrt(153)))\/((-1*sqrt(27)*5)\/sqrt(3)).\nAnswer: -7*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5346, -10670, -15994, -21318?\n\"Answer: -5324*i - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of 1\/60*s**5 + 0*s**3 + 0*s + 38*s**2 + 0 + 0*s**4. Let i(j) = 37*j. Give d(i(q)).\nAnswer: 1369*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of -j**7\/210 + j**6\/30 - j**5\/10 + j**4\/6 - j**3\/6 + 10*j**2. Suppose b(o) = 0. What is o?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42503 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 q = 579 - 544. Solve 0 = 4*o - 5*k, -3*o - 3*k - 2*k - q = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 361 + -339. What is the greatest common divisor of a and 2486?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 479537, 479536, 479535, 479534, 479533, 479532?\nAnswer: 479531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 30\/12 + 1\/2. Solve j + b - 5 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1616\/(-10)*(-12 + (-232)\/(-16)). Let i be (-7 + g\/(-60))*(-90)\/20. Factor -26\/15*n**2 + 16\/5*n**3 + 4\/15*n - i*n**4 + 0.\nAnswer: -2*n*(n - 2)*(3*n - 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w**3 - 9*w**2 + 2*w - 33. Suppose -f + 11 = -2*h, -92 = f - 5*h - 112. What is i(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35127048 a multiple of 264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 + 58*s**2 - 62*s - 145. Let v = -570 - -511. What is the remainder when c(v) is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**4 - 4*w**3 + 8*w**2 + 4*w - 6.\nAnswer: -2*(w - 1)**2*(w + 1)*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*c - 1653 + 1647 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-8) - 363\/(-12). Calculate the common denominator of (-19)\/(h\/(-3) + 0) and -23\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven eighths of a decade?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 188\/55 (b) -0.4 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14708 a factor of 2460368948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + p - 7 + 19 = 0, 0 = p for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25612 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(85) + sqrt(85)*-1*6 - 3*(sqrt(85) + -1*sqrt(85))))\/((5*2*sqrt(50))\/((1*sqrt(110))\/sqrt(11))).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 166 + 16?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*(27\/36)\/(18\/12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -722863499.2 + -0.08\nAnswer: -722863499.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - 9614664?\nAnswer: -9614668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 4 + 0 + -11 + 8\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0351 + -0.5351. What is the nearest to 2\/9 in -1, c, -2\/31?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 58 + -38 + -10 + 3\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/(sqrt(200)*1) + 6*sqrt(12)\/sqrt(54).\nAnswer: 21*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*f*l*z**3 + f*l*z - 5*f*z**3 + f*z + 1297*f - 221*l*z**3 - 24*l*z - 1 wrt z.\nAnswer: 24*f*l*z - 30*f*z - 1326*l*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 3*a + 14 = 2*i, 4*a = -3*i + 38. Suppose -4*q - i = 10. Sort -3, q, 3 in increasing order.\nAnswer: q, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -176 + 140. Let m(f) = f**2 + 32*f - 43. What is the tens digit of m(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/2 (b) 2 (c) 705\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -616, -578, -478, -286, 28, 494?\n\"Answer: 5*t**3 + t**2 - 622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 2) to base 16.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of 5*c**4\/12 - 3*c**3\/2 + 4*c**2 - c. Let j = -187 - -196. Let s(o) = -o**2 + 2*o - 2. Calculate j*s(r) + 2*n(r).\nAnswer: r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - -5 - 3 - (-8)\/(-8). Suppose 0 = r + 3*d - 140, -r - h*d + 283 = r. Calculate the remainder when r is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3487\/61354 + -31075523495\/1104372. Let o = 28135 + b. Calculate the common denominator of o and -1\/44.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**4 + a**4 + 0*a**4 + (-4*a**2 - a**2 + 3*a**2)*(-6*a**2 + a**2 - a**2).\nAnswer: 10*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -124 (b) -0.1 (c) -728\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n + 26. Let g be ((-12)\/15)\/(8\/(-20)). Let x be 1\/((-1)\/(-2)*g\/7). Let s be f(x). Calculate the highest common divisor of 209 and s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 40\/((-4)\/(8\/(-1))) + 4. Calculate the remainder when (-9)\/(c\/(-20) + 2 - -2) is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*g**2 - 4*g**2 - 16*g**2.\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 5*c**2 + c - 8. Let m(v) = v**3 + 4*v**2 + 2*v - 8. Let u(r) = -2*m(r) + 3*s(r). Let i be u(-7). What is the units digit of 1028\/6 + -2 + i\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2012.47 + -2024. Let j = 519.77 - 522. Let c = g - j. Round c to 0 decimal places.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + w - 58 = -5*y, -206 = -3*w + y. Calculate the greatest common factor of w and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 6:47 AM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 7*a - 20. Suppose -2*h = 10*i - 5*i - 8967, 0 = 5*h + a. Round i to the nearest one hundred.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*(-1 - 68\/(-60)). Let z = -0.34 + 0.56. Let l = -15.22 + z. What is the smallest value in l, y, 3\/2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1726 is divided by 72?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4 + d - 5 - 12 + 3 wrt d?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 334 - -11017. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-2\/13)\/k**(-7\/4)*k\/((k**(-2\/7)*k)\/k)*k**13 assuming k is positive.\nAnswer: k**(5781\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 62\/8 - 120\/(-96)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*y + 4*y**2 - 9*y**2 - 1 + 0*y**2 in the form t + d*y + v*y**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -107.612 - -108. Let t = m + 0.012. Which is the smallest value? (a) 3\/8 (b) t (c) 3\/5 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)\/sqrt(7)*5*-2 + 0)**2.\nAnswer: 1900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.18522307 to four decimal places.\nAnswer: 5.1852","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -304*r - 429 = -6813 for r.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 617519243 to the nearest integer?\nAnswer: 24850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 389 + -270. What are the prime factors of c?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ft when two letters picked without replacement from {f: 3, t: 15}.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 19 = o + 4*o, 102393*z - 102397*z = -5*o + 31 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 958 (base 13) to base 11.\nAnswer: 121a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - 27*i + 56. Let d be q(25). Suppose -14*g = -d*g. Factor 1\/2*k + g + 1\/2*k**2.\nAnswer: k*(k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -5*t**2\/2 - 940445*t\/2 - 470220 = 0.\nAnswer: -188088, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p**(2\/25)\/p))**(-11\/3))**(-12))**(-5\/12) assuming p is positive.\nAnswer: p**(-176\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 0*y + 5. Suppose -i - y + 2 = -5*x, -2*x = -2*i - 6. Let k be (-1)\/(16\/20 + x). Solve 0 = k*o - 5 + 30 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-63)\/(-28))\/9*24.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(468) + (sqrt(468) - (0 + 1 + sqrt(468))))*2.\nAnswer: -72*sqrt(13) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -49691790 to the nearest ten thousand.\nAnswer: -49690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 61270*z - 857795. What is w(14)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 0 + (sqrt(99) - (sqrt(99)*2 + sqrt(99))).\nAnswer: -6*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5884, 0.00241 in descending order.\nAnswer: 5884, 3, 0.00241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5166 = -39*h. Calculate the highest common factor of 615 and h.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 12 = 0, 3*l = -3*a + 12208 + 12002. What are the prime factors of a?\nAnswer: 2, 37, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4730172 - -33782\nAnswer: 4763954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -656*n + 700*n + 572 = 0 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 11724\/5 + (-9 - 1012\/(-110)) + 5. Calculate the highest common factor of r and 94.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 276 divide 831628572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzpv when four letters picked without replacement from {z: 3, v: 7, b: 2, p: 3, d: 4}.\nAnswer: 7\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n - 7. Let x be h(8). Solve 2*a = -5 + x for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304720 divided by -7?\nAnswer: -304720\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1273002?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 + 1\/(-7) - 6235\/(-35)?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 5*n - 3*n + 474 - 823 + 414. What is a(-33)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -1184*f - 21368. Give g(-18).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(297) + ((sqrt(297) - (sqrt(297)*1 - sqrt(297) - sqrt(297))) + sqrt(297) - sqrt(297) - sqrt(297) - sqrt(297)))\/sqrt(9))\/(sqrt(48)\/sqrt(4)).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18538*j**3*m - 9*j**3 - 2*j*m - 13728*j wrt m?\nAnswer: 18538*j**3 - 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(210)\/sqrt(7)*-3)\/(-3*sqrt(1000))*4)**2.\nAnswer: 12\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 228703 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (90\/4)\/(-9)*2\/(-30)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.3, -5\/6, -1.39306 in increasing order.\nAnswer: -1.39306, -1, -5\/6, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/2)\/(12\/32). Suppose -p - 6 = -4*p - f*c, c + 7 = -5*p. Which is greater: p or -9\/7?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**2 - 518*p + p**2 + 518*p.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aam when three letters picked without replacement from {a: 2, g: 1, j: 1, o: 1, k: 1, m: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -233*j = -231*j - 22. Let c(v) = v**2 - 11*v - 10. Determine c(j).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -4*j - 5. Give f(23).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.4916 + -0.0084. Let q = -457 - -457.9. Which is the biggest value? (a) -0.2 (b) -7 (c) q (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.7 - 6.7. Put 3, -2\/7, -1\/5, r in decreasing order.\nAnswer: 3, -1\/5, -2\/7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9018 divided by -7884\nAnswer: 167\/146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 16 = 2*f, 4*f - 3*z = 4 + 25. Let c(w) = 2*w**2 - 6*w - 3. Let a(h) = 4*h**2 - 13*h - 7. What is f*c(t) - 2*a(t)?\nAnswer: 2*t**2 - 4*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 9. Let f be y(0). Suppose -4*b - 25 = b. Let h = f - b. What is the lowest common multiple of 20 and h?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15046139\/(-33) + (-4)\/6. Let h = -456418 - r. Let k = -472 - h. Calculate the common denominator of k and 89\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-4)*w*w)**(-1\/11)*w**6*(w*(w\/(w*w**(2\/15)))\/w)\/w*w)**(-1\/15) assuming w is positive.\nAnswer: w**(-998\/2475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-306)\/357)\/((2\/7)\/2). Let k(b) = 62*b + 366. Let i be k(o). Let z(s) = -2*s - 6. Let x(q) = 2 - 2 - 1. What is i*x(m) + z(m)?\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 10:20 PM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -31190813 rounded to the nearest ten thousand?\nAnswer: -31190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189414241 = 3*i + 4*t - 103085747, 0 = -5*t - 15. Suppose -16*j - i = -11*j. What is j rounded to the nearest one million?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 680 = 9*b. Does 15 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19289217 by 6429739.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2.7*46006\nAnswer: -124216.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 139046411*v**6 - 80447564*v**2.\nAnswer: 16685569320*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((r**(-13)*r)\/r)**28)**(-1\/15))**(17\/5))**3 assuming r is positive.\nAnswer: r**(6188\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 32.7696 and 5.\nAnswer: 37.7696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101011011001110010010 + -101?\nAnswer: -101011011001110010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of -q**4\/3 + 20*q**2. Let w(p) = -15*p. Calculate f(w(n)).\nAnswer: 120*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9477462 to the nearest integer?\nAnswer: 3079","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (((-32)\/224)\/((-8)\/6))\/((-40)\/(-140))\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -1. Let x(u) = 0*u + 2*u**p + 0*u + 0*u**2. Let r(d) = -d**2. Calculate r(x(a)).\nAnswer: -4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 4:20 AM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 2*m + 2 + (-2*m - 3 + 3)*(-3 + 6 - 1) + 3*m - 5*m + m + (4 - 7 + 4)*(46 - 46 - 10*m) + 2*m - m - 2*m.\nAnswer: -18*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 + -7. Suppose -4*b = -p - 8. Let k(z) = 2*z + 2. Let r be k(3). Solve -b*q = -q + r for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, 3, -1, -8 in decreasing order.\nAnswer: 3, -1, -8, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -103, -241, -435, -685?\nAnswer: -991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u + 27*u = 210. Solve 7*x = -u*x + 65 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-209)\/(-152)*8?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/649 and 85\/51*3\/(-3540)*-306.\nAnswer: 1298","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33000 divided by -375?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 - -3b?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {b: 13, e: 5}.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, y: 13, a: 2}. What is prob of picking 2 y and 2 a?\nAnswer: 13\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do 161 and 7824\/49 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -171, 0.3, 3, 1359?\nAnswer: -171","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(7\/3))\/v)**(-9) assuming v is positive.\nAnswer: v**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3 - 83*a**2 - a + 83.\nAnswer: (a - 83)*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-200158)\/(-8) + (-450)\/600 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-4)\/(c**(-4)*c)*(c**(-3\/5)*c)\/c**(3\/2) assuming c is positive.\nAnswer: c**(-21\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 396 and 1287?\nAnswer: 5148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/24 of a decade in months?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1749 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2082*f**2*g**3 - 3356*g**3 wrt f?\nAnswer: -4164*f*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 2.02818cm?\nAnswer: 0.0202818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1303012 to the nearest integer?\nAnswer: 1141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, p: 2, l: 3, i: 8, h: 2}. Give prob of picking 1 h and 1 i.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 - -46. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 5 + 2 + (4 + -2 - 8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 75\/15 - 2*1\/2. Which is the nearest to -0.1? (a) -3\/5 (b) 0 (c) q (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-5)\/2 + 0)*-2. Let y(d) = d**3 - 7*d**2 + 7*d + 2. Let o be y(m). Let j = o - -19. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of -3*f**2\/2 + 80*f - 126. Let i be m(26). Solve 6\/7*x**4 - 12\/7*x**3 + 6\/7*x**i + 0 + 0*x = 0 for x.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -1058*p**2. Let s(z) = -703*z + 1394*z - 688*z. Give r(s(m)).\nAnswer: -9522*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -49 - -32. Is k at most as big as -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11 - (0 - 2)) + (-6 - -14 - 7)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 52.8 and -890.89.\nAnswer: -838.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a kilometer in meters?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52\/33 and 35\/1737?\nAnswer: 19107","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - h + 8 = 0. Let t be 1 - (-44 - 0)\/h. Let g = -13 + t. What is the smallest common multiple of 14 and g?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 30.630412 to one dp.\nAnswer: 30.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*l**2 + 149 - 149 + 115*l**2.\nAnswer: 121*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = 5*h - 79 + 41, 2*h - 167 = 15*w for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, -0.3, 5, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4931 divided by -2392\nAnswer: -4931\/2392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -517110?\nAnswer: -517115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of -m**5\/60 + m**4\/24 + 11*m**3\/3 - 3*m**2. What are the prime factors of v(0)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 52 - 47. Let y = v + 47. Let h = 49 - y. Which is bigger: h or -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 3*z = 21, -2*r + 3*z = -0*z + 11. What is the common denominator of (r\/20)\/((-28)\/105) and 82\/33?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 124421, 124416, 124407, 124394, 124377, 124356?\n\"Answer: -2*f**2 + f + 124422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -67*u**3 - 2*u**2 + 1. Let i be t(-2). Let n = 3167\/6 - i. Let h be ((4 - 1) + 1)\/(-2). Is h at least n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2567598.5800245 + -2567598. Let b = -0.58 + t. Round b to 6 decimal places.\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 362, -2, 0.1, 0.07?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mjhm when four letters picked without replacement from hmhmhhhhjjhjhjhhjj?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3264 divided by 3\nAnswer: -1088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + 8*i + 47. What is v(-13)?\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 6 - 3)*((0 - 2 + 4)*(-3*j + 3*j + 2*j) + (1 - 3 + 1)*(-2*j + 0*j + j) + j + 0*j + 10*j) to s + p*j and give p.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1310*b + 764.\nAnswer: 1310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -66? (a) -3 (b) -1 (c) -3\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1\/6, -4, 0.06, 3?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-3))\/5*-1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 times 3?\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*5*(66 - -4)\/7. Let f = -34 + d. Is 2 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2622606924 to the nearest integer?\nAnswer: 1379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 965?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1620 - 550. Is 10 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3102*t - 23206 - 66139 - 6244 = 56409 for t.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -52 less than -15723\/310?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16758 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/17139? (a) 1 (b) 5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sd when two letters picked without replacement from {w: 2, s: 2, c: 1, d: 4}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*p - 95 = -17*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28396 > 28395?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, l: 1, q: 2, n: 1}. What is prob of sequence nw?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2006745124 to the nearest integer?\nAnswer: 1261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23365 - 23367 - 6*u**3 - 2*u**2 + u**3 - u to m + b*u**2 + y*u + c*u**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-45)*-2)\/((442\/(-78))\/(-17)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 4*w - 16 = 0, -2*s - 3*s + 36 = -3*w. Let -3*h**5 - 15*h**2 + s*h**3 + 0 + 3*h**2 - 3*h + 6 + 6*h**4 = 0. What is h?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eei when three letters picked without replacement from {e: 9, i: 5}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 131\/10 (b) -2 (c) 1 (d) -17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 204674453?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 102, -6, -4, 5, -3 in increasing order.\nAnswer: -6, -5, -4, -3, 5, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*n + 2*n - 3*n + (-2 + 3 + 0)*(-3*n + 7*n - 2*n) - 4*n + 5*n - 4*n)*(-n + 4*n - 4*n)*(-1 + 0 + 2) in the form r*n + w*n**2 + m and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 613*d - 1250. Let y(q) = 204*q - 469. Determine 3*s(p) - 8*y(p).\nAnswer: 207*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 67954524 to the power of 1\/2, to the nearest integer?\nAnswer: 8243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 2. Let x be (7\/(-14))\/(2\/(-4)). Let f(h) = h - 6. Let y be f(8). Put x, y, n in descending order.\nAnswer: y, x, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21880 - -65639\/3. What is the second smallest value in z, -53, 5, 1\/6?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 6:26 PM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 4627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -5*r - 4*h + 42, -4*r = h - 78. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -5*u**2 - 46*u + 5. Let h(n) = n**2 + 9*n - 1. Let w(z) = 11*h(z) + 2*y(z). Let p = 54 - 29. Let x = -31 + p. Calculate w(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 times 0.52206?\nAnswer: 52.72806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -3*h**2 - 5*h - 5. Suppose -q + 0 = -2. Suppose q*g - 18 = -6. Let u(j) = 4*j + 2*j + j**2 + g + 3*j**2. Give -6*r(b) - 5*u(b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*w = 187 + 229. Solve 15 = -27*g + w*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13799 + 13813. Solve -10*f + b*f - 3*q = 4, -4*f - 5*q - 28 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - 5*o**2 - 7*o - 31. Calculate s(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -191.7 - -416.6. Let k = n - 225. What is the biggest value in 3, k, -1\/4, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9505 + 6158. What are the prime factors of v?\nAnswer: 3, 23, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 6.6. Let m = 136 - 134. What is the nearest to m in -0.4, 0.2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - (-32 - -1) - 20.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.07 - -0.07. Let m = -37 + 36. What is the nearest to l in m, -0.4, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -50. Is 891\/7 - (-12)\/p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 6*z**2 - 2*z + 7. Let y be j(6). Suppose 3*q + 3*s + 3 = -0*q, -q - 6 = -4*s. What is the second biggest value in y, 2\/5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 11*h**3 + 4*h**2 + 2*h. Let n(b) = 23*b**3 + 9*b**2 + 4*b. Determine 4*n(c) - 9*t(c).\nAnswer: -7*c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*g**2 - 11*g**4 + 328 + 381 - 4*g**2 - 416 wrt g?\nAnswer: -44*g**3 - 26*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c*f**2*h**2 + 6*c*f*h**3*r**2 + 7*c*f*h*r**2 + 3*c*h**2*r + 42*f**2*h**3*r**2 + f*h**2 - 11*f*r**2 wrt h.\nAnswer: 36*c*f*r**2 + 252*f**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*b + 761 - 33 = 0 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 33a0c + 0?\nAnswer: 33a0c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*k - 243 = 160*k for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/5)\/((-24)\/80*1). Let t(s) = s + 9. Let w be t(-4). Let k = 8 - w. Solve k = q*i - i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 713827913 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -112 + 49. Let h = k + 64. Sort h, -2, -7 in increasing order.\nAnswer: -7, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*u - u - u as r + a*u and give a.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u - 1. Let a(x) = -x - 1. Let l(r) = -2*a(r) - j(r). Let h be ((-35)\/50)\/7 - 217\/(-70). Calculate l(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1518 - 1511.49. Round c to one dp.\nAnswer: 6.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5369 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: List the prime factors of 188281423.\nAnswer: 11, 17116493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-21035)\/80*32\/7480. Let r = l + 14\/187. Is 0 at most r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119 = 4*r + 11. Let b be (-6)\/r - 13\/(-18). Suppose -15*x + 20*x + 18 = v, 4*x - 5*v = -6. Which is bigger: b or x?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*f - 129 = -17*f. Let w = 86 - 3. Let k = w + f. Calculate the remainder when 79 is divided by k.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v + 9. Determine h(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -2\/65757?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -13573105, -27146207, -40719309, -54292411, -67865513?\n\"Answer: -13573102*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.01, -0.1, 5\/6, 8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -43 - 3*g - g - 3*g + 6*g in the form c*g + j and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 26, 47, 72, 101, 134, 171?\nAnswer: 212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -7. Suppose r*z = -3 + 11. Suppose -z*q - 4*x + 12 = 0, -5*q - 3*x - x + 18 = 0. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*b**2 + 4*b**2 + b**2)*(-30 + 270*b - 52 + 83) + 2 + 6 - 2*b**3 - 4 to u*b + y*b**2 + f*b**3 + z and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -2069.728417 to the nearest integer.\nAnswer: -2070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d + 160. Let k be w(0). Let a be (-12)\/36 - (-22)\/3. Suppose 72 = a*m - 68. Calculate the greatest common factor of m and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 2*r + 7*r - 52985 = 0, 3*z + r - 31797 = 0. List the prime factors of z.\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197890322 to the power of 1\/2, to the nearest integer?\nAnswer: 14067","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43 + -41. Let o(z) = 0*z - j*z + 5*z**2 + 2*z. Let y(p) = -2*p. Determine y(o(t)).\nAnswer: -10*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 + 12*k + 13. Let h(s) = -10*s**3 - 2*s + 1. Let n be h(1). Let i be t(n). Which is bigger: i or 4\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*x + 7 - 7. Suppose x = -5*u + 59 - 4. Calculate the remainder when (-2)\/(-6) + 652\/6 is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 121404988597.4610028 + -121369781291.461. Let b = 35207297 - p. Let i = b - -9. Round i to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 4*m**2 - 7*m + 4. Calculate n(7).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.762376kg in micrograms?\nAnswer: 5762376000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u + 5*z - 4, 40*z - 39*z + 16 = 5*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*h - 43*h + 678*h)*(-7*h + h + 2*h).\nAnswer: -2660*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -23 - 41a?\nAnswer: -442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 122 or 35181?\nAnswer: 122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 590*i = 594*i + 24 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 395 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 12 = -4*i, -2*i = -3*r + 1 - 3. Solve -4*v - 22 = -r*l, -3*v = 2*v + 3*l for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12240 (base 6) to base 13\nAnswer: -aa4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2242*u**3\/7 - 47076*u**2\/7 - 179234*u\/7 + 480\/7 = 0. Calculate u.\nAnswer: -16, -5, 3\/1121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 2*t - 33, -4*r + r = -3*t + 90. Let m = 42 + r. Suppose 0*b = -5*b + m. Is b not equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 2)*(-217*f**2 + 217*f**2 + 33*f**3)*(f**2 + 2*f - 2*f).\nAnswer: 66*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/331 in 1\/5, -2, 1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 4*u + 31, 3 = -3*i + 2*u + 2. Let h = i + 6. What is the third derivative of g**2 - h*g**2 + 2*g**5 + 3*g**2 wrt g?\nAnswer: 120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00066138231 rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -750*h + 3679. What is p(5)?\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/((-48)\/10)*9. Calculate the greatest common divisor of 84 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u**3\/4 - 37015*u**2 + 17407565*u = 0.\nAnswer: 0, 478, 29134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9801389.\nAnswer: 13, 109, 6917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1677024443 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 - -23. Is 5 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1302 and 1302?\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 20*s - 125. Let u(f) = -7*f + 42. Let v(g) = -4*k(g) - 11*u(g). Let i be v(12). Solve -i*c - 4 = 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - 366\/(-3)) + -3 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*4*sqrt(85) - 3*sqrt(85)*-3)\/(sqrt(5) - (4*sqrt(35))\/sqrt(7) - (sqrt(500)*-2 + sqrt(5))).\nAnswer: 25*sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3*c - 4. Let a(k) = -4*k + 5. Let w(m) = -4*a(m) - 5*d(m). Let y(b) = 14*b. What is y(w(z))?\nAnswer: 14*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 214130+-5\nAnswer: 214125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -12637*k - 101179. Determine m(-8).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 142781 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*n - 10*n - 2*n)*(2*n**2 - 1 + 1)*(786 + 266*n - 786)*(-3 + 5 - 4)*(1 - 1 - 1) to the form i + q*n**4 + y*n + k*n**2 + f*n**3 and give q.\nAnswer: -7448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -12*f. Let q(z) be the first derivative of -4*z**3\/3 - 167. Give r(q(b)).\nAnswer: 48*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 215 + 639?\nAnswer: 84e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**4 - 92*a**3 - 100*a**2 + 92*a + 96.\nAnswer: 4*(a - 24)*(a - 1)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5939 - 5394. Which is bigger: -1\/5 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + 1. Let v(w) = 13*w**2 + 2*w - 4. Let q(g) = 4*n(g) + v(g). Let a(j) be the first derivative of 2*j**3\/3 + 2124. Calculate q(a(o)).\nAnswer: 68*o**4 + 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*p + 2 - 8 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1242*k = -358021 + 307099 for k.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 91655, 186776, 281921, 377102, 472331, 567620, 662981, 758426?\n\"Answer: 2*t**3 + 95107*t - 3454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1153177 to the power of 1\/3, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1359136 to the nearest integer?\nAnswer: 1166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2105*b - 1120 = 2101*b. Calculate the least common multiple of 35 and b.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 151308539 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p + 28. Let u be w(7). Round u to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001011 - 11001111110010110?\nAnswer: -11001111101001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of 0 + 32\/15*m**3 + 139\/50*m**5 + 97\/30*m**4 + 4\/5*m**2 + 19\/15*m**6 + 3*m + 5\/21*m**7. Factor r(c).\nAnswer: 2*(c + 1)**3*(5*c + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 81 + -8?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 3\/39120361?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(68) - (-4*-2*sqrt(68) - sqrt(68) - sqrt(68) - sqrt(68))) + sqrt(68)*1*-5)*-2)\/((sqrt(80)\/(1*sqrt(10)))\/(sqrt(2) + sqrt(4)\/sqrt(2)*2)).\nAnswer: 54*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39 - -47. Suppose 5 = l*x - 259. Let j(n) = x - 33 + 3*n. Let r(i) = 4*i. What is j(r(y))?\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of -b + 1\/2*b**2 + 46. Let r(q) = 32*q - 20. Determine -20*k(o) + r(o).\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3804 and 6.\nAnswer: 3804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -176\/3 - 1\/6*p**3 - 61\/3*p + 25\/6*p**2 = 0. What is p?\nAnswer: -2, 11, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.6230207kg?\nAnswer: 0.0006230207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27)\/(sqrt(27)\/sqrt(3)))**2 + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(-14\/5))\/l)**34)**(36\/5) assuming l is positive.\nAnswer: l**(17136\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -86.1 - -79.9. What is the second smallest value in -3, h, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/200*5)\/(2\/(-12)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 + 425 = 38*j + 54*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*s, -m + 285 = 4*m - s. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - 40*w + 76. What is p(-42)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -8*l**2 - 7*l - 7. Let z be m(-7). What is the remainder when 4\/(-10)*z\/7 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 2.99, -1\/8, 0.5, -148, -2\/9?\nAnswer: 2.99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -222.00093 - -222. Round o to four decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 628, 1175, 1730, 2293, 2864?\n\"Answer: 4*t**2 + 535*t + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 divided by -446.\nAnswer: -41\/446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 2*x - 76. Suppose -2*i - 4*a = -3*a - 9, 4*i - 2*a - x = 0. Let t = 40 + -22. Calculate the least common multiple of i and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 773108 is divided by 363.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pkphphkhkhh. Give prob of sequence pph.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-4)*(t*t**(4\/7))\/t)\/(t\/(t*t\/(t\/((((t\/(t*t**(-2\/7))*t)\/t*t)\/t)\/t))))**(-4\/13))\/((t**(1\/2))**(-5))**(-18\/13) assuming t is positive.\nAnswer: t**(-516\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) + (sqrt(180) - -6*sqrt(180)) + -4)*3.\nAnswer: -12 + 144*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16263*r**3 - 26*r**2 + 5*r + 15 wrt r?\nAnswer: 97578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5483125861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2798 - 1674. Suppose 7*f = 3*f + q. Suppose 148 = t + 3*s, t + 3*s = -t + f. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*j - n + 22, -4*n + 5 = 3*j. What is the third smallest value in -1, 68, j?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ab - -3ddc?\nAnswer: 3d31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1188 is divided by 87.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 28*v**2 + 43*v - 402. Let p be t(29). Solve 4*y + 1 = -5*k, -4*k + y - 5*y - p = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (-7 - -56) - (-10 + (-5 - -30)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4481, -8961, -13441?\nAnswer: -17921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = 5*k - 5*j + 7, 3*k + 2*j - 63 = 0. Solve -58*o = -79*o + k for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 8*k**3 + 3*k**2 - 3*k + 4. Let w(j) = 9*j**3 + 4*j**2 - 4*j + 5. Let i(z) = 4*h(z) - 3*w(z). Let u be i(-1). Is u at least as big as 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -4*l**2 + 2*l + 4. Let b(i) = -i**2 + i + 5*i - 6*i + i. Calculate 2*b(x) - h(x).\nAnswer: 2*x**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/5, -1, -1\/6, 1\/5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -109, -231, -367, -523, -705, -919, -1171?\nAnswer: -1467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -22\/3, -9, -1, -2\/3 in decreasing order.\nAnswer: 0, -2\/3, -1, -22\/3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 46*i**5 + 9*i**2?\nAnswer: 2760*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.2 smaller than 0.08?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 345 a factor of 206160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000942 to six decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 17 - (4 + 45 + -59)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 15140331\nAnswer: -4542099.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 929.\nAnswer: 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000003081 rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/24 and -49\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 640883, 640866, 640823, 640742, 640611, 640418, 640151?\nAnswer: 639798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i**2*j**2*r + 2*i**2*j**2 + 16*i**2*r + 66*i**2 + 2*i*j**2*r - 156*i*j**2 + 81*r wrt i.\nAnswer: 2*j**2*r + 4*j**2 + 32*r + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 297*y - 4. Suppose 6*f = 8*f + 228. Let r = f + 117. Is j(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 3*o + 2. Let z be s(-3). Let q = z - 7. Suppose 2*i = 3*i - 1. Sort 3, i, q in decreasing order.\nAnswer: 3, i, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 283 = 2*b, 0*w - 5*b = w + 269. Let l = 150 + w. Let m = 128 + l. Let a(f) = -f**2 - 2*f. Calculate a(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -8*i + 9. Let l(k) be the second derivative of 7*k**3\/3 - 967*k. What is l(u(g))?\nAnswer: -112*g + 126","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -79*q - 2*q**2 + 55*q + 3 + 243*q**3 - 3 wrt q.\nAnswer: 1458","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*z + 2295 = 153. Let i = z + 72. Solve 23*y + 2 = i*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.20857 + 0.29143. Sort w, 13, 0 in ascending order.\nAnswer: 0, w, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 11 = 4*b + 5, 4*r = 20 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -25268*z**2 - 6*z - 1. Let b(t) = 39*t**2. What is w(b(y))?\nAnswer: -38432628*y**4 - 234*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -3*n**2 - 2. Let f(u) = -6*u**2 - 3. Give 4*f(b) - 7*g(b).\nAnswer: -3*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 12 (b) 8.7 (c) 1\/11 (d) 5.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dsddddsd. Give prob of picking 2 s.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 1. What is l in 3*l**2 + y*l**4 - 16*l**3 - 3*l**4 - l + 13*l**3 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 10:05 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*h**2 + 7*h**2 + 38 - 7*h + 8*h**2 as r + n*h + v*h**2 and give r.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -90706358 to the nearest ten thousand.\nAnswer: -90710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = -17*q + 410. Let g = 89 - q. What is the highest common divisor of g and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -2*f + 56. Suppose a + a - f = 0. Find the first derivative of a + 11*t - 6 - 12*t wrt t.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000069367165 to 6 dps.\nAnswer: -0.000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 - 20.1. Let q = n - 1.5. Sort q, -3, 5 in increasing order.\nAnswer: -3, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -3 + sqrt(80) + 1 + -4*(1 + sqrt(80)) + 1 + -1)**2.\nAnswer: 120*sqrt(5) + 745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**3\/4 + 6159*k**2\/2 + 12394467*k\/4 - 128919870.\nAnswer: 3*(k - 40)*(k + 2073)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + -1. Let o = 13 + d. Is o greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6975 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 0 + (-66 - -24 - ((-1 - -4) + -4)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1380.6 - -1381. What is the smallest value in -4, 9, q, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158*s**3 + 53 - 53.\nAnswer: -158*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(52)\/sqrt(2))\/sqrt(2) + 3 + sqrt(13) + 4 + (sqrt(104) + (sqrt(104) - sqrt(104)*-3)*-6)\/(sqrt(392)*-1).\nAnswer: 8 + 37*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -86*j + 18 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**4\/4 + 321*o**3\/4 - 8745*o**2\/4 + 8427*o\/4 = 0. Calculate o.\nAnswer: 0, 1, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 310298336 and 368?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 34*10 - (-5 - 0\/(-6)). What is the greatest common divisor of p and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 PM and 9:23 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*f + 19*f = -60 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1828*l**2*p**2 - l**2 + 200*l*p**2 - 2388*l + 60 wrt p?\nAnswer: -3656*l**2*p + 400*l*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4021326 to the power of 1\/3, to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, p: 7, z: 8}. What is prob of picking 3 w?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, -4, 77098, 2\/9 in ascending order.\nAnswer: -4, -1\/8, 2\/9, 77098","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6038666 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-41)\/(9594\/(-3492)))\/(-1 - 7) and 121\/144.\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-19 - (-6 - 13)) + 201\/((-6)\/(-2)). Sort -1, 2\/3, 3\/7, j, -5 in decreasing order.\nAnswer: j, 2\/3, 3\/7, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 167874663.472611910188 - -1204.527385339812. Let z = 167875848 - o. Let k = z + 20. What is k rounded to seven decimal places?\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, t: 2, w: 7, s: 1, i: 5, n: 3}. Give prob of picking 1 s and 1 q.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -3*s**2 - 54*s + 49. Let u(c) = -c**2 - 18*c + 16. Let t(i) = 4*a(i) - 11*u(i). Give t(-15).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -8*n + 3*w + 560, 2*n - 3*w = 233. Let g = n - 69. Find the second derivative of g*r + 8 - 14 + 6 - 21*r**3 wrt r.\nAnswer: -126*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -21 - 12276257?\nAnswer: -12276300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(209)\/sqrt(99) + 5 + sqrt(19)*3 - sqrt(152)\/(sqrt(8)*1*5)*6.\nAnswer: 5 + 32*sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2 - 533*n - 2 + 539*n. Let t(w) = 222*w. Determine t(x(o)).\nAnswer: 1332*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 5*v + 2. Let c be t(-2). Let w be (4\/c)\/(3\/2). What is the third biggest value in 4, w, 0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q + 5. Let g = -51 + 46. Let r = 2 - -1. Let i(b) = -4*b + 2*b - 3 + r*b + 0. What is g*i(v) - 3*u(v)?\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -212574, -212597, -212620?\n\"Answer: -23*i - 212551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**2 - 3*f**2 - 239 + 248 + f**3 as c + o*f**3 + i*f + d*f**2 and give c.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 10*g**2 - g + 14. Let n be o(10). Suppose -m = 2*y - n, 4 + 6 = 2*y - 2*m. Solve i + 1 = 0, 8*z - 2 = y*z + 2*i for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 2124.\nAnswer: 5\/2124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 565.37 times 0.7?\nAnswer: 395.759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 216557258 by 4085986.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/18 and (0 - 131)\/((-48)\/(-11 + 10))?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2 + 134008*d + 268032.\nAnswer: -4*(d - 33504)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -278 - -282. What is the second smallest value in f, -10, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -59342 * -0.0653\nAnswer: 3875.0326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6281659?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31\/2 - 89\/6. Sort z, 1, 4.\nAnswer: z, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 2. Let i = c - 0. Suppose 4 = -q - 3*q + 5*x, i*q = -3*x + 20. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3917125 is divided by 472.\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52 and 988.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of s**2*w**2 - 1468*s**2*w + 32*s*w**3 - 4*w**3 wrt w?\nAnswer: 2*s**2 + 192*s*w - 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 - 4*m**2 - 3*m - 8. Let r be b(-4). Let j(v) be the second derivative of -1\/7*v**2 - 1\/42*v**r + 0 - 2*v - 2\/21*v**3. Factor j(t).\nAnswer: -2*(t + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f - 1. Let h = 1 - 0. Let o(v) be the third derivative of 1\/3*v**3 + 0*v**5 + 1\/12*v**4 + 0 + 0*v + 1\/40*v**6 - 39*v**2. Determine h*o(m) + 2*p(m).\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, b: 1, y: 2, u: 1, w: 1, v: 1}. Give prob of sequence pw.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 81513*q**4 + 64098 wrt q?\nAnswer: 326052*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -317, -794, -1271, -1748, -2225?\nAnswer: -2702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000110010011010010 - 1100000000?\nAnswer: 11000110000111010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 73976 to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 312174078.\nAnswer: 2, 3, 23, 71, 151, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-78)\/(-1066))\/((-171)\/76*8\/(-6))\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**6*i*i**(2\/19)*(i**(1\/2))**(2\/37))**28 assuming i is positive.\nAnswer: i**(140392\/703)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -2.9. Let f(r) = -3*r**3 + 59*r**2 + 24*r - 78. Let a be f(20). What is the closest to i in a, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -980947\/10 or -98095?\nAnswer: -980947\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a microgram in nanograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 2*sqrt(180) - sqrt(180)) + -1 - (sqrt(180)*-6*-5 + sqrt(180))*-6.\nAnswer: 1 + 1122*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of 16*p**7\/21 - p**5\/4 - 7*p**4 - p**2\/2 + 28*p - 3. What is the third derivative of h(t) wrt t?\nAnswer: 1920*t**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5422894 to the power of 1\/2, to the nearest integer?\nAnswer: 2329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 100 = -2*b + w, 3*b + 166 = w. Let n = -36 - b. 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: -1333 times -0.4\nAnswer: 533.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 31855781 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(5\/2)\/a*a*a*a**(-4\/5)*a**(1\/3)\/(a*a**(-2\/5)) assuming a is positive.\nAnswer: a**(73\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.814, 12, -2, -0.2, -0.8 in descending order.\nAnswer: 12, -0.2, -0.8, -0.814, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + 22. Suppose 28*v - z*v = -312. Is v a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 13.01842t?\nAnswer: 13018420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u. Let k(t) = 7*t - 2. Determine k(x) - 6*l(x).\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 5, -4, 0.1, -125.4, 0.2, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, d: 7, s: 2}. What is prob of sequence oso?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*l**3*o**4 + 51*l**3*o**3 - l**3*o**2 + 37*l**3 + 3*l**2 - 6*l*o**3 + 14*l*o**2 wrt o?\nAnswer: -120*l**3*o + 306*l**3 - 36*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 6:35 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7092?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33 + 43. Calculate the lowest common multiple of 16 and n.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(6 + -24) + (-117)\/6.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, -1773, -1, 4\/11 in descending order.\nAnswer: 4\/11, -1\/8, -1, -1773","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of -l**5\/20 - 7*l**4\/12 - 2*l. What is the third derivative of x(g) wrt g?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -12152*v + 109434. Determine i(9).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 29*m**3 + 2*m**2 + m - 2. Let v be i(1). Solve -2*s + 3*f - 5 = -0*s, 0 = -4*s - 2*f + v for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 3) to base 12\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 - 3*b + 1. Let v be m(-3). Let s(n) = -8*n + 23. Let a be s(5). Let p = v - a. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000198875679 rounded to seven decimal places?\nAnswer: 0.0000199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -3*b**3 - 35*b**2 - 25*b - 4. Let m(n) = -1 + 2 - n**3 + 4*n + 5*n - 4*n**2 + n**2. What is the remainder when m(-6) is divided by a(-11)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1818 divided by -6.\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 392\/2*(-2)\/((10 - 5) + -6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(35) - sqrt(35))*-2)\/(-1*(sqrt(5)*-2 - sqrt(5))).\nAnswer: -2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-240)\/(-648))\/10)\/((-2)\/12)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) + -1*sqrt(108))*3 + sqrt(108) + -1 + -5)**2*-3*4.\nAnswer: -1728 + 864*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 382721107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/11? (a) -8 (b) -4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15599, 1883, 0 in ascending order.\nAnswer: 0, 1883, 15599","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 10 = b, -70 = -2*w - 3*b. Calculate the remainder when 110 - (1 + -4)\/(2\/2) is divided by w.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/24 + 3\/(-4). Let v(p) = 6*p**2 + 3*p + 1. Let n(s) = 13*s**2 + 7*s + 2. Let l(a) = -2*n(a) + 5*v(a). Give l(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31013302 (base 7) in base 5?\nAnswer: -1130414412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 1 - 4 + 4*z - z**3 - 4*z**2 + 2. Let c(g) = g**3 - 16*g**2 - g + 11. Let q be c(16). Calculate d(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28697 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + 0*d**2 + 2*d**2)*(2 - 4 + 4)*(5 - 2 + 1).\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**4 - 19*t + 13*t**4 - 2 - 18*t**4 + ((0 + 2 - 4)*(3 + 3 - 5) + 3 - 1 + 0 + 1 + 1 + 0)*(3*t**3 - 6*t**4 + 5*t**4 - t**4).\nAnswer: -7*t**4 + 6*t**3 - 19*t - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 38910000 rounded to the nearest 1000000?\nAnswer: 39000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 36364*n**5 + 42*n**2 - 12*n + 3?\nAnswer: 2181840*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 765 and 3825?\nAnswer: 3825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 4.1 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-53)\/(25970\/(-210)))\/(4\/42).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/3)\/(w*w*w**(-10)\/w*w))\/(w\/w**(-2\/7)*w*w*w\/(w\/((w*w**(-5))\/w))) assuming w is positive.\nAnswer: w**(218\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 2*a**2 - a - 1. Suppose 5*k - 18 = -w + 2*k, 2*k = w - 43. Let o = -31 + w. Calculate y(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 674.2 * -0.3\nAnswer: -202.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52, -189, -432, -793, -1284?\nAnswer: -1917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 0*f**2 + 0*f**2 + f + 1 + f**2 + 0*f. List the prime factors of i(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 9*j**2 + 10*j + 4. Let x be z(10). What is the greatest common factor of x and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from awrrdawhdahhw.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/13*(54 - 15782\/286)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 995394.\nAnswer: 2, 3, 23, 7213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -15 (b) 4 (c) -0.3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-166*n**2 - 8518 + 8518)*(-n**2 + 3*n**2 - n**2).\nAnswer: -166*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -60604 and -4.\nAnswer: 242416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (56\/154)\/((-468)\/(-1430))?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 102 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 441*t + 8 + 437*t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - -25. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1140)\/14)\/((136\/(-1836800))\/17). What is w rounded to the nearest one hundred thousand?\nAnswer: 18700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i + 8. What is the tens digit of s(13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 2*a + 14. Let y(g) be the third derivative of g**5\/60 + g**4\/6 - 7*g**3\/6 - 3*g**2 - 6*g + 4. What is y(a)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 - j + 135. Suppose 11 = -66*o + 10 + 1. What is l(o)?\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.8 and 0.9?\nAnswer: -3.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/13? (a) 1\/18 (b) -0.2 (c) -0.5 (d) -0.1 (e) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-1))\/((-123)\/(-41))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178689 is divided by 1131?\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 551777338 to the power of 1\/2, to the nearest integer?\nAnswer: 23490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(5) + 1 + -5) - (sqrt(5) - (sqrt(5) + sqrt(20)\/sqrt(4))*-1)*-6)**2.\nAnswer: 256*sqrt(5) + 1344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 234365353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {r: 2, a: 4, n: 2, z: 4}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 x when two letters picked without replacement from {x: 3, s: 1, m: 11}.\nAnswer: 11\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-6))\/q**2*(q**(1\/4)*q)**(2\/79))**(-50) assuming q is positive.\nAnswer: q**(-19875\/79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -2 (b) -43 (c) -8 (d) -48 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1203847 + 2099153. What is r rounded to the nearest one hundred thousand?\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 92, 182, 272, 362, 452, 542?\n\"Answer: 90*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62185*-5.\nAnswer: -310925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**8\/x)**23)**32)**(-21) assuming x is positive.\nAnswer: x**(-108192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in 14, -0.5, 3, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - 11*t**2 - 12*t - 12. Let q be f(-9). Let v = q - -119. Suppose 4*c - v = 5*i, 4*i + 45 = 5*c + 2*i. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16\/(-72) + 40\/18. Suppose 2*y - 56 = -2*o + 4*y, -r*o = 4*y - 26. What is the remainder when 66 is divided by o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6313 (base 7) to base 16\nAnswer: -8a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -237, -236, -235, -234, -233, -232?\nAnswer: -231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -81.\nAnswer: 4\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 5 - -5 - (-4 + 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 122 - 14 + 2 + 30 = -g, -4*g - 15*p = -311 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77729.\nAnswer: 19, 4091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 161 and 3059?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 2*j = -94, -4*j + 55 = 2*v - 9*j. What is the common denominator of (13\/(-6))\/(-2 - (-190)\/105) and (3 + 1455\/v)*(-2)\/(-9)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-41 - 321 + 28)*(-2*o**4 + 5*o**4 + o**4) in the form s*o + n*o**2 + k + x*o**4 + l*o**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**2 - 21*c - 9*c - 4*c**2 + 4*c**2.\nAnswer: -c**2 - 30*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + 3*z - 48. Let w be g(0). Let c be w\/10 - (8 - 9). Are -5 and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 113 + -40. Let p = l + -6. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -17*h - 10. Determine o(3).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 74465.4 - 74465. Let s be (0 - 6)*(-5)\/40. What is the third biggest value in u, 5, s, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1115537 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*w - 8*m - 9 + 66, 13*w + 3*w + 2*m = 12*w - 2 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/258 and 39\/4.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of -3*w**3\/4 - w**2\/4 + 14. Suppose k(a) = 0. Calculate a.\nAnswer: -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: e740b (base 16) to base 11\nAnswer: 597721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 - 5*l - 2. Let q be r(6). Suppose 0 = 3*m - 3*z - 3, -5*z = 9 - q. Sort -1, m, 5, 3.\nAnswer: -1, m, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ahfhhvvhqhhaqadad. Give prob of sequence hfa.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*h + h + 11*h)*(-6 - 1 + 1).\nAnswer: -24*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 21.11089654 and 0.5.\nAnswer: 21.61089654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ihhijhhhahohhiiht. What is prob of sequence hi?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 914 - 49 = 5*z. Suppose -5*g = -177 - z. Calculate the lowest common multiple of 20 and g.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-3)*(-1266)\/(-211)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 726\/(-1320)*(-5)\/55.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 111206875 to the power of 1\/2, to the nearest integer?\nAnswer: 10545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 - 4*k**3 - 63 + 31.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/9)\/(4\/24*2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z - 5*z + 5*z - 3 + (-1534*z + 55*z + 194*z)*(-2 + 0 + 4) to y + x*z and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.1, 9, 1\/2, -6, 0.3.\nAnswer: -6, -3, -0.1, 0.3, 1\/2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 9304.163t?\nAnswer: 9304163000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-8) + (-5)\/(-2). Solve -5*c = 5*b, 0 = a*b + 2*b + 20 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 26*d + 208. What is r(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-3\/19)\/((f*f*(f*(f\/f**(7\/3))\/f)\/f*f)\/f) assuming f is positive.\nAnswer: f**(10\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 6:25 PM?\nAnswer: 4:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/5 - (-4)\/(80\/28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1391 is divided by 116?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of -4*z**2 + 0 - 7\/24*z**4 - 3\/2*z**3 - 1\/60*z**5 + 0*z. What is the units digit of d(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of u**4\/12 - u**3\/3 + 288*u - 260. Let l(s) be the first derivative of r(s). Let t(g) = -2*g - 6. Let p be t(-4). What is l(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/3)\/((-20)\/(-90)) - (-12 + -11 + -8).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10315 - 6944. What are the prime factors of b?\nAnswer: 3371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 + 36*v + 87. Let t be b(38). Calculate the greatest common factor of t and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h**2 + 9*h + 4. Determine q(7).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -n**3\/3 + 2*n**2 - 3*n + 6. Factor r(p).\nAnswer: -(p - 3)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115236665873 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 0. What is the remainder when (140\/(-5))\/(6\/f) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (126\/84)\/(27\/2)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -18 - 1641?\nAnswer: -1659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 106.62 - 108.02. Is n at most as big as -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1701*p + 2053*p + 3109 = -6395 for p.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 260 + 60*a**2 - 61*a**2 - 15*a + 6*a**3 - 244. Let d be s(1). Let q(u) = -2*u + 8. Calculate q(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**3 + 2*c**2 + 18*c + 209. Determine p(0).\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 290 - 268. Suppose 2 = p*n - 4266. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -7 + -2 - -8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express q - 4*q + 2*q + (q + 4*q - 4*q)*(1 - 5 + 3) - 5 + 5 - 2*q + (0 + 1 + 0)*(-3*q - 43 + 43) + 4 - 4 + 8*q - q + 2*q + q in the form b + h*q and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - -9. Let c be 38\/x - 3 - (-91)\/(-78). Let z be 2\/(-7) + (-19)\/(-42). Is z equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.94 - 0.06. Let j = -31.8 - -35. Let s = 3 - j. Which is the third biggest value? (a) 3 (b) w (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7190.4 - 7190. Let x = 29 + 4. What is the third biggest value in x, n, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -778 + 787. Suppose -4*x = -u*z + 5*z + 116, 3*x = -z + 29. Calculate the remainder when 81 is divided by z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(77)*-1*2 - (sqrt(77)*-1 - sqrt(77))*-4)\/((sqrt(168)\/sqrt(6) + sqrt(28))*-5))**2.\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 1. Let a(h) = -164*h**2 - 3*h + 72*h**2 + 97*h**2 + 2*h - 8. Calculate -a(m) - 6*b(m).\nAnswer: -5*m**2 + m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2763*g**3 + 13*g - 16. Let r be d(1). Which is smaller: r or -2763?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-17)\/(-4))\/((-43)\/172). Suppose -9 + 48 = -3*c. Let j = c - w. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + h - 1. Let s(o) = -4*o**3 - 6*o - 28. Let n(i) = s(i) + 6*t(i). Let y(a) be the first derivative of n(a). Let u(k) = 14*k. Determine u(y(b)).\nAnswer: 84*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 60912899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 16*t**2 + 8*t + 4. Let s(c) = -5*c**3 + 120*c**2 + 56*c + 28. Give -2*s(o) + 15*y(o).\nAnswer: -5*o**3 + 8*o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8026 and 399336.366.\nAnswer: 391310.366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.96 - -0.04. Let t = 568331 - 7388295\/13. Which is smaller: d or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*f + 7 + 31*f - 18*f + (4 + 0 - 5)*(2 - f - 2) to the form r*f + j and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14\/(-6) + 2\/6. Let u be 1\/q*(-3 + 3). Suppose -2*f + u*f + 8 = 3*t, 5*t - 4 = -f. Solve t*z = z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 0*b = 3*b - 42, 5*r = -5*b + 55. Suppose 0 = r*z + 3*z - 24. What is the first derivative of 32 - 9*t**2 + 10 + 0*t**2 + 11*t**z - 6*t**4 wrt t?\nAnswer: -24*t**3 + 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -1761*r + 3538. Calculate i(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1012 (base 3) to base 11\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 + -29. Which is the biggest value? (a) y (b) 0.5 (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -195806, -177502, -146996, -104288, -49378, 17734, 97048?\n\"Answer: 6101*w**2 + w - 201908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 42332.69 * -0.4.\nAnswer: -16933.076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -3.6. Let p = 7 - 7.1. Let o = p - 4.9. What is the third biggest value in o, -3, w?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-92))\/(((-1157)\/(-34710))\/(4\/(-5)))?\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1407?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 2 + 1)*((-3008)\/128 + 31).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -7*v**2 - v + 7. Let o be n(-4). Let i be (o\/33 + 3)*-3. Find s such that -4\/11 - 2\/11*s + i*s**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of i**3\/3 + i**2 - 16*i - 3. Let c(z) = 344*z + 5160. Let u be c(-15). Calculate x(u).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 27552*n**2 + 34899?\nAnswer: 55104*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - k = -2*k + 34, -170 = -5*t + 2*k. Calculate the remainder when t is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 PM and 1:20 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(9\/((-990)\/(-20))*55)*-2.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-50)\/12)\/((-293965)\/(-25197)).\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1833.0957 - 1833. What is u rounded to 2 decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 31*q**2 + 9*q + 15. Is w(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-22)\/(-143) - 13492\/(-13). Suppose -11*v - t = -158. Round v to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -836 + 828. What is the closest to 0 in -0.5, -0.04, r?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m, 1 i, and 1 o when four letters picked without replacement from {i: 1, d: 3, m: 4, o: 5, c: 3, g: 4}?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 8144036.84 to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*y - 36*y - 6 = 5*x, -38*y - 15 = x - 42*y for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*q - 3*q - 4*q)*(-4 + 2 + 4)*(-2 - 1 + 0)*(0*q + 2*q - 3*q).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-7)*n*n*n*n**(-2\/55)*n**(-20)*n*n**17 assuming n is positive.\nAnswer: n**(-332\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1582 and 24584.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2\/13, 5 in ascending order.\nAnswer: -2\/13, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -5*n + 5, 4*b - 15*n + 20*n + 40 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 330 = -2*o. Let i(r) = -3*r + 20. What is the remainder when o is divided by i(0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v + 2. Let z be o(-2). Let x be (-1 - 6)\/((-2)\/z). Calculate the highest common divisor of x and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34 + 29. Let v be 14 + 1 - (7 + d). Solve 15 = -2*h + v for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 - 103 - (42 - 9)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10464 is divided by 349?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.97*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13584891 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3\/5 (b) -36\/7 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ie when two letters picked without replacement from {e: 2, j: 3, f: 2, i: 5, y: 3}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-15))\/2*(-6 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) -5\/3 (c) -1\/6 (d) -2\/39 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -62135 and 79.\nAnswer: -62056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-8)*(-4 - -6)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 3*z + 34, 13335*j - 37 = 13334*j + 4*z for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2113489.\nAnswer: 7, 301927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -212*u - 6100. Let m be f(-29). Calculate the highest common divisor of m and 606.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of 7*y**3\/3 + 5*y**2\/2 + 33*y + 67. Let h(l) = -3*l**2 - 2*l - 15. Let z(v) = 9*h(v) + 4*t(v). What is z(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + q + 11 = 0, q + 0 = -3*c - 8. Let o be c\/6*-1 - 15\/10. Is o - (-4 - (214 + -3)*1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 265, 679, 1295, 2161, 3325, 4835?\nAnswer: 6739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qh when two letters picked without replacement from {h: 3, f: 1, o: 2, q: 4}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = u + 1, 0 = 5*u - 3*o - 2*o - 20. Suppose u*m - 4*l - 22 = 0, 4*m = 3*m - 5*l - 18. Suppose -m*i = -0*i - 14. Is 7 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -61, 28, 185, 416, 727?\n\"Answer: l**3 + 28*l**2 - 2*l - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8.7 + 1.7. Let s = 6 + o. Let k = 4\/91 + 83\/182. Which is the third smallest value? (a) 4 (b) k (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9557 is divided by 2467?\nAnswer: 2156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 217854?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17085 and 8910?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 11451256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f - 761. Let k(t) = 70*t + 77. Give k(h(d)).\nAnswer: -70*d - 53193","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*c**3 + 2 + 7*c**3 - 19*c**3 + 3*c**4 + (-2*c**4 + 0*c**2 + 0*c**2)*(-1 + 3 - 1).\nAnswer: c**4 - 2*c**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -67539397 and -0.877.\nAnswer: -67539397.877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -91*p*q + 36*p - 37956*q wrt p.\nAnswer: -91*q + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 118 + -42. Calculate the remainder when v is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 301494\/7, 0.09, -4, 4, -1\/2?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 24853678 and 1248960.\nAnswer: 26102638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/108)\/(((-630)\/(-5346))\/35)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - 16) + 1\/1. Let o(z) be the third derivative of -z**5\/60 + 7*z**4\/24 + 190*z**2 + 2*z. Let g(i) = i. Calculate t*g(c) + 2*o(c).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h = -4*h - 12. Let o be 5651\/h - (-4)\/12. Is (-1)\/2*o\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8000 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/((-20)\/(-60)*15))\/((-1)\/(-2))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 1165303.\nAnswer: 1\/1165303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 6444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 8 - 1)*(-2*g**3 - g**2 + g**2) + (1 + 3 - 3)*(0*g**3 + 0*g**3 - g**3) + 3*g**3 - 2*g**3 + g**3 - 2*g - 2*g**3 + 2*g - 6*g**3 + 4*g**3 + g**3.\nAnswer: 6*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d - 18*d + 42 = 0. Let c = d - -3. Suppose 4*u = c*u - 110. Are u and 23 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26437 (base 11) to base 6.\nAnswer: 450544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25 - 2 - 2*j - 38 to k*j + g and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*o**2 + 39*o**4 + 14*o**2 - 8*o**2 + 11*o**2 wrt o?\nAnswer: 936*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -115 + 120. Let r(y) = 3*y - 4. Let w(o) = -4*o + 5. Let g be ((-8)\/10)\/(2\/(-10)). Calculate g*w(t) + q*r(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*n + 33 = 0. Suppose 2*p - 3*u + n = 0, -4*p - 4*u + u = -23. What is the third derivative of -a**3 - 5*a**2 + 4*a**2 + 9*a**p - 4*a**3 wrt a?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -4 (c) 1\/34 (d) -5 (e) 0.8 (f) 0.7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -o - o**3 + 120*o**4 + 1 - 122*o**4 + 8*o**2 + o**3 as q*o**4 + t + u*o**3 + d*o**2 + l*o and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 105, 475, 1385, 3105, 5905, 10055, 15825?\nAnswer: 23485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-2) - (-4)\/(-8)*-2. What is the fourth biggest value in 0.5, n, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*g**4 - 5*g**4 + 0*g**4 + (-6*g**3 + 3*g**3 + g**3)*(-2*g - 2*g + 3*g).\nAnswer: -10*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -20220 to the nearest one thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -2. Let c = 0.02 - 0.52. Let o = 0.7 + c. Is o less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 136591*t. Let h(m) = 2*m. Calculate r(h(p)).\nAnswer: 273182*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1c (base 15) to base 10\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83644895 is divided by 479?\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1843648 by -1.\nAnswer: 1843648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 528\/14 + (-66)\/(-231). Let s = 6 + -6. Solve s = 5*k - o + 13 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.28 + -0.02. Let h = 2.4 - 0.4. What is the smallest value in r, -2\/9, h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -210 (base 3) to base 13\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2688, 2691, 2696, 2703, 2712?\nAnswer: 2723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -488\/99?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3253 = 10*v - 1257. List the prime factors of v.\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 11:00 PM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 4*i + 4. Let q(s) = -2*s + 3. Give -k(g) + 2*q(g).\nAnswer: -8*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 10:23 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1032 + 1025.87. Let k = i - -5.5. Round k to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 0.01977.\nAnswer: 4.01977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 5*o + 20 = 0. Let z(v) = -v. Let j(y) = 5*y + 3. Let b(x) = -3*j(x) - 6*z(x). Is 7 a factor of b(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 28 = 2*l, 34 = 3*n - 4*n - 4*l. Let m be ((-3)\/21*-8)\/((-18)\/(-21)). Find a, given that 0*a**n - m*a**4 + 0 + 4\/3*a**3 + 0*a = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -558 * -652\nAnswer: 363816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ocw when three letters picked without replacement from {c: 2, o: 1, n: 1, w: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of 0 - 3*k - 1\/6*k**3 - 7\/2*k**2. Give l(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -331 + 329. Sort 0.2, 0.3, -0.16, q in decreasing order.\nAnswer: 0.3, 0.2, -0.16, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -150*h + 51. Let y = 1414 + -1408. Let j(r) = -6*r + 2. Give y*n(v) - 153*j(v).\nAnswer: 18*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*q - 1026 - 318. Let z = q - -419. What are the prime factors of z?\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + 297*a**2 - 2048*a + 24349. Determine p(-304).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1 + (sqrt(300) - sqrt(300)*3*-4) + -1*(sqrt(300) + (sqrt(300) - -6*sqrt(300)*2)))**2.\nAnswer: -20*sqrt(3) + 298","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.16 and 137?\nAnswer: -21.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -746.9 - -747. Let l = -2 - -1.9. Which is the third smallest value? (a) 9 (b) l (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*v - 40. Is v even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/681 in -80, 0, 2\/9, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 15 = -6*k. Is -11\/6 at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 5*v = h + 26, -1513*v + 1517*v - 152 = 7*h for h.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7553307?\nAnswer: 3, 41, 61409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -7 - 23*k - 3 - 4. Let u(z) be the second derivative of 5\/2*z**2 + 4\/3*z**3 + 0 + 3*z. What is -6*b(n) - 17*u(n)?\nAnswer: 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 45 + -51. Let a(q) = q**3 + 5*q**2 - 5*q + 3. What is a(x)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 3\/4*i**2 + 0*i - 3 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30 + 28*n - 30)*(9 + 35*n - 10 - 4*n).\nAnswer: 868*n**2 - 28*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10285 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 175 - 188 - (9 - (-9 + 9))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 - 26. Let c(k) be the first derivative of -7*k**3\/3 + 3031. Determine c(w(r)).\nAnswer: -7*r**4 - 364*r**2 - 4732","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 5*y - 3. Suppose 2*v + y*v = 900000. What is v rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 73*p**4*r + 39891*p**3*r + 5*p**2*r - 6633*p**2 + 10*r wrt p?\nAnswer: 1752*p*r + 239346*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 32482*v + 34227. Determine s(-1).\nAnswer: 1745","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-252)\/(-54))\/((-28)\/(-72)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-156)\/(-27) - (-4)\/18. Let u(b) be the first derivative of -b**2 - 3*b - 3. Let o(a) = -a - 1. Determine q*o(p) - 2*u(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8948760963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 127137286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (64\/(-18) + 5)\/(49\/(-441))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2202 is divided by 76?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + -11. Suppose m*x = 89 - 29. Suppose 0 = -y + x + 1. Is y a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -1300*q + 1304*q + 28, t + 3*q + 1 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23 - -11) + 16 - 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1174 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c46b72 + -7?\nAnswer: c46b68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*o + 0 + 0)*(6*o + o - 6*o + 16*o)*(33*o - 15*o + 21*o) in the form t*o + q + u*o**2 + w*o**3 and give w.\nAnswer: 1326","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4b (base 14) to base 11\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5895 or 517?\nAnswer: 517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.4 + 8.4. Let l = -7.97 + a. Let h = 0 + l. Sort 3, 1, h in increasing order.\nAnswer: h, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3*t = -55, -i = 3*t + 4 + 1. Suppose 96 = i*q - 4. What is the second derivative of 4*u + 15*u**3 + 5*u + q*u wrt u?\nAnswer: 90*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42810 is divided by 106?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 115 - 111. Solve 4*p - 1 = n*r - 9, 5*r - 10 = p for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -255 + 312. Suppose -6*l + 447 = f. Calculate the remainder when 323 is divided by l.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 51 + 4 = -5*g, a = 4*g + 37 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -64376439153079\/15470 - -4161372923. Let n = 1\/1105 + x. Find the common denominator of n and 19\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - 1659165.\nAnswer: -1659164.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - y. Let k(n) = 254*n. Give -k(g) - 254*v(g).\nAnswer: 254*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27 - (-24 + 21 - -42)) + (112 - 0)?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 211*q - 206. List the prime factors of z(2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (546756\/(-9905))\/((-46)\/60)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*p**4 - 592*p**3 - 1856*p**2 - 704*p + 1472 = 0. Calculate p.\nAnswer: -46, -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 7*l - 4. Let u(y) = 4*y - 2. Let k = -188 - -183. Let w be ((-18)\/75*k)\/(4\/10). Calculate w*h(g) - 5*u(g).\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/3)\/z)**15*(z**(-7\/2))**0 assuming z is positive.\nAnswer: z**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o + 14. Let t be k(-10). Is ((-796)\/(-16))\/(1\/t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -100*d*n*x**2 + 2*d*n*x - 15*d*x**2 - 2*n*x - 2*x**2 - 6*x + 14 wrt d?\nAnswer: -100*n*x**2 + 2*n*x - 15*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4654)\/(-1074)*(-4)\/2*(-6)\/14?\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i = -16*i. Suppose i = -l + f + 97, 2*l + 6*f - 194 = f. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.2*9\nAnswer: 10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 4*b + 12 = -3*z, -z = -4*b + 4. List the prime factors of b*(-3)\/(-21) - -149.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 4*q - 64 = 0. Let w = -15 - -17. Suppose -3*h - 14 = -4*v, 3*v - q = 7*h - w*h. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23 by 35.\nAnswer: -23\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 7. Solve -4*v = -l*j - 2 - 0, -5*j + 2*v - 21 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5455.202 rounded to the nearest one hundred?\nAnswer: 5500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.983394381788 and -5.\nAnswer: -4.016605618212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 5*d. Let x be a(1). Suppose -21 = -x*w + 2*o, 0 - 3 = 4*w + 5*o. Let f be (w\/(-9))\/((-1)\/15). Solve -2*l = -l + f for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 - (4 - 1 - 1). Let y(g) = -4*g**l - g + g + 11*g**2. Let h(s) = -36*s**2. Let x(a) = -5*h(a) - 24*y(a). Let n(w) = w. Determine n(x(d)).\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 - -14. What is the remainder when i is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 11.5. Let d = 7858 - 7855. Which is the closest to 5? (a) -2 (b) f (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002113259498 rounded to 7 decimal places?\nAnswer: 0.0000211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -p**3\/5 - 109*p**2\/5 + 184*p - 1872\/5 = 0.\nAnswer: -117, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1140323 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**2 - 50859900*z - 457739505.\nAnswer: 5*(z - 10171989)*(z + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 4 - 8 - 8)*(-6*v + v + 6*v).\nAnswer: -14*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14394, -28385, -41562, -53517, -63842?\nAnswer: -72129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -93 + k**3 + 1554*k + 91 - 1556*k + 10*k**2 + 4*k**3 - 32*k**2 in the form j + m*k**3 + b*k + i*k**2 and give i.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -173.0000355 - -173. What is d rounded to 6 decimal places?\nAnswer: -0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - -4. Suppose -f + q = 4*p - 116, 0 = p + 4*f - 23. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*z = 82*z + 6*z - 640. Suppose 2*j = 4 + 2. Solve -3*h - j*b = -2*h - 17, -z*h - 5*b + 35 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = w + 5*f + 3, 12 = -2*w + 5*f. Suppose 0 = v + v - c - 34, 0 = w*v + 4*c - 80. Does 18 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3)*(4*p**2 - 2*p**2 + 0*p**2)*(3*p**2 - 2*p**2 - 4*p**2).\nAnswer: -12*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 12 = 2*k, -3*k + 30 = 2*k + 4*a. Suppose 7203 + 5397 = -k*q. What is q rounded to the nearest one hundred?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + 1. Let s(h) = 4*h - 13. Calculate the remainder when 53 is divided by s(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 181, 49, 2410 in decreasing order.\nAnswer: 2410, 181, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of -l**5\/420 + l**4\/168 + l**3\/21 - 7*l**2. Solve f(r) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -5672*l - 1321586. Determine q(-233).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 320 and 880?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2416272000 rounded to the nearest one million?\nAnswer: 2416000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 1\/4 (b) 2\/3 (c) -6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4965667800 rounded to the nearest one million?\nAnswer: -4966000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**3 + 4*w**2 + w + 4. Let o be m(-3). Let v = o + 32. Let f = v - 3. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51893 is divided by 237.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 52429 = 2*s, -67404 - 63682 = -5*s + o. What is the ten thousands digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3352.404cm in nanometers?\nAnswer: 33524040000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 3501446.\nAnswer: 700289.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (1 - 117\/91)\/(4\/(-149044))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -5*m**3 + 10*m**2 + 12*m - 4. Let u(a) = a**3 - a**2 - a + 1. Let b(c) = -6*u(c) - z(c). What is the tens digit of b(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 z when three letters picked without replacement from rzrzrprpzoogrprp.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 209*r. Let a(f) = -32*f. Determine a(p(u)).\nAnswer: -6688*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/(-2) + -2*((-60840)\/(-2480) - 19).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10217 - 10052. Suppose 4 = 2*c - 106. Calculate the highest common factor of c and h.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/3304 and 77\/36.\nAnswer: 29736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -11816*((0*(-2 + 1))\/3 - 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23.4 - -0.6. Let i = c - 23.8. What is the second smallest value in -1\/2, i, -3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -44b - 470?\nAnswer: -8bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4132105477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 23 in -0.4, -3, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(396)*2*1.\nAnswer: 2 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 22, 34, 46?\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 74*b + 149. Let l be z(-2). Put 20, 0, l, -3 in ascending order.\nAnswer: -3, 0, l, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + (-5*(-2*(3 + -1 + sqrt(112)) + -1))**2).\nAnswer: 4000*sqrt(7) + 23652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*10\/4 + 1\/1. Suppose -x = d*x - 70. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2565 - 1181 - 1384 + 30196*x to c + f*x and give f.\nAnswer: 30196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at least as big as -1\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.8549024 from 26.\nAnswer: 25.1450976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -3*k + 7, -3*k - 6 = -4*o + 7 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 419\/(299585\/3300)*(-5 - 60)\/(-5)\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*l**2 + 1 + 25*l**2 + 10*l**2)*(3 - 4 + l + 0).\nAnswer: 18*l**3 - 18*l**2 + l - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**5 - 2*w**4 + 2*w**3 - 9*w. Let u(s) = 3*s**5 - 9*s**4 + 9*s**3 - 37*s. Let q(p) = 18*c(p) - 4*u(p). What is the second derivative of q(g) wrt g?\nAnswer: 120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14592800 and 14227980?\nAnswer: 569119200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - 3) + (-55)\/(-528). Is f less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 261 + -212. Suppose -39*o + y*o = 1370. What is the remainder when o is divided by (-2)\/(-3)*(-564)\/(-8)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/6 and -49\/45?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 62*u - 305. Let g be n(5). Solve 8 + 12 = 5*q + y, 0 = -g*q + 3*y + 20 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 1094*g + 1093. Let n be t(-1). Are -2\/4379 and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - -2. Suppose 5*i - 2*c - 29 = -c, -i + 4*c = -21. Suppose 0 = -l - i + 9. Solve -l*p - 11 = s for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*x + 192 + 618. Suppose -21*j + x*j = 1260. List the prime factors of j.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 5*t**4\/4 + 73015*t**3 + 2132622115*t**2\/2 + 2132403075*t + 4264660125\/4 = 0.\nAnswer: -29205, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + (-12480)\/(18 - 14). Round u to the nearest 100.\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + 7. Is 28 a factor of i(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 2 (c) -3 (d) 2\/4085 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 2 + 7986*b - 7975*b + 2.\nAnswer: 11*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x - 3. Let r(d) = -d - 3. Let h(b) = -4*g(b) + 3*r(b). Determine h(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -247, -320, -505, -856, -1427, -2272, -3445, -5000?\nAnswer: -6991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1423 is divided by 38.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5\/(-10))\/((-3)\/24). Let r be 1 - 21\/(-6) - o. Factor -1\/6*m**3 - r*m + 1\/2*m**2 + 1\/6.\nAnswer: -(m - 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -20*p - 34, 47 = -3*p - a + 38 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fifty-one quarters of a kilometer?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q = 22*f + 23270 - 23512, 5*f - 55 = -3*q + q for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -10\/59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 866487?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -15. Let n = s - 7. Let o(z) = -6*z**3 - z**2 - z + 3. Let c be o(n). Round c to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**4 - 3608*d**3 + 39364*d**2 - 142752*d + 171072.\nAnswer: 4*(d - 891)*(d - 4)**2*(d - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w. Let b(t) = 6*t**2 - 11*t**2 - 1 - 7*t**2 - 3*t**2 - 4*t**2. What is b(f(l))?\nAnswer: -19*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + q + 52 = 0. Let d = 28 - q. List the prime factors of d.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 + 5*y - 3. Let p be (-348)\/22 - ((-31)\/11 - -3). Let q be 21\/6 + (-8)\/p. Calculate w(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 344563376.3 and -0.5.\nAnswer: 344563375.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.4, 0.5, -2\/9, 3\/2, -2747?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3*d**2 - 6. Let m be o(2). Find the second derivative of 2*y + 72*y**2 + y + 23 + 0*y - m*y wrt y.\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0044768 to 4 decimal places.\nAnswer: -0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3866, -2, -4, 18, -3, 0, 7 in descending order.\nAnswer: 18, 7, 0, -2, -3, -4, -3866","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 353686139 and 2397?\nAnswer: 799","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 - -0.4. Let m = 0.7 + f. What is the nearest to m in 2\/15, -1, 5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -504 - -500. Suppose 3*o - 1 = -10. Sort 1\/3, 1, o, s in ascending order.\nAnswer: s, o, 1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 5, -5\/3, -2, 2\/467 in increasing order.\nAnswer: -2, -5\/3, -1\/3, 2\/467, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*z - z = 12 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/8 + (-53169)\/592*94\/(-141)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 983660 by 3590.\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223 is divided by 179.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-198)\/8*(-14)\/105 - (-22)\/(-44)\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18.4 - 18.4. Which is the closest to l? (a) 2\/9 (b) 1\/5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1746258 (base 12) to base 3.\nAnswer: -100001221211012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 5227.17 years?\nAnswer: 52.2717","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-3\/7)*d*d**(-1\/4))**(-15)*(d**(2\/9)\/d*d**3)\/(d**(-2\/5)*d\/d**7*d) assuming d is positive.\nAnswer: d**(-15371\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 5*r + 1. Let t(w) = -39*w - 44. Let g(m) = 4*n(m) + t(m). What is the units digit of g(-19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120101110202 (base 3) to base 9.\nAnswer: -511422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.1 - 0.3. Let g = w + 2. Let r = g + 3.4. Which is the second biggest value? (a) r (b) 0 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t**2 + 4*t. Let r(u) = 4*u**2 + 5*u. Suppose -4*p - 5*n + 5 = 0, -2*p + 40 = 3*p - 5*n. Let s(o) = p*i(o) - 4*r(o). Let d(q) = -4*q. Give s(d(b)).\nAnswer: -16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 - -29. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34 + 33.5. Let i = -14789 - -14786. What is the closest to 2 in -84, g, i, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2 + 0. Let p be (-256)\/(-10)*60\/8. Let y be 2 + (p\/27)\/(-4). Is y <= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -3*x**2 - 30*x - 2. Let t(k) = -4*k**2 - 32*k - 2. What is 5*n(s) - 4*t(s)?\nAnswer: s**2 - 22*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (15 - 3) + 6\/3. Let z = o + -25. Is z > -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 320*n + 334*n - 1471 - 15124 = 6949 for n.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 13*m**2 + 7263*m + 29059. What is u(-4)?\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 24\/9 + 2\/6. Let p be (-2)\/(-3) + (-12)\/(-9). Let j be p + 0 + -1 - -1. Solve 4*v = c*v - j for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49\/35 - (-3)\/5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29561 greater than or equal to 118247\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/(-49))\/(4\/(-28))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (62*26\/2015)\/(2*(-4)\/80)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 587 + -280. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10 is divided by 6\/5*65\/26?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 3*k)*(4*k + 16*k + 20*k + 0*k).\nAnswer: -120*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, f: 1, i: 3, z: 1}. What is prob of picking 3 i?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 42311 = y, 92*p + 5*y = 94*p - 21151. List the prime factors of p.\nAnswer: 2, 3, 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, j: 5, v: 2, k: 2, l: 6, y: 1}. What is prob of sequence vl?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1000.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 + 0)*(0*h - 3*h + 4*h)*(11*h - 21*h + 7*h) as l + y*h + p*h**2 and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = 6*j + q, 8 = j + 5*q for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z + 14. Let m(s) = 6*s + 1 - 26*s + 10*s + 9*s. Let h(k) = 10*m(k) - p(k). What is the first derivative of h(c) wrt c?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -184246062 divided by 77.\nAnswer: -2392806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**2 + 59*h - 35. Let a be y(-30). Suppose -4*z - 12 = 4. Let p(o) = o. Let b(l) = -l**2 - 12*l - 2. Let t(n) = z*p(n) - b(n). What is t(a)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 > 8369\/2570?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.753742 rounded to 2 decimal places?\nAnswer: 0.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-59)\/118)\/((-4)\/(-6)*3\/(-12)). Solve -4*o + 5*k + 14 = 0, -5*k - g = -o - 4*k for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 571428 to the power of 1\/2, to the nearest integer?\nAnswer: 756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 687 is divided by (13 - -47)\/(((-216)\/(-32))\/9).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -f**7\/630 + f**6\/720 + f**4\/2 + 6*f. Let x(k) be the third derivative of w(k). Suppose 0 = -5*a - 4 - 1. Determine x(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 - (-8 - (-1 - 0)). Determine y, given that 6*y**x - 22*y**3 + 73*y**4 - 75*y**4 - 18 - 44*y**2 - 48*y = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34 + l - 351*l**2 + 353*l**2 - 4 to the form j*l**2 + x + k*l and give x.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6673\/5? (a) 0 (b) -1\/3 (c) -2 (d) -1.3 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, t: 2, v: 1, u: 2}. Give prob of sequence tu.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 - 181*y - 238. Give k(0).\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 242 and 22.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -0.4, -4, 2, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(500)*2)\/sqrt(10) + (sqrt(162) - sqrt(18) - (sqrt(2) + sqrt(2)*-1 + -2)))**2.\nAnswer: -64*sqrt(2) + 516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = d - 13, t - 6 + 1 = -d. Let a be 2 - 0 - (t - 0). Suppose 6 = 2*n - a*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -98 + 97 - 4*z**2 - 2*z**3 - z**3 + z**2 - 2*z**4 to the form g*z**3 + r*z + q*z**4 + o*z**2 + v and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 528, 615, 766, 981, 1260?\n\"Answer: 32*x**2 - 9*x + 505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 2079?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 9:14 AM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 + y + 0*y)*(y - 3*y + 0*y).\nAnswer: -2*y**2 - 8*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of i**5 + 4*i**4 + 205610*i**3 - 1096508*i**2?\nAnswer: 60*i**2 + 96*i + 1233660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 6:59 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 288003 greater than 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (2 + sqrt(2299))*-4)**2 - 2*-6*(-1*sqrt(475) - sqrt(475)))*-4.\nAnswer: -147620 - 3392*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -193137 and -193142 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 34b2 - -18?\nAnswer: 34ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0013093253 rounded to 5 decimal places?\nAnswer: 0.00131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 6*n - 5. Suppose -2*r - n - 24 = -5*u, 2*r - u + 29 = 0. Let q = -11 - r. Solve 0 = 3*y - q*c + 18, 3*y - 5*c + 2 = -19 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2970 is divided by 73?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 49239692371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99084516 + 53509450 = 62*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 3, 16817, 2, 4, -2 in descending order.\nAnswer: 16817, 5, 4, 3, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3*h - h - 3*h. Let f(u) be the third derivative of 19*u**2 + 0*u - 1\/24*u**4 + 0 + 0*u**3. Give z(f(n)).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 109 = -4*c + 270, 443 = 5*c - 4*g. Let j be (c\/14)\/((2 - 0)\/4). Let n(l) = -2*l + 42. What is the remainder when 45 is divided by n(j)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 2843*y + 1 - 8113*y + 2.\nAnswer: -10956*y + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -46*w. Let m(f) be the second derivative of -f**3\/3 - 41*f. Calculate m(z(c)).\nAnswer: 92*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1404\/741 - (-8)\/76. Solve -2*h - 3*c + 9 = 1, -h + p*c - 10 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50482 a multiple of 140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 972.4 - 1019.39. Round b to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3603 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5095820*t**5 - 2*t**3 - 65*t**2 + 62903?\nAnswer: 305749200*t**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -2*d + 19, d = 5*k + 17 - 79. What are the prime factors of k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -15*a - 1\/4*a**4 + 10\/3*a**3 + a**2 - 3. What is the smallest common multiple of g(10) and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -1396*w**3 + 13*w**2 - 43*w - 143. Is y(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/(-22) + 198619\/913. Calculate the greatest common divisor of 62 and k.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}