diff --git "a/data/dm_maths/full_data_2/1260_11255.jsonl" "b/data/dm_maths/full_data_2/1260_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1260_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Rearrange -22*d**3 - 5 + 3 - 23*d**4 + 24*d**3 - 7*d**2 + 9*d**2 - 14*d**4 to the form r*d + c*d**4 + s*d**2 + l + g*d**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -116, -4652, -9176, -13682, -18164, -22616, -27032, -31406?\nAnswer: -35732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/7301734 and -55\/1327588?\nAnswer: 14603468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/3 - 0\/1. Let q be r + (2\/(-10) - 3). Which is smaller: -2 or q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 209*u**3 + u**2 - 3*u + 4. What is w(1)?\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 3 - 3)*(4*n**3 - 2*n**3 + 0*n**3) + 3*n**3 + 5*n**3 - 5*n**3 - 210*n**3 - 86*n**3 + 29*n**3)*(-4 + 2 + 1)*(1 - 1 - 2).\nAnswer: -536*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 31*z + 81 + 31 - 30*z. Let j be h(0). What is the greatest common divisor of j and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 8:03 AM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4, 161, 556, 1297, 2492?\n\"Answer: 18*l**3 + 11*l**2 - 2*l - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/5))**5*q**(-4\/3)\/q**(-1\/12)*(q*q**7)\/q**(-2)*(q\/(q*q*q\/(q*q**0\/q*q*q)))**37 assuming q is positive.\nAnswer: q**(27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1413?\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1192330182?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.4? (a) -1 (b) -36 (c) -3 (d) -1\/7 (e) -7\/5 (f) -8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 546484.\nAnswer: 2, 136621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1833.65 - -8242.6?\nAnswer: 10076.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0368 and 286.\nAnswer: 10.5248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8978 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -4*p + 61. Calculate the least common multiple of 5 and l(15).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -3*x + 25. Let z(v) = -v**2 + 5*v + 5. Let t be 4\/6 + (-65)\/(-15). Let j be z(t). Solve 20 - j = x*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -5*i + 5. Let l(g) = 3*g - 2. Give -4*c(s) - 7*l(s).\nAnswer: -s - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42814, -42819, -42826, -42835, -42846?\nAnswer: -42859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*k**2 - 71*k**2 + 144*k - 78*k**2 - 144*k.\nAnswer: -120*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**0\/i)\/i)\/i)**27\/(i**(-8)\/((i\/i**12)\/i)) assuming i is positive.\nAnswer: i**(-85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 9*t**2 + 10*t. Let q(h) = -h**2. Let y(p) = i(p) + 4*q(p). What are the prime factors of y(-5)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eeeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -44, -58, -38, 34, 176?\nAnswer: 406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d - 2*d + d + d + 2*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 18*z**2 + 16*z - 12. Let m be q(-17). Suppose -m*c - 8 = -43. List the prime factors of c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/30*1\/((-8)\/(-20))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 229 - 229.192. Let b = f + 0.17651. What is b rounded to three dps?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2. Let s(y) = 13*y**2 - 17. Let z(a) = 7*a**2 - 9. Let d(h) = -6*s(h) + 11*z(h). Let q(u) be the first derivative of d(u). Calculate f(q(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6, 11, 16, 21?\n\"Answer: 5*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 40755637 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 227653942 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -59 - -19.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/21 - 82*c\/21 - 120\/7.\nAnswer: -2*(c + 5)*(c + 36)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1410818, 1410603, 1410388, 1410173, 1409958, 1409743?\nAnswer: 1409528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -12*x**2 + 19*x - 66. Let h(a) = -17*a**2 + 29*a - 104. Let i(l) = -7*h(l) + 10*j(l). Factor i(b).\nAnswer: -(b - 4)*(b + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a millennium in years?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10290 and 107221800.\nAnswer: 107221800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13 + (3 + -3 - -2) and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 7, g: 4}. Give prob of sequence gaag.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*p - 9*p + 709*p**2 - 360*p**2 - 349*p**2 + p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 8 = -0*u. Let v(d) be the first derivative of 0*d**u + 1\/6*d**6 + 1\/3*d**3 + 0*d + 0*d**2 + 0*d**5 + 1. Find the third derivative of v(w) wrt w.\nAnswer: 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.12712 + 5.87288. What is the second smallest value in -0.4, l, -2\/15, 0.3, 1\/4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119370775219 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5829 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: What is the thousands digit of 5142?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/6 of a year?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7948242 to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -5*u - 3. Suppose -36 = -4*t + 12. Let l be (2\/t)\/((-20)\/(-15)). What is the closest to 0.1 in u, l, 4\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 11775.1 and -3972284.06.\nAnswer: -3960508.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3758394 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-396)\/2079*((-9)\/(-3))\/(-1).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**4\/11 - 96*f**3\/11 + 640*f**2.\nAnswer: -2*f**2*(f - 40)*(f + 88)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 459*t**3 - 31*t**2 - 17*t + 394. Let q(w) = 230*w**3 - 16*w**2 - 8*w + 197. Let s(i) = 11*q(i) - 6*r(i). Find the second derivative of s(b) wrt b.\nAnswer: -1344*b + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3648*k**5 - 2*k + 445 wrt k?\nAnswer: -72960*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4*o - 190 = -66, u - 74 = o. Suppose -5*m - 4*k = u, m - 2*m = 4*k - 2. Let h be (-1)\/6*27\/m. Do 0.1 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*z = 1771 + 774 + 293 - 65 for z.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 - s. Let h(a) = 9*a**2 + 5*a. Let z(c) = -h(c) - 5*q(c). Let j(g) = 76*g**2 - 314*g**2 + 77*g**2 + 79*g**2 + 78*g**2. What is j(z(n))?\nAnswer: -64*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -225 = -55*a + 382 - 112. Calculate the remainder when 1016 is divided by a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 62457 and -4?\nAnswer: -249828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.48 + -0.58. Which is the second smallest value? (a) 3 (b) 2 (c) y (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42298081?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 407703293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (143 - -17)\/10 - -17. Solve 11*y - p*y - 66 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 100 - 155. Let p = 52.7 + b. Let n = p - -1.56. What is n rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 288.0695 minutes to seconds.\nAnswer: 17284.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 173, 204, 245, 302, 381, 488, 629, 810?\n\"Answer: d**3 - d**2 + 27*d + 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + l = 4194, -4*j = -5*l - 3702 - 504. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 58 + 29?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3666 + -0.0334. Let w be 3 + (-18)\/12*8\/(-3). What is the nearest to 2 in u, w, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 3*g + 33, -7*f + 90 = -2*f - 2*g. Let d = f - -4. Solve 0 = -5*l + k - d, 4*k + k = 3*l + 34 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 3*q - 127. Suppose 2*i - 335 = 7*i. Let l = i + q. Does 20 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -10*y. Let d(t) = -2*t. Let p(w) = b(w) - 2*d(w). Let c(m) = -m - 1. Let z(j) = 9*j**2 - 8*j - 4. Let a(l) = 4*c(l) - z(l). Calculate a(p(i)).\nAnswer: -324*i**2 - 24*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26444, -26441, -26436, -26429, -26420?\nAnswer: -26409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.08 (b) 3.752 (c) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 7*z**2 + 7*z + 7. Let d be h(-5). Suppose -a = 5*j + d, 2*a - 5*j = -1 + 32. What is the remainder when 4 is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 804 - 503. Calculate the remainder when w is divided by 61.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 - 5*m - 3. Let g be ((-27)\/6)\/(3\/(-6)). Let c(a) = a - 2. Let p be c(g). Give d(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 23*k**2 - 23*k - 21. Let o be v(-22). What is the tens digit of 17\/(o\/186*3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 529967582 to the nearest one hundred thousand.\nAnswer: 530000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*a**2 - 3*a + 6*a - 6*a.\nAnswer: 9*a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 2\/301077 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*q + 987 - 1023. Solve -22*f + 21*f - 3 = -d, -q*d + 3*f = -10 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**3 - 3*j + 3*j + (-2*j - 2*j + 21*j)*(-j**2 - 3*j**2 + j**2).\nAnswer: -52*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -109? (a) 1 (b) 0.01 (c) 0.1 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 4 - 4)*(-1 + 0 - 1) - 637 + 311 + 303 - 6*x.\nAnswer: -4*x - 23","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140 - 153917*h**3 + 148 + 76957*h**3 + 76965*h**3.\nAnswer: 5*h**3 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 12 = 6*o. Suppose 4*p = 2*r + 3*r, 0 = p - o*r. Suppose 0*y + 4*y - 12 = p. Solve 3*z + y*l = 12, -3*z - 5*l + 1 = -13 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-4))\/(3\/(-156)). Let d be (-4 + 30\/(-6))*2. Let t = 44 + d. What is the greatest common divisor of c and t?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32 + 52. Suppose 6*p = p + i. Solve -5*o + 2 = -p*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 144908?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 12861, 25311, 37765, 50223, 62685, 75151?\n\"Answer: 2*l**2 + 12444*l + 415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*y - 3 = -o - 143*y, -y = -4*o - 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -779*x**2 + 263*x**2 + 296 - 295 - 1310*x**2 in the form w + k*x + c*x**2 and give c.\nAnswer: -1826","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1829 + -1909 + (17 - -1).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5976 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 39099 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2.6, 1.8, 3.587 in decreasing order.\nAnswer: 4, 3.587, 1.8, -2.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 10:06 AM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 168 - -12b?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -7838 (base 10) in base 14?\nAnswer: -2bdc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = h + 19, -x + 5*x = 20. Suppose h = y + s, -4*y + s + 12 = -s. Solve -y*j - v = -9, -2*v = -j - j + 12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -108 * 161625.\nAnswer: -17455500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -39 + 7 + 31 - 184*q as k + z*q and give z.\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r**5 - 170*r**4 - 1040*r**3 + 3070*r**2 + 22645*r - 24500 = 0 for r.\nAnswer: -25, -7, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 3751420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12927 + 13097. What is the remainder when 1535 is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of u**7\/42 + u**4\/8 + 3*u**2\/2 - 4. Let q(f) be the second derivative of s(f). What is the second derivative of q(b) wrt b?\nAnswer: 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 102578760 and 15408?\nAnswer: 7704","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 6934 divided by 1\nAnswer: 6934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 390 = 63*d + 2*d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*o, -9*g - 198 = -5*g + 2*o. Is (g\/(-156))\/(1\/15213) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 96 and 3072.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 2363445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 576.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -19861, -38531, -57209, -75895, -94589?\n\"Answer: -4*y**2 - 18658*y - 1199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 4*h**2 + 3*h - 9. Calculate v(7).\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10212112 + 1322121?\nAnswer: -2223331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 1 + (-4 - (7 - 15))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 2*x - 5*k + 3, 5*x + 9 = 4*k. Is x <= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/176*-66)\/(-2 + 4 + -3) + 79.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -l**5\/60 + 11*l**4\/24 - 11*l**3\/6 + 3*l**2\/2 + 2. Let b(h) be the second derivative of q(h). List the prime factors of b(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 8, a: 4, r: 1}. What is prob of sequence ry?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 25 = 2*v, 13*v = 10*v + 5*z + 47 for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1379400 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39 by -299500.\nAnswer: 39\/299500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -3*w + 8, 0 = -3*c - 5 + 11. Let r be 1\/(3 + -4) + w + 1085. Let k = -563 + r. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -775, -774, -773, -772?\n\"Answer: n - 776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of h**2\/2 + h - 217. Let f(k) = 2*k + 2. Calculate -6*f(z) + 13*l(z).\nAnswer: z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -9. Which is the biggest value? (a) 5 (b) n (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -1\/6 (c) -3 (d) 5\/9 (e) 6.7 (f) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x - x**2 - x**3 - 1 - 3 + 0*x**2. Let l be (1\/(-2))\/((-4)\/48). Suppose l*m = -m. Give a(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -837246*p**4 + 99*p**3 - 88680731*p**2 wrt p.\nAnswer: -20093904*p + 594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -5*g**3 + 7*g**2 + 3*g - 4. Let y(o) = o**2 + o - 1. Let r(w) = -b(w) + 5*y(w). Determine r(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000466053538 to seven decimal places.\nAnswer: 0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -230 or -231?\nAnswer: -231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/g**(-1\/4)))**(-4\/15)*g*g*g\/(g\/(g*g*g\/(g**2\/g)))*g*((((g*g\/(g\/g**4))\/g*g)\/g)\/g*g)\/g*g assuming g is positive.\nAnswer: g**(136\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -6*(((((sqrt(2057) + 1 - sqrt(2057)) + sqrt(2057))*-2)**2 - sqrt(2057)) + -3) + 0 + -2)*6.\nAnswer: -296238 - 2772*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -109 - -5?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29)\/((-174)\/(-36))*5\/10*1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (-35 - -20) + 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by -68.\nAnswer: 13\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/3 (b) -5 (c) 0.04 (d) 1 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/557316 and -37\/3051?\nAnswer: 1671948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 3 - (-13 + -9 + 3 - -13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 1. Let f(n) = -n**2 - 6*n - 4. Let a(k) = c(k) + f(k). Let z be a(-5). Differentiate -3 + 3*b**2 + 5 - 4*b**z wrt b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 134 - 57. Suppose -5*b + 3*c + h = 0, 32 = -4*b + 4*c + 92. Calculate the least common multiple of 8 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 9*c**2 - 10*c + 12. Let w be j(-9). Suppose 0 = i + 3, 0*l = -3*l - i + w. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 407005?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + f. Suppose z = -5*h + 8667, f*z - 2*z - 5*h = -17329. Let w = -3155 + z. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -3*q**2 + 41*q - 329. Determine x(22).\nAnswer: -879","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 50*b**2*k**2 + 3*b**2*k - 735*b**2 + 8*b*k**2 + 3*k**2 wrt k.\nAnswer: 100*b**2 + 16*b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2109 and 111?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5717 a multiple of 175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -497*k**3 + 994*k**3 - 498*k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - 11*k**2 - 12*k + 2. Let i(t) = t**3 + 15*t**2 + 13*t - 1. Give 12*i(j) + 13*r(j).\nAnswer: -j**3 + 37*j**2 + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 + 5*a - 10. Give y(6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1563, -3042, -4521, -6000, -7479, -8958?\nAnswer: -10437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mrmmmmmvmmrmq. What is prob of sequence qmm?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 - 29*u**2 + 65*u + 26. Let n be v(-31). Which is the smallest value? (a) 1 (b) -0.1 (c) -5 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -10 + 2*x + 9 - 4*x. Give t(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 94*3\/6 - 2. Suppose -i = -3*t - 3*s, 3*t = -t - s + 72. What are the prime factors of t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9647814.\nAnswer: 2, 3, 11, 97, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a - 7. Let u be j(7). Suppose 0 = -4*r - 4*y, r - 8 = 5*y - 4*y. Sort u, -2, r in increasing order.\nAnswer: -2, u, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15691*y - 15687*y + 42*y**3 - 6*y**3 + 31367*y.\nAnswer: 36*y**3 - 11*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -354*u**4 + 2*u**2 + 2854*u?\nAnswer: -4248*u**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + 4*x - 14. Give i(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + 78609)\/(51\/85) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in eleven quarters of a microgram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 4)*(-4 + 5 + 0)*(p + 4*p - 3*p) + (-108 - 91 - 197)*(5*p - 2*p - 4*p) as k*p + d and give k.\nAnswer: 398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 59 = 2*n + 67, 4*n - 4*g = 24. What is the remainder when 4 is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 2. Let r = -31 + 28. What is the smallest value in 5\/3, x, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82, 119, 156, 193, 230?\nAnswer: 267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 110325\/31522 + 1\/15761. Let o(z) be the first derivative of z**4 + 8\/5*z**5 + 1\/2*z**6 - l*z**2 + 6 - 2*z - 2*z**3. Factor o(u).\nAnswer: (u - 1)*(u + 1)**3*(3*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 98 = -182. Is 10 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p**3 - 36*p**2 + 26*p + 22. Is w(15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8050885nm to millimeters.\nAnswer: 0.0000008050885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.734 (b) 1\/6 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -c - 24. Suppose 0*q - 15 = -5*q. What is the highest common divisor of c and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (16\/12)\/(4\/6) + -4. Let h(b) = -8*b + 9. Let c(q) = 4 + 7*q - 4*q - 7 + 0. Let f(n) = d*h(n) - 7*c(n). Differentiate f(i) wrt i.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -158.57 rounded to zero dps?\nAnswer: -159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2279783 is divided by 227978.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -67, -6837, 2 in increasing order.\nAnswer: -6837, -67, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (((-1105)\/30 - 5) + -2)\/((-4)\/168). Are r and 3681\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -607*z - 10896. Let q be l(-18). Solve 273 = q*u + 9*u for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 731 - 750.84. Let u = d + 19. Let p = -0.2 - u. What is p rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4 = -4. Is 5 at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 120 and 150.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -915703 greater than or equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143414 + 915742 + 1063860 = 4*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9070 by 2.\nAnswer: 4535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16362063577 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -u*v**4 + 59*u*v**3 - u*v**2 + 2*u*v - 4*u + 15*v**3 - 2289*v**2 wrt v.\nAnswer: -24*u*v + 354*u + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.4 + 1.4. Let y = i - -3. Let q = -4449.4 + 4451.4. Put -0.02, y, q in descending order.\nAnswer: y, q, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19887812 is divided by 2071?\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**3 + 0*u**3 + 0*u**3 + (-3*u**2 + u - u)*(3*u + 0*u + 0*u) + (-1 + 1 - 2*u)*(0*u**2 + u**2 - 2*u**2) to p*u**2 + d + j*u + r*u**3 and give r.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.2 - -2. Let x be 1 + -1 + 4 + 11 + -11. Which is the biggest value? (a) 0 (b) w (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102497881*r**3 - 42476246*r**3 - 78983930*r**3.\nAnswer: -223958057*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4 = f. Suppose -f*d + 13 = -17. Let v(h) = 2*h**2 + 10*h + 18. Let r be v(-9). Calculate the greatest common factor of d and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26781 = -14*s - 8987. Suppose -5*v + 4209 + s = 0. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 936724 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l. Let b(h) = -h. Let q(f) = -5*b(f) - 6*r(f). Let g(d) = 28*d**2. Determine g(q(w)).\nAnswer: 28*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (108 - 81 - 3) + (2 - (1 - 0)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2505087 divided by -7137\nAnswer: -351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2088?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 44\/(-18)*(-4)\/(352\/99)\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23447*h**3\/7 - 23445*h**2\/7 - 46896*h\/7 - 4\/7 = 0.\nAnswer: -1, -2\/23447, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 32001717?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/(-4))\/(15\/(-20)). Suppose 3*a = y*a + 5. Suppose 4*c - 169 = 3*z, -z = 6*c - a*c - 51. Calculate the common denominator of c and 7\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 72*w**2 - 85*w - 8. Let r be l(3). Suppose 0 = 4*g - 7*g + 165. What is the highest common factor of g and r?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*f**2 + 10*f**2 + 0*f**2 + 19*f**3 + 3*f**3 - 4*f**2 - 2*f to v + i*f + r*f**3 + j*f**2 and give r.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -131*y**3 - 34*y + 78*y**3 + 47*y**3 to the form p*y**3 + f + s*y + j*y**2 and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (13216\/6 + -2)*-3. Let y = 9639 + n. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -111424, -224731, -338038?\nAnswer: -451345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -2, 1 in ascending order.\nAnswer: -2, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1594963 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3434\/19 - -44566\/247. Which is the closest to -2.2? (a) 2\/63 (b) 4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007506186 to five decimal places.\nAnswer: -0.00075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + -1 - (-1*18 - 2). Let i(p) = -p**3 - 5*p**2 - 5*p - 4. Let k be i(-4). Let y = k + 4. Solve -y*a = m - 2 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + y + 3*y - y + 2*y + (-1 + 6 - 3)*(-y + 0 + 0) - 2100*y - 1730*y + 3430*y.\nAnswer: -397*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, o: 7}. Give prob of picking 3 a.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**5\/17 + 4770*u**4\/17 - 57864*u**3 - 8098976*u**2\/17 - 16351104*u\/17 = 0.\nAnswer: -4, 0, 237, 2156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 24*v + 8. Let y be d(9). Suppose 3*b = 35 + 61. What is the greatest common divisor of b and y?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -939483 - 4?\nAnswer: -939487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*k - 23. Suppose -3 = 2*w + k, j = -w - 3. Solve -1 + j = -y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1600\/9 - -178. Let v = 4 - 7. Let h be -8*(-14)\/28 + (-54)\/14. Sort v, h, z in ascending order.\nAnswer: v, h, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 + 6*t - 2. Let a be q(4). Suppose 0 = m + 2*y + a - 16, 0 = -2*m + 4*y + 20. Calculate the highest common divisor of m and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.31 + 25.19. Let w = -25.5 + g. Suppose 5*i + 2*t + 15 = 0, 3*t - 9 + 0 = 3*i. Which is the biggest value? (a) -2 (b) i (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 a when three letters picked without replacement from {m: 17, a: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 611?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -223 - 112?\nAnswer: -335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -949737, -1899474, -2849211, -3798948?\nAnswer: -4748685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -57\/3101?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 2*t + 1315 = -541, -2 = -t. Let x = l + -217. Suppose 0*i = -5*i + x. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6042 and 31267977?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 9:18 PM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 9:14 PM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -204 + 324. Let c = i + -112. Sort 2, c, 5 in decreasing order.\nAnswer: c, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4135 + 100205?\nAnswer: 104344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.973 and 3.3.\nAnswer: 3.2109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 308 = 5*h. Calculate the remainder when h is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from cfcfcccc?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -17*v**3 + 6*v**2 - 6*v + 6. Let m(p) = -295 + 17*p**2 - 52*p**3 + 231 + 81 - 17*p. What is 6*m(y) - 17*o(y)?\nAnswer: -23*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5367?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1825 and 123925.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + -2)*(-14 - 583). Let w = s + -405. Calculate the highest common divisor of w and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -54 + 213\/4. Let i = -93 + 93.1. Sort -3, i, g in increasing order.\nAnswer: -3, g, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4603760.\nAnswer: 2, 5, 7, 8221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -100*o - 267. Let y(l) = 149*l + 395. Let m(p) = 8*j(p) + 5*y(p). Determine m(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 - 3 = -5*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4293*z + 4302*z - 990 = 0 for z.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10431 + -5822. Let k = f + -3064. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - j = 18. Let x = 50 - j. Suppose -x = -3*b - 5*d, -2*b - 5*d + 120 = 3*b. Calculate the greatest common factor of b and 104.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1103, -2083, -3067, -4055, -5047, -6043, -7043?\nAnswer: -8047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 71.6 + -72. What is the closest to 1 in 0.26, -3, s, -39?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -199*f - 2024 + 89*f - 151 + 2*f**4 with respect to f.\nAnswer: 8*f**3 - 110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1920) - (sqrt(1920) + sqrt(1920)*-2 + sqrt(1920))) + sqrt(1920) - sqrt(30))\/((sqrt(30) + sqrt(210)\/sqrt(7))\/sqrt(5)).\nAnswer: 15*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.62 + -6.22. Let w = 6 + s. What is the third biggest value in -4, 4, w?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2300 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**0\/b*b*b**(3\/8))\/(b**(-3\/8)\/b**(-5)))**49)**14 assuming b is positive.\nAnswer: b**(-5831\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*r**5\/9 - 458*r**4\/3 + 63440*r**3\/9 + 649330*r**2\/3 - 1077356*r + 1106016 = 0. What is r?\nAnswer: -24, 3\/2, 3, 82, 281","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/8709 (b) -5 (c) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -4*v. Suppose 3*w - 4*w + 5 = v. Suppose -2*a - 951 = -w*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ynjjtuytjyttyxtttj. What is prob of sequence yxj?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 7*f**2 + 1440*f + 480249. Let t(k) = 8*k**2 + 1449*k + 480249. Let d(r) = 6*t(r) - 7*z(r). Factor d(b).\nAnswer: -(b + 693)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.4 - 9. Let t = a - -9.40057. What is t rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.9624 - 31.14502373.\nAnswer: -25.18262373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 305031 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -197182808, -197182811, -197182816, -197182823, -197182832?\nAnswer: -197182843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -4*c + 9. Let z = 54 + -58. Let o(a) = 2*a - 4. Give z*g(w) - 9*o(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-1)*a*a*a)\/a)\/a)**(1\/2)\/((a*a*(((a\/((a**0\/a*a*a)\/a))\/a)\/a)\/a)\/a**(2\/17)) assuming a is positive.\nAnswer: a**(2\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 17*l + 64. Calculate c(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of -t**6\/40 - t**5\/40 + t**3\/3 + 8. Let u(p) be the third derivative of c(p). What is the second derivative of u(f) wrt f?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*c - 141*c = 700 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 + 4 - (1295 - 1160)?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 34257975?\nAnswer: -34257979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = r + 2, 4*r + 23 = 2*c - 5*c. Let u be 1 + (c - 1) - -3. Determine g so that g**3 - g + 0*g**u + g**2 + g = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*r**3*u*z**2 + 9*r**3*z**3 + 88*r**3*z + r**2*z + 104*r*u*z**3 - 3*r*u - 2*u*z**3 + 5*u wrt r.\nAnswer: 48*u*z**2 + 54*z**3 + 528*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*k + 5*k**5 - 13*k**2 - 3*k**2 - 13*k**3 + 16*k**4 - k**5 - 11*k**3.\nAnswer: 4*k*(k - 1)**2*(k + 1)*(k + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/54 and (-14)\/(-3276)*((-194)\/(-8))\/(9\/(-12)).\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*o**4 + 16*o**4 + 5 - 7*o**4 wrt o?\nAnswer: 12*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -1027\nAnswer: 2\/1027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 8.603316g?\nAnswer: 0.008603316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = 4*w - 17, 5 = 4*w - 7 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 228 divide 7980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2499*h**2 + 8417 wrt h.\nAnswer: -4998*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*c = 3*o - 10*c - 36, -o - 10 = -2*c. Solve 12 = 2*w + f + 11, -w + o*f = 2 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, h: 2, a: 2, v: 1, e: 1}. Give prob of sequence ah.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 233213 - -1010?\nAnswer: 300223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = -5*n + 211. Suppose 35 - n = m. Solve 20 = m*z + 2*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37b (base 13) to base 8.\nAnswer: -1141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 16. Let q(t) = -t**3 - 7*t**2 + 6*t. Let g be q(-8). Let n = g + z. Is 5 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.1 - 2.6. Let o = -0.3 + 0.5. Let v = -6303 + 6298. Which is the second smallest value? (a) x (b) o (c) -1 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87 + 83 = -4*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence utc when three letters picked without replacement from ckukt.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -805 + 508. Let y be o\/(-45) - 6\/10. Sort -2, 3, y, 4.\nAnswer: -2, 3, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 4*n - 3*n + 24, 4*o - 3*n = 28. Let i be (11\/(-33))\/(((-12)\/9)\/(-4)). Let h = o - i. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*5*(-1 + sqrt(108)).\nAnswer: -60*sqrt(3) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-3)*t)\/(t**13*t)*t**(-4)*t**(2\/13))**(22\/3) assuming t is positive.\nAnswer: t**(-1892\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 12993 from 270.\nAnswer: -12723","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 {z: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.06, -29\/5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -53293\/9 + 5928. Calculate the common denominator of w and 36\/189 + (-4)\/42.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 564*t**2 + 10. Let y(n) = -32431*n**2 - 574. Determine -287*i(q) - 5*y(q).\nAnswer: 287*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -406 - 1661 = t. Let f = -524 - t. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 154\/38161 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/9826 and -81\/22.\nAnswer: 108086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*u**5 - 3246*u**2 - 5*u + 3246*u**2 wrt u.\nAnswer: 400*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -15*y - 9. Let c(x) = -7*x - 4. Let n(a) = -9*c(a) + 4*o(a). Let i(p) = -17*p**2. Give i(n(u)).\nAnswer: -153*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(468)*-2)*-2 - (2*sqrt(468)*-2 + sqrt(468) - (sqrt(468) + sqrt(468) + -2*sqrt(468)*2)))**2.\nAnswer: 480*sqrt(13) + 11764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101110110101100001110 (base 2) to base 12.\nAnswer: -1271952","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) + (-1 + sqrt(252))*-6 + sqrt(252) + (-2 + sqrt(252))*2 + 2 + -6*(sqrt(252) + sqrt(252)*-1*-4))*-6)**2.\nAnswer: -55296*sqrt(7) + 9290304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 + 7*r - 2. Let t be g(5). Suppose f - t = -3*f. Calculate the least common multiple of 22 and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/19, -3, 3, 260371, 0, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 3*c + 4, -2*c = 3*g - 4. Let k = g + 6. Let q(p) = 3*p + 2. Let u be q(0). Solve -u = 2*h - k for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 156 divide 38688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 7*v + 5. Let n(g) = -6*g - 4. Let f(q) = 5*n(q) + 4*o(q). Let j(p) = 14*p**2. Determine j(f(i)).\nAnswer: 56*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/90)\/(6366\/(-10610)))\/(4\/(-36)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 689*p**2 - 339*p**2 + p**3 - 342*p**2 + 4. Let c(k) = k**3 - 4*k**2 + 2. Let s be c(3). Is l(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + -3. Let v(o) = o + 7. Let f be v(t). Suppose 5*d = -3*u + f*d + 9, 5*u - 3*d = 29. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, g: 6, h: 1}. What is prob of sequence ggg?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-2\/5))**(-8)*t**(-1)*t*t**(2\/9) assuming t is positive.\nAnswer: t**(-206\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 466610 + -262610. Round p to the nearest ten thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 100530 and 2345700.\nAnswer: 7037100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/96*2)\/1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 5 (b) -15 (c) -2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -229 + 229. Solve a = 5*y - 4*j - 18, -y + 8 = -4*j - 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21760 rounded to the nearest 1000?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-9))\/((-65)\/(-312)*16).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 34 = 6*z, -85 = r + 3*z - 104 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -80511 (base 9) to base 11\nAnswer: -36824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -23967*v - 4553722. Give y(-190).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 256848300 divided by -128424150.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 - 3*g - 2. Let s be l(-2). Find the common denominator of -21\/32 and (-122)\/12 + 1 + s.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1258243?\nAnswer: 7, 179749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 958.\nAnswer: 2, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 5*t - 137. Let h be l(28). Let o(r) = 10*r**2 + r - 1. Let u be o(-2). What is the second derivative of -14*y**3 + u*y**h - 7*y**3 - 29*y wrt y?\nAnswer: 96*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*j + 984 - 1470 = 0 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 31905244 or 31905250?\nAnswer: 31905250","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3*n = -31 - 17, 2*n - 6 = 0. Let u = -41 + t. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away -144574684?\nAnswer: 144574684.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 520 + -6287\/12. Find the common denominator of 29\/12 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 298*a**3 - 3*a**2 + 15275*a.\nAnswer: 1788*a - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 811 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 252*a - 255*a + 4*r - 34, -5*a - 34 = -r for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 0 = -2. Suppose c*a - 9 = 9. Solve -5*n + 23 = -0*n + 3*i, 0 = 2*n + i - a for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9 + (-2)\/1 + 1. Suppose 2*t + q - 264 = 0. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 387*q - 392*q + 4*x - 7, 0 = 5*q + x - 8 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -36*o + 48. Let c(b) = -2*b**2. Determine c(u(l)).\nAnswer: -2592*l**2 + 6912*l - 4608","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 - 33*a - 12. Let g be k(-28). Calculate the highest common divisor of g and 576.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -13*g**2 + g + 1. Determine j(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i. Let z(r) = 61*r**2 - 28*r**2 + 168*r**2 - 16*r**2. What is y(z(a))?\nAnswer: 370*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202212012 + -1010111?\nAnswer: 201201201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97 + 97 - 460*c**2.\nAnswer: -460*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5713 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(324)\/(sqrt(12) + sqrt(12)*2))\/(sqrt(27)\/(-2*sqrt(9))))\/((sqrt(60)\/((sqrt(4) + sqrt(20)\/sqrt(5) - sqrt(4)) + sqrt(4)))\/(4*sqrt(15)\/sqrt(3))).\nAnswer: -16*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w**3 + 37*w**2 + 316*w - 5169. Give a(20).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 17*l**2 - 16*l + 320. What is the thousands digit of r(13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u = -0*u. Let b(n) = n**2 - 2*n + 5. Let x be b(u). Suppose -5*r + 185 = 5*y, 123 = 4*r + x*y - 28. List the prime factors of r.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 225 and 148725.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 4*y - 8, r + 0*y = y + 2. Let p = 2 - r. Suppose -p - 3 = 2*h - x, -5*h + 25 = 5*x. Let a(o) = o**3 + o**2 + o - 1. Determine a(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 10*w**2 - 3*w**3 + 6690*w - 12 - 6688*w + 2*w**3. What is the remainder when 27 is divided by y(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7968 (b) 1\/9 (c) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*0.367237.\nAnswer: -0.1836185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 - 11 = -3*f, 2*m - 4*f = 9810. What is the hundreds digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 6:01 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -18*g + 1 - 5*g**2 + 932*g**3 - 931*g**3 + 20*g**2 - 11. Let u be c(-16). Calculate the highest common factor of u and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -6*l - 59. Calculate j(-12).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -384, -799, -1224, -1665, -2128?\n\"Answer: -w**3 + w**2 - 411*w + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of w**5\/35 - w**4\/14 - w**3\/7 + 2*w**2\/7 + 4*w\/7 - 268. Find y such that m(y) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 27*j**2 + 850*j - 29. What is the hundreds digit of g(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -45891956 + 45891952.0000003. Let s = -4.7 + 0.7. Let l = s - k. What is l rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 8*g**2. Let v(i) = -i**2. Let t(h) = 44*v(h) + 6*y(h). Suppose 3*u = -u + 16. Let d(s) = 0*s + u*s - 5*s + 7*s. What is t(d(l))?\nAnswer: 144*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + (-134)\/126)*1855\/(-2650).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26604 - 73*c + 13302 + 13302.\nAnswer: -73*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*p + 221 = -571 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a3 (base 12) to base 14.\nAnswer: -2b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143003658?\nAnswer: 2, 3, 7, 486407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24004 + -0.3.\nAnswer: 24003.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 40.8. Let m = r - -31. Let g = 2.99 + 0.01. Which is the nearest to m? (a) 0.5 (b) -5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 - 0.3. Let f = 7 - 3. Let s = f - 0. What is the nearest to r in s, 3, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*t - 3 = 4*o + 45*t, -5*t = o + 5. Suppose -4*l = -9*l, l = g + 8. Put o, 5, -1, g in increasing order.\nAnswer: g, -1, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 8*d**2 + 9*d + 14. Let h be w(-7). Suppose h = 3*p + k - 176, -5*p + 5*k = -217 - 43. List the prime factors of p.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26488 is divided by 3307.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -122.9 and 29552058803.\nAnswer: 29552058680.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1355795641?\nAnswer: 1355795641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, -11, 0, -4, 522, -8 in descending order.\nAnswer: 522, 0.04, 0, -4, -8, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 0 + (-3 - -1 - -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 = -11*x + 19*m - 22*m, -10 = -2*x - 5*m for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34107*m**3 - 55129*m**3 + 20822*m**3.\nAnswer: -68414*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 0 + 84*z + 71*z - 1 - 153*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (297\/45)\/(((-48)\/(-36))\/(140\/21))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 1018.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**3 + 43*y**2 + 31*y - 56. Calculate u(22).\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3*y + 3 = 0. Suppose 5*z + 2*f - 60 = 5, -y*z - 5*f + 20 = 0. Solve -3*i + 9 = 3*x, z = 5*i - 4*x + 6*x for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*u**2 + 35*u**3 + u**2 - 19*u**2 + 15*u**2.\nAnswer: 35*u**3 - 20*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnu when three letters picked without replacement from bjfjfbjfjjnnuj?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 14 = u, -2*l - 52 = 46*u - 48*u. Suppose t - 4*v = u, 4*t - 4*v + 8*v - 76 = 0. What is the smallest common multiple of t and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6 - 2)*(-2)\/(-4). Suppose d*m - 4 = -2*m, 0 = 2*x - 4*m - 174. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 699622.8 centimeters to kilometers.\nAnswer: 6.996228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of -z**6\/24 + 7*z**4\/6 - 28*z**2. Find the second derivative of a(u) wrt u.\nAnswer: -30*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 2, 4, -9 in descending order.\nAnswer: 4, 2, -7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 390 and 580.\nAnswer: 22620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*y - 18*y - 108 = 3*p, -2*y + 3*p = -54 for y.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(5\/2)*m)\/m)\/m)**(2\/141)\/(m**(-2\/35)*m**(2\/5)\/m*m) assuming m is positive.\nAnswer: m**(-1517\/4935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -15. Let s be 1*0*(-1 - k). Suppose s*v = 5*v - 7250000. Round v to the nearest 100000.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 165497\/20 + -8274. Let d(z) be the second derivative of 0*z**4 + 0 + 0*z**3 + 7\/2*z**2 + 12*z + c*z**5. Find the first derivative of d(v) wrt v.\nAnswer: 51*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*l - 749 = 716 - 586 + 485 for l.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 58085129 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 3*d + 201. Let u be 2\/(-3)*15\/d. Let a be 9\/(-15) - 42\/(-45)*513\/228. What is the nearest to u in -4, 1, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23 - (18 + -2)) + -4 - (1 - -8).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 612 + -267. Suppose 5*j - 130 = b. Suppose -v + 5*f - j = -5*v, -4*f = -3*v + 48. Calculate the greatest common factor of v and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -5. Let a be (4\/(-6))\/(2\/9). Sort a, i, -2 in decreasing order.\nAnswer: i, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66117?\nAnswer: 3, 22039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 536 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**4\/11 - 1044*m**3\/11 - 1042*m**2\/11 = 0. What is m?\nAnswer: -521, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/188*14\/448*8?\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432)*-4 + (sqrt(27) - (sqrt(162)*1 + sqrt(162) + sqrt(162))\/sqrt(6)))\/(5*-1*sqrt(225)) + 1.\nAnswer: 1 + 18*sqrt(3)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17*d**2 - d + 128.\nAnswer: 34*d - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 1705*v**2 + 1669*v**2 - 5272*v**2 + 1786*v**2 - 11*v as x*v**2 + w + f*v and give f.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 21\/(-14)*8\/(-3). Suppose -3*s - 56 = 4*m - 188, 3*m = -h*s + 99. Let i = m + -14. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54491 is divided by 3883?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 48679 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*d + 143513 = 422519. Is 21 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -8*a**2 + 1. Give m(2).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 92.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2272.37 < 489?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1496\/19800*198 - ((-51)\/25 + 2).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -3, 3\/16, -5, -4\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -2, -4, -2\/15, 0.01?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -357.14 + -1646651508\nAnswer: -1646651865.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, v: 8}. Give prob of picking 2 p and 1 v.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3432940500 rounded to the nearest one million?\nAnswer: 3433000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c**3 + 15*c**2 + 126*c + 2490. What are the prime factors of w(-17)?\nAnswer: 2, 3, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 4*d**3 + 6*d**2 - 13*d - 3. Let n(x) = 4 - 10 + 11*x**2 - 25*x - 8597*x**3 + 8604*x**3. What is 6*n(v) - 11*w(v)?\nAnswer: -2*v**3 - 7*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 688748 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -1 + 2 - 3*p**2 - 3*p + 2*p**2 + 0*p**2. Calculate b(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -319 and -1?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -203*a**2. Let c(k) = 582*k**2. Calculate d(c(r)).\nAnswer: -68760972*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.03714 + 15.96286. What is the fifth biggest value in -5\/2, 1\/4, i, 0.3, 3?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3*x**3 + 5*x**2 - 5*x - 5. Let l be z(-4). Let o = -58 - l. Suppose 302*h = 4593 + 3259. What is the highest common divisor of h and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 5*t**2 - 5. Let k(o) = 6*o**3 + 24*o**2 - 24. Determine 5*k(x) - 24*r(x).\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6144, -6163, -6184, -6207, -6232, -6259?\n\"Answer: -r**2 - 16*r - 6127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(((-4)\/16*-1)\/((-161)\/(-644))). Determine u so that -1\/2*u**3 + 1\/2*u + m*u**2 - 1\/4 + 1\/4*u**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3.6299 (b) -0.5 (c) -4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 769844 is divided by 466?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -0*l + 120. Suppose 2*f = -b + l, -2*b - 3*b = 4*f - 66. What is the smallest common multiple of f and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 62137970.\nAnswer: -3\/62137970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1317 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*h - 498 + 907 = -1048 for h.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + (39 - (16 - 7)) - 32.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 11*k**3 - 1. Let j(s) be the first derivative of s**2\/2 + 41*s - 145. Let p be j(-42). Give x(p).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 75 = -0*y. Let k = -23 - y. Suppose p + p = 10, 0 = k*o + 5*p - 53. Calculate the smallest common multiple of 2 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 6*o = -1104. Calculate the highest common divisor of 92 and o.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**(-12)))\/r)**(-39)*(r*r*r**(-3)*r)\/(r\/(r\/(r**(-4\/7)*r*r)*r)) assuming r is positive.\nAnswer: r**(-3006\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o, 1 n, and 1 g when four letters picked without replacement from {n: 1, o: 2, i: 4, z: 2, g: 2, t: 1}.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of 2*r**3 - 235. Let t(k) = -3*k - 2*k + 2*k. What is i(t(h))?\nAnswer: 54*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 AM and 2:21 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b + 13. Let d be g(7). Calculate the highest common divisor of d and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -125305 - 2?\nAnswer: -125310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/48 and 53\/828?\nAnswer: 3312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of i**5\/20 - i**4\/3 + i**3\/2 + i**2\/2 - i. Let v(u) = -u**3 + 2*u**2. Let w be v(-1). What is the units digit of j(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/5*(-30)\/3. Solve j*g - 6 - 6 = 5*k, 3*g + 24 = -3*k for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3341237?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(2\/3))**(-4\/13)*u**(-2)*((u\/u**(-4)*u)\/u*u)\/u)\/((u**(-1\/3))**(-40)\/(u\/(u*u\/(u\/(u\/(u*u**1))))*u*u\/u**8*u)) assuming u is positive.\nAnswer: u**(-193\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -134, -2, -493.\nAnswer: -493, -134, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 + 8*i + 2. Let g be v(7). Suppose -5*y - 2*d - 20 = 0, -4*d + 23 = -2*y - g. Let l = -1 - y. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 39*r**4 + 8*r**3 - 24*r**4 - r**2 + 5350 - 5345 as j*r**3 + x*r**2 + c*r**4 + a + m*r and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p + 1. Let j be s(2). What is the units digit of (-20)\/60 + (-235)\/j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((13 - 2)*2)\/(-2). Let t = b + 9. Let i be t\/7 - 2\/(-7). Solve 0*n - 5*n - 5 = i for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 1. Let f be (-495)\/126 + 12\/(-21). Sort f, v, -2 in descending order.\nAnswer: -2, v, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1104)\/(-230)*(-45)\/(-12). Solve 14 = s + n for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/15 - 244*o**2\/15 + 704*o\/3 - 13568\/15.\nAnswer: 2*(o - 106)*(o - 8)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19406 + 19421. Solve -3*v - 3 = -2*y, 4*v + p = 3*y + 10 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 217, -91, -4 in descending order.\nAnswer: 217, -3, -4, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 359405748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -27, -130, -339, -684, -1195, -1902, -2835?\nAnswer: -4024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 7, -9?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 - 4*t + 5. Let g be d(-5). Solve g = -z - 3 + 7 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28502687 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 355 (base 7) to base 9\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -90? (a) 0.1 (b) -2\/3 (c) 981 (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 + 6*h + 8. Let r be v(7). Let d be r\/(8\/7 - 1). Suppose d*p - 55 = 2*p. List the prime factors of p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a - 3*r + 9, -14*a - 4*r + 8 = -10*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 822383 to the nearest integer?\nAnswer: 907","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (39*v + 68*v - 8*v)*(-5*v**2 - 7*v**2 - 20*v**2) - 3*v**3 + 6*v**3 + 0*v**3 to the form a*v**2 + b*v**3 + f*v + h and give b.\nAnswer: -3165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, j: 1, r: 2}. What is prob of sequence rjq?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -933*a. Let c(f) = -17631 + 17631 + 14*f - 10*f. Calculate c(q(x)).\nAnswer: -3732*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from duutpcducdppfttff. Give prob of picking 1 d and 3 p.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/(-5*(sqrt(9) + sqrt(18)\/sqrt(2))))\/(sqrt(72)*-3*-3).\nAnswer: -sqrt(7)\/540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - 5*d**2 - 18*d - 7. Let m(c) = -c**3 - c**2 + c + 8. Let h be m(0). What are the prime factors of q(h)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -9. Let t = 0 - -22. Let i be t\/4 - 6\/4. Put -5, m, i in increasing order.\nAnswer: -5, i, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + -17. Let n = d - -5. Factor g + 3*g**3 - 159*g**2 + 161*g**n - 2*g**3.\nAnswer: g*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**2 - 3*s**2 - s**2. Let w be (2 - 3)*-13*1. Let t(o) = 5*o - 6. Let c(z) = -11*z + 13. Let g(u) = w*t(u) + 6*c(u). What is g(x(j))?\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1182 divided by -3.\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -8. Suppose 6*d - 15 = 3*d, 3*t = h*d + 358. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 3*v**2 - 2*v - 14. What is b(-5)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(114) + (4*sqrt(114)*-1 - sqrt(114)))\/((sqrt(216)\/sqrt(4))\/sqrt(9)).\nAnswer: 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, u: 2, v: 1, t: 6}. What is prob of sequence tlv?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, r: 3, t: 1, b: 1, e: 6}. Give prob of picking 1 a, 1 e, and 1 r.\nAnswer: 27\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*n - 3*n + 13*n + (-n - 3*n + 5*n)*(2 - 4 + 4) + 2*n + n - n + 0*n + 316 - 2*n - 284 as s + w*n and give w.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of -k**4\/18 - 10*k**3\/27 - k**2\/3 - 229*k. Factor u(h).\nAnswer: -2*(h + 3)*(3*h + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -1167070*y**2 + 14. Let a(m) = -6*m**2. Calculate p(a(c)).\nAnswer: -42014520*c**4 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02842936 to four dps.\nAnswer: 0.0284","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2*o - 3*o - 33 = 0, 5*g - 2*o = 55. What is the common denominator of (-76)\/(2\/(-1)) + 0\/g and -7\/37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.21945*0.5\nAnswer: 0.109725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9063 - 186. Let r = i + -674715\/76. What is the common denominator of r and 103\/114?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 766 - 1?\nAnswer: 765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -143, -147, -163, -197, -255, -343?\n\"Answer: -d**3 + 3*d - 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4195 divided by -839?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 4*t + 20, 4*t - 9*t = -4*w + 24. What is the closest to -0.48 in -3\/8, -0.5, -0.1, w?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13412, 13405, 13394, 13379, 13360, 13337?\nAnswer: 13310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.9 - 0.6. Let m be 75\/(-50)*8\/(-102). Let w = 0.2 - -0.8. What is the nearest to v in w, m, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**3\/8 - 5604*g**2 + 224253*g\/8 + 134541\/4 = 0. Calculate g.\nAnswer: -14949, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0132138 to three decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v + 3*v + 7*v + 3*v.\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 741 and 156?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -3*a**2. Let i(j) = 621*j - 81. Let r(q) = -34*q + 1. Let t(m) = -101*m + 4. Let n(k) = -8*r(k) + 3*t(k). Let o(s) = 4*i(s) + 81*n(s). Give o(c(y)).\nAnswer: 81*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2*u - 4884 = 3*x, -2*u + 4881 = -3*x. Let k = -16311\/10 - x. Calculate the common denominator of k and 14\/(-8) - -1 - (-314)\/120.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.09? (a) 14\/43 (b) -1 (c) -0.1 (d) 1 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*z**3 + 1 - 10*z**3 + 43*z**2 - 49*z**2 - 76*z + 4*z**2 - 12*z to n*z**2 + o*z**3 + g*z + u and give g.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/64)\/((370\/(-240))\/37).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 158500 and 1500?\nAnswer: 475500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41166 = 38*a - 56*a. What is the thousands digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -453.7 * 0.42\nAnswer: -190.554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7 and -31462.\nAnswer: -220234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -2*q + 130. Let b = q - 38. Let f = b + -38. Which is smaller: -10 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00296308 rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2664 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + 30. Suppose -k + 39*w + 27 = 36*w, 44 = 2*k - 4*w. What is the smallest common multiple of k and h?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2. Suppose 3*j + 8 = -2*a, -7*a - 12 = -3*a + 5*j. Suppose 5*u - a*u = 12. Let x(r) = u*r**2 - 5*r**2 + 2*r**2. Give z(x(f)).\nAnswer: f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) 1.8 (b) 2\/7387 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 117*w - 982. Let p(h) = -154*h + 1309. Let d(x) = 7*p(x) + 9*s(x). Determine d(13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6475696 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 2:07 PM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d**3 + 27*d**2 - 16*d + 6. Give n(-14).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -293, -689, -1087, -1487?\nAnswer: -1889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 333 = -94*b - 121*b - 4182 for b.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/68 + 192\/102. Suppose -4*a = -2*c + 276, -m*c + 5*a + 292 = 9*a. List the prime factors of c.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4.5905 (b) -5 (c) 5 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 77 - 74. Suppose -6*l = -t*l - 246. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -238896, -477724, -716492, -955206, -1193872, -1432496, -1671084, -1909642?\n\"Answer: -r**3 + 36*r**2 - 238929*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3757 + -3758. Which is the closest to k? (a) -3\/8 (b) -49 (c) 0 (d) -7\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + sqrt(325) + -4)**2*4.\nAnswer: -192*sqrt(13) + 1936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 11\/(4 + -3) - -1. Suppose 15 = 3*q - w. Let h(y) = -y + 15. Does 3 divide h(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 244 (base 7) to base 14\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*s - 62*s = 40*s - 556930. Does 37 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -11*k + 4. Let o(b) = -5*b + 2. Let r(t) = 6*i(t) - 13*o(t). What is the units digit of r(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -367*o = -342*o + 3283 - 141958. List the prime factors of o.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s + 385 + 2*s - 3*s.\nAnswer: -2*s + 385","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*j**2 - 93510000*j - 437206005000000 = 0. What is j?\nAnswer: -9351000","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3540 + 12985. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 4*p = -16, -2*a - 8 = -3*a - p. Let i be (1 + 2)*(-1 + a). Suppose i + 1 = j. Solve k = 4*y + j, 0 = -k - 3*y + 4*y + 4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + 4*q**2 + 4*q + 1. Suppose 0 = 4*a + 4*j + 8, 4*j = 4*a + 14 + 2. What is y(a)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 96578, 96534, 96504, 96494, 96510, 96558, 96644, 96774?\nAnswer: 96954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*h = -256 + 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -252 divided by -158\nAnswer: 126\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 13 = 1. Let h(o) be the first derivative of 0*o**q + 0*o**3 + 2*o - 1 + 1\/2*o**4. What is the first derivative of h(f) wrt f?\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2786884 divided by 1?\nAnswer: 2786884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 34305\/12*1*32. Let y(a) = i - 91480 - 4*a. Let o(b) = 3*b - 7. Determine y(o(c)).\nAnswer: -12*c + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*t**3 + 10*t**3 - 8*t**3 - t)*(116 + 51*t**2 - 116).\nAnswer: -204*t**5 - 51*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 937277819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 33 + 13 = 0. Let z be (-126)\/(-33) - 4 - (-13)\/11. Suppose 3*b - z = 11. What is the remainder when a is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.020758 from 1550.\nAnswer: 1549.979242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 28972033 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 2:01 PM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -8*d**2. Let p(v) = 9*v**2. Let m(c) = -5*g(c) - 4*p(c). Let t(i) = i**2. Give m(t(s)).\nAnswer: 4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 166198, 166197, 166196, 166195, 166194?\n\"Answer: -y + 166199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 6*t**2 - 2*t - 9. Let v be d(-6). Let y(s) = -s + 4. Let l be y(0). Suppose -15 = -a - 2*q, -2*a - 3*q = 3*a - 40. Solve l*x - v = a*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 392.848 years to decades.\nAnswer: 39.2848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -85*g**4\/2 + 19*g**3\/3 - 19*g**2\/2 - 24*g + 80. Let i be l(8). What is i rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 159 + -78 + -12 - (7 + 4 + (-2 - -1))?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + 1. Suppose v = -a + 4*q - 7, 5*a - 4*q + 16 = 0. Solve a = x - 4*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.74 - -0.16. Let x = -1.6 - s. Let l = 1.5 - x. What is the second smallest value in -2, 0, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 13*u**2 - 3*u - 6. Let c(y) = -14*y**2 + 3*y + 8. Let l(x) = -4*c(x) - 5*j(x). Determine l(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 68432?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -10*t**2 + 285683*t + 1428669. Calculate n(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 20*v**2 - 27*v - 40. What is the units digit of l(-20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 AM and 1:35 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-12)\/(-3 - 3))\/(4\/26). Let j(r) = 8*r**2 - 2*r - 6. Let h(q) = 17*q**2 - 4*q - 13. What is l*j(f) - 6*h(f)?\nAnswer: 2*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -363, -788, -1285, -1884, -2615, -3508, -4593, -5900?\nAnswer: -7459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6 + -6)*(-2)\/4. Suppose m = 5*j + 25, x = 4*m - 6*j + 3*j - 32. What is the remainder when 8 is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/(9\/(-26)) + 1. Let f = -28 - v. Let t(a) = -4*a - 10. Let m be t(f). Solve -2*x = -m*w - 10, 5*x - 20 + 3 = w for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.088 from -241.\nAnswer: -241.088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17239, 68994, 155265, 276058, 431379, 621234, 845629?\nAnswer: 1104570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 23576154 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*b + 146 + 99 = 0. Suppose -d + 132 = 4*h - 2*d, 2*h - 48 = b*d. What is the remainder when 335 is divided by h?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(352)*-2*-5)\/sqrt(8) + sqrt(396)*1 + 5.\nAnswer: 5 + 26*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 102 + -133100232?\nAnswer: -133100130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bsuoo. Give prob of sequence bous.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011110 + 1000101000011000?\nAnswer: 1000101001110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2481 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3 and -16917368.9506.\nAnswer: -16917371.9506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4 and -1510711204?\nAnswer: 1510711208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -28454216?\nAnswer: 85362648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2 - 457175*m + 34316250.\nAnswer: -5*(m - 75)*(m + 91510)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 92472 and 8072?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12 - (16 + -4) - ((-16)\/20 + 1). Which is greater: -47\/8 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*v**2 + 56*v**2 - 35*v**2 + 17*v**3.\nAnswer: 17*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 162837 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1085\/15 - 4)*3.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 960 - 241. Does 29 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.9 + -6.6. Round n to 0 decimal places.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o - 4. Let w be t(-3). Suppose -w*b - 3*b = -10. Let p(z) = -2 + 2*z - 5*z - 2*z**b - z**2 - z. What is p(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 11*q**4 + 5*q**2 - 5*q. Let r(o) = -13*o**4 - 6*o**2 + 6*o + 1. Let s(a) = 6*h(a) + 5*r(a). Find the first derivative of s(j) wrt j.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 80481?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*a**2 - 402*a + 402*a)*(0 + 0 + 1) to j*a + l*a**2 + s and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22265 - 22358.03. Let t = k + 88.1. Let h = t + -0.07. Which is the closest to -2\/7? (a) 2 (b) 5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + k = -28. Let i(d) = d**3 - 6*d**2 - 6*d - 3. Let s be i(k). Suppose 3*q = 2*q + s. Solve -3*f + 19 - 6 = q*o, f = 2*o - 9 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 11, -1\/12 in descending order.\nAnswer: 11, 2, -1\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32044062?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -235*n**2 - 234*n**2 + 467*n**2. Let l(i) = -4*i + 1. Let v(m) = -5*m + 1. Let g(r) = 3*l(r) - 2*v(r). What is g(b(d))?\nAnswer: 4*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 AM and 9:52 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 6*y - 140. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46333 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/5, 0.2, 15, 4, -0.3, -0.02?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -7 + (-12 + -3 - (-8 - 2)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5131 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 852.5785 micrograms to nanograms.\nAnswer: 852578.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 501.7334819 rounded to one dp?\nAnswer: 501.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4950.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74, 135, 194, 251, 306, 359, 410?\nAnswer: 459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 4*v, 4*v = -4*q + q + 5 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1744 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -118 - -123. What is the closest to -0.1 in -2\/5, v, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i + 122 - 127 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 4*l**2 + 2*l - 31. Suppose 5*o - 9*o = -20. Let m be p(o). Solve i + 12 = -4*d, 2*d = -2*i + i - m for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of f**5\/20 + 2*f**4\/3 - 11*f**3\/6 - 9*f**2\/2 - 14*f. Let j be -2*(3\/2 - -2). Let n be x(j). Round n to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21615?\nAnswer: 3, 5, 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*p + 1307 = -3733. Solve 0 = -83*q + 59*q - p for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 5*l = -102, 38*l = -2*i + 36*l + 72. Let s be 6\/(-9)*(-6)\/(-4). Sort 4, 0, s, i in increasing order.\nAnswer: s, 0, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -174*i**3 + 86*i**3 + 18 + 72 + 8*i**2 + 86*i**3 - 6*i**2 to s + v*i**3 + g*i**2 + w*i and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - -10) + -2 - 4. Solve -2*b**5 - 3*b**3 + s*b**5 - 2*b - b**5 + 5*b**2 - b**4 + b**5 = 0 for b.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -60 + 63. Suppose 5*q - 3*g = 0, 4*q + 1 + 2 = a*g. What is the remainder when 3 is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 104228567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 369010, 9 in ascending order.\nAnswer: 2, 9, 369010","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/2)\/j)**29*j**(1\/7)\/(j\/((j**(2\/23)\/j)\/j)*j)*(j**(-2\/5)*j\/(j\/(j\/j**(-1\/8))))**45 assuming j is positive.\nAnswer: j**(18489\/1288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 2 - 1) + -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*c + 0 = 144. Let d(j) be the first derivative of 1\/4*j**4 + 4*j + 0*j**c - 15 + 0*j**2. Differentiate d(i) wrt i.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-6))\/(1145\/1374)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 456.1114 and -3.4482338.\nAnswer: 452.6631662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qekk when four letters picked without replacement from {q: 1, e: 5, b: 2, k: 3, d: 1}.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44618334 divided by -7436389.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 4551?\nAnswer: 1\/4551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-100)\/56 - 2\/(-7) - -2. Which is the nearest to -1? (a) -1 (b) n (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/32 and -10*(-2670)\/19800 + 0 + 2\/(-11)?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - 2)\/((-6)\/4). Suppose 3*b + v*s - 274 = 0, 0 = 2*b - s - s - 166. What is the greatest common divisor of b and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -813*q - 1 + 823*q - 3 + (2 + 2 - 3)*(q - q + 2*q).\nAnswer: 12*q - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-252)\/(-567))\/(4\/18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1036801 - l + 5*l**4 - 3*l**2 + l**4 + 0*l + 1036803 to n*l**2 + q*l**3 + y*l + t*l**4 + k and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u**4 + 3*u**3 + 2*u**3 + 0*u**3 - 6*u**3 + 1 in the form m*u + i*u**2 + c + w*u**3 + l*u**4 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 100 = -w. Let o be w\/16*-1*4. Let d = o - -3. Let k(r) = -r**3 - 2*r**2 + 2*r - 1. Give k(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 1 - 7 - 1 + 161*p - 128*p as i*p + y and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 503143 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: Three letters picked without replacement from ngnnnnnnnnggnn. What is prob of picking 3 g?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(45\/(-54)))\/14.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/129 and -13\/30.\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ox when two letters picked without replacement from rxo?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 96200 and 463240.\nAnswer: 30110600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2812 + 6503. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9018 + 4.279.\nAnswer: -9013.721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 450 (base 6) to base 13.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 3*n + 11 = 0, 7*n - 2*n = 15. Solve -2*u = -q - 14, -s*q - q - 4*u = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 1:39 PM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 229.1277 years in centuries?\nAnswer: 2.291277","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -3 (b) -0.2 (c) 1 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -468 + 696 = -76*y. Suppose 3*j = 5*k - 5, -2*k + 3*k - 1 = -j. Sort 6, y, j, 4 in ascending order.\nAnswer: y, j, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, 1682 in descending order.\nAnswer: 1682, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/6 + (114\/18 - 5). Let a(u) be the first derivative of s*u**2 + 0*u**3 + 6 + 0*u - u**4. Find the second derivative of a(q) wrt q.\nAnswer: -24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 n when two letters picked without replacement from {n: 3, x: 2}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, n: 9, g: 2, u: 1}. What is prob of picking 1 n and 1 t?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 6236d (base 14) to base 5\nAnswer: 30033134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 42*u - 34*u - 12144. Is 66 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 - 18. Suppose -5*o + 650 = 5*u, z*u + 342 = 3*o - 42. List the prime factors of o.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/7, -2, -253?\nAnswer: -253","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 - 8*a - 7. Let d be x(-8). Let m(v) = v**3 - 2. Let c be 6\/(-4)*(-4)\/(-3). Let g(i) = -4*i**3 + i**2 + 7. Calculate c*g(y) + d*m(y).\nAnswer: y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -5, -3\/4, 0.5, -9, 4 in ascending order.\nAnswer: -9, -5, -3\/4, -0.1, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 1.8. Let f = 0.9 + j. Let m = 1 + f. Which is smaller: 0.2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11844 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 13 + 0*b**3 + 3*b**3 + 6*b - 4*b**2 - 6 - 4*b**3. Calculate t(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3217584192.\nAnswer: 2, 3, 137, 122323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cmccmcccccm. What is prob of sequence cc?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -9*f**4\/4 - 23*f**3\/3 - 24. What is the third derivative of l(g) wrt g?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f - 1. Let v(g) = 2*g - 4. Let i(b) be the second derivative of -1\/2*b**3 + 0 + 19*b - 29\/2*b**2. Let j be i(-9). Give j*l(o) + v(o).\nAnswer: 4*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hvpc when four letters picked without replacement from {v: 2, p: 1, h: 3, c: 1}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of 0 + 0*l**2 - 1\/2*l**3 - 4*l. Let u(f) = -3*f. Determine p(u(m)).\nAnswer: 9*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -61 + -114. Let d = -39 - q. Is d a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 - v + 2. Let c be t(-2). Suppose -m - 15 + 41 = c. Calculate the remainder when m is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 175, 291, 375, 421, 423, 375, 271, 105?\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -3*c + 31, -43*s = -48*s + 4*c. Which is greater: s or 256?\nAnswer: 256","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mvp when three letters picked without replacement from aavapaavvaaavvavmavp?\nAnswer: 7\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**2 - 2*l + 12. Calculate g(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*c**2 - 10*c**2 - 110*c**2 - 124*c**2.\nAnswer: -301*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 - -5. Calculate the remainder when x is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 635 + 43416\nAnswer: 44051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 12*o + 4. Let z be (3\/(-2))\/((-5)\/10). Is p(z) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 1:46 AM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 528417?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(72) + sqrt(72) + 0 + sqrt(72)*-2 + 2 + (sqrt(72) - (0 + sqrt(72) - sqrt(72))*3) + sqrt(72) + 5)**2.\nAnswer: 216*sqrt(2) + 369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*p + 5*q + 18, 9*p - 3*q = 45. Suppose 34672 = 5*d - 0*o - o, 3*o = -4*d + 27749. Is d\/4 - p\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 13\/3, 2, 34, -2\/3, -237 in descending order.\nAnswer: 34, 13\/3, 2, 0.2, -2\/3, -237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u + 10. Let j be t(-7). Suppose 0 = h + j*k - 3, 4*k - 14 = -3*h - 0. Solve -2*b + 4 = -h for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 - 23*n + 5. Determine v(9).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, t: 1, u: 2, z: 2, f: 1, n: 1}. Give prob of sequence yt.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -486*v + 282 + 40*v - 289.\nAnswer: -446*v - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**3 - 351792*p**2 + 10313837820*p - 41249722800.\nAnswer: 3*(p - 58630)**2*(p - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + g + 69, 0*a + 89 = 2*a - 5*g. Suppose -3*q + a = -q. What is the units digit of q\/(-10)*(-5)\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/12*42\/147 - (-86)\/12.\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -8, -2*j + 13 = 3*y - 9. Suppose -9 = -84*i + 82*i - k, 0 = i + k - 5. Calculate the greatest common factor of j and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 PM and 1:28 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 0. Let h = 1 + -2. Let g = 6 + -1. What is the closest to z in h, -4\/3, g?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 5:17 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 418 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 5 + 9 = 0. Calculate the common denominator of a\/(-3)*215\/20 and -31\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 7138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28\/349 + -30139\/2792. Calculate the common denominator of 27\/25 and x.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52 + (-42 - 23) + 35?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*n - 20 = -14*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 145 + -75. Let w be 13 + (0 - (-3 + 2)). Calculate the highest common factor of a and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20509488?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1255367 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-1 - 0)\/((-2)\/6) and 44\/7 - (-2)\/(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 60*b - 17*b**5 - 35*b**5 + 188*b**3 + 17*b**5 + 60*b**4 - 63*b**3 - 250*b**2 + 40 = 0?\nAnswer: -2, -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5902, 21991, 48802, 86335, 134590, 193567?\n\"Answer: 5361*f**2 + 6*f + 535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (18489735\/594)\/(10\/4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirteen twelths of a hour?\nAnswer: 3900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19643 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 34. Let v be (-12)\/(-4)*3\/((-27)\/l). What is the highest common factor of 20 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 70*i**2*x - 11*i**2 - 2*i*x - 32*x + 197 wrt x.\nAnswer: 70*i**2 - 2*i - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 21*h*o**3 + 2*h*o - 2231110*h - 845*o**2 - 3*o wrt o.\nAnswer: 63*h*o**2 + 2*h - 1690*o - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 2:26 AM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2895, 5757, 8575, 11331, 14007, 16585?\nAnswer: 19047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01*-52.\nAnswer: -0.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-18)\/(-15))\/(5*18\/2100) is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*o**2 + 3*o**2 - 11*o**2 - 19*o**2 - o**3.\nAnswer: -o**3 - 21*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 337, 682, 1027, 1372, 1717?\n\"Answer: 345*z - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of -q**7\/27 - 23*q**6\/135 - 11*q**5\/45 + q**4\/27 + 13*q**3\/27 + 5*q**2\/9 + 24*q + 10. Let m(y) = 0. What is y?\nAnswer: -1, 5\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -920*q - 1831. Let h be t(-2). Let v(w) be the third derivative of -w**4\/24 + 13*w**3\/6 + 5*w**2. Calculate v(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1220 and 58865?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**1*j*j*j\/(j\/j**(-3\/4)*j))\/(j\/(j**(-1)*j*j))**20)**(-6\/5) assuming j is positive.\nAnswer: j**(-3\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 6:01 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 36*q**3 + 902*q**2 - 351*q - 10037. Calculate p(-25).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 m when two letters picked without replacement from {v: 1, f: 1, q: 1, l: 1, m: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.584241 and 51?\nAnswer: 51.584241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of v**2 - 15184*v + 77837 wrt v?\nAnswer: 2*v - 15184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1053 + -500. Is 7 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**3 - 33*u**2 - 32*u + 258. Let v be q(17). Let c(m) = 30*m**3 + 16*m. Let p(t) = 10*t**3 + 5*t. Give v*c(k) - 10*p(k).\nAnswer: -10*k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s**35*s)*s**(-7) assuming s is positive.\nAnswer: s**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 83 - 81. Let s = 0.4 + -0.5. Let x = -55\/4 - -13. Which is the nearest to s? (a) h (b) -3\/7 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 464560533 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -65474 - -26446. What is y rounded to the nearest 100?\nAnswer: -39000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of t**3 + 0 + 6*t + 0*t**2 + 1\/3*t**4. What is the second derivative of b(o) wrt o?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -382 divided by -1370.\nAnswer: 191\/685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6017 and -7*-3*24\/252 + 1092.\nAnswer: 12034","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -3*o. Let x(d) = 2*d + 1. Let u = -6 + 5. Let g be x(u). What are the prime factors of z(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 86, -72, -710, -2068, -4386, -7904, -12862?\n\"Answer: -40*j**3 + 122*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 648766 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 282508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 89629866 divided by -2891286?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 458 (b) 0.4 (c) 32 (d) 2\/17 (e) -4.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -6*a + 10*a. What is the common denominator of ((-6)\/65)\/(a\/45) and 3\/28?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1764) + 1*sqrt(1764))\/(4*sqrt(192))*5 - (-3*(sqrt(363) + (sqrt(363)*2 - sqrt(363)) + 1 + 6*(sqrt(363) + (2*sqrt(363) - sqrt(363)))))**2.\nAnswer: -640341 - 22141*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 316 is divided by 101.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 + 8*f - 3. Let b be i(5). Let j = -250 - -441. Let y = 214 - j. Solve u + 4*h = y, -u - 5 - b = -4*h for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56701298263 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 9 in decreasing order.\nAnswer: 9, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39, 69, 103, 141, 183, 229, 279?\nAnswer: 333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**2 + 26*w + 2. Let d be l(13). Suppose -d*q = 5*i + 3*q - 3225, -12 = 4*q. What is i rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(15\/2)\/z**(1\/8))\/((z*z*z*z\/(z\/z**(1\/7)))\/z*z)**41)**(-25) assuming z is positive.\nAnswer: z**(170075\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2*n**5\/15 + 26*n**4\/15 + 6*n**3\/5 - 54*n**2 = 0.\nAnswer: -5, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -295\/131 less than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 276*j. Let v(i) = -6*i**2 - 4*i. Give w(v(p)).\nAnswer: -1656*p**2 - 1104*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 24228 divided by -6\nAnswer: -4038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -329717896, -329717894, -329717892?\nAnswer: -329717890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6433 and 497?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -7 (b) 88 (c) 2\/5 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 366 and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(33)\/sqrt(3)*-5.\nAnswer: -5*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of 7*r**6\/6 - 2*r**3\/3 - 36*r + 64. Find the third derivative of g(o) wrt o.\nAnswer: 420*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -74*k - 1518. What is the thousands digit of c(-92)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/30)\/((-3)\/(-5)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-14 - -6)*(2 + (-10)\/4). Solve 3*q + j = -8, -2*q - d*j = -5*q + 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 1352325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - 3*k - 10. Let l be c(5). Let y(h) = -3*h + 5. Let p be y(l). Suppose -2705 = -p*o - 0*o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/54 + 82\/612. Let u = y + 143\/850. Which is greater: u or 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133 (base 4) in base 9?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11394 + 11394.4. Let d = -3 - -7. Sort d, -0.2, -1.2, t in increasing order.\nAnswer: -1.2, -0.2, t, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 4 - 5. Suppose -p*b + 2*b = -9. Is 9 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001010010 - -10011101?\nAnswer: 1011101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14.7 - -11.7. Suppose -v = -4*z - 4, -48*v - 5*z + 20 = -43*v. Let l be (1\/3)\/(7\/(-6)). What is the closest to 0 in v, l, s?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -345, 315, 971, 1623, 2271, 2915, 3555?\nAnswer: 4191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -380 and 1.38?\nAnswer: -524.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-2) + 3 - (-15 + (-5490)\/(-345))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, s: 4, p: 5}. What is prob of picking 2 p and 1 s?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 5*d - 13 - 10, -3*d - 9 = a. Let g be (-260)\/3*a\/(-2). Calculate the highest common factor of g and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(8\/3)\/(t**(-2)*t))\/(t**4)**(-2\/5) assuming t is positive.\nAnswer: t**(79\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {z: 3, p: 9}.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -24 and 2.782719.\nAnswer: -21.217281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/3*(-241)\/482?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 508, 576, 690, 850, 1056, 1308, 1606?\nAnswer: 1950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/7 (b) -12 (c) -6 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 295 = 5*b, 37 + 192 = 4*b - d. What are the prime factors of (-649)\/(-8) - (1 - b\/64)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 393, -3, -5, -32 in decreasing order.\nAnswer: 393, -3, -5, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, z: 5}. Give prob of picking 4 z.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -319 + 311.8. What is the smallest value in 0.3, a, -4\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -215 (base 7) to base 14\nAnswer: -7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 384282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 11 - 8. What is the third derivative of u**y - 78*u**2 + 26 - 26 + 12*u**3 wrt u?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 63 + -52. What is the closest to -2 in 5, a, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ten sevenths of a week in minutes?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.4589413 + -3060?\nAnswer: -3065.4589413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 12*c**2 - 3. Let g(p) = -p**2 - 1. Give d(b) - 3*g(b).\nAnswer: 15*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-22 - (18 + -64)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of -z**4\/8 - 19*z**3\/6 + z**2 + 1. Let i be f(-21). What is the highest common factor of i and 286?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 2, 25, 74, 155, 274, 437?\nAnswer: 650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -6. Let s(a) = 4*a**2 - 11*a**2 - 14*a + 63 + 52 - 111 - 9*a**2. Let j(g) = 3*g**2 + 3*g - 1. Let q(v) = h*s(v) - 11*j(v). Calculate q(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4804)\/10 + (-4)\/(-10). Let y = 289 - 194. What is the remainder when y is divided by 3\/(5\/(j\/(-9)))?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-666)\/(-10) - (-16)\/40. Let n = -62 + f. Suppose -d - 4839 = -5*a, 3*d + n + 7 = 0. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 11*d - 75. Let g(t) = t**2. Determine g(i(f)).\nAnswer: 121*f**2 - 1650*f + 5625","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 341.0803 centimeters in nanometers?\nAnswer: 3410803000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 169, 351, 529, 703, 873?\n\"Answer: -2*t**2 + 188*t - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 y when four letters picked without replacement from {j: 3, y: 7}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 278 = 4*d - 0*d, 0 = -4*d - 4*v + 284. Let p = d - -24. Is 16 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -172 - -177. Suppose -4*w = -12 - 8. Suppose p = -m - w*c, -4*m + 2*c + 3 = -c. Is m <= -4\/43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - q - 8 = 3*q, -4*q + 24 = 4*h. Suppose -h = -4*u + 4*o, -6*u - 5*o = -2*u + 5. Suppose -z + 3 - 1 = u. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79368551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 6:30 AM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6*(24\/9 + -1). Let i(b) = -b**3 - 10*b**2 + b - 10. Give i(o).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3296 (base 13) to base 10.\nAnswer: -7052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 0*z + 2*z + 2*z + 4. Suppose -3*c + c + 12 = 0. Let p be (-27)\/c + 2\/4. Let n(g) = 5*g + 5. What is p*k(a) + 3*n(a)?\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113a86 (base 14) to base 12.\nAnswer: 243532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, 27, -1\/3, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -933.225 rounded to 0 decimal places?\nAnswer: -933","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54822*i - 54821*i + 32 = b, -205 = -5*b - 4*i for b.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -2*s**4\/5 - 514*s**3\/5 + 6*s**2\/5 + 1538*s\/5 - 1028\/5 = 0.\nAnswer: -257, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -45, -155, -331, -567, -857?\n\"Answer: q**3 - 39*q**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1362882 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 304*s - 306*s - 10 = 0, -3*m + s + 14 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 10 = -g. Find the first derivative of -2 - g - 6*a + 2 - 3 wrt a.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 4*q - 6, -5*g = 2*q - 21931. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 2*k. Let j(a) = 8*a**3 - 53*a. Give 3*j(s) + 21*m(s).\nAnswer: 3*s**3 - 117*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*m**5 - 4*m**4 - 11*m**3 - m + 9291.\nAnswer: -60*m**3 - 48*m**2 - 66*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2. Let k(a) = -2860*a**2. Give k(h(t)).\nAnswer: -2860*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -9*q - 6*q**2 - 1904*q**3 + 1905*q**3 + 41 + 21*q**2 + 25. What is the remainder when h(-14) is divided by 65?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-26)*(2*8 + (-136 - -118)).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/5*-1*1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79 divided by -1.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i - 1. Let h(v) = 3*v + 6. Let b(c) = -h(c) - 2*n(c). Let s be b(3). Let x(w) = -16*w + 3. Is x(s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156.718289 - 5?\nAnswer: 151.718289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2712 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - 1 - (2 + -1 + 0)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-46)\/(-4))\/((-9)\/2). Let s = -134\/63 - k. What is the third smallest value in 0.2, s, 2\/13?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, w: 3, g: 1, l: 6, v: 1}. Give prob of picking 1 d and 1 v.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 2*h - 12. Let l(q) = -3*q**3 - 3*q**2 + 8*q - 1. Is l(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 1 = -i - 2, -4*i + 13 = r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7*-2*8\/(-16). Suppose m*f = -382 + 11316. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32643749 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 - 3 - -3 - (-6021)\/33. Let s = 10931\/66 - u. What is the common denominator of 85\/6 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 17. Let a = -8378 - -8381. Solve a*d = 2*u - g, -u - 2 = -d - 2*u for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 77534 = -46*i + 43*i, o = -4*i + 15483. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 9268.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 + 5 + 364*w - 5 - 358*w. Suppose -5*g = -2*g + 3. Let c(l) = -l**2 - l. What is g*t(a) - 2*c(a)?\nAnswer: a**2 - 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 207?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/19 (b) 70796 (c) -2\/1125\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -207.3927 rounded to zero dps?\nAnswer: -207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -35192?\nAnswer: -35192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 1217279.323 to the nearest 100.\nAnswer: 1217300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -10945404 divided by 1824234?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - -2)\/((-5)\/(-30)). Solve 4 + p = 5*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/3)*x)**(18\/5)\/(x**(-3))**(-46) assuming x is positive.\nAnswer: x**(-666\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6370139 and 0.191562.\nAnswer: 6370139.191562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 15 = -0*n, 125 = -5*j + 2*n. Let v = j + 46. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**2 + 4*t**2 + 0*t**2 + (-4 + 3 + 3)*(10 - 181 - 74)*(0*t + 0*t + 3*t**2) to a + u*t + d*t**2 and give d.\nAnswer: -1467","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16632)\/231*(-2)\/8)\/(6\/(-9)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (74 - 116) + -71 - -68.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 5 - 267331*g**3 + 6.\nAnswer: -267331*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hnnyyyynnynyyynnnnyn. What is prob of picking 1 h and 2 y?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 + 8 - -1 - 2. Suppose 3*y + 2*x + 14 = 0, -x = -y - 11 + j. Let s(n) = -n**2 - 3*n + 8. Give s(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 123 + 632. Let x = f - 34. What is the highest common divisor of x and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/2 and -121\/1291968516.\nAnswer: 1291968516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5624607 and -20.711.\nAnswer: -5624627.711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of t**6\/15 - t**4\/10 + 1318. Factor o(u).\nAnswer: 2*u**3*(u - 1)*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of x**3*z - 157459423*x**2*z**3 - 24601658*x*z**3 - 5*x wrt x.\nAnswer: 6*x*z - 314918846*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -35, 5, 10, 3, -2 in descending order.\nAnswer: 10, 5, 3, -1, -2, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*(-1)\/7)\/(-65*1350\/4095).\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -4*t**2 + 6*t + 7. Let o be (6\/4)\/((-3)\/(-12)). Let q = -43 + 54. Let d(z) = 7*z**2 - 11*z - 13. Give o*d(a) + q*k(a).\nAnswer: -2*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 22 + 286. Let z = -132 - b. Calculate the highest common divisor of z and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hlmmlmmlaltblm. What is prob of picking 1 a and 1 b?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 28\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231463.\nAnswer: 231463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = q. Suppose q*j + 129 = 2*f - 5*j, 2*j - 94 = -2*f. Is f a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 30, 46, 70, 102, 142?\n\"Answer: 4*q**2 + 4*q + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 290*d = 1254904 + 9171466. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 80 + -36. Suppose 0 = 4*s - 3*o - t - 0, -4*o = -4*s + 40. Calculate the remainder when -3 + 11\/((-44)\/(-224)) is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 193*f. Let r(z) = 15*z - 33. Let y(c) = -3*c + 6. Let o(i) = -2*r(i) - 11*y(i). What is m(o(x))?\nAnswer: 579*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -141 + 383. Is 11 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 480 at least 239?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 7*m - 2. Let p(i) be the first derivative of -8*i**3\/3 + 1392. Determine q(p(s)).\nAnswer: -56*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaaa when four letters picked without replacement from {a: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.5, 2\/5, 261, 2\/9 in decreasing order.\nAnswer: 261, 2, 0.5, 2\/5, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zd when two letters picked without replacement from zjkjjjkxkjxkjjdzx.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -4*u**2. Let q(j) be the second derivative of 0*j**3 + 0*j**2 + 2*j + 1\/4*j**4 + 0. Determine q(c(d)).\nAnswer: 48*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 157444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 33*v - 6*v - 54 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102 (base 8) to base 7.\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 15\/13 (c) -0.23 (d) 1\/4 (e) 1 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1500\/(-40))\/(-15)*(-16)\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1334212, 1334213, 1334214, 1334215, 1334216, 1334217?\nAnswer: 1334218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, i: 1, f: 4, l: 2}. Give prob of picking 2 f and 1 w.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 + -32 - (-5 - -2) - 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -181\/870 and 77\/2175?\nAnswer: 4350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 2*u + 0 + 6292*u**2 - 2*u - 4 + 3*u - 6300*u**2. Determine q(8).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -20, -19, -20, -23?\n\"Answer: -h**2 + 4*h - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*r**5\/4 + 15*r**4\/2 + 65*r**3\/4 - 265*r**2\/2 + 60*r + 200 = 0. Calculate r.\nAnswer: -4, -1, 2, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10.5 - 10.7. Let r be (-2)\/(-5) + (-48)\/150. Let u = r - -71\/50. Which is the closest to m? (a) u (b) 0.04 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6402105?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 7*t - 4. Let i be h(-8). Solve 0 = 4*n - 2*o + 22, 0*o + i = 4*o for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -1 + 5. Let c = i - -5. Suppose -x + 34 = -2*h + c*h, -4*x + 3*h = -67. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 154, 0, -4, 259, -3, -7 in descending order.\nAnswer: 259, 154, 0, -3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 65329560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 35826391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*c + 3*c - c)*(-62*c + 30*c + 39*c) + (3*c - 2*c + c)*(5*c + 2 - 2))*(0*c**2 + 0*c**2 - 2*c**2).\nAnswer: -48*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12043685\/103 - -116929. Let j = -0.1 - -0.3. Which is the nearest to l? (a) 1\/11 (b) -3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -30*r**2 + 10*r - 3. Let f(b) = 149*b**2 - 50*b + 16. What is 2*f(m) + 11*t(m)?\nAnswer: -32*m**2 + 10*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j\/(j\/j**(-15))*j**(-4\/9)*(j*j**0)\/(j**8*j) assuming j is positive.\nAnswer: j**(-202\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2616115 divided by 11\nAnswer: 2616115\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/17, -0.4, -3\/28, 0.3, 2\/151?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 30 (c) 3 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-5) - 3264\/(-80). Let u = q + -19. Calculate the remainder when u is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2 - 82*t + 2944.\nAnswer: -2*(t - 23)*(t + 64)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 1168742?\nAnswer: 233748.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -0.3 (b) 4 (c) 4\/3 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - 6*x**2 - x - 6. Let g be s(-6). Suppose 3*h + h - 16 = g. Solve 0 = -2*p - 2 - h for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1162, 3.5, -38\/7?\nAnswer: 3.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s**2 + 2*s - 2. Suppose k + 2*a + 0 = 6, 0 = -5*k + 2*a - 18. Let z be ((3 - k) + -3)*-1. Let g(j) = -7*j**2 - 5*j + 5. Give z*g(d) - 5*n(d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x + 332 = -1241. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1037481 is divided by 1508?\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - ((-15 - -1) + (-17 - 1 - (-80 + -13)))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4978178 + 7*c - 9956361 + 4978183.\nAnswer: 7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3873060.\nAnswer: 2, 3, 5, 21517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 121639 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 291455 and 3905?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9416.867 - 9980.56. Let x = 0.693 + f. Is 1 greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -956 + 983. Solve 9*d = 54 - c for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-2))\/(9 - 5710\/300 - (9 - 19)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -j + 4*m + 12, 3*m - 12 = 0. Let q(i) = -i - 7. Let d be q(-7). What is the units digit of d + 19 - 16\/j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 - -7. Let c = -3 - o. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*f + 16*f = -58. Suppose -f*q + 12 = -28*q. Which is the nearest to 1? (a) -0.1 (b) 1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 9*z - 49. Let n be y(5). Sort 9, -3, n, 7 in increasing order.\nAnswer: n, -3, 7, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 3*q = 18, -2*q + 4*q = -4*i - 2 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1722, -6814, -15270, -27084, -42250?\nAnswer: -60762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(3200) - sqrt(3200))*-6)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 144*v - 4*z - 699 - 749, 8 = -4*z - 0 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, r: 3}. Give prob of sequence aa.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, 0, -126, 4, 1, 6 in decreasing order.\nAnswer: 6, 4, 1, 0, -45, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bmm when three letters picked without replacement from {j: 1, q: 1, a: 1, b: 2, m: 2, e: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 - 19 - (0 + 7) - -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -2*v + 168. What is the highest common factor of 6 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/45*((-162)\/12 + 14)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.018 (b) 3\/7 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i**(-3\/7))*i)\/i*i**(5\/4))\/((i\/i**(1\/26))\/i**(2\/13)) assuming i is positive.\nAnswer: i**(317\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-15)*((-18189)\/2838)\/(-47)\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z**3 - 2*z**2 - 1. Let m be i(-2). Suppose -m*o + 2*o + 210 = 0. Let h = o + 130. List the prime factors of h.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((62 + -4)*(-1409)\/2)\/(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence olvv when four letters picked without replacement from {l: 6, o: 5, v: 4}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*111.1.\nAnswer: -444.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 4*n + 3. Let m(t) = 9*t + 7. Let o = 12 - 26. Let h(w) = o*p(w) + 6*m(w). Let s(j) = 17*j**2. Give s(h(g)).\nAnswer: 68*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1015 and 3155635.\nAnswer: 1015","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + x - 3*h = -49, 4*x = 2*h + 48. Suppose -x = 4*s - 35. Suppose 0 = -s*u + 3*u. Solve k = -u*k - 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-1\/2))**23*(w**(-1\/4))**(-15)*((w**(-7)\/w)\/w**(-3\/2))**39 assuming w is positive.\nAnswer: w**(-861\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k + 122. Determine u(-10).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83244 is divided by 27737.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*i**3 - 2*i**2 + 12*i**4 + 6*i - 5*i**4 + 8*i**4 + 23*i**2 + 3*i**5.\nAnswer: 3*i*(i + 1)**3*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 10*q + 32. Let a(w) = 4*w**3 - 2*w**2 - 5*w + 1. Let k(y) = -y**3 + y**2 + y. Determine q*k(j) - a(j).\nAnswer: j**3 - 3*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 4*x**2 - 4*x - 31. Let w be y(7). What are the prime factors of (-15 - -1)\/(w\/(-2596))?\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of 0*p + 45 + 1\/12*p**4 + p**2 - 3\/2*p**3. Let h(x) = -2*x + 8. What is 5*b(s) + 6*h(s)?\nAnswer: -2*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(60)\/sqrt(3).\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1510960871?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002726146029 to 6 decimal places.\nAnswer: 0.000273","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12168 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 729021 a multiple of 154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -4*h. Let v be t(-1). Let c(b) be the first derivative of b**4\/4 - 2*b**3 + 7*b**2\/2 - 4*b - 21. Calculate c(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 19907 - 19924 = -j, 2*j = 2*i + 14 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/9)\/(10\/210)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 14996200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47, 82, 119, 158?\nAnswer: 199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9853160 by -1970632.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.1 (b) -5 (c) 0.0442 (d) -4.354\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -14818047*13\nAnswer: -192634611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 5 - n**2 + 3*n - 5. Let u(x) = -2*x**2 + 8*x. Let z(s) = 8*f(s) - 3*u(s). Let i(v) be the first derivative of 2*v**2 + 2. What is z(i(b))?\nAnswer: -32*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(176) - sqrt(176)*1*-2) + sqrt(176))\/sqrt(8))\/(sqrt(121)\/(sqrt(44)\/sqrt(4))*-1).\nAnswer: -4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 9:39 PM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/((-208)\/(-40))*(-258)\/171 + (-20)\/190.\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 + 5. Let h = 38 + -40. Let q be b(h). Let u be 1*((-2)\/8 - 2\/56). What is the third smallest value in q, 0.05, u, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6612 + -202430?\nAnswer: -162515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**3 + 2*m**3 + m**3 + (-1 + 0 + 0)*(-m**3 + 3*m - 3*m))*(-56*m + 287*m - 66*m).\nAnswer: 495*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162 is divided by 86?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 4*o**2. Let h(x) be the third derivative of -x**5\/20 + 47*x**2 - 1. What is h(n(v))?\nAnswer: -48*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16241, -32487, -48733, -64979, -81225?\nAnswer: -97471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/4)\/(-2)*(-4)\/(-16).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/136*38*(-17)\/((-170)\/(-40))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66 and 1?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23381 - 23390.8884. Round f to zero decimal places.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -4*h - 12, 13 = 4*x + h + 27 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 9:34 PM?\nAnswer: 8:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -8 + 15 - 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -15 (b) -12\/259 (c) 0.1 (d) -17\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(20)\/sqrt(100) + ((sqrt(5)*4 + 1)**2 - sqrt(5)) + 3.\nAnswer: 36*sqrt(5)\/5 + 82","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -422032317 - 277?\nAnswer: -422032594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 200900 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89 + 0*p + 3*p - 119 - 100 + 375 - 139.\nAnswer: 3*p - 72","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 96\/2 + 2 + 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 498 and 873492?\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -137 + 141. Put n, 3, 3.3, -1\/5 in ascending order.\nAnswer: -1\/5, 3, 3.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yalyyvlrwyyvvly. What is prob of sequence vaay?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16092 is divided by 1785?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 92 + 58. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 22428114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 69435333?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 * -2860622.\nAnswer: -28606220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -189 + 4*k**2 - 25*k - 5*k**2 + 138. What is the remainder when 123 is divided by f(-21)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5 - 6\/3)*-1. Let i be z\/(-12) + (-71)\/(-4). What is the highest common factor of 72 and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 9. Suppose -13 = -m*q + 71. Let b = -36 + q. Let j(n) = n**3 + 9*n**2 + 8*n - 1. Determine j(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/26 and -47\/156.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - 41?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -315330, -315266, -315160, -315012?\nAnswer: -314822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2\/5 (b) 0 (c) 4 (d) -1\/184 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2105171 and 305?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-105)\/(-33) + (-18)\/99. Let p be j\/18 + (-1)\/6. Solve 4*k + 26 - 6 = p for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4*(sqrt(288)*2*-2 + -2*sqrt(288) + -3))**2.\nAnswer: -996192 - 41472*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -33*w**2 - 156*w**3 - 902*w**4 - 4*w**5 - 79*w**2 + 854*w**4 = 0?\nAnswer: -7, -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*11 + (32 - (13 + 30))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1009 from -5247551.\nAnswer: -5246542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (36 + -6)*(-4 - -10) is divided by 37?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 5*a**2 - 180*a - 1272. Give j(43).\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + -4)*(1323\/98 + -25).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/11969064165 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 67, 88, -4, 1, 28 in descending order.\nAnswer: 88, 67, 28, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6, -89, 2\/5, 5\/3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 10000101101000110 (base 2) to base 6\nAnswer: 1244434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10259837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3065 - -3071. Suppose -126 = -5*p + 224. Calculate the smallest common multiple of p and k.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 44 = 5*z + 4*g, -3*z - 7 = -5*g. Solve 9*i = -z*i - 60 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.31224 rounded to zero dps?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5213243 minus -157359?\nAnswer: 5370602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1102443 - 20021?\nAnswer: 1032422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 d when four letters picked without replacement from {q: 4, d: 6}?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 8. Suppose d*m = 10 + 5. Suppose -2*c = b + 1, -b + 2*c - m = -6. Calculate the greatest common factor of 11 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -7*p**3 + 8*p**2 - 4*p + 45. Let y(i) = -16*i**3 + 18*i**2 - 7*i + 89. What is 9*r(z) - 4*y(z)?\nAnswer: z**3 - 8*z + 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llxlqqxllxllxlqlll. What is prob of picking 2 l?\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001599 to 6 decimal places.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 321 a factor of 121037865?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*f**2 + 6*f**3 - 10*f**2 + (4*f - 3*f + f)*(-21*f**2 - 10*f**2 - 14*f**2).\nAnswer: -84*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2163?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 346 - 240. Suppose -4*r + c = 2*z, 5*z + 86 = -0*r + 3*r. Let n = 40 - 24. Calculate the remainder when r is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34\/511 + -16\/73. What is the second smallest value in u, 0.04, -4, -1\/2, 1\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -18.33895 + 2861169?\nAnswer: 2861150.66105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + (-14 - 18) + (6 - (-3 - -8)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.161 take away -222?\nAnswer: 222.161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*(x\/x**(-2\/11))\/x)\/x)\/(((x\/x**14*x*x)\/x)\/x*x*x))**25 assuming x is positive.\nAnswer: x**(3075\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*t - 0 - 16 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 70.63? (a) -0.36 (b) 4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1\/2)\/((i\/i**(-1))\/i) assuming i is positive.\nAnswer: i**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46461*-2.\nAnswer: 92922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m**3 + 6*m**2 + 5*m - 1. Let y be z(-1). Solve 0 = 5*q + y*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39260970 divided by 378?\nAnswer: -103865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*v - 48. Put -4, -1, v in decreasing order.\nAnswer: v, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 108275806 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3113, 3050, 2987, 2924, 2861?\n\"Answer: -63*o + 3176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -0.5 (b) 9 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a second in milliseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2\/367365 - 377651374\/28287105. Let h = i + 150\/11. Which is the second smallest value? (a) -0.4 (b) 0.03 (c) -4 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3541267 is divided by 85.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -133359, -266724, -400089, -533454?\nAnswer: -666819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, t: 1, k: 1, u: 1, l: 1}. Give prob of picking 1 k and 1 u.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -19481 (base 11) to base 6\nAnswer: -325521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmrmmrrm. Give prob of sequence mmr.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 103, 2, 10, -10, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -78*b**2 - 1. Let c be h(-1). Let a = c + 55. What are the prime factors of (-11)\/(-4) + (-6)\/a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -2 (b) -2\/17 (c) -4 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -891 - 7?\nAnswer: -898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -3*s**2 + 228*s + 4841991 = 0.\nAnswer: -1233, 1309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -3*j. Let t be b(-2). Let m = -6 + t. Solve 3*k + m + 6 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24486 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 88285 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*u = 1 + 577 for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8704?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 8*a + 4. Let r be o(-3). Let l = -26 - r. Let k(j) = -5*j + 1. Is k(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (2 + sqrt(5))*-4 + -4.\nAnswer: -9 - 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0+187.4\nAnswer: 187.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*o**3 + 2 + 20*o**3 + 2*o - 31*o**3 to the form g*o**2 + r + v*o + a*o**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2 - 3973*x - 1324.\nAnswer: -(x + 1324)*(3*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 54574 + 34025?\nAnswer: 110621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -995\nAnswer: 3\/995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-103 + 103 + 27*f**5)*(-2 + 1 + 3) + (2 - 2 + f**3)*(2*f**2 + f**2 - 4*f**2).\nAnswer: 53*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -186892, -747610, -1682140, -2990482?\n\"Answer: -186906*x**2 + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**3 - 1660*r**2 + 137780*r.\nAnswer: 5*r*(r - 166)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17207718 and 44.\nAnswer: 34415436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -63 + 65. Suppose h*n = -4*t + 10, -5*t + 5*n - n + 45 = 0. Solve -5*y - t*y + 2*y**2 - 11*y + 15*y = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -15 + (12 - (-18 - (-1 - 35))) - 6.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -96*l + 33. Let w(s) = 6*s - 2. Let x(n) = -2*g(n) - 33*w(n). Let q(i) = -5*i. Give 4*q(t) - 5*x(t).\nAnswer: 10*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6986, -13185, -19384?\n\"Answer: -6199*l - 787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -100*w - 225. Let v(q) = -67*q - 149. Let x(i) = -5*t(i) + 8*v(i). What are the prime factors of x(-10)?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2083 - 2056. Solve 5*u + 11 = 4*a, -2*a - q = -5*u - 30 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100010101 (base 2) in base 12?\nAnswer: 1b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -187454, -187285, -187116, -186947, -186778, -186609?\nAnswer: -186440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/18*18\/(-8)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 4*v = -8*v + 548, -3*g + 11*v = -302. Solve 64*x - 148 = g for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 z when four letters picked without replacement from hzbhbzhb?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0406523302 and 0.2.\nAnswer: 0.1593476698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 41781559 and 6?\nAnswer: 250689354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -728*-2*4\/16. Suppose 2*p - 4 = -4*d, p - 27 = 5*p + d. What is the lowest common multiple of r\/18 - (p\/18)\/(-2) and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*s + s + 343*s to the form l*s + i and give l.\nAnswer: 311","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -53. Let b = 40 + 39. Let i = b - w. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1355 divided by -3?\nAnswer: -1355\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 170*c = 166*c - 128, -c = -5*b + 20 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of n**5\/20 - 17*n**4\/12 - 19*n**3\/6 + 2*n**2 + 123*n + 1. What is q(18)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111 + 10110?\nAnswer: 110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -16*v. Let h(o) = 1. Let l(j) = -j + 2. Let q(s) = -4*s + 9. Let p(d) = 22*l(d) - 6*q(d). Let c(i) = 10*h(i) + p(i). What is c(r(u))?\nAnswer: -32*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of 5*p**2\/2 + 6*p + 1. Is b(11) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -1121?\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3635 and 4115.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 3 + ((2 + (sqrt(325) - (sqrt(325) + 2)))**2 - (2*sqrt(325)*-1 + sqrt(325)))*-1.\nAnswer: -5*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2315.\nAnswer: 5, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8c - -5?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64184.\nAnswer: 2, 71, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**3 - 602844*d**2 - 10850220*d - 48824532.\nAnswer: -4*(d + 9)**2*(d + 150693)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 35268 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide -4*(-9 + (-458)\/8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -201 + 201 - 177*o in the form z + j*o and give j.\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21616880 divided by -146060.\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -36*i**2 + 4602*i + 439. Give c(128).\nAnswer: -329","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 165 (base 13) to base 10\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -41 + 35. What is the second smallest value in n, 2, -5, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32066 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2101*i - 13*c - 96 = -2100*i, 4*i + 48 = -4*c for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3199 - -8824. What are the prime factors of h?\nAnswer: 11, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3521 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 23 = 2*j. Suppose -5*f + 0 - 17 = 3*w, 2*f = 2*w - j. Which is smaller: w or 45?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1686176 less than 7332.1?\nAnswer: -1678843.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 2, 16, 0 in decreasing order.\nAnswer: 16, 2, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 2*x - 22 = 0, 4*t + 3 - 43 = 4*x. Suppose 0 = -0*g - t*g + 60. Let p(i) = -i + 9. Let q be p(5). Calculate the greatest common factor of q and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 18, -1, -4 in descending order.\nAnswer: 18, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -743751*i**2 - 6*i - 8. Let h be a(-4). Round h to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 3 (c) -0.7 (d) -26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of -11*s**3\/6 - 5*s**2 - 24*s. Calculate the remainder when w(-4) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 5406?\nAnswer: 59466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -z + 8. Suppose 2*v - 8 = -z*t, 4*v = -0*v - 3*t + 14. Solve 2*y + v - 12 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 11 (b) -10 (c) -5 (d) -0.39 (e) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 695*w = 690*w - 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-6)*o\/(((o**(1\/2)*o)\/o)\/o*o*o))\/(o**(-8)\/(o*o*o**13)) assuming o is positive.\nAnswer: o**(59\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 213*x - 618 - 234 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6187 is divided by 1025?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + 2 - 2)*(-1 - 1 - 1)*(3*q - 3*q - 4*q + (3 - 4 + 3)*(5*q - q - 3*q)).\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -47?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 - 7. Let h = 6.9999998 - p. What is h rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 10*a**2 + 20*a - 28. Let g be h(10). Let f = 299 - 200. Let c = g - f. What are the prime factors of c?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -70.422 + 0.422. What is the third smallest value in 2\/3, i, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from qqrqqqrrqqr.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -163.52716025 to the nearest ten.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -379108533*a*n**2*x - 117839811*a*n**2 - 2*a*n*x**2 - 2*a*n wrt x?\nAnswer: -379108533*a*n**2 - 4*a*n*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 0) + -3 + -2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**2. Let t(j) = -5*j**2 + 15*j + 12. Let d(o) = 30*o**2 - 90*o - 70. Let k(u) = -6*d(u) - 35*t(u). Calculate q(k(h)).\nAnswer: -50*h**4 + 300*h**3 - 450*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-12))\/(((x**(-2)*x)\/x)\/x)*x**(2\/21)*x**(-4) assuming x is positive.\nAnswer: x**(-250\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 7*b**2 - 3*b + 6. Let x be y(5). Let v = x + 88. Suppose 0 = 5*c - u - v, -2*c - u + 7 = 1. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*r = -5*b + 3, 0 = b + 2*r + 5. Suppose -v - 4*n = -210, 5*v - 999 = -0*n - b*n. Let q = -49 + v. List the prime factors of q.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3806 and -3805 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*m**4 - 50*m**3 - 35*m**2 + 40*m = 0. Calculate m.\nAnswer: -8\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 AM and 7:03 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3*c + 16. Determine n(-10).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + n - 4 = 2*m, -m + n = -8. Suppose m*t = -5*g - 2, 0*t + 3*t = -5*g + 1. Solve 0*q = 2*q + 5*u - 16, 5*q - g*u + 18 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 7*h**3 + 5*h**2 + 3*h + 3. Let i(u) = u**3 + u**2. Determine -4*i(d) + j(d).\nAnswer: 3*d**3 + d**2 + 3*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 2*u - 27 - 3 = 0, 2*m - 3*u = -5 + 38 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 13*l + 2. Let c be b(4). Suppose -y + 4*y = c. Suppose -5*x + 0 = -10. Calculate the highest common divisor of y and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by 6 + (4\/3)\/((-6)\/(-9))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 6*(-5 - 45\/(-10))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4621*c - 4590*c = 186 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 6*z - 80 = -4*l, -3*l = -2*z + 30. Suppose 2*d + 2 = -3*i, d - 4*d = -3*i + z. Suppose -i = y - 5. Solve -3*s = n - 5, -s + 4*n = 4*s + y for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2.12316 and 14343.\nAnswer: 14340.87684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + 5\/((-10)\/(-12)). Differentiate -4 + m*w**2 + 6 + 3*w**2 with respect to w.\nAnswer: 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 4\/7, 1, 0.07183 in descending order.\nAnswer: 5, 1, 4\/7, 0.07183, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + (-1182)\/(-10))\/((-12)\/(-60)). Suppose -2*t = -5*y - z, 0*y = 2*t - y - 594. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -936*c + 8 = -934*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 201, 15, -1, -2?\nAnswer: 201","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4046, -8084, -12116, -16142, -20162, -24176?\n\"Answer: 3*w**2 - 4047*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 9*m**2 + 10*m - 3. Determine g(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7511 and 812.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/3)*g*g**(-10))\/((g\/g**(2\/43))\/g*g*g\/(g*g\/g**9)*g) assuming g is positive.\nAnswer: g**(-2531\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 131 + -281\/3. Let u = r + -38. What is the third biggest value in u, -3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nefn when four letters picked without replacement from nfnnnnnffifinnfnnffe?\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.2, -3\/5, -1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -157*w + 1271. Determine l(8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bs when two letters picked without replacement from bss?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a microgram in nanograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 9861?\nAnswer: 29583","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -5, 3, -7 in descending order.\nAnswer: 3, -5, -7, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*q - 14*q - 2*q - 14*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/((-2)\/(-1)))\/((-132)\/(-264)). Solve -t*d + d + 2*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(1\/5))\/m)**(12\/5) assuming m is positive.\nAnswer: m**(-12\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4636093*g + 4636093*g + 44*g**3.\nAnswer: 44*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bgfg when four letters picked without replacement from pigbgbffpggbgpbgfi.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 372, 410, 102, -558, -1576?\n\"Answer: -d**3 - 167*d**2 + 546*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 - -14*-5*3\/(-30). Suppose -a*u = -5*r + 7362, -u + 3*u - 1464 = -r. Is 49 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 690 is divided by 291.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/744404 and -97\/13112.\nAnswer: 16376888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1962705109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of 1\/3*c**2 - 1\/30*c**5 + 1\/9*c**3 + 0 + 3*c - 1\/18*c**4. Let k(f) = 0. What is f?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2256, -2253, -2248, -2241, -2232, -2221, -2208?\nAnswer: -2193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 189713 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from tdvv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-2 - (0 - (2 - 1)))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 70 = 4*o. Let v(l) = l**2 - 30*l + 87. Let s be v(27). Let r be 7\/o + 21\/s. Solve 4*c = r*c + 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 2*m + 17, 4*m + g = 2*g - 1. Let t = m + -1. Which is smaller: -1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 4*w + 4. Suppose 6*o + 36 = 4*b + 2*o, 0 = 5*b + 4*o - 36. Let p be a(b). What is the greatest common divisor of p and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 + -15.9. Is q less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m + 1516 - 744 - 772 - 10*m.\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 60*z**2 + 47572*z - 6344.\nAnswer: 4*(z + 793)*(15*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.871612959 rounded to 3 dps?\nAnswer: -0.872","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2 - 2 = 0. Suppose 0 = l - 10 - t. Is (l\/3)\/((-4)\/(-6)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*r = 66*r + 36. Suppose v - 12 = 4*v. Sort 5, 2, v, r in descending order.\nAnswer: 5, 2, r, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 65358?\nAnswer: 65356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u. Let j(f) = 268289*f. Give n(j(x)).\nAnswer: 536578*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jxjj when four letters picked without replacement from ccxjccjcjj?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 11*i**2 + 14*i - 8. Let a = 0 - -12. Suppose -2*b = -0*b - 12. Calculate the remainder when r(a) is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 22*y**2 - 2389*y - 226. Give u(-39).\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 856487.7km to meters.\nAnswer: 856487700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/17 - 45\/187. What is the third biggest value in 0.05, c, 2\/21?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97 - 46 + 26*m - 51.\nAnswer: 26*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 13*d - 6. What is the remainder when o(10) is divided by 39?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3 - -6) + -64)\/(-1). Let y = k - 36. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -6*b - 2. Let j(m) = 9*m + 3. Let y(h) = -5*i(h) - 4*j(h). What is y(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/90)\/(520\/416)?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxixxixxxxcxxxxx. Give prob of picking 1 x and 1 i.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 4*g + 8, -2*y - 3*g - 2 = -2*g. Suppose y = -0*q - q + 1. Calculate the remainder when q\/(12\/9 + -1) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/650 and -3\/10.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 PM and 2:05 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - 0. Let x be l + -10 + -1 + -1. Let c = x + 21. What is the remainder when c is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -34, -31, -30, -31?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -74*o**3*x**2 - 7*o**2*x**2 + 1266*x**2 wrt o.\nAnswer: -222*o**2*x**2 - 14*o*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -11*q - 6. Let o(v) = 2*v + 1. Let j(u) = 34*o(u) + 6*z(u). Let p(w) = 3*w - 3. Let c(f) = -4*j(f) + 3*p(f). Determine c(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-86)\/22 + (210\/(-1155) - (-1)\/11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-11 - 14) + 41.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 20*a**2 - 165*a**3 + 74*a**2 - 54*a**2 + 160*a**3.\nAnswer: -5*a**3 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: 2319 (base 12) to base 7\nAnswer: 14253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 37565401, 4 in decreasing order.\nAnswer: 37565401, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.86, -1\/9, 5, 28, 3\/4, -1831?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 599*w**2. Let t(b) = -6*b + 11. Give n(t(c)).\nAnswer: 21564*c**2 - 79068*c + 72479","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6216\/11 or 565?\nAnswer: 6216\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 - -18. Let n be 2\/(-5) - 27003\/(-30)*l. Round n to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4 + -1*(1 + sqrt(5)*-2) + -4).\nAnswer: -6*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-3*(0 + sqrt(343)))**2 + sqrt(343) + -2)*-6.\nAnswer: -92550 - 210*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 116 * -59428.\nAnswer: -6893648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 124\/9 + -1346\/99. Let d = 0.4 + -4.4. Let o = d + 4.1. Put o, -2\/11, v in descending order.\nAnswer: v, o, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/21 + (-6)\/(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-16)*-3 + (-255)\/(-360).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11390 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 569696, -16.\nAnswer: -16, 3, 569696","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*d**4 + 16172*d**3 - d**2 + 3471*d - 2?\nAnswer: 72*d + 97032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18.7306 - -18.7. Let k = z - -2.0306. Put 0.5, 0.1, k, -0.3 in ascending order.\nAnswer: -0.3, 0.1, 0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1212)\/162*(-21)\/294 - 4\/7?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 65 = -0*x - 2*w, 2*x + 5*w + 25 = 0. Let i = 30 + x. Does 5 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 117, 413, 995, 1959, 3401, 5417, 8103?\nAnswer: 11555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 89*x**2 - 1863*x - 89. What is i(21)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2 + 8992*g - 17968.\nAnswer: -4*(g - 2246)*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24.03 - 24.1439. Let c = 750.9 - 751. Let a = i - c. What is a rounded to 3 dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 7:57 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p = 4*o + 137, -2*o + 17949 - 18022 = -5*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 3444 = g, 2*g - 3802 = 3*c + 3058. Suppose -24*v = -248 - g. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -1.2.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 19319 minus -411.25?\nAnswer: 19730.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 48 = -4*h, -5*s = 3*h + 2*h - 100. Let c be 3*(s\/6 + -2). Let x = c + 3. Solve 5*v + 0*v = -x*o - 40, 4*v = o - 12 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 512612.9 millennia in centuries?\nAnswer: 5126129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -26*c + 30 - 11*c + 17*c wrt c.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 32 = s, -m + 4*s + 1 + 1 = 0. What is the remainder when 28 is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 98 and 303850.\nAnswer: 14888650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24*q**3*v**2 + 2*q**3*v - q*v**2 + 4267*q*v + 992*q - 419694*v**2 - v wrt v?\nAnswer: -48*q**3 - 2*q - 839388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.791 + -0.14?\nAnswer: 0.651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 9*c - 5618*c**2 - 5451*c**2 + 15952*c**2 - 5538*c**2 in the form w*c + q + k*c**2 and give k.\nAnswer: -655","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 4*m, -3*m + 2*q = -4*m. Suppose m + 2 = 2*r + 2*j, 2*j = -4*r + 8. Calculate the lowest common multiple of r and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 0*y + 4*y)*(4*y - 10*y + 3*y) + (2*y - y - 2*y)*(-5*y - y + 4*y).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) 11.3 (c) -0.093 (d) -1\/2 (e) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + -13?\nAnswer: -c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.243545 and 31.\nAnswer: 31.243545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*l**2 - 19*l**2 - 13*l**3.\nAnswer: -13*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -503763*i**3*r**2 - 6*i**2*r + 9*i**2 + 2*i*r + 65*i - 304*r**2 + 1036*r wrt i.\nAnswer: -3022578*i*r**2 - 12*r + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 31 = -6, 4*n - 4*u - 32 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-2\/7))**(-15)*g**(-3\/7)\/g*g*g**(-3)*(g**(2\/7)*g*g**(4\/5))**(23\/5) assuming g is positive.\nAnswer: g**(-796\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 149290530 + -149290614.000113. Let v = 84 + n. Round v to five dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/2 + 51\/85. Let s = 0.271 + 17.029. Let z = s + -15.3. Do z and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 12911 + 213?\nAnswer: 12b24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 6) in base 14?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 28 (b) 3 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.11 and 9479?\nAnswer: 9479.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - ((-17 - (20 - 36)) + 4).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*l = -98*l + f, -4*l + 2*f = -20 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.94 - -0.06. Let l(y) = y**2 - 6*y. Let v be l(6). Let q = -0.65 + 0.75. What is the third smallest value in c, v, q?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -g - 0*r - 2, 26 = -g + 5*r. Let s(i) = -4*i - 8. Determine s(g).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 83 - 60*g**2 - 3*g + 18*g**2 + 21*g**2 + 20*g**2. Suppose 0 = -l + 9*l. Is 22 a factor of j(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/529 and -97\/20860?\nAnswer: 11034940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jra when three letters picked without replacement from {r: 1, j: 2, a: 1, l: 2, b: 4}.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 6 - 5 - n**3 - 17*n + 9*n**2 + 3*n + 7. List the prime factors of y(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and -527013511?\nAnswer: 527013511.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1000 (base 2) to base 7\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3*b**2 + 5*b**2 + 2*b + 0*b**2 - b. Let m(n) = 32 - n - 32. Calculate m(q) + r(q).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61, -65, -77, -103, -149, -221, -325, -467?\nAnswer: -653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51339*n**2 + n**3 - 17132*n**2 - 17158*n**2 - 4*n**3 - 17049*n**2.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -4*w**3 + 897*w**2 - 1108*w - 1516. Determine g(223).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 79555394 and 8284.\nAnswer: 4142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185433950.\nAnswer: 2, 5, 13, 285283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3, -1, 1, 3, 5, 7?\n\"Answer: 2*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2848 + 212 + 869 + 3*p + 869 + 898 - p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2)*-2*6 - (sqrt(2) + -1)*3) + (sqrt(44)\/sqrt(99))\/sqrt(2) + (0 + (sqrt(98) - sqrt(98)*3) + sqrt(98) - 1*sqrt(98)*2))**2.\nAnswer: -214*sqrt(2) + 22979\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 - 49 = 6*t. Let v = t + 26. Solve -v*r = -5*u - 45, -2*r = -0*r + 2*u + 2 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03281147 minus 3.212?\nAnswer: -3.17918853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 626, 2384, 5318, 9428, 14714, 21176?\n\"Answer: 588*l**2 - 6*l + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 2680759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*x**2*y**3 + x**2 - 6*x*y - 2*y**3 + 1943*y**2 wrt x?\nAnswer: -4*x*y**3 + 2*x - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1666723 to the power of 1\/2, to the nearest integer?\nAnswer: 1291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 4. Suppose -5*b - d = -13 + 4, -3*b = z*d - 3. Suppose 0 = -b*p - 3*p - 275000. What is p rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2002220 (base 3) in base 9?\nAnswer: -2086","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 554 a factor of 57272597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 175 divide 19900125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -4*s. Let p(m) = 15*m. Give p(h(b)).\nAnswer: -60*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - 3 - (-24 + 15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30957, 19102, 7247, -4608, -16463?\nAnswer: -28318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 2*q - 2. Let l = q - -6. Suppose x - l*x + 6 = 0. Solve -x = m - 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 a when two letters picked without replacement from {y: 1, p: 2, e: 1, a: 1, f: 1, b: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 75 and 615675.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2550*q + 485 wrt q.\nAnswer: 2550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 23 + -18 - (-2 - 46\/(-2)*-1). What is the highest common factor of k and 2430?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -8.53?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 + 3*w + 3. Let t be v(-3). Suppose t*j = -2*j. Is j >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a centimeter in millimeters?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4020?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 90366 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/22 in 1, 4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3 - p + 0*p - 4*p - 4*p. List the prime factors of z(-4).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + w + 4. Suppose -6*u + u = 0. Let f be j(u). Suppose -f*r = -3*p + 18, -r - 7 = 3*p - 5*p. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, 2, 5, 0 in decreasing order.\nAnswer: 5, 2, 0, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-1))**2\/(q**(1\/3)\/(q**(-1\/4)*q)))**11 assuming q is positive.\nAnswer: q**(55\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12876460 and 90.\nAnswer: 115888140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 2 - 12*f + 4 - 3.\nAnswer: -12*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2255320 - 13202?\nAnswer: -2312522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 + 12. Let s = -321.237746 - -312.23774612. Let n = s - p. What is n rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 r when three letters picked without replacement from ryv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 AM and 5:46 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*x, 1 - 24 = 5*m - 4*x for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -14. Suppose -5*p + 4*p - 66 = -5*y, 2*y - 31 = 5*p. What is the remainder when y is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8938188*r**3 + 9709254*r.\nAnswer: 53629128*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -1\/2 (c) -38 (d) -43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - 2196*y - 26 + 61 - 28 - y + y + 2*y + (4*y - 2*y - 4*y)*(1 + 0 + 1) + 0*y + y - 3*y as c*y + o and give c.\nAnswer: -2200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**2 - 2*x**2 - 2*x**2. Let q(v) be the third derivative of 0*v**4 + 1\/30*v**5 + 0*v**3 + 0*v + 0 + 2*v**2. Determine y(q(r)).\nAnswer: -8*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 368 + 4934 = 5*w - 14*p, 4*w + 2*p = 4268. What is the highest common factor of w and 246?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 280*v**3 + 48*v**3 - 125*v**3 + (v + 3*v - 3*v)*(v - v - 2*v**2) + v**3 + v**3 - v**3.\nAnswer: 202*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5058 - 4415. Solve 619 - r = 8*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -5, 218, -6\/11?\nAnswer: 218","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ewp when three letters picked without replacement from eedelldwxlpxelplllxe?\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**4 - 19311*z**3 - 10 + 20048*z**3 - 4*z + 10 + 2*z**4 as p*z**2 + y*z**3 + w*z + t*z**4 + c and give y.\nAnswer: 737","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 + 24?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37 + 40. Put -6, g, -4, -3 in ascending order.\nAnswer: -6, -4, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 - (-69 + 143 - 71).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*h - 7*h + 29*h - 5 + 5 + h + (h - 3*h + 3*h)*(5 - 2 - 2) + 0 + 0 + 3*h + 0*h - 3*h + 5*h.\nAnswer: 17*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4698, -4730, -4758, -4782, -4802, -4818?\n\"Answer: 2*k**2 - 38*k - 4662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + u**2 - u - 12. What is q(0)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*o**4 - 40*o**3 - 241*o.\nAnswer: -24*o**2 - 240*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -894 - -1219. Which is the biggest value? (a) 0.2 (b) l (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35287416 and 216.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 367290503.\nAnswer: 563, 652381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbj when three letters picked without replacement from {b: 2, j: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 24839 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139 = 5*w - 4*b - 201, 0 = -2*w - 2*b + 50. Solve 0 = -3*l - 2*g + 5, -w*l + 5*g = -14*l + 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, s: 1, z: 1, t: 1, i: 1}. What is prob of picking 1 t and 1 s?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -251*k - 709 = -7*k - 221 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 11:12 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.59 + 0.21. Round f to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fpa when three letters picked without replacement from aulpfpx.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5569 + 2 - (8 + -16). Let h be 6\/(-20) - (v\/770 + -7). What is the biggest value in 2\/3, h, -3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.060382 millilitres to litres.\nAnswer: 0.008060382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -271*g + 538*g - 271*g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -265, -529, -793?\nAnswer: -1057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i**2 + 2*i**2 + 2*i**2)*(-2 + 8 + 5)*(-6 + 32 + 11)*(-6 + 4 + 1) as o*i + m*i**2 + b and give m.\nAnswer: -814","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -21? (a) 0.2 (b) -5 (c) 3\/35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00015961907 to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*m - 750 = -52*m. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1880758 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1038 - 1042. Which is the closest to 2\/11? (a) 13 (b) -2\/11 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3117 - -3116. What is the nearest to 2\/15 in -4\/7, y, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 4. Let u = 5 + n. Suppose 7 + u = v. Is v != 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3*i = -75, -2*t = 3*t - i - 102. Let o(q) = 3*q - 30. What is the lowest common multiple of o(12) and t?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nbbnwwybnnnnnbbn. What is prob of picking 1 w and 3 b?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25612\/21655 or -1?\nAnswer: -25612\/21655","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057) - sqrt(2057)*-5 - sqrt(17)) + 3*sqrt(1088).\nAnswer: 89*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + -8. Find the first derivative of -171*b**3 + 178*b**3 - 1 + g wrt b.\nAnswer: 21*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -57 - 50 - 4740*x - 50 + 157 as v*x + m and give v.\nAnswer: -4740","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14614?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 6890275*g. Let s(x) = x. Give h(s(z)).\nAnswer: 6890275*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, r: 1, u: 3}. What is prob of sequence jjjj?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.7 - 2.3. Let t(l) = 2*l**2 - 11*l + 1. Let f be t(5). What is the third smallest value in m, -1, f, -3\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 19*i**2 + i - 1. Let x(g) = -5*g**2 - g. Let j(z) = n(z) + 4*x(z). What is j(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 216\/48*12\/1. Determine r so that -36*r**5 - a*r**5 + 55*r**5 + 95*r**4 + 10*r + 5*r**2 - 75*r**3 = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -4*p - 30, 5*o = -0*p + 5*p - 15. Suppose -146*f + 149*f = 9. Let k(d) = -2*d - 6*d**3 - 10*d**3 + 24*d**3 - 9 - 6*d**2 - 9*d**f. Calculate k(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y + y - 4*y)*(-1 - 4 + 3) + (0 + 13 - 64)*(0*y + 3*y + 0*y).\nAnswer: -155*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2129967*b + 13 - 2129967*b + 11*b**2.\nAnswer: 11*b**2 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 d when two letters picked without replacement from izwidvi.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4538 divided by 2?\nAnswer: 2269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -z**5 - 1184723*z**3 - 68*z**2 + 13087.\nAnswer: -60*z**2 - 7108338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/27 of a day?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -3*v + 12 + 2, 5*v - 4*j - 12 = 0. Let g be (-2)\/6 + (-271)\/(-3). Suppose v*a - g = 178. Is a a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16\/6*(-18)\/(-4). Let y be l\/2*(-2)\/2. Is -4 <= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n - 203 + 80 - 557 = 0. What is the greatest common factor of n and 2754?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (235\/(-141))\/(6\/9)*20?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.68 + 2.68. What is the third biggest value in -9, t, -2?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-77)\/(-44))\/((-6)\/((-120)\/(-5)))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, s: 1, l: 1, f: 1, t: 1}. What is prob of picking 1 t and 1 f?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -565 or 581?\nAnswer: -565","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3668 + 50361. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12147*y**2 - 12147*y**2 + 724*y**3 - 32*y + 32*y.\nAnswer: 724*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2*i = 6*l - 24, -2*l + 12 = 4*i. Suppose -18 = -l*p + p + 2*z, 4*z = p. Suppose -p*g + 18 = -26. What is the greatest common factor of 99 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 7*n + 5. Let j be g(0). Find the third derivative of -35*d**5 + 13*d**j + 19*d**2 + 10*d**2 wrt d.\nAnswer: -1320*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(91)\/(sqrt(7)*3*6).\nAnswer: sqrt(13)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**2 - 3*x**2 + 2*x**2 + (5 + 3 - 6)*(x**2 + 0 + 0) + 4*x**2 - 4*x**2 - 3*x**2 + x**2 + 3*x**2 - 3*x**2.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3516756.\nAnswer: 2, 3, 17, 17239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -3*x**3 + 387*x**2 - 13041*x + 131721 = 0?\nAnswer: 23, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151557186.\nAnswer: 2, 3, 11, 19, 6361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**2 - 15 + 29 - 5 - 9. Let w(b) = b - 163. What is w(r(s))?\nAnswer: 2*s**2 - 163","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*d - 160497 = 2545. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 2 (c) -1 (d) 5\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + 1 + i**2 - 7 + (-2*i - 1 + 1)*(-1 - i + 1).\nAnswer: 3*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-7) + 4\/14. Which is the fourth smallest value? (a) -3 (b) x (c) 2\/3 (d) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9975 is divided by 311.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7587, -15155, -22699, -30207, -37667, -45067, -52395?\nAnswer: -59639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from zhszzzzhbhzzzszbzsz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -85939 - 76*m**4 + 73*m**3 + 85940 + m - 1752*m**2 - 36*m**3 wrt m.\nAnswer: -1824*m + 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-47 - 30 - 73 + 106)*(-3*d + 3*d + d**4) as m*d**3 + o*d**2 + y + s*d**4 + t*d and give s.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5815059.\nAnswer: 3, 227, 8539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -10. Suppose 0 = m*z + 2 - 10. Let u(h) = -h + h + h**z. Let l(w) = -2*w**2. What is l(u(o))?\nAnswer: -2*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.18432 + -0.08432. Which is the nearest to q? (a) -0.3 (b) 39 (c) -3 (d) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 551430*l = 551410*l + 1140 for l.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of c + 3\/2*c**2 + 1\/6*c**3 + 0. What is the derivative of s(w) wrt w?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-24) + (-578)\/(-204))\/(((-4)\/90)\/1)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.138177ns to microseconds.\nAnswer: 0.009138177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8884 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - (-20)\/8)*2. Suppose 0 = 3*p - w + 4, 5*p - w = 4*w - 20. Suppose 6 = q + h*b, 4*q - 24 = b - p. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -420?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -a + 5*q - 4*q, 3*a + 5*q = 4. Let d = a + 1. What are the prime factors of (-171)\/(-15) + d\/(-10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a day in minutes?\nAnswer: 2340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -7, -3, 2, 4, -1533 in ascending order.\nAnswer: -1533, -7, -3, 2, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - z - 2)*(228 + 21 + 66 + 120).\nAnswer: -435*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 116245 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72\/3*((-2)\/8)\/(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b = -15*b - 10. Let m be (-1 - 0 - 1)\/(b\/(-19)). Is m smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from {y: 3, t: 9}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 388643*b**3 - 777287*b**3 + 388647*b**3.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42337\/11 + -3846. Let l = -48649\/9180 - 1\/1836. What is the common denominator of l and y?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2903\/26 - -223\/2. Which is the closest to 7? (a) -1\/6 (b) d (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5*x = 0. Let d be (x*(-1 - -2 - 0))\/2. Suppose -3*w + 4*h - 9 = -d*w, -2*h = -4*w - 2. Solve -5*l - 21 = -w for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - (2 - 1))*-11. Let c(s) = -7*s - 2. Let f(i) = 13*i + 4. Determine n*c(u) - 6*f(u).\nAnswer: -u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1488\/126 - (-7)\/(-49))*(-6)\/5.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*j = -141*j - 77 - 203 for j.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/5)*a*a**(2\/7)*a*(a**(6\/11)\/a)\/(a*a**(-5)\/a*a*a))**(3\/26) assuming a is positive.\nAnswer: a**(2559\/5005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/30 - 2 - -2. Let f = 0.05 + -5.05. Let i = 27 - 29. What is the smallest value in s, f, i?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8620029 and 396.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**5 - m**3 + 41*m - 13*m**4 - 41*m + (0*m + 3*m + m)*(0*m**3 + 0*m**3 - m**4).\nAnswer: -6*m**5 - 13*m**4 - m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-10)*s)\/s**(-2\/45) assuming s is positive.\nAnswer: s**(-403\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 21*b - 228. Let s be y(29). Let l = 4.6 + -5. What is the third biggest value in -23\/4, s, l?\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*c**3*j + c**3*m - 64690*c*m + j*m - 257*j + 686 wrt m.\nAnswer: c**3 - 64690*c + j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12)\/24)\/(2\/(-16)). Suppose m*u = 9 + 11. Let g(b) = 13*b + 22. Let i(s) = -19*s - 33. Let f(j) = u*i(j) + 8*g(j). Differentiate f(d) wrt d.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*c - 6912 = 38*c - 71*c. Calculate the highest common divisor of c and 360.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 26471.83g?\nAnswer: 26471830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2434*j - 47112*j + 18861*j + 18393*j - 33582*j - 42899*j)*(-2*j**3 - 4*j + 4*j) to the form a*j**4 + t*j + q + b*j**3 + f*j**2 and give a.\nAnswer: 177546","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/(15525\/(-10))*-5\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 4:26 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, z: 1, f: 2, d: 1, v: 2}. What is prob of picking 1 d, 1 z, and 1 c?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttz when three letters picked without replacement from {v: 3, t: 2, m: 5, z: 3}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 87 - 133. Let c(p) = p**3 + 13*p**2 - 19*p + 11. Let s be c(-14). Let j = s + t. Calculate the remainder when j is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 2*j**2 - 2. Let m(z) = 65*z**3 - 12*z**2 + 2*z + 21. Let a(b) = -m(b) + 6*n(b). Differentiate a(p) with respect to p.\nAnswer: -213*p**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2094 - 3056. Let w = v + 2343. Is w a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 153254 and 0.555.\nAnswer: 85055.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-9))\/((-4)\/(-9)*-3)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72444582 and 36890.\nAnswer: 362222910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of i**4\/12 + 7*i**3\/6 - 9*i**2\/2 + 85*i. Determine w(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -132, -2, -3\/4, 0.1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 125*z - 2 - 8 + 19 - 9 as x*z + u and give x.\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from {y: 2, b: 10, d: 4, r: 1}.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*h + 44*h - 7*h to the form d*h + o and give d.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 16*r - 16. Let l(t) = -3*t + 3. Let b(q) = -11*l(q) - 2*s(q). Let u be -1 + (-3)\/(-1 + 2). Determine b(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, d: 2, u: 8, e: 1}. What is prob of sequence dud?\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 1415823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -195, 2, -183.\nAnswer: -195, -183, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -38\/3*h**2 + 4 - 22*h**3 + 40\/3*h**5 + 26\/3*h + 26\/3*h**4 = 0. Calculate h.\nAnswer: -1, -2\/5, 3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1463.91*-32.\nAnswer: 46845.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 5 = -1. Let f be 3\/z*(3 + -12). Let v(l) = -l**3 - 9*l**2 - 2*l + 8. What are the prime factors of v(f)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10.328454 and -0.1.\nAnswer: 1.0328454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*a**3 + 869*a + 874*a - 1743*a - 23*a**3.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of 3*g**8\/28 - 7*g**4\/12 - 2*g. What is the third derivative of v(z) wrt z?\nAnswer: 720*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 5.9. Which is the second smallest value? (a) -5 (b) 2\/13 (c) n (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/56*6 + 59\/7. Let u be (-87)\/(-232) + (-3)\/a. Solve -5*r - 4*h = -2, u*r - 3*r - h - 3 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 3 (c) 31\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 287485, 287677, 287857, 288019, 288157?\n\"Answer: -k**3 + 199*k + 287287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, j: 7, a: 1}. Give prob of picking 3 j.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -9. Let l = -49 - -25. Let u be (-3)\/4 - (-6)\/l. Sort u, 3, k in descending order.\nAnswer: 3, u, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 2*q, 0*i + 4*i = 4*q - 4. Let z(p) = -16*p**2 - 7*p**2 + 16*p**2 + q. Let h(t) = 63*t**2 - 28. Calculate 3*h(w) + 28*z(w).\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -2. Let g be 170\/6 + (-4)\/12. Let p = g - 23. What is the smallest common multiple of n and p?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 565112*l. Let x(r) = r**2. Give k(x(v)).\nAnswer: 565112*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4620?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(8\/11))**(-26\/7)*(d**(-5)*d*d*d)\/(d*d\/(d**(-50)\/d)*d))**(2\/41) assuming d is positive.\nAnswer: d**(-9040\/3157)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f**3 + f**3 - 5*f**3 + (-1 + 4 - 2)*(3*f - 3*f - f**3) + (50 - 50 + 4*f**3)*(-4 + 5 + 5) to the form z + j*f**3 + t*f**2 + o*f and give j.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 361*k**5\/4 + 3895*k**4\/4 + 10359*k**3\/4 + 5269*k**2\/4 - 368*k + 21 = 0.\nAnswer: -7, -3, -1, 2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -141476880 - -141477088.999818. Let k = 387 + -178. Let u = k - w. What is u rounded to 5 decimal places?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 8:03 AM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c + 2. Suppose -4*w - 3*l = -91, -4*l = w - 15 - 11. Suppose 4*v = -w - 2. Give u(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, 4, 73, -6, 134 in decreasing order.\nAnswer: 134, 73, 4, 1, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 274, 528, 770, 1000?\n\"Answer: -6*g**2 + 272*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 5. What is the smallest value in l, -5, 0.22?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2717999 is divided by 50.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 586 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(432))\/(2*sqrt(96)).\nAnswer: -9*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3013*o**5 + 68*o + 14?\nAnswer: 60260*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -335*o + 1809*o + 875*o - 1 as i*o + p and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -22, -36, -74, -148, -270, -452, -706?\n\"Answer: -2*i**3 - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*o + 167*o - 297*o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 8) in base 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 5:41 AM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42 - -41. Let y = -2.378 - 0.639. Let i = -0.017 - y. What is the nearest to i in -0.1, k, -1\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 4:26 PM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 4:01 AM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.67455 milligrams in micrograms?\nAnswer: 19674.55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 254315?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 111230032130210?\nAnswer: -111230032130213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3229 + 5*j**2 + 3229.\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -23\/32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.052 less than -154?\nAnswer: -154.052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181*d = 182*d + f - 25, 92 = -4*d - 20*f + 24*f for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2111*w + 13380. Calculate d(7).\nAnswer: -1397","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((3*sqrt(99) - sqrt(99))*1 - 2*sqrt(99)*6)\/(-2*sqrt(324) + (sqrt(9) - (sqrt(9) + 3*sqrt(324) + sqrt(9) - sqrt(9)))).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9494989717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjw when three letters picked without replacement from jwwjhwwwh.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) + 2 - sqrt(76)) + 2 + (sqrt(1216) + 2)*-6 + 2)**2.\nAnswer: 576*sqrt(19) + 43812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 - 13*n - 2. Let m be b(-7). Suppose f - 3*p - m = 0, -f + 0*p = -p - 34. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -1017*j - 88476. What is v(-87)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/36 in 359, -2\/1679, 2\/11?\nAnswer: -2\/1679","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + (-2)\/(90\/(-155)). Is 1\/3 <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o + 5. Let p = 33 + -24. Suppose -p*l = 38 - 110. Determine j(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4837493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s\/(s**(-7)\/s)*s**(-3)*s**(1\/3)*s*s**(-7)*s*(s\/(s*s*s*s**2*s)*s)**(9\/13)\/(s**(-1\/3)*s*s*(s**1\/s)\/s*s) assuming s is positive.\nAnswer: s**(-82\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/5 (b) 46 (c) -3.46 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -43052*y. Let g(i) = -136*i. What is g(v(m))?\nAnswer: 5855072*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*q + 64 = -44, -246 = -5*f + 3*q. What is the highest common divisor of 255 and f?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 346818923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -3, -1313 in decreasing order.\nAnswer: 0, -2, -3, -1313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 615\/2 - 299. Let r(d) = -d. Let w be r(-3). Find the common denominator of 7\/12 + -5 + w and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of -v**3\/3 + 7*v**2\/2 - 5*v - 7. Calculate the remainder when 13 is divided by n(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*s + 48 = 82*s. Is s a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 238688330.\nAnswer: 2, 5, 17, 359, 3911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -435c (base 14) in base 2?\nAnswer: -10110101111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0681771 rounded to three decimal places?\nAnswer: -0.068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*y**4\/3 + 16*y**3\/3 + 59*y**2\/3 - 48*y + 12 = 0. Calculate y.\nAnswer: -3, 2\/7, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-20)\/(-10) - 2*1. Let n be 1\/(c - (-1)\/2). Solve 0 = -7*r + n*r + 10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30554, 30532, 30510, 30488?\nAnswer: 30466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -13*j - 151. Let g(x) = 13*x + 152. Let b(h) = 2*g(h) + 3*y(h). Does 85 divide b(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 less than or equal to 294?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 0) + -3 + -5 + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) 25 (c) 662\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1456)\/(-27) - 54)\/(4\/26 + 66\/(-936)).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 m when two letters picked without replacement from mmqmmqm?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 28796906?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.791738974 to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 8 - (-12 - (-29 + 1) - 13 - -117).\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1688211704 is divided by 221?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 230177 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*c + 2*c - c)*(8*c**3 - c**2 + c**2) as t*c**2 + p*c**4 + k*c + d + g*c**3 and give p.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4066920, 8133837, 12200754, 16267671, 20334588?\n\"Answer: 4066917*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-26*a**2 - 3*a + 16*a**2 - 2 + 0*a)*(-3 - 4 + 4)*(6 + 3*a - 6) as g + t*a**2 + w*a + s*a**3 and give t.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 12:01 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 3815 and 7631\/2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 7 = 4*v, -2*m + 13 = -1671*v + 1676*v for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20290.5 + -16145. What is u rounded to the nearest one hundred?\nAnswer: 4100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - 12*t**2 - 33*t + 6. Calculate the remainder when g(-12) is divided by 67.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/18344 and -38\/2293?\nAnswer: 18344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6285583879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -303 - -302.3. Let l = 0.6999715 + h. Round l to 6 dps.\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + 2*sqrt(325) - sqrt(325)) + (sqrt(325) - (-1 + sqrt(325) + -1 + sqrt(325)) - sqrt(325)))**2*-4*4.\nAnswer: -5600 + 800*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w + w - 2*w - 3*w. Let x(u) = 10*u**2. Calculate p(x(z)).\nAnswer: -30*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20005 or 740166\/37?\nAnswer: 740166\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m - 5. Let p be l(-6). Let x be 2\/(0 + 6\/9). Sort 4, p, x.\nAnswer: p, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 (base 9) to base 5\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2554*t**2 - 19*t + 855*t**2 + 848*t**2 + 859*t**2.\nAnswer: 8*t**2 - 19*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -3*d. Let s be -4 - d\/1*-1. Let w be -2 + 1 - 5 - -1. Sort w, 2, s.\nAnswer: w, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1946654727 to the power of 1\/2, to the nearest integer?\nAnswer: 44121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 660 divide 266956791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 10 = d. Let p(y) = -y. Let w(x) = -2*x. Give d*p(i) - 5*w(i).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 2311924?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3339815752 to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(2\/2 - 4). Solve -4*y + 8 = m, -a - y + 12 = 3*y for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*t + 72843 = -176997. What is the greatest common factor of t and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2802*j - 56047. Calculate f(-20).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h - 1. Let d(o) = o + 1. Let l = -2 - 3. Let v(m) = m - 4. Let i be v(-6). Let a = i - l. Calculate a*d(x) - 3*c(x).\nAnswer: -2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(2\/25))\/(b\/b**(-1)))\/(b\/(b*b*b**8\/b)*b**(2\/37)) assuming b is positive.\nAnswer: b**(6499\/925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ah when two letters picked without replacement from aaaaaaaaaahaaaaaaaaa.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 5. Let s = -15\/14 - -19\/14. Which is the second smallest value? (a) -0.3 (b) s (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 - 14 + 3 = -3*o + 4*z, 10*z = 5*o for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -c + 4, -2*l - l = -3*c - 3 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 572 + 56 + t**2 - 266 - 4*t**2 to v + u*t + h*t**2 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of 8*h**3\/3 + 5*h**2 - 4*h + 14. Let v(w) be the first derivative of z(w). What is the first derivative of v(b) wrt b?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 895 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003338309012 rounded to 6 decimal places?\nAnswer: -0.003338","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -3*k**3\/7 + 1915485*k**2\/7 - 305755941024*k\/7 - 305757856512\/7 = 0?\nAnswer: -1, 319248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + 0 + -357 + 390?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-10)*(-30)\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-120)\/(-140) - 16*8\/133) + (-210)\/1254.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-68)\/16 + (-36)\/(-16) + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/((-126)\/(-4))*(-549)\/(-671)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 + -17)\/(-3) - (-2 - 31). Suppose x = 4*o - f, 6*x - 3 = 5*x. What is the highest common divisor of o and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pkkppppp. Give prob of picking 2 p and 2 k.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 969 + -527. Suppose 5*i + 135 = 2*z, -4*i - d = -5*z - 130. Is 10 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 650449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -10) + -11 - 11\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 6:28 AM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -840 = 4285*c - 4345*c for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9417349 is divided by 2034?\nAnswer: 1963","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 d when two letters picked without replacement from {c: 1, o: 1, d: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196*k**5 + 1568*k**4 - 3708*k**3 + 2224*k**2 + 304*k - 192 = 0. What is k?\nAnswer: -2\/7, 2\/7, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5\/4, -2\/11, 38, -0.019?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 2:47 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1727468068?\nAnswer: 2, 19, 43, 569, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.229 - 28.029. Let v = 36 + d. What is v rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-10032)\/1216)\/(3\/(-68)). Let v(w) = 11*w**2. Let y be v(1). What is the greatest common factor of y and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 6*z**2 - 4*z - 1. Suppose 16 = s + 3*s. What are the prime factors of f(s)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 166574*c**3*p + 577*c**2 - 241623*c*p - 2*c - 1177 wrt c.\nAnswer: 999444*c*p + 1154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 135?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 195603833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1001\/117 + -9 + (-44)\/(-18). Solve 0 = 2*g + c, 6*g - 2*g = 4*v + 16 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3148866 a multiple of 938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -12231112003 (base 4) to base 16\nAnswer: -1ad583","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9254 and 140.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*1\/4*(-40)\/(-2). Suppose 6*m = -o*m + 44. Find the third derivative of 13*l**4 - 14*l**4 - 17*l**m - 39*l**2 wrt l.\nAnswer: -432*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255.0721819 rounded to the nearest 10?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-3 + 4 - 27\/6)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a millennium?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 231 and 132.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1361920?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j*j\/j**21*(j\/(j\/((j*(((j\/((j*j**(-5\/13))\/j*j))\/j)\/j)\/j*j)\/j)))\/j)**(-12\/13))**(-25))**(-37\/5) assuming j is positive.\nAnswer: j**(594960\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/6*o + 0 - 1\/6*o**4 - 1\/6*o**3 + 1\/6*o**2.\nAnswer: -o*(o - 1)*(o + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11523 by 5.\nAnswer: -11523\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 34\/34*(1 - -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k**2 + k - 2. Let z be o(1). What is the first derivative of -5*w - 2*w**z + 7 + 10*w**2 + 5*w wrt w?\nAnswer: 16*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gs when two letters picked without replacement from {g: 9, s: 2}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 756 = -9*t + 783 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.4 + -1.45. Let w = o - -0.35. What is the second smallest value in w, 7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 9080, 9087, 9098, 9113, 9132, 9155, 9182?\n\"Answer: 2*n**2 + n + 9077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.4185115 minutes?\nAnswer: 25110690000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-3\/43)*c**11)**(-31\/4))**(-6\/13) assuming c is positive.\nAnswer: c**(21855\/559)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -119 + 117. Let q(b) = 2*b**2 + 3*b. Let a(h) = -2*h**2 - 2*h. Calculate r*q(y) - 3*a(y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 10, -2060, 89 in increasing order.\nAnswer: -2060, 10, 19, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5210 + -4?\nAnswer: -5214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186*b + 163*b + 1240 = 205. Solve 44*r = b*r - 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612)*1 + 4 + sqrt(612) + sqrt(612) + 0 - ((sqrt(612) - (sqrt(612) + 2))*4 + 4))**2 + 5)*2.\nAnswer: 576*sqrt(17) + 11154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-176)\/(-77))\/(-16))\/((-2)\/(-2)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220652 is divided by 110320?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8 + 2183322?\nAnswer: 2183313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 5*f = -85. Suppose f*z = 19*z + 2. Suppose -5*v = 2*u - 23 - 4, -2*u + 5*v = 23. Sort z, -5, u in ascending order.\nAnswer: -5, z, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -363261, -363071, -362881, -362691, -362501, -362311?\n\"Answer: 190*y - 363451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/n**(12\/5)*n**(4\/39)*(n*(n*n*n*n\/(n*n*n\/n**(1\/56)*n))\/n)\/(n\/(n\/(n**13*n))) assuming n is positive.\nAnswer: n**(-166853\/10920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29*t**3*v + 534*t**3 + t**2*v - 88*t - 114*v wrt t.\nAnswer: -174*t*v + 3204*t + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (6 - -2)\/(112\/(-392))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 195324 and 1355358.\nAnswer: 2382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -573, -1184, -2063, -3210, -4625?\n\"Answer: -134*t**2 - 209*t - 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 13*v**2. Let p(m) = 5*m**2 + 0 - 18*m**2 + 40*m**2 + 0. Give p(k(y)).\nAnswer: 4563*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 471, -3923, -11245, -21495, -34673, -50779, -69813?\n\"Answer: -1464*p**2 - 2*p + 1937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3593958 divided by -48567.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/115 and -18\/4375.\nAnswer: 100625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + 10*i - 586. Calculate m(-30).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.20300327034 to 2 decimal places.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 1317555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*o**2*t + 4437*o*t + 3*o + 1864*t - 2986 wrt o?\nAnswer: -8*o*t + 4437*t + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29 + 43224.263.\nAnswer: 43195.263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -33 - -23222?\nAnswer: 23145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 AM and 12:40 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 86.8 - 58.9. Let h = j - 28. Is h less than -1.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11648 is divided by 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 - -22. Let s(q) = q**2 - 5*q - 1. Let v be s(j). Suppose -v*d + 0 = -5. Solve 2*z + d - 9 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60 - -0.0039830524547.\nAnswer: 60.0039830524547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 0, -1, -2\/19, -1\/360, -2, 4\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*(-3)\/(-6) - -1. Suppose 274 = b*r + 26. Suppose 0 = 4*n + 5*a - 163, -2*a + r = 2*n + n. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -4, -3\/4, 463, 0, -3, 91\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/(-315))\/((-28)\/(-189))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.38 times 21.35?\nAnswer: -840.763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-81)\/(-9)*(-7)\/(-84)*8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**3 + 0*n**3 - n**3)*(4*n + 8 - 8) + 2230513*n + 428 - 2230513*n - n**4.\nAnswer: -9*n**4 + 428","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-13)\/u*u*u**(-12) assuming u is positive.\nAnswer: u**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 16.209768762 and -0.23?\nAnswer: 16.439768762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 211946743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 + -e56?\nAnswer: -e5e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 714286649*w**2 + 603511561.\nAnswer: 1428573298*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6980 a factor of 360095096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/15 + (-345)\/(-25). Let g(z) = 526153*z + 11. Let l be g(h). Round l to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172 = -6*d + 2*d. Suppose 404 = -4*b - o + 1098, 5*b + 2*o - 869 = 0. Let y = b - d. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*j**4 + 7 - 13*j**3 - 5 - 2*j + 13*j**3 to k*j**3 + i*j**2 + n + s*j + g*j**4 and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1)*(0*y + 2*y + 0*y) + (-8*y - 18 + 18)*(-3 + 4 + 1).\nAnswer: -18*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from meapetmee. What is prob of sequence pee?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 7.97. Let w = -0.059 + 0.359. Which is the second biggest value? (a) w (b) x (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 560 + -4547\/8. What is the common denominator of 27\/16 and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*u**3 + 14*u**2 - 119*u wrt u.\nAnswer: 30*u + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49325765?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - 8*b**2 - 13*b - 13. Is f(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*x = -15. Let i be ((-410)\/(-100))\/(0 - 2). Let h = i - -9\/5. Which is the second smallest value? (a) h (b) -1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.00014 * -2.47.\nAnswer: -0.0003458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 times -4?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5*v**3 + 2)*(4*v**2 - 5*v + 5*v).\nAnswer: 20*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 5*g**2 + 4. Suppose 2*p - 35 = -3*p. Suppose 42 = 7*q + p. Give s(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -124 - 61. Is (i\/(-5))\/((-172)\/58 + 3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, 3\/7, 3, -2\/11 in descending order.\nAnswer: 3, 3\/7, -0.04, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -4*q + 625, 600 = 4*l + l - q. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/x**(1\/7)*x\/(x\/(x\/(x\/(x*x\/((x*x*x**(-10)\/x)\/x)*x*x))))*x\/(x*x*x*x**8*x*x)*x**11\/x assuming x is positive.\nAnswer: x**(90\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h*k*z**2 + 12*h*k - 2*h*z**3 + 5*h - 8*k*z**4 + 9755*k*z**3 - 22*z**2 - 31*z + 1 wrt z?\nAnswer: -12*h - 192*k*z + 58530*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -1 - -50 - (-49 - (-34 - 26))\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**0*y)**(-2\/21)\/(y\/(y\/(y\/(y*y\/(y**(1\/4)*y)*y))*y))**37)\/((y\/y**1)**(-13\/2)\/(((y\/(y\/y**6))\/y)\/y**8)) assuming y is positive.\nAnswer: y**(5171\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -2833083a?\nAnswer: -28330842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 20 = -b. Suppose -323 = 5*f + 4*c - 1014, 413 = 3*f + 2*c. Let t be f\/25 + 6\/(-15). Sort b, -1, t in descending order.\nAnswer: t, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18568716788 - 18568716817.000000122. Let g = 29 + o. What is g rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1316 and 2772?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yaa when three letters picked without replacement from yyayayyayaaay?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 145 - 142. Sort 5, y, -1, -3.\nAnswer: -3, -1, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 + 10*w - 3. Let d be x(9). Suppose d*i - 4*f = i + 60, 4*i - 52 = 4*f. Is (-182)\/(-8) - (-2)\/i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 197617725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -30840000 rounded to the nearest one million?\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + s - 3 = 0, -231*p - 15 = -229*p - 5*s for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16477 + 11386. Does 43 divide 2\/11 + -10 + m\/(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 477022?\nAnswer: 2, 7, 13, 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 232*o - 106*o - 252 = 0. Determine a so that -1 + 1\/2*a**o + 1\/2*a = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggil when four letters picked without replacement from gilkilgvigvp?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -155\/6048 and 73\/8640.\nAnswer: 60480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3231022112 - -11?\nAnswer: -3231022101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l*l*l**(2\/9))\/l))**(1\/20)\/(l**(2\/3))**(-1\/54))**(48\/11) assuming l is positive.\nAnswer: l**(8\/1485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -5*s - 4. Let q be 22\/(-4) - (-5)\/(-10). Let l(a) = a + 1. Let u(d) = q*l(d) - o(d). Let z be (14 - (-198)\/(-21)) + 9\/21. Give u(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-7)\/(-14))\/((-2)\/(-20)). Suppose s - 4*v - 25 = -0*v, 3*s - n*v = 110. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + 5*v**2 + 4*v + 5. Let h be q(-4). Suppose 2 = -j + h*o + 15, -4*j - 2*o = -30. Calculate the highest common factor of j and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -306\/5, -1, -149, -1\/2, 3\/5, 4, 5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-3\/4))\/(f*f**(-2\/29)))**(-9) assuming f is positive.\nAnswer: f**(-855\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -2, -3, 945 in increasing order.\nAnswer: -5, -3, -2, -1, 945","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - 7*x + 6. Let g(d) = -2*d**2 + 13*d - 11. Let r = -3 + 0. Let s(j) = r*g(j) - 5*i(j). Give s(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 times -0.088?\nAnswer: -1.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 10 + 2 = 0. Let i be -35*(-2)\/z*-6. Suppose 0 = -2*r - 17 + i. What are the prime factors of r?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178261.\nAnswer: 178261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kdj. Give prob of picking 1 d and 1 k.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1986461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 649630241 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/2888 and -115\/96?\nAnswer: 34656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 66564215053 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4158 divided by -27.\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + -40. Let g = -10 - d. Solve i - 3*i = 3*q + 4, -5*q + 4*i + g = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) 3\/5 (c) 2 (d) -9 (e) 1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 21, 168317, -1\/10, -0.22?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -333 + 3?\nAnswer: -330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16994 + 80183. Suppose -4*o + 54396 = 4*d, -5*o = -3*d - 22384 + t. What is d rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 1)*-4*2\/112\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 482790 and 1558095.\nAnswer: 34278090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 67438 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -20, -53, -102, -173, -272, -405, -578, -797?\n\"Answer: -x**3 - 2*x**2 - 20*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.605956ms in microseconds?\nAnswer: 3605.956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5927439908 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 11\/59, 0.4.\nAnswer: 11\/59, 0.4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, -0.07, 4, -0.14, -4\/3535 in increasing order.\nAnswer: -0.14, -0.07, -4\/3535, 4, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -4*q - 40. Let n be u(-11). Suppose -430 - 134 = -n*l. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 7*c**2 + c + 7. Let h be q(-7). What is the third derivative of 14*k - 32*k + 5*k**2 + 16*k + h*k**2 - 17*k**5 wrt k?\nAnswer: -1020*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3728267531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 1 + ((-120)\/10)\/(-4). Let r be (-7)\/(-3) + (-3)\/9. What is the highest common divisor of r and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 403083?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 3*m**2 + 6*m. Let b(q) = q. Give 5*b(d) - f(d).\nAnswer: -3*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 624 by -78.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 366*q**2 + 81*q - 1626 = 0 for q.\nAnswer: -271\/122, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 48278000165 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 10. Let r = 26 - 26. Suppose -4*o - 18 = -5*t, 3*t + 2*o = 2 - 0. Which is the third smallest value? (a) s (b) t (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3\/2 + 3\/2*o - 3\/8*o**2 = 0. What is o?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2\/55, 1.4 in ascending order.\nAnswer: -2\/55, 1.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-46 - -20) + 22616\/869?\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 6) to base 11.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 278 divide 178373820?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 50*q - 7. Suppose 2*p - 35 = 3*d, p = 2*p - 5*d - 14. Is o(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h**3 - 15*h**2 + 182*h.\nAnswer: 12*h - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**5\/2 + 88*n**4 + 1467*n**3\/2 - 3006*n**2 = 0 for n.\nAnswer: -167, -12, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 + 3*x + 5. Let q be d(-2). Suppose -2*c = -5 - q. Let y(b) = 3*b**3 + 5*b - 2 + 5*b**2 + 1 - c*b**3. Determine y(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2737 (base 15) to base 3\nAnswer: 102111021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 7 - 23 = 0. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 5*k. Let u = 7 - 3. Suppose -s - 84 = -u*s. What is the remainder when s is divided by h(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 620 = 5*f. Calculate the highest common factor of f and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1009*j = -1026*j + 85. Let v(l) = 10*l - 3. Let n be v(2). Solve 8 + n = j*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60775?\nAnswer: 5, 11, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4461657?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-6))\/(2\/(-12)). Sort z, 5, 14 in increasing order.\nAnswer: z, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-491 + 86 - 259)*(-4*s**4 + 2*s**4 + s**4) to n*s**2 + v*s**3 + c*s + g + b*s**4 and give b.\nAnswer: 664","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + 17*r - 11. Let v be b(16). Suppose -524 = v*k - 1479. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 25*k**3 - 405*k**2 + 780*k - 140 = 0.\nAnswer: 1\/5, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 378 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 8 = 2*j + 8, -2*l = -2*j + 14. Suppose -p - j = -23. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mik when three letters picked without replacement from {m: 1, k: 4, t: 1, d: 4, v: 1, i: 1}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*m + 23*m = -539500. Round m to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116.300414 rounded to 2 decimal places?\nAnswer: 116.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 4)*(-h - h + 3*h) - 17*h + 26*h + 13*h.\nAnswer: 24*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3875 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of 4*y**3\/21 + 34*y**2\/7 + 578. Find f, given that w(f) = 0.\nAnswer: -17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*x - 12*x + 1016. Suppose -5*g + 136 = -x. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 39974, -100, -4.\nAnswer: -100, -4, -1, 39974","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -44025, -87285, -130545, -173805, -217065, -260325?\n\"Answer: -43260*c - 765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 502297679?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 32339 + 5465*o - 32339 + (2 + 2 - 5)*(0 + o + 0).\nAnswer: 5464*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, e: 4, x: 10}. What is prob of picking 1 x and 1 e?\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30570?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/((sqrt(120)\/sqrt(5))\/sqrt(6)).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1779)\/(-1224) - (-8)\/(-12). Let a = -863\/238 + 45\/14. Let o = a + z. What is the third biggest value in 3\/4, 3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7653.03*-0.3.\nAnswer: 2295.909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 108, -700099 in ascending order.\nAnswer: -700099, 4, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p - 8. Determine y(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**3 + 4806*b**2 + 1924803*b = 0. What is b?\nAnswer: -801, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -4, 0.4, 18, 2\/19, -5?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of t**8\/1512 - t**7\/945 - 7*t**6\/540 + 13*t**5\/270 - t**4\/18 - 87*t**2. Find g such that c(g) = 0.\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 333*x + 335*x + 336*x + 329*x + 332*x - 1705*x.\nAnswer: -40*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 449 a factor of 535834804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3557*b - 83*b = -1001*b - 1256*b + 378246 for b.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42*59\/(-2124)*-6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = 5*i - 10, 0 = d - 15*i + 10*i - 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 60 = 5*n, 3*y + 2*y = n + 40. Let h(f) = -2*f - 2. Let s be h(-3). Let z = -2403793 + 2403793.4. Sort s, z, y in ascending order.\nAnswer: z, s, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -123014 - -1?\nAnswer: -123013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + (40 - (10 + -25 + -8)).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in twenty-seven halves of a millennium?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 3254370 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (445*-1)\/((-310)\/62). What is the highest common factor of 5 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -229\/6770 or -1?\nAnswer: -229\/6770","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of -a**4\/24 + a**3\/2 - 9*a**2 - 3*a. What is r(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 40459, 165964, 376519, 672124, 1052779?\n\"Answer: 42525*q**2 - 2070*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -28 + 10?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13655955803 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 814006310?\nAnswer: 2, 5, 13, 6261587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -4*d + 3*j, 3*d + 2*j + 3*j - 32 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 7 = -1 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 724, 803, 880, 955?\nAnswer: 1028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 11*l + 7. Suppose -9 = -3*m, v - 5*m + 14 = -m. Let i be ((-7)\/3)\/(v\/(-6)). Let t(r) = -6*r - 4. Let n = 653 - 657. Determine i*t(f) + n*d(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31820 - -71155. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 11:51 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*c + 3*c - 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-24)\/(-15) - 2)*(-940)\/112 and -13\/56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -0.2, 3.6, 0.25.\nAnswer: -0.2, 0.25, 3.6, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -441 + 21301?\nAnswer: 20420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4637.298 millennia in decades?\nAnswer: 463729.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-2))\/(-1) + 14. Suppose -h + 6*h = y. Suppose -32 = 2*d + 3*d - h*r, -28 = 3*d - 4*r. Let q(v) = -v**2 - 4*v + 4. What is q(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*4*1*((-1 + sqrt(27))**2 - (sqrt(363) - (sqrt(363) + 0))).\nAnswer: -72*sqrt(3) + 336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1\/1)\/2)\/((-49)\/882).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 3*v + 12 = 0, 3*m + 2*v = 2*m + 10. Let h be 0 + 82\/6 + m\/(-9). Let f(t) = 5*t - 26. What are the prime factors of f(h)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.3134022 rounded to 2 dps?\nAnswer: 41.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u. Let l(t) = -16*t**2 + 3*t - 7. Let z(b) = -8*b**2 + 2*b - 4. Let a(g) = -4*l(g) + 7*z(g). What is a(o(f))?\nAnswer: 72*f**2 + 6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36225 is divided by 134.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 46 = -19. Suppose 0 = l + 5*a - n - 28, -2*l - 2*a + 94 = 0. Suppose 0 = 7*b + 3 - l. Calculate the greatest common divisor of 9 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 86712397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from clcecseccelcelac. What is prob of picking 1 s and 1 e?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183109 is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11098479.\nAnswer: 3, 7, 443, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**3 + 26*t**2 + 64*t + 50. What is g(15)?\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of 5*s**4\/4 + 400*s**3\/3 + 265*s**2\/2 - 4*s - 7. Factor c(n).\nAnswer: 5*(n + 53)*(3*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a gram in milligrams?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3*g**2 + 4*g + 31. Let j(c) = 3*c**2 + 4*c + 29. Let h(s) = -6*a(s) + 7*j(s). Let d be h(7). Let b = -112 + d. Does 16 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y + 7. Suppose -6*j + 2*j + 28 = 0. Let v(k) = 2*k + 4. What is the least common multiple of v(3) and h(j)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136460902?\nAnswer: 2, 53, 283, 4549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) -0.2 (b) 0.3 (c) 905 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (((-44)\/6)\/(-22))\/(33\/(-18)). Let f = -17\/14 - -3\/2. What is the nearest to f in -8\/3, t, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -d (base 15) in base 2?\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 22 times 0.326\nAnswer: 7.172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -220150\nAnswer: -1\/110075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**3 + 3*k**2 + 30*k - 22. Calculate x(0).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 + -8. Suppose 3*h - z*h + 180 = 0. What is the greatest common divisor of h and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2c1b3 - -648?\nAnswer: -2bb6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 7 + 7 + 9*s**2.\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j - 165 = -653. Let g = j - 57. Let k(o) = -g*o**2 + 2*o**2 - 18*o**2 + 5*o**2. Let h(r) = 3*r**2. What is h(k(p))?\nAnswer: 675*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qkkkkkqkkq. Give prob of sequence kqk.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*12\/16*(-2)\/14.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.024 + 0.594. Let w = l + 0.43. What is the second smallest value in w, -3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202 is divided by 53.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 252887?\nAnswer: 252887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 38 = 4*k. Let r = k + -38. Let b be (2\/(-3))\/((-18)\/(-27)). Sort b, 4, r in ascending order.\nAnswer: b, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/54 - 412\/(-36)) + -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000122 rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -460 and -2?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 12220222 (base 3) to base 5\nAnswer: 114234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.09 (b) -0.2 (c) -3 (d) -117 (e) -5 (f) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -988960 - 231834?\nAnswer: -1220794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 11:31 AM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (-33 - (-34 - 43))\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*d**2 + d**3 + 3*d**2)*(-2674 + 5357 - 15*d - 2679) in the form x*d + k*d**3 + c + r*d**2 + f*d**4 and give f.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.02 - -7. Let m = 0.06 + g. Which is the second smallest value? (a) 0.5 (b) m (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q - 5*q + q)*(-4*q**2 + 2*q**2 + 4*q**2)*(-6791*q - 1 + 2754*q - 10748*q) in the form o*q**3 + u*q**2 + h*q + f*q**4 + b and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 6*d**2 + 7. Suppose 3*f - 9 = -0*f, 2*f = 3*r. Let k(w) = w**2 - 2*w**2 + r + 3*w**2. Let c = 4655 + -4648. Determine c*k(z) - 2*x(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 - a**2 - a**2)*(0 + 0 - 8)*(2*a + a - 4*a).\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 4*q**2 + 5*q. Let b(k) = 3*k**2 + 4*k. Calculate -4*b(h) + 3*j(h).\nAnswer: -3*h**3 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -36*c**5 - 1484*c**4 - 16168*c**3 - 17920*c**2 - 3200*c = 0.\nAnswer: -20, -1, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1541721*-0.46.\nAnswer: -709191.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 6 - 2 = -2*f - 1, b + 779*f + 1 = 775*f for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 834*f + 165 = 5*l + 850*f, 17 = -3*l + 2*f for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 467?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 5:06 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(10\/910)\/(-1)*4\/(80\/35).\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 1087450208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/3))**(-2\/71)*l**8*l**(4\/5)\/l assuming l is positive.\nAnswer: l**(8327\/1065)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4\/5)*n*n\/(n*n**4)*n**(-2\/9)\/n*n\/n**(-2\/19)*n*n)**(-1\/5) assuming n is positive.\nAnswer: n**(1639\/4275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 72, 282, 636, 1140, 1800?\nAnswer: 2622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 28) + (-256 - -273).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 11\/(-66) - (-3)\/6. Sort -2, -12, u in descending order.\nAnswer: u, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 10. Let d be (-1)\/4 - 34\/(-8). Let b be d*z*10\/8. Solve b*a - 4*o + 5 = 0, 0 = -3*a - 0*o + 5*o - 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -55, -4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**3 + 6*v**3 - v**3)*(-5 - 8 - 3)*(1 - 1 - 1) + v**2 - v**3 - v**2.\nAnswer: 31*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2 + -5*(sqrt(425) + sqrt(425) + (sqrt(425) - 1*sqrt(425)))))**2.\nAnswer: 7200*sqrt(17) + 1530144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7, i: 7, n: 5}. What is prob of picking 4 h?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10.36 + 10.76. Which is the nearest to 1? (a) 1 (b) 72 (c) -2\/5 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 576023?\nAnswer: 7, 19, 61, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iaazaznzawnaawaaaaw. What is prob of picking 2 z and 1 a?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-3)*b\/(b\/(b**3\/b)))**(-28)\/(b*b**8*((b**(-1\/2)\/b)\/b)\/b*b*b)**(-8\/3) assuming b is positive.\nAnswer: b**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -21*q**2 - 26*q - 79. Let v be l(-3). Let w = 1460 - v. List the prime factors of w.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 5, 18170, 1, -12, 3, 2.\nAnswer: -14, -12, 1, 2, 3, 5, 18170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjjjjjjj. What is prob of sequence jjjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -120*m + 62*m - 30 + 60*m in the form z + g*m and give z.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 74154550 to the nearest 10000.\nAnswer: 74150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f + 42257 + 31583 = 0. Does 16 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 853 is divided by (-5068)\/(-18) + 524\/1179.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 769 + -770.4217. What is x rounded to 1 dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 - 17. Let r = 2.84 - 1.14. Let w = b + r. What is the closest to 0.4 in 2\/15, w, -1\/9?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73649815 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 3*x**4 - 5*x**4 + 3*x**4)*(x + x - 5*x).\nAnswer: -3*x**5 - 15*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/2 - 1143\/10*1530\/2754?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8267, -7, 11 in descending order.\nAnswer: 11, -7, -8267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.116 and -476.\nAnswer: 55.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - 6. Let f = 69 + w. Suppose 3*u - f = -2*y, 0 = -5*y - u - 2*u + 173. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -a + 1527*h - 1523*h - 17, -3*h = 2*a + 32 for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -6*t**2 + 45*t + 41. What is v(8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*m + 56 = -79 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3*i**2 - 2*i - 2. Suppose -12 = -5*b - n, -b - 3*n = -0*n - 8. Let m(x) = -7*x**2 - 3*x - 5. Calculate b*m(d) - 5*p(d).\nAnswer: d**2 + 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + 7c40d7?\nAnswer: 7c40db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20640, 20741, 20844, 20949, 21056, 21165, 21276?\nAnswer: 21389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -1\/20*a**6 + 0 + 8*a**2 + 0*a**4 + 0*a + 1\/70*a**7 + 0*a**3 + 1\/20*a**5. Factor b(s).\nAnswer: 3*s**2*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -239392 (base 15) to base 5\nAnswer: -413424222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5351 to the power of 1\/2, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -7*f**2 - 13*f + 21. Let a(c) = -7*c**2 - 12*c + 20. Let b(g) = -4*a(g) + 3*r(g). What is the remainder when 56 is divided by b(2)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6554001 (base 8) in base 10?\nAnswer: -1759233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -7*c**2 - 8. Let o(p) = -36*p**2 - 41. Let t(y) = -2*o(y) + 11*r(y). What is the derivative of t(l) wrt l?\nAnswer: -10*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.894793 litres in millilitres?\nAnswer: 5894.793","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/65 and (1\/(-5380))\/((-146)\/(-11096)).\nAnswer: 17485","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, s: 3, f: 1, k: 4, t: 4, b: 3}. Give prob of picking 1 f, 1 e, 1 s, and 1 t.\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 8100000*j**3. Let u be y(-1). What is u rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen tenths of a kilogram in grams?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2636877 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*u - 651 = 264*u + 829 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 4*l**2 + 64*l - 336. Let r be n(5). Solve -82*c + r*c = 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/18 and -87\/8836.\nAnswer: 79524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0.06, -900 in descending order.\nAnswer: 0.1, 0.06, -900","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 26568 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/2)\/(2\/(-48)). Let w = v - -14. Is 47\/4*(10 + w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3940304 + 0.14016.\nAnswer: -0.2538704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08904429136 - 0.028?\nAnswer: -0.11704429136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -62.4 - -0.3. Let s = -66 - o. What is s rounded to 0 dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 4:16 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/32, 21, -1, -4\/3, 14\/3, -1\/4 in decreasing order.\nAnswer: 21, 14\/3, 1\/32, -1\/4, -1, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -4*h**2 - 2*h + 1. Let f(w) = -w**2 + 3*w - 1. Let o be f(1). Let z(g) = g**2. Determine o*y(q) + 5*z(q).\nAnswer: q**2 - 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 2*m = 138. Let u = m + -42. Is 4 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110020 (base 3) to base 9\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/(sqrt(96)\/(sqrt(72)\/sqrt(6))).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15767 - 15768. Put -909\/7, -0.1, k in increasing order.\nAnswer: -909\/7, k, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 + 17. Let t = -13749\/2522 - -13\/194. Let f = t - -223\/39. Which is the nearest to f? (a) 0.3 (b) r (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-69)\/(-46))\/((-102)\/(-8)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.1324 - -0.1464. Let n = 2 + q. Let d = n - -0.015. What is d rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 4*p = 4, -p - 295 = -297. Put -0.15, -0.24, c in increasing order.\nAnswer: c, -0.24, -0.15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -0*q + 12. What is the third derivative of -4*i**2 - 6*i**6 + 0*i**q + 2*i**2 wrt i?\nAnswer: -720*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 103? (a) -0.06 (b) -108 (c) 2\/189\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 6*q + 5. Suppose -3*c - 80 = c + 4*w, 0 = -5*c + 2*w - 135. Let l = c + 35. Let k be (12\/l)\/(3\/10). Let p(y) = 5*y + 4. What is k*p(a) - 3*j(a)?\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7828 - 7814. Solve 3*m - 9 = 3*z, -18*z + 4 = -q*z for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b - 5. Let q be y(-6). Is (q\/1)\/((-1)\/(-9)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2114 (base 12) in base 15?\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 56 and 64?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3\/130 + 293\/1430. Let w = -0.17 - -2.17. Sort w, -0.1, u in decreasing order.\nAnswer: w, u, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.11 - 10647.3259731\nAnswer: -10647.4359731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 242 = -4*z + 2*d, -247 = -3*z + 7*z - 3*d. Let n = 13 - z. What are the prime factors of n?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 + 0 - (-2 - -9). Calculate the common denominator of -107\/36 and 1074\/(-108) - 3*h.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-2*sqrt(300)*-4)\/(-1*(4*sqrt(4) + sqrt(4)) - (sqrt(36) + (sqrt(36) - (sqrt(36)*-1 - sqrt(36))) - sqrt(4))).\nAnswer: 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -219375 divided by -39?\nAnswer: 5625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1770.\nAnswer: 2, 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2*l - w = -12144, -4*l + 12136 = 3*w. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**2 + 2*c**2 - 25832 - 4*c**3.\nAnswer: -4*c**3 - 25832","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.078 (b) 4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*j - 1. Suppose j*f = 3*f + 313. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -61*y - 6750. Determine v(-120).\nAnswer: 570","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.7 + 6.7. Let u = 6.00000003 - m. What is u rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39715 divided by -611.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 2*g + 33. Calculate the least common multiple of g and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/14341954 and -23\/13038140.\nAnswer: 143419540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00104984 rounded to 5 decimal places?\nAnswer: -0.00105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -357*q**3 - 223*q**3 - 656*q**3 + 209*q**3.\nAnswer: -1027*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 4*y = 0. Suppose 5*k - 4*n - 34 = y, -4*k = -2*k + 4*n - 8. Let m(c) = c**2 - 5*c. What is m(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2030445 to the power of 1\/2, to the nearest integer?\nAnswer: 1425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 1 = 11. Let g be -2*6\/s*1. Let t(p) = -2*p + 2. Let i be t(g). Solve i*o - 4*o = 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2169426?\nAnswer: 2, 3, 7, 47, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-28)*v\/(v*v**(-18)*v))\/(v**(3\/29)*v*v**(-9\/4)) assuming v is positive.\nAnswer: v**(-1027\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44) + (sqrt(396) - sqrt(396)*3))\/sqrt(4).\nAnswer: -5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4139699 or -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 3*p. Suppose p = -4*x - t + 129, -5*x + 16*t + 159 = 18*t. What is the remainder when 196 is divided by x?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1400 (base 5) to base 14\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 108 - -124. Let c = -224 + k. Solve 6*z + c = 10*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 11. Solve d = -z + 3*n + 5, n = -2*z + 2*n - 5 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01*-36634\nAnswer: -366.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(f**(-1\/7)\/f))\/f*f**(2\/15))**(-2\/5)*f*f*f*f\/(f\/((((f**(-1\/3)*f)\/f)\/f*f*f*f)\/f*f))*f*f**3\/f*f**7*(f**(-5)*f)\/f assuming f is positive.\nAnswer: f**(4597\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + t - 4*t)*(0 - 2 + 0) + 2*t + 0*t - 4*t + 1 + 0*t + 0*t + 2*t + (-3*t + 1 - 1)*(3 - 3 - 1) - 3 + t + 3.\nAnswer: 8*t + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42 + -26. Suppose 0 = -3*b + 42. Calculate the least common multiple of p and b.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvvvffv. What is prob of picking 1 v and 2 f?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 165, 354, 589, 870?\n\"Answer: 23*h**2 + 120*h + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {i: 3, k: 8, y: 4, d: 1, l: 1}.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -54440*r**6 - 14290*r**2 wrt r?\nAnswer: -6532800*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (1186 - 1829 + 988)*(3*j + 0*j - j)*(-6 + 2 + 3) as g*j + m and give g.\nAnswer: -690","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*o - 12*o**3 + 7239*o**2 - 7239*o**2 + 12*o - 30*o.\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3433, 1.4, -2\/7, 1\/3?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 5*y = 35, 5*a - 5*y = -2*y + 31. Suppose -3*w = 4*j - 489, 20 = -3*w + a. What is the greatest common factor of j and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.9797786 and 0.3?\nAnswer: 0.59393358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - 5*f**2 - 5. Let s(p) = -p**2 - 1. Let y(g) = -g**2 + 11*g + 11. Let c be y(12). Determine c*z(w) + 5*s(w).\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 1012221220110?\nAnswer: 1012221220102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66 and 2112.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21109157 to the nearest integer?\nAnswer: 4594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*n + 34 = 5 - 27 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*t - 4 + 4)*(2*t**2 + 4 - 2 + 0*t**2) + (-2 + t**2 + 2)*(-t - t + 3*t) + 2*t**3 + 2*t - 2*t + 3*t**3 - 15*t**3 + 0*t**3.\nAnswer: -27*t**3 - 18*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117275 is divided by 11625.\nAnswer: 1025","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.6 - -6. Let a = j + 1. Let b = 1.3 + -0.3. Put 2, b, a in decreasing order.\nAnswer: 2, b, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32\/305 - -18\/61. Let s = -0.05 - -0.05. Which is the nearest to u? (a) -0.1 (b) 0.2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 48.8504?\nAnswer: 14.65512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 8. Let a = 51 - 52. Let j be -2 - (d - (2 + a)). Let x(p) = -p. Give x(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + c - 5 = 2*c, 4*c = 20. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 54*b**2 - 6955*b - 1402. What is l(129)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 8. Let a be b - (0 - (4 + -2)). Suppose a*n - 88 + 28 = 0. Which is smaller: n or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-3\/7))**(-2\/113))**(-7\/4) assuming b is positive.\nAnswer: b**(-3\/226)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 1 + (-135)\/(-1). Suppose 4*x = 3*f + 47, x + 742*f + 4 = 745*f. What is the highest common divisor of x and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*j - 9 + 9 + (4*j - 3 + 3)*(1 + 0 - 2 + 1 - 3 + 3 + (1 - 1 + 1)*(-1 - 3 + 2) - 1 + 3 + 0 + 1 + 1 + 0 + (1 + 5 + 0)*(-6 + 2 + 1)).\nAnswer: -72*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000305686 rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6 * 5087787.\nAnswer: -3052672.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*q + 1107*q**2 - 82*q - 1284*q**2.\nAnswer: -177*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58839, -235311, -529433, -941205, -1470627, -2117699, -2882421?\nAnswer: -3764793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 5 = -2*o - 3, -36 = -5*o - 4*m. Suppose -o*w + 20 = -2*t, -w + 2*w = 3. Sort t, -2, 4.\nAnswer: t, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 853.\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 17*y**2 - 3*y - 143. Let o(c) = -18*c**2 + 2*c + 141. Let d(r) = 4*g(r) + 3*o(r). What is the derivative of d(t) wrt t?\nAnswer: 28*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 42\/2 - (26 - 27)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2604703 rounded to 2 dps?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 12:52 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33556, 67104, 100646, 134182?\nAnswer: 167712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -7. What is the third biggest value in a, -2\/7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*p = -117*p, 4*h - 3*p + 8 = -8*p for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*n + 2*n - 32 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 457218?\nAnswer: 2, 3, 8467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -455472 divided by 6?\nAnswer: -75912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2046, -4299, -6548, -8793, -11034, -13271, -15504?\n\"Answer: 2*p**2 - 2259*p + 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100111 - 101?\nAnswer: -101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-155)\/(-15))\/(3\/9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -56*d**2. Let p(k) = k**2 - 2*k**2 - 3*k**2 + k**2. Calculate o(p(c)).\nAnswer: -504*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00219953 to 6 decimal places.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1614 - r**4 - 84*r - 2*r**3 - 3222 + 2*r**2 + 1610 - 68*r to f*r**4 + c*r**3 + a + p*r + x*r**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3030 - 4?\nAnswer: 3024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 12*u + 5*b - 74457 = 0, 5*u + 62057 = b. Round u to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -15*q**3 - 7*q**2. Let u(x) = 3*x**2 + 0*x**3 + 0*x**3 + 7*x**3. Suppose -2*h - 12 = -5*b - 43, 5*h = -5*b - 45. Calculate b*u(f) - 3*c(f).\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {y: 1, l: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23212634?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.7 and 12527.3.\nAnswer: 12526.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 319655 = -11*h + 10*h, -4*f - 4*h = -426228. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(114) + sqrt(114)*-2*-2 + sqrt(114))\/((sqrt(144)\/sqrt(4) + sqrt(36))\/sqrt(6)) + ((-3 + sqrt(2299) + 1 - sqrt(2299))*-2*5)**2.\nAnswer: 6*sqrt(19) + 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 402, 8, 1, 279 in increasing order.\nAnswer: 1, 8, 279, 402","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 70 and 2013550.\nAnswer: 2013550","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -34*u + 28. Let y(v) = -11*v + 9. Let k(j) = -3*q(j) + 10*y(j). What is the derivative of k(g) wrt g?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.49 + 5.51. Let d = -6.54 + z. Let u = -0.6 - d. What is the second biggest value in u, 2\/7, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13693738?\nAnswer: 2, 17, 402757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-7)\/(-21))\/((-2)\/90). Let b be -2 + 6 - q - (2 - -2). Solve 2*h = 5*h - b for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 16*j**3 + 41*j**2 - j - 6. Let t(l) = -3*l**3 - 8*l**2 + 1. Let a(w) = 2*s(w) + 11*t(w). What is the tens digit of a(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/((-4)\/(-12)*-1). Suppose -32 = -c*w - 14. Solve 0 = -4*h + m + 6, w = 5*h - 0*h - 2*m for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/4341 and 21\/5?\nAnswer: 21705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/13 - 13654*a\/13 + 41196.\nAnswer: -2*(a - 39)*(a + 6866)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5604 + -4179100.\nAnswer: -4184704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 759858698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 319043119?\nAnswer: 37, 83, 103889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 96780 and 210.\nAnswer: 677460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6506 + -6505. Let h = 205\/7 + -29. What is the closest to h in -2\/9, -4, a?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 42\/15*(-3 + 13). Let m be (-74)\/h*2 - 6\/(-21). Which is the second smallest value? (a) -0.5 (b) m (c) 32 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-10)\/(a**(7\/6)*a) assuming a is positive.\nAnswer: a**(-73\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -s**4 + 12*s**2 + 1562*s + 352815 wrt s.\nAnswer: -4*s**3 + 24*s + 1562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*c - 57*c**4 - 387 + 387 + (-c**4 - 2*c**2 + 2*c**2)*(2 - 4 + 0) as w + m*c**4 + u*c + q*c**3 + j*c**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 17*q - 188. Let o(x) = -25*x + 286. Let v(z) = 8*f(z) + 5*o(z). Determine v(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 0 + sqrt(567))**2 + (-1*sqrt(567) + 1)**2 - (-5 + -2*sqrt(7) + -2 + (sqrt(84) + (sqrt(84)*-2 - sqrt(84)))\/sqrt(12)).\nAnswer: 4*sqrt(7) + 1143","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -3, 4, 0.4, 2\/875, 8 in descending order.\nAnswer: 8, 4, 0.4, 2\/875, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a**6\/a)*a*a\/(a*a**0)*(a*(a\/(a\/(a*a*a*a\/(a\/a**(-1)))))\/a*a)\/a**(-10) assuming a is positive.\nAnswer: a**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 4*o - 19 - 25 = 0, -4*o = 3*f - 47. Suppose 3*y + 1 = f. Suppose y*m + 83 = 3*r, r - 5*m - 13 = 33. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 5 = -3*k + 129, -5*s = -k + 58. Calculate the remainder when k is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 2*c + 70, -c = 3*o - 6*c - 70. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a and 1 x when four letters picked without replacement from axaixaiiaaiaaa?\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3061*f + 262014 = -64651 - 95753 for f.\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2203, -15667, -52215, -123391, -240739?\nAnswer: -415803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 547825 and 35088.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -26, 5 in increasing order.\nAnswer: -26, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40.09508 - 38.095. Let p = -2 + z. What is p rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 462 = 3*c, -2*c = -3*i + 4*i - 309. Which is smaller: c or 152?\nAnswer: 152","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 76987*k - 76987*k - k**3 + 73 - 2*k**4 - 2*k**2 as t*k**3 + x*k**4 + v*k + y + w*k**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 19068*x + 3069.\nAnswer: 19068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 - 6*g + 29. Let j be r(0). Is j bigger than 29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.7 - 4. Let j(h) = 3*h - 3. Let d be j(2). Let f be (-9)\/(-6)*(-1)\/d. Which is the biggest value? (a) l (b) f (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -396*n**3 - 2*n - 744*n**3 - 422*n**3 + 437*n**3 - 1091*n**3 to the form q*n**2 + w*n + u + v*n**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 1720 divide 4982959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + (2*sqrt(15))\/sqrt(3) + 6*(sqrt(5)*-1 + sqrt(5)))**2.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10.3 + -10. Suppose 23 + 27 = -10*n. Which is the closest to -2\/7? (a) n (b) l (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -3741*y - 116000. What is a(-31)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 34758 + 4?\nAnswer: 34763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**3 + 4*t**3 - 5*t**3)*(-26 - 4*t + 3*t - 22)*(0*t + 0*t - t).\nAnswer: 2*t**5 + 96*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z + 27. Let h be i(10). Is 16 not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46261 - 46255. Suppose 2*k - 268 = 62. What is the lowest common multiple of h and k?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -174979, -349956, -524933?\n\"Answer: -174977*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2786882775?\nAnswer: 3, 5, 37158437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9.5 + 2.5. Let o = d - 12.000135. Round o to 5 decimal places.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 5) to base 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -13084080 rounded to the nearest 10000?\nAnswer: -13080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1678*a + 39340 = 554*a for a.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -694 - -698. Solve 0 = 4*s + 4*u - 28, h*s + s - u = 11 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/241 or -0.9?\nAnswer: 2\/241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 4*v = -0*z + 11, -2*z + 3*v + 9 = 0. Let k be 10\/z*(-27)\/15. Calculate the highest common factor of 42 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 103 + -724\/7. Let m = -3043 + 3041. Which is the nearest to 1\/4? (a) m (b) r (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*c - 4 = 13*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98066 - 98066 - 2*t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1888 and 0.5.\nAnswer: -944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -3*i**5 - 666*i**4 - 35595*i**3 + 153228*i**2 = 0.\nAnswer: -113, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 178784923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.226197099 to two dps.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 684*w + 780. List the prime factors of g(5).\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-10))\/(((-32)\/(-4))\/(-4))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28.05 + 0.75. Let k = -56.3 - a. Put 0.2, -5\/3, k in increasing order.\nAnswer: k, -5\/3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - 8*z + 10. Let f be (7\/(-2))\/(2\/(-4)). Let g be c(f). Solve -4*t = -g*i + 11, -2*i + 14 = -2*t + 6*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3*z. Let m(n) = -19 - 33 - 20 - 21 - 3*n + 116. Calculate m(v(r)).\nAnswer: 9*r + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 119025809 a multiple of 195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 359 - 237. Suppose -127*d + z*d = -300. Let n = -61 + d. Which is smaller: -1\/13 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 1:29 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 2307146.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 4*p - 921, -4*n + 227 = 10*p - 9*p. Calculate the lowest common multiple of 105 and p.\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21.77 - -0.23. Let i = r + -12. Let x = i + -12. What is the closest to 1\/3 in x, 0.1, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/6 and 182\/11*9\/36?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -8*p - 49. Determine j(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -13590 and 88.\nAnswer: -13502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/4)\/(840\/42).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -29290.33 rounded to the nearest one thousand?\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**2*n)**(-24)\/(n**4\/(((n\/n**(-1\/3))\/n)\/n)))\/((n**(-1\/7)\/(n\/((n*n**4)\/n)*n*n))\/((n**4*n)\/n*n**(-2\/13)\/n)) assuming n is positive.\nAnswer: n**(-20387\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0007246 rounded to five decimal places?\nAnswer: 0.00072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 7:15 PM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15 or -0.4662?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 592\/5 + -1751\/15. What is the closest to 2 in v, -5, -0.4, 0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**3 - 2*s**3 + 4*s**3 + (0*s**2 + 2*s**2 - s**2 + (-2 + 2*s**2 + 2)*(2 - 1 + 1))*(-3*s + 8 - 8).\nAnswer: -11*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c**3 - c**2 + c + 2. Determine x(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4304 - -811. List the prime factors of c.\nAnswer: 3, 5, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/11)\/(f\/(f**(-14)\/f)))\/((f**(-1\/3)\/f)\/f**(-4\/15)))**(-2\/95) assuming f is positive.\nAnswer: f**(4988\/15675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 2*p = 66. Is p a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llll when four letters picked without replacement from mmmllmmmmlmmmmlmlmmm?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2559 - -2559.1. What is the closest to -3 in 5, 0.3, v, 1\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -23.56, -3\/4, -3\/7, 40, 2 in increasing order.\nAnswer: -23.56, -3\/4, -3\/7, 2, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -9*d + 17. What is the lowest common multiple of 20 and d?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1416 + 1413.4. Sort -3, n, 3 in decreasing order.\nAnswer: 3, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*w + 45*w - 1 - 20*w)*(0*w**3 + 0*w**3 + 2*w**3).\nAnswer: -6*w**4 - 2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30079?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3423305582 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(-20)*25\/(-20). Let u = 6 + -4. Sort x, u, -1, -0.3.\nAnswer: -1, -0.3, x, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.858 - -0.169. What is o rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 276 = -4*n, -2*n = 4*a - 7*a - 166. List the prime factors of 36\/(-3)*(-5)\/(-10)*a.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of -19*i**5\/4 - i**4\/6 - i**3\/3 - 19*i. Is h(-1) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3 = 3. Let o(d) = -5*d - 4*d + 7*d**2 + 3*d**3 - 4*d**f - 7 + 3*d. Give o(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 + 18.156. Let o = 0.056 - k. Which is the third biggest value? (a) 6 (b) 3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-9)*-3*288\/60*2?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1970 - -2570. Does 15 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 3*p - 4*p)*(-p**3 - p**3 + p**3) + 42*p**4 - 5*p**2 + 17*p**4 + 175 - 57*p**4.\nAnswer: 3*p**4 - 5*p**2 + 175","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50 - 16 - 24)*(5 + 4*t - 6 + 3 - t**4).\nAnswer: -10*t**4 + 40*t + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2*y + 580 = 0, -2*j - 3*y + 306 = -8*y. Is 144 at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r - 5. Let k be y(8). Suppose 0 = -d - 0 + k. Let f = 1 + d. Solve 3*j = -j - l + 12, -l = -f for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (34\/(-4))\/((-4941)\/(-378) - 13). Suppose 3*a = -a - 476. Is j smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20567 + 20508. What is the second smallest value in q, -9, -5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 4 + 3)*(0 + 4 - 22) + 3 + 2 - 3 + (2 - 5 + 2)*(0 + 0 + 1) - 2 + 2 + 2 + 3 - 2 + 1)*(2*a**4 + 0*a**4 + a**4).\nAnswer: -39*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (-59 + 94 + -49)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 351*r + 1037. Let d(h) = 352*h + 1040. Let g(c) = 5*d(c) - 6*p(c). What is the derivative of g(b) wrt b?\nAnswer: -346","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-336)\/64*-4 - -106. What is the third smallest value in -2, j, -3\/4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 783 = -2*n - 12601, -2*n = 2. Calculate the common denominator of 47\/3 and k\/672 - (5 + 2).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zxk when three letters picked without replacement from {s: 1, x: 1, k: 1, h: 3, z: 6}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3 - 458*b**2 + b + 458.\nAnswer: -(b - 1)*(b + 1)*(b + 458)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 462.\nAnswer: 1\/462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1319608*f + 3958824*f - 1319614*f - 1319607*f.\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1563167 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -97, -216, -383, -598, -861, -1172?\nAnswer: -1531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 662 divided by -66786\nAnswer: -331\/33393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -2*r - 8932, -7*r = 2*g - 4*r - 8927. Is g a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/(t\/t**11*t))\/t)\/(t**(3\/4)\/t))**21)**(-3\/2) assuming t is positive.\nAnswer: t**(-2331\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000042189 rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*b**2*r**2 - 405*b**2*r + 2*b**2 - 464*b*r**2 - 3*b*r + 3*r**2 wrt b?\nAnswer: -6*r**2 - 810*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5*o + 280 = 0, -105 = -s + 10*o - 6*o. What is the highest common factor of s and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of 9*v + 0*v**2 + 3\/5*v**5 + 0*v**3 - 3\/4*v**4 - 1\/10*v**6 - 2. Determine i, given that u(i) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.08 (b) 2\/5 (c) -1\/3 (d) 10\/7 (e) 81\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 10 = -194. Suppose -3*n - a = -4*n. What are the prime factors of n?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*k + 9 - 7 - 24*k**2 + 27*k**2)*(-3*k + 5*k - 3*k).\nAnswer: -3*k**3 + 12*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 3 = 3*m + 4*d, -4*m + 9 = 3*d. Let q(k) = 3*k - 2. Let o be q(m). Suppose -3*l + o*l = 5*w - 78, 32 = 2*w - 2*l. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of 2*v - 1\/12*v**4 + v**2 + 0 + 1\/6*v**3 + 1\/20*v**5. Let u = 1 - -1. Give g(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 + -74632460?\nAnswer: -74632466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110221 is divided by 1149.\nAnswer: 1066","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2483, 3021, 3559, 4097?\n\"Answer: 538*u + 1945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 170\/(-17)*4\/90.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of 15*k**4 - 119*k**3\/3 + 248*k. Find the second derivative of v(j) wrt j.\nAnswer: 360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -546706 by -5.\nAnswer: 546706\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -71664425, -71664431, -71664437, -71664443?\n\"Answer: -6*k - 71664419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 280, 991, 2168, 3805, 5896, 8435, 11416?\n\"Answer: -r**3 + 239*r**2 + r + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1876368 divided by 248?\nAnswer: -7566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 3*u + 12, 2*u = -l + 5*l + 16. Let w = -3.3 + 2.3. Let x be 0 + 8\/(-6) + 2. Which is the closest to w? (a) u (b) -1\/2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 126327091?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - b - 20 = 0, 3*w = -b + 17. Suppose -w*y = y. Suppose y = -5*r + o + 59, -r - 2*o + 17 = 3*o. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 + -19. Let j(c) = a*c - 113 + 113. Let r(p) = -2*p**2. What is r(j(f))?\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1352 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 801 + -797.1. Which is the closest to -1? (a) -2 (b) q (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 4*n**3\/3 - 1408*n**2\/3 - 111940*n - 5308392 = 0.\nAnswer: -87, 526","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -15 - 1. Suppose -j = 3*k + 1. Let f(y) = 3*y + 5. Let h be f(k). Which is the second smallest value? (a) 2\/3 (b) -0.3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/((-28)\/(-7))*(-5)\/30?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 47679.50131391 + -0.07?\nAnswer: 47679.43131391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -639*k**2 + 4*k - 5. Suppose -3*c - 21 = -2*d, 0 = -4*c + 3*d - 37 + 8. Let s be g(c). Round s to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**2 - 2*i**2 - 3*i**2)*(5 - 10*i**2 - 5) + (0 + 0 + 1)*(2*i**4 + 0*i**4 - 3*i**4).\nAnswer: 9*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -0.3, 27, 5, -2\/2433, -4?\nAnswer: -2\/2433","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 242727 to the power of 1\/2, to the nearest integer?\nAnswer: 493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 2:26 PM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-8)*0\/(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 430*k - 428*k = -4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -0*i + 27. Let t(r) = 4*r + 2. Let x(v) = -17*v - 9. Let u(m) = i*t(m) - 2*x(m). Let c(s) be the first derivative of s**2 + 1. Calculate u(c(p)).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = 15*g - 139. Suppose -2*z = g*a - 790, -z + 401 = 3*a - 74. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 11683276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1211 - 102210102?\nAnswer: -102212020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 5*q - 393, 20*f + 66 = q + 16*f. What is the lowest common multiple of 130 and q?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -960.561 - -0.01\nAnswer: -960.551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 42*k**2 - 348*k - 2564. Give x(13).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 - 25. Let o be (-16)\/80*(-5 - (2 - m)). Let v = 2 + -2.2. What is the closest to o in 1, v, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -7, 10708 in decreasing order.\nAnswer: 10708, 2\/7, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -21*d**4 - 1156*d**3 - 22*d**2 + 1285*d. Let y(g) = 3*g**4 + 165*g**3 + 3*g**2 - 183*g. Let j(u) = 6*r(u) + 43*y(u). Factor j(t).\nAnswer: 3*t*(t - 1)*(t + 1)*(t + 53)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -199551726 by 6.\nAnswer: -33258621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 4 + 6 + x + 6 - 2. Let o be p(-11). Suppose -102 = -o*z + 69. Calculate the highest common factor of 38 and z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -48*l**3 - l**2 + 1. Is 6 a factor of r(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*k + 2053 = -797 + 150 for k.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 68, -5, 39, -7\/5 in descending order.\nAnswer: 68, 39, 11, -7\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -83262 or 0.9?\nAnswer: -83262","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 46\/5 of a litre?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d + 2*w - 32, -2*w + 2 + 20 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) + (sqrt(121) - (sqrt(121) + sqrt(121)*2 + sqrt(121) + sqrt(121))))*5)\/(sqrt(704)*-2 - sqrt(11)).\nAnswer: 15*sqrt(11)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a millennium in decades?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from {u: 4, g: 4, w: 5, p: 1, s: 2, q: 4}?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = b + 4*y + 18, -5*b - 43 - 2 = 5*y for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-533)*(4 - 17). Which is smaller: -106 or o?\nAnswer: -106","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l**3 + 4*l**2 + 3*l - 14. Let c be h(-4). Let n = -162 + c. Put -12, -4, n, 1 in ascending order.\nAnswer: -12, -4, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 126 and 7119.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q + 52115 - 52182 - 4*q)*(0*q + 0*q - q).\nAnswer: q**2 + 67*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 151, 603, 1339, 2353, 3639?\n\"Answer: -y**3 + 148*y**2 + 15*y - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18)\/2*14\/(-42). Let i be 2\/b*(-42)\/(-7). What is the highest common factor of 6 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (-17 - -22) - (3 - 10 - -5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + 3 + 4 - 25*c + 26*c. What is the tens digit of j(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*a*c**3 - a*c**2*p**2 + 43*a*p**3 - 21*c**3*p**3 - 3*c**3*p + 4*p**2 wrt p?\nAnswer: 258*a - 126*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3*z + 1 = 0, 6*x = 2*x + 2*z + 26. Suppose -6*o + 3*o + 6 = 0. Suppose o*s + 3 = 3*s. Solve 4*i = s*i + x for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -424*w + 1006*w**5 - 4342*w**5 + 812*w**3 - 573*w - 812*w**3 wrt w.\nAnswer: -66720*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 55, 238, 735, 1702, 3295?\n\"Answer: 26*z**3 + z**2 - 2*z + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 2:11 PM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-296)\/333 + (-2)\/18.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + -1010111?\nAnswer: -1010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3633 + -3633. Which is bigger: 6140 or t?\nAnswer: 6140","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**2 + 3*q - 5. Let s be z(-4). Let v = -91147 + 91151. Put -7, s, v in descending order.\nAnswer: s, v, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.2 - -1.2. Which is the closest to 1\/3? (a) 5 (b) j (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -96*q**4 + 43*q**3 - 2*q**2 - 3*q - 9877824 wrt q.\nAnswer: -384*q**3 + 129*q**2 - 4*q - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.848 - 6. Let s = -0.042 - q. Which is the nearest to -1? (a) 0.5 (b) 4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1142.95 - -1143. What is the nearest to 0 in 1.4, -5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6959564137 to the nearest integer?\nAnswer: 83424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -4, 184128 in decreasing order.\nAnswer: 184128, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6*1*16\/(-6). Solve 13*h - 9*h - m = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*x = -15819 - 20481. What is the hundreds digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/7 - (-273)\/637. Sort 26, x, 0, -4 in decreasing order.\nAnswer: 26, x, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 907686\/142626 + (-4 - -1). Let i = -313373\/60508 + 145\/28. Let g = i + n. What is the common denominator of g and 101\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-30)\/9*-3 + -1. Suppose -y - 7 = -4*l. Solve -d - 1 = n, 0 = -4*d - 0*d - 5*n - l for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -5. Let m = -4 - -7. Suppose m*p = -2*p + 100. Solve -q*w - l - 6 = 0, p - 8 = -3*w - 3*l for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 356254770?\nAnswer: 2, 3, 5, 601, 19759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-9)\/s)\/s)\/s**(3\/7) assuming s is positive.\nAnswer: s**(-73\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -940, -3903, -8880, -15889, -24948, -36075, -49288, -64605?\n\"Answer: -3*i**3 - 989*i**2 + 25*i + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 f, and 1 t when three letters picked without replacement from styfygsyyfgt?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 23 (b) 17 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v - 2. Let g be k(4). Let m be -2 + g + -2 + -3. What is the closest to m in -0.3, 4, -8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 10. Let u = b + 2. Suppose -u*o + 228 = 2*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 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: Put -5, -2, -4, 5 in ascending order.\nAnswer: -5, -4, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.5802 to one decimal place.\nAnswer: 21.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 56 = -v. Calculate the greatest common factor of 21 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of -b**6\/20 - b**5\/20 - 5*b**4\/24 + b**3\/3 - 3587*b**2. Determine l(-2).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 5*c. Let i(s) = s. Let b(a) = a. Let p(x) = 3*b(x) - 4*i(x). Calculate p(t(u)).\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 3*r**3 - 10*r**2 - 8*r - 4. Let p(q) = q**3 - q**2 + 1. Let s(t) = -c(t) + 2*p(t). Let d be 4*(4\/2 - 0). Is 35 a factor of s(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 14*g + 29. Let y(v) = -5*v - 2. Let p(t) = -2*j(t) - 6*y(t). Give p(19).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**3 + o**2 - 2*o + 1. Determine n(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 119179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 725, 769, 825, 899, 997, 1125, 1289, 1495?\n\"Answer: h**3 + 37*h + 687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*v - 2 - 18*v + 10*v to i + d*v and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, m: 10}. Give prob of picking 1 m and 2 z.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110000110111001001001010 - 10001?\nAnswer: 1110000110111001000111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 3*z**4 - 1620*z**3 + 303474*z**2 - 22888980*z + 598885923 = 0.\nAnswer: 71, 199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 124943 from -3420.\nAnswer: -128363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) 0.4 (c) -17 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1*sqrt(192)*-2 + 1)**2.\nAnswer: 128*sqrt(3) + 784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/4 + 3\/(-6). Suppose 1 = -l + 4. Suppose 7 = -v + l. What is the third smallest value in v, 0.2, k?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.907 + -0.153. Let k = -0.06 - d. Let p = 0.34 - -0.06. Put p, 0, k in decreasing order.\nAnswer: k, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1578?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 at least 1309\/244?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -10. Let g(j) = -2*j - 5. Let y be g(v). Suppose -y*w + 5 = 0, -3*w - 1 = -0*u - 4*u. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/10 and (-381)\/36 - -10 - 4?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of -j**6\/40 + 21*j**5\/20 + j**2 + 2*j. Find u, given that o(u) = 0.\nAnswer: 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 85360573\/4 - 38668316623\/1812. Let d = r + 1\/302. Calculate the common denominator of 57\/2 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aj when two letters picked without replacement from jaaoajaoojja?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zlflflgkzzll. What is prob of sequence zgfk?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -0.88\nAnswer: -4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27.4 + 25. What is d rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 51512 - 27398. List the prime factors of d.\nAnswer: 2, 3, 4019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-751 + 14)*(2 - 3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) -2 (b) -45 (c) -70\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168 = 90*k - 34*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11172848?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -5*i + 9 + 1, -16 = -4*i. Suppose 0 = -4*a - 12, -2*a = l*f + a - 11. Let m = f - -1. List the prime factors of m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 217*g + 220*g - 437*g + 4*g**2.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(21\/33)\/7?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94649 divided by -24.\nAnswer: -94649\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75052?\nAnswer: 2, 29, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**4\/9 + 2*j**3\/9 + j**2\/3 - 8*j\/9 + 4\/9 = 0. What is j?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 73838 (base 13) in base 14?\nAnswer: 55ab3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4116\/(-387) + 12 + (-4)\/6. Which is smaller: 2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 14*r**2 - 7*r - 25. Let q be n(-15). Let w = 277 + q. Is 11 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*x - x - 12. Let k(z) = 6 - 10 + 3 + 5*z**x - 2*z. Let u be k(1). Solve -2*q = -u*b + 18, 0 = 2*b - 7*q + 3*q - 28 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + -43\/3. Let z be 14\/(-16) + (1 - 1\/2). Sort s, z, 2 in descending order.\nAnswer: 2, s, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1039, -1060, -1107, -1180, -1279, -1404, -1555?\n\"Answer: -13*g**2 + 18*g - 1044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43*i + 18*i + 4*i**2 + 8*i**4 + 25*i wrt i?\nAnswer: 192*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 618048840?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45784 and 507164?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/5 (b) -0.9 (c) -2 (d) 0.5 (e) -6 (f) 2776\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 810200 is divided by 202538?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -2*x + 3*r, -2*x + 19*r - 25*r = 32 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -14778, -59117, -133016, -236475, -369494?\n\"Answer: -14780*t**2 + t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 1 + (34 - (2 + 2)).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*j + 63. Let t = -150 + 152. Calculate the greatest common factor of j and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6953638?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, s: 9, u: 1, k: 1, t: 2, b: 3}. What is prob of picking 1 t, 1 l, and 2 s?\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 7 = -3*f, -f - 2*f - 17 = 81*b - 73*b for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 15*m**3 + 73*m**2 + 6*m + 5. Let n(h) = -14*h**3 - 63*h**2 - 5*h - 4. What is -6*n(l) - 5*p(l)?\nAnswer: 9*l**3 + 13*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(33) - (sqrt(198)*3)\/sqrt(6) - (sqrt(33) - sqrt(1188))*3))\/(-3*(sqrt(432) - sqrt(36)\/sqrt(3))).\nAnswer: -13*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 5) to base 10.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -567 + 567.08. What is the biggest value in 2\/9, -2\/9, n?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from leccvacvdva. What is prob of sequence la?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((0\/12)\/(-3))\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*p**4 - 108*p**2 + 108*p**2 + (p**2 - 2*p**2 + 3*p**2)*(p**2 - 4*p**2 + p**2))*((-8 - 11 + 3)*(p + p + 0*p) + (-2 + 6 - 2)*(-1 + 1 - p))*(3 + 0 - 2).\nAnswer: -680*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6393222 divided by -290601\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 465\/5 - (0 - 1). Suppose -4*t + j = 5*y, -2*y + 0*y - 3*t = -39. Suppose 27*x - 1056 = 11*x. What is the remainder when x is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32) - (sqrt(32) - (1*sqrt(96))\/sqrt(3)) - sqrt(64)\/sqrt(2)*2)\/((sqrt(20)*2)\/sqrt(5) + sqrt(36)\/(sqrt(9) + sqrt(36)\/sqrt(4) + sqrt(9))).\nAnswer: -6*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 - 3 + 1 - 1 + 1 + (-1 - 4 + 6)*(5 - 2 - 4) + 2 - 2 - 2)*(2860 - 2860 - 1012*d) as n*d + f and give n.\nAnswer: 6072","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.05, -3\/4, 10 in ascending order.\nAnswer: -3\/4, -0.05, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185 - 207 = 49*t for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + r - 41 = g, 0 = g - 4*r - 40. Calculate the remainder when 183 is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 937 divided by -142\nAnswer: -937\/142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126 divided by -123.\nAnswer: -42\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + d + 98 = -5*r, -5*r - d - 96 = 0. Let o = -17 - r. Solve -2*q + o = 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - 2)*1 + 17. Suppose -q + 30 = -w. Is 14 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*x = 4*a + 29*x + 192, 15*x - 690 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -160654 (base 9) to base 14\nAnswer: -280bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.051 times -539195\nAnswer: -27498.945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a centimeter in micrometers?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f**2 - 8*f**2 + 7*f**2 + 5*f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 + 27*g + 15. Calculate s(28).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 1 - (-7 + (4 - 1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/11, 6, 2\/7, 3, -2, -252, 2250?\nAnswer: -252","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 67 and 218219?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*u + 10*u - 8, -u - 14 = -2*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -15.7627 and -14.6.\nAnswer: -30.3627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 5\/((-35)\/21).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 15, v: 5}. Give prob of sequence aaaa.\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/2900 and 51\/3195005.\nAnswer: 1853102900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 98 = -2*a, -3*m = -3*a - 59 + 251. Calculate the remainder when 197 is divided by a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*y = -11*y. Which is smaller: y or 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 5:19 PM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.1 + 16.1. Let b = l - 31. Let a = b - -15.5. What is the closest to 0 in 0.4, -0.3, a?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, r: 5, y: 2, i: 4, e: 5}. What is prob of sequence ei?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 298729 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d0c42 + -35d?\nAnswer: d08e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 2*q**3\/3 + 154300*q**2 + 1080062*q - 3703088\/3 = 0.\nAnswer: -231443, -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 556 + -554. Let w(g) = -10*g**2 + 5*g**2 + 6*g**x + g**3 - 3 + 3*g**2 - 6*g. What is w(-4)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -1239*j - 168. Let u(k) = 37*k + 5. What is -168*u(d) - 5*v(d)?\nAnswer: -21*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((((-252)\/(-27))\/7)\/(-2))\/(50\/(-15)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1415 rounded to the nearest 100?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 24997 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 44*q + 878. Calculate g(-19).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -n**7\/630 + 2*n**6\/45 - 8*n**5\/15 + 9*n**4\/8 - 13*n**2. Let p(b) be the second derivative of m(b). Factor p(d).\nAnswer: -4*(d - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 5*d - 128, -2*d + 2*l - 5*l = -42. Suppose -28*k + 84 = -d*k. Calculate the greatest common factor of 14 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-12)\/(-9))\/4 + (-1071)\/(-54) and 91\/38?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 825626 and 21792181?\nAnswer: 828102878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 7*v**2 + 62*v + 16. Let d(b) = -b**2 + b - 3. Determine -6*d(a) - x(a).\nAnswer: -a**2 - 68*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 4*o - 21 = -o, -7 = -5*s + o. Solve 2*l + s = l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(3\/2))**(-2\/95) assuming k is positive.\nAnswer: k**(-3\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-22))**4 assuming h is positive.\nAnswer: h**(-84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - 1. Suppose 23 = -u + 25. Let a(t) = -7*t**2 - 14*t + 2. Let k(b) = u*o(b) + a(b). What is the second derivative of k(p) wrt p?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.4 + 1.1. Sort s, 2, -1\/8 in decreasing order.\nAnswer: 2, -1\/8, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 259, 210, 129, 16, -129, -306?\nAnswer: -515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -473*p**2 + 241*p**2 + 234*p**2. Let y(d) = 51*d - 1. Give f(y(t)).\nAnswer: 5202*t**2 - 204*t + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g = 254 - 683. What are the prime factors of g?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/6 - 3*u**2\/2 + 312*u.\nAnswer: -u*(u - 39)*(u + 48)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1086931903 or -1086931904?\nAnswer: -1086931904","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5324) - (-2 + sqrt(5324)*-2) - (5*(sqrt(44) + sqrt(44)*-2) + sqrt(44))\/(sqrt(20)\/sqrt(125) + sqrt(4))) + 4.\nAnswer: 6 + 208*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 4. Let u = -2.5 - -3. Let q = 0.0924 + -0.1924. What is the closest to q in u, y, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -7*b. Let w(g) = g. Give w(q(a)).\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76396.\nAnswer: 2, 71, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 70208\nAnswer: -1\/35104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11438024 to the nearest integer?\nAnswer: 3382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45831.9 + 45830.4. Let z = -1\/116 - -247\/1740. What is the fourth biggest value in z, d, 0.2, -1\/6?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-368)\/115*5\/(-2). Let a = n - 37. What is a rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 37*m - 56*m = -392 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16315*q**3 - 2708*q**3 - 2721*q**3 - 2720*q**3 - 2722*q**3 - 2720*q**3 - 2723*q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6002 - 5998. Let r(f) be the third derivative of 0 + 7\/12*f**o - 7\/30*f**5 + 2*f**2 + 0*f + 0*f**3. What is the second derivative of r(m) wrt m?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 11. Let z(p) be the first derivative of -j*p - 19*p**3 - 1 + 17*p**3 - 2. Differentiate z(c) wrt c.\nAnswer: -12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -40 + 122. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 640.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 h when two letters picked without replacement from {h: 1, i: 1, y: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 2702*m + 7 = -0*w + 2703*m - 14, 3*m = -3*w - 9 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 378 = 28. Suppose -4*t + 366 = -t. Suppose -f = -2*q + t. What is the greatest common factor of 12 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {i: 1, t: 5, h: 4}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 6*(5*(0 + sqrt(637) + sqrt(637) - sqrt(637)) + sqrt(637)).\nAnswer: 2 + 252*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) + 1*-2*sqrt(102) + sqrt(102))\/((2*sqrt(24))\/sqrt(4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jejw when four letters picked without replacement from ejewwejeewjejeeqjqqe.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + n - 27 = -3*a, -n - a = 1. Let c(x) = x. Let m be c(-5). Is n != m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -15*l + 712. What is the remainder when a(37) is divided by 45?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 58 (b) 1 (c) 4 (d) 0.3 (e) -5\/784\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*v + 4*u, 3*v = 6*v - 3*u + 3. Suppose 3*h + 4*c = 920, -c - v + 1 = 0. Is h a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25 + 31. Calculate the lowest common multiple of 8 and 7 + d\/(-2) + 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2340)\/8580 - 10\/22*-555. Let p = 406 + -154. Is p greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of -u**6\/120 + 3*u**5\/20 - u**4\/6 - 5*u**3\/6 - 13*u**2. What is the units digit of l(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 7993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-6)*(1 - 10). Let r be b\/(-10) - (-93)\/(-105). Is r less than or equal to -1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 106 + -91. Suppose -f = -9*a + 21. Find the second derivative of 363*p - p**a - 386*p - 4*p**4 wrt p.\nAnswer: -60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g - 23 + 7 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w + 3. Let o(n) be the third derivative of -n**4\/4 + 4*n**3\/3 - 40*n**2. Let l(r) = 3*o(r) - 8*z(r). Let q(d) = 12*d**2. What is l(q(h))?\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -10 + 25. Suppose -4*d - 140 = -5*n, -2*d + 185 = 5*n + m*d. Is 8 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128*k**2 - 136*k**2 - 129*k**2 - 127*k**2 + 508*k**2.\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 28, -205, -75.\nAnswer: -205, -75, -3, -2, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*k = -67008 + 69762 for k.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of -m**5\/60 - 3*m**4\/8 + m**3\/2 - m**2. Suppose -6*c + 24 = -0. Let d be (-3)\/4 + (-33)\/c. Calculate z(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10759a (base 11) in base 2?\nAnswer: 101001110001001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 39 = b - 208, 3*w - 965 = -4*b. Is 45 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 355 greater than 353?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -9.82. Let f = 0.165 + r. Let p = f + 0.315. Which is smaller: p or -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -72210a - -4?\nAnswer: -722106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -40 - -132146?\nAnswer: 132106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-5 + 5*(-3 + (sqrt(176) + -2 + 1*sqrt(176) + sqrt(176) - (sqrt(176) + -2 + sqrt(176) + 1)))))**2.\nAnswer: -4000*sqrt(11) + 20100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1900 and 5510.\nAnswer: 55100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 + 5*x**2 - 6*x + 5. Let v be -2*(1 + 14\/(-4)). Let n = v + -11. What is the units digit of s(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2504599 and 395463?\nAnswer: 7513797","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xssxxxxsfcxcxxsfxxc. What is prob of sequence fx?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 12:32 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.5*-6.21.\nAnswer: -15.525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f + 3*f - 3*f + (2 + 1 + 0)*(2564 - 2564 + 27*f) + (2 + 3 - 3)*(3*f - 6*f + 2*f).\nAnswer: 76*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 6*a - 246. Let i = a - 49. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 5*s + 10*s = 751, -3*y - 555 = -s. Let v be y\/(-12) - (-2)\/(-6). Suppose -5*h + 10 = -v. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*6*(sqrt(1280) + (sqrt(1280) - sqrt(1280)*2)*-6 - (sqrt(1280) + 1*sqrt(1280)*-6 - sqrt(1280)))**2.\nAnswer: 7787520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of l**4\/12 + l**3\/2 + l**2. Let q be w(4). Solve -t + q = 3*s, s = 3*t + t + 21 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 312*m - 316*m. Find the second derivative of -6*g**4 - 6*g**m - 495 - 3*g + 5*g**2 + g**2 + 488 wrt g.\nAnswer: -72*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11337 + 11337.021894. What is o rounded to four decimal places?\nAnswer: 0.0219","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.197 - -189.197. Let q = t + -188.999676. What is q rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 917 + -917.005. Let l = 164.0107 - 164. Let u = l + x. Round u to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32)\/(sqrt(12)\/sqrt(6)))\/(sqrt(8) + ((sqrt(200) - (-1*sqrt(200) - sqrt(200))) + sqrt(200) - sqrt(8))).\nAnswer: sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -386 - -547. Let n(x) = -x**2 + 154*x + 3 - 4 - t*x. Suppose -g - 2*g = 24. What is n(g)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 480274856 to the nearest integer?\nAnswer: 783","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 273727?\nAnswer: 273727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3520*h = 1529*h + 1789*h - 3636 for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -7 + 35 + -32.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9.1? (a) 0.5 (b) -5 (c) -0.15 (d) -2 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j**2 + j - 1. Let r be w(1). Suppose r*h - 3*z - 16 = 0, 4*h + 0*z = 2*z + 16. Solve h*v = -v - 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x**2 - 14 + 0*x**3 - 1 - 2*x**3 to h*x**2 + s + l*x + f*x**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*z**2 - 9*z**2 - 14*z**2 + (-88*z - 672 + 672)*(z + 0*z - 3*z) to the form n*z + w*z**2 + x and give w.\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.3 (b) 1\/2 (c) -13 (d) 2.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 9*p**2 - 11. Let v be j(-14). Suppose 543 = 4*l - v. Suppose 0*b + 566 = 4*b + u, 4*b - 3*u = l. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 592 + 235 + 2*j**3 + 294*j - 141 + 42*j**2.\nAnswer: 2*(j + 7)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-21)\/(-42) - 9\/(-2). Suppose -4*p - 2*v + 6 = 0, -5*p - 8 = g*v - 3. Let b be 1239\/15 + (-5)\/((-50)\/p). Is b equal to 83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-3)*(-15)\/(-1). Solve b - m = s - 2*s, 2*s + b = 5 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5328 - 3007. Calculate the greatest common factor of c and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + 0 + 0 + (3382 - 47) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -486732?\nAnswer: -486732","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -717.37 - -702. Let j = 46 + -29. Let d = a + j. Round d to one dp.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(242) + -1) + 2 + (sqrt(242) - (1 + sqrt(242))) - (-1 + 5 + sqrt(242) + (sqrt(242) + 2)**2))*-2.\nAnswer: 66*sqrt(2) + 502","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77574, -77400, -77224, -77046, -76866, -76684, -76500?\nAnswer: -76314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/3*1*-6. Let g = 2.2 - 7.2. Let s = 5\/7 + -3\/7. What is the nearest to s in g, -0.2, d?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from nnnnnnnunnuunnn?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/1661275 (b) -39 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9549 = 332*f + 5723 for f.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/4 - 1\/1. Calculate the remainder when (x*1)\/((-6)\/75) is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*b + 34 + 158. Let a be (b\/(-30))\/((-1)\/(-5)). Suppose 5*v - 6 - 4 = -l, 0 = 2*l + 10. Solve 0 = -a*j + 3*j - v for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 26 (b) 0.56 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16107 < 3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -41806272 divided by 13935424\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - 4*m**2 - 5*m - 1. What is the units digit of o(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-1)*(-1)\/2*(3586 + -3588)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (123*q**2 + 99*q**2 + 32*q**2)*(-5 + 1 + 2)*(19*q - 19*q - 2*q**2).\nAnswer: 1016*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 bigger than 12948628?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seven eighths of a kilogram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j + 10. Let s be q(11). Let a be (-8)\/36 - s\/27. Is a greater than 2\/449?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.27 * 0.01\nAnswer: 0.0127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**2 - h**3 - 3*h**2)*(8 - 3 + 8) + h**3 + 2*h**3 + h**3 + (-4 + 2 + 0)*(2*h**3 - h**3 + 0*h**3).\nAnswer: -11*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 357479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 11*w - 126. Let h be m(12). Let q be -1*(1\/(-2) - 0). Let u = -34.8 - -32.8. Which is the fourth biggest value? (a) h (b) q (c) u (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/16 and (-9)\/(-5 + (-258)\/(-48)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 12. Suppose k = -t + 12. Suppose 5*g - 8 = -2*r, -g - t = -5*g. Which is smaller: -3 or r?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 7*g - 6*g - 25 = 0, 23 = i - g. Solve i*f + 136 = 248 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6\/(-18))\/(17\/(-17)))\/(2\/(-108))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3 = -g + 2*u, 5*g = -u + 33. Let d(v) be the first derivative of -v**2 + v + 1334. Determine d(g).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 3*r = 561, 8*r = -2*x + 6*r + 282. What is the highest common factor of 23 and x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2 - 96*g**2 - 2*g**2 + 7 to j + b*g + p*g**2 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m - 3*g + 8*g + 17, 0 = 2*m + 4*g + 10 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/7 and 5\/242354916.\nAnswer: 1696484412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*y - 6*c + 14*c + 663 = 76*y + 7*c, -21*c = -2*y + 75 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) 13 (c) -2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*(-14)\/(-24))\/((2\/3)\/2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -306*w + 959 + 1183 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + -20 - (22 + -9) - -27.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 27\/21 + (-4)\/14. Let a be 60 - 5 - (j - 2). Suppose c = -o - 0*c + 18, 3*o = -4*c + a. Does 4 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 53 and 6318660?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.1 - -0.34. Let d = -0.35 + 0.11. Let y = d + h. Which is smaller: y or 11?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*2\/(-2) + 4. Let x = 5 - s. Find the third derivative of -6*k**2 - k**4 + x*k**4 + 5*k**2 wrt k.\nAnswer: 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, g: 1, n: 1, b: 2, u: 1, e: 1}. Give prob of sequence gt.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 13 + 5 + -8?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*v + 5*v**3 - v - 14*v as k*v**2 + j + a*v + g*v**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17070 (base 8) to base 5.\nAnswer: -221421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*t + g - 7, -4*t = -g - 14. Let i(b) be the second derivative of 0 - 1\/6*b**t + 7*b + 0*b**2. Let x(z) = 2*z. Give x(i(p)).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1587 - -49205\/31. Which is smaller: o or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vd when two letters picked without replacement from {q: 8, d: 7, v: 3}?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2011 is divided by 657.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 35834 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 118939933 a multiple of 1769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*g + 75 = -1137 - 1933. Solve -g*k + 88*k - 9 = 0, 5*k = -5*c + 45 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1155402688 by 34.\nAnswer: 33982432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 457 - 228 - 245 - 16*q**2 - 11*q. Let n(x) = 3*x**2 + 2*x + 3. Give 22*n(j) + 4*t(j).\nAnswer: 2*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -55*s. Let t(m) = -83*m**2 - 3*m. Calculate i(t(d)).\nAnswer: 4565*d**2 + 165*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -185.72 - -1431.58281.\nAnswer: 1245.86281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2111 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of z**6\/40 - z**5\/20 + 4*z**2. What is the third derivative of n(g) wrt g?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2538 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 + 40*m - 9. Determine u(43).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -695*n - 613*n + 1159*n. Let p(b) = -33*b. What is x(p(m))?\nAnswer: 4917*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*b**3 - 10*b**3 + 35*b - 34*b + 23.\nAnswer: -15*b**3 + b + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3302 and -27524.\nAnswer: 90884248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -246618248+-75\nAnswer: -246618323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -105, 25, 375, 945, 1735?\n\"Answer: 110*l**2 - 200*l - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 527796 is divided by 497.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 27 + (-16 - 24) + -14 + -14\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63) + (1 + sqrt(63))**2 - sqrt(70)\/(sqrt(10)*1) - (-5 + sqrt(7) + 2)*-4.\nAnswer: 12*sqrt(7) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 7*j - 8. Let q(g) = -13*g + 15. Let s(y) = -5*h(y) - 3*q(y). Let p(r) = r - 1. Let v = -5039 + 5037. Calculate v*s(c) + 9*p(c).\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1284434?\nAnswer: 2, 642217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1453864589.\nAnswer: 28433, 51133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of 21*b**2 + 0*b + 1\/12*b**4 + 0 + 1\/60*b**5 + 1\/6*b**3. Suppose z(i) = 0. Calculate i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5927, 8242, 10557, 12872, 15187?\nAnswer: 17502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 - 30*n + 2. Let p be z(30). Let f be 1 + -1 - (1 - 3). Suppose 2*i - 4 = -f*i. Which is smaller: p or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/15 + 746\/(-10). Let w = d - -108. Suppose -y = -2*x + 31, 5*x - y + 3*y - 100 = 0. What is the remainder when w is divided by x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 6*c + 3445*c**3 + 3*c - 5*c - 3*c**2. Let l be b(3). What is l rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2050 and 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 874, 6832, 22872, 54040, 105382?\n\"Answer: 841*g**3 - 5*g**2 + 86*g - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xw when two letters picked without replacement from {p: 7, x: 1, w: 6}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34832614*r**2 + 10602679*r wrt r.\nAnswer: 69665228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2916 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10160232601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 57, 4, 1, 33, 2, 10 in descending order.\nAnswer: 57, 33, 10, 4, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -14 + -1 + 7 + 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 142443112 (base 5) to base 14\nAnswer: 15735c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a litre in millilitres?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -75 + 94. Suppose r + p = -1. Does 12 divide 7\/(-3 - 64\/r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*c**4 - 4786*c**3 - 8*c**5 + 4738*c**3 + 2*c**5 + 15*c**2 + 27*c**4 = 0 for c.\nAnswer: 0, 1\/2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 12. Suppose 0 = 4*m, j - 3*m - s = -j. Find the second derivative of 3*f**5 - 6*f - 5*f**j - 2*f**5 wrt f.\nAnswer: -80*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6268 + 9733. Does 105 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c. Let v be 21\/18 + 15\/18. Let b(l) be the second derivative of 9*l + 0 + 0*l**3 + 1\/6*l**4 + 0*l**v. Give b(z(r)).\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 21223 * 7\nAnswer: 148561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 1770 - 2*t - 819 + 551 - 327 + 2376 in the form c + n*t and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 217116?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1432*c**3 + 1844*c**3 - 2*c**2 + 4*c**2 - 11*c - 3*c**2 to the form g*c + k*c**2 + w + y*c**3 and give y.\nAnswer: 412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -29*m. Let l(k) = 166760*k. What is l(a(u))?\nAnswer: -4836040*u","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 7. Suppose 0 = -h - 0*h + 3*u + 15, 28 = m*h - 4*u. Solve -h = -r + 2*j, -5*r + 3*j - 13 = -0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -41696863*k**3 - 319*k**2 - 9*k - 2767.\nAnswer: -250181178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 288 and 143904.\nAnswer: 431712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 12105 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -32.4 * 6.9.\nAnswer: -223.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + i + 12 = -6*a, 2*a + 22 = 4*i for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51, -442, -2381, -6678, -14245, -25994, -42837, -65686?\nAnswer: -95453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2646 = -3*b + 10710. Does 74 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3160 divide 106849080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17136.\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of m**3\/3 + 3*m**2\/2 + 2*m - 2818. Suppose 4*a + 3*w - 20 = 0, 3*a - 25 = -5*w - 10. Let r = -2 + a. Calculate c(r).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -47*w**3 - 36*w**2 - 7*w + 16. Let i(q) = 24*q**3 + 17*q**2 + 3*q - 7. Calculate 7*i(o) + 3*m(o).\nAnswer: 27*o**3 + 11*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 5:48 PM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-30) - 43\/(-15). Suppose -f + t*f = 14. Let r be (-2)\/(-4) + f\/28. Sort -4, r, -5 in increasing order.\nAnswer: -5, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121)*1*-4 + sqrt(121))*4)\/(sqrt(33)\/((sqrt(36) + sqrt(36)*1)\/sqrt(12))).\nAnswer: -24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + 10*i + 1. Let s(p) = -3*p**2 + 29*p + 2. Let u(j) = -11*n(j) + 4*s(j). Give u(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*z + 2307 = 1213 + 1292 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1470 and 330?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59, 125, 191?\nAnswer: 257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -0.4, -2\/233, 2, 3 in decreasing order.\nAnswer: 3, 2, 2\/3, -2\/233, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 6720 = -8*l. Calculate the highest common factor of l and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -265*c**2 + 589*c + 4. Let b(x) = 1326*x**2 - 2945*x - 22. Let o(n) = 2*b(n) + 11*t(n). Find the second derivative of o(p) wrt p.\nAnswer: -526","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f*z - 87*f - 527*z wrt f.\nAnswer: z - 87","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -59 + 96. Let u be (193 + -7)\/(-6) - 4. Let n = u + v. Solve 2*k - 8 = -n for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16725*h**4 + 68*h**2 + 68664*h + 1994?\nAnswer: 200700*h**2 + 136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.247 - 3.747. Which is the closest to 0.1? (a) -3\/25 (b) x (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 3619.512 centimeters?\nAnswer: 0.03619512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of -s**6\/120 - s**5\/12 - 3*s**4\/8 - 5*s**3\/3 + 2*s**2. What are the prime factors of i(-5)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 171962 to the nearest integer?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4257\/392 - 13\/49. Find the common denominator of k and -53\/66.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2862450, 2862492, 2862554, 2862630, 2862714, 2862800?\nAnswer: 2862882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*o - 106 + 1240 = 0. Suppose o*x = 46*x + 16. Which is the nearest to -2? (a) 0.3 (b) -38 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1042240 (base 5) to base 9\nAnswer: 27264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7a312 (base 13) in base 7?\nAnswer: -1614311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 101, 161, 219, 275?\nAnswer: 329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 11:23 AM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61735 is divided by 14721?\nAnswer: 2851","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 54 - 46. Suppose b*q - 5*k = 5*q + 79, -3*k = 5*q - 75. What is the highest common divisor of 234 and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j - 9*j = 0. Which is the nearest to -2? (a) -6\/7 (b) 0.1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 232 + 1103*n - 490 + 176. Let q be t(14). What is q rounded to the nearest one thousand?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36496.9 years in centuries?\nAnswer: 364.969","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1 + sqrt(720))**2 + 0.\nAnswer: -24*sqrt(5) + 719","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d, 4*r - 3*d - 8*d + 6*d = 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 + 0 + 4*v**2 + 2)*(20*v + 16*v - 23*v).\nAnswer: 26*v**3 + 26*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11722.\nAnswer: 2, 5861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*k**3*z**5 + 2*k**3*z**2 - 24*z**6 - 30*z**2 - 10 wrt z?\nAnswer: -660*k**3*z**2 - 2880*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 78*o + 76*o = -14, 0 = 3*n + 2*o - 11 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 65 and 3382885.\nAnswer: 43977505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/99)\/(12\/(-1728)*8).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 41434699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j**3 - 46*j**2 + 156*j - 57. Let i be o(19). Solve -5*f + 3*q + 0 + i = 0, -5*q = -4*f + 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102 divided by -3\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 - 8*g + 13. Determine d(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 29?\nAnswer: 5\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qiiiimimiiiqiiiqii. Give prob of picking 1 i and 3 q.\nAnswer: 13\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - (7 - 9) - -10) + 3 + -12?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -8*f + 1. Let a(h) = -11*h + 1. Let d(v) = 3*a(v) - 4*o(v). Let c(z) = 4*z + 1. Calculate c(w) + 2*d(w).\nAnswer: 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, -298 in ascending order.\nAnswer: -298, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.4*-265503.\nAnswer: 371704.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 9:16 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -773 - -1329. Let g = w + -553. Solve -15 + 1 = -4*a + g*v, 2*a + v = 12 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -5 (c) 60 (d) -8 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -7 - (12 + -2 + -9 + 12).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -4*z - 40, 28*z - 10 = 33*z + 3*a for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31.982 - 0.018. Let f = q + 28. Let i = -80 + 79.5. Put -2\/7, f, i, -0.4 in increasing order.\nAnswer: f, i, -0.4, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(187) + sqrt(187) + sqrt(187)*1)\/sqrt(11) - sqrt(17))**2*-1.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -6. Suppose 2*u = 6*u + 8. Let j be u\/4 + 3 + -2. Is j not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x*x*((x**(-9)*x)\/x*x)\/x)\/x))**(-2) assuming x is positive.\nAnswer: x**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -1\/10, 4\/11, 36.\nAnswer: -2, -1\/10, 4\/11, 2, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -2.6, 160\/11, 0.5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 9*q**2 + q - 8. Let k be u(9). Find the first derivative of k + 4*b**2 - 2 - 7*b + 7*b wrt b.\nAnswer: 8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 61\/162 + -197\/81. What is the common denominator of -97\/2702 and c?\nAnswer: 24318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in -0.09, -1, 5.08, -3\/10, -2?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1944295?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-35)\/(-84) - (-2)\/(-3). Let j = 6 - 9. Let z = j - -2. Which is the third biggest value? (a) y (b) z (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 + 28*c - 28. Let v(d) = 6*d**2 + 13. Let a be v(3). Let o = 86 - a. Is t(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -18447, -36887, -55305, -73689, -92027?\n\"Answer: 2*v**3 - v**2 - 18451*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qb when two letters picked without replacement from qkkqqqqqbqkkqkqkkq?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -109 - -174. What is the first derivative of -14 - 14 + 10*w**4 - 14 + y wrt w?\nAnswer: 40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33261107 is divided by 68?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2. Let m(t) = -6*t**2 + 6*t**2 - t**2 - 4*t**2. What is m(v(j))?\nAnswer: -5*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15487*q**6 + 762138*q**2 wrt q.\nAnswer: -1858440*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 424*h**2 + 0*h - 160023513 + 160023513 + 0*h.\nAnswer: 424*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -44, -5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 9 - (16 + -4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.4 + 1.3. Let q = i + -4.6. Let t be 26\/30 - (-4)\/(-6). What is the closest to -4 in q, t, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.9196 + -0.4696. What is the closest to 0 in 4, u, -0.2, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/8 + 23\/69)*(0 - 8). Let n(c) be the first derivative of 0*c + 5 + 0*c**2 + 1\/2*c**4 + 2\/5*c**5 - s*c**3. Solve n(b) = 0 for b.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*(-1)\/2*2. Let n(p) = -p**3 - 47 + 13*p**2 + 49 - 6*p - 8*p**a. Give n(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 365468843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -127*c - 137*c + 392*c + 19 + 912*c**2 - 140*c. Is n(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + 46\/14*1. Let w = 0.2 - 0. Which is the nearest to w? (a) 0.3 (b) 3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5*q = -4*x + 252, 5*x - 4*q = 420. Suppose -8*f + 21 = -7*f. Calculate the highest common divisor of f and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000001 + 1100110110101011010?\nAnswer: 1100110110100011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 39191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-186)\/1085*(-20)\/(-12)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 - 23*j - 41. Determine m(-20).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8896413 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/3)\/((-1226)\/(-117696))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -27*m**2 + 30859*m + 2286 = 0?\nAnswer: -2\/27, 1143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + 10*q**2 + 71*q + 576. Determine i(-9).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.828193 - 0.137907. Let n = -7 - j. What is n rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (20\/6)\/((-1)\/(-3)). Let b be 1\/5 + 38\/x. Suppose b*y - 1 = -5. Which is bigger: 0 or y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 436 - 242. Let o = l + -193. Let k = 0.1 + -0.3. Which is the nearest to -5? (a) o (b) k (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(2\/3) - (1036 + -2). Let u = 2158 + h. Suppose 5*l + 3*t - u = 0, -5*t = 2*l - 3*t - 450. Does 14 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2141941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1192 or 1193?\nAnswer: 1193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 59, 207, 497, 977, 1695, 2699, 4037?\nAnswer: 5757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q + 1. Let s(t) = 49*t + 280. Let j(i) = -35*b(i) + s(i). What is the remainder when 235 is divided by j(-17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 522263 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-4)\/(-24) + (-50)\/(144900\/(-874))?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - f - 11 = 0, -3*t + 8*t + f = -20. Let r be (-297)\/252 - (-4)\/(-28)*t. Which is the smallest value? (a) -5 (b) 0.05 (c) -6 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2 + 23)\/7)\/(9 - 10). Let y be 99*(0 + -1)*1. What is the tens digit of g\/(y\/(-6)) + 2191\/11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - i - 9. Let n be m(-8). Suppose p + 2*p = -n. Let b = p - -36. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**2 - 24450*g + 14840280.\nAnswer: -5*(g - 546)*(g + 5436)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/17 - (-137316)\/204 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 0.1083, -2\/11, 41.7 in ascending order.\nAnswer: -2\/11, 0.1083, 6, 41.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-23 - -8 - -10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-102)\/10 + (-214820)\/(-23350))*109*1?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 63*m**2 + 203*m + 329. Let j be y(-66). Sort 84, j, 20, 1.\nAnswer: j, 1, 20, 84","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1*(sqrt(26) - sqrt(52)\/sqrt(2)) - (4*sqrt(26)*2 + sqrt(26)))\/((sqrt(18) - sqrt(90)\/sqrt(80)) + (sqrt(144) + -2*sqrt(144))\/sqrt(8)).\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-130)\/18 - 3*(-2)\/27. Let w = m + -6. Which is smaller: w or -10?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(1 - (-2)\/(-8)). Let x(a) = 2*a - 3. Let t be x(4). Suppose 3*p + 9 = -t*s, -p = p - 3*s - 13. Which is bigger: f or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 92*i**2 + 12*i - 21. Is a(11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiieiieii. Give prob of sequence eie.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o - 9*o = -24. Let f(w) = w**2 - 3*w - 4. Let l(b) = 2*b**2 - 7*b - 9. Let t(h) = o*l(h) + 9*f(h). Calculate t(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4544 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: Evaluate (7 - 8\/1) + (133\/(-266))\/(1\/4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*n - 1598*n**2 + 42*n - 12*n in the form o*n**2 + i + t*n and give o.\nAnswer: -1598","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.8 times 1?\nAnswer: 43.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 6086?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6.86124ml?\nAnswer: 0.00686124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*g**2 + 8*g + 3*g - 4*g - 2*g in the form h*g + y + z*g**2 and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w**2 + 17*w + 18. Let f be s(-7). Let g = 0 - -0.5. Which is the third smallest value? (a) 0.2 (b) -6 (c) f (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001 + -10111000110000001111011100?\nAnswer: -10111000110000001111100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1398.\nAnswer: 2, 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88 = 4*c - 5*m + 45, -5*m - 67 = 4*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*((-66)\/8)\/(3\/4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/(-20))\/((-8)\/(-5)). Which is the closest to s? (a) -4 (b) -1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((2*sqrt(65))\/sqrt(5))**2*-4.\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.39144431 to one dp.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 297712733?\nAnswer: 297712733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/10 + 0 + 32508\/105. Let r = -222 + n. What is the remainder when r is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 103 + -94. Suppose 3*v = -3*p - d, -5*v - 2 = 3*p + 7. Let o(l) = -l**3 - l**2 - 2*l + 233. What is the remainder when o(v) is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bov when three letters picked without replacement from oovzbbbbbozbbbozvb.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 20366767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 5*k + 64. Let p be r(-10). Let z(l) = 12*l + 2*l**2 - p*l + 2*l. Let t(o) = -23*o**2. Determine t(z(b)).\nAnswer: -92*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 4*s**2 + s + 5. Give f(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1799 - -1814. Solve -4*o - 9*d + 6*d + l = 0, -1 = -d for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: a250 (base 13) to base 5\nAnswer: 1203443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3*m**2 - 14*m + 13. Let h be t(6). Let b = h + -98. Which is bigger: b or -59?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + 11 + 14 + -31.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 17 - (4 + (4 - 2))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 262193 greater than or equal to 262198?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, x: 1, s: 4, i: 1, w: 3}. Give prob of sequence hww.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 528*h**3 + 5 - 10 + 5.\nAnswer: 528*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(-1\/2)\/d))**(-7\/3)*d**(2\/9)*d**(1\/3) assuming d is positive.\nAnswer: d**(-95\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 56295418187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3917 = -28*j + 14921. What are the prime factors of j?\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232783?\nAnswer: 23, 29, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 5.9. Let i = 1.09955 + p. What is i rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 269641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 10. Let w = m - 1. Let d = -11 + w. What is the smallest value in -0.3, d, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g + 59*g + 559 = 109 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 352867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 6 + (21 - 8).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-18) + (-403)\/(-6). Suppose 4*v - 3*l - 80 = 0, 0 = -3*v + 4*l - 0*l + r. Calculate the remainder when v is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 8*z**2 + 3*z + 4. Is c(4) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -5*g - n + 33, 0 = -3*g + 2*n + 7. Let l(a) = -a**2 + 10*a - 2. Let x(s) = -s**2 + 11*s - 1. Let y(r) = 6*l(r) - 5*x(r). Calculate y(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 3*k - 177 + 31 = 0, -4*v - 2*k + 148 = 0. Suppose 0 = -5*s + 153 - v. Solve d - b + 1 = -d, -5*b + s = -d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/405 and -113\/159462.\nAnswer: 2391930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 9092754?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3278.8034 + -3281.9. Let a = 3.1 + p. Round a to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -6\/3071 and -50\/4329.\nAnswer: 359307","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1742*i**3 + 7*i**2 + 12*i - 7*i - 5*i.\nAnswer: 1742*i**3 + 7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -189*z**2 + 189*z**2 - 80*z**5 + (6*z + z + 0*z)*(-2*z**4 + z**4 + 6*z**4) + (3*z**2 + z**2 - 5*z**2)*(-z**2 + 2*z**3 + z**2) + z**4 - 2*z**5 - z**4.\nAnswer: -49*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6 - ((-4635)\/(-63) + 13)*21\/201. Which is bigger: -3 or c?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2653*u**3 + 19 - 19 + 41*u**3.\nAnswer: 2694*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 91, 157, 267, 421, 619?\n\"Answer: 22*i**2 + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from ccvmmcvmmcccvccmvcc?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-24)\/4 - -5) + 434 + -2. Let r = 625 - m. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = -3*n + 135. Let v = n - 52. What is the highest common factor of v and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23 by 1196015.\nAnswer: -23\/1196015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 1. Let q(r) = -2*r**2 + 2*r - 7. Let k(z) = 3*b(z) + q(z). Let o be k(2). Suppose 0 = -a + o*a - 501. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 4*q**2 + 4*q - 4. Let x be h(1). Solve 0 = -x*y - 10*y + 28 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 36\/450 + (-72)\/(-225). Let o = 3 + 0. Which is the fourth biggest value? (a) -4\/7 (b) l (c) o (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9945 and 16968159?\nAnswer: 1989","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 279 a factor of 20693709?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -7*-8*(-9)\/((-252)\/2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - u - 5*n = 59, 2*u - 42 = 4*n. Let f = u - -6. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3 - 88*g**2 + 673*g + 760.\nAnswer: -(g - 8)*(g + 1)*(g + 95)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158*w + w**3 - 2*w**3 + 118*w - 444*w + 75*w.\nAnswer: -w**3 - 93*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -78*b - 3*b + 53946. Is 9 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54)\/(-3)*(-1226)\/71721.\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 107353 and 5897489?\nAnswer: 3463","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-312 + 312 + 209*f)*(537*f - 537*f - 21*f**2)*(-f - f + f).\nAnswer: 4389*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 318 - 857 + 325 + 9*c**2 + 214.\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/(-48))\/(0 + 2\/12). Let a(s) = 12*s**2 - 2*s + 1. Let y be a(2). Let d = y + w. Is d a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j + 1. Let k(h) = -h**2 + 5*h + 20. Determine k(s) - 5*w(s).\nAnswer: -s**2 + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 715893?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -34 divided by -279\nAnswer: 34\/279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -146644 divided by -2404\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**2 - 164321872*b - 1687604851099024.\nAnswer: -4*(b + 20540234)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 256339*b**3 + 329981?\nAnswer: 769017*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -122*t**2 - 26*t - 27. Let p be y(-1). Let k be p\/12 + 21\/(-28). Let w(g) = -g**3 - 10*g**2 + 11*g. Calculate w(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -1145, 3, 596 in increasing order.\nAnswer: -1145, -29, 3, 596","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -591748 != -593411?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34972.\nAnswer: 2, 7, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*j + 80*j = d + 6, 0 = -3*d - 4*j + 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10898 and 54490?\nAnswer: 54490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3875152 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -5 - -2 - (-8 + 9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 13*s**2 + 9*s + 2. Let w(a) = 9*a**2 + 6*a + 1. Let n(f) = -5*c(f) + 8*w(f). Let y(z) = -3*z**2 - z + 1. Calculate 2*n(v) + 5*y(v).\nAnswer: -v**2 + v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-22)\/3 - 28\/(-21). Calculate the remainder when (5\/1)\/(834\/138 + j) is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d - 235666 = 7447. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.012 take away 4.21?\nAnswer: -4.222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7074 + 7122. Solve 37 = -17*n - q for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -255, 1, 0, 2, -6 in increasing order.\nAnswer: -255, -10, -6, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**(-1\/8)))\/((b\/(((b\/(b*b*b**7*b))\/b)\/b))\/b)*(b\/b**(-10))\/b**(-4) assuming b is positive.\nAnswer: b**(33\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 11*i + 10*i - 13*i. Let q(s) = s. Calculate q(o(d)).\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-210))\/((-34)\/(-24))*14\/(-4)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*y + 12936 + 13383 = -15741. Does 82 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16.6 * -0.4305\nAnswer: -7.1463","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30383 = -498*r - 732*r + 16357 for r.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4}. Give prob of picking 3 c.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 20265.87 decades?\nAnswer: 2026.587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6435 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttittzoiinzyyi. What is prob of sequence ynio?\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 7 + 67. Solve -3*s + 0*s = -k for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.818871 tonnes in milligrams?\nAnswer: 2818871000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 90472?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1804477 or 1804475?\nAnswer: 1804475","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -57*x**3 + 167301*x**2 - 17610*x.\nAnswer: -3*x*(x - 2935)*(19*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = k - 42 - 8, 0 = -2*b - 5*k + 20. What are the prime factors of 398\/b + 14\/70?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1474*x**2 + 50*x**2 - 11162*x + 5577*x + 5585*x.\nAnswer: 1524*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -361 + 777. Suppose -5*m + w = -0*w - s, 2*m - 4*w = 152. Is m a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a centimeter in micrometers?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(51)\/(sqrt(15)\/sqrt(5)))*-1.\nAnswer: -sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -903, -2167, -3321, -4311, -5083, -5583, -5757?\n\"Answer: 9*d**3 + d**2 - 1330*d + 417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 546498 and 9.\nAnswer: 546498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 3*o - 252 = 0. Is 1\/4 - o\/8 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5528, 5894, 6258, 6620, 6980, 7338?\nAnswer: 7694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0046 + 0.037. Round s to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + 2*f - 8. Let h be a(-5). Let k = h + -4. Suppose 5*y + w - 265 = -14, -k*w - 12 = 0. What are the prime factors of y?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*q - 37*q + 2432 = 55*q for q.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 11*d**2 - 11*d + 33. What is the units digit of z(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -4*o + 20, 3*o + 10 = 3*j + 4. Suppose 0 = -3*g + g - j. Which is the biggest value? (a) g (b) 1\/4 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, k: 4, d: 1, w: 9, y: 3}. What is prob of picking 1 d and 3 k?\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -13731 and -0.13.\nAnswer: -13731.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 373 at most 373?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 126*v - 1275. Give w(10).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -135.29 + 140. Let q = -0.21 + i. Let n = q + -0.5. Put n, 3, 2 in increasing order.\nAnswer: 2, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2 - 1\/(12\/(-39984))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 - 2*s**2. Let f be p(2). Let y = f + 18. Factor 1\/2*b**5 - 2*b**4 + 3\/2*b**3 - 2*b + 2*b**y + 0.\nAnswer: b*(b - 2)**2*(b - 1)*(b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 14*x**2 + 12*x - 11. Let a be y(-13). Suppose 14 = 3*d - a*d. Suppose 3*w - 4 = d. Solve -3*t + 15 = -2*i, 0*i + 3*i + 5*t = w for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/25 of a micrometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2079.6 to the nearest ten.\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of v**4\/12 + 4*v**3\/3 + 5*v**2 + v. Let k be (2 - 1)*(-12 - -5). What are the prime factors of s(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7246544?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 b when three letters picked without replacement from {b: 3, v: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2.57 and 2.\nAnswer: 4.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 - u - 1. Let d(h) = -3*h**2 - 6*h - 10. Calculate d(c) - 4*i(c).\nAnswer: c**2 - 2*c - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 351*t - 119*t - 238*t.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -7)\/(9 + -9 + 2\/(-9)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {g: 2, r: 7, i: 5}.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*j + 5*m, -2*m - 6 = -36*j + 39*j. Factor 3\/5*f**2 + 0 + j*f + 3\/5*f**3.\nAnswer: 3*f**2*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + j**2 - j - 1. Let k(w) = 3*w**3 - 4*w**2 + w - 1. Determine 2*f(m) + k(m).\nAnswer: m**3 - 2*m**2 - m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/17 (b) 0.3 (c) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7413393 divided by -6?\nAnswer: 2471131\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*q - 17. Let m be 4\/q + (-38)\/(-14). Suppose -y = -m*y + 56. Is y a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 24 = -0*q. Let c be 8\/3*9\/q. Differentiate -2 - 3 + p + c with respect to p.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -20*x + 19. Let i(n) = 41*n - 39. Let s(a) = 7*h(a) + 3*i(a). Let l(k) = -9*k + 8. Let r(b) = 5*l(b) - 2*s(b). Is r(-6) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4632 - 18414 + 4520 + 4*h + 4632 + 4630.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-91)\/(-26))\/(1\/11). Let s be (-3482)\/88 - (-8)\/(-44). Let m = s + y. Which is the biggest value? (a) 6 (b) m (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*z**2 + 0)*(-z - 2*z + 2*z) - 3*z**2 + 3*z**2 - 4*z**3 + (-4 + 1 + 4)*(2*z**3 - z**3 + 3*z**3)*(-40 + 5 + 5).\nAnswer: -126*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144412?\nAnswer: 2, 79, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 495 and 48?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -38175 - -5191811\/136. Put c, -0.3, 1 in decreasing order.\nAnswer: 1, c, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a**3 + 5*a**4 - 5*a**2 - 26*a + 21*a + 0*a**3 = 0 for a.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 1 = -3*a + 16, 0 = -5*n - 3*a + 15. Suppose n = 2*y - 3*y + 705. Is 12 a factor of y\/20 - (-2)\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -766\nAnswer: 1\/766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 124824 (base 12) to base 11\nAnswer: 19420a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zwpq when four letters picked without replacement from vwqqpzzzzwzzwwzv?\nAnswer: 1\/780","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**3 + 2*w**2 + 16*w - 8.\nAnswer: -2*(w - 2)*(w + 2)*(2*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*p**3 - 4*p**2 - 2*p + 639*p**4 + 4*p**2 - 646*p**4 in the form x*p**3 + s + a*p**4 + i*p**2 + t*p and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4235720 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -257*q. Let z be k(-1). Suppose 0*x - x + z = 0. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 4132*u + 1960*u - 7585*u to t + s*u and give s.\nAnswer: -9757","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {w: 2, v: 18}?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21752381?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3850 + 3849.998287. Round x to four decimal places.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13520*c**2 - 15959320*c - 4709687405.\nAnswer: -5*(52*c + 30691)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(2\/(-4)*6). Suppose k = 4*c + 3*f - f - 48, 4*c + 4*f = 40. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 - 2*9\/6. Suppose u = -4*h + 2*y + 18, -4*h = h - y - 27. Calculate the highest common factor of h and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.4 (b) 3 (c) 1\/7 (d) -7888 (e) 0 (f) -2\/5 (g) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 4*j + 1 = 25, -5*j = -3*q + 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - y = 14, 2676488*y - 2676490*y - 18 = -5*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (10\/16)\/((-14)\/(-78) - (11 - 4785\/429))\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -6*f - 6. Let y be x(-4). Let a be (-2 + 966\/24*1)\/((-27)\/(-36)). Calculate the remainder when 105 is divided by 3\/(-2)*(-17)\/a*y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(308)\/(-1*sqrt(11)))\/(sqrt(80)\/sqrt(5)).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -101\/11, -2\/23, 0.042, -1, 7?\nAnswer: 0.042","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/(-4)*(-17)\/(-10) - 4. What is the closest to 3\/5 in -5, t, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 2)*(4*f**2 + 0*f**2 + 2*f**2)*(-1 + 1 + 3*f).\nAnswer: 72*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32584 is divided by 21.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**5\/7 + 268197*h**4\/7 - 17978786468*h**3\/7 - 485630280960*h**2\/7 + 71944114176*h = 0 for h.\nAnswer: -28, 0, 1, 134112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = 4*b + 24, 3*b - v - 2 + 10 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113 is divided by -5 - -213*(-3)\/(-9).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-27)*f)\/(f*f\/(f*f*(f**(-1\/11)\/f*f*f)\/f*f))*(f*(f\/f**(13\/3))\/f)\/(f**(-1\/11)*f) assuming f is positive.\nAnswer: f**(-88\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-35 - 2422\/(-70)) + 97\/(-120) and 2\/(-10) - 23\/(-160)?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1239?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 3*m = 10, -2*n - 2 - 2 = -3*m for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 45831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -10*((10 - 6) + (0 - 6)). Solve -11*j + b = -16*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*y**2 + 28402 + 28868 - 58044.\nAnswer: 19*y**2 - 774","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k**3 - 3*k**3 + k**4 + (2*k**2 - 3*k**2 + 5*k**2)*(-2*k**2 - 2*k**2 + 3*k**2).\nAnswer: -3*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 - 0)*952\/(-280). Let m(x) = x + 23. Determine m(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10.1 and 4.\nAnswer: -40.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*g**3 + 38*g**3 - 106*g**3 - 2*g + 37*g**3 - 97*g**2.\nAnswer: 2*g**3 - 97*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 192*o + 2 = -194*o, 53 = -2*q + 19*o for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5345399?\nAnswer: 107, 49957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 2*t + 19 - 5 = 0, 5*s = 3*t + 5 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 54*n**2 + 614*n + 3561. Calculate v(-6).\nAnswer: 1821","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.18 - 2410822.5.\nAnswer: -2410819.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 16 - 272?\nAnswer: -256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1432210 rounded to the nearest one thousand?\nAnswer: 1432000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1251, 10083, 34093, 80871, 158007?\nAnswer: 273091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 6*u. Let y(r) = 0*r - 2*r + 3*r. Let o(l) = -c(l) + 4*y(l). Let n(k) = -k**2. Give n(o(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -69.5 + 70. Let g = 1.3 + -13.3. Let r = 11.7 + g. Which is the third biggest value? (a) j (b) r (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3871 in -1\/3, -12\/773, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 69 and 10?\nAnswer: 690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/3)\/((-1)\/3). Suppose 3*c = 7 - i. Suppose -g + 13 = -5*q, 0 = g - 3*g - 4*q - 2. Solve c*l - 3 = g*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -2\/15 (b) 1 (c) -26 (d) -2\/121\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 3*b + 2*f + 6*f, 0 = 6*f - 13*f + 11*f for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) -3\/8 (b) -8 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-5)\/(x**21\/x)*(x**(-5))**19 assuming x is positive.\nAnswer: x**(-120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7021 = 20*j + 5*j - 6254. What is the greatest common factor of 1416 and j?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 31.\nAnswer: 9.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, 12181, -5, -3 in increasing order.\nAnswer: -41, -5, -3, 12181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of -f**7\/630 + f**6\/40 - 13*f**5\/180 - 5*f**4\/8 + 25*f**3\/9 + 73*f**2. Find z, given that d(z) = 0.\nAnswer: -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*i**2 - 54*i**2 + 81*i**2 + 11*i**2.\nAnswer: 121*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 447098?\nAnswer: 2, 223549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.08917737 to three dps.\nAnswer: 0.089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -133023, -133138, -133253, -133368?\n\"Answer: -115*c - 132908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7102438 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -7 - ((-7 - (6 + -3)) + 3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2933.224 + 2944. What is y rounded to 1 dp?\nAnswer: 10.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9196)\/(-20691))\/((-1)\/9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 99 and 34875027?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 11185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 92\/(-3) + 782 + -761\nAnswer: -29\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 948*z + 939*z - 1875*z.\nAnswer: 12*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 876548?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13930233 divided by 3.\nAnswer: -4643411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -17 + 1 + 31 + (15 - 120 - -9)\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - 6*f - 4. Let i be j(-2). Is i less than or equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -122*r**3 - 11*r + 3. Let g(w) = -244*w**3 + w**2 - 23*w + 5. Let l(j) = 3*g(j) - 5*s(j). Find the third derivative of l(b) wrt b.\nAnswer: -732","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 3:42 PM?\nAnswer: 11:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(2\/11))**(-23))**42)**(-2\/21) assuming m is positive.\nAnswer: m**(184\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1)*p\/p**(-3)*((p\/p**(-2))\/p)\/p*p**(-2\/9)*p\/(((p\/(p*p\/((p**(-6\/11)\/p)\/p*p)*p))\/p)\/p)*p**(-2\/11)*p**6*(p*p**6)\/p assuming p is positive.\nAnswer: p**(2192\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(242) + sqrt(242)*-2 + 2 - (-4 + sqrt(242) + 1*sqrt(242) + sqrt(242) + sqrt(242))) + 0)**2.\nAnswer: -110*sqrt(2) + 6051","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 - 2)*(-1 + 13 - 1)*((0*k - k + 2*k)*(-1 + 4 - 5) - 2*k - 2*k + 2*k - 3*k + k + 0*k).\nAnswer: 264*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 50 and 210?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12600524?\nAnswer: 2, 3150131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -762*u + 3299. What is the hundreds digit of k(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 - -5. Let t = -5 - r. Calculate the smallest common multiple of 20 and t.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.443921 to three decimal places.\nAnswer: -0.444","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/8 of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a meter in centimeters?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11 + 13 + 24 + -11 + -91 + 17\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4454.\nAnswer: 2, 17, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 6*k**2 - 7*k + 5. Let v be f(7). Which is the third smallest value? (a) -5 (b) -1\/11 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 11*g = -0*m + 3*m, -13*g + 2*m = -17*g + 16 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00039625 rounded to 6 dps?\nAnswer: 0.000396","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) 207 (c) 1\/7 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -4. Let n be u\/(-4) + (-36)\/(-8). Let j = n + -1. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/16 and (-767)\/(-5368) + (-9)\/(-198)*-4.\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vzvkhvvllvhzs. Give prob of sequence zshv.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 53, 383, 977, 1841, 2981, 4403?\n\"Answer: w**3 + 126*w**2 - 55*w - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + h**2 - 5. Let a be c(0). Let j be -3 - (a\/3 + -2). Which is greater: j or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1261.743 and -33?\nAnswer: -41637.519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 + 26. Suppose 10 + i = -4*j + 5*f, -4*f + 22 = -5*j. Put 2, 0, j in decreasing order.\nAnswer: 2, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -42 - 44*d + 12 + 92*d - 41*d wrt d?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 77*s + 6370. Give m(-83).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17880 and 3512640.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + 7299c?\nAnswer: 729a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 4. Suppose 2*f + 0*f - 6 = 0. Suppose -p - f*g - 2*g - 19 = 0, 2*p + w*g + 8 = 0. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**5\/2 - 38*v**4 - 675*v**3 + 2106*v**2 + 22815*v\/2 = 0 for v.\nAnswer: -39, -3, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 363076?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + u + 93 = 0, 0*t + 2*u = -t + 12. Suppose 4*l = 34 + t. Suppose -2*z + 91 = -l. Does 31 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 16 = 4*q - 3*q, -7 = -q - c. Let y = q + -6. Solve -14 = -2*t + y*f - 0, -5*t + 5*f = -15 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-76)\/(-198) - 58\/(14036\/66).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 2*i**2 + 42*i + 109. Calculate l(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*j - 24*j + 3231. Calculate the remainder when j is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**4 - 2*w**3 - 2*w**2. Let q(u) = 2*u**4 + 3*u**3 + 3*u**2. Let f(i) = 2*q(i) + 3*t(i). Determine r so that f(r) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2b9a (base 12) in base 8?\nAnswer: -12046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 5. Suppose -p - 2 = -v*p. Suppose 0 = 4*k + p - 18. Is k even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a day in hours?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.48386 millilitres in litres?\nAnswer: 0.03448386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -2 - (3 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*v + 5*v - 3*v)*(0 + 2 - 3) + 2*v + 2*v - 3*v + (1 + 2 - 2)*(-2*v + 2*v - 2*v).\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2052)\/16)\/(-9)*-4. Let i = t - -60. What is the third derivative of -4*h**2 - 79 + 157 - 78 + i*h**3 wrt h?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25\/1425)\/((-5)\/10).\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*y**5 + 3*y**5 - 26*y**5 + (3*y**2 - y**2 + 0*y**2)*(-2*y**2 + 2*y**2 + 2*y**3) + (-y**2 + y + y**2 - 4*y**2)*(5*y**3 + 2*y**3 - 5*y**3).\nAnswer: -13*y**5 + 2*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of 4 - 1\/2*j**2 + 8*j**4 + 0*j**3 + 0*j. What is the second derivative of c(b) wrt b?\nAnswer: 192*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 119.5271366 to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + ((-28)\/(-1))\/(-2). Let g = z - -17. Solve -g*q + 2*q = h - 11, -10 = 4*h - 2*q for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.02 and -385.34.\nAnswer: 7.7068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -46329*x**5 + 149*x**2 - 10*x**3 + 241*x**2 + 46334*x**5 wrt x.\nAnswer: 300*x**2 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + (3 + (2 - 1) - 9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3740 is divided by 434.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of r**5\/20 + r**4\/12 - r**3\/6 + 7*r**2\/2 - 5*r. Let t be i(3). What is the greatest common factor of 16 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16029 + -15954. Solve -185 = -38*v + w*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 12:48 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - 4*b + 3*b)*((6 + 6 - 21)*(-b**3 + 6*b**3 - 4*b**3) - 8*b**3 + 11*b**3 - 10*b**3).\nAnswer: 32*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 - 25. Suppose -60 = 11*a + 4*a. What is the second smallest value in -0.4, q, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.154287917 to two dps.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42227?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26631258 is divided by 532625?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = d - q, -3*d + 6*d + 4*q + 10 = 0. Let h be (-56)\/(-26) - 3\/((-39)\/(-2)). Let n be 6\/(-5)*15\/6. Put n, h, d in decreasing order.\nAnswer: h, d, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5799113 to the nearest integer?\nAnswer: 2408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -2043?\nAnswer: 2052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tgtt when four letters picked without replacement from {t: 6, g: 7, u: 1, q: 2, h: 2}.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -5*r - 10. Let l be i(-4). Calculate the greatest common divisor of l and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 6*v**2 - v + 7. Let b be (-12)\/2*(-10)\/3. Let d be 64\/10 - b\/50. What is the units digit of p(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(152)\/sqrt(100))\/(sqrt(50) + -6*sqrt(150)\/sqrt(3)))**2.\nAnswer: 19\/15625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + 333 + -364 + (-17 - -3).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (44\/70)\/((-80)\/(-18400)*253).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/15*-6 + 34\/(-170). Which is the biggest value? (a) 0.3 (b) -0.4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 141*n + 5760. Let j be x(-40). Solve -5*d = -20*d + j for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 528000 and 14.\nAnswer: 3696000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2125 - -7777. Does 36 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 - 3)*(4*o - 3*o + o**2 - 3*o**2) + (24 - 4*o - 24)*(-o + 7*o + 0*o).\nAnswer: -28*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5903 (b) -16.58 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3054\/11 - -279. Calculate the common denominator of (-2)\/(-4) - 273\/(-24) and d.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -2*i + 4. Suppose 2*h = -0*h - i*b + 30, -b + 3 = 0. Let l be 3\/(22\/8 - 2). What is the greatest common divisor of h and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -40 + 45. Let l(q) be the second derivative of 0 - 2*q**3 + 3\/2*q**4 - 2\/5*q**f + q**2 - 2*q. Factor l(a).\nAnswer: -2*(a - 1)**2*(4*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of -145*x**6\/6 + 5*x**4\/12 + x**3\/6 - 62*x**2 + 519*x. What is the third derivative of l(t) wrt t?\nAnswer: -17400*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -j**4\/24 - j**3\/2 + j**2. Let c be u(-6). Differentiate 3*v**2 + v**3 + 0*v**c + 3 - 3*v**2 with respect to v.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5445470 (base 8) in base 4?\nAnswer: 11210230320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**2 + o. Suppose -5*d + 10*d - 5 = 0. Let i be t(d). Solve 4*w = m + 17, 2 = 2*w + i*m - 17 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t = 5*t - 15. Let d = t - -4. What is the closest to 0.1 in 0.3, d, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, l: 4, n: 5}. Give prob of picking 2 n.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 7*k**2 + 4 + 0 as n + y*k**2 + f*k and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/9)\/((-5)\/(-15)). Let n be 6\/15 + 8\/5. Let r(u) = u**2 + 6*u - 2. Let v be r(-6). Sort q, v, n in increasing order.\nAnswer: v, q, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 17*k**2 - 3*k - 28. Let b(l) = 3*l**2. Give a(b(y)).\nAnswer: 153*y**4 - 9*y**2 - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of -v**6\/15 - 3*v**5\/10 - v**4\/6 + v**3 + 2*v**2 + 19*v. Factor c(m).\nAnswer: -2*(m - 1)*(m + 1)**2*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 150 and 58820100.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -2.2. Let o = -1150 + 2283. Let k = o - 1133.1. What is the third smallest value in k, g, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s - 3. Let v be l(-4). Suppose -4*c - 3*d + 1 = -3*c, 0 = d + v. Let n(z) = z + z**2 + 0*z**3 - c*z**3 + 1 + z**3. Give n(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1352 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of -521*t**6\/60 + 803*t**3\/6 + 51*t**2 - 7. Find the first derivative of n(s) wrt s.\nAnswer: -3126*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -6*p**3 + 12*p**2 - 10*p - 5. Let j(i) = 5*i**3 - 12*i**2 + 10*i + 6. Let v(l) = -5*j(l) - 4*m(l). Let b be v(11). Solve 0 = -c + 4 - b for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v**3 - 3*v**2 + 4*v - 54. Determine w(4).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*z**2 + 28*z**2 - 14*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44746922*g**3 - 193471596*g**2 wrt g?\nAnswer: 268481532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 9:20 PM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x + 123 = 1091. Suppose 5*a - 5*h = 460, -a + 2*h = -h - x. Does 51 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1173 - -0.1173. Sort -0.02, p, 23.\nAnswer: -0.02, p, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 + 3*a + 1. Let h be (-6)\/(-2)*2\/3. Let x be 2 - h - (1 + -15). Let m = x - 9. What is s(m)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 646 - 647.2. What is the closest to w in 0.3, 2\/7, 3\/5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11195 is divided by 606.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.363 to 1 dp.\nAnswer: -3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 64 - -40. Let n = h + -105. What is the closest to n in -18, 0.3, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/96812130 and -41\/30.\nAnswer: 96812130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1959 (base 11) to base 2\nAnswer: -100110110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of -581*d**6\/15 - 457*d**4\/4 + 1586*d. What is the third derivative of p(c) wrt c?\nAnswer: -27888*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, -176 in descending order.\nAnswer: -3, -5, -176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 19831 and 9439556?\nAnswer: 9439556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/70 and (-10)\/(2800\/(-2292)) - 7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 344 is divided by 328?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r**2 - 35*r - 24. Let y(w) = w**2 + 12*w + 8. Let m(i) = 4*s(i) + 11*y(i). Determine m(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 46 + 44 = -20*f. Sort -6, 35, 1, 5, f in increasing order.\nAnswer: -6, f, 1, 5, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 630?\nAnswer: -631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 12:52 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 649468521?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/11))**(-4\/9)*g*g**11*g**(-6))**28 assuming g is positive.\nAnswer: g**(16856\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -15*d + 5. Let r(u) = 2 - 9 + 4 - 8*u + 9 - 3. What is -3*k(c) + 5*r(c)?\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 6*j - 1. Let b be f(1). Suppose 4*c = -4*z + 324, 2*c - 7*c = -b*z + 425. What are the prime factors of z?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 68*w + 2*w**2 - 139*w + w**3 + 74*w + 0*w**3 - 183 to the form d*w + p + m*w**3 + y*w**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-62*16\/(-744))\/(2\/(-36))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 48731 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 1 + 5)*(-4*m + m + m)*(-1 - 1 + 4 + (-1 + 3 - 4)*(2 + 0 - 4)).\nAnswer: 36*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-3))\/(1533\/657).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1614528*g**2*r**2 + 8*g*r**2 + 2*g*r - 15*g + r**2 + 41*r wrt g?\nAnswer: 3229056*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 22 = -20*w, -679*w + 77 = 7*u - 683*w for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, p: 3, n: 6}. What is prob of sequence nn?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5921 - -17990.\nAnswer: 23911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 239596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-52)\/(-221))\/((2 - 3)\/(-5*10\/(-50)))\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -8*y - 0*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/111, 4\/7, 2\/9 in increasing order.\nAnswer: 2\/111, 2\/9, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.6 - -123.8. Round r to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2 - 2 - (-8322 + -55).\nAnswer: 8377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 5.04. Let x = v - 0.06. Which is smaller: -1\/2 or x?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -110001011010?\nAnswer: -110001011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1001010000000 (base 2) to base 6\nAnswer: 33532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7, c: 12}. Give prob of picking 1 c and 1 e.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6441180 and 1200?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.70385 and -2.8?\nAnswer: -1.97078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 57 + 50 + -51 + (-8 - (2 - 5))\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = 5*c + j + 13, 0 = 4*c - 3*j - 55. Suppose -2*g + c = -3*g. Let a = 37 + g. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21888\/(-24192))\/(12\/63).\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + 0 - 0\/(5 - 13). Suppose 1 = -m*y + 1. Solve y = -4*n + 4*i, -6*i + i = 15 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36275761\/37 + 980426. Let k be 1\/(-1) - -3 - -3. Which is the second biggest value? (a) 2\/17 (b) k (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (47656\/84)\/74*-3?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + -9 - -8) + (-1 - 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u**2 - 5*u + 2. Let x(i) = -i**3 + 2*i**2 + 2*i - 1. Let v be x(2). What is the tens digit of q(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11120121121210 (base 3) to base 9.\nAnswer: -4517553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-1\/42)*s\/s**(-12) assuming s is positive.\nAnswer: s**(545\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 20 = 4*i, 2*i + 2*i + 5*r = 20. Suppose 0*k = -k, -5*u - i*k = 210. Let o = 45 + u. Is -2 less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 1:19 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.77623 litres in millilitres?\nAnswer: 25776.23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 445*s**3 - 207759370*s + 207759370*s.\nAnswer: 445*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*c - 19*c + 6*c - 18*c to z + u*c and give u.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -45997, -45962, -45929, -45898, -45869?\n\"Answer: -f**2 + 38*f - 46034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 4*k - 1. Let m be a(1). Suppose -m*l = -y - 108, y = -4*l - 4*y + 125. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(21) - -1*sqrt(21)))\/(5*sqrt(63)) + -4 - (-2*(sqrt(147) - sqrt(147)*2) + sqrt(3) + sqrt(192)\/sqrt(4) + sqrt(48) + 5)**2.\nAnswer: -1616 - 688*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/3))**8\/(p**0)**(-14) assuming p is positive.\nAnswer: p**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17054 is divided by 611?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 2*o = -18, -4*o - 21 = 2*a + o. Let g be (-16)\/(-6)*3\/a. Calculate the greatest common divisor of 8 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/5))**(-2\/121)\/(d\/(((d*d*d*d**(-7))\/d)\/d)*d**(-2\/9))*(d**(1\/7)*d**(3\/7))**(7\/9) assuming d is positive.\nAnswer: d**(-11483\/1815)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u**2 + 5*u**2 - u**2)*(-63 - 27*u**3 - 12 + 71 + 95*u**3).\nAnswer: -68*u**5 + 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.034 + 0.066. Let b = 347 + -348. What is the closest to s in b, 2, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*d - 32*d = 336*d + 6510 for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47\/4, -1, 3, 26.\nAnswer: -1, 3, 47\/4, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 62990558?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -23 + 3 + -3 + (68 - (-19 + 77))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 153\/102*4\/(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.03 + 10.03. Let v = n - 9.5. What is the smallest value in 0, -4, v?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105295588?\nAnswer: 2, 26323897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2122 - -2184. Sort -3, -4, 10, 5, o in descending order.\nAnswer: o, 10, 5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1281935?\nAnswer: 5, 83, 3089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -71, -186, -399, -740, -1239, -1926, -2831?\nAnswer: -3984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 992 + -759. Which is greater: a or -4\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18.86 + 19. Let p = 0.24 - t. Which is smaller: p or 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3*d + 5*d + 2*d. Give a(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + (sqrt(5) - sqrt(180)*3 - sqrt(5))).\nAnswer: -72*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59.976 + -61. Let s = 0.024 + h. What is the second smallest value in s, 40, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a hour in seconds?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9143031 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43550633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.04, -5, -2\/11, 4\/5, -2?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from ggswugugpusscs?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 177 divided by -59.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2927?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - -11 - (3 + -2 + 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -6. Suppose -2*a - a + o = -401, f*a - 526 = -3*o. Is a a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -515415524201 - -3?\nAnswer: -515415524154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -21807, -34346, -46885, -59424, -71963, -84502?\n\"Answer: -12539*h - 9268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 23.1\nAnswer: 23.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -9*n**3 - 4*n**2 + 7*n + 17. Let x(s) = 3*s**3 + s**2 - 2*s - 6. Let a = -34944 - -34937. Determine a*x(h) - 2*z(h).\nAnswer: -3*h**3 + h**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x - 1 + 2 + 0*x. Let o be j(-3). Differentiate t**o + 3*t**4 - 2 - 2*t**4 wrt t.\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000037540323 to 7 dps.\nAnswer: -0.0000375","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11*t**2 - 1035*t - 77079 wrt t?\nAnswer: -22*t - 1035","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -5*r**3 - 4*r**2 - 2*r + 1. Let z(q) = 4*q**3 + 4*q**2 + q - 1. Let k(j) = -3*h(j) - 4*z(j). Let s be (1 - -1)\/(-2) - 3. Calculate k(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -676, -659, -624, -565, -476, -351, -184?\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -14 (b) 0 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of -4*p**7\/21 - p**6\/15 + 35*p**4\/6 - 23*p. What is the third derivative of j(m) wrt m?\nAnswer: -480*m**2 - 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 7*c - 178. What is the derivative of -1 + c + 17*d**2 - 7 - 8 wrt d?\nAnswer: 34*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1160 is divided by 80?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 6*y - 4*y + 2, -2 = l - 2*y. Find the second derivative of 2*r**3 - 2*r**3 - 7*r + 6*r**l - 5*r wrt r.\nAnswer: 72*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -618 = 2*c - 608. Let x(v) = 6*v. Let b(j) = -2*j. Suppose -23 = -9*g - 149. What is c*x(s) + g*b(s)?\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-786)\/(-78) - (-16)\/(-208)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 70, -4, 4\/3, 0.3.\nAnswer: -4, 0.3, 4\/3, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-20)\/90 + 1\/(-9)*-2. Suppose -23 - 12 = 5*z. Do z and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**2 + 12*o - 799. Determine l(17).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 6\/5*u**2 - 4\/5 = 0 for u.\nAnswer: -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 68 - 77. Let g(q) = -q**3 + q**2 + 10*q - 19. Is g(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of -i**5\/20 + i**4\/12 - i**3\/3 - 3*i**2 + 5*i. Calculate the remainder when a(-2) is divided by -4*(-1*2 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 12*i**2. Let p(c) = -2*c + 1. Let b(r) = 4. Let w(u) = -1. Let l(x) = -b(x) - 5*w(x). Let f(y) = l(y) - p(y). Determine n(f(h)).\nAnswer: 48*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-18)\/(-117) + (8200\/104 - 9). Let i(n) = -2*n**3 - 3*n**2 + 1. Let c be i(-3). Calculate the highest common divisor of f and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 11*k - 24. Let v be x(13). Suppose h - 3*n = 8, 0 = n + 3 - 1. Suppose 15 = -h*f + 7*f. Solve v*q - f*d = 7, 2*d + 9 = -d for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 984940 and 638880.\nAnswer: 23638560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dqzddlqzddddlzqdd. What is prob of sequence ll?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 5*g = 25, -g - 5 + 0 = -3*i. Which is the closest to i? (a) 5 (b) 1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -34899*m + 1619. Is z(-16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4723 (base 9) to base 15.\nAnswer: -1089","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -295 - -295. Suppose 2*u + 5*z + 25 = 6*u, -2*u - 5*z + 5 = 0. Suppose 2*m - 3*r - 3 + 0 = w, u = -5*r. Solve 19 = a + 4*h - m*h, 0 = 3*h - 12 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2\/7, 66, -2 in increasing order.\nAnswer: -2, 2\/7, 1, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -205.9 - -202. Sort 7\/2, p, -2\/7.\nAnswer: p, -2\/7, 7\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 359*d - 361*d + 5 in the form j + l*d and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 PM and 2:45 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42 - 33. Suppose -10*i = -m*i + 10. Let v = 34 + i. Is v a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/((-1)\/(5\/(-2))). Let b(q) = q**2 + q - 1. Let r(n) = 2*n**2 - 3*n - 1. Let m(d) = -3*b(d) + r(d). What is the units digit of m(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**3 - 1055*s**2 - 13050*s - 35640.\nAnswer: -5*(s + 4)*(s + 9)*(s + 198)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - (0 + 8 + -5).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -o**5\/100 + o**4\/6 - 3*o**3\/10 - o - 77. Factor b(y).\nAnswer: -y*(y - 9)*(y - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p - 7*p**2 - 13*p + 9*p.\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 74 + -18. Let b = 5539 + -5536. Differentiate -40 + f*n**2 - 22*n**3 - 18*n**b - 56*n**2 with respect to n.\nAnswer: -120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 54, -31, -172, -369, -622?\n\"Answer: -28*s**2 - s + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -29. Suppose -3*q + n = 5*i - 0*q, 3*q = 4*i. Suppose -i*o + 29 = -10. What is the highest common factor of o and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.2 (b) -1 (c) 8 (d) -5\/4 (e) 2\/13 (f) 6\/443\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (12 - 30 - -2).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13480\/957 or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 161? (a) 6 (b) 5 (c) -2.09 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -23*j - 57 - 8*j + 7*j. Let g be -14 + ((-4)\/5)\/((-2)\/15). What is the tens digit of c(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-20)\/30)\/((-6)\/7767).\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c - 1. Let x be w(1). Let m be (x\/(-6))\/(6\/81). Let i = 15 - m. 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: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of 4*p**4\/3 + 1133*p. Let y(x) be the third derivative of x**4\/12 + x**2. Calculate c(y(m)).\nAnswer: 64*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45283.\nAnswer: 7, 6469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -228\/5, -9\/5, -2\/5, 6, -2\/13, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2311040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-4) + 17187\/4718*7\/2\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 347455647?\nAnswer: 3, 7, 11, 179, 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 262?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w - 1882 - 2588. Let o(m) = -2*m**3 - 2*m**2 + m + 2. Let s be o(-3). What is the units digit of 2\/(-7) - w\/s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20155 + 1?\nAnswer: 20200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33\/53 + -1051\/1007. Is i not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -373 + 373. Let y be (-8)\/((-1)\/(-2)*-2). Let p = y + b. What is the remainder when p is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 25 = -2*o. What are the prime factors of ((-20)\/(-8))\/o*-118?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 13. Let u be (-84)\/(-15)*15\/(-6). Let k = w - u. Which is the second smallest value? (a) 3 (b) 1\/5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 320 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22842 - 22507. Calculate the remainder when 2336 is divided by j.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -8\/7 (c) 1 (d) -0.04 (e) 2\/35 (f) -2\/9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of -t**8\/392 - 43*t**7\/735 - 197*t**6\/420 - 313*t**5\/210 - 16*t**4\/7 - 12*t**3\/7 + 6*t**2 - 2*t. Solve g(a) = 0 for a.\nAnswer: -6, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 times 629893\nAnswer: -8818502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -343406090*f**2 + 203138934 wrt f.\nAnswer: -686812180*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.54058 - -0.54. Round c to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 89, -1.8, 120?\nAnswer: 89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -19*t - 25. Let g(y) = 15*y + 20. Let k(d) = -5*g(d) - 4*j(d). Let w(u) = -12*u**2 + 2*u - 6*u**2 + 2*u**2 - 7*u**2. Calculate w(k(q)).\nAnswer: -23*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -128 + 128. Suppose -5*l + 1628 - 688 = z. Let t(k) = k**3 + k**2 - k + 19. Calculate the remainder when l is divided by t(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -26*p**2. Let s(z) = -81*z**2. Give c(s(m)).\nAnswer: -170586*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a microsecond in nanoseconds?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 1:23 AM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/(-63)*18\/30?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y + 45 = 7*y - 0*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 91939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 3:21 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1943, -1930, -1913, -1898, -1891, -1898, -1925, -1978?\nAnswer: -2063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1948 + -1962.2. Is -1 equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 372578404 to the nearest integer?\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 3)*(-2 + 2 + 3 - 2 - 1 + 5 + (-2 + 1 + 0)*(0 + 2 - 1) - 409 - 31 - 154)*(-3*b + 4*b - 3*b).\nAnswer: 2360*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 11:54 PM?\nAnswer: 11:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 120103 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 8:12 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 655940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/5)\/(y*y*y*y**(-2\/9)*y))\/((y*(y**4\/y)\/y)\/(y*y\/y**(3\/2)))*y**7*y**(1\/7)*(y**(-2\/7))**(-24) assuming y is positive.\nAnswer: y**(731\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4641 by 3.\nAnswer: -1547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = 2*r + 41, 44*z = -4*r + 45*z - 27 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -319, 5, 207, -8, 1, -3 in increasing order.\nAnswer: -319, -8, -3, 1, 5, 207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**4 - 3 + 2*j**4 + 1 + (-2 + 2 + 2)*(j**4 + j**4 + 0*j**4) - 4*j**4 + 3*j**4 + 2*j**4.\nAnswer: 6*j**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-68*t - 1065 + 1065)*(0 + 1 + 1) as k*t + b and give k.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 230*p = 247*p - 136. What is the highest common factor of 488 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by 10417\nAnswer: 1\/947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 35410393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/21)*q*q*q)\/(q**(-5\/12)\/q))**(13\/5) assuming q is positive.\nAnswer: q**(4771\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -11*z - 26. Let c be f(-4). Suppose 6 = -2*p + 2*s + 90, 4*s = 3*p - 122. Let d = c + p. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*s + 378*s**3 - 16*s - 348*s**3 wrt s?\nAnswer: 180*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/18 and (-1)\/4 - (-6)\/(-2).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 + 2 - -8) + -3. Suppose x*m + 16 = 124. What is the remainder when 107 is divided by m?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*n + n - 3*n)*(-5 - 13 - 6)*(-35 - 39 + 66) to m + u*n and give u.\nAnswer: 576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 12:21 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*k - 5, 2*f + 3*k - 775 = 0. List the prime factors of 40\/f + 37840\/76 + 3.\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 175.02 - 3.12. Let k = y + -172. What is the closest to -4 in k, 1, 3\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172955 to the power of 1\/2, to the nearest integer?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2630 is divided by 507?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5163.999974252 - 5164. Round u to six decimal places.\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13210801.\nAnswer: 13210801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -27, 5 in increasing order.\nAnswer: -27, -4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 PM and 12:55 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q = 33*q - 25848. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 86 + -75. Suppose 0 = 4*z - 2*j + 5*j - 179, 0 = 4*z - 4*j - 172. Calculate the greatest common factor of q and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-4)*2)\/1*221*630\/2142.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 458442?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that m**2\/6 - 4*m = 0.\nAnswer: 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -9.1 and 0.032.\nAnswer: -9.068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 9*f**2 - 14*f. Let s be r(-7). Suppose s*x - 170 = -x. Let b = -121 + x. What is the highest common factor of b and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10814454 (base 9) to base 4.\nAnswer: -110011130323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -72b?\nAnswer: -727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33291402 + -356893781. Let m = c + 390185172.00000065. Let q = m - -11. What is q rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -17771, -35544, -53315, -71084, -88851, -106616?\n\"Answer: k**2 - 17776*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 282682?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**(-1\/4))**(-29\/4)*(i\/(i*i**(-5\/3)\/i*i*i)*i)\/(i*i*i**(-1\/3)) assuming i is positive.\nAnswer: i**(-203\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -948 - -933.5. Which is the nearest to -1\/3? (a) 4 (b) d (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2. Let l(q) = -9*q + 3. Let t(i) = 8*i - 2. Let w(g) = 6*l(g) + 9*t(g). What is u(w(c))?\nAnswer: -324*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 5)*(1 + 11 - 7 + (3 + 3 - 4)*(1 + 2 - 1))*(-158*o**2 - 158*o**2 - 6*o**3 - 2*o + 315*o**2).\nAnswer: -108*o**3 - 18*o**2 - 36*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/(8\/(-2745)) - (-5 - -7). Let i = -1388 - k. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1654515 rounded to three decimal places?\nAnswer: 0.165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 55 and 3800.\nAnswer: 41800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -298 and 0.01953.\nAnswer: -5.81994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -3, -2\/19, -5\/4, 2\/143, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 243 and 585?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*-1*(-2)\/16. Let m(y) be the third derivative of -2\/3*y**3 - 1\/30*y**5 - i*y**4 + y**2 + 0 + 0*y. Factor m(z).\nAnswer: -2*(z + 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -21 - (150 + -142).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.1, 0.5, -1520, -3\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 3 - (-1 + 7 - -10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + 9 + 9 + 4 + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**3\/11 - 7468*c**2\/11 - 6971378*c\/11 = 0 for c.\nAnswer: -1867, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41039 + -14276. Let m = g - 9236. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/160 and 11\/8.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -594 - 6*j**2 - j**2 + j**2 + 205 + 191 + 201.\nAnswer: -6*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + (-4)\/(36\/21). Let i = -0.5 + 0.2. Sort i, 4, q in descending order.\nAnswer: 4, i, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j + 59 - 95 = 0 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 40488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2063, -5339, -10803, -18455, -28295, -40323?\nAnswer: -54539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -9\/8, 2\/23, 0.02, -3, 0.2, -1 in ascending order.\nAnswer: -3, -9\/8, -1, 0.02, 2\/23, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/650*26)\/(3\/((-135)\/(-2))).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 12:19 AM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1655028 is divided by 57069.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-51)\/6*-1 + (-15 + 28 + -32 - -14)\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2835\/4 - -20113\/28. Let q be -3 - (818\/(-84) + -2). Let i = h - q. Calculate the common denominator of i and -79\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6116373?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001233266899 to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22478152 to the nearest integer?\nAnswer: 4741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 26*q + 4111 - 4111. Let s(w) = 50*w. Determine s(i(z)).\nAnswer: 1300*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p - p = -44 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 a factor of 1091714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -64, -4, 5 in increasing order.\nAnswer: -64, -5, -4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*v + 6*v. Is (8526\/(-7))\/(-3) - (-1 + v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/2)\/(93\/(-4278))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 33 = -5*p, -k - 30 = -15*p + 11*p for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 - 7*t + 3. Let z be f(-7). Let r = z - -2. Let x = -0.23 - 0.17. Which is the third smallest value? (a) r (b) x (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/4 + (-1)\/1. Let u be (f - 24) + (-1 - -1). Let o = -4 - u. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153 is divided by 78?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - l + 8 = 4*l, -16 = -4*l. Solve 4*a + 31 = -5*g, y*a + 13 = 2*a - 3*g for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2147.3 - -2169. What is the third biggest value in q, -2\/19, 3, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1982 is divided by 64?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2402352 divided by 2988\nAnswer: -804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 5809 to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 432 and 1688688?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 3*x + 2, k - 5 = -0*k - 4*x. Sort -8, k, 0.\nAnswer: -8, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1128886 to the power of 1\/3, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 47, 1106, 0, 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12020002021120 (base 3) in base 15?\nAnswer: -39cc10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -235 - 7.9?\nAnswer: -242.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3 - ((-3)\/(-14))\/(14\/(-147))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126252.\nAnswer: 2, 3, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 76945 or 76960?\nAnswer: 76960","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 140446 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 540 and 11556?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 6*n - 5*n + 3*n + 38. Let l be t(-12). Let f(r) = 455000*r. Let j be f(l). Round j to the nearest 100000.\nAnswer: -4600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-3 + (-27)\/(-3) - 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.92 * -1\nAnswer: 0.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -297611.6 - -10.1534.\nAnswer: -297601.4466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 5*u - 30. Give k(10).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21201, 21181, 21163, 21147, 21133?\nAnswer: 21121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xknoooonkkxxoxoonoox. What is prob of sequence nk?\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 20*f**2 - 12*f - 14. Let l be x(-1). Suppose -c = l*c - 1045. Calculate the highest common factor of 495 and c.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170 = -15*p + 17*p + 2*f, -3*p = 10*f - 304. Solve -p*v - 379 = 11 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-4)*-56*(-15)\/270*4.\nAnswer: -28\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of -m**4\/12 - m**3 - 3*m**2 - 9*m + 5. Let r be (-4)\/(-6)*6 + -2. Suppose -r*k - 5*v = -5, -k + v + 4 = 12. Determine l(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.718406t in kilograms?\nAnswer: 718.406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -153*u + 158*u - 30. Let c(k) = k**3 - 7*k**2 + 9*k - 7. Give c(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2886 divide 35336184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -4*d**2 - 3. Let s(a) be the first derivative of 0*a**2 - 23 - 4*a - 5\/3*a**3. Let u be -1*(-1 - -5 - 0). Determine u*l(n) + 3*s(n).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2379 + -30925\/13. Let z = -2 - -10. Put 5, z, l in descending order.\nAnswer: z, 5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3103283.\nAnswer: 3103283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -3 + 6, 0 = -4*c - 4*x + 24. Let f(n) = n**3 - 8*n**2 - 6*n + 7. Is f(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 5:41 PM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 4*x**2 + 15*x + 20. Give v(7).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -39?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, b: 5, e: 2, o: 2}. What is prob of picking 1 p and 1 e?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 849*c**3 - 146*c**2 + 2*c - 2. Let g(l) = -3385*l**3 + 583*l**2 - 9*l + 9. Let q(y) = 9*f(y) + 2*g(y). Find the third derivative of q(b) wrt b.\nAnswer: 5226","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 0 - 26 - 33 + 21 + (-3 - 1 + 2)*(-3 + 1 - 5))*(j**2 + j**3 + j + 2*j + j**2).\nAnswer: -25*j**3 - 50*j**2 - 75*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6354 - 2095?\nAnswer: -8449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -2*v**4 + 8*v**3 + 2*v**2 - 8*v = 0.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ufjsjjbjjyjjfjsyu. Give prob of picking 1 f and 1 y.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - 2*d + 2*d)*(0*d**2 + d**3 + 0*d**2 + (-d + 4*d - d)*(9*d**2 - 3*d**2 + d**2)).\nAnswer: 45*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -251 + 377. Let l(z) = 4*z**2 + 4. Let m be l(4). Let h = q - m. Is 16 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*n = -26*n - 20*n - 40 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3391*u - 14 = 4*b - 3393*u, b = -3*u for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/2)\/l)\/l)\/(l\/(l\/l**2))*(l\/((l**(-2\/3)*l)\/l))**(16\/7) assuming l is positive.\nAnswer: l**(-29\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168934 is divided by 18.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 126, 266, 460?\nAnswer: 708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 4. Let l(o) = -5*o - g*o**2 + 0*o - 3*o**3 + 0*o**2 - 4. Let h be l(-3). Calculate the greatest common factor of h and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 149, 146, 139, 128, 113?\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*o + 7*o + 60. Suppose -5*p = 5 - o. Solve x - 5*s = 8, x = 4*s - p*s for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 * -23\nAnswer: 1.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -13074*j + 13079*j - 45, 0 = j for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -aa659?\nAnswer: aa661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hv when two letters picked without replacement from hftfhmxvhmf?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5800902073 - -5800902188.99999949. Let b = u + -116. Round b to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k**2 + 0*k**2 - 2*k**2)*(-5 - 7 + 4) + (3*k - 3*k - 2*k**2)*(3 - 1 + 0).\nAnswer: -20*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(204) - (sqrt(204) + sqrt(204)*-1)*-1))\/(sqrt(1452) + (sqrt(1452) - sqrt(1452)*1) - sqrt(24)\/(sqrt(2) + sqrt(6)\/sqrt(3))).\nAnswer: 2*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 3:17 AM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 5*t - 20. Let c(i) = 2*i - 10. Let j be c(t). Find the third derivative of 7 + 3 - 8*f**3 - 2*f**2 - j wrt f.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212213 (base 5) in base 8?\nAnswer: 16017","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1702, 2, 226, -14?\nAnswer: 226","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194495667?\nAnswer: 3, 317, 204517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + 5. Suppose 0 = s - 0*s - 16. Calculate the remainder when s is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 - -29. Solve 5*c + 8 = 3*x, 3*x + o = 3*c - 2*x for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 44*n**2 + 1. What are the prime factors of k(-1)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iijg. Give prob of picking 1 j and 1 g.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -287 to the nearest ten.\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -465, 5, -5?\nAnswer: -465","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/1 - (1 + -1). Let k = 4 - 0. Find the first derivative of -k - z*c**2 + 3 + 2*c**2 wrt c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*6\/(-12)*3300\/400?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*g**2*p + 2*g**2 + 48*p - 201 wrt p?\nAnswer: 3*g**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a century in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/63 (b) 32 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(3\/13)*(p*p\/((p\/p**35)\/p*p))\/p*p assuming p is positive.\nAnswer: p**(471\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -5*b**2 - 25*b - 8. Let q(n) = 6*n**2 + 29*n + 7. Let j(l) = -6*q(l) - 7*w(l). Give j(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u + 6. Let a(i) = i - 3. Let d(g) = -13*a(g) - 6*q(g). Give d(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14338672853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 101 + -7. Does 27 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3b + ac5c5a?\nAnswer: ac5c1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51018, 205381, 463092, 824151, 1288558, 1856313, 2527416?\nAnswer: 3301867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 7710 to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1533.\nAnswer: 3, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 972*c**3 + 8*c - 973*c**3 + 12*c**2 + 9 - 22*c. Calculate x(11).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 447503 (base 8) to base 10.\nAnswer: 151363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 452*n + 433. What is k(-2)?\nAnswer: -471","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g**2 - 605515272 + 605515272. Let n(b) = 572*b**2 - b + 1. Calculate n(h(i)).\nAnswer: 2288*i**4 + 2*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46375 = 5320*n - 144662 - 55993 for n.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + 4. Let o be (-2)\/s*(-15)\/(-10). Suppose -n = -0*n - 1. Which is smaller: n or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 41238, 41354, 41660, 42252, 43226, 44678, 46704, 49400?\n\"Answer: 16*p**3 - p**2 + 7*p + 41216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1089*d**4\/2 - 3234*d**3 - 4009*d**2 - 234*d - 7\/2 = 0. Calculate d.\nAnswer: -1, -1\/33, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000053038 to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 - 18 = -2*h. Let o = -33 - h. Solve o = -3*r + 6 + 9 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -841*n**5 + 3*n**4 + 899*n**2 + 2. Let j(l) = -l**5 + l. Let c(h) = 2*j(h) - w(h). What is the third derivative of c(p) wrt p?\nAnswer: 50340*p**2 - 72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37920 = -434*k + 22247 + 120701. What is the smallest common multiple of k and 88?\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, j: 7, d: 7, b: 3}. What is prob of picking 2 f and 1 d?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 3 + (-5 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 97566473 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*g**3*j**6 + g**3 - 2*g**2*j**2 - 7*g*j**6 - 80*g*j**2 wrt j.\nAnswer: -1320*g**3*j**3 - 840*g*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -128, -121, -120, -131, -160, -213, -296?\nAnswer: -415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 20*a - 11*a - 39 = 0. Solve -a*g = -99 + 81 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11*a**2*w**3 - 46*a**2*w + 22*a*w**3 + 12016*w**3 + 4 wrt a.\nAnswer: -22*a*w**3 - 92*a*w + 22*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4396618 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 equal to 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 27? (a) -5 (b) -117616 (c) 3 (d) 0 (e) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6159581?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 - 2*q + 2. What is the remainder when 38 is divided by i(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)*3*-3*-3)\/(sqrt(24)*5 - (sqrt(6) + (sqrt(12) + -2*sqrt(12) + sqrt(12) - sqrt(12))\/sqrt(2))))**2 + -3.\nAnswer: 7719\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**3 + 3*p**3 - 5*p**3 + 2*p**2 - 2*p**2 + p**3 + (1 + 1 + 0)*(0*p**3 - 2*p**3 + 3*p**3) - 4*p - 66*p**3 + 70*p**3 - 2*p**2 + 3*p.\nAnswer: 5*p**3 - 2*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -31. Calculate the highest common divisor of q and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5747.8667 rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -79*c - 34256 + 33624 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*10\/(-105))\/(2\/(-7))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, x: 8}. Give prob of sequence zz.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1127*x + 23*x + 479 + 96*x + 861 wrt x.\nAnswer: -1008","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*q - 12*q**3 + 76*q**3 - 12*q.\nAnswer: 64*q**3 + 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 2*l**2 - 27*l + 32. Let j(m) = 3*m**3 - 3*m**2 + 80*m - 90. Let g(h) = 4*j(h) + 11*v(h). Give g(-7).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that c**4\/3 + 5*c**3\/3 - 35*c**2\/3 + 5*c + 18 = 0.\nAnswer: -9, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -57*o + 48*o - 18. What is the second smallest value in 5, 11, -3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three eighths of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 16 - 13 - (-14 + -1). Let q = 11061 - 11062. Sort q, a, 2, 3 in decreasing order.\nAnswer: a, 3, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -75 + 80. Solve c - 22 = -i*v, -3*v + 7 + 14 = -2*c for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32) - sqrt(64)\/sqrt(2)) + ((-2 + sqrt(2))**2 - sqrt(2))*-4.\nAnswer: -24 + 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*m - 12. Let c = m - -15. What is the first derivative of -150*q**2 + 150*q**2 - 7 + q**c wrt q?\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -26 + 14 + 62\/5. Solve n*j**2 - 4*j + 10 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) -1 (c) 1.8 (d) -8\/3 (e) -28 (f) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 350 and 1723820?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of w**3\/3 + 5*w**2\/2 + 4*w + 2. What is the units digit of r(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-24)*-6)\/(920\/(-120)).\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8603 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s**2 - 9*s + 3. Let k(z) = 3*z - 1. Let b(q) = 2*g(q) + 6*k(q). Let x(v) = 2*v**2 - 18*v. Calculate b(x(p)).\nAnswer: 24*p**4 - 432*p**3 + 1944*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -61*u**2. Let v(o) = -26*o**2. Give v(g(r)).\nAnswer: -96746*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -82. Let p = i + 38. Let n = p + 73. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -467 - -2338\/5. Factor 12\/5 + 12\/5*w + d*w**2.\nAnswer: 3*(w + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 239 + -347. Is 9 a factor of (b\/4)\/((-3)\/2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of -b**5\/30 + b**3\/6 - 3*b**2\/2 - b. Let k(y) be the first derivative of u(y). What is the first derivative of k(r) wrt r?\nAnswer: -4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 12:11 AM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65 = 5*h, 8*m - 6*h + 21 - 15 + 28 + 20 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - 11 + 22 - n**3 as b*n + m*n**3 + q*n**2 + y and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 3*t**2 - t - 2. Let n be l(-4). What is the second derivative of 2*o + 12*o - 14*o + n*o + 54*o**2 wrt o?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y**3 - 7*y**2 - 13*y + 134. What is i(-7)?\nAnswer: 568","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13767\/5540 + -18\/277. Let a = -1365\/8 + 1235\/8. Calculate the common denominator of a and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 + 66*i**2 - 78*i - 728. Let j be q(-67). Solve -j*y + 53*y + 264 = 0 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1212 and 1704.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.675 to 1 decimal place.\nAnswer: 10.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5501, 7788, 10053, 12296, 14517, 16716?\n\"Answer: -11*d**2 + 2320*d + 3192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -7*t + 30. Suppose 5*a - 163 = -t*b + 3*b, 5*a - 112 = -2*b. Is b a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7\/4 of a meter?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(4\/(-4))*247\/38?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 7*i. Suppose o - 5*o + 20 = 0. Determine u(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -65127046190 to the nearest one million.\nAnswer: -65127000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 - 27\/6)*20\/15. Let a be 3 + (-1)\/1 + 30. Let s = a + -63\/2. What is the nearest to -0.1 in 4, s, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1309.9 - -1310. Let q = 719\/9 + -80. Which is the third biggest value? (a) f (b) q (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, x: 1, s: 4, u: 1, w: 2}. What is prob of picking 1 w and 1 x?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 6*h + 2. Let o(x) = -4*x**2 + 9*x - 13. Let g(l) = l**2 - 2*l + 3. Let r(p) = -9*g(p) - 2*o(p). Let z(d) = -i(d) + 2*r(d). Factor z(s).\nAnswer: -2*(s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/3 + 739\/3. Suppose -5*p + v = 2*k + 85, 0 = k + 2*p - 83. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2 + 24*z - 56.\nAnswer: 2*(z - 2)*(z + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21\/22, 5, 0, -2\/11, -2 in decreasing order.\nAnswer: 5, 0, -2\/11, -21\/22, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/45, 0.14, 0.2, 3, -0.1.\nAnswer: -0.1, 2\/45, 0.14, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.8637 rounded to one dp?\nAnswer: 16.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25924950?\nAnswer: 2, 3, 5, 53, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101111100101010001 - 100010?\nAnswer: 10101111100100101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 225, 569, 913, 1257, 1601, 1945?\nAnswer: 2289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of w**4\/2 + w - 17. Suppose 3 = -6*l + 3*l - 3*k, 0 = 4*l - 2*k - 8. Let t be f(l). Solve 10 = t*s - s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3885, -5, 3, -4, 0, 2 in descending order.\nAnswer: 3885, 3, 2, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from okyyuuudyoyouuuu?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.376 (b) -3 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25104\/4535 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15 or 4469\/330?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 258 a factor of 1044439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.047*-91019.\nAnswer: 4277.893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u\/u**(2\/9))\/u)\/u**(-3\/5))**(-5\/17) assuming u is positive.\nAnswer: u**(-62\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 5) + (10 - 19 - -16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2 and 97286.5?\nAnswer: 97284.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 14*i**3 + 11*i**2 + 54*i + 11. Let m(y) = -5*y**3 - 4*y**2 - 18*y - 4. Calculate -11*m(w) - 4*n(w).\nAnswer: -w**3 - 18*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 689.3778cm?\nAnswer: 6893778000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of u**4\/32 - 3*u**2\/16 - 14*u. Factor t(a).\nAnswer: 3*(a - 1)*(a + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1920881.\nAnswer: 17, 19, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38808?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -21828*q. Let c(k) = -33*k**2. Calculate c(s(f)).\nAnswer: -15723232272*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 321 = 5*c + g, -5*g - 33 = 49*c - 50*c. Solve 20 = 67*x - c*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/3)\/((-3)\/(-36)). Let s(y) = -y**2 + 23*y - 107. Let p be s(7). Solve -w*v + 2*b = 13 - 3, -v = b - p for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4080191\/798 bigger than -5114?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ewelitywy. What is prob of picking 1 w, 1 i, and 1 y?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-104)\/(-1794)*(-9)\/6 - (6 + 1605\/(-207))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1327 = -x + 6*b - 7*b, 2*x + b = 2647. Calculate the greatest common factor of x and 960.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - 16*c**2 - 41*c + 438. Calculate f(17).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*r = -67*r - 5*h - 18, 36 = -3*r - 4*h. Sort 22, 3, -7\/5, -3, r in increasing order.\nAnswer: r, -3, -7\/5, 3, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 4*x**2 + 5*x + 7. Let j = -27 + 23. Calculate the remainder when v(j) is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + -4 + 3 + 73. Suppose -m = -3*t - 61. Suppose t*f - 198 = 1308. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1064 + 25305.\nAnswer: 26369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5781 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4850153\/90 - -53890. Find the common denominator of r and 64\/15.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 12:20 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*s**3 + 15083083*s**2 + 101717336 wrt s.\nAnswer: -15*s**2 + 30166166*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 - 6\/6*-2.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 216310 and 4850?\nAnswer: 970","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-24)\/(-16))\/(3\/4). Solve 7*s - d*s = -5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*h - 15*h + 872 = 0 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 91, 57, -4.\nAnswer: -4, 57, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20227 and 113?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -93361 and -2.\nAnswer: -93363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2957337 and 1953?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((s\/(s\/(s*(s**0\/s)\/s*s)))\/s*s)\/s)\/s)\/s)**26)**28 assuming s is positive.\nAnswer: s**(-2184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6085222 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -123116a + 3?\nAnswer: -1231167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2201, -2, 2.\nAnswer: -2201, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*n**2 + 36*n**2 + 42*n**2 - 119*n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_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: What is the nearest to -1\/97 in 29, 2\/19, 56\/9?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 549.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35326 + 35809. Solve -11*h = 406 - j for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*x + a + 3*a + 45, a = -2*x - 15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o. Let u(h) = 90*h. Determine z(u(q)).\nAnswer: 90*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of t**9\/3780 - t**8\/1680 - t**7\/315 + 31*t**4\/12 + 93*t. Let b(p) be the third derivative of j(p). Factor b(o).\nAnswer: 4*o**2*(o - 2)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 8*v**2 - 84*v + 40 = 0.\nAnswer: 1\/2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-253)\/(-33)*12 - (0 - 4). Suppose -f = -6*a + 102. What is the greatest common divisor of 9 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 57032223.7 to the nearest one million.\nAnswer: 57000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 2*j. Let s(g) = -g**2 - g - 5. Let r be s(j). Let i = 1047 - 1047.09. Sort 3, i, r in descending order.\nAnswer: 3, i, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2)\/(o\/o**(1\/3)))\/(o\/(o**8\/o)*o*o**4)*o*o\/(o\/o**(-2))*o\/(o**7\/o)*o*o**(-2\/7)\/o**(2\/17) assuming o is positive.\nAnswer: o**(-2524\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -3.9.\nAnswer: -1.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -60100 - -103377. Is h a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s. Let w = 627 - 266. Let x = w + -360. Calculate p(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/20 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kgz when three letters picked without replacement from {g: 1, z: 1, y: 2, k: 1, s: 11}?\nAnswer: 1\/3360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5891979 to the nearest integer?\nAnswer: 2427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3356794 and 392?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 8400000 = 8*q. What is q rounded to the nearest one hundred thousand?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2737.5 - 546.2. Let y = x - 2293. Let d = y + 108. What is d rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**6 + 55*a**5*u**2 + 5*a**2*u - 20*u**2 wrt a.\nAnswer: 240*a**3 + 3300*a**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2267952.\nAnswer: 2, 3, 37, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1416, 1417, 1418, 1419, 1420?\nAnswer: 1421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -6 - 2. Suppose m*g - 350 = 3*g. Suppose 2*k - 74 = 4*h, 2*h = 2*k - h - g. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2714 divided by 59.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 57 - 3 - ((2 - 6) + (-30 - -25)).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 11:05 PM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from irrivirrizriidv. Give prob of sequence vv.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t**3 - 2*t + 2*t + (-7*t**3 + 3*t**3 - t**3)*(3 - 1 + 0) as h + j*t**2 + l*t + y*t**3 and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2709\/(-172) - (-18)\/24.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c*c\/c**(-2\/3)*c)\/c)**(-1\/46))**(-36)\/(((c\/(c*c\/(c*c**2)*c))\/c)\/c**(-1\/2)*(c**0\/c)**(-3)) assuming c is positive.\nAnswer: c**(-29\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 5*g**5 - 220*g**4 + 2815*g**3 - 9860*g**2 - 2820*g + 10080 = 0.\nAnswer: -1, 1, 6, 14, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*h**3 - 8*h + 12*h + 5*h**3 - 8*h wrt h.\nAnswer: 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4089 - 4456 + 3605)*(-1 - 2 + 4)*(0*y + 0*y - 2*y).\nAnswer: 9880*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1498.1 + -1498. Sort l, -0.025, 0.4, 2\/11 in ascending order.\nAnswer: -0.025, l, 2\/11, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -280*u**2*x**3 - 497*u**2 - 2*u*x**3 + 4*x**3 + 2139*x**2 + x + 4 wrt u?\nAnswer: -560*u*x**3 - 994*u - 2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*m**2 + 3966822*m + 79337640 = 0. Calculate m.\nAnswer: -20, 1322294","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14116470*j**2 + 14116470*j**2 - 53 + 42*j**3)*(2*j + 17*j - 4*j) in the form w*j**3 + c*j + v*j**2 + u + g*j**4 and give g.\nAnswer: 630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -82\/45 - -20\/9. Let c be ((-1250)\/210 - -6)*(-18)\/2. Put -3, 1\/8, y, c in decreasing order.\nAnswer: y, 1\/8, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1660839?\nAnswer: 3, 47, 11779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*w + 625 = -19 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -65\/16 bigger than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(228))\/sqrt(6))\/((sqrt(20)\/sqrt(5))\/sqrt(2) + sqrt(2)).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145004?\nAnswer: 2, 36251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -17723.17211 rounded to the nearest one hundred?\nAnswer: -17700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -336393 or 2\/23?\nAnswer: -336393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4015281 and 3144?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 + 390\/20)\/(1\/34). What is the highest common divisor of a and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*a**2*h*x**2 + 2*a**2 - 6*a*h*x**2 - 2*h*x**2 - 5*h*x + 8*h - 2*x wrt x?\nAnswer: -6*a**2*h - 12*a*h - 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 5*q + 389 = 0, 0 = 5*o + 15*q - 11*q - 631. What is the remainder when o is divided by 699\/33 + 8\/(-44)*1?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 7:07 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 647, 537, 345, 65, -309, -783?\n\"Answer: -j**3 - 35*j**2 + 2*j + 681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - 2*g - 1. Let r be v(-1). Let a be (-18)\/4 - -2 - -2. Let p = 4.3 - 4. Sort p, a, r in decreasing order.\nAnswer: r, p, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -81*q**2 - 127*q**2 + 39*q**2 - 58*q + 33*q**2 to t*q + c*q**2 + o and give c.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t + 7*t + 2*t = 4*q + 48*t - 156, 5*q - 5*t - 10 = 0 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2239232657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bhxf when four letters picked without replacement from huuhfxbt?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.017 - 94.\nAnswer: -94.017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1\/3, 1.3, -7, 0.4.\nAnswer: -7, -4, -1\/3, 0.4, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*m**4 + 9767*m**3 - 22156*m wrt m?\nAnswer: -60*m**2 + 58602*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 218*c*t**3*z + 17*c*t**2*z - c*t**2 - c*t - 7*c*z - 6*c - 6*t**3 + 9 with respect to z.\nAnswer: 218*c*t**3 + 17*c*t**2 - 7*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -r + 42. Let x = 42 - r. Solve 0 = i - x for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0522 + -3.0522. Put -14, a, -3.3 in decreasing order.\nAnswer: a, -3.3, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1206970240 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/1005 and 40.\nAnswer: 1005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 5. Let l = j - -7. Suppose 0 = 4*x - 2*x - l. Solve 0 = w - 5, -x*m + 2*w - 16 = -0*w for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/45 or -9.95?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1107511553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (846\/235)\/(((-10)\/75)\/1).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34 - 38. Sort 0.4, 3, c, 5 in ascending order.\nAnswer: c, 0.4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.53 to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -65 (b) 0.1 (c) -0.4 (d) -2 (e) -173.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -1.1.\nAnswer: -4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 956*j + 30 - 27 + 303*j - 238*j in the form u*j + x and give u.\nAnswer: 1021","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 48*t**3 - 1523*t + 41*t**3 + 1524*t + (-2*t**2 + 3*t**2 - 2*t**2)*(-2*t - t + 4*t) - 2*t**3 - 16*t + 16*t.\nAnswer: 86*t**3 + t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*h + 24. Suppose 4*m = 5*m + h. Let a be (-75)\/(-12) - (-3)\/m. Solve 17 = -t - 2*u + a, -2*u - 6 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**2\/7 - 324147*x\/7 - 231530 = 0. What is x?\nAnswer: -324142, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 21\/26 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t + 7. Let q be i(-5). Let b(p) = 4*p + q*p + p + 0*p. What is the remainder when 55 is divided by b(2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*j - 2. Suppose -4*g = -f + 9 + j, 4*f - 2*g = 16. Let v be (-2*f\/(-12))\/2. Which is the biggest value? (a) v (b) -4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14 + -37?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**5\/19 - 10*b**4\/19 - 14*b**3\/19 - 6*b**2\/19 = 0?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 85215 and 225285.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 956 + 15219.63\nAnswer: 16175.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 8*b + 9. Let g be y(7). Suppose -3*n + t + 5 - 17 = 0, -4*n - 6 = g*t. Calculate the remainder when (-10 + 7)*50\/n is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 3*q**2 + 3*q - 1. Let o be z(3). Suppose 4*t = o*t - 200. Does 20 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 1) + (-1 - -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -367404 divided by 10806\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-63)*72\/6)\/((-2)\/(-3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/4 - (1 + 1). Let d(k) = 3*k**3 - 5*k**2 + 5*k - 21. Let j(n) = -2*n**3 + 3*n**2 - 3*n + 11. Let t(u) = -3*d(u) - 5*j(u). Does 8 divide t(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.88 - -4. Let r = 4.88 + m. Let t be (9\/(-48))\/(10 + 2314\/(-208)). Put -0.02, r, t, -3 in decreasing order.\nAnswer: r, t, -0.02, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 652544 and 3255073.\nAnswer: 2549","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-248)*20\/(-5). Suppose 2*v + 4*h = 5*h, 5*h + 15 = -5*v. Which is greater: s or v?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2313 take away 1?\nAnswer: -2314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d + 5. What is y(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 28675631 to the power of 1\/2, to the nearest integer?\nAnswer: 5355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 288647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8190 - 8187. Let w = 13.7 + -1.7. What is the closest to 0 in u, -1\/6, w?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2718\/1812*(2\/((-2)\/2) - -184). What is the greatest common factor of 462 and t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 131950 and 16900.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17121257 to the power of 1\/3, to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*p - 29 = 45. Sort 0, -6, 9, p in descending order.\nAnswer: 9, p, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*g**3 + 2*g**3 + 9*g**3 - 16*g**3.\nAnswer: 6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*p**3*w**3 - 2*p**3 - 2*p**2*w**2 - 7*p*w**3 - 2*p + 6*w**3 wrt p.\nAnswer: -18*p*w**3 - 12*p - 4*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -14455862*k - 1. Let s be o(-2). Suppose 0 = 8*w + s + 40928277. Round w to the nearest one hundred thousand.\nAnswer: -8700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 9:08 AM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -4, -5, 2, 23, -17 in decreasing order.\nAnswer: 23, 2, -4, -5, -6, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 divided by 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13.878456 minutes to hours.\nAnswer: 0.2313076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 452.3621 millimeters?\nAnswer: 0.4523621","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 29*w + 175. Let k be r(-6). Solve -2*p = 3*s - k - 3, -s = -2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5686*q - 11401*q + 5699*q = 320 for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 10*k**2 + 38*k - 193. What is c(10)?\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c**3*t**2 + 379*c**3*t - 2*c**3 - 4685*c**2*t**5 + 2*c - t wrt t?\nAnswer: 4*c**3 - 93700*c**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + c)*(4*c + 0*c - 3*c) + 57*c**2 + 2887539*c - 191*c**2 - 2887532*c.\nAnswer: -133*c**2 + 7*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 16\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 5*f - 34, -f + 22 = 2*r + 2*f. Let l(t) = t**2 + 5*t + 8. Let c be l(-8). Calculate the highest common factor of r and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -3*w**3 + 9*w**2 + 344*w + 337. Calculate p(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -8 + 2 - (-12 + 10)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -27) + (-285)\/10.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10876 is divided by 61.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2473, 4997, 7559, 10147, 12749, 15353, 17947, 20519?\n\"Answer: -2*v**3 + 31*v**2 + 2445*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 65 in 36, 1\/6, -0.5, 0.42?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 29\/2 of a decade?\nAnswer: 1740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1540543 is divided by 36?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (r**2 + 0*r**2 - 2*r**2)*(-5 + 5 - 8*r) + (-2*r**3 + r - r)*(-2 - 2 + 1) + 0*r**2 + 2*r**3 + 0*r**2 as u + n*r**3 + h*r + z*r**2 and give n.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -208629*c**4 + 5650*c + 8 wrt c.\nAnswer: -2503548*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1022, -4385, -7748, -11111, -14474, -17837?\n\"Answer: -3363*p + 2341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 547821*a**4 - 40*a*z**2 - 47*z**2 - 128056*z + 4 wrt a?\nAnswer: 2191284*a**3 - 40*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 551156 (base 7) to base 6.\nAnswer: 2022345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12348.5 - -12349. Which is the third biggest value? (a) -2\/27 (b) 0 (c) x (d) -13 (e) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5279 + 7578. Let l = c - 34432\/15. Find the common denominator of l and 16\/33.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -53 + 74. What is the lowest common multiple of 30 and j?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 605 - -1206. Suppose -4*n + 0*n + 2*j = -7244, -j = n - q. Let c = 2608 - n. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 154 - 386. Suppose 0 = -5*o - 45 + v. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 29875?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -153*x**2 - 1 + 3821*x - 1921*x - 1901*x as s*x**2 + d + i*x and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, -3, -59\/18, 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1155128311 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 q when two letters picked without replacement from tqtqdtqtttqqttttqdtq.\nAnswer: 77\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 5. Let k = -2.88493 + -0.11507. What is the closest to -1 in n, -0.9, k?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/((a*a\/a**(-25))\/a)))\/((a**(1\/56)\/a*a)\/a)*a\/a**(-22)*a**(3\/11)*a assuming a is positive.\nAnswer: a**(31573\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m**5 + 60*m**4 - 369*m**3 + 174*m**2 + 600*m = 0 for m.\nAnswer: -25, -1, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6225 - 592 - 4723 - 4924 + (1 + 5 - 4)*(1 - 1 + 2))*(-3*t - t + 3*t) to the form u*t + k and give u.\nAnswer: 16460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*a - 2*a**2 + 4*a + (6*a**2 + 4*a - 4*a)*(2 - 1 - 4) as b*a**2 + z*a + h and give b.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -4*q - 25. Let m(t) = -320 + 79 + 77 + 75 - 3*t + 72. What is 5*c(x) - 7*m(x)?\nAnswer: x - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -351 or -363?\nAnswer: -351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.81 + 0.19. Which is the third biggest value? (a) 2 (b) q (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3591 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 52 - 157 - 4*a**2 - 3*a**2 + 8*a**2. Let t(y) = 3*y**2. What is l(t(o))?\nAnswer: 9*o**4 - 105","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 1 - ((-68)\/11)\/(-4).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21450?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - k - 3*k)*(2 - 5 + 2)*((-84 - 2*k + 84)*(-3 + 0 + 6) - k - k + 7*k).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 9:07 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -3*k**3 + 17*k**2 + 7*k + 7. Let j(s) = s**3 - 8*s**2 - 3*s - 4. Let u(x) = 2*a(x) + 5*j(x). Let i be u(-6). Solve -5*z = -i*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -62540000 to the nearest 1000000.\nAnswer: -63000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 4, -1\/2, 12, 174, 14.46?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -29098.883184994 and 20.\nAnswer: -29078.883184994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1505, -107, 12, -7 in increasing order.\nAnswer: -107, -7, 12, 1505","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16409859937 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of -299*u**5\/60 + u**2 - 3103*u. Let l(m) be the first derivative of m**2 - 7. Determine j(l(k)).\nAnswer: -1196*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 3*o + 673, y - 88 + 457 = 5*o. Let q = y + 680. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, r: 1, c: 1, a: 2, x: 2, g: 1}. Give prob of sequence cxg.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 162 divided by -9045.\nAnswer: -6\/335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 50*v**3 + 451*v**2 + 22*v + 39. What is z(-9)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + 4*j + 4. Let k be f(-3). Suppose 0 = -2*u - 1 - k. Sort u, 5, 2 in decreasing order.\nAnswer: 5, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61 (base 7) to base 10.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3 = j, 2*n - 2*j - 2 = 0. Solve 0 = -4*q + 3*r - 15, 5*q + 2*r = -n*r - 11 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -185, 3\/56686, 0 in descending order.\nAnswer: 3\/56686, 0, -185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -41*d - 1401. Let z be u(-34). Which is greater: 10 or z?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 2*m**2 + 3*m - 7. Let x(b) = b**3 - b**2 - 2*b + 4. Suppose -7*g - 5*q + 53 = -3*g, -2*g - q + 19 = 0. Determine g*x(w) + 4*s(w).\nAnswer: 3*w**3 + w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sibtymt. Give prob of sequence by.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -8*d - 60. Let h be v(-8). Suppose -3*j + 4 = 4*p + 1, h*j - 4 = 0. Solve p*r = 2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - 9*l + 19. Let a be t(12). Let d = -40 + a. Suppose j = -3*n + 24, 0 = n + 2*n - d. Solve j*k = 11*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + 4*h. Let q be k(3). Let p = 18 - q. List the prime factors of p.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -32*t**3 - 21475*t**2 - 1760681 wrt t?\nAnswer: -96*t**2 - 42950*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 9*k**5 - 303*k**4 - 6042*k**3 - 33930*k**2 - 65775*k - 18375 = 0.\nAnswer: -5, -1\/3, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5 - 62\/10)*(-4)\/(-12). Sort -0.07, w, -0.02, 2\/7, -2\/7 in decreasing order.\nAnswer: 2\/7, -0.02, -0.07, -2\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 1 - 7 = 0. Suppose 0 = -2*x - 2*i + 30, -4*x = -d*x - 2*i - 50. Let h = x + -15. Solve 3 = -r + h for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from {h: 8, c: 2, x: 2}?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d**3 + 11*d**2 + 12*d - 7. Give i(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40, 33, 28, 31, 48, 85, 148, 243?\nAnswer: 376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**2. Let h(j) = 93522581*j. Give h(k(l)).\nAnswer: -187045162*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2*g + 4*d = 24, 2*g = -4*d - 4. Let s(a) = a + 4. Let l(h) = -h - 2. Determine g*s(n) - 7*l(n).\nAnswer: 3*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 AM and 1:08 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18289\/2 + -9144. Which is the nearest to -0.03? (a) 2\/17 (b) -0.4 (c) v (d) -1\/277\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 0 - 7)*(5 + 7 + 0)*(4*h - h - h) + (2*h + 4*h - 4*h)*(-2 + 1 + 0) + 0*h + 4*h - 3*h)*(-h**4 - 3 + 3).\nAnswer: 217*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 4*i**3 + 3316*i**2 - 103204*i - 106516 = 0?\nAnswer: -859, -1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**2 - 16*j - 35. Let r be p(10). Suppose 0 = 4*i - 2*g + g - 2184, i - 525 = -r*g. List the prime factors of i.\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e4ed - 4?\nAnswer: -e4f1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 232, 216, 184, 130, 48?\n\"Answer: -s**3 - 2*s**2 - 3*s + 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 61, 16, -833\/4?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(125))**2 - (sqrt(25) + sqrt(75)\/sqrt(3) + sqrt(25))\/sqrt(5)) + -1.\nAnswer: -3*sqrt(5) + 499","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 3*d + 5, -7 = -3*t - 4*d + 9. Let m = -1267 - -2192. Suppose -9*s + m = -t*s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r - 1. Let d(i) = 5. Let s(a) = 3. Let c(m) = 5*d(m) - 8*s(m). Let b(z) = 8*z + 8. Let g(l) = b(l) + 2*c(l). Calculate -g(q) - 10*v(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209)\/(6*sqrt(176)))**2 + -3 + 0 - ((-2*1*sqrt(2736))**2 + 3 + 3).\nAnswer: -6308909\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 54 in 7, -2\/3, -2\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/45)\/((((-864)\/(-16))\/(-18))\/(24\/176)).\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 5) in base 2?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 5*p = 25, 75*a + 9 = 70*a - p for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 30497?\nAnswer: 30494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(3) - sqrt(243)\/sqrt(9)) + 1)*5 + (-2*sqrt(600))\/(sqrt(32) + sqrt(8)))**2.\nAnswer: -400*sqrt(3)\/3 + 1675\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 366*w - 135. Let g(n) = 28*n - 10. Let f(c) = -27*g(c) + 2*z(c). Let d(a) = -2*a. Calculate f(d(x)).\nAnswer: 48*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s. Let j(k) = 9429571*k. What is h(j(f))?\nAnswer: 18859142*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 75e (base 16) in base 7?\nAnswer: 5333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k. Let v(z) be the second derivative of 2*z**3\/3 - 12*z. What is v(u(w))?\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2 + 412911288*q - 10655983234863684.\nAnswer: -4*(q - 51613911)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*w, 3*k + 4*w - 10 - 2 = 0. Solve -l - 1 = 0, k = -2*j - 5*l - 0*l - 13 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 7 = 4*v, -19*m + 18*m + 7 = -2*v. Sort 3\/4, m, 1.6 in descending order.\nAnswer: 1.6, m, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16479698 to the power of 1\/4, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d. Let k(s) = -19808*s**2. Determine l(k(f)).\nAnswer: -19808*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 2*r + k - 11, -4*r - 3*k - 14 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2489 - -2578.1. Round k to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 88*u**2 + 29*u - 114. Is 11 a factor of h(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 58 - 31. Suppose 0*x + 5*x - w = 4*k, -15 = -4*x + k. Suppose -x*v = -v. Which is bigger: -2\/23 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.06 + -0.06. Let u be (-11 - 1)\/3*918\/8. Let v = 495 + u. Put v, -5, f in descending order.\nAnswer: v, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39151 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 196493 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 m when three letters picked without replacement from {m: 3, g: 1, c: 4}.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*p - 12 = -5*p, -15 = -4*y - p. Suppose -a - y*a + 108 = -w, 5*w = 0. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -94*i**2 + 33*i wrt i?\nAnswer: -188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 9*l + 13. Let a(b) = -4*b**3 + 3*b**2 + 3*b - 3. Let g be a(1). Let y be u(g). Solve 5*x + 24 = x + y*w, -5*x = 5*w for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 96495 divided by 6433\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**3 - 6*b**2 + 66982*b - 66977. Calculate s(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -2 + -38 + 40 + -8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16176, 16186, 16196?\nAnswer: 16206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 6) in base 15?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -472944 - -262.\nAnswer: -472682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + m + 1. Let w(h) = 5*h**2 - 4*h - 5. Let x(j) = -4*o(j) - w(j). Let d(q) = -3*q**3 + 4*q**2 - 4. Calculate d(f) + 4*x(f).\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(-6)*2\/8. Let j = -0.17 + -4.83. Let m be (-14)\/(-6) + 2\/(-1). What is the closest to d in m, j, -0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 2*3*sqrt(125)*-1 + -4 + ((-1*sqrt(125) - sqrt(125)) + -1 - sqrt(125) - (sqrt(125) + sqrt(125) + 1 + -5))*1)**2.\nAnswer: 330*sqrt(5) + 15134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-368)\/(-10) - (55 - 19).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -26*x**2 + 9*x + 34. Let z(m) = 77*m**2 - 27*m - 101. Let i(n) = -7*a(n) - 2*z(n). Let l = 27 + -30. Is i(l) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 38 = 3*s, -4*s + 45 = -4*j - 7. Suppose -4*q + 59 = 3*w - 124, -4*w - s = 0. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 4*o**2 - 5*o + 14. Give a(7).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/sqrt(27) + (sqrt(170) + (-2*sqrt(170) - sqrt(170)) + sqrt(170))\/sqrt(10) + (5 + sqrt(272) - (-1 + sqrt(612)))**2.\nAnswer: -74*sqrt(17)\/3 + 104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 7) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 84368402 to the nearest integer?\nAnswer: 9185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n**3 + 8*n**2 - 8. Let x = 18 - 70. Let m = x + 44. Let c(p) = 2*p**3 + 5*p**2 - 5. Give m*c(l) + 5*a(l).\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -4*a**3 + 5*a**2 + 6*a + 117. Let y(t) = -7*t**3 + 11*t**2 + 11*t + 232. Let f(o) = 11*s(o) - 6*y(o). Differentiate f(q) with respect to q.\nAnswer: -6*q**2 - 22*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 6 = -0. Suppose -6*z + s*z + 3*h + 123 = 0, 129 = 4*z - h. What are the prime factors of z?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 a when four letters picked without replacement from asayyayysaaay.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3989695, 7979385, 11969075, 15958765, 19948455?\n\"Answer: 3989690*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 55 - 10 = 0. Put z, -5, -11, 37 in increasing order.\nAnswer: -11, -5, z, 37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6058.2931 + 241376.\nAnswer: 235317.7069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wm when two letters picked without replacement from mwvmwwmwmmmwm.\nAnswer: 35\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 126057043?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000395 to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -99d (base 16) to base 5\nAnswer: -34321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 PM and 11:58 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -770467 - -1157395. Let b = 1883072 + v. What is b rounded to the nearest one hundred thousand?\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*m**3 + 374*m + 371*m - 3 - 744*m to t + y*m + v*m**3 + o*m**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1299?\nAnswer: 3, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t**2. Let m = 7765 + -7765. Let d(f) be the second derivative of 0 - 5\/3*f**3 + m*f**2 - 22*f. Determine d(r(g)).\nAnswer: 20*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 141\/(-18) + (-2)\/12. Let v be (1 - -154)*j\/(-10). Suppose 3*d = v + 647. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vax when three letters picked without replacement from {x: 1, w: 5, a: 3, v: 1, o: 4}?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4*4\/(-10) + -1. Let q = -2404 + 2410. Sort q, h, -5\/2 in descending order.\nAnswer: q, h, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - (4400\/(-429) + (-4)\/52))*(-48)\/1736.\nAnswer: -2\/217","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/165 and 43\/1052502.\nAnswer: 5262510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*w = -48*w + 3, -4*s - 64 = -4*w for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 (base 7) in base 9?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y + 3. Let o be z(-3). Suppose q = -o*q + 8. Suppose 4*x = 8, -2*n + x = -3*x + 4. What is the highest common divisor of q and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 12 = -2*q. Solve -4*p - 5*r + 5 = 41, -2*p = q*r + 16 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.9 from -5.7261.\nAnswer: -4.8261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 2, 231, 5 in ascending order.\nAnswer: 1, 2, 3, 5, 231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2)*(48*i**2 - 67*i**2 + 50*i**2)*(-3*i + 3*i + 7*i).\nAnswer: -434*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -5*k + 12. Let p be -1 + 0 + 0 - (0 - -4). Let b(t) = t**2 - 4. Let w be b(0). Put k, p, w in descending order.\nAnswer: k, w, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -82 + 55. Let s = y + 13. Let r = 10 - s. 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 b be (-1 + 1)\/(-3) - (-410)\/5. Suppose 0 = -2*m + 10, -4*m + b = 4*i - 14. What is the highest common factor of 57 and i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**5\/j)\/((j*j*j\/(j*j\/j**(-7)))\/j))\/((j\/j**5)\/j)**(24\/5) assuming j is positive.\nAnswer: j**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -16*s**2 - 120*s - 1. Let p(d) = -d + 6. Give r(p(w)).\nAnswer: -16*w**2 + 312*w - 1297","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 32605 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25913.2 - -25912.8. Let c = -0.6 - -0.3. Let q = -0.1 - c. What is the nearest to n in -4\/9, 0.1, q?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17723848 + -17723848.12500063. Let x = v - -0.125. What is x rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of 2*x**3\/51 - 346*x**2\/17 + 59858*x\/17 + 6351. Factor s(v).\nAnswer: 2*(v - 173)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1098*14\/(-1260)*((-15)\/12)\/(2\/8)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 - 4*c**2 - 2*c**2)*(-c + 4*c - c) - c**3 - 2*c**3 + 4*c**3 - c**3 + 2*c**3 - 2*c**3 + (-4*c**2 + 4*c**2 + 4*c**2)*(-4 - 2*c + 4).\nAnswer: -24*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4764193417 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 30*y - 65. Let f(o) = 5*o - 11. Determine 35*f(k) - 6*g(k).\nAnswer: -5*k + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 - 214?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4 + ((sqrt(243) + 0)*1 + 3)**2)*2.\nAnswer: -3072 - 648*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 14 + a**2 + 4*a + 0*a + 7*a. Let c be h(-10). Suppose -4*o + 4*t + 41 = -15, -2*t = -c. Is o a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -61*m + 1. Let z(w) = -w. Let i = -2643 + 2649. Calculate i*z(q) - u(q).\nAnswer: 55*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -198896, -397993, -597090?\nAnswer: -796187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*k - 1 = -14*k + 3*i, 3*i = 3*k + 15 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - 3)\/((-16)\/(-7560)). Let l be (12\/(-10))\/(14\/p). Suppose 5*t + 31 - l = 0. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/(((g\/(g*g**9))\/g)\/g*g)*g)\/g*g**(-4\/5))**(3\/11))**50)**18 assuming g is positive.\nAnswer: g**(27540\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 253 is divided by 252?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1637029 + 1595.\nAnswer: -1635434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 73339 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 110343 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 108 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*a - t + 30 = 162*a - 84*a, -5*a - 50 = 3*t - 8*t for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3900) - sqrt(3900)*-3) + sqrt(3900))\/(4*(sqrt(18)\/sqrt(6) + sqrt(3))).\nAnswer: 25*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 6583*x + 52632. Give n(-8).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -3*k**2 - 2*k - 4. Let d be n(-2). Let z = 26 - d. Does 9 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22794278 - 384278. Round u to the nearest 1000000.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -762 + 219?\nAnswer: -549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-2 - (2 - 4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*b = 7*b - 68 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2 - -1 - (2 - (-2156)\/(-7)).\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/(-54) - 11\/(-6). Solve t*b + b + 12 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -3*f + 5. Determine g(-13).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -67 + (-28 - 2262\/(-78))\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4420 to the power of 1\/2, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -18*j - 9. Let t(c) = 9*c + 4. Let a be 33*36\/81*27*1. Let k be ((-2)\/(-4))\/(22\/a). Determine k*t(s) + 4*g(s).\nAnswer: 9*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1126619 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, 0, 5\/3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 5 - 2 - (9 - 8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6524, -52551, -177480, -420761, -821844?\n\"Answer: -6575*r**3 - r**2 + r + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 4*h + 27. Let u be n(-6). Suppose -3*x = z - u, 2*x = -5*z - 7 + 9. Let q(f) = 7*f**2 - f - 1. Determine q(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2*c - 2014, 0 = -0*d + 3*d + c - 6035. List the prime factors of 16\/(-10) + 2 + d\/20.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14008311 is divided by 1400831?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t + 3. Suppose u + 12 = 4*r - u, 4*r + 2*u - 20 = 0. Let s be x(r). Let y(h) = -8*h**2 - 5*h**2 + 12*h**2 - h. What is y(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8.5 - 8. Let m be 11\/1 + (-3097)\/326. Which is the closest to -0.2? (a) m (b) q (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express 4*y**4 + 14*y**4 - 15489084 - y + 15489088 - 2*y**2 in the form g*y + n*y**4 + m*y**2 + q + i*y**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3287 + -3151. Solve 6 = 139*t - c*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -23*o + 11. What is the units digit of y(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 181834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -11 + 6 + -1 + (-3 - -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ejw when three letters picked without replacement from wjjjexeoj?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.65 and -1987.8.\nAnswer: -1988.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 670, 2630, 5886, 10438, 16286, 23430, 31870?\n\"Answer: 648*k**2 + 16*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17810858711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 1 - -1 - (0 - 9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 81 + -79. Suppose -t = 3*q - 1 - 8, 0 = b*t + 5*q - 20. Differentiate 20*u**3 - 2 + t + 8 - 5 wrt u.\nAnswer: 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1626\/8*156\/117. Solve -c*y - 8 = -279*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mkxnb. Give prob of picking 1 n, 1 x, 1 b, and 1 m.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 213708053 to the power of 1\/3, to the nearest integer?\nAnswer: 598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -67 (base 14) to base 5\nAnswer: -331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -826047.337 rounded to the nearest ten thousand?\nAnswer: -830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2413103 is divided by 227.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - 24aca?\nAnswer: -24ace","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 903.61 rounded to the nearest integer?\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of -1\/6*s**3 + 0 + 0*s + 45\/4*s**4 - 6*s**2. Is t(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 5*r + 48, 2*r - 4*r = -4*h + 64. Suppose -h + 0 = -j + 3*p, 0 = -p - 4. Solve -3 = j*l - 19 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2240 divided by 4.\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7013, -6873, -6735, -6599?\nAnswer: -6465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 6 = -3*z, 5*z - 10 = 4*a + 2 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k\/(k\/(k**(-7\/5)*k))))\/k*k\/(k**4*k)*k*(k\/(k\/(k\/(((k\/(k*k**(-3\/4)))\/k*k)\/k)))*k)\/k*k*k**(-4\/9)*k*k assuming k is positive.\nAnswer: k**(397\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -6*f + 20 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13254 - -2?\nAnswer: -13252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 5. Let i(r) = 2*r + 13. Let x be i(z). Which is the nearest to 1\/4? (a) 0 (b) -0.2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178 - 5*z**2 + 33*z + 43 + 51*z + 56*z = 0 for z.\nAnswer: 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 189246*c**2 - 269681*c.\nAnswer: 378492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/7)*v*v*v**(-1))\/(v**1*v)**41 assuming v is positive.\nAnswer: v**(-565\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1)**47*((u**0\/u)\/u)**(2\/27) assuming u is positive.\nAnswer: u**(1265\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z = -40*v - 3*z - 123, -27*v - 5*v + 12 = -35*v + 3*z for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(108) - ((sqrt(108) + 2 - sqrt(108))**2 + -1)) + sqrt(108) + sqrt(108).\nAnswer: -2 + 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 1.348?\nAnswer: 6.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.76 - -0.26. Let j = 4 + c. Sort 3, 0.2, j in increasing order.\nAnswer: j, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -11 + 7 + (5 - 9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, -1, 59, 5 in decreasing order.\nAnswer: 59, 5, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -48905\/16 + 3053. What is the common denominator of 27\/8 and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1223851356.\nAnswer: 2, 3, 7, 13, 31, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70281193?\nAnswer: 509, 138077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-88)\/77*29\/232*-98?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 18 (base 11) to base 9\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*v + 86 - 2. Suppose v*c + 6 = 8*c. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 + 24. Let o(p) = 2*p - 3. Let v be o(3). Which is the smallest value? (a) 0.4 (b) j (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-72)\/90)\/(-2*2\/30).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(-2\/39)*x**(-9)*(x*x**(-1\/4))\/(x\/(x\/(x*x*x**(-27)*x))*x) assuming x is positive.\nAnswer: x**(2449\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pnpipppjjpnpjip. What is prob of sequence njn?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 + p. Suppose 0 = 9*w + 17*w - 260. Let y(j) be the third derivative of -j**6\/120 + 11*j**5\/60 - 5*j**4\/12 - j**2. Let r be y(w). Determine x(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of d*p**2 + 2*d*p + 1819*d + 21586*p**2 + 4*p + 3353 wrt p?\nAnswer: 2*d*p + 2*d + 43172*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -8. Let z be 21\/(-14)*(p + -3). Suppose -5*y = -r - 2*y - 3, -2*r + 30 = z*y. 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 f be 1 + (-20)\/4 - -22. Let h = 2378.8 - 2379. Which is the nearest to 1? (a) f (b) -1\/3 (c) h (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1107 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 994747, 994739, 994705, 994633, 994511, 994327, 994069, 993725?\n\"Answer: -2*v**3 - v**2 + 9*v + 994741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 0*t - 2 + 0)*(0 - 2 + 0).\nAnswer: -2*t + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11244 and 1368?\nAnswer: 1281816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2007, -4026, -6057, -8100, -10155, -12222, -14301?\nAnswer: -16392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 18 = 3*u, 4*u - 35*b = -40*b - 5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 4:50 PM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 119.1 and -0.1.\nAnswer: -11.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -222231123?\nAnswer: -222231200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39097 - -23674. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**5 - 95*n**4 - 575*n**3 - 1205*n**2 - 1040*n - 320.\nAnswer: -5*(n + 1)**3*(n + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*l*o*r - 14*l*o - 2572*l*r**2 - l*r - 6*o*r**2 + 4*o - 8 wrt r.\nAnswer: -5144*l - 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1482 - 2951 - y**2 + 1469.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7745893 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 205058 a multiple of 361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - r + 6 = r, 0 = 3*t + 4*r - 11. Suppose -q = t, -2*w - 5*q = 2*w - 79. Let c = 11 + w. Is c a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9858 - -15029. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30819 or -30822?\nAnswer: -30822","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 244\/(-40) + 28\/280 - 70\/(-12)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -513, -506, -499, -492, -485?\n\"Answer: 7*u - 520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-14))\/((-6)\/48). Let x = -0.8 - -3.8. Let k = -2 - x. Sort k, 0, y.\nAnswer: k, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 4) to base 12\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 352844?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 14. Let x be -285625*24*z\/((-75)\/10). What is x rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 306 and 2346?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -51452074 to the nearest 1000000.\nAnswer: -51000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -10*w - 58. Let y be p(-6). Let m = -1 + 1. Suppose -y*l + 8 + 0 = m. Solve -u - 2*u + 7 = j, -3*j = -l*u + 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54, 81, 108?\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31 and 15656736.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/sqrt(2) + 2 + sqrt(22)\/sqrt(32).\nAnswer: 2 + 5*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + -3 - -8) + 132 + -142 + 21 + 1.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -296*p**3 - 2*p**2 + 2*p + 1. Let h be 2\/(12\/(-4) + 2). Is y(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/(-2068)*-799)\/(-2).\nAnswer: -17\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2074 by 3.\nAnswer: 2074\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -3827 less than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 77 - 71. Suppose -42 - o = -2*d. What is the highest common factor of d and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/9 and -37\/239?\nAnswer: 2151","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39*h**3 + 7*h**3 - 12*h**3)*(-h**2 - 3*h - h**2 + 0*h).\nAnswer: -68*h**5 - 102*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - -599) + (-6)\/2. Let h be 1\/(-2) - (-6)\/((-24)\/t). List the prime factors of 3*3\/18*(6 - h).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3*r**3 - 4*r**2 + 6*r - 12. Determine l(-5).\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2837647*-2\nAnswer: 5675294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 265287968 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 the third derivative of -91201*f**6 + f**5 - 3*f**2 + 2*f - 4614?\nAnswer: -10944120*f**3 + 60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1999 = -2*t + 3*v, -111*t + 2039 = -109*t + 5*v. Calculate the greatest common divisor of 342 and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/3735 and -25\/5976?\nAnswer: 29880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20\/7 + -25\/21. Let i = -0.3 + 0.4. Let x = i - 0.2. Which is the smallest value? (a) x (b) v (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q. Suppose -3*s = 3*f, 4*s + 15 = -1. Let t(z) = 2*z. Let n(v) = f*t(v) + 5*m(v). Let a(x) = -45*x**2 + 24*x**2 + 9*x**2. Give n(a(b)).\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seventeen quarters of a tonne?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.9 in 0.3, -8, 6\/11, 41, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -256*g = -7330 + 674 for g.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 930 + -935. Let t(v) = 19*v - 2. Let y(q) = -19*q + 2. Determine p*y(x) - 6*t(x).\nAnswer: -19*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 13 = -10*x + 9*x, -4*q + 399*x - 2027 = 0 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1010010001111 (base 2) to base 8\nAnswer: 12217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/23 (b) -2\/7 (c) 5 (d) 0.072 (e) -4 (f) -1 (g) 27\/2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 9:23 PM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 5 (c) -17 (d) 4\/21 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p**2 + 157*p + 4. Let k(f) = -20*f. Give h(k(v)).\nAnswer: -800*v**2 - 3140*v + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 840 = 820*r - 785*r for r.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i**3 + 34*i**2 + i - 13. Let m be s(17). Suppose m*p + 2*o = 2436, 1202 = -4*p + 6*p + 5*o. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 84 = -12*h. Solve -8*c - h = 36 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23872 is divided by 477.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 + 1 - 0)*285\/(-60). Which is the third smallest value? (a) 1\/2 (b) -1\/5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 11:30 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.361211 times 0.21?\nAnswer: -0.07585431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 48 - -77249. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 1 (c) 0.1 (d) 1.8 (e) -41\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 89*q - 265. Let s be r(3). Solve z + 0 = 2*k + 1, 0 = -s*k - 4 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 20063 (b) -1 (c) -37\/6 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 8:47 PM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.061 + 0.0959\nAnswer: 0.1569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -922 + 940. What is the smallest common multiple of 20 and l?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 26, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7271936 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2720715 to the power of 1\/2, to the nearest integer?\nAnswer: 1649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1214488633 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 5*y = -7*y, 56 = 13*c - 5*y + 129 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*z + 649 + 407. Let o be 9\/45 - z\/10. Solve c + o = -p, 5*c - 2*p + 3*p = -5 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 1 - 2)*(-1 + 3 + 0)*(-1 + 8 - 3)*(26 - 26 + 9*w)*(-3*w + 4*w - 3*w)*(-3 - 2 + 3) in the form n*w**2 + v + a*w and give n.\nAnswer: -1440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*q - 3*q + 646 - 646.\nAnswer: -16*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2 + sqrt(832) + -2 + 0.\nAnswer: -3 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 d when three letters picked without replacement from iadpihziiddipiidz.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -7*f. Let d(c) = 1307*c. What is d(m(y))?\nAnswer: -9149*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(160\/56))\/(686\/504)?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -690 + 691. Let h be t*-4 + 40\/(-12) + 8. Which is the nearest to 2? (a) 0.02 (b) 1 (c) 2 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*y - 20*y + 161. Let z(g) = -43*g**2 + 22*g**2 + y*g**2. Let i(v) = -8*v**2. Calculate z(i(u)).\nAnswer: 128*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 5*s + 20, -3*t + 8572 = -s. List the prime factors of t.\nAnswer: 3, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + 6*d**2 + 4*d - 1. Let q be g(-5). Suppose -q*y + 53 = -103. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of u**3\/3 + 4*u**2 + 7*u - 3. Let a be q(-5). Let f(c) = -c**2 - 11*c - 12. List the prime factors of f(a).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 12:47 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/31 + 89\/62. Which is the closest to r? (a) 2\/21 (b) 5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83\/((-49385)\/(-2550))*14\/18?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 + 3045 + 1 - -2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**3 - 1 + 0*p**3 - 1 + (-p - p + 4*p)*(-2*p**2 - 5 + 5) + 4*p**3 - 3*p**3 + 0*p**3.\nAnswer: -5*p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.03 + -1.97. Let a = -3.2 + -0.6. Let f = a - 1.2. What is the smallest value in f, m, -0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -60 + 57. Let s(m) = -34*m**3 + 4*m**2 - 7. Is s(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3752*q**2 - 3*q + 3*q + 3748*q**2 - 10 as r + l*q + u*q**2 and give r.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4476.29 centimeters to kilometers.\nAnswer: 0.0447629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18 + (5 - 24) + (-4)\/((-2)\/2). Find v such that -6*v**4 + 2 - 24*v**2 - 77\/3*v**g - 7\/3*v = 0.\nAnswer: -3, -1, -1\/2, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/40 and -47\/45?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 103488331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/171 and 81\/4.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from bbbiwiwibiwiwww.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39054 and 3962.\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3*y**4 - 6*y**2 + 6*y + 7. Let i(w) = 8*w**4 + 17*w**2 - 17*w - 21. Let b(c) = 6*i(c) + 17*j(c). What is the derivative of b(o) wrt o?\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5103\/(-2268))\/(6\/(-2152)). Solve -6*w = -849 + c for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 171, 181, 201, 231, 271, 321, 381?\nAnswer: 451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-b**2 + 21*b**2 + 0*b**2)*(-13*b + 3*b - 11*b) to k + h*b**3 + l*b**2 + v*b and give h.\nAnswer: -420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*o = 20*o + 9, -3*x - 4*o = -12 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uq when two letters picked without replacement from {q: 5, z: 1, u: 14}.\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -10*((-64)\/(-40))\/(-4). Suppose -3*v - 9 = 3. What is the units digit of (v\/8)\/(d\/(-432))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k - 208*k**3 - 20*k**2 + 207*k**3 + 0*k + 24. Let j be w(-20). Let y = -20 - -22. Put -0.4, y, j in descending order.\nAnswer: j, y, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 10*v**2 + 9*v + 18. Determine a(11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -964 + 956 + 12 + 2\/(-1). Factor 14\/5 - 12\/5*j - 2\/5*j**d.\nAnswer: -2*(j - 1)*(j + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + u = -42, -145*z + 148*z - 42 = -4*u. Solve 19 - z = q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t + 3*t + 6*t)*(7 + 5 - 2).\nAnswer: 40*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + h = -17, -4*c + 3*h + 66 + 6 = 0. What is the tens digit of c\/((-3)\/(-10) + 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3035.2 less than 0.1?\nAnswer: 3035.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 - 4 - -2)*3. Suppose -5*c - 2*h - 7727 = 0, -m*c + 0*h = -5*h + 4630. Let t = 205487\/133 + c. Is t smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 7*s - g + 10, 2*s = 3*g - 10. Is 116 + s + -3 + 4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 8:52 PM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.392 - 0.118. Let w = -0.16 - h. Let x = w + 7.45. Round x to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -102713, -102731, -102749, -102767?\nAnswer: -102785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 5:09 PM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*6\/((-8)\/4)*2. Let r be 3750*(f + 6668\/6). What is r rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 449783788 to the nearest integer?\nAnswer: 766","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1100*a + 1097*a + 1108*a + 1098*a - 4414*a.\nAnswer: -11*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 (base 7) in base 4?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2857 is divided by 434?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -43 - -51. Let f = 4.4 + -1.4. Let q = f - s. Which is the second biggest value? (a) q (b) -2\/13 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2975730 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 59508 and 464.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-9))\/((-10112)\/(-17064))\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8 (b) -0.4 (c) 3 (d) -1\/9 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 14*n - 149. Suppose 0 = 2*j + 5*s - 10 - 2, -s = 5*j - 53. Let a be f(j). Let u(y) = -y**2 + 2*y + 8. Give u(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*p - 157*p + 8 - 13 - 2 to w + i*p and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21241, -21240, -21239, -21238?\nAnswer: -21237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 6 = -4*y, -g - y = 2*g - 10. Solve -w = -3*w - g*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - sqrt(20)) + -1)**2 + 3 + sqrt(180) + 1.\nAnswer: 10 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (68*j**2 - 5 + 7 + 2*j - 67*j**2)*(-3*j + 5*j - 6*j).\nAnswer: -4*j**3 - 8*j**2 - 8*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -27, -0.1, -2?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 3 = 5*a, -2*l + 2*a + 58 = 0. Is l a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97222 is divided by 23877?\nAnswer: 1714","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -42d7 (base 16) in base 12?\nAnswer: -9a9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 4. Let p = y - -2. Is 14 a factor of (1 + (24 - p))\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*p + 20 + 57 = 9. Let y(r) be the third derivative of 5\/24*r**p - 1\/30*r**5 + 0*r + 0 - 25*r**2 + r**3. Give y(5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -53 + 107. Is l a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16400417.\nAnswer: 11, 263, 5669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, z: 2}. What is prob of picking 2 z?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 24, 36?\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 8. Let d be (-2 - -12)*36\/o. Suppose -6*s + 58 + 14 = 0. Calculate the highest common factor of d and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-7)\/(-2) + -1)\/(0 + -1). Let v = -20 - -21. Let l(x) = -4*x**3 + 2*x**2 - 2*x. Let w be l(v). Which is smaller: w or m?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmffmm. What is prob of picking 3 m?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001000011100111011111 - 10?\nAnswer: 11001000011100111011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/48510 and 151\/13230?\nAnswer: 145530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 9*h**2 - 21*h + 7. Calculate s(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*a + 5*a + 0*a**3 + a**3)*((-1 + 1 - 2*a)*(a + 4*a - 8*a) + 3*a - 2*a**2 - 3*a + 8*a**2 + 34 - 34).\nAnswer: 12*a**5 + 180*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137323 = z + x + 18836, -4*x - 355461 = -3*z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4 + 1 = -2*t, -2 = 2*x + 2*t. Let h(j) = j**3 + 7*j**2 + 2. Let g be h(-7). Let c(r) = -r**x + r**2 - 4*r**2 - g*r + 4*r + 2. Give c(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21.6 + 21.7. Does b = -32\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47381 to the power of 1\/2, to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.659532897 to 3 decimal places.\nAnswer: 3.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4826.\nAnswer: 2, 19, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 41 * -4837.\nAnswer: -198317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68378254?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 - 5*j + 2. What is the remainder when 30 is divided by f(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -5. Suppose -5*j = -2*u - 3*u, 0 = v*u. What is the second smallest value in j, -4, 0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66639 (base 11) in base 3?\nAnswer: 11220111210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2146 = 20*x - 4254. Suppose -365 + x = -9*t. Solve 8 = -5*g - f, g + g + t*f = 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*g + 5*s + 1137 - 1153, s = -5*g + 7 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -762, -700, -604, -480, -334, -172, 0, 176?\n\"Answer: -o**3 + 23*o**2 - 784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5278 and 486450263.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 times -109\nAnswer: -2.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -643*z**3 + z**2 + 1 + 4*z + 644*z**3 + 99*z**2 - 4*z as p + h*z**2 + t*z**3 + s*z and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z\/z**0*z)**23*z**(-1\/12)*(z*z**(2\/3)\/z*z)\/z)\/((z**(1\/3))**41)**5 assuming z is positive.\nAnswer: z**(97\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111 is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/15)\/(-3*(-2)\/15).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1286 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4086 + -18?\nAnswer: -19.4086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 4*u**3 - 129064*u**2 + 387164*u - 258104 = 0.\nAnswer: 1, 2, 32263","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 4) + (-5 - -2 - (-18 - -9)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.028*-460.73.\nAnswer: -12.90044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -113 - -157. What is the smallest common multiple of u and 348?\nAnswer: 3828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 3)*(-95 + 95 + 5*t)*(4*t - 4*t + t).\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 + 27*b + 63. Let k be j(22). Suppose -2*u - 4*y = -100, -2*u + 5*y + k - 37 = 0. Does 16 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -1 - ((3 + 2 - -10) + -27)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 1 + 4. Let x(s) = -s**2 + 4 - s**2 + 3*s + 3*s**2. List the prime factors of x(b).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 5424*k - 3. Give p(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1401581, -1401580, -1401577, -1401572?\n\"Answer: w**2 - 2*w - 1401580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + -3 + (3 - -4 - 0) - -12 - -64.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 + s - 1. Let x(h) = -5*h**2 - 6*h + 5. Let a(c) = -6*m(c) - x(c). What is the remainder when ((-153)\/(-6))\/(3\/4) is divided by a(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31412115 (base 6) to base 14\nAnswer: 19d075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200220202201022 (base 3) to base 11.\nAnswer: -5747323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 + 23 - 317*r + 80*r.\nAnswer: -237*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1423189489 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v + 18*v - 24*v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -18.391 and 8.\nAnswer: -147.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 7. Let s = y + -0.99999945. What is s rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**6\/w**(-1))**(2\/45)\/((w*w\/w**(-1)*w*w*w**(-2\/7))\/(w*w\/w**0)**16) assuming w is positive.\nAnswer: w**(8693\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.4 + -2.6. Let f(v) = -v - 6. Let d be f(-3). Which is the nearest to -1? (a) -0.5 (b) x (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65310*w - 1093*w**3 + 65095*w + 1090*w**3 - 130405*w.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 23317624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 10) to base 13\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -36 smaller than -34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -12*(8\/(-42))\/(10\/35)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/15 (b) -57 (c) -3 (d) -4\/3 (e) 3 (f) -33 (g) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence usu when three letters picked without replacement from uusuuuuuusuuususuuu.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 - 6*d + 1. Let m be (-1)\/((-5)\/(-10)) + 72. Let w = m - 77. Calculate a(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 1397*u + 54. Let m be g(1). Solve 1421 = 10*x + m for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2603, -2557, -2513, -2471, -2431, -2393?\nAnswer: -2357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1108 - 9*b - 13*b**2 + 902 + 959 + 1423.\nAnswer: -13*b**2 - 9*b + 2176","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18795 is divided by 148.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 27660*c - 2766000. Calculate v(100).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, c: 3, m: 2, t: 3, u: 3, a: 1}. Give prob of picking 1 u and 1 c.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 5*n = -25, -8*p - 270*n = -274*n - 16 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*c + c - 324. Does 9 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n = 535 - 507 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.9 - -1.1. Let f = -5.2 + o. Let l = 0 - f. What is the third biggest value in -4, -1\/3, l?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (41 - 2) + 7 - -2. Calculate the highest common factor of 3 and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.07 and -44013.\nAnswer: -3080.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -11000001011000 (base 2) in base 7?\nAnswer: -51040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 170*f. Suppose j + 1 = 6. Let z(q) = -q**3 + 4*q**2 + 4*q + 4. Let s be z(j). Let r be y(s). Round r to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4450 (base 6) to base 3\nAnswer: -1102110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -7.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3246, 6497, 9752, 13011?\nAnswer: 16274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 101754217 to the power of 1\/2, to the nearest integer?\nAnswer: 10087","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, n: 1, f: 10, i: 3}. Give prob of picking 1 n, 1 p, and 2 f.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -8960.6 - -21034.59015\nAnswer: 12073.99015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-9)\/(-12))\/((-102)\/(-544)). Solve -8*p + 12 = -t*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 4, 2*g + q = 5*g - 40. Suppose -3*p = -4*n - 13, -3*n - g = -5*p + 5. Let i(z) = 8*z**2 + 1. Determine i(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6633?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*p**2 + p**2 - 7*p**2 + 14*p**2.\nAnswer: -10*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -882.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7454.\nAnswer: 2, 3727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f - 12. Let o be s(-14). Suppose 2*t + 1 = 3*t, -3*t = o*a - 53. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/266662 and 41\/558.\nAnswer: 2399958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, i: 1, w: 2, o: 2, q: 1, l: 1}. What is prob of sequence alq?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -523 + 580. Solve -t + p = 53 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5*s = 5*c - 17, 4*s - c = 3. Suppose 5*r + 5*o - 3760 = 0, -2*r - o + 1503 = s*o. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.75 + -3.7. Let p = -0.05 + i. Let h be (2\/(-12))\/((-7)\/(-28)). What is the second smallest value in h, 5, p?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -273, 6, 0.3, -4, 2\/5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38 + p - 28 + p)*(3*p**2 - p**2 + 0*p**2).\nAnswer: 4*p**3 + 20*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -6*d**2 + 21*d + 11. Let x be o(11). Let a = -407 - x. Suppose 0 = -2*h + 25 + 33. Calculate the remainder when a is divided by h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 7 + 5. Let k(v) = v**3 + 5*v**2 + 7*v + 12. Let g be k(-4). Solve o*i + 4 = g, -5*h + 3*i = -h - 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*t + 1903 = -150*t - 49 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1 and -136.\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + -2 - 0) + -7 + 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 161318 and 5105?\nAnswer: 806590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6903 less than -71.6?\nAnswer: 6831.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0236 rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 444669.1 nanometers?\nAnswer: 0.04446691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4788 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1454958492?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, -55 in descending order.\nAnswer: 0, -3, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 852 and 13198752.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9894.\nAnswer: 2, 3, 17, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4, -2, 8, 32, 76, 146?\n\"Answer: k**3 - 2*k**2 + k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*f = 21*f - 32. Suppose -f*y = 4*y - 12. Suppose -7*n + 5 = -6*n. Put -2, y, n in descending order.\nAnswer: n, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 930597 = 930604?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 110 + (-67 - -4) + 31?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 764 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 313 or 76.6?\nAnswer: 76.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 3*q + 6306, -3*p + 5*p + 3*q = 4205. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by 72042834.\nAnswer: 2\/12007139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 6*k - 17. Suppose k*o = 4*o + 24. Suppose o*x - 450 = -2*x. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/43 or 0.0406?\nAnswer: 0.0406","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/2 - -3 - -12. Suppose 6*g + 2 = l. Suppose 0 = -5*b + 3*h + 779, 0*h + g*h = -3*b + 475. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-18) - (-9)\/(-54). Which is the third smallest value? (a) 3 (b) s (c) 250\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6192223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2271 (b) -0.0416 (c) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -45.9 + -6.1. Let i = t + 52.2. Let k = -0.08 + -0.02. Which is the closest to k? (a) -2\/9 (b) 4\/7 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c (base 16) in base 7?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -244 + 248. Suppose 7*a = 5*a + 10. Suppose u*j = -4*q + 24, j + 7 - 29 = -a*q. Solve d + 15 = -q*w, w = 4*w - 3*d for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 4*n. Let h(p) = 4*p. Let a(l) = -4*h(l) + 3*r(l). Let m(d) = -d. Give m(a(j)).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/((j*j**(-1\/2)*j)\/j)*j**(-5)*(j*j*j\/(j\/j**(-1)))\/(j*j**(-4))*(j**(-4\/11)\/j*j**(2\/21))**(-19\/2) assuming j is positive.\nAnswer: j**(2668\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14581 - 14563. Solve 17*x + 280 = -r*x for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*g + 144. Calculate the remainder when 232 is divided by g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.107 + 125\nAnswer: 125.107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -14. Suppose 5*b - 27 = z. What is the greatest common divisor of 64 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 2*b**2 + 2*b + (-3*b + 3*b + 3*b)*(3 + 2*b - 3))*(6 - 3 + 1).\nAnswer: 32*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x**5\/9 + 128*x**4\/9 - 296*x**3\/3 + 1280*x**2\/9 + 2300*x\/9 = 0 for x.\nAnswer: -1, 0, 5, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 436980 + -436983.66502. Let a = 0.03398 - f. What is a rounded to 1 dp?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from usuuhbiu. Give prob of picking 1 i and 1 s.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 2*f + 3*q + 20, 4*q + 20 = 0. Let r be (-6)\/((-6)\/f)*2. Let g(i) = -i - r + 17 + 1. Let u(y) = -y**2. Determine g(u(k)).\nAnswer: k**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*o**2*x*z + 53*o**2*x + 9*o**2*z - 38*o**2 + 35*o*x + 22*o*z - 3 with respect to x.\nAnswer: 4*o**2*z + 53*o**2 + 35*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = j - 7, -m - 3*j = -0*j + 12. Suppose -m*t + 8*t = 60. What is the greatest common divisor of 4 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -7. Let q be 4\/3 - p\/(-6). Let m(l) = l**3 + 2*l**2 + l - 2. Let s be m(1). Solve -q*g - 2*b = 16 + s, -2*g = 5*b + 30 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -72*z**2 - 139*z. Let l(g) = -2*g. Give m(l(y)).\nAnswer: -288*y**2 + 278*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than 4168?\nAnswer: 4167.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 3:10 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*f - 0. Suppose -2*l = -3*d - 0*d + 161, f*d + 5*l = 82. Suppose -4*s = -3*b + d, 0 = 3*b + 2*s - 5*s - 48. Is b a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 756 - 192. Suppose -d - u = -4*d. Let n = d - 101. List the prime factors of n.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 42 + -15. What is the least common multiple of (b - (-4 - -1))\/2 and 3 + 3\/(18\/24)?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 4 - (-18 - -10) - 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**4\/9 + 68*v**3\/3 - 902*v**2\/3 + 8224*v\/9 + 3712\/3 = 0 for v.\nAnswer: -1, 8, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -4*u + 3. Let k be 2\/9 - (-595)\/(-45). Let v = -21 - k. What is the remainder when p(v) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(1\/4))\/(u*u*u\/u**(-8)))\/((u\/(u**(-2)*u))\/(u**(1\/7)\/u)) assuming u is positive.\nAnswer: u**(-353\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 60 - 107. Let r = h + 46.96. Which is the second biggest value? (a) r (b) -2 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7227 = 5*v + 4*d, -94*d = v - 91*d - 1430. What is the remainder when v is divided by 39?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20.9 times -1.3\nAnswer: 27.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2878583.9 * 5\nAnswer: -14392919.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5720?\nAnswer: 2, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (((-546)\/147)\/13)\/((-1)\/(-35))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1124\/14 + (-4)\/14. Let j(z) = z - 4. Let u be j(12). Calculate the greatest common factor of k and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/47872 and -47\/32164?\nAnswer: 2058496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8720572.00003 + 8720534. Let t = -38 - i. Round t to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28987\/2296 + -1*13.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/(-15) - (-87608)\/131448. Is b equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 338 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 65 + ((-15)\/6 + 3)*2. Let s(b) = -523*b + 261*b + 261*b + p. Let h(g) = g. Calculate s(h(l)).\nAnswer: -l + 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -19*y**2. Let l(s) = 7731*s**2. Give v(l(f)).\nAnswer: -1135598859*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*r + 5. Suppose 3*n + n = 0, r*i = 3*n + 100. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3*a**3 + 2*a**3 + 1 - 3 + a**2 + 9*a - 2*a**3. Let r(u) = -u**3 + 4*u - 1. Let k = 6 + -8. Let b(q) = k*o(q) + 5*r(q). What is b(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*q**3 + 185*q**3 - 35 - 35 - 39*q**3 + 70.\nAnswer: 33*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 34834804 + 34?\nAnswer: 34834838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -5.6. What is the closest to 0.2 in u, -0.3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 54683806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0008735901 to 5 dps.\nAnswer: 0.00087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 17*w**2 + 50*w - 21. Let j be t(-13). Put 13, -2, 1, j in increasing order.\nAnswer: -2, 1, j, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/4*(420\/(-50) - -8) - 31208\/(-1660).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b**2 + 3*b + 11. Let d(x) = -x**2 + 9*x + 4. Let q be d(9). Let j be c(q). Is j\/(-1)*40\/30 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/7? (a) 86 (b) 3 (c) 183 (d) 0 (e) 1\/5 (f) -3\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 9) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 7:28 AM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*x + 4, 5 = 5*y - 5*x. Suppose -5*c = -y*c. What is the tens digit of -13*(1 + c)*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 107263585.8 to the nearest ten thousand.\nAnswer: 107260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 AM and 7:17 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4427 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, o: 9}. Give prob of picking 3 h.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5*-7*6\/15. Let h be -1*c*9\/6. Suppose -2*d + 7*d + 9 = v, 5*d = 4*v - h. What is the greatest common divisor of v and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, r: 3, t: 1, d: 1, o: 1}. Give prob of picking 1 o and 1 j.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*t - 6 = 70*t - 2*n, -3*t + 4*n = 17. Let x = 15 - 15. Sort -6\/11, -0.5, t, x in increasing order.\nAnswer: -6\/11, -0.5, x, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1690150640?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.06 - -0.04. Suppose 29*c - 10*c + 931 = 0. Which is smaller: f or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -4 + 3*x - 2*x - 2*x + 9. Let v be q(5). What is the units digit of 4 - 8 - (-8 - v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -482*h**3 + 357*h**2 - 178*h**2 - 179*h**2.\nAnswer: -482*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/2 + -1)*(-3 + 5). Let r be -3 - (2 - v) - -5. Solve 3*k = -3*z - 2*k - 14, 0 = r*z + k + 7 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101 (base 2) to base 7.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -659\/42 - -104\/7. Let z = -7 - -5. Which is greater: k or z?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 - 32. Let p be (-2)\/m + 48\/10. Suppose p = t - 0. Solve 5*n - t*b = 5, -3*n + 0*n = 5*b + 13 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3\/5139887?\nAnswer: 3\/5139887","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 73494493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of 7*t**8\/48 - 47*t**5\/60 + 3*t**2 - t. What is the third derivative of z(h) wrt h?\nAnswer: 2940*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 5 - 25. Let z be (16\/12)\/((-9)\/(54\/f)). Let i be z\/(-3)*9\/(-3) - -2. Solve 0 = -u + 3*u + q - 1, -3*u + 4*q - i = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b**(3\/2)*b*b)*b**(-21) assuming b is positive.\nAnswer: b**(-47\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3649650 divided by 4195.\nAnswer: -870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + 2\/(10\/(-65)))*1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of -m**5\/60 - m**4\/4 + 5*m**3\/6 - 32*m**2 + 1. What is x(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/163355 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -291, -3\/5, 1, 0, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.78979ug?\nAnswer: 789.79","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -32516\/3 (b) -5 (c) 0.3 (d) -0.67\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -84 + 86. Let a be (14\/(-6))\/(-7) - (-1)\/(-3). Solve p = b - a for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-2 + sqrt(1872) + 1)*4 + -2 + -5)**2.\nAnswer: -1440*sqrt(13) + 269593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -53 and -6496554.\nAnswer: -6496607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(4050)*2 + 3)**2*-3.\nAnswer: -48612 - 1080*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 2*a + 20. Suppose 0 = v + 1 - 8. Let t(o) = o**3 - 6*o**2 - 8*o + 7. Let s be t(v). Solve n - a*n - 20 = s for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -124 - -125. Suppose -2*w - a = -53. Calculate the remainder when 61 is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 66242?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - 7*u + 3*u)*(-4*u + 3*u + 7*u) - 6*u**2 - 6*u**2 + 11*u**2.\nAnswer: -7*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -969, -1940, -2901, -3846, -4769, -5664, -6525, -7346?\nAnswer: -8121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 - 3*z + 4. Let t(r) = r**2 + 3*r - 4. Let i(b) = 5*m(b) + 6*t(b). Determine i(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 16*n**2 + 16*n - 3. Let z be t(15). Suppose -2*s - z = -18. What is the units digit of 2*((-9)\/(-2))\/s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 2692?\nAnswer: 8076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d + 47. Let n be s(10). Suppose i - 4*v = -n, 2*i + 4*v - 35 = -3*i. Let f(w) = -4 - i*w + 4*w**2 - 3*w**2 - 3*w + 10*w. What is f(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2513.74 to the nearest ten.\nAnswer: -2510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - ((1 - (4 + 3)) + 2 - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 154 + -153.99999867. Round w to seven decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - 3*x + x)*(400 - 40 + 47 + (1 + 2 - 2)*(-3 + 0 + 2) - 1 + 4 - 1 + 2 + 0 + 0).\nAnswer: 410*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 5*x**2 - 7*x + 2. Let s(h) be the first derivative of h**3\/3 - h**2\/2 - 2181. Determine -d(i) + 4*s(i).\nAnswer: -i**2 + 3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = n - 3*h, -8 = 50*n - 51*n - h. Let z(d) = 2*d**2 - 2*d - 27. What is z(n)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.05094 and 1537.09.\nAnswer: 1537.14094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k**5 + 681*k**4 + 23319*k**3 + 134931*k**2 - 3565401*k + 4962312 = 0 for k.\nAnswer: -41, 3\/2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -96*s + 2. Let c(i) = -i - 1. Determine 2*c(a) + v(a).\nAnswer: -98*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*u = 11*u - 54. Put -5, -16, u, 1 in ascending order.\nAnswer: -16, -5, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, 139, 307, 553, 883, 1303, 1819, 2437?\nAnswer: 3163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11649654937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/13)\/(b**(-2\/15)\/b*b*b))**(-32)\/((b**1)**43*b**2*b**3\/b*b*b*b) assuming b is positive.\nAnswer: b**(-3382\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 203*t + 274*t + 70 + 243*t - 21.\nAnswer: 720*t + 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -0.0042, -2\/53, 2 in descending order.\nAnswer: 2, 2\/7, -0.0042, -2\/53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*l - 9*l = 28. Find the second derivative of -32*r**3 + 11*r**5 + 32*r**3 - l*r - 8*r wrt r.\nAnswer: 220*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2034 and 90?\nAnswer: 10170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from {v: 3, s: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -407*d + 412*d - 2*f, d + f + 15 = 4*f for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**2 + 52*t + 45. Calculate l(27).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*(6 - 96\/15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/o**(2\/27)))\/(o**3*o*o*o*o))\/((o*o\/o**(2\/7)*o*o*o)\/o**(-7\/5)) assuming o is positive.\nAnswer: o**(-12323\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -1680*o - 13463. Give l(-8).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) -26 (b) -2\/7 (c) 1\/3 (d) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l + 7*l - 3*l - 1324*l**3.\nAnswer: -1324*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -119 - 113 + 18*i**2 + 232 - 7*i**2. Let l(z) = -2*z + 18. Determine l(j(v)).\nAnswer: -22*v**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1484?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40 - 0. Suppose 0*t - n = -p + 5*t, -5*p = 3*t - 60. Calculate the lowest common multiple of p and 27.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 17*l**2 - 18*l + 6. Let z(m) = -100*m**2 + 105*m - 35. Let h(x) = 35*u(x) + 6*z(x). Let r(w) be the second derivative of -w**4\/4 + w. Give r(h(o)).\nAnswer: -75*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -29*v**2 + 85313*v - 510849. Give q(6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.80358 minutes to hours.\nAnswer: 0.013393","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -3253*v - 16270. Determine h(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72892 is divided by 36432.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057)*1)**2 - (sqrt(17) + -3 + -1 + sqrt(17)) - (sqrt(2057)*-1 + -2).\nAnswer: 9*sqrt(17) + 2063","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -5*j - 3. Let b be r(-1). Find the third derivative of 5*z**2 - 12*z**6 + 7*z**2 - 2*z**b wrt z.\nAnswer: -1440*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 5*l - 3. Calculate q(4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -124, -10, -4, 29 in decreasing order.\nAnswer: 29, -4, -10, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 5*v + 501019 - 501094 = 0, -5 = -9*w + v for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - 18*u**2 - 17*u - 35. Let n be p(19). Does 59 divide 1\/n*(1 - -521)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/12)\/(b*b**14))\/(b\/(b\/((b**1*b)\/b)))**49)**36 assuming b is positive.\nAnswer: b**(-2301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -105 - -470. What are the prime factors of t?\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -3 + 13 + 13*c + 0*c - 3*c. What is the remainder when 117 is divided by b(2)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -3. Let s = a + -1. Suppose -3*g - s = -4*g. Let l(v) = 2*v - 1. Determine l(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of -m**5\/30 - m**4\/12 - m**3\/2 + 8*m**2. What is c(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = 122 + 67. What is the greatest common factor of x and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 972?\nAnswer: 4860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -87*q - 466311 + 468834 for q.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1584*k**3 + 1 + 188*k**2 - 189*k**2 - 356*k**3 to l + x*k**2 + m*k**3 + o*k and give m.\nAnswer: 1228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -9*(-8)\/(-1968)*(-2 + 20). Which is bigger: 0 or y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -56018, -56016, -56014, -56012, -56010, -56008?\n\"Answer: 2*o - 56020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-84180)\/36)\/(-23)*(8\/10)\/4.\nAnswer: 61\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 4*l. Let m be 2\/((-84)\/(-27)*(-6)\/(-4)). Which is smaller: l or m?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -139 - -213. Let z = c - 2. Does 18 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - -10. What is the remainder when r is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/6 + 13\/6. Let q(d) = 4*d**3 - 3*d**2 + 3*d - 4. Let x be q(f). Let u = -340 - -582. What is the highest common factor of u and x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1173161 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31 - 27. Suppose 0 = -3*d - 2*j + w + 10, d + 2*j = 6. Is 2 greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -8503, 142, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 73 + -77. Let i be 9\/(126\/(-80)) - v. Which is the closest to 0.1? (a) -4\/5 (b) -2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10338 (base 13) to base 4\nAnswer: 13012323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -3, 0.\nAnswer: -3, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 65499 by 3.\nAnswer: 21833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 77, 14\/13, 5\/2, 10, 2\/7, 4\/7.\nAnswer: 2\/7, 4\/7, 14\/13, 5\/2, 10, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -58 - -82. Let u(g) = -g**3 - 5*g**2 - 5*g - 5. Let o be u(-4). Does 20 divide (b\/(-18))\/(o\/30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 0*x - 25. Let d be -5 - 3*(2 - x). Is (-1)\/d + (-48531)\/(-28) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1088, -5, -4, 4, -2.\nAnswer: -1088, -5, -4, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(((-4)\/14)\/(6996\/1484))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -184a?\nAnswer: 1845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.20782 - 5.21403. Let m = u + 1.998. Round m to three decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 22*g + 201 - 48 - 60 + g**2. Let w be u(-17). Solve 0 = j + j + 4*d - w, -5*j - 2*d - 12 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209912820 divided by -18317?\nAnswer: -11460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6 - (-32)\/8)*(-2)\/5. Let m be (6\/(-9))\/((0 - p)\/12). Let q = -58 - -291\/5. Which is the nearest to -4? (a) q (b) m (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 3*p + 12 = 0, 0 = -5*i - 0*p + p - 14 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 11*b**2 - 7*b + 11. Let c be q(11). Calculate the common denominator of 6*1\/2 + 316\/c and -19\/15.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 2*q)*(5*q**3 - 22*q + 22*q) - 2*q**4 - q**4 + 4*q**4 - 137 - 136 + 273 - 131*q**4 to the form v*q**2 + p*q**4 + r*q**3 + m + j*q and give p.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and -45.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 - 179*f - 1682. Let y be j(-9). What is the greatest common factor of 10130 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 0 - 3 = -3*c, -4*c = 2*m - 4. What is the closest to 2\/5 in m, 1\/2, -1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20966 + 20966. Let q(p) be the third derivative of 0*p - 7*p**2 + 0*p**3 + 1\/60*p**5 + h + 0*p**4. Let c(g) = 28*g**2. Determine c(q(w)).\nAnswer: 28*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*x**2 + 1 - 1 + 0.\nAnswer: -86*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(((x\/x**1)\/x)\/x))**23)**(-6))**(-23) assuming x is positive.\nAnswer: x**9522","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -36*i*x - 30*i - 2 wrt x?\nAnswer: -36*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4702 - -6542. Is 8 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19 - 22 + 44 - h - 2*h + 2*h + 2*h + (1 - 1 - h)*(5 - 2 - 5) + 2*h - 3*h - h to the form x + i*h and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 1\/4 (b) 42 (c) 6 (d) -14 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 275*q - 2973. Calculate the remainder when d(11) is divided by 44.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 513\/4 + -129. Let l = 0.1 + 0. What is the nearest to l in 0, i, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -114202223 (base 5) in base 10?\nAnswer: -537813","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 451403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/(-42))\/((-22)\/(-8)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ecvvevcpepeyepeve. What is prob of sequence yeep?\nAnswer: 3\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8.5 - -33.2. Let y = -25 + h. Which is the nearest to y? (a) -2 (b) -2\/7 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167720 (base 14) in base 12?\nAnswer: 320680","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 64 = -4*x, -2 = -4*x + 18. Suppose -i - 32 = -c. Let d = 25 + i. Is 2 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 6 + (-7 + -59 - -53)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -94 - -41?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -6978*g + 14302. Calculate f(2).\nAnswer: 346","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 34, 84, 154?\nAnswer: 244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -428, -858, -1288, -1718, -2148?\nAnswer: -2578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-18)\/x**(-2\/43))**(-3\/19))**(-15\/7) assuming x is positive.\nAnswer: x**(-34740\/5719)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -330, 62, 452, 840, 1226?\n\"Answer: -c**2 + 395*c - 724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176 = -10*j + 324. What is the highest common factor of j and 650?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z - 3*z + 7*z + (5*z - 8*z + 4*z)*(-6 - 4 - 33) in the form i + w*z and give w.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 129 and 11533761?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 111192\/(-9840) + (-18)\/(-10)\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 4*q**2 - q + 4. What is w(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/7*(-3 - (-22 + -72)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o**5 + 79200010*o**4 - 313631841599885*o**3 - 1881793188000120*o**2 - 2822690851200720*o = 0. Calculate o.\nAnswer: -3, 0, 7920004","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n = 3*n - 10, n - 14 = -4*i. Suppose 0*t = -i*t + 60. Solve -b + t = 2*b, -u - 28 = -5*b for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 34*d + 38. Let b be m(-1). Sort -2, b, -3, 261.\nAnswer: -3, -2, b, 261","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 9. Let o(y) = y - 29. Let u(g) = -10. Let d(a) = 4*o(a) - 11*u(a). Let n(x) = -x + 2. What is h*n(r) + 2*d(r)?\nAnswer: r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + 22*g - 6. Calculate l(3).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 12 = 7*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-46)\/(-18)*1 + 1. Suppose -5*w - 18 = 7, -4*c + 1590 = -2*w. Let r = c - 392. Is h <= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36813 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 543 - 16*z**2 + 2*z - 543 + 13*z**2 - 2*z**2.\nAnswer: -5*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5667, -5643, -5595, -5523, -5427, -5307?\nAnswer: -5163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - -1)\/((-2)\/44). Let b = 42 + y. Calculate the remainder when 114 is divided by b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1120 - 11100120211?\nAnswer: -11100112021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 - 23. Suppose -k - d = 8, k - 2*d + 0*d + 11 = r. Let q be 0 + 0 - 30\/k*-3. Is q at least -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 74 - 71. Let a be (9\/6)\/w*0. Solve z = -a*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 3*u + 9 = 0, -u - 1 = -m + u. Suppose 4*o + 5*n - 18 = -0*o, 3*n + 4 = m*o. Suppose 111 = o*s + s. Does 12 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - s**2 - s + 2. Let p be o(0). Suppose 10 = 3*j - p. Let z be (-8)\/(-21) + 2\/(-3). What is the closest to z in 3, -2, j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000086922 to 7 dps.\nAnswer: -0.0000087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -5\/19 (b) -1.1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f + 69. What is o(18)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 13 + 0 + 0 - 9*w to q*w + v and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = 40*x + 1. What is q in -2*q + 3*q**2 + 1\/2 + 1\/2*q**4 - x*q**3 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/84 in 1\/3, 27, -1, 2\/13, 0.51?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (1\/5)\/((-7656)\/4060*(-2)\/16*-14)\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113 is divided by 22.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1747 + 3817 = -2612*f - 2272 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bk when two letters picked without replacement from {k: 1, b: 1, d: 3, t: 3, j: 2, n: 1}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-19 - -7)\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of -2*d**5\/5 + 4*d**2 + d. What is the derivative of v(z) wrt z?\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 2*v - 2, -4*v - 41 = 2*x - 7*x. Let f be 3 + 0\/(-2) + 1. Suppose 18 = a - 4*s + x, f*a + 2*s - 16 = 0. Is 5 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(432)*-6)\/(sqrt(9)*2*6))**2.\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 3:29 PM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*v, 5*v + 5 = 5*f - 0*v. Let q(a) = a - 3*a + a - f - 2*a. Let h(p) = -2*p + 0*p + 0 - 4 + 0*p. Determine -4*h(d) + 3*q(d).\nAnswer: -d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -275073 (base 8) to base 13\nAnswer: -350c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 171 + 7. What are the prime factors of k?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 4*j**2 - 14*j + 13. Let l be f(6). Calculate the greatest common divisor of l and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -10, 0*h + 3*h - 142 = m. What is the derivative of -27*n + h*n - n + 26 wrt n?\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175 = 7*t - 2*t. Let f = -173\/5 - t. Sort 1\/3, f, -5 in descending order.\nAnswer: f, 1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*n**3*v**2*z**2 - 2*n**3*v**2 - 2*n**3*z + 6*n**2*v*z**2 + n**2*v*z - 34*n*v**2 + 3*z**2 wrt v.\nAnswer: 4*n**3*z**2 - 4*n**3 - 68*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 188 - 185. Suppose 0 = 6*y - y + 3*t - 758, 3*t + 450 = s*y. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4706 - -9722. Calculate the highest common divisor of 11 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -13422*d + 14150. Determine m(1).\nAnswer: 728","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 91991900 by -2860.\nAnswer: -32165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 57749214 to the power of 1\/3, to the nearest integer?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 12:48 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 8 - 1)*(2*m**2 - m**2 + m**2) + (-m**2 + 11*m - 11*m)*(1 + 2 - 1) to the form s*m**2 + g*m + q and give s.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4523\/2 + -2259. Let i(n) be the second derivative of 0*n**2 - c*n**3 + 26*n + 0 + 1\/3*n**4. What is the second derivative of i(k) wrt k?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1884 - 52. Suppose 5*j + 4*b + 49700 = 0, 4*b - 2530 = -4*j - 42294. Let u = d - j. What is u rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7368617\/51965 - 4\/10393. Let a = o + 8443\/60. Find the common denominator of 43\/24 and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18149\/4 + 4537. Sort 0.3, r, 5\/2, 2, 1\/4 in ascending order.\nAnswer: r, 1\/4, 0.3, 2, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -1585, -23624 in decreasing order.\nAnswer: 3, 1, -1585, -23624","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/7 (b) -2\/5 (c) 2\/3 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g + 1. Let i(y) be the second derivative of -y**4\/3 - y**3\/2 - 3*y**2\/2 - 587*y. Determine -i(m) - 4*j(m).\nAnswer: 4*m**2 - m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 0.4 (c) 4 (d) -5 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1056211 is divided by 264043?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000010833 to 7 dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 477, 1989, 4543, 8139, 12777, 18457, 25179?\n\"Answer: 521*b**2 - 51*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -11*(-4)\/4*-1. Let z be ((3\/(-4))\/(h\/(-44)))\/(-1). Factor z + 4 + 43*i**2 + 9*i - 40*i**2 - 1.\nAnswer: 3*(i + 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75420 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*a - 24. Let p = -8 + a. Suppose -p*g - 2*g**2 + 4*g**2 - 4*g**2 + 0*g**2 = 0. What is g?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 402 + 6*p - p - 424. Suppose -h = -4*z + 43 + 14, 0 = 4*z + 2*h - 42. What is the units digit of t(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1881)\/4788*(-12)\/(-22).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 272\/238 - 65434\/(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -203.0584 to the nearest 10.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 5*h - 0*h - 35, -5 = -5*s + 5*h. Let i be (-9 + 22\/s)*(-4 - -2). Solve 5*o + i = -g, 0 - 9 = 4*g + o for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 529, 109, -311, -731, -1151, -1571?\nAnswer: -1991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12033 is divided by 1321?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000106385 to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 5480*u**2. Let o(g) = 20*g. Calculate o(r(d)).\nAnswer: 109600*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-10))\/(((-60)\/(-75))\/(-4)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 90682665 + 14180003\nAnswer: 104862668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 32\/18 - (-4)\/18. Suppose -2*q - 1 = -c - s, 0 = 3*c - 4*q + 3. Let j be 0 + 2 + 1 - c. Solve -3*b + j*k + 19 = 0, -k - 18 = -3*b + 2*k for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47, 47, 45, 41, 35, 27, 17?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + 0)\/((-1)\/(-2)). Let d(h) = 5*h**3 + h**2 - h. Let x be d(1). Suppose 0 = -n + y + 27, 77 = -k*n + x*n - 2*y. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4097*f**4 + 2352*f**2?\nAnswer: -98328*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (8 - 8 - 5) + 381?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 97 divided by 4\nAnswer: 97\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 846 + -847. Let n = -0.2 + 0.2. Let k = n - -0.5. Which is the nearest to 0? (a) d (b) k (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and (-231)\/(-15) - 12\/(-20).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 4*w**2 - w + 4. Let d be j(-5). Let r be (d\/20)\/(12\/(-20))*72. Suppose -8 = 3*s + s, -4*s = -2*y + r. What are the prime factors of y?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 12*s - 1. Let q(i) = 13*i. Give -2*q(z) + 3*v(z).\nAnswer: 10*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -4. Suppose 6*n - 5*n + 18 = 0. What are the prime factors of (-370)\/(-45) - t\/n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -39, 31139, 0.04, 1\/5 in descending order.\nAnswer: 31139, 1\/5, 0.04, -3, -5, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -42995*y + 42998*y + 30 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001386633856 rounded to five dps?\nAnswer: -0.00139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199 is divided by 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**4\/5 - 99*x**3\/5 + 864*x**2\/5 - 768*x\/5 = 0. What is x?\nAnswer: 0, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179 - 109 = -2*z. Calculate the highest common factor of z and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q - 2 - 5 + 9*q**2 + 4 + 4. Suppose 5*k - 4*g = -13, 2*k - 6 = g - 5*g. Calculate the lowest common multiple of 11 and v(k).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0207122 rounded to 3 decimal places?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 90 - 375. Suppose -b - 7 = -g. What is the highest common divisor of 37 and b?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(((sqrt(605) - (sqrt(605) + sqrt(605) + -1))*-1 - (2 + sqrt(605) + 4)) + 0) + 3 + -2)**2.\nAnswer: 729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1070 is divided by 32.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2480, -3778, -5076, -6374, -7672?\nAnswer: -8970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + d. Let u(v) = v**3 + 4*v**2 + 4*v + 3. Let r(o) = -5*f(o) + u(o). Determine r(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -592589959 + 592589959 + 7*y**2.\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5064\/7, 2\/7, 37, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1676521 or 1676524?\nAnswer: 1676521","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**4*d*d*(d\/d**(6\/7))\/d*d)**(15\/7)\/((((d\/((d*d**4)\/d))\/d*d)\/d*d\/d**(3\/8)*d)\/(d**0\/d**(-6))) assuming d is positive.\nAnswer: d**(8443\/392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1))**(4\/7)*(g\/(g\/g**4))\/(g\/g**(-4))*(g\/(g\/g**(-6))*(g*g**3*g)\/g)**(1\/24) assuming g is positive.\nAnswer: g**(-139\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9198)\/(-21483) - (-4)\/(-62)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 4*v**2 + 20*v - 130. Give x(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 971549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, -1, 0.1, -202, 0.4, 0.065?\nAnswer: 0.065","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2905742?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3*4\/21*19\/(-38)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 5*w**3 + 6*w**4 + 21*w**2 + 4*w**3 + 48*w**2 - 96*w**2 + 79*w**2 in the form p*w**3 + c*w + u*w**4 + d + a*w**2 and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 864?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8, 2, 10\/3, 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of c**3\/3 + 70*c. Let z(h) = 2*h**2. Determine a(z(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(-1\/8)*a))\/a)\/a**(3\/35) assuming a is positive.\nAnswer: a**(-269\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -147 + 214. Let p = -94 + g. Let m = 134 + p. Does 12 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*j**3 - 9*j + 15 + 25*j - 15 wrt j.\nAnswer: -102*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 335.5200061 to the nearest integer.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10815 and 3191970?\nAnswer: 1545","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(1\/38)*d*d\/(d*d**(3\/5))*(d\/(d\/(d*d**(-11))))\/d**(-10) assuming d is positive.\nAnswer: d**(271\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 - 27. Let l = -6 - q. Is l\/(-5) + (-2091)\/(-15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-12 - 518\/(-42))\/(-2 - 178\/(-90))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2 - -2) + -13)*1. Let l be (-1 - -2)*(-2 + d). Let x = -2 - l. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, p: 4, y: 1, r: 4}. What is prob of sequence yrfr?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zaa when three letters picked without replacement from {z: 4, a: 4, p: 8}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 258944 to the nearest integer?\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 31842 a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18888 and 760.\nAnswer: 1794360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 918 - 9079*i**3 - 918.\nAnswer: -9079*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 119?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 592.0285 nanograms in micrograms?\nAnswer: 0.5920285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 x when three letters picked without replacement from {j: 7, y: 8, x: 5}.\nAnswer: 7\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -25 and 4.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2\/11)*x\/((x*x**(1\/5))\/x)*(x\/((x*x\/x**(-39))\/x))\/(x*x**33) assuming x is positive.\nAnswer: x**(-3981\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of -29*t**8\/48 + t**5\/30 + 667*t**4\/24 - 1600*t**2. What is the second derivative of w(l) wrt l?\nAnswer: -4060*l**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2482 and 8436947?\nAnswer: 1231794262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 11) to base 3\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {l: 13, f: 5}?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5076 by 1692.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2 = -4*s, -m - s + 2 = -0. Suppose 5*x + 5*a - 45 = 0, -m*x + 3*a = -x + 7. Let h = -6.3 + 6. Sort x, 6, h in ascending order.\nAnswer: h, x, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -75 - -80. Let t(d) be the third derivative of -1\/10*d**y + 0*d - 4*d**2 + 0*d**3 + 0 - 1\/12*d**4. Find the second derivative of t(a) wrt a.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -55122 by 3.\nAnswer: -18374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -4700400 to the nearest 100000.\nAnswer: -4700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112201011122212 (base 3) to base 4.\nAnswer: 131310211031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 48 - 25. Let k = 23 - p. Sort -0.3, -3, k in ascending order.\nAnswer: -3, -0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*u - 473 = 190 + 97 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -68*b**3 - 812387*b**2 + 424497058 wrt b.\nAnswer: -204*b**2 - 1624774*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*q**3 - 6311*q**2*y**2 + y**2 + 10*y + 313 wrt q?\nAnswer: 6*q**2 - 12622*q*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w - 11. Let x(d) = d - 10. What is -3*a(f) + 4*x(f)?\nAnswer: -2*f - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -661\/22 + 30. Let g = -302.6 - -303. Put 2, g, 1\/4, x in decreasing order.\nAnswer: 2, g, 1\/4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 169*q - 373?\nAnswer: 169","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 263625068?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 162\/(-33)*12\/(-42)*3465\/180?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -75? (a) -13 (b) -2 (c) -0.5 (d) -36 (e) 0 (f) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1135322?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 5*j**2 - 5*j + 4. Let z be o(4). Suppose 3*v = -z*v - y + 149, 2*v - 102 = -2*y. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 128393, 128067, 127741?\n\"Answer: -326*s + 128719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g - 30*g**2 + 93*g**2 - 3*g.\nAnswer: 63*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26306, 52944, 79580, 106214, 132846, 159476, 186104?\nAnswer: 212730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -17, -5, 6.9, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 301 - 268. Calculate the lowest common multiple of 222 and l.\nAnswer: 2442","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 53 = 149*g - 147*g, 9*n + 2*g = 12*n - 8*n - 13 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23100980.\nAnswer: 2, 5, 7, 157, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17483423 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*a + a. Let y(g) = g - 7. Let i be y(9). Let f be (a - 1)\/(i - 0). Put f, 5, 6 in ascending order.\nAnswer: f, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-404)\/(-3 - 1) + -2. Let i = h - -205. Suppose 0 = 4*j - i - 1496. Round j to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 1 + 0)*(1 - 4 + 1) + 0 - 2 + 3)*(5*a + 4*a - 5*a).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 28142136, 56284273, 84426410, 112568547?\n\"Answer: 28142137*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**1*n))**(5\/2)\/((n**(-3)*n)\/(n\/(n\/n**1))) assuming n is positive.\nAnswer: sqrt(n)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13051 + -5028. Is 43 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.008 + 5.792. Let l = q + -5.4. What is the smallest value in -1.1, 0.3, l?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -617466, -617468, -617470, -617472?\nAnswer: -617474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28767 is divided by 917.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/75489 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12025458 and 387918.\nAnswer: 12025458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 136*l**2. Let o be 14*(-1)\/(-49) + 33\/7. Let w(x) = -o*x + 6*x - 3*x. Calculate w(a(k)).\nAnswer: -272*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 99 + -94. Which is the second smallest value? (a) 3 (b) m (c) -0.5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of 1\/3*v**3 + 0*v + 1\/672*v**8 - 1\/120*v**6 - 5*v**2 + 1\/105*v**7 - 7 - 1\/15*v**5 + 1\/48*v**4. Solve a(h) = 0 for h.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235486 >= 235483?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -3*m**2 + 32514*m - 88096683 = 0.\nAnswer: 5419","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 47371 and 8206.\nAnswer: 1042162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**3)\/(o*o*o*o*o**(-3\/11))*((o\/(o*o*(o*o**(-5)*o)\/o*o))\/o)**(-2\/7) assuming o is positive.\nAnswer: o**(-1\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7150433086?\nAnswer: 2, 3575216543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -95d74?\nAnswer: -95d74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 245 (base 9) in base 5?\nAnswer: 1303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 13299*z + 1. Suppose -3*b - b = 0. Suppose -3 = -3*x - b*x. Let h be n(x). Round h to the nearest one thousand.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 32 = -s. What is the highest common factor of s and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -152, -1051, -2554, -4661, -7372, -10687?\nAnswer: -14606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -85240732 less than -2733?\nAnswer: 85237999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 93214 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 3\/5, 0.3, -4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.6688 to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 + 7 - -2) + -6 + -2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -1926935?\nAnswer: -1926933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1900814?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bw when two letters picked without replacement from {b: 2, k: 6, w: 10}?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -387420 by -670.\nAnswer: 38742\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 576978.6 minutes in nanoseconds?\nAnswer: 34618716000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of -g**4\/2 + 23*g**3\/2 - 135*g**2\/2 + 66*g. Factor i(z).\nAnswer: -3*(z - 9)*(2*z - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*h + 114*h**5 + 211*h**2 - 144 + 212*h**2 - 423*h**2 wrt h.\nAnswer: 2280*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/(-3) + (-4)\/(-6). Let f = 16 + -12.5. Let v = -0.5 + f. Which is the closest to -3? (a) -4 (b) r (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -52*x + 862. Let v be c(17). Put v, -5, 3 in decreasing order.\nAnswer: 3, -5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 343342*b - 343342*b + 3*b**2 - 3*b**2 - 2*b**2. Let v(s) be the first derivative of -s**2\/2 - 1. Give v(p(f)).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 2:19 AM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s - 166. Let w(x) = 4 + 3*x - 87 + 83. What is w(q(i))?\nAnswer: -6*i - 498","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.81 - -0.19. What is the biggest value in 2, -0.2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -28 - -5?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 39*g**3 - 4*g - 4. Let o(t) = -40*t**3 + t**2 + 4*t + 4. Let q(j) = -3*a(j) - 2*o(j). Is q(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**4 - 3*c**3 + 3*c**3)*(4 + 0 - 3) + (0 + 4*c + 0)*(805633*c**2 + c + 4972*c**3 - 805633*c**2).\nAnswer: 19886*c**4 + 4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6526, -6521, -6512, -6499, -6482?\n\"Answer: 2*v**2 - v - 6527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-2) - 135\/18. Let q(g) = 2*g**2 + g - 5. Let c be q(-3). Let w = s + c. Solve 12 = -3*i + 3*v, -w*i - v - 1 = -5 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -69 + 2*w + 122 - 80 in the form s + d*w and give s.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -1 - 2 + 3 + p + 1. Let k(u) be the second derivative of u**3\/6 + u**2\/2 + 2*u. Give 3*k(m) - 4*n(m).\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 119274318?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.83 - 5. Let d = 5.17 + t. Which is the second biggest value? (a) -0.5 (b) d (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of 2*v**3\/3 - 17*v**2 - 29*v - 3. What are the prime factors of k(22)?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -5*s - 23. What is w(-7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 - 39. Let g(k) = -5*k. Give y(g(s)).\nAnswer: -25*s**2 - 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1572705 a multiple of 642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 16 = 13*n. Sort -9, 0, n in descending order.\nAnswer: 0, n, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2563756, -5127552, -7691348, -10255144?\nAnswer: -12818940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -67462 divided by -4?\nAnswer: 33731\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**2 - 14*w - 240. Let b be d(15). Solve 6*k - 8*k - 6 = b for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75975 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -11, -5, -2\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -535.4 - -535.5. What is the nearest to g in 2\/3, 125\/4, -4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2195373, -2196850, -2198339, -2199846, -2201377, -2202938, -2204535?\n\"Answer: -p**3 - 1470*p - 2193902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 + 5*r + 7. Let s be f(6). Sort -2, s, -1.\nAnswer: -2, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 695186213 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 106367897 and 1351.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -3361.\nAnswer: -5\/3361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -138.970551792991 - -0.2.\nAnswer: -138.770551792991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21296?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -207 (base 9) to base 8.\nAnswer: -251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 631592.6us in milliseconds?\nAnswer: 631.5926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -109126, 1, 3 in ascending order.\nAnswer: -109126, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of 15833*i**4\/6 + 5*i**3\/6 - 3*i**2 - i. Let b be -3 + (-1 + 2)*9. Let q be u(b). Round q to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 times -2\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 6*o - 3*o - 4*c, -4*o = -4*c for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 + -25. Suppose -32 = -g*r - 5*x, -r + 2 = -x - 6. Let j be (9\/3 - r)*-5. Solve 0 = -5*l - 0 - j, 2*l = f - 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 8*k**2 + 7*k + 10. Let o be m(-9). List the prime factors of (-5 + o)*(14 + 1) - 2.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 23\/5 - (-2)\/5. Suppose 2*k = -2*v + 8, -4*k + 6 = 2*v - 10. Suppose 30*s = 26*s + k. Sort a, s, -2 in ascending order.\nAnswer: -2, s, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 250\/20*4\/10. Let o(i) = -i**3 + 6*i**2 - 6*i - 2. Calculate o(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2115\/172 + -45\/43. Calculate the common denominator of -75\/8 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86 - 7*h**3 + 15*h**2 - 174*h**2 + 86.\nAnswer: -7*h**3 - 159*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + 1)*1*-19. Let o = a - -30. Is o a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2643687 and 3407922?\nAnswer: 5661","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 p when two letters picked without replacement from {s: 2, y: 3, p: 1, q: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 2*k - 16, 12 + 16 = 5*k + 4*w. What is the least common multiple of 92 and k?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 5*r + 9. Suppose r*l + 72 = -0*l. Let v = 107 - 130. Is v greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 171 and 7804809.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**2 - 2*u**2 - 5*u**2)*(-3 + 1 + 3) + u**2 - u**2 - 3*u**2 - u**2 + 0*u**2 + 0*u**2.\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 30291.7l in millilitres?\nAnswer: 30291700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/25 of a micrometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*i + 179 - 377 = -106 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -443*p + 3044636 + 771538 - 927814. Does 16 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 587150?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -7.69*0.5\nAnswer: -3.845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(343))*4)**2 + -4.\nAnswer: 5484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 5) to base 14.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1698380 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5263.99983977 - 5264. What is f rounded to six dps?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32664980?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.013 + -0.01. Let k = -0.084 + h. What is k rounded to 2 decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 117, 937, 3161, 7491, 14629, 25277, 40137, 59911?\nAnswer: 85301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -234 + 459. Let u = 225.0374 - t. What is u rounded to 3 dps?\nAnswer: 0.037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -d**3\/3 + 23*d**2\/2 - 46*d + 5. Let o be i(21). Let k(u) = -2*u**2 + 3*u. Let t(a) = -3*a**2 + 4*a. What is o*t(c) + 5*k(c)?\nAnswer: 2*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-832)\/46 - 3 - (1 - 50\/46).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1545 (base 7) in base 9?\nAnswer: -760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-8)\/20)\/(-2))\/((-648)\/2700)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*k - 11*k + 154*k.\nAnswer: 173*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/97)\/j)\/(j**(4\/3)*j))\/(j**(-16\/3))**9 assuming j is positive.\nAnswer: j**(13004\/291)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 249411?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 44 = y, 2*y + 3*y + 4*n - 157 = 0. Suppose 2*l = -32 + 2. Let q = l + y. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 5*l = -17, 3*l = 2*j + 5*l + 2. Let u(a) = 20*a**2 - 11*a**2 - 3 + 3*a - 9*a**2 + 3*a**j. Let o(q) = -q + 1. Give 3*o(f) + u(f).\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 - 11*v - 6. Let u be q(-10). Let m be u\/(-14) + 16\/7. Suppose -4*j - 388 = -408. Solve a + j = 3*c, c - 2 = -m*a + 9 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1426 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -15 + 0 + (-17 - -53 - 33)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**2)**16\/((q\/q**(2\/7))\/q)**16 assuming q is positive.\nAnswer: q**(-80\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -622 + 626. Let y = 27718 - 1552249\/56. Let m = 7\/8 + y. Which is the third smallest value? (a) -4 (b) m (c) w (d) -0.19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1655430?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/66 and -52\/287387485.\nAnswer: 1724324910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -6*c - 5. Let u(p) = 3*p + 3. Give 3*a(n) + 5*u(n).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1261*q + 3429*q - 937*q)*(q - 3*q + 3*q) to a + n*q**2 + s*q and give n.\nAnswer: 3753","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 47953419533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*i - 36*i + 18*i + 13 - 13.\nAnswer: -54*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*c - 303*c - 1314 = -14738 - 5386 for c.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 462*z - 21. Let x be r(-4). Let c = x + 14895\/8. Find the common denominator of (-3)\/18*93\/4 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5892973l in millilitres?\nAnswer: 589.2973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - 1)\/((-1)\/(-2)). What is the second smallest value in -3, 6, v?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28366 - -28364. Let s(p) = 3*p**3 + 2*p**2 - 5*p + 2. Let c(f) = -4*f**3 - 3*f**2 + 6*f - 3. Give g*c(w) - 3*s(w).\nAnswer: -w**3 + 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12211 - -21?\nAnswer: 20002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 11. Suppose 4*q + 12 = -12*t + 9*t, -4*t - 3 = q. Which is the third biggest value? (a) 0.2 (b) t (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 382 + 380 - 1513 + 373 + 6*w**2 + 378.\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**2 - 12*g + 15*g + 3*g**2 + 2*g**2 in the form s*g + k*g**2 + i and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4\/2 + 2475*m**3\/2 - 999033*m**2 + 244238098*m + 15222166044.\nAnswer: -(m - 842)**3*(m + 51)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 303342073 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1365653*q**2 + 1540247*q?\nAnswer: 2731306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -26*z + 44. Calculate o(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -76079 (b) -4 (c) 0 (d) 1\/2 (e) 3 (f) -2\/5 (g) 2\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1323787 is divided by 6774?\nAnswer: 2857","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/16564 - 16557\/115948. What is the closest to 1.4 in b, -2\/9, 4, -2\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 12*s**2 - 22*s - 44. What is the units digit of u(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9553052g in micrograms?\nAnswer: 955305.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -0.1 (b) 15 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4130?\nAnswer: 2, 5, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-10)\/(-6))\/1)\/((-9)\/27)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -66288733, -66288744, -66288753, -66288760?\n\"Answer: w**2 - 14*w - 66288720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 61 - 57. Let y = n - 10. Let d(t) = 5*t + 20. Let r be d(y). Let u(v) = -5*v. Let q(l) = l. What is r*q(o) - u(o)?\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 286 + 39 = 0. Let w = -9\/15295 + 4379\/15295. Which is the third biggest value? (a) w (b) u (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32aa8 (base 12) to base 14.\nAnswer: -1a704","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*c**3*g**2 - 816*c**3*x + c**2*g**2 + c**2*g*q*x + c*g**2*x + 2*g**2*q - 4 with respect to x.\nAnswer: -816*c**3 + c**2*g*q + c*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.012*6.5\nAnswer: 0.078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -13028, 2, 1474, -3 in decreasing order.\nAnswer: 1474, 2, -3, -4, -13028","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -13122*l**2. Let t(h) = -2*h**2. Determine z(t(s)).\nAnswer: -52488*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 5*y**2 - 3*y - 1. Let f = 24 - 30. Give m(f).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 6*r = r + 15, 13*t + 12*r = 8*r - 33 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 270.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159288303?\nAnswer: 3, 113, 469877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 5*b**2 - 2*b + 8. Give f(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 350\/(-35) - (-8 + 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(91) - 5*(sqrt(91) - sqrt(91)*2)))\/(sqrt(21)\/sqrt(3)*-5 - sqrt(35)\/(-1*sqrt(5))).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 3:34 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 5. Suppose 0 = 4*a + 3 + w. Let v = 0.244 + 0.056. What is the third biggest value in v, -5, a?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-50))\/((-155)\/(-1550))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 6 = 2. Let d be -1 - w - ((-14)\/(-2) + -4). Solve d = 4*r - 0*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5010968 by 626371.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -581\/2655 - 1\/295. Let r = 175 - 1923\/11. Let q be (2 - 8)\/(30\/(-3)). Which is the nearest to -2\/3? (a) r (b) n (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z - 9. Suppose 4*i + 25 + 23 = 0. Let t be 3 + -1 - 4\/(i\/(-15)). Let b be t\/6 + 2\/4. Give p(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p*p\/(p*p*p\/p**(-3)*p*p*p)))**(-27)\/(p*p\/p**5*p)**40 assuming p is positive.\nAnswer: p**(-109)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -108 - -757\/7. Let l be 0 + (-8 - (-12)\/(-60)*-43). What is the second biggest value in w, -5, l?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 45 = 29. Suppose 4*k - 26 = l + 15, 2*l + 38 = d*k. What is the remainder when 20 is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 67635 and 891.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of n**7\/14 - 11*n**6\/10 + 33*n**5\/10 + 35*n**4\/2 + 25*n**3\/2 + 1693*n**2. Suppose f(y) = 0. What is y?\nAnswer: -1, -1\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -912?\nAnswer: -912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 444724219?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8965.\nAnswer: 5, 11, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1182259 is divided by 1938.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 - 11*r + 5. What is the tens digit of f(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22328, -22329, -22330?\nAnswer: -22331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 235, 59\/5, -2\/17 in ascending order.\nAnswer: -2\/17, 59\/5, 235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -23122 (base 5) in base 9?\nAnswer: -2246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from bipibippipibp?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1227882269?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -277*z**2 - 283*z**2 + 502*z**2.\nAnswer: -58*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*k + 92*k + 71*k - 7*k in the form o*k + w and give o.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 30334663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 3 + 3 + -6 + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 26*k + 20. Let n be a(12). Is (-2)\/(-8) - (-154629)\/n a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 5:32 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/(-10))\/(19\/(-190)). Solve -29*m + g = -31*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -217245, -434486, -651727?\nAnswer: -868968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 + 5*s - 1. Let f = 18 - 29. Let y = -8 - f. Calculate the lowest common multiple of y and w(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2619 + 273*f + 2*f - 2619.\nAnswer: 275*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1215.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6536184 centimeters to meters.\nAnswer: 0.006536184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 763.363ml in litres?\nAnswer: 0.763363","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 2*j - j**2)*(2*j + 9*j - 3*j)*(3 - 2*j - 3).\nAnswer: 16*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-20))\/((-11)\/((-605)\/286))\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1962 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one tenth of a gram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37093 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -383*m**3 + 104*m**2 + 2*m + 7. Give c(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/209, -2, 0, 5, -2\/5, -0.11?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((0 - 11) + 1)*1. Let g(n) = -3*n**3 + 6*n**2 + 22*n + 7. Let s(w) = 8*w**3 - 10*w**2 - 52*w - 13. Let p(u) = -5*g(u) - 2*s(u). Determine p(t).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76083316223 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z + 10*z - 5*z + 95*z**2 - 159*z**2 + 70*z**2.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 + 1. Let t = n - -15. Let x = 6.1 + t. Put -0.5, 0.5, x in descending order.\nAnswer: 0.5, x, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3*h**2. Let f(k) = 1332*k**2. Give f(z(p)).\nAnswer: 11988*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 130885994 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11064242 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4\/4 + 1646*d**3 + 32901*d**2\/4 + 19737*d\/2.\nAnswer: d*(d + 2)*(d + 3)*(d + 6579)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 81455 to the power of 1\/2, to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -272.07492 rounded to one decimal place?\nAnswer: -272.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (45\/(-150) - (-951)\/270) + (-10)\/45. Let t(l) = l**3 - 2*l**2 - 8*l + 8. Give t(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*c - 113656919 + 113656919.\nAnswer: 24*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**3 - 12*m**2 - 125*m + 871. Let n be l(8). Solve 17*v + n - 25 = 0 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54 divided by 2\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a. Let h = 16 + -29. Let r be 2\/6 - h\/(-3). Give s(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -26*i - 1431. Give t(-55).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 414.3 - 414.5. What is the nearest to -3 in m, -29\/6, 4?\nAnswer: -29\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - z - 1 - 5, -49 = -4*i - z. What is the greatest common factor of i and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-27))**(1\/2)\/((a*a**(-23))\/(a**(12\/11)\/a)) assuming a is positive.\nAnswer: a**(189\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1971 divided by -500.\nAnswer: -1971\/500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.696133 and -3306.\nAnswer: -3303.303867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -73 - -70. Let t = 6.944 + 0.056. Put t, o, -4 in decreasing order.\nAnswer: t, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 5:50 PM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, n: 5, d: 8}. What is prob of sequence en?\nAnswer: 25\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = u + 22. Suppose u*j = 9 + 6. Suppose -231 = j*h - 8*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -6*r**3 + 2*r**2 - 21*r - 2. Calculate u(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-12) - (-18)\/28)*1449\/621.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 4*g - 74 = 0, -g + 2*g - 77 = 4*o. Let z be (-4)\/(-10) - o\/5. Let p(x) = -x + 3*x + x - 2*x. Give p(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2116274?\nAnswer: 2, 283, 3739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 78107 + 2*d**2 - 78107. Let r(a) = 9*a + 4. Let p(g) = -18*g - 9. Let k(v) = 4*p(v) + 9*r(v). What is k(j(l))?\nAnswer: 18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 15) + 6 + 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 30508105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -212*j**2 - 73*j**3 + 55 - 18 - 2*j**4 - 16 - 21 wrt j?\nAnswer: -48*j - 438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 7632, 25194, 42766, 60354, 77964, 95602, 113274?\n\"Answer: n**3 - n**2 + 17558*n - 9926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 1. Let o(f) be the second derivative of f**3\/6 + 263*f - 77. Let s(w) = w + 1. Calculate r*o(t) + s(t).\nAnswer: 6*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 626 is divided by 126.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one tenth of a meter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0012437338 to five decimal places.\nAnswer: -0.00124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8697*t = 8701*t + 76. Let q = -3 - -5. What is the smallest value in t, q, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 5*r - 1. Let d(o) be the third derivative of -o**5\/60 + o**4\/4 + o**3\/2 - 4*o**2. Let y be d(5). What is the units digit of v(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k + 4. Let n be o(0). Suppose n*u = 3*u. Let j be (4\/(-10))\/(2\/20). Sort 5, u, j in descending order.\nAnswer: 5, u, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*p**2 - 8878381*p - 724743257?\nAnswer: 6*p - 8878381","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 46618.1 or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of m**4\/24 + 7*m**3\/2 + 2*m**2. What is the remainder when 61 is divided by a(10)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of -89*s**2\/2 + 4*s + 77. What are the prime factors of h(-5)?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*l - 97 - 27 = 611 for l.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 2082?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10.59 + -7.59. Which is the second smallest value? (a) 0.02 (b) 3\/8 (c) l (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -243, -452, -631, -780, -899?\nAnswer: -988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -10110 (base 4) to base 7\nAnswer: -543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + 7*h + 4. Let p be k(4). Let i be (-24)\/64 + 86\/p. Determine s so that 10\/13*s - 2\/13*s**i - 4\/13*s**2 + 8\/13*s**4 - 4\/13 - 8\/13*s**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, g: 2}. What is prob of picking 1 n and 1 g?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85431 + 85423 = 2*o + 4*l, l = 2*o + o - 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5808?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204666 is divided by 22733?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 3*r = -12 - 18, 0 = 2*y - 4*r + 4. Let z be y*(-20)\/15*-11. Suppose -s + z + 38 = 0. What are the prime factors of s?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 5:26 PM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 15*i**2 - 20*i - 520. Calculate t(-17).\nAnswer: 398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 285801.\nAnswer: 3, 95267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 2*c - 4 + (-3*c - 2*c + 0*c)*(-3 + 3 - 5) + (6 - 3 + 6)*(2 - 2 - 3*c) in the form h + a*c and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8059190 and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2*m - 20 = 0, -65407 = -3*z + 2*m. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -28082.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14089 and 146?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -11*f + 21. Let v = 6 + -16. Is 11 a factor of n(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -263*f**2 + 345*f + 23. What is s(2)?\nAnswer: -339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -146013415 (base 7) in base 12?\nAnswer: -33310a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 264 divide 530640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5099562, -5099563, -5099564?\nAnswer: -5099565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**3 + 123*q**2 - 15*q + 138. What is the thousands digit of o(61)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30080040 to the power of 1\/5, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 55175261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -916 - 48482596877\nAnswer: -48482597793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/998 and 67\/10.\nAnswer: 4990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of w**3\/6 + 2*w. Let q(a) = -3*a**2 + 3*a**2 + a**2. What is j(q(i))?\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 7:12 PM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2.4 (b) 0.4 (c) -3\/8 (d) 541526\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/566874 and -31\/96.\nAnswer: 9069984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of -1\/24*y**4 + 2*y**2 + 0*y - 34 - 5\/6*y**3. What is p(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-6)*i))**(-14\/11)\/(i**(4\/9)*i\/(i\/(i*i*i*(i*i\/i**(-1\/8))\/i*i))) assuming i is positive.\nAnswer: i**(-10459\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = 39 - 33 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 + 0 + 2*j + (-2*j + 5*j - j)*(2 + 1 - 2))*(-6 - j**2 + 6) - 5*j**3 - 4*j**3 + 0*j**3 + 2*j**2 - j**3 - 2*j**2 + (1 + 1 - 3)*(2*j + j**3 - 2*j).\nAnswer: -15*j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2*k + 0*k + k + (-37 + 21 - 14)*(-7 + 4 + 13)*(-1 - k + 1).\nAnswer: 299*k + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of -l**3\/3 + l**2\/2 + 12*l + 1906. Let p(j) = j**2 - 2*j - 12. Give -4*c(f) - 3*p(f).\nAnswer: f**2 + 2*f - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 49a5 + -175bc?\nAnswer: -12a17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (329\/(-70) + 3)*2\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.4, -2, 0.087, -5, -2\/11, 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 + 24. Suppose 5*k - 5*r - 532 = k, k = -p*r + 158. Let s = 278 - k. List the prime factors of s.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 918875 or 918874?\nAnswer: 918875","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0 - 73*b + 79*b + 0 - b**5 wrt b.\nAnswer: -20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 q, and 1 w when three letters picked without replacement from bgwgqlj?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = 5*n + 2, 0 = -60*n + 59*n + 2*j - 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.878 - -0.112. Let w = -1 + y. Let r = w - -1.01. Which is the third biggest value? (a) r (b) 1\/4 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 26 - 3)*(-5 + 2 - 8)*(-3*s + 4*s + s)*((0 - 1 + 3)*(-s + 3*s - 4*s) + 23*s - 14*s - 24*s) to d*s**2 + y + j*s and give d.\nAnswer: 11286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-22 + 24)*-1*2. Let u(l) = -2*l**2 - 8*l - 5. Let z be u(-7). Let p = z + k. Which is greater: p or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 60\/7 + 8*h - 4\/7*h**2.\nAnswer: -4*(h - 15)*(h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -8 + 2*q**2 + 5 - 1 - 3*q. Let u be i(3). Suppose 3*h - 82 = -u*p + 229, -h = 3*p - 109. What is h rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 122 (base 7) to base 11\nAnswer: 5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 57937 - 30537. What is l rounded to the nearest one thousand?\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 10*s**3 - s**2 - s + 1. Suppose -5*d + 2*d + 3 = 0. What is the lowest common multiple of 0 + 3*3 - 1 and x(d)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -232, -466, -690, -898, -1084, -1242, -1366, -1450?\nAnswer: -1488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: a (base 12) to base 16\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2790, -2889, -2992, -3099, -3210, -3325?\n\"Answer: -2*y**2 - 93*y - 2695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*10134.\nAnswer: -1013.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*w**2 + 0*w**2 + 0*w**2 + (-1 + 1 + 17*w)*(-3*w + 7*w - 2*w) to the form t*w + s + v*w**2 and give v.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(128)\/sqrt(4)*-3*-2)**2)*-2.\nAnswer: -2310","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.59 - 0.49. Let v = -2.6 + z. Sort -5, -3, v in increasing order.\nAnswer: -5, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -1111001011011111001111000?\nAnswer: 1111001011011111001110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4768, -590, -8 in decreasing order.\nAnswer: 5, -8, -590, -4768","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -5*h - 5, -3*h - 17 = -0*h + 4*b. Calculate the remainder when -2*(21\/6)\/(-7) is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 7843368.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 5*w**2 - 5*w - 18. Let y(h) = 7*h**2 - 3*h - 18. Let t(u) = -3*k(u) + 2*y(u). Calculate t(11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8336498.\nAnswer: 2, 181, 23029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 637 * -13503.\nAnswer: -8601411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 33315470777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33 + 47. Let l = -29 + a. Let d be (l - -18) + (0 + -1 - 2). Solve -5*o = -d - 10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1804651 is divided by 26?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 2:42 PM?\nAnswer: 4:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of -r**7\/6 + 7*r**6\/60 - 871*r**5\/60 - r**3\/6 - 63*r**2 - 7. Find the third derivative of n(z) wrt z.\nAnswer: -840*z + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 + 4 + 3 - -7) + 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -9*r - 9. Let s be v(-8). Suppose 154 = 18*y - 1016. Which is smaller: y or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*y**2 - 5*y**2 + 2*y**2)*(y - 5*y + 15*y) - 56*y - 70*y**3 + 196*y**2 + 69*y**3 + 56*y in the form x + t*y**3 + i*y + q*y**2 and give q.\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r - 7*r = 14. Find the second derivative of 10*z**r - 43*z + 72*z + 5*z**2 wrt z.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4445951 to the nearest integer?\nAnswer: 2109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 3*i - 50. Suppose -4*v - 42 = -i. Is 2*10\/v*-38 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 962629 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18 or -336\/19?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1078.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22906.41kg to micrograms.\nAnswer: 22906410000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 55, -11, -57, -29, 127, 465, 1039, 1903?\n\"Answer: 9*k**3 - 44*k**2 + 3*k + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1531 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 116, 227, 334, 437, 536?\n\"Answer: -2*m**2 + 117*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*t - 26. Let a = 0 + t. What is the second derivative of -a*n + 2*n + 3*n + n**5 wrt n?\nAnswer: 20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000456181 to six decimal places.\nAnswer: -0.000456","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-6)*p*p\/(p*p**(-2)))\/((p\/(p\/(p*p**(2\/5)))*p)\/p**(-3\/7)) assuming p is positive.\nAnswer: p**(-169\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 234 - 201. What is the remainder when 136 is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 317525292?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -568 - -573. Let w(z) = z + 1. Let y(f) = -1. What is v*y(b) + 3*w(b)?\nAnswer: 3*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((((-2)\/(-6))\/((-35)\/8540))\/(2\/(-3)))\/2?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 185\/148*2\/(-25). What is the closest to v in -3, 0.3, 1\/2, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*r, 6*x = 2*x - r + 21. Suppose -12 = -x*z + 4. Are 5 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.07 - 0.07. Let q = -1375 - -1373. What is the nearest to 1\/3 in z, q, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00230876 rounded to 6 decimal places?\nAnswer: -0.002309","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7093\/2080722 + 6\/3241. Let s = -7387\/2568 - d. Calculate the common denominator of s and -1 - 2 - (-546)\/(-308).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 24.\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-6)*10*69. Let o = 221 - r. Which is smaller: -18 or o?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13055?\nAnswer: 5, 7, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q - 8. Let g(p) = 2*p + 15. Let n(w) = -3*g(w) - 5*y(w). What is the lowest common multiple of 18 and n(-11)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3200025 to the nearest integer?\nAnswer: 1789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 5:55 PM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -10*m - 29. Let p be q(-3). Let c be ((-399)\/38)\/(p\/(-2)). What is the highest common factor of 483 and c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1205c8 + c?\nAnswer: 1205d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/36*(-2)\/20*2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6317741*f + 13709359 wrt f.\nAnswer: 6317741","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 4*f - 30. Let j(u) = -f*u**2 - 163*u - 5 + 162*u + 4. Determine j(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.684 and 0.342548216.\nAnswer: -0.341451784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -900 divided by -6\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 5 = -j, 4*j = -14*g + 13*g + 120 - 100 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -47*b. Let j(q) be the third derivative of q**8\/10080 - 2*q**5\/15 - 9*q**2. Let k(x) be the third derivative of j(x). Give k(l(m)).\nAnswer: 4418*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + (-8 - (-18 - -25)) - -6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 58580626?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -637*j - 3850. What is i(-6)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 - 4 + (4 - 3 + 0)*(5 + 1 - 3) - 2 + 1 + 3)*(20*a - 13*a - 50*a) to the form n + y*a and give y.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((16\/56)\/((-6)\/14))\/(-2)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -9, -95\/7, 1, -0.3 in descending order.\nAnswer: 1, -0.2, -0.3, -9, -95\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58, -230, -514, -910, -1418?\nAnswer: -2038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 - -0.4. Let z = -3.98968 + -0.01032. Which is the second biggest value? (a) z (b) k (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w - 713575 = -124*w. List the prime factors of w.\nAnswer: 5, 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 0*o - 635. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2 + 4 - 3 + r + 4. Let g be b(-5). Suppose 4*z + l = 37, -2*z - g*z - 5*l = -41. Solve 0 = 5*a + 4*w + 27, -a + 0*a - z = 2*w for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 5 = -5*f, f - 9 = -4*y + 9. Let x be f - (-5 - (-2 + -2)). Let g = -2.04 + 0.04. Which is the nearest to x? (a) 0.3 (b) g (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -2, 12, 30, 52, 78?\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of d**3\/24 - 9*d**2\/8 + 17*d\/8 + 956. Factor y(x).\nAnswer: (x - 17)*(x - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17\/(-5950)*-25)\/1.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - b - 4. Let k(i) = -i**2 - 9*i. Let d be k(-9). Let j = 3 - d. Let c be l(j). Solve y = c*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*d + 7 = -22. Suppose -3*p - 3*f = -7*p - 48, -f = 2*p + 14. Which is bigger: p or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3270489809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.5 (b) 54 (c) 26\/5 (d) -3\/7 (e) 38\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 261631.\nAnswer: 261631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 1068333378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from otcc. What is prob of sequence oct?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 18 + (-8 - (-945)\/(-75))\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 950 less than or equal to 988?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 8:05 PM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1824 - 6*l - 8*l + 1824.\nAnswer: -14*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 7:08 AM?\nAnswer: 3:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 605.474 - 1.474. Let n = x + -602. Which is smaller: n or 23?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 15\/(-2)*(-4)\/6. Let v = 1 - -22. Solve b - 5*u + 0*u = -21, v = -3*b + a*u for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2402 + 1904.6. What is l rounded to the nearest ten?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12722 minus -215.222352?\nAnswer: 215.095132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 2*p - 20, 5*p + 2*h - 5*h = 22. Let v be ((-6)\/(-9))\/(-4 + 25\/6). Suppose v*f - 33 = -9. Calculate the remainder when f is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 4*f + v + 24, 0 = -2*f - 5*v + 12. Suppose -f*g + 2816 + 572 = 0. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2109 a factor of 2083608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -j*r**4 - 6116*j*r**2 + j + 6*r - 82595 wrt r?\nAnswer: -4*j*r**3 - 12232*j*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 25, -27, -1, 6 in descending order.\nAnswer: 25, 6, -1, -4, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 AM and 5:48 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.36169 - -0.06169. What is the fifth smallest value in 0, -24, -5, r, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-2*(-2)\/(-18).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7847*j + 5210 - 160618 = 142754 + 15718 for j.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - -8) + 31 + 5 - 1\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/40*4\/(-6)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*m**5 - 186*m**3 - 905*m**2 + 44636*m - 83.\nAnswer: -280*m**3 - 1116*m - 1810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43\/350 + -1\/50. Let x be (-2)\/(-6) - 10\/18. What is the nearest to x in f, -4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 2605.\nAnswer: -521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.02732 + -0.0544. Round b to three dps.\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -7*o**2 - o + 4. Let q(g) = g**2 - 1. Let u(v) = k(v) + 2*q(v). Let c be u(-2). Let z = 33 + c. Is z a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 0 + 5, -4*j + 28 = -o. Let g be 10\/o + 1048\/(-32). Is -32 >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-30)*15\/(-25).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 2*f + 65 = 3*p, 0 = 3*p - 4*f - 64. Suppose -p = -0*x - 5*x. What are the prime factors of (4\/(-3))\/(x\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 3:24 PM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -249*i + 17803. Calculate m(70).\nAnswer: 373","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(200) + 3*(sqrt(200) - sqrt(200)*-2) - sqrt(200)) + 0 - (sqrt(144)*3 + sqrt(144))\/(sqrt(8) + 6*sqrt(72))).\nAnswer: -3 + 1698*sqrt(2)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 4, -2, -5, 0, 5 in decreasing order.\nAnswer: 18, 5, 4, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of 0*s + 1\/15*s**5 - 7*s**2 + 0*s**4 + 0*s**3 + 0. Let v(q) = -4*q. Determine l(v(f)).\nAnswer: 64*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**15\/(m**(-1\/5)\/(m*(m*m\/m**2*m*m*m)\/m*m*m)))\/((m**(3\/2)\/(m*m**0))\/((m**(-2\/7)*m)\/(m**(-1)\/m*m))) assuming m is positive.\nAnswer: m**(1499\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 231*t**4 - 1854*t**3 - 27441*t**2 + 229404*t - 5940 = 0. Calculate t.\nAnswer: -11, 2\/77, 9, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 > 1\/52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -8. Calculate the remainder when (-3)\/(c\/(-320))*60\/(-50) is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 73.4 - -5.6. Let h = -72 + j. Let y = -6 + h. Is y less than 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.9 + 3. Suppose 2*h + g = 1, -17*h + 2*g - 2 = 8*h. What is the third biggest value in h, -2, -4, m?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2415639393764 - 2.8\nAnswer: -2415639393766.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -598033.467380284 + 597881.46738. Let k = 152 + i. Round k to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 642331*r - 3853991. Determine x(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 8872?\nAnswer: -8877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*s - 2*h + 8 + 8, 36 = -3*s + 5*h for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43 - 40. Solve -4*u - l*w + 6 = 0, 2 = -0*w + w for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38 - 56. Let w = o - -17.7. Let d = w + -0.2. Which is the nearest to 1\/3? (a) d (b) 3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 28 + 12. Let j = 0.04 - 0.45. Let g = -0.5 - j. Which is the biggest value? (a) g (b) -2\/5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 110 - 104. Is (39\/n)\/(((-52)\/(-216))\/13) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3758900.7 rounded to the nearest ten thousand?\nAnswer: 3760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4507893 and 333918?\nAnswer: 9015786","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 7*t + 1. Let o(x) = 14*x + 3. Let g(a) = -2*a. Let p(k) = 3*g(k) - o(k). Give -3*p(q) - 8*w(q).\nAnswer: 4*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 2:10 PM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (2198 - 2198 + 379*y)*(y**3 + 0*y**3 + 0*y**3) in the form m*y**3 + g + p*y**2 + f*y + w*y**4 and give w.\nAnswer: 379","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 4*j**2 - 7368*j + 58691. Calculate z(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/4, -0.2, -2\/9, -12, 18\/11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 32537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 7746774 to the nearest 10000.\nAnswer: 7750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 55\/(-110) - 5\/(-2). Suppose 14500000 = 7*g - f*g. What is g rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14903468 by -52477.\nAnswer: -284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 309200 divided by -400\nAnswer: -773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 less than 496\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**2 - 147254110*l + 294508212 = 0 for l.\nAnswer: 2, 73627053","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1156, 1149, 1152, 1171, 1212, 1281?\n\"Answer: p**3 - p**2 - 11*p + 1167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*f*l**4 + 1646*f + l**4 - 296*l - 2 wrt l?\nAnswer: -8*f*l**3 + 4*l**3 - 296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 504 and 5880?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**1)**(-28)*(w\/(w\/((w\/((w**2*w)\/w))\/w)))**(-25))**(27\/4) assuming w is positive.\nAnswer: w**(297\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 q, and 1 o when three letters picked without replacement from crrobbqbqobo?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 11:35 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + 11 + 3 + 0 - 3) + 7.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -6*o**2. Let i(l) = 3*l - l - l + 0*l. Give i(r(v)).\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 55036464 to the power of 1\/5, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*43007\nAnswer: -4300.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 54, 5, 3, 1\/126, 2\/139, -0.4 in descending order.\nAnswer: 54, 5, 3, 2\/139, 1\/126, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 19*x**2 + 12*x**2 - 8 - 30*x**2 - x - 5*x. Let w be m(8). Let p(g) = 5 + w + g + 0. What is p(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3211829762?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.046759 take away -329060575?\nAnswer: 329060575.046759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*s - 12*s + 8*s = -15*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 + 2891*h - 190473. Determine z(65).\nAnswer: 1667","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, -0.5, -2\/3, -0.1, -60?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -51376672 + -0.3\nAnswer: -51376672.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-290)\/4*8\/10. Let p = x + 68. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-6))\/((-6)\/12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -s**2*y**2 + 552*s**2 - y**2 + 29*y wrt y.\nAnswer: -2*s**2*y - 2*y + 29","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (260\/(-25))\/((-23)\/115)*((-5)\/(-4))\/(-1)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1186801?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1104.776 + 958.\nAnswer: 2062.776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3124513 - 1?\nAnswer: 3124512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -899000 and 177.\nAnswer: -898823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128*h + 117 + 151 = -244. Let x(z) = -11*z + 1. Calculate x(h).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 65\/20 - (3 + (-33)\/12). Suppose -3*m - 207 = -j*q, q + 2*q + m - 227 = 0. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millimeter in micrometers?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*d + 42 = 21*d - 22*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4173984 divided by -9662.\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2227014763 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-650)\/35)\/((-2223)\/9576)?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in -1, -2\/7, -22, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7\/9 + 13\/9. Let j = -44 + 66. Suppose 3*h - 7 = q + 3, -j = -5*q - 3*h. Which is the closest to q? (a) -0.5 (b) -1\/3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 509462, 6 in ascending order.\nAnswer: 2, 3, 6, 509462","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 2*w**2 + 68*w + 336 = 0.\nAnswer: -28, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + (-19)\/(-15))\/(4\/2)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195 = -3*v + 33. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -366, -371, -378, -387, -398, -411, -426?\n\"Answer: -a**2 - 2*a - 363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1017 divided by 3?\nAnswer: -339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*p**2 + 2*p**2 - 3*p**2)*(-12 + 12 - 13*p**2) + 4*p**2 - 4*p**2 + 2*p**4)*(2 + 1 - 5 + 0 + 5 - 4 + (1 - 2 + 3)*(4 - 2 - 4)).\nAnswer: -75*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-5)\/5)*-1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 193*i**4*k - 2*i**4 - 22610*i**2 - 14*i*k + 45609*k + 2 wrt i?\nAnswer: 2316*i**2*k - 24*i**2 - 45220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.76211 and -12.5?\nAnswer: 13.26211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o. Let p(a) = -65*a - 105. Let f(n) = p(n) - 4*t(n). Let v be f(-9). Calculate the highest common divisor of v and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -60504, -121734, -182964, -244194?\n\"Answer: -61230*d + 726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 8:45 PM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.8 and -11344 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 103*j**2. Let b(r) = 3*r. What is d(b(q))?\nAnswer: 927*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 times -140?\nAnswer: -12600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -3, -4, -3\/5, -2, -8733?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d - 4*d + 6 + d)*(24 + 19 - 42).\nAnswer: d + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 724 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2189250732?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2123, 2075, 2027, 1979?\n\"Answer: -48*n + 2171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*a**5 + 24 - 24 + (a**5 + 2*a**5 - 2*a**5)*(-1 - 1 + 1).\nAnswer: -11*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 1650*d - 94. Let b(y) = 4951*y - 281. Let x(a) = -2*b(a) + 7*r(a). Let q be 45\/(-2) - 2\/4. Let k be x(q). What is k rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 820 + -820. Let f(m) be the first derivative of 7 + 0*m**2 + 6\/5*m**5 + x*m**4 + 0*m - 2*m**3. What is the third derivative of f(u) wrt u?\nAnswer: 144*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-13*16\/(-832))\/((-1)\/12). Put 2, 0, x, -23 in decreasing order.\nAnswer: 2, 0, x, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32154 + -32161 - (0 - 0 - -81)?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -257769803, -257769802, -257769801?\n\"Answer: x - 257769804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - 24 - -27 - (-21 - -4).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 254547969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*s - 452640568 = -452637110 for s.\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of s**3\/3 - 32*s**2 - 64*s - 1. What is b(28)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 408889 by 3.\nAnswer: 408889\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9220946957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, l: 3, f: 9, t: 1, v: 2, p: 2}. What is prob of sequence ft?\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3849*y - 3871*y + 374. Let m(c) be the first derivative of 0*c**3 + 0*c**2 - 8\/5*c**5 + 20*c - y + 0*c**4. Differentiate m(v) with respect to v.\nAnswer: -32*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.09642 and -5042?\nAnswer: -486.14964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 67, 181, 337, 535, 775, 1057, 1381?\n\"Answer: 21*o**2 + 51*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 2*k**2 + 2*k + 1. Let f be y(3). Let v = -6 + 48. Let q = v - 41. Which is the nearest to q? (a) -0.5 (b) -1\/3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4358873 - -2?\nAnswer: -4358871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 5, -11226, 6433, 2 in decreasing order.\nAnswer: 6433, 5, 2, 0, -3, -11226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1201 a factor of 4631078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -3*l - 8, 63 = 3*n - 0*n + 4*l. Suppose -2*s + n = -21. What are the prime factors of s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 3:18 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52011 is divided by 420?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -295*b**2*h + 126612350*b**2 - 661601*h wrt h?\nAnswer: -295*b**2 - 661601","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 22*a**2 - a + 2. Let n be t(7). Suppose -81*j + 82*j = 2*x + 262, 3*x + n = 4*j. Does 17 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -s + 4*d + 1, -2*d - 222 = -7*s. Solve -4*q - 5*n = s, q - 2*n = -14 + 13 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (11 + -12)*(2 - 3). Let r = 0.07 + -4.07. Suppose -t + 3 + 0 = 0. What is the closest to 0 in t, y, r?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -51.3 * 147.\nAnswer: -7541.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 16*n + 9. Let w be b(6). Suppose 0 = -13*l - 8*l - w. Let g(v) = -v**2 - 5*v. Give g(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 3*x**2\/4 + 213237*x\/4 - 426522 = 0.\nAnswer: -71087, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/41 and 9\/16033135 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 61*f**2 - 106*f + 440. Give i(-59).\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1653 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 5:33 AM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbdd when four letters picked without replacement from wobddddw?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 - -62. What is the remainder when r is divided by -5*(-72)\/20 - (1 - 2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 + 2*k + k - 6)*(-3 - 2*k + 3).\nAnswer: -6*k**2 - 20*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32 - (0 - (-1 - 1))) + (110 - -17 - 127)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -24 and 0.02.\nAnswer: -0.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/5 (b) 0.5 (c) 57 (d) 170\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, u: 1, p: 6, i: 1}. Give prob of sequence ius.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 33495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/12? (a) -502\/17 (b) -3\/11 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.506445 hours in microseconds?\nAnswer: 16223202000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1214 is divided by 365?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/((sqrt(48)*-1)\/sqrt(12) - sqrt(4)).\nAnswer: -sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1604, -1430, -1256, -1082, -908, -734?\n\"Answer: 174*k - 1778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -118 (base 10) to base 14\nAnswer: -86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/16350 and 79\/4?\nAnswer: 32700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p + 2. Let j be o(4). Let m be j + 7*(2 - 3). Put m, -35, 1 in ascending order.\nAnswer: -35, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*u = -101*u - 10*n - 34, 30 = -5*u - 5*n for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3141?\nAnswer: 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -432 + 431.9737. Let v = 0.0263341 + c. Round v to 6 dps.\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {v: 12, t: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425) + 3 + 0)**2 - sqrt(136)\/(sqrt(64)\/(sqrt(8) + sqrt(48)\/sqrt(6))).\nAnswer: 28*sqrt(17) + 434","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4*w + 5 = 4*t, -3*w = 15. Let q = -2 - t. Let r(j) = q - j**3 - 3*j + 3*j**2 - 3*j + 3*j**2. Calculate r(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -7*g**2 - 6*g + 6. Suppose -5*t + t - 52 = 0. Let l(r) = -15*r**2 - 13*r + 13. Let v(n) = t*q(n) + 6*l(n). Let i(u) = -2 - u + 2. Give v(i(j)).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 2\/3 (b) -3\/2 (c) 0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -110012011012 (base 3) to base 7\nAnswer: -2016401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, e: 5, v: 3}. What is prob of picking 1 p and 1 e?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1280\/(-1024))\/((-1)\/16*10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 0.05, 7, 1801, -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -79 and 1.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1159750 and 250?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c, 1 n, and 1 g when four letters picked without replacement from {c: 2, m: 4, g: 6, a: 3, n: 2}.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - 132114541?\nAnswer: -132114542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 13. What is the remainder when 17 is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007874024 rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Is 3171887 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 376391452 and 2.\nAnswer: 376391454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157271 is divided by 3378?\nAnswer: 1883","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in nine tenths of a millennium?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8315302301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*o**2 - 30*o**2 - 16*o**2.\nAnswer: -31*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -729 + 1178. Does 28 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 148, 155, 164, 175, 188?\nAnswer: 203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -24 - 14?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, h: 4, k: 3, n: 1, a: 1}. What is prob of sequence kkn?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of v**4\/12 + v**3 + 2*v**2 - 2*v. Let s be m(-6). Let -2\/7*j**2 + 2\/7*j**s + 0 + 0*j + 0*j**3 = 0. What is j?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 + 33 = -2*t. Find the first derivative of -103*q**t + 15*q + 17*q**3 - 15*q - 80 wrt q.\nAnswer: -258*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 4*o + 89 - 27, -2*w + o = -68. Suppose v - w = 20. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/139356 and 17\/126?\nAnswer: 139356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -386*z - 69. Let o(y) = 248*y + 46. Give -8*o(t) - 5*w(t).\nAnswer: -54*t - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -158 + 165. Suppose -l = -q - 0*l - 6, -4*q + 2*l = 18. Put 5, q, m, -2 in ascending order.\nAnswer: q, -2, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -74 smaller than -75?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -254 = -4*y + 78. What is the remainder when 247 is divided by y?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of -z**4\/12 - z**3\/6 - z**2 + 33*z - 1. Calculate t(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -146?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 128644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 43) + 33 + (-64 - -29).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 337482 and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 0.2 (c) 2 (d) -0.6 (e) 0.032\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2308, -4617, -6926, -9235, -11544?\n\"Answer: -2309*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -160.53 and 0.01.\nAnswer: -1.6053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -421534?\nAnswer: 421531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -11687 (base 12) in base 7?\nAnswer: -125212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/20 + 1173\/(-230). What is the closest to 2 in r, 0.3, 0.4, -2\/9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 8*k - 137. Give f(19).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**3 + 5*f**3 - 3*f**3 + 2*f**3.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 783233?\nAnswer: 5482631","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(3\/4)*p)\/(p\/p**(2\/3))*(p\/p**1)\/((p*p\/(p*p\/p**3)*p*p)\/p)*p**(-38)*p*p**2*p\/(p*p*(p**(-4)*p)\/p*p) assuming p is positive.\nAnswer: p**(-427\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -93 + 104. What is the highest common divisor of 22 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2358179.\nAnswer: 2358179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) -3 (b) 4 (c) -74\/43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -80 divided by 40\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1367680 divided by 40\nAnswer: 34192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*j**3 - 4*j**3 - 8*j**3 - 5*j**3.\nAnswer: -29*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 19773*x - 80209. Give c(4).\nAnswer: -1117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -16.6 (b) 0.3 (c) 0.4 (d) 0.1 (e) -44 (f) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10 or 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1681\/70 - 243\/10. Which is the second smallest value? (a) 2 (b) 0.1 (c) n (d) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**1*g)**(11\/6)\/((((g\/g**(1\/2))\/g*g*g)\/g)\/(g**(-4\/5)\/g)))\/((g**(2\/5)*g)**(-4)\/((g**(1\/6)\/g)\/g*g*g*g**(1\/9))) assuming g is positive.\nAnswer: g**(326\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 19?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -71*p + 4. Let v(z) = 2*z + 600. Let n(s) = -12. Let c(b) = 100*n(b) + 2*v(b). Calculate c(f(y)).\nAnswer: -284*y + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = -1068 - 1980. Let h = 4743 - n. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 63952 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -6*j + 2. Let c(s) = 4*s**3 - 6*s**2 - 3*s. Let h be c(2). Suppose 25*f = 24*f + h. Calculate k(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*y - 605 + 2488 = -11*y - 8147 for y.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*2*((sqrt(700) - (sqrt(700) + (0 + sqrt(700))**2))*2 - (2 + sqrt(700) + 1)).\nAnswer: 120*sqrt(7) + 16836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 96896 and -0.4.\nAnswer: -38758.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2*t - 14 = 0, 4*f + 72 = -4*t + 124. Calculate the remainder when f is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**3 + 4*t**2 - t + 2. Let u(i) = -8*i**3 - 58*i**2 - 176*i - 172. Let n(l) = 2*q(l) + u(l). Determine g so that n(g) = 0.\nAnswer: -7, -4, -3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-12) - (-2)\/6. Let d = g - -35. What is the remainder when d is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1151*h + 877*h + 1513*h + 911*h - 643*h to the form q*h + b and give q.\nAnswer: 3809","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 3*p - p + 2021, 3*p = -k + 692. Let n = k - -47. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 3*a**2 + 3*a - 1. Let t be ((-16)\/4 - -2)\/1. Let q be v(t). Suppose 4*z + 5*i + 2 = 3*z, z + 3*i = 0. Solve x - z*m = -2*m + q, -5*m - 1 = 3*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 2*x**2 - 36*x + 5 + 6*x**2 - 2*x as c*x + o*x**2 + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -8077.\nAnswer: -5\/8077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - 2 + 2 + (-4 + 4 - 2)*(a - 4*a + 2*a))*(-2*a + a**2 + 2*a)*(-5 + 5 + 1).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 149 + -145. Suppose p*i - l = 3*i + 503, -2*l = i - 503. What is the hundreds digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**3 + 54*f**2 + 242*f + 186 = 0 for f.\nAnswer: -3, -1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -8733*o + 13. Let h(q) = 5829*q - 8. Calculate 8*h(y) + 5*m(y).\nAnswer: 2967*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3*v. Let w(m) = 266502*m. What is d(w(c))?\nAnswer: -799506*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2301467?\nAnswer: 7, 328781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 31*b**2 - 21*b + 4. Let k(c) = -62*c**2 + 47*c - 9. Calculate -4*k(m) - 9*v(m).\nAnswer: -31*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/6*1*66\/44*1. Suppose 13 = 4*l - 3. Sort 3, j, l in decreasing order.\nAnswer: l, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -63*q + 722. What is t(11)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/((-6)\/9*(-9)\/(-12)). Calculate the greatest common divisor of i and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 9. Suppose -3*m - u + 10 = 0. Is -2*2\/m + 8 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + d**3 + 2*d**4 - 6 + 5 as w*d**2 + f*d + i*d**3 + k + j*d**4 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31 + -533. Let m = 501.9752 + y. Round m to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by 59580.\nAnswer: 1\/5958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -140.969 rounded to 1 decimal place?\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 6*m - 2*m - 10, 4*d = 4*m + 4. What is the first derivative of -4 + 102*b**2 + 81*b**d + 6 - 151*b**2 wrt b?\nAnswer: 64*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-7) - 36\/(-21)) + 10. Suppose -32 = 4*l + f*l. Let k be (2 - (l + -148))\/2 + 2. What is the highest common divisor of k and 195?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 + 301777. Let y(k) = 2*k. Give z(y(b)).\nAnswer: 4*b**2 + 301777","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 8*g**2 + g - 9. Suppose 3 = -5*p + 43. Let i be r(p). Let t be i - (-2 - (-1 - 0)). Is 1 equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/c**(1\/5)))\/(c\/((c\/c**6)\/c)))**50 assuming c is positive.\nAnswer: c**(-340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -4*h**2. Let x be o(-1). Let n be 51 + -71 - -37 - 3*4. What is the closest to n in -3\/13, -0.3, x?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 564596 and 19100?\nAnswer: 764","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 964*n - 11 = 966*n - 3*r, -n + 2*r - 7 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -4*y + 43, -3*y + 4*t + 9 = -0*y. Let r(s) = s**3 - 7*s**2 + s + 1. Let c = -24 - -30. What is the lowest common multiple of c and r(y)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/204291081 and 9\/22699009.\nAnswer: 204291081","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.199957 rounded to 3 dps?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a gram in milligrams?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (1090069 - 1090069 - 1617*z)*(-z - 2*z + 2*z) + (0*z + 3*z - 5*z)*(1 + 3*z - 1) in the form j + n*z**2 + w*z and give n.\nAnswer: 1611","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 3*f + 27 + 80, -2*f - 10 = 0. Let j = -14 + k. Suppose 355 = j*g + 121. Calculate the highest common divisor of g and 104.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 383 + -381.92. Which is smaller: 1\/3 or u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 2, 58, 4 in descending order.\nAnswer: 58, 7, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ytkttktqkkqdktddtt. Give prob of sequence ydkd.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8222 = 4*w - 3*i, -22*w + 17*w + 10287 = i. What is the hundreds digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3401584, 6803170, 10204756, 13606342, 17007928?\nAnswer: 20409514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/25 (b) 1\/776 (c) -4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6 - 330320\/(-20) - 7.\nAnswer: 3, 5, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -1012?\nAnswer: -1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 - 1)*(c**2 - 8*c**2 + 3*c**2)*(-11*c + 41*c + 15*c) as w*c**2 + f + t*c**3 + n*c and give t.\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/9)\/(((-3)\/(-12))\/((-171)\/304)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22209995 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((-45)\/162*3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 3*q - 15 = -0*x, x + 3*q = -5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 3 = 0, -5*v - 4124*x = -4125*x + 59 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14*j**3 + 45766*j**2 - 824057 wrt j.\nAnswer: 42*j**2 + 91532*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*n - 7344 = 5*f, -f - 29 - 43 = n for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2568797, 2568799, 2568801?\nAnswer: 2568803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 656 is divided by 67?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 0*h + b + 25 + 22 = 0, 4*h + 4*b - 156 = 0 for h.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-11)\/(r*r**(1\/3)))\/((r*r\/(r**(-6\/7)*r*r*r)*r*r)\/(r**(-2\/29)*r*r*r)) assuming r is positive.\nAnswer: r**(-6857\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 13*y**2 + y - 8. Let p(s) be the first derivative of -38*s**3\/3 - 3*s**2\/2 + 23*s + 3465. Calculate -17*a(d) - 6*p(d).\nAnswer: 7*d**2 + d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -7*v**2 - 3. Let n(f) = -76*f**2 - 26 + 10 - 16. Determine -32*h(z) + 3*n(z).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01695 to three dps.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.16 + -0.16. Which is greater: g or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.08, -1\/3, 3\/2, 4, 2\/17?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4)\/(-8))\/1*4*21 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*sqrt(1694))\/sqrt(7))**2 - (sqrt(32) + 5 + 1*sqrt(2)*-1))*2.\nAnswer: -6*sqrt(2) + 4346","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4685172.\nAnswer: 2, 3, 19, 20549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*y**4\/2 + 3*y**3\/2 - 39*y**2\/2 - 75*y\/2 - 18 = 0. Calculate y.\nAnswer: -3, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 414.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 w, and 1 d when three letters picked without replacement from gxdkwxgid.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 161 and 230?\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3723 - 3723. Which is smaller: -140\/209 or h?\nAnswer: -140\/209","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2616 is divided by 537?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32 - -37. Solve 0 = -5*u + 5*l + 10 + 15, 0 = -u - c*l + 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 462, 466, 478, 504, 550, 622, 726, 868?\nAnswer: 1054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12420 and 363360?\nAnswer: 75215520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*(-5)\/30 + (-147136)\/48. Is a less than -3064?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 190844477 to the nearest integer?\nAnswer: 13815","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*((-70)\/10)\/70?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7042252662 rounded to the nearest one million?\nAnswer: 7042000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.8 - -2. Suppose -3*m + 2 = 5. Let z be (8\/10)\/(1*2). Sort z, k, m in ascending order.\nAnswer: m, k, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 2\/357, 0.1, -1\/2, -2\/131, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r + 2*r + 3*r)*(131 - 4*r - 131)*(-1 + 2 + 6).\nAnswer: -28*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7009.16 or 2\/7?\nAnswer: -7009.16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wpg when three letters picked without replacement from {y: 3, g: 2, d: 2, p: 6, w: 3}.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 20 + 28843*x - 28837*x.\nAnswer: 6*x + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 790 and 490?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66312 and 3.\nAnswer: 66312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 i when four letters picked without replacement from {k: 11, n: 1, i: 6}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 74080 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 99708, 99750, 99826, 99942, 100104, 100318?\nAnswer: 100590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3551425 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/13, -11, -75, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*c**3 + 7*c**3 - 6*c**3)*(1 + 4*c + 1 + 8*c).\nAnswer: 264*c**4 + 44*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 2891349 - 4606581 = 1210070. What is p rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1012*m = -54*m - 10319 - 12673 for m.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 515 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/5 (b) -4.9 (c) 0.14 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b944 (base 12) to base 11.\nAnswer: -14326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of s**3\/3 - s. Let i(m) = 4*m + m - m + 2*m - 2*m. Give i(n(r)).\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6554189\/1890 + 463\/378. Let l = n + 3479. What is the common denominator of l and -32\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58765361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1076562 and 3708?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 876 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 - 18*t - 16. Calculate the remainder when 143 is divided by g(-16).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 10. Let m be x(0). Let y be 35\/m*8\/14. Suppose -i - 100 - 162 = -l, 0 = -y*l + i + 527. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence em when two letters picked without replacement from lemelllmm?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 - 3*y - 5*y + 6*y. Let m(a) = a**2 - a. Let d(q) = -6*q**2 + 7*q. Let f be 2\/(-3)*(-7 + 1). Let n(h) = f*m(h) + d(h). Calculate 3*c(b) + 2*n(b).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 66695 by -463.\nAnswer: -66695\/463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 + 33 - (1 - -15 - 7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43841.\nAnswer: 7, 6263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1972549763 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(3*sqrt(143)*-1 + 5*(sqrt(143) - sqrt(143)*1)))\/((sqrt(99) + sqrt(99)*2)*-3*-1).\nAnswer: sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((0 + sqrt(405) + sqrt(405) + -1 + sqrt(405))*6)**2*-4 + 1).\nAnswer: -38880*sqrt(5) + 2625115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -6. Which is the closest to 2? (a) -4 (b) 0.2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20568292447 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2 = 5*d, -5*d + 0*d = -5*n - 10. Let a(t) = -t**2 + 6*t - 9. Let u be a(6). Let p be (-60)\/u + 1\/3. Solve 2*r + p = f, d*f - 7 = -r + 4*f for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + 15*g**2 + 25*g - 14. Let u be s(-13). Let r be 2\/3*3\/8. Is r less than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (26*u - 46*u + 12*u + 111*u)*(3*u - 5*u + u) to the form d*u**2 + w*u + a and give d.\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 402*j - 1145 + 207*j - 1800 + 472.\nAnswer: 609*j - 2473","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00241484053 rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1894225 divided by 22285\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 3*i - 6. Let z be 0*-1*(-3)\/i. Suppose 0 = 3*l - z*l - 363. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-6) - (-4)\/(-6). Let j(q) = -q + 15. What is the units digit of j(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-12)\/(16\/(-4)))\/((-12)\/(-500)) is divided by 4\/(-8) + (-174)\/(-4).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/137402 and -62\/130295.\nAnswer: 7557110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 0 = -12. Suppose -2*g + r + k*r = -8, 5*g = -2*r - 9. Which is the second biggest value? (a) 2\/9 (b) -0.3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -2 - (-12 - -12) - 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/32)\/(8*(-11)\/352).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26.048 + -26. Let f = l - -19.952. Let b = f - 15. What is the biggest value in 1, -0.1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 137060 and 109648.\nAnswer: 548240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7023, -7277, -7531, -7785, -8039, -8293?\n\"Answer: -254*d - 6769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8765484*u**3 - 1262710*u wrt u?\nAnswer: 52592904*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -16987*l**2. Let n(f) = 3*f**2 - 52. What is n(k(g))?\nAnswer: 865674507*g**4 - 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1067\/5 + 213. Let v(t) = -t. Let z be (-2)\/(-2) - (-1 + -1). Let m be v(z). What is the closest to a in -1\/3, m, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of f**5\/20 + f**4\/12 - f**3\/6 + f**2 + 23*f. Let k = 9 - 9. Determine x(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10210134320 (base 5) to base 8\nAnswer: 50432671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57634.27ug to milligrams.\nAnswer: 57.63427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 176 and 11.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.3 + 3.4. Let d = z - -0.4. Put d, -2\/11, 1\/14 in descending order.\nAnswer: 1\/14, -2\/11, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 47?\nAnswer: -9\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 210245, 212023, 214987, 219137?\n\"Answer: 593*t**2 - t + 209653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1071041*p = 1071053*p + 297 + 195 for p.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + -1. Calculate the lowest common multiple of 12 and (h + -1)*(-36)\/21.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-26))\/(1188\/(-247104))\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -23 + (-6)\/((17\/68)\/((-2)\/(-12))). Let z = 4.9 + -0.9. Which is bigger: q or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z + 2. Let d(k) be the first derivative of -k**3\/3 - 95. What is d(w(r))?\nAnswer: -r**2 + 4*r - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*p + 7386 = 9492 for p.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/5 or 10091737?\nAnswer: 10091737","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/3 + 9*-1. Let b(l) = -l - 3. Let u(p) = 4*p + 8. Let t(v) = o*b(v) - 3*u(v). Let s(a) = a**2. What is s(t(j))?\nAnswer: 16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**2\/7 - 118*l\/7 - 72 = 0. What is l?\nAnswer: -4, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 39 = -39. Solve -2*x - 3*x + 3*u + 19 = c, -3*u + 6 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 7*x. Let o(d) = 3*d + 10. Let w be o(-5). Let c be m(w). What are the prime factors of 30\/(-1)*14\/c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 4*v**2 + 6. Let c(h) = 3*h**2 + h + 5. Let w(t) = 5*c(t) - 4*x(t). Suppose 2*f = 5*z - 30, -13*f = -16*f. Give w(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3488 - -3487.9078. What is k rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45\/14, -1\/4, 0.2, 307, -0.23 in descending order.\nAnswer: 307, 0.2, -0.23, -1\/4, -45\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 13262\/1396*(-904)\/(-76)\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/6 or 3\/169?\nAnswer: 3\/169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1369992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 4098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -1 - 14\/(-42)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + 16*x - 13. Let w be u(12). Let k be (-1 - 5)*w\/(-15). Let q be 210\/4*(-16)\/(-12). What is the greatest common divisor of q and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -449 + 475. What is o in 13 - 2*o**2 + 16 - 53 + 0*o**2 - f*o = 0?\nAnswer: -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(567)*3)**2.\nAnswer: 183708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 0*k + 2\/3*k**2 - 2\/3 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 675*l**2 + 35*l - 10. Let q(v) = -3376*v**2 - 182*v + 52. Determine 26*g(z) + 5*q(z).\nAnswer: 670*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -10\/13, -16\/21, -2\/13, 0.3 in descending order.\nAnswer: 0.3, -2\/13, -16\/21, -10\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-5 + (-177)\/5)*(-20)\/8 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 11:08 PM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/50 and (-8 + -5)*(-1)\/(-55).\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 60*v**5 + 94*v**5 - v**5 + 51*v wrt v.\nAnswer: 3060*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34653.\nAnswer: 3, 11551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**2 + 201*p + p**2 - 213*p.\nAnswer: 2*p**2 - 12*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 93a - 4156?\nAnswer: -3317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x = -6*x + 4*r + 16, -x = r + 7 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 112523050 to the power of 1\/2, to the nearest integer?\nAnswer: 10608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1020209913.\nAnswer: 3, 1597, 70981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 47, 41, 37, 35, 35?\n\"Answer: q**2 - 9*q + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -22 + -705?\nAnswer: -727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -121124544 (base 6) in base 13?\nAnswer: -625a23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*z + 1009 + 2766 = 0. Suppose -2*j = -z - 319. What are the prime factors of j?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 - 2)*(9039*i - 9040*i + 283*i**2 + 4678*i**2) to the form u + w*i**2 + p*i and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(1302\/436 - 3). Suppose -4*l = -2*v - h, 0 = -l + 5*v - 10*v + 87. What are the prime factors of l?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (4 - (9 + -11 - -10))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 - -3 - (-5 - 1). Let y = 0.5 + -0.5. Let d = -0.3 - y. Which is the closest to 1? (a) s (b) -2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h. Let o(m) = -9*m**2 + 3*m**2 + 0*m**2 + 3*m**2 + 3. Calculate z(o(d)).\nAnswer: -6*d**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 422909 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 1. Suppose 0 = -5*c + 2*c. Put m, c, -1 in descending order.\nAnswer: m, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 252953644?\nAnswer: 2, 487, 129853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 885593800 to the nearest one hundred thousand.\nAnswer: 885600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r - 4. Let s be f(-3). Let v be -23 + 1\/3*3. Let m be (v + 2)\/(-3 + s). Solve 5*t + m = -4*d, 5*t + 3*d + 11 = -9 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 582913 and 697?\nAnswer: 23899433","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-6 - -2) + 126 - (1122 + -1125).\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*b + 92*b + 81 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1134 divided by 42?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13176754 + -2?\nAnswer: -13176756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = -13*d + 16*d + 7, -2*d = 8 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40420 by 470.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 726.4 rounded to the nearest 10?\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 18*q**2 - 20*q + 5. Let a be t(19). Let r be 4\/a - 600\/(-140). Solve -4*x = i + r, -5*i = -3*x - x - 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7829503 and 136?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**3 + 698*u**2 - 10066*u + 35574 = 0. What is u?\nAnswer: -363, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/10*35\/(-42)*-6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2065 + 2067. Let w = -0.08 + -0.01. Let v = -0.59 - w. What is the fourth smallest value in v, h, -7, 0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1506 and -6?\nAnswer: -9036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 20 = 0, -2*t - 32*g = 13*g + 22*g + 301 for t.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*z + 15*n + 54 = 13*n, 100 = -5*n for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 330 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/27678 and 39\/1130185?\nAnswer: 6781110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 3 = -g + 1, 13 = -3*g - 4*b for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 246412 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 - 2*r - 5. What is u(-4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**2 + g - g)*(-2*g + 2 - 2) + (-4*g**3 - 2*g**3 + 4*g**3)*(3 - 3 + 1).\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g - 3. Calculate a(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 + 6*k - 9. Let q = 203 + -196. What is o(q)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0*((-14)\/77 - 100\/660). Which is bigger: 2\/11557 or n?\nAnswer: 2\/11557","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 363? (a) -2\/7 (b) -4 (c) 33 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -8 - (-7 + (4 - 1)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2904)*1 - sqrt(2904))\/(2*sqrt(8)*-2))**2 - (sqrt(264)\/(2*sqrt(8)) - sqrt(33))\/(sqrt(275) - sqrt(275)*2 - sqrt(11)))*-3 + -1.\nAnswer: -1 + sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 3024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117000.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*o = 33*o + 567*o - 1244 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -183 - -185. Factor 8 + 3*k**2 + 8*k**2 + 18*k - 3*k**4 + j*k**4 + 0.\nAnswer: -(k - 4)*(k + 1)**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -159, -159, -167, -189, -231, -299?\nAnswer: -399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 1 = 3*v. Suppose 3*h - 20 = -h, q - v*h = -23. Factor 2\/5 + 6\/5*w**q - 2\/5*w**3 - 6\/5*w.\nAnswer: -2*(w - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 21*k**3 + k + 12. Let x be r(-4). Does 10 divide 21\/27 - 1 - x\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g**2 + g - 3*g - 4 + 2)*(-18*g**2 + 29*g**2 + 51*g**2) to the form j + p*g + q*g**2 + w*g**3 + t*g**4 and give q.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nvvmvvjmmjvmvvvm. Give prob of sequence nvvj.\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 124*d**3 - 2*d**2 + 3*d - 2. Suppose 3*j = j. Let n be j - (-1 + 3)\/(-2). Is x(n) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 9685?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 145950 or 145948?\nAnswer: 145950","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of -a**8\/1680 - a**7\/840 + a**6\/360 + a**5\/120 - 34*a**3 - 102*a - 1. Let b(x) be the second derivative of i(x). Factor b(r).\nAnswer: -r*(r - 1)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 2 - (-10 - -17 - 9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/5 of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zeiezzqeeezezeie. What is prob of picking 2 e and 2 i?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - 83b801?\nAnswer: -83b805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1003, -3 in increasing order.\nAnswer: -5, -3, 1003","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000509288465 rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 349.1844 weeks to days.\nAnswer: 2444.2908","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u**2 + 6*u**2 + 9 - 7*u**2 + (4*u + 0*u - u)*(-u - 7*u + 5*u)*(1 + 1 - 3).\nAnswer: 11*u**2 + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 42\/1565 - -29\/1252. Put -242, j, 5, 0.4 in descending order.\nAnswer: 5, 0.4, j, -242","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 y, 1 a, and 1 f when four letters picked without replacement from fafafvttvuyf.\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-10)\/(-15))\/(4\/(-30)). Are -2 and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 151\/629?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 156\/10369 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z - 10*z + 3*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*11\/(-176)*44\/(-33)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1372 is divided by (-204)\/(-238) - (2\/1 + 5306\/(-98)).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f**3 + 242460*f**2 + 1454648*f + 1939488 = 0. What is f?\nAnswer: -60609, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -21000 divided by 9\nAnswer: -7000\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11022210211 (base 3) to base 5.\nAnswer: -10211103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 173131260?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -4. Let c = 0.5 + -0.3. What is the closest to -1 in c, -5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7456135 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*l - 36*l = -3*v + 9, -2 = l + 2*v for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 442 and 234.\nAnswer: 3978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 168 - 98. Let v be -2*7\/l*230\/(-4). Is v less than 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, 833, 2 in descending order.\nAnswer: 833, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007452 rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 400 and 149200.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of o**4\/24 - 5*o**2 + 36. Let p(w) = -2*w**2 - 150. Give a(p(i)).\nAnswer: -2*i**2 - 150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert ba4 (base 13) to base 9.\nAnswer: 2654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of -17*h**8\/56 + 5*h**4\/12 + 27*h. Find the third derivative of m(x) wrt x.\nAnswer: -2040*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.4797579 and 0.028?\nAnswer: -0.0414332212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, 34, 1.038 in decreasing order.\nAnswer: 35, 34, 1.038","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -93*p - 2. Let n be w(-10). Calculate the highest common factor of n and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46252011 and 138.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that q**2\/9 + 127928*q\/9 - 170576\/3 = 0.\nAnswer: -127932, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -96273.1 + -0.3?\nAnswer: -96273.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1666.8 + 1547. What is the biggest value in -5, 1, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yhcp when four letters picked without replacement from hjphpyshsyspyspsc?\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 1, -5, -7 in ascending order.\nAnswer: -15, -7, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 AM and 1:12 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -320 - -323. Suppose 0 = w*a + z - 1156 - 1002, a + 2*z = 716. Does 40 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 111 + -104. Is 287 + (c - (6 + -6)) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)\/sqrt(6)*5)**2 + sqrt(170)\/(sqrt(10) - (sqrt(10) + sqrt(10)*3)).\nAnswer: -sqrt(17)\/3 + 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 6*b**2 - 2*b. Let r(x) = 42*x**2 - 15*x. Let z(m) = -45*i(m) + 6*r(m). Let p(o) be the second derivative of 7*o**4\/12 - 205*o. Determine p(z(q)).\nAnswer: 2268*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -266479*c**4 - 954*c**2 + c - 4?\nAnswer: -6395496*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*u + 95 - 9*u + 13*u - 93 in the form d*u + y and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - (-8 + (-12)\/(-3)). Solve -4*z + 6 = -c, 3*z - 9 - 4 = m*c for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19782, 79125, 178032, 316503, 494538, 712137?\nAnswer: 969300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of -i**5\/20 - 49*i**4 - 733*i**2 - 1252*i. Differentiate d(h) with respect to h.\nAnswer: -3*h**2 - 1176*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87319962 rounded to the nearest 1000000?\nAnswer: 87000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -43\/22? (a) 0.1 (b) 0 (c) 0.34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 144666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*x**3 - 2*x**3 + 5*x**3 + ((-3*x + 0*x + 4*x)*(x - 2*x + 0*x) + 2*x**2 + x - x)*(-139*x - 106*x + 419*x).\nAnswer: 172*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -26303311?\nAnswer: 26303313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1484528 (base 9) to base 10.\nAnswer: 823472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d - 3*d + 2*d - 5*d.\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 45091 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d - d**2 + 48 - 5314*d**3 + 0*d - 48.\nAnswer: -5314*d**3 - d**2 - 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 8:49 PM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p - 9. Let q be (-9)\/(-9)*-1*4. Let v be y(q). Is v at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 9, v: 2, f: 5, b: 1, g: 1}. Give prob of picking 1 v, 1 u, and 1 g.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*v + 9371 = 9046 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 45*o**5\/7 - 5525382*o**4\/7 - 9577420*o**3\/7 - 5402664*o**2\/7 - 982304*o\/7 = 0.\nAnswer: -2\/3, -2\/5, 0, 122788","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 9) to base 11\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 694?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (4\/10)\/(9\/(5040\/(-32)))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rzkk when four letters picked without replacement from {u: 2, x: 4, k: 2, t: 3, z: 2, r: 2}?\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 4*q - 13. Let z(p) = -109*p - 19. Determine z(n(f)).\nAnswer: -436*f + 1398","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1582 and 3842?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2015 and 1891?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 164, 192, 218, 242, 264?\n\"Answer: -u**2 + 31*u + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 128442510 and 13365?\nAnswer: 1215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of r**10\/25200 - r**6\/45 + 17*r**5\/60 - 6*r**2. Let m(w) be the third derivative of h(w). Differentiate m(q) wrt q.\nAnswer: 24*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + 12*x + 4. Let g(y) = 7*y + 120. Let h be g(-17). Let q be h\/6 - 441\/54. What is i(q)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - u + w = -339308, -4*u = -3*w - 452419. Suppose -3*v - u = 69299. Let t be v\/16*(-6)\/(-4). What is t rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -488177196.3677 and -5.\nAnswer: -488177201.3677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*c - 1 - 3*c + c)*((c**2 + c**2 + c**2)*(-2*c + 2*c + 2*c) + 0*c**3 + 14*c**3 - 5*c**3).\nAnswer: 90*c**4 - 15*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3*v**3 - 3*v**2 - 3*v + 4. Let x = -23 - -26. Calculate the remainder when 95 is divided by c(x).\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 7 + 1)*(-2*f**2 - 2*f**2 + 5*f**2)*(4*f - 2*f - f) as r*f**3 + m*f + y*f**2 + v and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0.3, 0, -0.4259, 5 in ascending order.\nAnswer: -0.4259, 0, 0.3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 161 = -o, 3*h - 3*o - 267005 = -266894 for h.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p + 1 - 1 + (5 - 1 - 3 + (0 + 8 + 2)*(-3 + 2 + 5) + 2 - 2 - 1)*(4*p - 3*p + 0*p).\nAnswer: 36*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13\/20 - 9\/10. Let q = 1964\/9 + -218. Which is the second biggest value? (a) q (b) -2\/13 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) + 1*3*sqrt(114))\/(4*sqrt(216)).\nAnswer: sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - 3*y**2 - y**2. Let m(l) = -2*l**2. Let a(h) = -3*i(h) + 4*m(h). Let u(z) = 2*z - 205 + 205. What is u(a(j))?\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 169\/25652880 and -29\/11376.\nAnswer: 25652880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 106, -5, -1, -14, -2, -31 in decreasing order.\nAnswer: 106, -1, -2, -5, -14, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 2539\/30566?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 9\/4 (b) 366.3 (c) 0.5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5210 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 - 12.7. Round o to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -70*y + 37. Let m(q) = 138*q - 67. Give 11*c(l) + 6*m(l).\nAnswer: 58*l + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r - 5. Let z be t(10). Let l be 10*(6\/z - -2). Let d be (-8)\/l + 52\/3. What is the greatest common factor of d and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/(-7))\/((-104)\/(-364)))\/1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 + 15 - -25 - (-72 - -62).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t + 290*t**2 + 21*t**2 - 2*t - 3*t + 4*t to k*t + g*t**2 + m and give g.\nAnswer: 311","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(128) + (sqrt(128) - (sqrt(128) - (sqrt(128) + -1*sqrt(128) + 1))))**2 + 0.\nAnswer: 16*sqrt(2) + 127","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*o**3 - 8*o**3 + 8*o**3 + 15*o**3 - 4*o**3.\nAnswer: 22*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(500)*-1)**2.\nAnswer: 12500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -367355\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 + (45 - 32 - -29)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 54 = 28. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 354883316+-0.22726\nAnswer: 354883315.77274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 PM and 7:04 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 4*q**2 - 5. Let o(c) = 3*c**2 - 4. What is -2*l(t) + 3*o(t)?\nAnswer: t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 249.7635 centuries in months?\nAnswer: 299716.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 - 21 + 11*p - 32 + 77.\nAnswer: 11*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 35 - 15. Suppose 5*l - 4*a - 18 = -0, o*a - 27 = -2*l. Let c(p) = 4*p**2 + 3*p**2 - l*p**2 - 3*p**2. Let x(z) = 7*z. Calculate c(x(q)).\nAnswer: -98*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000010 (base 2) in base 10?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 + 3*y**2 + 14*y - 8. Let z be p(6). Let c be ((-7750)\/(-75))\/(4\/(-18)). Let l = z - c. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y - 4. Let m be z(-7). Let v be m\/(-12) - (-3)\/4. Let s be 77\/105 + (-1)\/3. What is the nearest to v in 4, 4\/7, s?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 25*l**2 - 3*l - 3. Let p(s) = 24*s**2 - 4*s - 4. Let h(t) = -3*p(t) + 4*w(t). Let i(d) be the second derivative of -d**3\/3 + 14*d. Determine h(i(m)).\nAnswer: 112*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -19 + 6 + (-25 + 16 - -52). Solve p*c - 7*c = 207 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q + 0*q - 5*q + (0 + 1 + 0)*(2*q + 0*q + q) - 3 + q + 3)*(-3 - q**3 + 3).\nAnswer: -2*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1166 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -27*x - 10. Let a(b) = b. Calculate c(a(j)).\nAnswer: -27*j - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/50 of a gram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20*((-52)\/(-11))\/((-792)\/(-1452)*5\/3)?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 1:35 PM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 111, 81, 27, -51, -153, -279, -429?\nAnswer: -603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 11:38 PM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -173084*a. Let m(z) = 3*z - 401. Determine m(u(q)).\nAnswer: -519252*q - 401","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 + -24. Let q(j) = 2*j**2 + j. Let t be q(a). Let n(h) = -h**3 + h**2 + h + 2. Let u be n(2). Put 2, u, t in decreasing order.\nAnswer: 2, t, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*z - 198 = 80 + 2218 for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*j = -46*j + q + 1, q = -j - 3*q + 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 5*q**3 - 45*q**2 + 11. Determine z(9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of 3*b**5\/20 - 5*b**4\/28 - 8*b**3\/7 - 6*b**2\/7 + 28*b. Factor l(z).\nAnswer: 3*(z - 2)*(z + 1)*(7*z + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q + 974*q**3 - 6*q - 962*q**3 + 9*q.\nAnswer: 12*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -7*u**2 + 100*u - 23. Let i be g(14). Suppose -f + 12 = i*s + 7, 3*s = 2*f - 10. Solve 0 = -5*m + 2*b - f*b + 6, -4*m - 6 = -3*b for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 130371?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5432 + 5845 = 435*m - 19162 for m.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hbhh when four letters picked without replacement from bhhh?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a hour in minutes?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1178 - -543. Let d = -632.09 - j. What is d rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.3 and 372.16.\nAnswer: -855.968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38150 is divided by 92.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45976.9 + -45977. Which is smaller: -20.023 or r?\nAnswer: -20.023","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4702, 9395, 14076, 18739, 23378, 27987?\nAnswer: 32560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2261, -2841, -3421?\n\"Answer: -580*s - 1681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 4*k**2 + 5*k - 6. What is the remainder when m(-3) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28a0 (base 11) to base 6.\nAnswer: -25152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**2\/5 + 159*c - 3132\/5 = 0. What is c?\nAnswer: 4, 261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 18*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 383668.9 weeks?\nAnswer: 232042950720000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 7*u - 5. Let s be x(1). Solve s = 5*w + 7 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**2 + 1. Let p be d(-1). Suppose 1 = p*z - 8. Suppose -349 = -z*i - 100. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -3*p - 1. Let y be r(1). Let a = y - -4. Suppose a = -2*j + 7*f - 3*f + 8, 0 = 5*f - 15. What is the lowest common multiple of j and 9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from rrvrrwwrwrrrrriere?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -9426*i + 9746488. Calculate o(1034).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of -2*r**7\/105 - r**4\/12 + r**2\/2 + r. Let h(y) be the first derivative of i(y). What is the second derivative of h(k) wrt k?\nAnswer: -48*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48597540?\nAnswer: 2, 3, 5, 269, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3 - 6750*v**2 - 9272721*v + 9279468.\nAnswer: 3*(v - 3212)*(v - 1)*(v + 963)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 84 = -12*w + 48, 3*y + 2*w = -6. Solve 17*q + 1 + 16 = y for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59021, 59140, 59273, 59420?\nAnswer: 59581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14604163571 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2914 and 94.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 + 19*o - 83. Suppose 0 = -4*p - 2*r + 7*r - 123, -2*p + 2*r - 60 = 0. Is m(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 393443 bigger than 2754100\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/114 and -14\/19.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -536.6 < -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/10*(-10)\/8. Let f be -2 + -2*(-2)\/1. Let a*y**f + 0 - 1\/2*y = 0. What is y?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -5*c + 2. Suppose -u = -3*n + n + 22, 3*n - u - 32 = 0. Let y be s(n). Let k = 84 - y. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -1, 2, -2, 4 in decreasing order.\nAnswer: 4, 2, -1, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**0)**(1\/6)\/(r*r\/((r\/(r*r*r**1))\/r)*r**(-10)*r) assuming r is positive.\nAnswer: r**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(720) + (sqrt(720)*-2*-6)**2 + ((sqrt(5) + 2)*2 + -5)**2.\nAnswer: 8*sqrt(5) + 103701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a**2 - 31*a - 2. Let m(r) = 133*r**2. Give p(m(d)).\nAnswer: 53067*d**4 - 4123*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 5*p**3\/2 - 15*p**2 - 495*p\/2 + 260 = 0.\nAnswer: -8, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -25.\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 57*q - 123. List the prime factors of c(28).\nAnswer: 3, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 589 + -162. What is the remainder when g is divided by (10\/(-80)*4)\/(2\/(-156))?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -201 at least as big as -198?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/5*(-7769)\/38403. Let i = 3\/251 - u. Let -i*v**2 - 2\/5*v - 4\/15 = 0. What is v?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(605)*1 + (-2*sqrt(605) - sqrt(605))*6)*-5)**2.\nAnswer: 4371125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a millimeter in micrometers?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = o + 4*x, -3*o + o = x - 6 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6674785 (base 10) in base 8?\nAnswer: 31354541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of 683*o**5\/60 + 635*o**3\/6 - o**2 - 48. Find the first derivative of m(d) wrt d.\nAnswer: 1366*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.06065722 rounded to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of 69 + 40\/9*m**3 - 19*m**5 + m + 24\/5*m**6 - 16\/3*m**2 + 130\/9*m**4. Determine g, given that d(g) = 0.\nAnswer: -1\/4, 2\/9, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 564909?\nAnswer: 3, 188303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2874*k - 3432 = 2911*k - 1138 for k.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 106 and 2952178.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.294214 plus -85.3?\nAnswer: -85.594214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 198216 by 2753.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 448033332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -2, -5, -3 in decreasing order.\nAnswer: 16, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2108877 is divided by 1044.\nAnswer: 1041","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*u - 23*u - 2*a = -417, 360 = 4*u - 5*a. Does 5 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**3 + 15*n**2 + 2*n - 1. Let l(f) = -11*f**3 - 211*f**2 - 765*f - 1137. Let c(o) = 6*k(o) + l(o). Suppose c(x) = 0. What is x?\nAnswer: -3, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1555\/70642 + -8\/1859. Suppose 5*c - 3*y + 1 = 0, 0 = -2*c + 6*c - 2*y. Is c <= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 389 is divided by 192?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 41310000 to the nearest one million.\nAnswer: 41000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + 9*z - 11. Let y(b) = b - 1. Let k(t) = -g(t) + 5*y(t). Determine k(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6647 + -265771\/40. Calculate the common denominator of u and -53\/588.\nAnswer: 5880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**2 + 29*y + 5. What is the tens digit of b(13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 29 - 165 = 0. Suppose c + 4*t - 20 = -3*c, -c + 5*t - 25 = 0. List the prime factors of -3*(n\/(-12) - c).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2224*n - 28 = -2225*n + 10*t, -3*t + 17 = -4*n - 6*t for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 35 = 3*t + 5*z, -3*z = 15. Let k be 4\/(-6)*t*3. Let c = k + -7. Solve -7 = -q + 4*d, -c*d - d - 9 = q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*((n*n\/(n\/((n*n\/(n**(-1\/7)*n)*n)\/n)))\/n)\/n*n\/(n\/(((n*n*n\/(n*n\/((n*((n**(-12)*n)\/n)\/n)\/n)*n)*n*n)\/n)\/n*n)*n*n))**(2\/9) assuming n is positive.\nAnswer: n**(-20\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 - -7. Let x be (621\/12)\/((-1)\/h). Let t = 705 - x. Find the common denominator of -59\/2 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -148525*i**6 - 5*i**3 - 44374398*i**2?\nAnswer: -17823000*i**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -50394 rounded to the nearest one thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 140457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 4*t - 528, 178 = -4*g + 3*g + 2*t. Let q = 2409 + g. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(0 + sqrt(171)\/(sqrt(567)\/sqrt(7)))*4*-1.\nAnswer: -20*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2801930998 + 0.0827?\nAnswer: -2801930997.9173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -1. Suppose -f*v - 2*d = -112 + 22, -v = -4*d. Solve -5*o + v + 5 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 28 = 4*l, 116*n - 111*n - 55 = -5*l for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3317 to two decimal places.\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 5*n = -20, -1 = 2*n + 7. Suppose -23*o + 17*o + 24 = x. Solve o*g - 9*g = 5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 24366637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.55 + 4.55. Let t = f + -5. Let s(x) = -2*x - 9. Let q be s(-7). What is the closest to t in -2\/7, q, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, 139, -1\/5, -5, -0.014, 3?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j + 16. Let g be x(-14). Let y(f) = -7*f + 93. Let n be y(13). Factor 4*z + g - 5\/2*z**n.\nAnswer: -(z - 2)*(5*z + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1170845, -2341690, -3512537, -4683386, -5854237, -7025090?\n\"Answer: -o**2 - 1170842*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fftt when four letters picked without replacement from tttrwrtfrwtrrwtjtjfj?\nAnswer: 7\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 - (28 - -14) - -9 - ((1 - -1) + -1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/16 and (54845\/10080 - (-4)\/(-18)) + -3.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1038300 to the nearest 10000.\nAnswer: 1040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-175230)\/(-192753))\/((-50)\/(-132))?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 + 13. Let g = 4.2 + -3. Let p = -3.8 - g. Which is the smallest value? (a) o (b) p (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67179 is divided by 2830.\nAnswer: 2089","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7c - -1279?\nAnswer: 1317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mtmmtvmttv. What is prob of sequence ttv?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 11 - 3 = 3*q, -5*q - 20 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5\/(-1)*(-230)\/25 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30812 - 6*y + y + 30812.\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 6*t**2 + 130*t + 84 = 0.\nAnswer: -21, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f + 30 = -47 + 7 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11020 and 20405183.\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2686\/487 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -24*l**3 - 8*l**2 - 5*l - 7. Calculate the remainder when y(-2) is divided by 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**3 + 24*l**2 + 7 - 18*l**2 - 2*l**3 - 1 + 11*l = 0. What is l?\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 278*o**2 + 20*o + 8448?\nAnswer: 556*o + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - 2*q**2 - 1. Let j(w) be the third derivative of -w**6\/12 - 3*w**5\/4 - 5*w**3\/6 + 4*w**2 - 10. Let x(s) = j(s) - 5*o(s). Factor x(r).\nAnswer: -5*r**2*(r + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 1:12 PM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 17 = -18. Suppose z*y - 99 = 13. Calculate the remainder when 108 is divided by y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9499 and 322?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14799 or -576?\nAnswer: -576","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(40\/64))\/(2\/(-5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -2. Let r = 0.6 - 0.2. Let q = 1.3 - 1.7. Sort q, c, r in increasing order.\nAnswer: c, q, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -601.406 to the nearest integer.\nAnswer: -601","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 284, 205, 136, 83, 52?\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/10 + 66\/(-385). Which is the closest to 0.1? (a) -2 (b) n (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-11))**(-1\/3)*(w*w**17)**50 assuming w is positive.\nAnswer: w**(2711\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 31*b - 1. Suppose -69*a + 384 = -66*a + 5*j, 5*j = 30. Calculate the remainder when a is divided by m(1).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4389, -3893, -3397?\nAnswer: -2901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 9. Let l(g) = 3 + 13444504*g**3 - 7*g**2 + 13444505*g**3 - 26889008*g**3 - 3*g. Calculate l(i).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2. Let n(l) = l**3 - 2*l**2 - 2*l. Suppose d = 4*k + 14, 2*d - 658*k + 654*k - 16 = 0. Calculate d*j(c) - n(c).\nAnswer: -c**3 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n + 140 - 144 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*i, 8*q - 7*q - i + 270 = 0. Let g = q - -265. Sort -4, 4, g in ascending order.\nAnswer: -4, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-731)\/43)\/((-1)\/4*18\/(-9))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38467334.\nAnswer: 2, 673, 28579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3*t + 18. Let d be n(5). Let l be 2\/(-4)*(-3 + d). Solve -3 = -l*v + 3*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12\/10 + 0)*(-200)\/(-60). Suppose -c + 4*u + 13 = 0, 35 = y*c - 4*u + 7. Suppose -2*k + 0*n + 83 = -c*n, n + 103 = 2*k. Does 18 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 384799017 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (42\/(-2576)*(-28)\/63)\/((-7)\/28)\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5 + (6*(-2 + (sqrt(396) + 2)*-4) + -1)**2.\nAnswer: 17568*sqrt(11) + 231825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 13 + 3. Let c(d) = d + 1. What is the remainder when x is divided by c(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -109, -254, -467, -754, -1121, -1574?\nAnswer: -2119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 896 + -516. List the prime factors of v.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**5 + 27934*g**4 + 111702*g**3 - 27958*g**2 - 446840*g - 335112 = 0. What is g?\nAnswer: -13963, -3, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97833 is divided by 98.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 h when three letters picked without replacement from oooottothoooothttoto?\nAnswer: 11\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 + 12*s + 307. Let w be z(0). What is the second derivative of -26*x**2 + 5*x - 7*x - w + 282 wrt x?\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 24421473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1913?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ydsnaggy. What is prob of sequence ad?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = 5*x - 3*x - 4, 2*x = -5*r + 18 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37 - -38. Do u and -5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 10*b**2 + b + 4. Let m(k) = k**2 + 1. What is -6*m(c) + n(c)?\nAnswer: 4*c**2 + c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 135 and 2040.\nAnswer: 18360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l + 3. Let m be a(0). Suppose -72 = -m*v - 9. What is the remainder when 60 is divided by v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -4*k**2 + 212*k + 216. Give g(54).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27459\/2 - -193301\/14. Let d = -1973\/28 + h. Calculate the common denominator of d and 7\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41531638 to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-55 + 67)\/((-18)\/4 - -5). Solve 5*s + 40 = 5*h, 3*h - 2*s + 4 = m for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3248622 by 360958.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -5*q**2 - 7*q - 2. Let p(s) be the first derivative of -s**3\/3 - s**2\/2 + 4. Let m(y) = 3*p(y) - t(y). Factor m(i).\nAnswer: 2*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 15. Solve g*s - 15 = s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*x + 2*x - 22*x)*(-4 + 4 - 18) as a*x + y and give a.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (26 - 27)\/(2\/4). Let r be (-2 + 0)\/g*-1. Let s = 0.32 - 0.02. Which is the nearest to 0? (a) r (b) s (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 - 2*a + 2. What is the remainder when d(5) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22\/25 - 7\/25. Let l(w) = -6*w + 8*w - 3*w - 5. Let y be l(-5). Which is the closest to y? (a) 4 (b) -1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-384)\/(-27) + 12\/(-54). Is 2 a factor of ((-4)\/(-1) - 5) + v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20111?\nAnswer: 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 376283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2182307751959.000000691 - 2182307750241. Let w = 1718 - x. What is w rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43973 is divided by 1099.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(180)*2)**2 + (sqrt(5) - 5*sqrt(5)*-3) + 1.\nAnswer: -1439 + 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21280 by -608.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 - 8. Suppose -2*f = -5*f - m. Is 11 a factor of (-4 - 23)*(f - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*b - 2)*(0*b**3 - 2*b**3 + b**3) + 15*b**4 + 8*b**4 + 2*b**4 + 2*b**2.\nAnswer: 27*b**4 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-31)\/(-62)*(0 - -730)?\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) - -2*sqrt(72) - sqrt(72))\/(1*sqrt(100)).\nAnswer: 6*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -154 (base 8) to base 4.\nAnswer: -1230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/2*2\/(-2). Let t = 255\/11 + -23. Let a = 225.7 + -225.7. What is the smallest value in t, a, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 0 + 1 + (-1 - 0) + -9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -561935, -1123867, -1685797, -2247725, -2809651, -3371575, -3933497?\n\"Answer: r**2 - 561935*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23363 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*(-16)\/6*13\/26. Let f(s) be the second derivative of -s**3\/6 - 3*s**2\/2 - 2*s. What is f(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((5\/2)\/5)\/((-231)\/(-252)) + 0.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 7, d: 6}. Give prob of sequence ds.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3159)*3 - (sqrt(468)*1)\/sqrt(12))\/(4*2*sqrt(3) - sqrt(36)\/(sqrt(12)*1)).\nAnswer: 26*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -15. What is the nearest to -0.1 in 2, q, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 135 = 17*n. Suppose 0 = 3*i + 2*z - 80, -n*z = -12*i + 10*i + 66. What is the highest common divisor of i and 91?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (96\/(-128))\/((-3)\/(-32))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5895170?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 0*j + 24 = -5*j, 2*z = 3*j + 4. Let q be 1\/z + (-17)\/(-4). What is the remainder when q\/6 + 388\/12 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -472, -5, 3, 4 in decreasing order.\nAnswer: 4, 3, -5, -472","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 3*d**2 + 47*d - 97. Determine r(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -6*j**2. Let m(t) = t**2. Let z(c) = -c + 8. Let u be z(5). Let p be (3\/6)\/(u\/(-54)). Calculate p*m(i) - n(i).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**4\/4 + 247*b**3\/4 = 0. What is b?\nAnswer: -247, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1600 divided by 2.\nAnswer: 800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 470828583*q**6 - q**2 - 121815316*q wrt q.\nAnswer: 56499429960*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, l: 2, u: 1, s: 2, i: 1}. What is prob of picking 1 u and 2 s?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 6*g = -104. Let s(r) = -4 - g + 6*r + 17. Let w(p) = p. Determine s(w(j)).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*(c\/(c*c**(-1)\/c))\/c)\/(c*c**(-3\/7))*c**0\/(c\/(c**(4\/7)\/c)))**(-14))**(-21) assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -19273.\nAnswer: 38546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirty-one halves of a microgram?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 19.99664 micrograms?\nAnswer: 19996.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4493 a factor of 374208491?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**3 - 5376*d**2 - 32148*d - 48168.\nAnswer: -4*(d + 3)**2*(d + 1338)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10636 + 10635.92071. Let u = a - 0.020726. Let g = u + 0.1. What is g rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -8*v + 122. Let p be n(14). Let i be p\/(-4)*(-364)\/65 - 6. Solve -4*y = 2*r - 14, i = 2*r + 5*y - 8 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 42*n - 90. Let d be g(3). What is the greatest common factor of 666 and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0168166 from 0.4.\nAnswer: 0.3831834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 3\/2, 0.3, 2\/13, -0.1 in descending order.\nAnswer: 3, 3\/2, 1, 0.3, 2\/13, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23463 is divided by 201?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w. Let g(y) = 35*y**2 + 6169 - 6169 + 43*y**2. Give g(x(l)).\nAnswer: 78*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/7227 and 1\/6570?\nAnswer: 72270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5 - 2) + (3 - 2) + 2. Let b(m) = 3*m - 28. Let j be b(g). Which is smaller: j or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -11*u**2 + 4*u - 23. Let k(g) = 7*g**2 - 3*g + 15. Let m(x) = 8*k(x) + 5*w(x). Determine m(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 17. Suppose 0 = 5*l - 2*y - k, 0 = -4*l - 2*y - 1 + 21. Solve 0 = -3*m - 5*n + l*n - 7, -m + 3 = -5*n for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 8*w**2 - 9*w + 2. Let r be g(-9). Suppose r*j + 48 = 4*j. Suppose 3*q = 5*q - j. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/10 - (928\/(-10))\/(-4). Let s = x + 36. Calculate the remainder when 23 is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = c - a + 8, 3*c - 2*a = 16. Suppose -2*k + 3*k - x + c = 0, -5*k = 2*x - 4. List the prime factors of (1 - (k - 0)) + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 10\/13, -2\/11, 3\/4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t*t**(-1))\/t))**(-3\/11)\/(t*t**2)**(-4\/37))**50 assuming t is positive.\nAnswer: t**(-4500\/407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 114*m - 6*m**4 - 53*m + 4*m**4 + (m**3 + 3*m**3 - 2*m**3)*(4*m - 3*m - 2*m) - 2*m**4 + m**2 - m**2.\nAnswer: -6*m**4 + 61*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of -1\/12*u**4 + 0*u**2 + 0 - u + 0*u**3. Let f(x) = -4*x. Determine r(f(p)).\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 16 = -4*m. What are the prime factors of 21*-11*(-1)\/m?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1158, 2790, 7256, 15972, 30354?\nAnswer: 51818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 38344839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 5*k**2 - 4*k + 4. Let s(x) = 15*x**2 - 11*x + 11. Calculate -4*s(h) + 11*y(h).\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3644760546.\nAnswer: 2, 3, 7, 1193, 24247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3453975 divided by 7525?\nAnswer: 459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 + (1 - (-2 - (19 + -5 + -3))).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3*z**2 - 22 + 7 + 6*z + 7 - 1 + 12. Let w(o) = 3*o + 3*o - 4*o + 1 + o**2. Give -4*a(g) + 11*w(g).\nAnswer: -g**2 - 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.8744 + 0.1256. What is the nearest to -0.1 in -51, -0.3, w, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 236 + 548. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -940.98 rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 5*m**2 - 6235770*m + 1944241374645 = 0.\nAnswer: 623577","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1549*g - 9 + 18 + 7 - 16.\nAnswer: -1549*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -6) + 26 - (-5 + 11)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 18*n**2 + 2. Is i(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((0 + (sqrt(5) - (sqrt(5)*-2 + -1)))*1 + 2)**2*3.\nAnswer: -648 - 216*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -4\/13*c**2 - c - 4\/39*c**3 + 0 - 1\/78*c**4. Factor j(o).\nAnswer: -2*(o + 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 22\/112117?\nAnswer: 22\/112117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30.5 - 31. Let u = -15 + 10. Let i = u + 6. Put k, 4, i in decreasing order.\nAnswer: 4, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3088597?\nAnswer: 239, 12923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138*l**2 + 255*l**2 - 117*l**2 - 369*l**3 - 102*l**3.\nAnswer: -471*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2\/5, -1\/3, 866\/287 in descending order.\nAnswer: 866\/287, 3, -1\/3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 5) + 8 + (-8 - -8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**3\/4 - 15*z**2\/2 + 18*z.\nAnswer: -3*z*(z - 2)*(z + 12)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1240 - -1201 - (-17 + -3 + 1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 155, 7, -401, -1201, -2525, -4505?\nAnswer: -7273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -11*a + 59. Let c be m(14). Suppose u + 2*b = -5 - 9, -u = -2*b + 18. Is u\/6 + 2 - c\/3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 17. Let p be (5 + -11)*55\/2*-1. What is the highest common factor of w and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198421436 is divided by 4839547.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -47.0449617 rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 125 and 3183?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 7) to base 13\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -742.95 - -784. Let y = -1066 - -1025. Let z = l + y. Sort z, 4, -4 in increasing order.\nAnswer: -4, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -12936735.477 and -0.4?\nAnswer: 12936735.077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -113 * -9.82434\nAnswer: 1110.15042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.3 + -2.24. Let z = 3.06 - v. Let y be (-4)\/(-6) - 14\/3. Sort y, z, 4.\nAnswer: y, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*((r*r**2)\/r)\/r)**(-10\/17)\/(r\/(r**(-2\/5)*r*r))**(-35) assuming r is positive.\nAnswer: r**(-377\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1.597357 nanograms?\nAnswer: 0.000000001597357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 11:11 AM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 4114*w - 181023. Give l(44).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 79 or 3352\/43?\nAnswer: 3352\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*j + 2 = 2*s - 55*j, -3*s + 36 = 9*j for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16146, 32137, 48106, 64053, 79978, 95881?\nAnswer: 111762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ozlogloguzlulloozo. What is prob of sequence lzoz?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 9*u = 10*u + 89, -2*s + 5*u - 31 = 0. Let c(l) = -6*l - 306. Let z be c(s). Is -139 <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of -7*r**5\/30 - r**4\/6 + r**3\/2 + 34*r**2. Let j be c(1). Find the common denominator of ((-111)\/3)\/(3\/(j\/(-100))) and 5\/28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*(0 - 257\/(-400) - (-44)\/(-550))\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1787*v - 1325*v - 14503 - 12293 = 0 for v.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1636 + 2535. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 123*r - 5. Let i(t) = -245*t + 10. Let b(s) = 2*i(s) + 5*u(s). Let w be b(-6). Let j = w + 8955. Round j to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 2*v**2 + 18778*v + 18776 = 0.\nAnswer: -9388, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2207417 and 49972.\nAnswer: 961","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do -188449 and 0.05 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**3 + i**2 + 4*i. Let o be 48\/4*4\/(-12). Let n(j) = -j**3 + j**2 + 3*j. Give o*n(f) + 3*x(f).\nAnswer: -2*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 14, -3, 16 in decreasing order.\nAnswer: 16, 14, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 126 and 2912?\nAnswer: 26208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**3 - 199*f**2 + 199*f**2 + 6 as x*f**2 + n + s*f + l*f**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 134, 3, 5, -5 in descending order.\nAnswer: 134, 5, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + -1 - (sqrt(27) + ((sqrt(675) - (-1 + sqrt(675))) + sqrt(675))**2)) + -5.\nAnswer: -682 - 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 3 + 2. Let k = x - 2. Let a = k - -3. What is the greatest common divisor of 1 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-142)\/(-10) - 14 - 3\/(-10)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -40, -2, 2 in increasing order.\nAnswer: -40, -5, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -12334*i. Let d(v) = v. What is j(d(q))?\nAnswer: -12334*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 43*x - 4718. Calculate l(123).\nAnswer: 571","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -385 divided by 385\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-10)\/(-25))\/((-1)\/(-20)). Suppose -2*d + f - 2 = 0. What is the second derivative of 0 + g**d + 4*g + 0 + 2*g**3 wrt g?\nAnswer: 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 18097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 2*r + 17 = 3*h, -r = 2*h - 23. Let w(a) = 3*a**3 - 2. Let x(u) = u**3 - 1. Calculate h*x(l) - 4*w(l).\nAnswer: -3*l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 18\/(-6) + 4 + 6 + 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6 * 2.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -c395 (base 15) to base 14\nAnswer: -110b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 11:24 AM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3254281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - (2 + (-6 - (-4 - -2)))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 3*h. Let j(g) = 6*g + g**2 + 1 + h + 8 + 0*g. What is the units digit of j(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 320.8455 and 116.\nAnswer: 37218.078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**5 - 6413*s**4\/4 - 2261755*s**3\/4 + 127419489*s**2\/2 + 80377191*s + 16103610 = 0.\nAnswer: -846, -1, -1\/4, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -275.4 + 275. Which is the third biggest value? (a) -1 (b) -4 (c) -141 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 27, 53, 81, 117, 167, 237, 333?\n\"Answer: t**3 - 5*t**2 + 34*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w - 12. Let a(n) = -n - 11. Let m(d) = -7*a(d) + 6*x(d). Let o be m(-5). Let b(u) = -6*u + 21. Let r be b(4). Which is smaller: o or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1382?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(-105) + 1 + 23\/(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3327.735 - 3914632.\nAnswer: -3911304.265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 2:34 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7 (b) 2 (c) 1\/4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j - 1. Let h be q(-3). Suppose 5*n + 4*z = -53, h*n = 2*z + 5 - 37. Let m = 33 + n. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1408630953 to the power of 1\/2, to the nearest integer?\nAnswer: 37532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do -92775 and -92777 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7673127*r*v**4 - 5612*r*v**2 - 8*r*v - 3*r - 1 wrt v?\nAnswer: 184155048*r*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from beqyr. Give prob of sequence req.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-83*c - 6*c - 34*c)*(2*c**3 + c - c) + (7 - 5*c**2 - 7)*(-c + 1 - 1)*(2*c + 0*c - 3*c).\nAnswer: -251*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.02 + -0.43. Let z = l - -0.45000049. Round z to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -3*p**3 - 27*p**2 - 19*p - 264. Calculate b(-9).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1003.\nAnswer: 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1105518 + 2267418. What is z rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide (-2 - -11)\/((-988)\/(-488) - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + 4*x**2 - x - 3. Let l be m(3). Suppose -l*c + 5*c = 68. Let u = 26 + c. What are the prime factors of u?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15671 is divided by 5208.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 1:08 AM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tpttpttptpajptpt. Give prob of sequence tt.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 926281 to the power of 1\/2, to the nearest integer?\nAnswer: 962","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 55 - 51. Let b = 619 - 100279\/162. Which is greater: p or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 252 + -249. Let q(a) = 20 - 13 - a**3 - 48*a**2 - p*a + 54*a**2. Determine q(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 8 = 18*d + 116, 18*v - 23*v = 0 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 4*g**2 + 9*g. Let i be l(-6). Suppose -15932 = -10*j - i*j. Calculate the remainder when j is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -6. Let a = -26 + 25.8. Let l = 13\/6 + -5\/3. What is the third biggest value in l, a, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 5*b - 21 = 7, 0 = -i - 3*b. Let g be (-9)\/(135\/(-40))*i\/16. Factor -1\/2*a**4 - 3*a**2 - 2*a**3 - 1\/2 - g*a.\nAnswer: -(a + 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25153, 21866, 18577, 15286?\nAnswer: 11993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 250049787?\nAnswer: 3, 13, 17, 131, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1220012222021 (base 3) to base 2.\nAnswer: 11110110001000111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27 and 5949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4114*g**4 - 4220*g?\nAnswer: -49368*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161461 = 2114*i - 2085*i - 16222. What are the prime factors of i?\nAnswer: 11, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -184319, -736825, -1657639, -2946737, -4604095, -6629689, -9023495?\n\"Answer: 4*t**3 - 184178*t**2 - 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (-3 - (1 + 8) - -18).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78 - 951*x**3 + 78 + 955*x**3.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 500 is divided by (-6)\/3*852\/(-8).\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and 0.022.\nAnswer: -0.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 271 a factor of 837349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 0.4, 1\/7, -0.1 in ascending order.\nAnswer: -16, -0.1, 1\/7, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36.9 - -37. Which is bigger: g or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*u + 13*u - 21*u - 8)*(0*u - 3*u + 5*u + 0*u + 3*u - 2*u - 1 + 1 - u + 5*u - u - 2*u + (6 - 3 - 1)*(4*u + 3*u - 5*u)).\nAnswer: 16*u**2 - 64*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/45 and -24\/11566925.\nAnswer: 104102325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 96\/52*-1 - 4845\/23465?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 2 (b) -0.5 (c) 1 (d) 3\/98\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29796 and 21137779?\nAnswer: 2483","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fnffnnnnfnn. What is prob of picking 1 f and 2 n?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(180)*1)\/((sqrt(99) + sqrt(99) + (sqrt(99) - -1*sqrt(99) - sqrt(99)) + sqrt(99))\/sqrt(11))*6.\nAnswer: -12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - i - 3 - 1, 12 = -4*h - 3*i. Suppose 16*q + 6*q - 1342 = h. Is 5 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 4*z**2 + 110*z + 70. Let m be t(-27). Calculate the highest common factor of m and 25.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 40*r - 426. Give y(16).\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ghghhygwwhg. What is prob of sequence ygh?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(7) + 0 - (2 + sqrt(28)\/sqrt(4)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-7))\/(959440\/(-12194) - 48\/104)?\nAnswer: -2\/277","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5640772 to the nearest integer?\nAnswer: 2375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1116 or -1229?\nAnswer: -1116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81906, -81746, -81570, -81378, -81170, -80946, -80706?\nAnswer: -80450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 93 + -89. Suppose a - i*t + 475 = 6*a, -3*t = 3*a - 285. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 99\/15 + 3\/(-5). Suppose 0 = 3*w + 3 + f. Let t(z) = -59*z + 4. Is t(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 - -31. Let d be (-37)\/p - (3 + 0). Is 39 a factor of ((-462)\/(-56))\/((-3)\/d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 579 is divided by 53.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122508 is divided by 549.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -541814641 minus -0.371?\nAnswer: -541814640.629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wbybbnwbfqybw. Give prob of picking 1 b and 2 y.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/10*(-8)\/6. Let x be 3*1\/165 - 1. Let t = l - x. Which is the smallest value? (a) 4 (b) t (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/7)\/((-34)\/51)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.119 in -4\/3, -535656, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 9:48 AM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5304971 is divided by 1354.\nAnswer: 1353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y + 2*y**4 + 2*y - 2*y**4 - 5*y**2 + 5*y**2 + 3*y**4 - 6*y + 6*y + (3*y**3 - 3*y**3 - y**3)*(-3*y + 7*y - 7*y).\nAnswer: 6*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*g - 63 + 63 to the form s + u*g and give u.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 440959?\nAnswer: 440959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -59 + 64. Suppose -4*p - 5*r + r = 4, -u*r = 0. Suppose -3*a + 15 = 6. Sort 1, a, p in ascending order.\nAnswer: p, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 892 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/4 and 119\/354.\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-1\/3)*b*b*b)**14*(b\/(b**(-1\/4)\/b)*b)**11*(b**8\/(b*b**(-3\/5)*b))**(7\/10) assuming b is positive.\nAnswer: b**(30311\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1721214 to the power of 1\/3, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1196*j - 951*j + 405*j - 209*j)*(1 + 3*j - 1) to p*j**2 + l + d*j and give p.\nAnswer: -5853","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -43717 - -43717.2. Sort 3, 1\/6, 127, o in ascending order.\nAnswer: 1\/6, o, 3, 127","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -470.32? (a) -9 (b) -6 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1630099 and 587?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.6241634 take away -0.076?\nAnswer: -5.5481634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -78056900 rounded to the nearest one million?\nAnswer: -78000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 5:00 AM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -2 + -1 - -4 - (-2 - -20)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/4 and -37\/534?\nAnswer: 1068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 20732254 to the power of 1\/3, to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 2)*(k**5 + 289*k - 2 - 289*k) - 15*k**4 + 2697*k**3 - 2697*k**3 - 3*k**5.\nAnswer: -2*k**5 - 15*k**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4\/3 (b) -0.711 (c) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -12583, -12626, -12669, -12712, -12755, -12798?\n\"Answer: -43*i - 12540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (6 - 0) + 58 + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 184*c - 4732. Let z be a(28). What is the greatest common divisor of 2460 and z?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32123120 (base 6) to base 11.\nAnswer: -59541a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + z - 2*j + 4 = 0, -5*j = -z + 24. Suppose -3*r - z - 8 = 0. Suppose 0 = l - 5. Put l, r, 4 in descending order.\nAnswer: l, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1324 divide 76973388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - (-14)\/12) + -2. Let o = 384 + -383. Which is the closest to o? (a) 6\/5 (b) 0.05 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**3 - 16\/5*r**2 - 2\/5*r**4 + 8\/5*r + 0 = 0. Calculate r.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4723 times -930?\nAnswer: -4392390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - 2) + 1 + 6. Suppose 3*z + 2*v - 50 = 0, -a*v = -3*z - 2*v + 65. Solve -z = -7*q + 3*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -6. Suppose -i*u = -4 - 156. Suppose u = z + z. What is the remainder when z is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1486943 smaller than -1486943?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 629510 and 4469521.\nAnswer: 44695210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 50 or 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 59*b*i**6 + b*i**4 - 125*b*i**2 - 2*b + i**5 - 3*i**2 wrt i?\nAnswer: 7080*b*i**3 + 24*b*i + 60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118588253.\nAnswer: 7, 19, 23, 38767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 0.14009\nAnswer: -0.028018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -3*i, 71*i - 7 = -f + 75*i for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - z = 0, 0*x = 3*x + 5*z - 13 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -681*a**2 + 0*a + 680*a**2 - 15 + 8*a. What is j(7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5795967 by -9.\nAnswer: 1931989\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 12, h: 4, m: 2, o: 2}. Give prob of sequence hj.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + b - 63. Let q = -14 - b. Suppose 0 = 2*c - q*c + 10. Calculate the least common multiple of 12 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 209 and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23931, -23935, -23939, -23943, -23947?\nAnswer: -23951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 507\/12 + 1\/(-4). Suppose a - 9 = -i, 2*i - 6*i + k = 5*a. Suppose 7*h - 15 = a*h. Does 15 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*g + 206 = 206. Solve -2*a + g*a + 3*x = 0, -a = -4*x for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((155\/(-3658))\/((-45)\/(-18))).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -223 + 603. Calculate the greatest common factor of 60 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 AM and 1:10 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0969583 to four dps.\nAnswer: 0.097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 3 + 9*l**2 + 8 - 1)*(5*l - 10*l + 45*l) to o + s*l**2 + b*l + u*l**3 and give u.\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -6*r + 8*r. Suppose 5 = -w + r*m, 0 = -4*m + 8*m. Let d(z) = z**2 + 6*z + 8. What is the remainder when 3 is divided by d(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 8.59. Let v = -0.72 + h. Let a = v + 1.69. What is a rounded to two dps?\nAnswer: 0.56","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) 1 (c) 5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 113 - 50. Calculate the remainder when l is divided by (-1 + -4)*(-1600)\/500.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 + 9*g + 5. Let z be t(9). Let m be (-20 - -18)*((-10)\/(-12))\/z. Which is the second biggest value? (a) -18\/7 (b) m (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/7 - 4*o**2\/7.\nAnswer: -2*o**2*(o + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24194 is divided by 473?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2622*m**3 + 427*m**3 - 741*m**3.\nAnswer: -2936*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8802 and 0.8.\nAnswer: 7041.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 12322100?\nAnswer: -12322100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11737 - -9547?\nAnswer: 20183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1554 and 2442.\nAnswer: 17094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(3\/3)*-1. Let g = 8 - r. Suppose g = 3*l - 18. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-7\/6)\/(n*n\/((n*n*n\/((n**(-2)*n)\/n)*n)\/n)*n)*(n**(8\/9)*n)\/n**15 assuming n is positive.\nAnswer: n**(-221\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1520 (base 8) to base 16\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.122 take away -13497?\nAnswer: 13496.878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97428989?\nAnswer: 7, 17, 23, 35597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5980*j = -5969*j - 352 for j.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16\/(-3)*9\/2. Let v = -21 - r. Suppose v*a = w - 14, 7 = 2*w + 3*a - 3. Calculate the remainder when w is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 83052 divided by -9\nAnswer: -9228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5394872, -21579514, -48553918, -86318084, -134872012, -194215702?\n\"Answer: -5394881*o**2 + o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 - l**2 + 2*l**2)*(1 - 1 + 2)*(48 - 16 - 450).\nAnswer: -836*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 27\/18 + (-8250)\/5380. Is -1 greater than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5429*g**3 - 2717*g**3 + 33*g**2 - 2713*g**3.\nAnswer: -g**3 + 33*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 25*q**2 + 24*q - 2. Calculate m(-24).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of -7*c**5\/20 - 2*c**2 - 7*c. What is the derivative of d(o) wrt o?\nAnswer: -21*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1220556.6999908 - 1220561. Let f = u - -4.3. What is f rounded to 6 dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 11:02 PM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a5567846 - 2?\nAnswer: -a5567848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -5*z**2 + 5*z - 46. Let g(b) = 8*b**2 - 7*b + 69. Let i(j) = -5*g(j) - 7*n(j). What is the first derivative of i(d) wrt d?\nAnswer: -10*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, s: 1, v: 1, k: 2, z: 3, u: 9}. Give prob of sequence kk.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 + 8*l + 6. Let d be j(9). Let k = d + 3. Suppose 0 = 2*f - k*f - 52. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**35\/(t**(-22)\/t) assuming t is positive.\nAnswer: t**58","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 29624 - 5093389?\nAnswer: -5063765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -41 + 155d01?\nAnswer: 155cc0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5222*z + 382 wrt z?\nAnswer: 5222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 488420.8 days?\nAnswer: 42199557120000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2154 - -2154. Let p(y) be the first derivative of t*y**5 + 4\/3*y**6 + 0*y**3 - 13\/2*y**2 - 3 + 0*y**4 + 0*y. Find the second derivative of p(g) wrt g.\nAnswer: 160*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0516 - 1.9484. What is the second smallest value in k, -3, -1.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11197*h - 4316 = 11145*h for h.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 6*y + 3*x, -15*x + 12*x = -4*y + 16 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 171 divide 14936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3379058?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -u**3 - 6*u**2 + 4 + 6*u**2 - 2. Let h(t) = 9*t. Calculate n(h(k)).\nAnswer: -243*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 78948*g + 559. Let o(l) = -564*l - 4. Give 559*o(r) + 4*w(r).\nAnswer: 516*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 4*o - 1. Let i(g) = -g**3 - 5*g**2 + 3. Let p be i(-5). Is y(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.011132 to 4 dps.\nAnswer: -0.0111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 11 = -3. Let q(d) = 1. Let b(i) = i - 10. Let f(z) = b(z) + 6*q(z). Give f(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - 20*i**2 + 23*i - 43. Suppose 0 = 11*j - 6 - 203. Let o be b(j). Solve -o = -r + 6*r + 4*q, 2*q = -4 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/(-5))\/(16\/(-10)). Let j = 33 - 33.4. Which is the second biggest value? (a) 4 (b) d (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/16 of a kilometer in centimeters?\nAnswer: 43750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 11, h: 6, t: 2}. Give prob of sequence qhqq.\nAnswer: 165\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0444 + 3.5544. Let z = v + -0.31. What is z rounded to zero decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.01981 micrometers in meters?\nAnswer: 0.00006801981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139*h - 976185 = 4*h. Is 12 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 4*j + 133 - 45 = 0, 0 = 2*d + j - 56. Let h = 17 - 13. What is the smallest common multiple of d and h?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 35\/2 - (-1)\/(-2). Let s be 6\/(3*(-4)\/(-8)). Let c(n) = 2*n**2 + 7*n + 13. Let i be c(-2). Solve 0 = 5*z + 4*k - b - s, 3*z = -k + i for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 381*l**2 - 766*l**2 - 8 + 383*l**2 to the form c*l + i*l**2 + n and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 5*y**2 - 13*y + 48. Let t(l) = -7*l**2 + 16*l - 48. Calculate -6*s(u) - 5*t(u).\nAnswer: 5*u**2 - 2*u - 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**3 + 398*n**2 - 13*n - 2606. What is q(-199)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 15 = -4*v - 7, 4*v = 12 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/29)\/n*n*n**(-2\/11))**(6\/13) assuming n is positive.\nAnswer: n**(-480\/4147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -122 + -100?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -45\/4, 1.2, -12?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.107 + -0.1070043. Round k to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 2) to base 7\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 9:24 PM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 12 = -2*j + 68, -j + 2*c = -26. Calculate the lowest common multiple of 468 and j.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12365972.2777213 + -49384985.7222539. Let s = 61750932 + a. Let b = 26 + s. Round b to 6 dps.\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1483 is divided by 53?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -26076*z - 78271. Determine w(-3).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.263 * -688.\nAnswer: -180.944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) - (1*sqrt(66)*1 + sqrt(66)) - sqrt(66)) + sqrt(66)*2*-5)\/((sqrt(90)\/sqrt(3))\/sqrt(5) + sqrt(66)\/(sqrt(11)*-2)).\nAnswer: -24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 2, 15\/7, -2?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l + 0 - 6 - 1. Let n be m(5). Let o(i) = i + 8 - 6 - 3. Give o(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -139782469 + 98912469. What is i rounded to the nearest one million?\nAnswer: -41000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/572 and 29\/338624.\nAnswer: 338624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 395 + -395.1. Which is the closest to 0.03? (a) 0.3 (b) 13 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + -7 + 120\/8.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*v - 15925 + 33040 = 16126 for v.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = 25020*k - 25010*k + 38, g + k + 2 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.34 in -3, -0.169, 0, 0.5?\nAnswer: -0.169","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) + (sqrt(110) + (sqrt(110) - -2*sqrt(110)) + sqrt(110))*-6)\/((sqrt(160) - sqrt(10) - sqrt(10))*-4).\nAnswer: 29*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (166*b**2 + 564*b - 564*b)*(15 + 31 + 52)*(b - 4*b + 5*b).\nAnswer: 32536*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + n + 27 = 0, 46*n = 3*v + 51*n + 25 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(110) + 1*(sqrt(110)*-2 + sqrt(110) + sqrt(110)))\/sqrt(10) + (sqrt(11) - -4*sqrt(22)\/sqrt(2)) + -2)**2.\nAnswer: -144*sqrt(11) + 2400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c**2*s**3 + c**2*s**2 + 981*c*s**3 + 704*c*s**2 + 3*c - 2*s**3 wrt s?\nAnswer: -6*c**2 + 5886*c - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -66*l - 1. Let r(c) = 4*c. What is -2*h(s) - 18*r(s)?\nAnswer: 60*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -54978*t**5 - t**4 + 3110*t**3 - 357133418*t**2 wrt t?\nAnswer: -3298680*t**2 - 24*t + 18660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -220*u**3 + 17*u**2 + 4.\nAnswer: -1320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 4 (b) 0.5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3723 and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -376 + -2?\nAnswer: -400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*v - 26*v + 7*v + (-1 - 2 + 1)*(0*v + 3*v - 5*v)*(-9 - 4 + 0))*(-v**4 + v**4 - v**4).\nAnswer: 101*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 14301372 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 698*o - 1135 = 472*o + 1577 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 0*v = 3*i + 9, v + 5 = -4*i. Suppose 4*z + 42 = 2*k, -20 = -3*k - z + 15. What is the remainder when i\/2*2 - -64 is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7\/3 + -5\/6. Let d = 0.05 - 0.25. Let q = 0.07 + 0.13. Which is the nearest to -2? (a) l (b) d (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/225 less than -528?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 835150996 to the nearest integer?\nAnswer: 942","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17004*i**3 + 605178*i**3 + 1982164*i**3.\nAnswer: 2570338*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 69 and 483.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 107 = -190. Let p(n) = -n**3 - 5*n**2 + 4*n - 1. Let y be p(-6). Calculate the greatest common divisor of f and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1152032 divided by 32\nAnswer: -36001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(60\/5)*(-14)\/(28\/(-18)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 5713, 0, -39 in decreasing order.\nAnswer: 5713, 5, 0, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125313 is divided by 1451.\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(3)*-2*5 + sqrt(3) - ((0 + sqrt(243) - sqrt(3)) + sqrt(3))) + 0).\nAnswer: -90*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1106)\/(-79) - (-3 - 4)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 5 - 0, 0 = -a - m - 1. Let x = 5 + a. Solve -x*z + 4 - 1 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -14*z - 74. Let d be c(-5). Let h = 104 + -231. Is 0\/(12\/d) - h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + -4 - 21)*(-20280)\/4225.\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 6. Suppose -t*x - 18 = x. What is the units digit of 20\/(-6)*x\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12373088 is divided by 15219?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f + 1. Suppose -2*n - 3*i = -10, -545*n - 17 = -544*n - 4*i. Let c(b) = -3*b**2 - 3*b + 2. Determine n*c(l) - 2*s(l).\nAnswer: 3*l**2 + l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7838948?\nAnswer: 2, 13, 127, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -337855, -243?\nAnswer: -243","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -71*g - 783. Give n(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/((b\/(b**(-10)\/b*b))\/b)*b**(-4\/11)*b*b**(-11\/2)\/(b*b\/b**11*b) assuming b is positive.\nAnswer: b**(-129\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18973, -18973, -18975, -18979, -18985, -18993, -19003?\nAnswer: -19015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -167690 - -86230. What is n rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*d**2 + 0*d**3 + 0 + 1\/4*d**5 - 1\/2*d**4 - 1\/4*d.\nAnswer: d*(d - 1)**3*(d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274892.1 plus -3?\nAnswer: 274889.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1777*h + 7248 - 19600 = 42735 for h.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2, 10, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 10\/3 of a century?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 3*k + 63 = 0, -2*v + 18 = 5*k - 3. Solve -26 = -v*u - 8*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 11 (b) -0.9 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -121589, -486383, -1094367, -1945535, -3039881, -4377399, -5958083?\nAnswer: -7781927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 PM and 6:45 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1.04, 2\/17, -3\/305, -0.3, 4\/3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1753*v**2 - 1382*v**2 - 178*v**2.\nAnswer: -3313*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (312\/(-72)*5)\/(30\/(-36)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5427 or -260?\nAnswer: 5427","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eu when two letters picked without replacement from {u: 3, e: 2, o: 7}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1103174 to the nearest integer?\nAnswer: 1050","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3325*d**2 + 2093*d + 2. Let o(v) = 3326*v**2 - 2117*v - 3. Let c(p) = -2*o(p) - 3*x(p). What is the second derivative of c(j) wrt j?\nAnswer: 6646","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3060 times -5?\nAnswer: 15300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 68993000 rounded to the nearest one hundred thousand?\nAnswer: 69000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -11*t**2 - t. Let q(l) = -128 + 255 + 2*l - 127. Calculate s(q(y)).\nAnswer: -44*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 3*i + 3*t - 466, -4*i + 5*t = -358. Let v(b) = -b**2 - 12*b - 18. Let a be v(-10). Suppose -5*n + p + i = 0, -3*p = -a*n - n + 48. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -41, -10, 5 in increasing order.\nAnswer: -41, -11, -10, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mpelplrt. Give prob of sequence tep.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -72.47 - -72.618. What is the third biggest value in 2, l, 4, -5, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 4*q**2 + 2*q**2 - 3*q - 6 - 2*q**2 - 3*q**2. Calculate the least common multiple of 2 and x(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (11 + (-2 - -3))) + -2 + -4.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 20*q + 3. What is i(1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 288*c + 7*c = 59*c - 115*c + 46332 for c.\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v - 9. Let p be o(6). Let u(c) = -2*c**3 + 3*c**p - 4*c - 2*c**3 + 1 - 4*c**2 - 3. What is u(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -31*l - 16. Calculate q(1).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 440863.143 rounded to the nearest 100?\nAnswer: 440900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-6)*b**(-8\/7)\/b)**(-2\/47))**(-1\/13) assuming b is positive.\nAnswer: b**(-114\/4277)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -5307876 equal to -10615749\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of -b**6\/180 - 98*b**3\/3 - 61. Let h(k) be the third derivative of s(k). Let q(j) = 3*j. Calculate h(q(w)).\nAnswer: -18*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 7*q**2 + 2*q - 3. Give t(-7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2249 = s + 31*f - 33*f, -2241 = -s + 6*f. What are the prime factors of s?\nAnswer: 3, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + 8 - (18 - 12)) + -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (0 + 25 + (22 - 18) + -7)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**2. Let h(l) be the second derivative of -l**4\/12 - l**3\/2 - 36*l. Calculate a(h(d)).\nAnswer: 2*d**4 + 12*d**3 + 18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 - -178\/9. What is the closest to -2\/11 in -42, -1, 0.5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(176) + 1 + -4 - 2*(sqrt(176) + (sqrt(176) - (sqrt(176) - sqrt(176)*-2))).\nAnswer: -3 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2797\/3 + 948. Let x(m) = 2*m**2 - 5*m + 1. Let f be x(4). Let s = 28 + f. What is the common denominator of s and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 947033 is divided by 473504?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 59 + (2 - 51) + -9.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61469, 122909, 184321, 245705, 307061, 368389?\nAnswer: 429689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s + 43. Suppose -23*a + 1 = -298. Calculate the least common multiple of 5 and n(a).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 13*n**2 - 13*n + 20. Let a be v(12). Suppose 2*p - 4 = -3*i + a, -2*i + p = -8. Suppose -13*m + 4318 = i*m. List the prime factors of m.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/743328 and 49\/3382.\nAnswer: 14123232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of -1\/3*a**4 + 0 + 0*a**3 - 6*a + 0*a**2. Let z(g) be the first derivative of -g**2\/2 - 2. What is y(z(l))?\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2*o + 5*s - 4 = 0, 3*o - 26 = -4*s. What is the third derivative of 0*a**6 - 3*a**6 - a**2 + 5*a**o wrt a?\nAnswer: 240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 8*w - 10. Let s(p) = 0*p + 2*p - 3*p + 1. Suppose -335 = 12*i - 119. What is i*s(b) - 2*a(b)?\nAnswer: 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of a**3\/3 - 4*a**2 - 2. Let l be v(8). Suppose l = -5*y - 105553 + 553. Round y to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 891 is divided by 180?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 2*i - n + 12, 5*i + 6 = 4*n. Solve 9 = -i*r - 1 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/7 (b) -2 (c) 55.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4 and -798504?\nAnswer: 798504.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1832237\/56 - 32717. Let h = l + -1\/56. Let v = 0.215 + 0.285. What is the smallest value in -0.03, h, v?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 4*l - 20. Let m be y(6). Suppose -m*s - 57 = 3*c, -3*c = -8*s + 3*s - 78. Let r(p) = -p**2 - 17*p + 15. List the prime factors of r(s).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 c, and 1 l when three letters picked without replacement from {g: 6, k: 6, l: 1, c: 5}.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 380*v**2 + 2291*v - 196. What is l(-6)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 4 = 0, 2 = -d + 5*d + 3*c for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1777 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/4 - (495\/10 + -3). Calculate the remainder when (-1 - p) + (10 - 4)\/(-2) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 239*q**2 + 5164*q + 863. Let b be c(-215). Let m = 2.2 + -3.9. Let t = -0.3 + m. What is the third biggest value in -0.4, b, t, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37 + -84. Let i = z - -80. Suppose -i = -2*s - s. What is the highest common divisor of 33 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -473*o = -471*o - 4*c - 2, 3*o - 1 = 5*c for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2790494939?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/2)\/((-74)\/(-148)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 - 2)*(-1 - 3 + 3)*(2 + 11 - 1)*(m - 6*m - 21*m)*(2*m**2 - 5*m**2 + m**2) to the form d*m**2 + k*m**3 + c*m + i and give k.\nAnswer: 624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of 3313*c**4\/24 + 1403*c**3\/6 - 583*c**2. Differentiate y(m) wrt m.\nAnswer: 3313","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000249335644 rounded to seven decimal places?\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z**2. Let o(a) = a + 974893. Determine o(y(b)).\nAnswer: -2*b**2 + 974893","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*p = 16*p - 1584. Calculate the smallest common multiple of 48 and p.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103028911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - 40*t**2 - 40*t + 1525. Determine k(-36).\nAnswer: -2219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -5 - 0. Let c be (-5 - -2 - 1)\/((-57)\/114) + -4. Solve y*q - i + 22 = 0, c*i - i + 34 = -5*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 170 - 167. Suppose 0*s + 12 = i*s, 0 = -4*h + s + 28. Let r(n) = -n**3 + 9*n**2 - 7*n - 13. Give r(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*g - 48 = -y + 55*g, g - 23 = -3*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 778, 0, 1, -1 in descending order.\nAnswer: 778, 3, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ete when three letters picked without replacement from tteeete.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 7*b - 44 = 10*b, 4*b = 5*d - 47. Suppose -l = -3*z + 4*l - 7, z = -3*l - d. What is the tens digit of 70*(z + (-11)\/(-2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19277, -38685, -58177, -77747, -97389, -117097?\nAnswer: -136865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59.71876g to kilograms.\nAnswer: 0.05971876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -185*u + 34. What are the prime factors of g(-2)?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2880.498 - 4768\nAnswer: -7648.498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 127 and 579247?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6241 + 6371. What is the greatest common divisor of a and 1060?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 4*u + 6 = 0, 2*g - 14 = g - 3*u. Solve 2*p - 6 = 4*f, 0 = -g*p + p + 4*f + 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -338*s + 9860 + 1613 = -4075 for s.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28957 is divided by 3470?\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(3\/4))\/h*h*h*h*h\/((h*h\/(((h**1*h)\/h)\/h*h*h))\/h)*h)\/(h**(4\/7)\/(h\/((h\/(h*h**(-3\/4)))\/h))) assuming h is positive.\nAnswer: h**(83\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -14736106 greater than or equal to -14736107?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4 = -3*n, -10*z + 6*z = n - 23. Suppose -110 = z*k - 27*k. Solve 0 = p - k*p + 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1399198\/25 less than -55969?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 1)*(2 - 2*c**2 + c**2 - 7*c**2).\nAnswer: 16*c**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-68)\/76 - 6\/3 - -3. Sort y, 3, 267 in decreasing order.\nAnswer: 267, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(700)*1.\nAnswer: 1 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2012 + -1211?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q**3 - 2*q**2 - 2*q + 2. Let x be c(4). Let k = 14 + -12. Suppose s = -k*s + x. Calculate the highest common factor of 12 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = k + k, 0 = -r - 2*k + 13. Suppose -r = -m - 3*l + l, -5*m + 11 = -2*l. What is the remainder when 8 is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1196 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178310 is divided by 89131?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l = -16*l. Suppose 2*s - 2*z - 686 = l, 0 = z + 1 - 4. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1312 + -1092. Calculate the highest common divisor of 495 and u.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kggkpcpgcgk. Give prob of sequence kp.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -250*k**5 + 8*k**3 - 131*k - 4 wrt k.\nAnswer: -5000*k**3 + 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - i = 5*m - 417, 4*m - i = 415. Suppose m = 3*h + 2*c - 98, -2*c + 138 = 2*h. What is the tens digit of h - 0 - (-12 + 15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143 is divided by 56?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*h**3 + 53*h**3 + 44*h**3.\nAnswer: 78*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 6, i: 2}. Give prob of picking 1 i and 1 v.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - -14. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/30 and -3*((-5300)\/(-1665))\/(-20).\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.32 times 0.22?\nAnswer: -0.0704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45*g - 5*g + 11 - 7 + 0 to the form r + a*g and give a.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 28.1 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1729878521 to the nearest integer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -844a0 - 7?\nAnswer: -844a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2 - 690*b + 44000.\nAnswer: -2*(b - 55)*(b + 400)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01356 to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -21 + -3429?\nAnswer: -344a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000376538 to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, g: 7}. What is prob of picking 2 g and 2 o?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 6:05 PM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -3 - (-1 - (-8 + 2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and (-42*312\/432)\/(1\/(-45)).\nAnswer: 15015","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -4*y + 4. Let n be u(2). Let x = -37 - -39. Let w(i) = -5*i**2 + 4*i + 7 + 2*i**x - 1 + 2*i - i**3. What is w(n)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-35))\/(37\/((-4403)\/(-374)))*(-810)\/(-9)?\nAnswer: -90\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -706, 530, 2\/21, -0.5 in decreasing order.\nAnswer: 530, 2\/21, -0.5, -706","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 108, -4, 1000 in decreasing order.\nAnswer: 1000, 108, 18, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 618*n = 5*v + 622*n - 22, 13 = -v + 5*n for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-27)\/(-36) - 15\/(-12). Let w = 13 + -9. Suppose w*x = -h*x + 42. Calculate the remainder when 10 is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 563\/1476 - -88\/41. Calculate the common denominator of -73\/564 and o.\nAnswer: 1692","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5589?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -64621089 - -95906351. Let i = -31285444.99817 + s. Let l = -183 - i. What is l rounded to four dps?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**5 + 33*v**4 + 129*v**3 + 219*v**2 + 168*v + 48.\nAnswer: 3*(v + 1)**3*(v + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -5) + (4 - 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 53\/4 of a litre?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2049 is divided by 19 - 78*(-2)\/12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/6, -60, 0.4, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -783.0494 + -17.3636. Let p = 268.676 + i. Let l = -532 - p. What is l rounded to 2 dps?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 5:36 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/4)\/(h**20*h))\/(h**23\/h**(3\/10)) assuming h is positive.\nAnswer: h**(-869\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11610251 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnzusfufe. What is prob of picking 2 u?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (8 - 2)) + (3 - (23 + -39))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -93, -184, -275, -366, -457?\n\"Answer: -91*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 5640522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/(-3*2\/102)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2211202 (base 3) in base 7?\nAnswer: -6020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-2) + (-7)\/2. Let c(z) be the third derivative of -z**5\/20 - z**4\/12 + z**3\/3 + z**2 - 51. What is c(g)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h. Let a(i) = -7*i. Let d(l) = -3*l. Let j(f) = -6*a(f) + 13*d(f). Determine j(p(w)).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 84 = -8*w. Let u = 40 - w. Suppose -39 - u = -5*i - 3*l, -i = -2*l - 22. Solve 0 = 4*p + m - 4*m - 17, p - 4*m = i for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 4*x + 7, 0*x - 6 = 4*h + 2*x. Let l = -16 + 14.1. Is h bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3411.7 in -1, -3\/7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 + (-7)\/(49\/42) + 7*926 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 338 divided by -113047.\nAnswer: -338\/113047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -3*x + 3. Let u(v) = 7*v - 26. Let m(k) = 5*k - 17. Let z(t) = -8*m(t) + 5*u(t). Give 7*j(h) - 4*z(h).\nAnswer: -h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1192 - 1139. What is the remainder when 225 is divided by l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00017314866871 rounded to seven decimal places?\nAnswer: 0.0001731","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 779 is divided by 153?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*l**2 + 123*l - 121*l + 11*l - 2*l**2 as t*l + r*l**2 + c and give r.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, w: 2, k: 1, a: 8, m: 7}. Give prob of picking 1 k and 1 a.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2115\/(-3102))\/(25\/(-20)).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1\/9)\/l**(1\/5)*(l\/(l*l**(-3\/5)\/l*l*l))**21 assuming l is positive.\nAnswer: l**(-392\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 3) to base 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**2 + 37 - 5*g**3 - 20 + 3*g + 21 - 3*g + 2*g to the form w*g + u + l*g**3 + j*g**2 and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = 11 - 29. Let b(d) = 4*d**3 - 3*d**2 + 2*d - 3. Is b(l) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of t**3\/3 - t**2 - 9*t - 1. Suppose -17*y - 156 = -56*y. Give w(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1136*f - 1134*f + 28 = -4*b, -3*f - b - 17 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - ((-50)\/4)\/((-3)\/6). Is 966 - ((-2)\/6)\/((-8)\/f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*((-2)\/(-6) - 1) + 1. Let m be w\/(15 + -18 - (-3)\/4). Determine i, given that -64\/9*i**2 + 56\/9*i**3 + m*i**5 + 4*i - 8\/9 - 8\/3*i**4 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n + 4. Let b be 3 - (-3 - (-5 + -1)). Let p be s(b). Suppose 2*o - 4*o + 16 = p*q, -2*q + 18 = -4*o. Solve q*i - 3*c = 5, -2*c + 3 - 5 = -2*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 5*r**5 - 1755*r**4 + 139980*r**3 + 287020*r**2 = 0.\nAnswer: -2, 0, 127, 226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 3*s - s - 1436 = 0, -2*m = -2*s - 724. What is m rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l + 2. Let m be h(2). Suppose -4*f + 2*f - m*g + 24 = 0, -g = 2*f - 9. What is the derivative of -1 + 2*n**2 + 2*n**3 - f*n**2 wrt n?\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3786 is divided by 236.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 245006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(19) - sqrt(57)\/(sqrt(3)*3)).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p + 10. Let t be c(-5). Let b(x) = 5 + 0 - t*x**2 - 3 + 1. Let h(q) = -14*q**2 + 8. Let z(n) = 8*b(n) - 3*h(n). Let r(u) = 7*u. Calculate r(z(v)).\nAnswer: 14*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.737841958 rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 374751 divided by -28827\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 405668?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -18\/67, 0.03, 0.01265 in descending order.\nAnswer: 0.3, 0.03, 0.01265, -18\/67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2*(-2)\/8)\/((-585)\/702))\/(342\/(-42180))?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p - 10. Let x be s(-4). Let l = 473 - x. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5 - ((-1)\/(-4) + 32241\/(-132)). Solve 8*f - 281 + u = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.04, -1\/2, -0.2, -6 in descending order.\nAnswer: -0.04, -0.2, -1\/2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 38192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1357 and 118?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 + -0.8. Let z = -231.1 + 233.6. Put l, -4, z in decreasing order.\nAnswer: z, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - q = 4*q + 5*b - 59, 28*b = -8*q + 15*b + 19*b - 50 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1661\/1380 - -1\/276. What is the nearest to -1 in y, 0.1, 1\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 15*z + 234 = -17*z, -a + 232 = -4*z. Calculate the highest common divisor of a and 21240.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 0*y - 76. Does 8 divide (-12)\/5*(-1 - y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/7 + 930\/(-105)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 - 7*c**2 - c + 8. Let j be w(7). Let l = -99\/56 + 15\/7. Let i = -0.77 + 0.8. Sort i, l, j.\nAnswer: i, l, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*m - 27*m = 32. Let w(f) = 4*f - 6. Let q(h) = h - 2. Let i(t) = m*q(t) - 5*w(t). Let p(o) = -1. What is i(u) - 2*p(u)?\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 73 (b) -4.9 (c) 4 (d) -5\/3 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a2 (base 13) to base 11.\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31 - -30.961. What is w rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*y = -3, r - 295 + 286 = -y. Solve -r = 4*x + 7 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 0) + (1 - -15). Let w = 0 - -5. Suppose -5*g - i = -3*d, w*d - d + 5*g - 81 = 0. Solve -5 = a + 2*a - 5*l, -3*l = -4*a - d for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 8249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7133116 * 4.2.\nAnswer: 29959087.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 368 - 367.6. What is the second smallest value in 1\/7, y, 9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 489 divide 10762043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 10*r**2 - 9*r + 1. Let s be a(9). Let y(j) = 2*j**2 + 1. List the prime factors of y(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 4*d + 339. Calculate the remainder when ((-391)\/68)\/(((-14)\/d)\/(-7)) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 944\/11 + -86. Let k = 127 + -1269\/10. Which is the third biggest value? (a) g (b) k (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*r - 44*r - 3384 = 80*r for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9\/2 + -5. Let g = -0.53 + 0.3. Let i = -1.77 + g. What is the closest to d in -1\/4, i, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -16*t**2 + 3*t**2 - 54 + 49 wrt t.\nAnswer: -26*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d - 3. Suppose 5*g - 79 = 3*u, g + 41 = 5*g + 5*u. Let s(y) = 13*y - 48. Let v be s(4). Let h(t) = -3*t + 10. Calculate g*l(o) + v*h(o).\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52\/(-48)*((-2427532)\/(-21112) + -115)?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 5*y = 78492, 0 = 4*y + 463 - 451. List the prime factors of l.\nAnswer: 7, 37, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 20\/(-70) - 114\/(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 851131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 3781 - 3781 + 6*w - 3*w**3 + 9*w**2 - w as j*w**2 + b + k*w + p*w**3 and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n**3 + 3*n**3 + n**3 + (0 + 0 - n**2)*(-2*n - 3 + 3) - n**3 - 3 + 3 + 15*n**3 - 25 - 10*n**3 + 6 + n**2 to m + i*n**3 + q*n**2 + j*n and give m.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 1. Find the third derivative of -4*v**m + v**2 - v**4 - 5*v**2 wrt v.\nAnswer: -24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -5 (c) 0 (d) 6442 (e) 0.03 (f) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/8, -6\/139, -170?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3987513899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of w**7\/840 + w**6\/120 + 2*w**3\/3 + 2. Let l(c) be the third derivative of s(c). Find the third derivative of l(z) wrt z.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 120 and 3880.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c - 3. Let y(h) = h**3 - 8*h**2 + 22*h - 108. Let r be y(7). What is the lowest common multiple of j(3) and -4*(-1 - r\/(-6)) - 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -718561, -2874264, -6467103, -11497078, -17964189?\n\"Answer: -718568*h**2 + h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of 31 - 3*k**2 + 0*k + 1\/2*k**3. Factor i(n).\nAnswer: 3*n*(n - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 41*j + 347. Let d(v) = -3*v + 2. Let b(k) = 5*d(k) + m(k). Let o be b(-13). Solve 5*r - 4*t + 52 - o = 0, r + 13 = 4*t for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 7*h**2 + 6*h + 11. Let j be c(8). Let l be 4\/j*(-3 + -2). Let -24\/5*k**3 - 3*k**l - 3\/5*k**5 + 0 + 0*k - 12\/5*k**2 = 0. What is k?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 519 greater than or equal to 17409?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*o + p, -6*p + 3*p = 4*o - 16. Let g(k) = -k + 2. Let x be g(2). Solve -f + x*f = o for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 1, -18, -37, -56?\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1\/4, -247, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5640503 is divided by 486?\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4026, 5671, 8460, 12393, 17470, 23691?\nAnswer: 31056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 17314 divided by 8657\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5697*j**2 - 5786*j**2 + 4*j - 4*j.\nAnswer: -89*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/1*0\/3. Suppose r*d - 3 = -3*d. Let m = 0.25 - -0.05. Which is bigger: d or m?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*t + 307 = -v + 2*v + 127, 0 = 5*v + 10 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**3\/8 + 16299*q**2\/8 + 13679415*q\/8 + 641430225\/8.\nAnswer: (q + 1605)**2*(5*q + 249)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*h**3*i - 803403*h*i**2 + 116590533*i**2 wrt h?\nAnswer: -15*h**2*i - 803403*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -3*q + 17, q - 9*f + 5 = -5*f. Sort q, -4, 18, -37, 4 in descending order.\nAnswer: 18, 4, q, -4, -37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90\/(-27)*9\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -10*d - 8. Let u be n(-1). Let c(v) be the first derivative of -12 + 5*v + 4\/5*v**5 + 0*v**4 + 0*v**3 + 0*v**u. Differentiate c(s) wrt s.\nAnswer: 16*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 3*b**3 + b. Let o be c(-1). Suppose 0 = -3*y + 4 + 8. Let v = 3 - y. Put 0.3, v, o in decreasing order.\nAnswer: 0.3, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 431*d**6 + 8*d**5 - 356*d**3 - 38*d**2 + 212*d - 556 wrt d?\nAnswer: 51720*d**3 + 480*d**2 - 2136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1270 and 3606546.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(c**(3\/16)*c)))\/c*c)\/c**(-1\/5)*(c**(6\/7)\/c)**(1\/42) assuming c is positive.\nAnswer: c**(16277\/11760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -10 - 7.86953181\nAnswer: -17.86953181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 k when three letters picked without replacement from hknvknvnn?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3*i**3 - 30*i**2 + 27*i + 3. Let f(g) = -6*g**3 + 60*g**2 - 54*g - 5. Let j(t) = -5*c(t) - 3*f(t). Determine v so that j(v) = 0.\nAnswer: 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 210?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 184*u + 190*u - 35 - 376*u. Let w be n(-19). Solve m - 7 = w*v + v, 3*m = 2*v - 9 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/15*(-24)\/(-32)*15\/15?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-10 + -29) - (-17 - -16)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**2 - c**2 + 2*c**2 + (2*c - 2*c + 2*c)*(2*c - c + c) - 6 + 6 + 2*c**2.\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 670*o**5 + 378*o**2 - 776*o**2 + 404*o**2 + 39*o wrt o.\nAnswer: 40200*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -139*f - 14. Let s(z) = -140*z - 17. Give -6*a(j) + 5*s(j).\nAnswer: 134*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k + 2. Let v(d) = 3*d - 5. Let n(t) = -5*o(t) - 2*v(t). Let a be n(-2). Let x(y) = 3*y**a + 0*y**2 - y**2. Let h(c) = 4*c**2. Calculate x(h(r)).\nAnswer: 32*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 1389*f - 1. Let y be m(2). Let p be y\/30 + (-1)\/4. Let g = p - 269\/3. Calculate the common denominator of -27\/14 and g.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(77)*1*3)\/((-3*sqrt(352))\/sqrt(8) + sqrt(44)).\nAnswer: -3*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9c6a (base 14) in base 11?\nAnswer: 19435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/341 or 1?\nAnswer: 2\/341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 997978 is divided by 249491?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -304*s**3 - 42*s**2 + 1?\nAnswer: -1824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o + 7. Let f be q(-3). Let k = 0 + 3. Are k and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 5*m**2 - 7*m - 10. Let c(w) = w**3 + 5*w**2 - 7*w - 9. Let d(f) = -6*c(f) + 5*u(f). Let i be d(-6). Do 0 and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + ((-6)\/36)\/(2\/(-24))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16400 = -295*t - 2674*t - 3480 + 281011 for t.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 58438.28 nanograms in milligrams?\nAnswer: 0.05843828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 230*p - 202*p = -7414400. What is p rounded to the nearest ten thousand?\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gt when two letters picked without replacement from qkkmqqqmqkkkkgktk.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 7:59 AM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 297957924 and 75240?\nAnswer: 7524","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 14040 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/3)\/(288\/(-432))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -83*w - 56*w + 575*w + 1035*w to z + f*w and give f.\nAnswer: 1471","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 963*i**2 - 6 - 1 + 7 in the form c*i + d + n*i**2 and give n.\nAnswer: 963","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 3*y - 23070, -4*q + 55*y = 59*y - 18448. Calculate the highest common divisor of q and 171.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**2 - 16*x**3 - 19 + 24*x**3 + 4 - 10*x**3 to the form m*x**2 + i + a*x**3 + k*x and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 143463955 to the power of 1\/3, to the nearest integer?\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_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: Let t(y) = -3*y. Let c(m) = 5*m - 4*m + 8*m. Calculate c(t(f)).\nAnswer: -27*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/6 smaller than 0.37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 242*k**3*l**2 + 30*k**3*l - 231*k**3 - k**2*l - 84 wrt l?\nAnswer: 484*k**3*l + 30*k**3 - k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41167185 is divided by 2139.\nAnswer: 2130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*z + 366 = p, -3*p = 5*z - 1832. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21954?\nAnswer: 2, 3, 3659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -7*m**2 - 2*m + 2. Let r(i) = i + 5. Let q be r(-6). Let s(l) = l**2 - 1. Let b(y) = 3*y**2 - 2. Let d(f) = -b(f) + 2*s(f). Give q*u(n) + 6*d(n).\nAnswer: n**2 + 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p - 2*p + 4*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9371.\nAnswer: 9371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(88)*2*-5)\/((sqrt(8) - sqrt(800)*-1 - sqrt(8))*-1).\nAnswer: 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/7))**(-24)*w**(-3)\/w**(-2\/15) assuming w is positive.\nAnswer: w**(419\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/450*15\/24\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 20 = 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*n + 68. Let g be (-12)\/(-5) - n\/(-25). Solve -h - g = -3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211022 - -12?\nAnswer: 211111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x + 2*x + 6*x)*(7 + 4 + 11 + 4 - 2 - 1 - 1 - 3 + 5 + (0 - 4 + 3)*(1 + 1 - 4) + 0 - 1 + 2).\nAnswer: 108*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 210 - 101 - 389*g - 109 in the form c*g + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.378063 micrometers to nanometers.\nAnswer: 9378.063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22720 and 85910.\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 23 + 13)*(-16*r**3 + 9*r**3 + 20*r**3) + 3*r**3 - r**3 - 3*r**3.\nAnswer: 441*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 + 669237073726\nAnswer: 669237073726.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n - 66 + 68 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -j**4\/4 + 5*j**3\/3 - 6*j**2 + 15*j + 28. Let n be l(6). Let x = 95 + n. Solve -7 = -x*h - 4*t - 21, 22 = -5*h + 3*t for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3984, -7963, -11934, -15897, -19852, -23799, -27738?\nAnswer: -31669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 2\/9141, 4, -2?\nAnswer: 2\/9141","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -314*t - 639*t - 178*t.\nAnswer: -1131*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 120 = 10. Suppose 2*g + 2*n = s, 0 = 2*g - 6*g + 3*n + 80. Suppose -3*m = -83 + g. Calculate the lowest common multiple of m and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of 1\/84*y**8 - y**2 - 1\/35*y**7 - 1\/12*y**4 + 1\/10*y**5 + 0*y**3 + 0*y - 18 - 1\/60*y**6. Suppose k(s) = 0. Calculate s.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -16*1*1\/(-2). Let h = -3 + 9. Suppose 3*v + 4*c - s = h, 5*c = -5*v + 20. Sort 0, v, 5 in ascending order.\nAnswer: 0, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00110914586 to four decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -545, -1064, -1583?\nAnswer: -2102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -259477.9494983 + -0.0505017. Let m = 259371.047 + t. Let p = m + 107. What is p rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + -1 + 55*-1. Let k be ((-944)\/p)\/(-7 + 1). Let x = k + 8\/3. Is x at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 2. Suppose 6*w - 66 = 3*w. Let i = h + w. What are the prime factors of i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2112 (base 4) to base 15.\nAnswer: a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/532175545 or -1?\nAnswer: -1\/532175545","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 12*v**2 - 6*v - 44. Calculate q(9).\nAnswer: 874","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y - 2*m - 3911 + 3902, 3 = 2*y + m for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -19, 3, -4, -3 in ascending order.\nAnswer: -19, -4, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2163 or 2177?\nAnswer: 2177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t - 7. Let a be g(5). Suppose -6*n = 3*x - n - 17, -2*x - a*n = -11. Suppose -x*o + 3*m = -266, 2*m - 1 = -o + 60. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5638533*f*n**2 + n**2 + 2785*n - 690 wrt f?\nAnswer: 5638533*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1537*u**5 - 403796 + 403796 + 3*u - 3*u + u**5 + (0 + 2*u + 0)*(-4*u**4 + 4*u**4 - 2*u**4).\nAnswer: 1534*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, w: 1, o: 2, v: 2, z: 1}. Give prob of sequence zoob.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -403 - -414. Calculate the highest common divisor of d and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 233 - 199. Calculate the remainder when 5 - 0 - (2 - n) is divided by 12\/(2 - 2\/4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/15*(-10)\/(-2). Which is the nearest to 1\/4? (a) u (b) -1 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3.784, -25, 1\/2, 2\/5?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21560 and 3120.\nAnswer: 1681680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 24688.93ug?\nAnswer: 24688930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113 is divided by 24.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5368 - 329*j + 659*j + 6*j**3 - 330*j + 5368.\nAnswer: 6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.01367 - -0.01367. What is the nearest to 3\/2 in 78, 4, q?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qzewzzzzzzzzzfz. Give prob of sequence fw.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3*i**2 - 6*i + 6. Let d be u(-3). Suppose 9*w - 13*w = -16. Put w, d, 2 in ascending order.\nAnswer: d, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108\/(-150)*((-35)\/3 + 10)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 10:33 AM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 170218*(702\/(-36) - -20) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 13, -3 in descending order.\nAnswer: 13, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x + 61 = 88 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - 16*d + 750. List the prime factors of r(81).\nAnswer: 3, 5, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4059 - 0.1759. Which is the closest to 0.3? (a) -5 (b) w (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_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 r = -1965.6 + 1965.7. What is the closest to r in 6, -0.16, -1, -1\/3?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pkllclkffkllkf. What is prob of sequence ckkf?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 2442.78kg?\nAnswer: 2.44278","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 52*o + 1146*o + 3 to p*o + m and give p.\nAnswer: 1094","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 77005?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, v: 7}. Give prob of sequence vvi.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from picmmizmmizpiivizzc. Give prob of picking 1 m and 2 p.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and -0.16713579.\nAnswer: -0.16713579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*q - 4*q - 5*q.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x - 9. Let f be c(7). Let j be f\/3 + 846\/(-27). Let l = j + 52. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 3*p)*(1 - 7 + 2 + 5 + 0 - 4 + (-1 + 1 - 1)*(-2 + 2 - 2) - 3 + 2 + 2 + 1 - 3 + 1) as l + n*p and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 843 divide 1521264312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -5*g - c, -64 = 60*g - 64*g - 4*c for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 4*f - 3 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2.9244 and 1689077876.\nAnswer: 1689077873.0756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 6*a - 15, -5*g + 3*a = 774. Is -4 - (g - (-2 + -2)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -16*x - 3. Let g be z(-2). Let t be g\/(-4) - (-2)\/8. Let c be 28\/(-16)*2\/t. Is 1 at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**2 - 28*b + 15. List the prime factors of l(14).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 517520?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1557, -1558, -1559, -1560, -1561?\nAnswer: -1562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**1)\/(v\/(v**(1\/20)*v)*v)*(v*v\/v**(-3\/8)*v)\/(v\/(v**(-13)\/v)) assuming v is positive.\nAnswer: v**(-423\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-2))\/(((-28)\/(-6))\/14).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10*6 + 1 + -1. Suppose -4*f + 152 = -z. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 + 4*q**2 - 13 - 10 + q**2.\nAnswer: 5*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5 - (74376 - -4)\/(-5). Let r = j + -8542. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 6:09 AM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/8 + (-1287)\/18. Is f less than -73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + -5 - (-5 - -1)) + -7 - -31.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*o + 50*o**2 + 23*o)*(o**2 - o**3 - o**2 + (0*o + 0*o + 2*o**3)*(6 - 3 - 2) - 4*o**3 + 0*o**3 + 5*o**3 - 9*o**3 + 4*o**3 - 9*o**3) + o**5 - 2 + 2.\nAnswer: -599*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -538434 - 31466. Round s to the nearest 10000.\nAnswer: -570000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z + 0*z**3 + z**3 + 52 + 7*z**2 - 58. What is the tens digit of b(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.852333l in millilitres?\nAnswer: 1852.333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + n = -550. Let s be (0 + 4)\/((-1)\/n). What is s rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -27849\nAnswer: 2\/9283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4*l**2 - 5*l - 22. Let n be v(11). Solve -n + 411 = -k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 55.975 + -56. Which is the second biggest value? (a) x (b) -0.2 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2570 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-64)\/(-6) + 5\/60*4 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1521 and 98189?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -47952 + 68286. List the prime factors of j.\nAnswer: 2, 3, 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*v - 2. Let h(b) = -4 + v + 3 + 2*b + 1. Calculate h(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32895035*b**5 + 152791284*b wrt b.\nAnswer: 657900700*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in 0.09, 6, 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pczjo. Give prob of picking 1 o and 1 p.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 266*a**3 - 540*a**3 + 272*a**3 - 32*a - 13*a**2 + 10. Is f(-21) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -73 + 76. What is the second derivative of 0*i + 8*i - 9*i - 10*i**s wrt i?\nAnswer: -60*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.539 + -8.5. Let b = -1521.3 + 1521.338955. Let g = b - h. What is g rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -17, -5\/109, -6, -20.4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -169 or -7298?\nAnswer: -7298","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**3*k**2*n**2 + h**3*n**2 - 18730*h**3*n - 184*h**2*k**2 - h*k*n**2 - 16*k**2 + 101*k wrt k.\nAnswer: 2*h**3*n**2 - 368*h**2 - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttuw when four letters picked without replacement from wsxltwu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3 - 282485*t**2 - 7630740*t.\nAnswer: 5*t*(t - 56524)*(t + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258134794 is divided by 414?\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in 0, 7.5, 0.04, 14, 0.1, 3\/2?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2 - 102428*u - 1311436898.\nAnswer: -2*(u + 25607)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**5 + 8*o**4 - 10*o**3 - 8*o**2 + 9*o.\nAnswer: o*(o - 1)**2*(o + 1)*(o + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2770 + -19356\/7. Is r < 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 - 5*s + 13. Determine t(-8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4026 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/10)\/(5\/(-25))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1221\/(-42) - 1\/2. Let f = m + 213\/7. Determine l, given that f*l + 4\/7 - 10\/7*l**2 = 0.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f - 213036 = -52*f. Is f a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/((sqrt(16)\/sqrt(2))\/sqrt(2)).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*o + 90 = -32*o. Which is smaller: -5 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 55 and 277\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2150\/74 - (1416\/296 - 5)\/(-4)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -40 (b) 2\/5 (c) 0.07 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1176742 hours to milliseconds.\nAnswer: 423627.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35985 and 89521084.\nAnswer: 2399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2022222212011 (base 3) to base 13\nAnswer: -3454ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-3*(sqrt(13) + sqrt(26)\/sqrt(2)))**2 + -1 + (sqrt(52))**2.\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u**3 - u**3 + 3*u**3)*(1788 - 395 - 931 - 959).\nAnswer: 994*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6610924456 and 0.031465?\nAnswer: 6610924455.968535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*((-260)\/(-5) - 5). Let s = 52 + a. Let c(r) = r + 4. Calculate c(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1443, -2983, -4741, -6825, -9343, -12403?\nAnswer: -16113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 5 + h - 4 - 2. Let w(c) = -21. Let b(t) = 44. Let d(r) = -4*b(r) - 9*w(r). Let v(q) = -d(q) - 5*l(q). Differentiate v(m) with respect to m.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y - 1. Let m(f) = 5*f - 5. Let s(n) = 6*a(n) - 2*m(n). Let b(h) = h**2 - 3455*h - 20762. Let p be b(-6). Calculate s(p).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, r: 1, g: 3}. Give prob of sequence egr.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -606*a - 8. Let c(b) = -606*b - 6. Determine -5*c(s) + 4*u(s).\nAnswer: 606*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 12cb66 (base 13) to base 7\nAnswer: 3611360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of 0*k + 2\/3*k**3 + 2 + 0*k**2. Let z(q) = q + 7. Let s(n) = -n - 6. Let r(d) = 7*s(d) + 6*z(d). Give r(g(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - 4*a**4 + 0*a)*(-521 + 521 + 76*a).\nAnswer: -304*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 708\/8 + (14\/(-48) - 4\/(-32))*-3\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -2836 + 3073. Solve -q + 79 - l = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 6*s = 22. What is the lowest common multiple of s and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 + 23*j**2 - 27*j - 65. Calculate c(-24).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-2)\/(-4))*(1183\/52 - 23)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-6)*(1302\/(-616))\/(-31)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 0.1243?\nAnswer: 0.1243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 16*o - 9. Let v(r) = -15*r + 11. Give -4*u(k) - 3*v(k).\nAnswer: -19*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37614?\nAnswer: 2, 3, 6269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-612)\/(-1020))\/((-2)\/30)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 11 = f. Let s be 54\/f - (-2)\/(-5). Solve -3*r = 3, s*w + 0*w - 5*r = -5 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.59428 litres in millilitres?\nAnswer: 37594.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 3*j = 5*z - 19, -3*j + 3*z = 9. Suppose 5*k + 55 = j*v, -4*v = k + v + 11. Let a(o) = -o**2 - 24*o - 16. Is a(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 98\/(-21)*(-14 - -2). Let y = -54 + w. Suppose 0 = j - y*b - 78, 4*b = j + 3*b - 79. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1356, -4786, -10492, -18474, -28732?\nAnswer: -41266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of v**7\/147 - 2*v**6\/21 - 5*v**5\/7 - 40*v**4\/21 - 55*v**3\/21 - 2*v**2 - 473*v. Factor r(q).\nAnswer: 2*(q - 14)*(q + 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31139688 * 1\nAnswer: 31139688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.1645 plus -249917?\nAnswer: -249929.1645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (210\/(-245))\/(2\/(-19824)). What is the greatest common factor of b and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 6, 469 in decreasing order.\nAnswer: 469, 6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 137 - 136. Sort 0, -2, t, 2 in increasing order.\nAnswer: -2, 0, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f - 2*f - f)*(36 - 47 - 279)*(-4 - 3 + 0).\nAnswer: 2030*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 288 divided by 848?\nAnswer: 18\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p**3 + 17*p**2 + 702*p - 44. What is g(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*q - 169404 = 80076. What are the prime factors of q?\nAnswer: 2, 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1165*y + 1062 = 11730 + 38262 for y.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, i: 2, x: 1, h: 3}. Give prob of picking 2 h.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129*h**2 - 67*h**2 - 68*h**2.\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2*(sqrt(288) - sqrt(288)*-1*1)*1 + -4).\nAnswer: -288*sqrt(2) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l*l**(2\/3)*l)**(-2\/13))**(-2\/25) assuming l is positive.\nAnswer: l**(56\/975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 4*z + 99, 3*z = 58*i - 60*i + 154. What is the lowest common multiple of 10 and i?\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -18*m**2. Let k(o) = -43836*o. Calculate r(k(d)).\nAnswer: -34588708128*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -590 + 1782095228.\nAnswer: 1782094638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2130 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*((m*m*m*m\/(m**(-3)\/m))\/m)\/m*m))**(-1\/70) assuming m is positive.\nAnswer: m**(1\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-9)\/(-2))\/(12\/32). Suppose 3*j - s = 2*z, 0*j = 3*z - 5*j + 20. Suppose z = 2*l - 4*l + 198. What is the greatest common divisor of l and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of -p**8\/20160 - p**7\/630 + p**6\/80 + p**5\/15 + 22*p**2. Let m(v) be the third derivative of w(v). Give m(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.068 times 7997?\nAnswer: 543.796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -13*h + 11. Suppose 0 = -t + 6 + 5. Let v(k) = 7*k - 6. Let l(j) = t*v(j) + 6*a(j). Let p(z) = -12 + 26 + 5*z**2 - 14. Give p(l(f)).\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 3574.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 4*j + 3*t - 11, -2*j - 2*t + 8 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 810258 a multiple of 396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 3*l + 0*l = -6, -p - 1 = -2*l. Suppose -p*o + 7*o = -10. Let f(c) = -6*c**3 - c**2. Let x be f(-1). Sort o, x, -3 in increasing order.\nAnswer: o, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5734 and 674?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -112 + 1119\/10. Let w(k) = k + 2. Let l be w(-3). Is m smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35696782 a multiple of 437?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 133 (base 7) to base 9\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v + 3. Calculate m(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.1 (b) 2 (c) -0.19 (d) -4\/5 (e) -24 (f) 15\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -164*y - 77. Is c(-3) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 4*a**2 - 3832*a + 11460 = 0.\nAnswer: 3, 955","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.008*5.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3*v**3 + 2*v**2 + v - 4. Let i be x(-5). Let a = 608 - i. Let s = a + -113. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 74729 = -5*c, 27*c = -4*v + 34*c + 298808. List the prime factors of v.\nAnswer: 3, 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4855095 by 7.\nAnswer: 693585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 139a0 (base 11) to base 6\nAnswer: 231453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - -31 - 9 - -7. Solve 2*b + 8 = 0, 0*p = -3*p + 5*b + z for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z\/(z\/(((z\/(z*z\/(z\/((z*(z\/(z*z**(-1\/3)\/z*z*z))\/z)\/z))))\/z*z)\/z))))**(15\/8)\/(z**(1\/2))**(3\/4) assuming z is positive.\nAnswer: z**(-13\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-4075)\/(-325) + -13 - ((-1602)\/(-663))\/(-6)).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*f - 138*f - t = -5, 2*f + t = 5 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l. Let y(r) = 545*r**2 - 146*r**2 - 779 + 684. Let i(x) = -25*x**2 + 6. Let d(t) = 95*i(t) + 6*y(t). Calculate k(d(c)).\nAnswer: 38*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 49, 3\/7, -0.1, 19?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 20120000021021 (base 3) to base 2\nAnswer: 1101010010100110110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.103004259 to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1032211 (base 5) to base 6\nAnswer: 214234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, 1, 13, 31, 55, 85, 121?\nAnswer: 163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -369*a**4*c - 9*a*c - 4*c - 362 wrt a?\nAnswer: -1476*a**3*c - 9*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 2*o + 41. Let q be k(0). Determine v, given that 11*v - 5*v**3 - 9*v**4 - 24*v**3 - 1 - q*v - 43*v**2 - v**5 - 7 = 0.\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 537083 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 24, 39, 48, 51?\n\"Answer: -3*g**2 + 24*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120 - 50 = -34*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -236, -423, -608, -791, -972, -1151?\nAnswer: -1328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -2. Let n be (-152820)\/(-54336) - (-3)\/16. Let l be (6 - 0)*4\/8. Solve -5*z - l - s = 4*x, -3*x = -n*z - 30 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 3*q**2 - 12*q + 11. Let i be m(8). Suppose -i = -5*z + 215. Let r = -52 + z. List the prime factors of r.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10133 (base 4) to base 8.\nAnswer: -437","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -140040679 and -230.4.\nAnswer: -140040909.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 221*c + 256*c + 16905 = -23163 for c.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -117.6 - 88.5. What is n rounded to zero decimal places?\nAnswer: -206","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11773, -23580, -35383, -47182, -58977, -70768?\nAnswer: -82555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 6 = -p, 7*p + 26 = -l + 3*l for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -271 + -2?\nAnswer: -273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3 (b) -10 (c) -3321 (d) -1\/5 (e) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - -3) + (13 - (5 + (-9 - -12))).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4508 + -4506. Let f be (-9 - -3)*4\/(-6). Let k be (-1)\/(-2)*a*f. Solve 0*z = k*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 4*k**2 - 5*k + 2. Let i be p(-5). Find the second derivative of 4*j**2 - 3*j**2 - j**2 - j**5 + i*j wrt j.\nAnswer: -20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from zczcggezgfgfffgf?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -21*x**2. Suppose -2*t - 3*t = -435. Let q = t + 773. Let o(i) = q - 3*i - 860. Determine o(v(g)).\nAnswer: 63*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 8:02 AM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.982821 + 6.969. What is w rounded to three decimal places?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 - 1 + p**2 + 2)*(-2 + 4 + 6) + 0*p + 4*p**2 + 0*p.\nAnswer: -4*p**2 + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -16*r**3 - 36306*r**2 + 31782*r + 4540 = 0.\nAnswer: -2270, -1\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 142221, 142161, 142101?\nAnswer: 142041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30605, 31116, 31633, 32156, 32685?\nAnswer: 33220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -0.3. Let t = 2.6 + r. Let l = t + -4. Which is the smallest value? (a) l (b) 1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x*x\/(x\/x**(4\/5))*x)\/x*x)\/x)\/(x**(1\/14)*x)*x**(-1\/9)*x*x\/((x**(-2\/11)*x*x)\/x) assuming x is positive.\nAnswer: x**(19399\/6930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*f + 4*f - 2*f)*(-2*f**2 - 2*f**2 + 2*f**2) - 2*f**3 - 23*f**3 - 116*f**3 in the form r + h*f**2 + v*f + w*f**3 and give w.\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -321*z - 3. Let a be k(6). Let f be 1 + (a\/6)\/(-1). Let p = f - 289. Calculate the common denominator of p and 49\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -681 = 8*a + 351. Let q = a + 131. What is the lowest common multiple of 4 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.0022345 rounded to 5 dps?\nAnswer: -0.00223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 681 + -675. Calculate the lowest common multiple of a and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 9:43 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 130643?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 4*r**2 - 3*r - 1. Let l be -3 + -2*2\/((-8)\/6). Suppose -2*y - 3*a = -17, l = 4*y - a + 2*a - 9. Let v be i(y). Solve -3*n + v*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1)\/(r*r\/(r*r**(4\/3))*r)*((r\/r**(2\/9))\/r)\/(r*r**(-2\/7)*r*r))\/((r**(-3\/5)\/(r*r**2*r*r))\/(r*r**(-2\/3)\/r*r)**1) assuming r is positive.\nAnswer: r**(419\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 6 + 0 = 0, 80 = 5*b - 11*b - 10*v - 110 for b.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 0 + 0 - 9*x - 3 - 13 wrt x?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a\/a**(1\/4))*a*a**1)\/(a**6\/(a**(-3\/8)*a)) assuming a is positive.\nAnswer: a**(-33\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvlvllvvvlvvvl. Give prob of picking 4 l.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 11*a - 111. Calculate z(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22*l**5 + 7 + 346*l - 346*l - l**2 + l**2 + 2*l**5 + (3*l**3 + 2*l**3 - 3*l**3)*(-2*l**2 + 0 + 0).\nAnswer: -24*l**5 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 3*v - 381 = -5*a, a + 2*v - 71 = 0. Suppose -2*p + a + 21 = 0. Round p to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7.475, 3, 6\/5569?\nAnswer: -7.475","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 12, o: 6}.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45 + -5)\/(-5) - (0 + 3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22192*l*n**3 + 112*l*n**2 + 2*l*n - 14*l - 17*n**3 + 738259 wrt n?\nAnswer: 133152*l*n + 224*l - 102*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -3*s**4\/4 - 2*s**3 - 5*s**2\/2 - s - 53. Let g(c) = 6*c**3 + 13*c**2 + 11*c + 2. Calculate -6*g(a) - 13*l(a).\nAnswer: 3*a**3 - a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/20*(-10)\/50*500\/(-420).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -33072 and -175.\nAnswer: -33247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 27, 16, 15, 30, 67, 132, 231?\n\"Answer: s**3 - s**2 - 15*s + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -183347880, -183347879, -183347878?\n\"Answer: c - 183347881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -22808, -10.\nAnswer: -22808, -10, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -61*x - 79 - 72 + 150 as q*x + o and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 - -32 - (2 - 20) - -7.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-66555)\/(-377))\/27 + (-6)\/(-13). Solve -2*g = g + q - o, -3*g = 4*q - 19 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10948 (base 12) to base 15\nAnswer: 6828","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -11a5?\nAnswer: -11a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 519*l - 2662 = 398*l for l.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 PM and 4:40 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 7 = -8. Let n(f) = f**2 + 4*f + 3. Let c be n(-3). Suppose -w - w = -5*b + 10, c = 2*w - 2*b + 4. Solve o = -w*s - 3*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1193107 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1377 (b) -2\/137 (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - b - 1279. Let t be i(0). Let w = t - -7691\/6. Let s = 900 + -13538\/15. Find the common denominator of s and w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -4*m - 10 - 1882, 0 = -3*r - 3*m - 2853. Let s = r + 2413. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 g, and 1 o when three letters picked without replacement from yoyggssgyy.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18674032 to the nearest integer?\nAnswer: 4321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of l**3\/6 - 2*l**2 + 5*l. What is the first derivative of o(j) wrt j?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1350010.\nAnswer: 2, 5, 127, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30312\/(-1200) + 25 - (-3 + 20\/8).\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 9:57 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108471 is divided by 821.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1464 + 868. Let g = -379 - v. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30696035 to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z + 0*z**3 - 3*z**2 + 4 - 4*z**3 + 5*z**3. Let q be h(2). Let y(m) = -m**3 + 2*m - 2. Determine y(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1460.3481 rounded to the nearest integer?\nAnswer: -1460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 4*s**2 - 5*s - 2. Let y be o(6). Suppose -k + 31 = 4*q, -4*k + 7*q = 2*q - y. Solve -k*d**2 + 16*d**2 + d + d = 0 for d.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2859919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 12 - 2. Let t = u - -10. Let g(v) = -v**3 + v**2 + v + 5. Calculate g(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/24 - (-7)\/(-4). Let m = 2 + j. Suppose m = k - 6*k + 5*w + 40, 5 = -w. Solve -2*q - 3*q = -3*l + 9, -6 = 4*q - k*l for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 62*o**5*p - 3*o**3 - 67*o - 2*p + 2 wrt o?\nAnswer: 1240*o**3*p - 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*6*(-2*(0 + sqrt(612)) + (sqrt(612) - (sqrt(612)*-1 + -1))) + -2)**2*6 + -1.\nAnswer: 1535","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1\/4302, -15, 0.08?\nAnswer: 1\/4302","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 + 19. Solve 2*u - 14 = o*l, l + 0*u + 1 = -u for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**2 - 3880*n + 940900.\nAnswer: 4*(n - 485)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2108316 and 11571.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 10:15 AM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 11, q: 1, k: 1, g: 1, p: 1}. What is prob of picking 4 e?\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -134 + 136. Let o be (-12)\/3 - 8*l\/(-4). Suppose o = -7*t - 10*t - 68. Let g(m) = m**3 + 5*m**2 + 4*m - 5. What is g(t)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -5 (b) 1\/7 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 258 and 320006.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-204)\/(-5) - 0)\/(21\/70). Suppose -5*j = -13*j + o. Suppose -13*l - 212 = -j*l. Which is the nearest to 0? (a) l (b) 1\/3 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -21, -4, 2, 27, -13 in ascending order.\nAnswer: -21, -13, -5, -4, 2, 5, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1480889485 to the power of 1\/2, to the nearest integer?\nAnswer: 38482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*d**2 + 14 + 8*d**2 + 3*d**2 + 10*d**2 in the form l*d**2 + o*d + u and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(22)*6)\/(sqrt(98)*1 + sqrt(98) + sqrt(98)) - (sqrt(176) + -3 + (sqrt(176) - 2*sqrt(176)))**2*6.\nAnswer: -54 - 4*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153 is divided by 150?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9631849937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15.6, 4, -2\/19.\nAnswer: -2\/19, 4, 15.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1765465 * -9.2.\nAnswer: 16242278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3470793 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one halves of a year?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 172 = -4*u - 417, -3*u + 2*n = 413. Let j = 144 + u. Solve -m + 4 = j for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50215739.\nAnswer: 7, 17, 23, 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-3)*(17901\/(-80784) - 6\/(-32))\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 375*t**2 - 4*t**3 - 190*t**2 - 191*t**2. Let n(o) = -o**2. Determine -k(j) + 4*n(j).\nAnswer: 4*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 32017369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/7 + -1 + (-20)\/70.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -159?\nAnswer: 4\/159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**3 + 220153539474*x - 220153539474*x.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -100 - -94. Let u(f) = -15*f + 13. Let d be 3\/9 + 152\/12. Let l(y) = -7*y + 6. Give d*l(h) + z*u(h).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.6 - 2. Let d = j - 0.6. What is the second smallest value in 0.1, 5, d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 31 = 5*y, 2*i - 8 - 179 = y + 4*i + 7*i for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from ddddcc?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, i: 2, y: 2, q: 3}. What is prob of sequence ll?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = a - 8. Let h(b) = 3*b + 28. Let r be h(0). What is the highest common divisor of a and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*t = -387 - 8583. Calculate the greatest common divisor of t and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.34 - 0.16. What is the biggest value in l, 0.02, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -p + 29. Solve -5*g = -3*b - 8, p*g + b - 5 + 1 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.35 * 44191\nAnswer: 236421.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 4*l**3 + 3*l**2 + 5*l + 5. Let d(s) = -7 - 1 + s + s**2 + 0*s + 9. Let j(v) = 5*d(v) - t(v). Find the third derivative of j(n) wrt n.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3+-846033.01975041\nAnswer: -846030.01975041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(600)\/sqrt(48))**2 + 0.\nAnswer: 5*sqrt(2) + 27\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 75*g**2 + 170*g - 1738. Calculate s(73).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1031 is divided by 1029.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**3 + 8*r**2 + 269*r - 8. Let p(y) = -2*y**3 + 2*y**2 - y - 2. What is h(n) - 4*p(n)?\nAnswer: 6*n**3 + 273*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2089853, 8359276, 18808323, 33437000, 52245313?\n\"Answer: h**3 + 2089806*h**2 - 2*h + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1066516 is divided by 1946?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167626795 is divided by 880?\nAnswer: 875","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/2 - (-1)\/2. Let n(o) = -7*o - 4. Let t(q) = -q. Let k(a) = -n(a) - 4*t(a). Is k(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*r**2\/7 - 13338*r\/7 + 3334\/7.\nAnswer: 2*(r - 1667)*(4*r - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 34\/(-119) + 181\/63*3. Let w(v) be the first derivative of 12 - x*v**3 - 26*v + 0*v**2. Differentiate w(m) with respect to m.\nAnswer: -50*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-738)\/(-984))\/((-3)\/8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -36*j*o**3 - 4*j - 28*o**3 - 5 wrt j?\nAnswer: -36*o**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -17*x**3 + 596*x**2 - 22*x - 80. Calculate the remainder when 3386 is divided by o(35).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 97, 0.055, 2\/17, 2\/5, -4\/9 in increasing order.\nAnswer: -4\/9, 0.055, 2\/17, 2\/5, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -575, 0, -0.74?\nAnswer: -0.74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -8*x**2 - 21*x - 18. Let t(b) = -b**2 - 3*b - 1. Give j(r) - 6*t(r).\nAnswer: -2*r**2 - 3*r - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9659 is divided by 167.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16.35045 millilitres to litres.\nAnswer: 0.01635045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13051 and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 2*c + 5 = 125, 5*v - 284 = c. Let o(a) = 0*a**2 - 3*a + a**2 - 18 + 8 + 8. Let j be o(5). Calculate the greatest common factor of v and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*m + 17*m - 20. Suppose -35 = -5*x + 3*p - 10, -2*x - 2*p + 26 = 0. Put x, -2, m in descending order.\nAnswer: x, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 147, 17, 51.\nAnswer: -1, 4, 17, 51, 147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w - 7. Let b be r(-7). Let u = b - -37. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 388 and 27354.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) 0.1 (b) 4 (c) 0.5 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a + 0*a - 27409 + 37056 - 9647.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -313 + 311. Sort 2\/19, 0.2, y in decreasing order.\nAnswer: 0.2, 2\/19, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 37? (a) -1\/6 (b) -12 (c) -3\/5 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a milligram in micrograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 26*p**2 + p + 29. Let j = 85 + -111. Let t be w(j). Put t, 1, 4 in descending order.\nAnswer: 4, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 2:25 AM?\nAnswer: 1:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5138*c - 616 = 5226*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gqqdjqggqujggzu. What is prob of picking 1 j, 1 u, 1 g, and 1 q?\nAnswer: 16\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*11*5\/((-220)\/24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00122551291 rounded to 5 dps?\nAnswer: -0.00123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 47 = 3*b, 0 = -4*b + 4 + 8. Let r = 17 + -12. Solve r*a = 4*q + z, -3*q = -a - 3 + 9 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)\/((sqrt(27)*-2)\/sqrt(3)) - ((sqrt(6897) + (sqrt(6897) - (-1*sqrt(6897) + sqrt(6897))))\/sqrt(3))**2.\nAnswer: -9196 - sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 5*p = 5 - 19, -2*a - 18 = -3*p. Let r be a - 8\/4 - -4. Does r = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 199 = -29. List the prime factors of a.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/10 (b) 5\/16 (c) -1\/40 (d) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 3*n**2 + 7. Let o(y) be the second derivative of -2*y + 0 - 1\/12*y**4 - 1\/2*y**2 + 0*y**3. Let r = -3 + 4. What is r*l(f) + 5*o(f)?\nAnswer: -2*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 7:08 PM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.027 from 2606018332.\nAnswer: 2606018332.027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llwlllwyy. What is prob of sequence lywl?\nAnswer: 5\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 6 = -5*b. Let o(d) = -21*d + 19. Let a(g) = -22*g + 20. Let z(y) = -a(y) + o(y). Determine z(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 1*-1)*(5 - 736\/64)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -71 + 349675\/4899 + (3\/(-6) - 1\/(-6)).\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t - 7. Suppose o + 2*o = 3. Calculate the smallest common multiple of u(10) and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 590 - 172 = f, -2 = f. Is 17 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5074722 divided by -9\nAnswer: 563858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 2*m + 8, 5*m = -4*s - s. Solve -f + 2*u = -1, 2*f - 16 = -2*f - m*u for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 5*w + 3*q - 38, -w + 18 = -2*q. Let m(v) = -1 - v**3 - 2 + 6*v + v**2 - 4*v + 5. Let k be m(-2). Calculate the greatest common factor of k and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b - 29. Let r be d(-17). Solve 0 = -x - x - 3*v + 2, 0 = r*x + 3*v - 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 13\/((-26)\/(-4)) - (-10)\/7. Let k = o + -26\/7. Let c = 0.8 + -1.1. What is the biggest value in 1, k, c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 136049?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d + 5*d = -v, 0 = d + 4*d - 22*v + 20*v for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 4 = -2. Suppose -62 = -3*q + 5*r, -r + 17 = 2*q - 7. Let g be (-6)\/(-4)*q\/63. Which is the biggest value? (a) g (b) 4\/3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -335?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -1580*n + 4739. Determine v(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*h - m + 3, -29 = -5*h + 2*m. Suppose 3*u - 9 = 6*u. Let n = h + u. Solve 6 = -d - n*z + 1, 2*d + 7 = -z for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 2:21 PM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1615 and 21165?\nAnswer: 402135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3310\/(-993) - (-2)\/(-3). Put 10, d, -12, -3, 2 in decreasing order.\nAnswer: 10, 2, -3, d, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -u**6\/40 + u**5\/60 - u**2\/2 + 3. Let r(c) be the second derivative of y(c). What is the third derivative of r(a) wrt a?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - 24975\/567) + 28.\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5120 and 8445120?\nAnswer: 135121920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 3 (b) -0.1 (c) -3 (d) -11265 (e) 27\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, t: 1, q: 4, c: 3}. What is prob of sequence pttp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 1964781*v**2 + 1. Let p be d(-1). Suppose -5139134 = 4*o + 2*n, -5*o = 7*n - 2*n + 6423925. Let u = p + o. What is u rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -6. What are the prime factors of x\/((-6)\/7)*14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -18755578 - -9?\nAnswer: -1875556b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 372 divide 328860648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1271*q - 3030*q + 475*q to the form j + i*q and give i.\nAnswer: -1284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-969)\/(-12920)*(50\/6)\/(6\/(-3)).\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 330*o + 327*o - 1844*o + 335*o + 331*o + 523*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((15\/(-9))\/(5\/(-6)))\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 636 and 16589?\nAnswer: 199068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/8 - (-175)\/40. Solve -r*m = -5 - 15 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18110 and 22.\nAnswer: 199210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170090 is divided by 85039.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6554037420?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2532 - 4*w + w - 2462. Let a be r(14). Solve -3*b - 2*j = b + 26, -2*b - a = 4*j for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of -4\/3*y**3 + 0*y**2 + 0 + y. Let c(g) = 13*g. Let a(x) = 37*x. Let o(t) = 6*a(t) - 17*c(t). Determine d(o(i)).\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 626?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6150418?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1352, 1342, 1360, 1418, 1528?\n\"Answer: 2*q**3 + 2*q**2 - 30*q + 1378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41 + (-11 - (-22 + 18 + 18 + -14))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 128 and 11672?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 12:39 PM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -38*v**3 + v. What is the units digit of u(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0041891 rounded to five decimal places?\nAnswer: 0.00419","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of 5*w**6\/2 - 5*w**2 + 11. What is the second derivative of x(i) wrt i?\nAnswer: 300*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1163, 2282, 3399, 4514, 5627?\n\"Answer: -p**2 + 1122*p + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 4*v**2 + 27*v - 81. Let j be y(-9). Solve 120*z = 4*g + 123*z - 3, -4*g - 4*z = j for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -33*(-10)\/(103 - -7). Solve -c*t + 28 = 28 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 602154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.018, -1\/5, -0.55, 1, -2\/9 in descending order.\nAnswer: 1, -0.018, -1\/5, -2\/9, -0.55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 91\/2185004?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85811 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 524907085?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 1121 = -1127 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0)**50*(m\/m**7)\/((m\/(m*m*(m\/(m*m*m\/(m*(m**5\/m)\/m*m)*m))\/m))\/m) assuming m is positive.\nAnswer: m**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 2*s + 10, 0*s + 4*s - 16 = -3*c. Suppose -x - c*x = -40. Let d = x + -6. Solve 2*q = -d*w, -2*q + 4*w - 12 = -36 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.1, 5287 in decreasing order.\nAnswer: 5287, 0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 2*m + 167 + 35, 0 = 4*m - 4. What is the least common multiple of 23 and a?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -w - 3. Calculate the least common multiple of w and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-70))\/(11648\/(-784))?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1217 divide 14285108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 2:00 PM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -99*a - 5443. Let w be p(-58). Which is greater: w or 293?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8 + (-63)\/18 + (-2)\/(-4). Solve -m*a + 0*a + 10 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, u: 1, o: 3}. What is prob of picking 1 t, 1 u, and 1 o?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1503414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -124522 (base 6) to base 10.\nAnswer: -11426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13644135?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + (-45)\/6*-2)\/1. Suppose 305 = -l*b + 5150. Suppose -8*w = 7179 - b. What is w rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -795, -1587, -2379?\n\"Answer: -792*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.09 - 0.12. Let q = z + 15.03. Let h = q + -13. Sort 2\/9, h, -2\/3 in decreasing order.\nAnswer: h, 2\/9, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -683, -1790, -3329, -5294?\nAnswer: -7679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v - v + 0*v + (1 + 1 + 0)*(7*v - 29 + 29 + (v + 0*v - 2*v)*(2 - 2 - 1)).\nAnswer: 15*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + 81*l**2 + 17*l - 7819. Calculate y(80).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10.3852133 - -34.385216. Let w = u + -24. Round w to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 76584, 153183, 229808, 306459, 383136?\n\"Answer: 13*x**2 + 76560*x + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 2\/19, 2, 0.5?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 3. Let v be ((-6400000)\/6)\/(u\/(-15)). What is v rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -58 * 0.181.\nAnswer: -10.498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1435176 divided by -23\nAnswer: -1435176\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + i**2 - 4*i - 1. Let b be f(2). Let a(v) = v + 13. Give a(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/3*9*(-2)\/3. Let d = -5 + 9. Put o, d, -3 in descending order.\nAnswer: d, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4563595798 - -1.402.\nAnswer: -4563595796.598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1219 != 196?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 284771 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/975?\nAnswer: 2\/975","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a + 1. Let y be 10\/25*(-30)\/(-9). Let w(h) be the second derivative of 7*h + 0 - 5\/2*h**2 + y*h**3. Determine 6*c(x) + w(x).\nAnswer: 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((117\/(-2))\/(-9))\/(3\/102)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28.33 + -2.31. Let s = 0.02 - m. Let d = s - -25.962. What is d rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**5 - 4357*k**4 + 13123*k**3 + 187573*k**2 + 405534*k + 235440 = 0. Calculate k.\nAnswer: -4360, -3, -2, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-3))\/(3\/(27\/6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15240 + 15252. Factor -2 + 40*x**3 - r*x**2 - 27\/2*x.\nAnswer: (4*x + 1)**2*(5*x - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1739.7 rounded to the nearest ten?\nAnswer: -1740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 392467.\nAnswer: 392467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 89086?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -33, -200, -62 in ascending order.\nAnswer: -200, -62, -33, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 4*j - 36, 0 = -0*j + 5*j - r - 39. Let d = j - 4. Suppose -d*g + 27 = 5*h - 5*g, 15 = 3*h - g. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - k + 6*k + 5, 0 = -4*h - 4*k - 28. Sort h, -4, -2 in descending order.\nAnswer: -2, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 14*j**3 - 50*j**2 - 16*j - 53. Let q(b) = -5*b**3 + 17*b**2 + 5*b + 18. Let s(x) = -6*g(x) - 17*q(x). Let r be s(-10). Solve -2*i = -8 - r for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10537861 is divided by 376352.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (164\/6 - 4)*12\/14.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3504447 or 3504448?\nAnswer: 3504447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vrvvrfrrldlrcvlvvdd. Give prob of sequence cv.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 7*w = 40. Let h be 2 + (2 - (-344)\/(-84)). Sort h, w, 2 in decreasing order.\nAnswer: w, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that d**5 + 2779*d**4 + 2572799*d**3 + 795962609*d**2 + 2369919888*d + 1576527300 = 0.\nAnswer: -963, -850, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 12 - 0. Let c(r) = 9*r**3 - r**2 - 2*r + 2. Suppose -g + 7 = 4*z, g - 1 + 2 = 4*z. What is the lowest common multiple of c(z) and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32630814 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/(90\/(-110)) + (-11 - -3). Solve -q - s = 2*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23a3 (base 12) in base 5?\nAnswer: -112021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 5456990?\nAnswer: -21827960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3036 and 4224?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.97541 milligrams in tonnes?\nAnswer: 0.00000006597541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 423359811 a multiple of 3051?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.014186 + 0.0076. Round w to four dps.\nAnswer: -0.0066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17391595 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.05 + 43.05. Let m = b + -44.5. Put -2, m, 3 in increasing order.\nAnswer: -2, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -100110?\nAnswer: -101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5635954 is divided by 27359.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**5 - g**4 - g - 1. Let y(x) = 7*x**5 + 3*x**4 - 16*x**3 - 8*x**2 + 15*x + 11. Let u(h) = 3*b(h) + y(h). Find o, given that u(o) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -43*o + 228. Let c(z) = -21*z + 123. Give -11*c(h) + 6*l(h).\nAnswer: -27*h + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide (-27)\/18*2 - -1389?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -4551 and 6 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q**11*q)\/q)\/((q\/q**17)\/q))\/(q\/(q\/(q\/(q*q**3))))**(-11\/4))**(-29) assuming q is positive.\nAnswer: q**(-2291\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 670998 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/sqrt(4)*2)**2.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (68 - -1) + 18\/6. What is the tens digit of (a\/21)\/((-3)\/(-21))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-35)\/(-15))\/((-115640)\/(-2832))?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2582 or -1\/2?\nAnswer: -2582","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81344, 162711, 244078?\nAnswer: 325445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 76298720 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 l(p) = 5*p - 105. Let w be l(23). Let f = -2 - -4. Solve 3*a + f*r - 3*r + 3 = 0, -4*r = -a + w for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**2 + 2*n**2 - 12*n**2 + (-3*n**2 - 3*n**2 + n**2)*(21 - 40 + 25).\nAnswer: -41*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -209, -4, 0.2, -6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 9*v**2 + 3*v + 4. Let u be h(-2). Calculate the greatest common divisor of u and 238.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30746 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/7)\/((-3)\/84*6). What is the second smallest value in c, 2\/17, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-6))\/((330\/(-9))\/22)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 85 - 95 = 0. What is the remainder when s is divided by (33\/(-9))\/((-2)\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-13)\/2)\/(1\/6). Let u = -26 - l. Let p(z) = 2*z**2 + 13. Let s(c) = c**2 + 6. Suppose 12*g = -2617 + 2545. Determine g*p(i) + u*s(i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 25525.04 meters in kilometers?\nAnswer: 25.52504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -2*p - p. Let k be 138\/33 - (-5 + p). Which is bigger: 0 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 + 72\/(-10) + 4. Which is the second smallest value? (a) v (b) -5 (c) -2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 5*k + 11, -g - 11 = 5*k for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + g = -12, 7*n + 2*g - 8 = 3*n. Suppose n = 3*y - 2*y. Solve -y*i = 16 - 4 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 5*a**2 - 13*a + 28. Let p be h(6). Suppose 12*m = 7*m + p. Put 5, m, -2 in increasing order.\nAnswer: -2, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 8.8. What is the closest to 0 in 0.4, 1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence px when two letters picked without replacement from {p: 2, j: 9, x: 2, g: 6}?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n. Let v(g) = g**2 + 3*g - 5. Let h(f) = 4*c(f) - v(f). Let q be (-320)\/(-28) + (-3)\/7. Let l = 3 - q. Calculate h(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 159705 and 8998353.\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 15 = -3*v, -5*a + 5 = -6*a - 4*v for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33279450?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((81\/216)\/(1\/4))\/((-3)\/22). Let b(w) be the second derivative of -2*w**3\/3 - 9*w**2 - w. What is the remainder when b(x) is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1358 is divided by 1299.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -52, -91, -126, -157?\n\"Answer: 2*s**2 - 45*s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**6*l**(-5)*l**(1\/2)\/(l**5*l))**44 assuming l is positive.\nAnswer: l**(-198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1312353.\nAnswer: 3, 7, 37, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -305.7 != -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 15. Suppose 3545 = 5*q + 2*p, w*q + 3*p - 6*p = 2127. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*22\/46530*15\/6.\nAnswer: -2\/141","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 3:33 PM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - 4*s. Let u be t(-5). Suppose 5*m = 2*m + u. What is the highest common divisor of m and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (1 + sqrt(12)\/(-2*sqrt(6) + sqrt(6)))**2)*-4.\nAnswer: -8 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 25 = -v, 3*s - 37 = 4*v + v. Suppose -2*c + 74 = -4*h, -4*c - 3*h + 119 = 15. Suppose s*t - c = -n, -3*t + n + 4*n = 7. Solve t*w = w - 10 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vp when two letters picked without replacement from pvppppppppvpp.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -384678*i**4 + 373084 wrt i?\nAnswer: -1538712*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g**2*h*l**2 - g**2*h*l - g**2*l + 11*g*h*l**2 + 92*g*h*l + 5*h*l**4 wrt l?\nAnswer: 2*g**2*h + 22*g*h + 60*h*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s + 12. Let t be k(8). Let c(o) = -4*o + t - 4. Let p(b) = -2*b - 5 + 0*b + 5. Calculate p(c(h)).\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 470769940 a multiple of 305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 256743, 1026982, 2310711, 4107930, 6418639?\nAnswer: 9242838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.8933389 rounded to two decimal places?\nAnswer: 2.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of 0*a**3 + 1\/2*a**2 + 1 + 0*a + 2299\/4*a**4. Let o be z(-1). Round o to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.5 + 0.3. Let v = 0.1 + o. Let d = 270 - 269. Which is the nearest to d? (a) v (b) -3\/5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 154*f + 6. Let z(p) = -155*p - 7. Let k(l) = -7*r(l) - 6*z(l). Let t(b) = 2*b. Calculate t(k(y)).\nAnswer: -296*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -4*p**4\/3 - 25832*p**3\/3 - 51572*p**2\/3 + 490736*p\/3 + 172160 = 0.\nAnswer: -6456, -5, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 14. Which is the closest to z? (a) 0.2 (b) -2\/5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence or when two letters picked without replacement from {d: 6, o: 2, m: 1, r: 1, e: 1, v: 4}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 l, and 1 j when three letters picked without replacement from {l: 3, z: 6, d: 3, u: 6, c: 1, j: 1}.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 762, 765, 770, 777?\n\"Answer: k**2 + 761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y**5 + 554980*y**4 + 555000*y**3 - 1664930*y**2 - 2774915*y - 1109970 = 0. Calculate y.\nAnswer: -1, 2, 110997","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 160590 + 45017. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from 15319.\nAnswer: 15319.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -12060000 to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*f**5 - 9956*f**4 + 5*f**3 - 3271982*f**2 wrt f.\nAnswer: -180*f**2 - 238944*f + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112211001 - -11?\nAnswer: -112210220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 769\/4 - 5375\/28. Suppose -20 = 4*q + m, q + 4*q + 22 = -2*m. Which is the closest to q? (a) h (b) -3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-46)\/92 + 666\/4. Let p(a) = 166 - y - 2*a. Let v(f) = -181*f**2 + 1. Calculate p(v(x)).\nAnswer: 362*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 3 = 5*c, -2*k - 3*c - 35 = -38. Solve 26 + 4 = k*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 205 (base 7) to base 8\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + g + 4. Let y = 6 + 82. Suppose 10*f - y = 6*f. What is the smallest common multiple of f and v(0)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -5 - (7 - 11).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z - 1. Let p be q(-4). Let f = p + -6. Let h = -52\/45 + 14\/9. Put h, -2, f in decreasing order.\nAnswer: f, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-11)*(-145)\/435. Which is the nearest to -1\/4? (a) x (b) 5 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 4, -15602.\nAnswer: -15602, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -4*h - 10, -4*f + 14 = -4*h + 2*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 152 and 57920.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -7532\/61, -0.4, 603 in decreasing order.\nAnswer: 603, -0.4, -7532\/61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 3*f**2 + 54*f + 27. Let c be r(9). Solve c = 5*b + 979 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -25.8\nAnswer: -10.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6958, 10705, 14452?\n\"Answer: 3747*u + 3211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/1126836 and -43\/57616.\nAnswer: 58595472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3)*n*n**(4\/15)*n)**(2\/39)*(((n*n**(-3))\/n)\/n**6)\/(n**(-3\/2)*n\/n**(-1\/6)) assuming n is positive.\nAnswer: n**(-5092\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 7 = 4*c, -c = -3*k + 7 - 0. Suppose 0 = 3*d - 5*o - 10, -36*d - 2*o = -35*d + 4. Solve -2*b + c = -d*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -25*o**3 + 2540*o**2 - 66981*o + 124002 = 0. What is o?\nAnswer: 2, 249\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/((c*c**(-1\/3)\/c)\/c))\/c)**(-41))**(-4\/21) assuming c is positive.\nAnswer: c**(656\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 3*i + 12*i + 3*i - 54*i + 10*i.\nAnswer: -32*i + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 2, 5*z - 5*v = z - 26. Which is greater: z or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = g - 7. Suppose -1 = g*c - 5. Let h(n) = 4 - 548*n**2 - 8*n**3 - 4 - 543*n**2 + 1092*n**2. Calculate h(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 - 24. What is the third derivative of -4*v + 8*v - q*v**6 + 4*v**2 - 4*v wrt v?\nAnswer: -240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*z**3 + 9*z**3 - 11*z**3)*(-5 + 2*z + 0 + 4 + 3*z - 5*z + 0*z + (z - z + 2*z)*(-2 + 3 - 3)).\nAnswer: -44*z**4 - 11*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (72\/(-54))\/(1\/((-3)\/2)). Suppose -6*s - i = -8*s. Is 33 less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 13*a**2. Let o = 244 - 136. Let w(n) = 107*n - 196*n + o*n. Give w(v(y)).\nAnswer: 247*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b - 6. Let c be w(-4). Let x be 5\/c - (-3)\/(-6). Find z such that -11 + 4*z + 7 + 2 - x*z**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 p when two letters picked without replacement from {o: 1, e: 1, p: 1, t: 1, n: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -5580797.5 to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -120704 divided by 736.\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 480 in ascending order.\nAnswer: -2, 4, 480","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5\/2 or 2928?\nAnswer: 2928","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4351103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19120.\nAnswer: 2, 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4427 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.43 - 0.03. Let t = -12492\/5 + 2498. What is the closest to 4 in -6, t, o, -1\/4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*d - 2*p = -89, 2*p = d - 25. Suppose -4*b = -2*q - d - 23, 4*b = -2*q + 38. Solve 2 + b = 3*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3672 and 5033394.\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 17323, 17351, 17365, 17359, 17327, 17263, 17161, 17015?\n\"Answer: -p**3 - p**2 + 38*p + 17287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j**2 + 5*j + 1. Let g be d(-6). Suppose 100*z = -131*z + 13485 + 4533. Is z at least g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 8*i - 1 - 2*i + 1 + i**2. Let k be g(-6). Suppose 0 = 5*o - k*o - 25. What is the remainder when 13 is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**2 - 18*y + 22. Let d be t(-10). What is the third derivative of 8 - 6 - 2 + 15*g**2 - d*g**5 wrt g?\nAnswer: -120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 - 8*d + 19. Let p be u(4). Suppose -8*m + p = 3. Solve m = -g + 1 - 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/40 and -101\/6160.\nAnswer: 6160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12036 is divided by 1975?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -m**4\/3 - 1388836*m**3\/3 - 160729527068*m**2 + 19289209883360*m\/3 - 192897654337600\/3 = 0.\nAnswer: -694438, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (p - 5 + 5)*(-3 + 3 + p**3) - 78*p**4 + 48*p**4 + 2*p**2 + 147*p**4 as u*p**4 + i*p**3 + b + f*p**2 + v*p and give u.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1090207 divided by 7\nAnswer: 1090207\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 13 + 2*g**2)*(-3*g + 3*g - g + (-g + 2 - 2)*(-3 - 1 + 2) - 1 + g + 1 + 0*g + 8*g - 4*g).\nAnswer: 12*g**3 + 72*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -3*p + 3115, 2*p - p - 1557 = 2*c. Is c\/(-8) + 2\/(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 1)*(i + 9 - 9)*(3 + 4 - 3).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 33\/(1\/8*4). Let c be (-1)\/4 + t\/8. Suppose -5*y = 10 + 15, -2*y - c = r. Calculate the greatest common factor of r and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 4*s**2 + 3*s + 5. Determine z(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000445853 rounded to seven dps?\nAnswer: 0.0004459","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-5)*c)**(-45)\/(c\/((c\/((c*c*c*c\/((((c\/(c\/c**13))\/c)\/c*c)\/c))\/c))\/c)*c\/c**(-11)*c) assuming c is positive.\nAnswer: c**174","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - b**2 - 2*b + 1. What is the smallest common multiple of 48 and u(-2)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23922003.\nAnswer: 3, 7, 1139143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 17977025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 7*c**2 + c + 428. List the prime factors of a(0).\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) + 0 + 2 - sqrt(112) - sqrt(112) - sqrt(112)) + sqrt(112) - (-1 + sqrt(3087))**2.\nAnswer: -3086 + 38*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3*u**3 + 45*u**2 - 2*u + 34. Calculate i(15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31 - -45. Let k = y + -7. Let b(t) = t**3 - 7*t**2 + 5*t + 1. What is the remainder when b(k) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46206 and 612?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -4*t**3 + 15*t**2 - 5*t + 1. Suppose -7*n + 2*n - 7 = 2*p, 0 = -2*p + 5*n + 23. Let i be y(p). Is 5\/i + (-15044)\/(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 573 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 5529303 + 76781708. Suppose -4*o + 15300000 = -3*g, -4*g - 5*o = 6149519 + j. Round g to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*12.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0042779958 to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 29d + 3?\nAnswer: 2a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21765 + -21161. List the prime factors of u.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 22. What are the prime factors of (w\/(-12))\/(1\/16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 341278714?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z\/(z\/(z**(2\/11)*z)*z))\/z))**(17\/3)*((z**1*z)\/z)**(-19) assuming z is positive.\nAnswer: z**(-287\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 12*m = -100. Find the common denominator of (2\/42)\/(m*4\/4980) and -72\/35.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2110.\nAnswer: 2, 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 813*r**4 + r**2 + 7*r**3 - 25 - 4*r**3 - 814*r**4 to b*r**2 + j*r + l*r**4 + d + i*r**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3206 = 47*j - 789. What is the highest common divisor of 45 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 AM and 8:00 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -802 - -808. Solve 5*o + 31 = t for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -362 + 34*h**3 + 362 - 38*h**3.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*r - 14*r - 15*r + 0*r**2 + r**2 + 3 + 93*r to the form l + j*r + d*r**2 and give j.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5407445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 30\/(-35) + 4875\/(-21). Let t = h - -308. Is t a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1031 - 3?\nAnswer: -1034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 26*i - 2226. Calculate the remainder when 153 is divided by n(88).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 1 = 4*o - 99, 0 = -o + 5*p + 37. Let c be (o\/(-12))\/(2\/72). What is the units digit of (-50)\/15*c\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1047 is divided by 150.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -9711514?\nAnswer: 9711518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**3\/9 - 1232*n**2\/9 + 54718*n\/3 + 902956 = 0.\nAnswer: -38, 327","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3256\/37)\/(2\/(-5)*-10).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -8*k - 7. Calculate h(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 15*b**2 + 55*b + 27. Determine j(-4).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-1)\/n)\/(n\/(n**9*n*n)*n))**(6\/17) assuming n is positive.\nAnswer: n**(48\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -5. Suppose -f = -4*w - 2799, -w + x*f = 40 + 656. Round w to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*i + 4 - 12*i - 4 in the form d*i + m and give d.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14281226?\nAnswer: 2, 491, 14543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -356cb (base 13) in base 15?\nAnswer: -1ded4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -4700*q**6 - 40*q**4 + 46*q**2 - 5*q + 21. Let k(h) = -h**6 - 10*h**4 - h - 1. Let y(w) = a(w) - 4*k(w). What is the third derivative of y(p) wrt p?\nAnswer: -563520*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: d9a21 (base 14) to base 6\nAnswer: 15135341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -283*f**2 - 819*f - 25. Give n(-3).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1826138 - -2?\nAnswer: -1826136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence swws when four letters picked without replacement from scwcscscscwwc?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six sevenths of a week in hours?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 207229 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d. Let t(r) = -511*r + 11562. What is t(p(h))?\nAnswer: -1533*h + 11562","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/11? (a) 3 (b) -4\/5 (c) 977\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 400105227 to the nearest integer?\nAnswer: 737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 41?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1539 take away -2.2230495?\nAnswer: -1536.7769505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 61*p = -84*p + 1233. Put p, 5, 1 in descending order.\nAnswer: p, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*((n\/n**(2\/9))\/n*n)\/n)\/n*n)**16*(((n\/((n*n\/((n*n**(3\/2))\/n*n*n)*n*n*n)\/n))\/n)\/n)**(-2\/35) assuming n is positive.\nAnswer: n**(3947\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/20)\/((-8)\/(-40))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -39 and 0.228?\nAnswer: -8.892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/((-1520)\/(-8)))\/((-3)\/(-12))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 599984?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q**2 + 0*q + 6*q**2 - 8*q + 133*q - 3*q.\nAnswer: 2*q**2 + 122*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59251, -237059, -533405, -948289?\nAnswer: -1481711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 28\/6 + 2\/(-3). Let r be 2*(-11)\/b*(-8)\/4. Suppose 1309 = r*f - 55. List the prime factors of f.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 3*r + 3. Let b be l(3). Is b > -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(1700)*2 + -4).\nAnswer: -120*sqrt(17) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -426?\nAnswer: -2\/213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-9)\/h*h)\/(h*(h**(-3\/13)*h)\/h))\/(h\/(h\/(h**(-2\/51)\/h))*h**(1\/34)) assuming h is positive.\nAnswer: h**(-11615\/1326)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 31915521 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 (base 8) in base 13?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, 4\/7, 2\/5, -4, 4 in ascending order.\nAnswer: -46, -4, 2\/5, 4\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9622.35 - -9346. Let x = 275 + t. What is x rounded to one decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.011355394 rounded to 4 decimal places?\nAnswer: 0.0114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2673 = -1309*v - 11647 - 7759 - 4211 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 8*a - 5*r = -30, -2*a - 3*r = -15. Let f(p) = p**2 - 6. Calculate f(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 241418 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0131826 and -0.3.\nAnswer: -0.00395478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -933\/4, 7, 0.5, -3 in ascending order.\nAnswer: -933\/4, -3, 0.5, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 12*l**3 + 8*l**2 - 20. Let f be y(-6). What is f rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(1 + sqrt(468) + 0)*5)**2 - (4*(sqrt(6292) - (-2*sqrt(6292) + sqrt(6292)))*3)**2.\nAnswer: -3518667 + 2700*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2504374 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 155324 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -104 - -127. Calculate the remainder when d is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 1930.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 1. Let f = 0.6 - -0.4. Let l = f - 0.8. What is the closest to v in -4, 1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - -6 - (1 - 0). What is the tens digit of (-159)\/(-3) - (r - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -2*sqrt(1100)*-6)**2 - (-5 + (4 + 0 + sqrt(11))**2 + -4*sqrt(11)*2).\nAnswer: -1200*sqrt(11) + 158403","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, n: 1, r: 4, q: 4, l: 2, f: 2}. Give prob of sequence nyy.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, a: 1, y: 1, u: 1, k: 1, m: 2}. Give prob of picking 1 m and 1 k.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1174 is divided by 296?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 1875*p - 82. Let h(l) = 5624*l - 287. Let v(d) = -2*h(d) + 7*r(d). Let b(a) = 2*a. Determine v(b(g)).\nAnswer: 3754*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 0.009\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 588 and 36603.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {b: 3, w: 3, s: 6, v: 6}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -5*b - 54. Let o(c) = c + 2. Let j(y) = y + 2. What is b*j(u) + 7*o(u)?\nAnswer: u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3174\/809 or 9?\nAnswer: 3174\/809","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/6 and -51\/6433570.\nAnswer: 19300710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8226.\nAnswer: 2, 3, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 227854?\nAnswer: 2, 11, 10357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -91351 - -1697880. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**5\/4 - 3359*c**4\/4 - 3355*c**3\/2 + 3359*c**2 + 6714*c = 0. Calculate c.\nAnswer: -3357, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -1. Suppose 0 = -3*h - 0*h - 6. Let d(z) be the first derivative of -6*z - 1\/2*z**2 + 31. Give h*d(u) + 10*w(u).\nAnswer: 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47104*y - 23565*y - 23544*y.\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 28\/3 of a hour?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = v + 81. Let w be 1\/3 + 198\/v. Let t = w - -23. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -909594*7\nAnswer: -6367158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 31 (c) -2\/3 (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 - 3 + 11*t)*(2 - 3 + 7).\nAnswer: 66*t + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 304, 607, 910, 1213, 1516, 1819?\n\"Answer: 303*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 8*p + 2. Let m be z(4). Suppose -5*u + 937 = -2*j, 101*j = 4*u + 151*j - 698. Calculate the highest common divisor of m and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -28 and -131.49.\nAnswer: -159.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -8*l**3 - 3*l**2 - 3*l + 3. Suppose -590 + 555 = -7*h. Let k(v) = -15*v**3 - 5*v**2 - 5*v + 5. Determine h*t(p) - 3*k(p).\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*k - 271 + 271.\nAnswer: 32*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2529021601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 2*u**2 + 3. Let i be p(2). Suppose -2*y + 6*y - 2512 = 0. Suppose i*o - 7*o - y = 0. Round o to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/3))**(-26)*(q**(1\/2)\/q)\/q*q*q**(-1\/11)*q)\/((q\/(q*q*(q*q**0)\/q))**(30\/11)\/((q\/(q*q**(4\/3)))\/q*q*q**(-4\/7))) assuming q is positive.\nAnswer: q**(4573\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112055092?\nAnswer: 2, 17, 37, 44537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 + 4*i. Let p be l(3). Let u(t) be the third derivative of t**5\/60 - t**4\/24 + 2*t**3\/3 - 145*t**2. Determine u(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/1626966 and -45\/2299?\nAnswer: 30912354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x**3 - 8*x**2 - 13*x - 3. What is the tens digit of t(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzbbzmzbyyybmyymbzym. What is prob of picking 2 y?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 4440564026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 578406277 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + x**2 - x + 37. What is d(0)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 0. Suppose f*t = 20, t - 10 = -2*j - 1. Is 1*((-135)\/(-3) - j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 662073*h**2 + 904485*h - 2 wrt h?\nAnswer: 1324146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 8457384.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.22423 + -2.22423. Let d = -20.04 - -22. Do d and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nssscnsq. What is prob of picking 1 c and 2 s?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of -11*p**6\/120 - p**5\/60 - p**4\/24 + p**2. Suppose -3*a - 3*m - 3 = 0, 3*a = -3*m + 6*m - 3. Calculate l(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243) - (sqrt(243) + 0))*-3 + sqrt(243) - sqrt(243))**2 + -3 + sqrt(3) + sqrt(48) + 2.\nAnswer: -1 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1261349*i**6 + 1318516*i**2 wrt i?\nAnswer: 151361880*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 86?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wewwaxwhxwxaf. What is prob of sequence xea?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 149*i**2 + 173*i**2 - 511*i**2 + 160*i**2.\nAnswer: -29*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 50, 0 in decreasing order.\nAnswer: 50, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) -4 (c) -34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 145 + -145. Let x = -6 + 13. What is the closest to 0 in b, x, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12620 and 600.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1474393 to the nearest integer?\nAnswer: 1214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of i**4\/6 - 874*i**3\/3 + 190969*i**2 + 674*i. Suppose o(q) = 0. What is q?\nAnswer: 437","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3 + 11*r - 5*r as m*r + j and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1925114944?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103318*m**2 - m - 105093*m**2 + 205733*m**2 + m.\nAnswer: -2678*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30022120 - 11?\nAnswer: -30022131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2648378 is divided by 662092.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 2:10 PM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 123814 (base 13) in base 14?\nAnswer: b5059","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 10 = z + 185, -c + 73 = -3*z. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - 2. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {u: 10, f: 2, s: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -44, -87, -130, -173?\n\"Answer: -43*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(9\/108) - 9. Let h(v) = 625*v**3 + 2*v**2 - 3*v - 7. Is h(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4958 (b) -1\/4 (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 398 - 236. Is m a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1841634819?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, a: 3, k: 4, n: 1, o: 1, j: 4}. What is prob of picking 1 o, 2 i, and 1 a?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 186483560 or 186483559?\nAnswer: 186483560","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 40926911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 16*y + 355. Determine a(-18).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 + 65?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4363 is divided by 38?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 640 = w - 6, -5*s + 3210 = w. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3559112?\nAnswer: 2, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*p - 5096*p**3 - 48*p + 84*p.\nAnswer: -5096*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11870781 and 25917.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*m - 9*m**3 + 6*m**3 - m**2 - 32*m**4 + 12*m + 2*m**3 - 2 in the form f*m**2 + a + t*m + c*m**4 + h*m**3 and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 3*y + 2. Let o be 6\/2*(-4)\/4. Does 13 divide f(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 1384 = -2*z, 1635 + 673 = 5*g + 2*z. What is the least common multiple of 12 and g?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(187) + sqrt(187) + (-2*sqrt(187) + sqrt(187) + sqrt(187) - sqrt(187) - sqrt(187)))*-1)\/(sqrt(44) - -3*sqrt(44)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8468.\nAnswer: 2, 29, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 4*x - 418. Suppose 0 = 3*i - x + 127. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005197 rounded to 7 decimal places?\nAnswer: 0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 1308*o + 207. Let p(w) = -436*w - 73. What is 17*p(q) + 6*v(q)?\nAnswer: 436*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19.83*-869.\nAnswer: 17232.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + (7 - 11) + (13 - 1). Is b bigger than 31\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12522811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 381 minutes before 10:07 PM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: 1 (base 6) to base 15\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5*(4 + 126\/(-35)). Let j(l) = l + 7. Let t be j(-6). Solve 3*k + x*v = -2*v + t, v = k + 9 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 165\/(-297)*99\/15.\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11274, 23026, 34778, 46530, 58282, 70034?\nAnswer: 81786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3928656967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + 1 - (0 + 1 + -5)) + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34317\/1885 + -2\/377. Suppose -5*z - 56 = 3*w + 25, 5*w = 5*z + 105. Let n = x + z. Is n greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(-1)\/o))\/o**(-1\/9)*o*o**(2\/13)\/o*o*o**9 assuming o is positive.\nAnswer: o**(1552\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2535.034 years to decades.\nAnswer: 253.5034","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -5. Let d = -2 - c. Suppose 0 = -4*w - d*w + 20. Solve -4 = m + 3*r, w*r = 4*m - 1 - 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/(-44) - (-8370)\/(-198). Suppose 2*x + 440 + 458 = 0. What is the tens digit of (-7)\/h + x\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 3*t**2 + 12*t + 11. Give g(5).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 p when two letters picked without replacement from dddphpppsdd?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*b*k**4 - 8*b*k**2 + 2*b + 57*k**4 - 336*k**3 + 21*k**2 + 27*k wrt k?\nAnswer: 96*b*k + 1368*k - 2016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (s - 18*s + s)*(2*s + 0*s + 0*s) + (-3 + 3 + 2*s)*(4*s + s - 3*s) as a*s + j + r*s**2 and give r.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57, -26, 55, 210, 463?\nAnswer: 838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.2, 2.017.\nAnswer: -2, -0.2, 2.017","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, u: 1, a: 2, s: 3, d: 7}. What is prob of picking 1 s and 1 a?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -3. Let l(a) = -5*a**2 - 2*a**2 + a**b + 6 + 3*a**2 - 2*a. Suppose -4*y = x + 2*x - 28, 3*y - 3*x = 0. Determine l(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = 9*k - 11*k + 38, 5*k = 4*i + 29 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -10*b. Let q(x) = 1498*x. Calculate q(s(y)).\nAnswer: -14980*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m - 7 - m**2 + m + 2 - 2*m. Let z be h(-4). Sort -0.2, 1\/2, z.\nAnswer: z, -0.2, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 + -0.46. Let l = -0.4002 - -0.0402. Let m = l - t. Which is smaller: m or -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 628 - 308. Suppose 4*l + 0*l + c = 0. Let z = -36 - l. Is z a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -664.8 rounded to the nearest 10?\nAnswer: -660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 5*j**2 - 22*j + 48. What is g(7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-352)\/720*(-3)\/2)\/(588\/1470)?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6193, 23750, 52665, 92938, 144569, 207558, 281905?\n\"Answer: 5679*w**2 + 520*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 104 = 5*c, -w - 2*w = 5*c - 132. 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: What is the closest to 26 in -3\/5, 5, -1985?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 124\/28 - 3\/7. Let r(i) = i - 8*i**3 - i**2 - j*i**2 + 7*i**3. Calculate r(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3\/4 (b) -0.2 (c) -0.03 (d) 3 (e) 896\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -20759.356 rounded to the nearest 10?\nAnswer: -20760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/10629333 and 9\/60566.\nAnswer: 21258666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 - 10*n - 17. Let g be y(-5). Let f(p) = p**3 - 8*p**2 + 5*p - 33. Let a be f(g). Let q(c) = -c**2 + 8*c - 7. Determine q(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 308*w - 10 = 303*w. Suppose 0 = 5*l - 14 - 6. Suppose -l*i = -20, 0*c = w*c - 2*i. Solve -2*a - 3*n - 7 = -26, a = c*n - 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2987674500 minus 0.4?\nAnswer: -2987674500.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + f + 2*f**2)*(f + 2 - 2)*(-1 - 1 + 4) - 50 + 50 + 7*f**3.\nAnswer: 11*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*a - 41*a - 130 = 0 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*3*(sqrt(1200)*-2*5 - sqrt(1200)*-1*-4))**2.\nAnswer: 8467200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -46*j**2. Let a(w) = -2*w**2. Calculate g(a(n)).\nAnswer: -184*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 3) in base 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3506 is divided by 64.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - q - 40. Let c be 2\/5 - 146\/q. Suppose -5*n + 35 + c = 0. What is the least common multiple of n and 9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 7:01 AM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y + 7. Let r be l(-11). Let n be 152\/330 + 6\/r. Which is bigger: n or -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 3.87699?\nAnswer: -19.38495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 k, and 2 v when four letters picked without replacement from vwvvvvkvv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/3 + 120340*f\/3 - 7849408.\nAnswer: -(f - 120144)*(f - 196)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 6801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p**2. Let h(t) = -3594*t. Give a(h(n)).\nAnswer: -25833672*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -8529.\nAnswer: 34116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -1361*q - 3476. Does 4 divide y(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4096084860?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21898 - 21898 + 1119*x)*(2*x + 0*x + 0*x).\nAnswer: 2238*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -9, -541 in decreasing order.\nAnswer: -4, -5, -9, -541","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 10 (b) -5 (c) -107 (d) 0.2 (e) 4.56 (f) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b = 5*u - 14, 0 = -5*b + 2*u + 307 - 304 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 12*m**3 + 2*m**2 + m. Determine r(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3 - 394*j**2 - 2436*j.\nAnswer: 2*j*(j - 203)*(j + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 115, -5, -90 in ascending order.\nAnswer: -90, -5, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 3*f - 36 = 0, -39*i + 13*f + 25 = -39*i + 8*f for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -138304, -276636, -414968, -553300?\nAnswer: -691632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 0.2 (c) -2\/5505\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 + 0.3. Which is the nearest to 0.2? (a) -2\/13 (b) 0.2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0275 - -10.9725. Which is the third biggest value? (a) -2\/9 (b) h (c) -0.3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.129 - 4.871. What is the nearest to -0.8 in k, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 142 = 2*v, -3*v - 57 = -2*o - 2*v. Suppose 4*k = -0*k + o. Suppose -n - k = -9. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 15) to base 13\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 309426 (base 10) to base 7.\nAnswer: 2426055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4286 < 1018?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 4:40 PM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 1. Let m = -35 - -36. Let l be m + (-4)\/((-40)\/(-14)). Which is the nearest to t? (a) -2 (b) 5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 5*q**2 + 8*q + 8. Let x be p(-6). Let t be (-1 - 44\/8)*x. Find the second derivative of 24*l - 2*l**5 - t*l + l**5 wrt l.\nAnswer: -20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/10264912 and -107\/168.\nAnswer: 30794736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*r, 2*r + 20 = 5*p + 4*r. What is the third smallest value in -2, -1\/4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*6\/3 + (76 - -38). Calculate the greatest common divisor of v and 450.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 165 and 132.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -8*i**3 - 3*i**2. Let u(h) be the third derivative of h**6\/8 + h**5\/12 - 4013*h**2. Calculate 3*u(s) + 5*v(s).\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-150)\/(-100))\/(-1 - (-11)\/8). Solve -1 = l*k - 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1430 = -1578490*m + 1578600*m for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*d + 26. Let t = d + 1. Is t even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80 and 496760.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*b - 5*b - 8 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 5*t**2 - 9*t - 3. Let b be z(8). Let i = 22 + -9. Calculate the greatest common factor of i and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/4, -3, -1, 3\/14?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4*2\/(-8))\/(-3 - -4). Let t be v\/9 - 91\/333. Which is greater: t or -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-9))\/((-24)\/36).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + -1)*(11 - 124). Let q = s + -13. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 919*d + 264060 = 939*d. What is the ten thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1110010011100 (base 2) to base 16\nAnswer: 1c9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4 = -0*a. Suppose 4*z - 5*c = -z + 2933370, -a*z + 2*c + 2346696 = 0. Let l = z + -396674. Round l to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (13 - 4)*(-16)\/24 + 13. Solve -3*b = 2*f - 4*f - q, -b - f = 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -353*g + 698*g - 265*g to the form v*g + i and give v.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qh when two letters picked without replacement from lhhlqhlhhllhq?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, h: 2, g: 7, v: 2, e: 1, n: 2}. What is prob of sequence ge?\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b + 502 - 205 + 279 + 117.\nAnswer: 2*b + 693","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -625? (a) -0.02 (b) -5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0381 and 449.\nAnswer: 448.9619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.03, 2.1, -5, 2 in decreasing order.\nAnswer: 3, 2.1, 2, 0.03, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 199.9452km to millimeters.\nAnswer: 199945200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + -2. Let n be 8\/z + 19 - (0 - -1). Calculate the highest common factor of n and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3*r**3 + 27*r**2 + 101*r + 983. Give m(-10).\nAnswer: -327","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1219 + -1217. Let t(n) be the second derivative of 5*n - 1\/5*n**4 + 0 + 6\/5*n**3 - 27\/10*n**h. Find x, given that t(x) = 0.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99789.9l to millilitres.\nAnswer: 99789900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 10:22 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6069 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: In base 3, what is 111012211222212 + 21?\nAnswer: 111012212000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -211\/33 + 63\/11. Which is bigger: -0.11 or w?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.9 + -4.9. Let r = 11 + -18. Which is bigger: h or r?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 3. Let d = -2411\/3 + 7288\/9. What is the common denominator of d and (2\/22)\/(g\/43)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d + 51084 - 163157 = 0. Round d to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (62\/(-186))\/((-1)\/51).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -2*g - g - 78, 0 = u + 2*g - 20. Calculate the greatest common factor of u and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -50*l**3 + 8*l**2 - 3. Let q(f) = -24*f**2 + 33*f**3 + 12 - 18 + 19*f**2 + 8. Calculate -8*q(k) - 5*u(k).\nAnswer: -14*k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 4, 44 in descending order.\nAnswer: 44, 4, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1380640768 a multiple of 2704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + (2 + 0 - 2). Let y be (-35)\/(-15) + p\/(-3). Suppose 3*b - 5 = -y*b. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1924 + -1924.02467. Let d = 16.4 + -16.376. Let l = y + d. Round l to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00016527 rounded to six dps?\nAnswer: 0.000165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**3 + 0*c**3 + c**2 + 3*c**3 - c**2.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**(-1\/2)))**(-21))**5 assuming j is positive.\nAnswer: j**(-105\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2*i = 13, 3*d + 5*i + 5 - 6 = 0. Let s(m) = -m + 9. Let t(f) = -f + 8. Let j be 3\/(-3)*9\/(-6)*-4. Give d*t(x) + j*s(x).\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3.2 (b) -2 (c) 100 (d) 2\/3 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 195*n**2 + 35*n**2 - 50*n + 49*n - 4 to the form w*n + f + s*n**2 and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -118 - -162. Let m(z) = -z - t + 14 + 25. What is m(6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6.1? (a) -26 (b) 1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1917541?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 276*s**4 + 47*s - 307425?\nAnswer: 1104*s**3 + 47","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.4 (b) 0.048 (c) -1\/2 (d) -1.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1299 or -452\/7?\nAnswer: 1299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30100\/5375*(-45)\/4?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h*h*h**5*h))**(-17\/6)*h*h**7*h*((h\/(h\/(h\/h**(1\/10))))\/h)\/h assuming h is positive.\nAnswer: h**(249\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/3)\/((-2)\/(-6)). What are the prime factors of k\/((-2)\/(-20)*2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-87 + f**2 + 88 - 2*f**2)*(107*f**3 + 51*f**3 - 38*f**3).\nAnswer: -120*f**5 + 120*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/3 - 2\/12*28. Let w(v) = v**3 + 4*v**2 - 3*v - 9. Let z be w(p). Suppose z*h = 2*t + 9, 3*t - h - h + 11 = 0. Sort 0.2, t, 5, 0.03.\nAnswer: t, 0.03, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + 2*w**2 - 3*w + 3. Let q be u(2). Let a(r) = r**3 + 3*r**2 + r - 2. Give a(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -26*p**2 + 12 - 4*p**2 + 10*p - 4 + 12. Let i(z) = -10*z**2 + 3*z + 7. Let h(l) = -6*l - 16. Let j be h(-4). Let n(k) = j*i(k) - 3*m(k). Factor n(c).\nAnswer: 2*(c - 1)*(5*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 2*i**2 + 10*i - 116. Let v be o(6). Put 3, v, 0.1, 0.3 in decreasing order.\nAnswer: v, 3, 0.3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 946*y - 6 = 2*o + 950*y, -26 = 5*o - y for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of 1\/24*d**3 + 4*d + 1\/4*d**2 - 1\/48*d**4 + 0. Factor g(l).\nAnswer: -(l - 2)*(l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -9*c + 9. Let m be i(-4). Suppose 55 = 4*r - x, 3*x = 3*r + r - m. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((-15)\/2)*(35 - 29)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 - -8 - (-19 - -15).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 6533*p**2 - 37*p + 38. What is the thousands digit of q(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*l + 3*l - 2*l)*(-1 + 4 + 10) + (-4 + 5 + 2)*(3*l + 3*l - 4*l) + 0 + 0 - 2*l.\nAnswer: -87*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 1299400000 to the nearest 1000000.\nAnswer: 1299000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of 25*t**7\/56 + t**6\/8 - 3*t**5\/5 + t**4\/4 + 26*t + 14. Let x(k) be the first derivative of n(k). Let x(q) = 0. Calculate q.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 182595123?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = n + 46. Let k = n - -31. Suppose -2*i - 2 = -k. What is the highest common factor of 3 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 48 - 44. Let v be 5 + 0\/(-2) - 0. Solve -f = s - v for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5\/4 (b) 3 (c) -0.06 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*c*d**3*q + 2*c*d**2*q*v + 62*c*d**2*q + 3*c - 2*d**3*q*v + 2517*d**3*q + d**2 + 8*v + 2 wrt d?\nAnswer: 30*c*q - 12*q*v + 15102*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/22 - 26\/(-220) and -91\/62.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*q = -232*q - 2054 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of 49*w**3\/6 + 5629*w. Let b(n) = 63*n. Give b(j(f)).\nAnswer: 3087*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 63279 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(567) + 4)*-2)**2*3 - (-6*(sqrt(567) - -4*sqrt(567)) + 2))*-1.\nAnswer: 4536*sqrt(7) + 27976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6050) - (-2*sqrt(6050) + -4)) + 3 + sqrt(50) + sqrt(400)\/(sqrt(16)\/sqrt(2)))**2.\nAnswer: 2450*sqrt(2) + 61299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 19*n + 3*n**2 + 6.\nAnswer: 3*n**2 + 19*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n - 13. What is x(-11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 22*r**3 - 7*r - 3. Let k(c) = 68*c**3 - 20*c - 8. What is -8*i(d) + 3*k(d)?\nAnswer: 28*d**3 - 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (-14 + 5 - -12).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1281\/2? (a) -4 (b) 5 (c) 400\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oossosommsmsssmm. Give prob of sequence sms.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.32 - 56.18. Let h = -60 - a. Sort h, -3\/4, 2.2, -0.3 in increasing order.\nAnswer: -3\/4, -0.3, h, 2.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4 or -0.56?\nAnswer: -0.56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1485765710 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.1 (b) -1840 (c) 2 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -53112 by -237.\nAnswer: 17704\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*k + 0*k + 14*k - 2*k.\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 5*a**2 - 3*a - 4. Let r be w(4). Suppose i - 251 = -r*i. Let k = i - 123. What is the highest common divisor of 16 and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 3*w - 14. Suppose 28 = -5*n - 2. Let s be j(n). Solve -s*u - 8 = -t, 0*t - 2*t + 2*u + 10 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2845066962*z**2 + 2845066962*z**2 + 0 + 2*z**3 + 0.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224 is divided by 87.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 30 = 4*p. Suppose 1584 = 4*x - p*r, -4*x + 2*r + 393 = -3*x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 5:22 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {p: 4, n: 1, w: 2, h: 8}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-208)\/(-520) + 2\/5*4. Suppose 4*t + 8 = 3*x, 3*x - 5*x + b*t = -6. Solve -x*u - 25 + 5 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-43))\/((-980)\/(-10535)) - (-1 - 81\/(-62))?\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 499154694.\nAnswer: 2, 3, 23, 3617063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/2 + 36\/72. Let h = -0.44 - -0.04. Let w = 4.4 + -0.4. Which is the second biggest value? (a) o (b) h (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6571804 is divided by 223.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8 + (0 - -8))*1. Let u(k) be the second derivative of 4\/15*k**6 + 0*k**3 + 0*k**4 - 8*k**2 + 0 + 19*k + m*k**5. What is the derivative of u(a) wrt a?\nAnswer: 32*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-3))\/((-12)\/2934). Let o = 211 + 113. Let u = o + d. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-4)\/((-96)\/(-42))).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/9 + 37\/3. Find y such that 8 + b*y**2 - 4*y - 9*y**2 - 5*y - 2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79434.\nAnswer: 2, 3, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) 0.46717 (c) -22 (d) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -13*(-28)\/1638 + 86\/18. Suppose 4*s = 20, -2*q + t*s = 3*q - 7490. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4*n - 20 = -0*p, -5*p + 5*n = -40. Let j be (3 + -2)*148*1. Suppose -4*o + j = 8. What is the remainder when o is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/27*(788\/80 + -10).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 + 36 + 166*g.\nAnswer: 166*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/25 of a litre in millilitres?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 382*o**2 - 666*o + 38845. What is f(-384)?\nAnswer: -323","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 m when three letters picked without replacement from umme?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2399*l + 193. List the prime factors of k(5).\nAnswer: 2, 11, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -9*i + 3. Let p(x) = 18*x - 5. Let n(u) = -5*l(u) - 3*p(u). Let w(d) = -3*d. Let b(h) = 3*n(h) - 8*w(h). Let y(v) = 0*v - 2*v**2 + 0*v. Give y(b(t)).\nAnswer: -18*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.11 and 0.379?\nAnswer: 0.489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 6:55 AM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 21532*g - 21536*g = -18, -6*g + 32 = -2*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (110 - 13*g - 110)*(9 + 37*g**2 - 9).\nAnswer: -481*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -130 - -133.03. Let g = 1.81 + j. Let i = g - -0.16. Sort -5, i, 1\/2 in decreasing order.\nAnswer: i, 1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -95869*o**3 + 72816*o + 2?\nAnswer: -575214*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7749 > 8657?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 1 (c) -4\/3 (d) -1\/4 (e) 4\/11 (f) 6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 0*a - 201 = 2*a, 2*h + a = 75. Let f(p) = p - 3. Let o be f(3). Suppose o*j = 3*j - h. Is j a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*a - 4, 5*l - 4*a - 2962 = 0. Is 3 a factor of l\/30 + 0 + (-4)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110020110021 + -11?\nAnswer: 110020110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -417 - 271 = 202*f - 30*f. Let z = 1.4 + -1. Sort -0.4, z, f in descending order.\nAnswer: z, -0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-80)*-10*4\/10.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246*k + 725*k = -6*h + 236*k + 244*k + 9 + 23, h - 4*k = -10 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2224.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2909\/6 + -1346\/3. Let b = -36 + d. Let h = 2023.2 + -2023. What is the fourth smallest value in h, 0.4, 5, b?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/64 of a tonne in grams?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 8 = 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m. Let l(j) = -2553*j**2. What is l(n(f))?\nAnswer: -2553*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (196\/(-21))\/(-4) - (-2960)\/30. Let t be (2 - 1) + -3 + -36. Let z = t + r. Does 7 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 5*k - 3. Let x be o(3). Suppose -v + 12 = 3*n + v, 3*n = -3*v + x. Suppose 0 = q - n*t + 2, 2 = -0*t + t. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 + 264 = 18*c. Suppose c*o = -0*o + 250. What is the highest common divisor of 25 and o?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 302 - -410. Let q = 1546 - f. Let t = q + 248. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 689755\/3 < 278?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 16) to base 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16613321?\nAnswer: 457, 36353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-6)\/(2\/12 + 1045\/(-6050)) and 30?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(2\/7))**(-5\/3)\/(c\/(c\/c**4))**(-1\/30))**(3\/13) assuming c is positive.\nAnswer: c**(-211\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-15))\/1 + (-469798)\/690. Let q = z + 1122. Is q a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 38\/40)*-6*(-130)\/(-156).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, s: 2, t: 1, h: 1, a: 4}. What is prob of sequence sth?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -11290770 bigger than -11290786?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i**3 - 3*i**4 + 5*i + 15*i**2 - 4*i**3 - 14*i**2 to z*i**4 + d + j*i**3 + q*i + p*i**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -38391.5332 to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 q when four letters picked without replacement from {x: 1, q: 2, a: 4, b: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 6:22 AM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1657 + -1550. Suppose -5*r = -5*f - 2*r, 2*r - 7 = f. Solve -y**3 - 53 + f*y - 56 + w = 0 for y.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 less than or equal to -509\/325?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -76.81?\nAnswer: 72.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 235 divide 55382633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 34*h - 9. List the prime factors of j(7).\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-24)*4*(-1)\/(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 101619 - 232619. Round o to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -38*a**3 + 13*a**2 + 4*a - 33. Let u be f(-5). Suppose 19*c - 37*c + u = 0. What are the prime factors of c?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56963?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 599763711 to the nearest integer?\nAnswer: 843","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*d**2 - 158164*d + 26360 = 0.\nAnswer: 1\/6, 6590","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 6 = -6*i + 9*i, -2*b = i - 6. Put b, -1, 5, -4 in descending order.\nAnswer: 5, b, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2786624 - 0.2816. What is t rounded to four dps?\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 869869 minus -4?\nAnswer: 869873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of 7*l**5\/60 - 59*l**2 + 11*l. Let i(b) be the second derivative of b**4\/12 + b. Determine i(r(y)).\nAnswer: 49*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = t - 0. What is the remainder when t is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/67456 and 97\/151776.\nAnswer: 607104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175 = -41*i - 52 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyeayeyeee. What is prob of picking 1 e, 1 a, and 1 y?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 (base 8) in base 15?\nAnswer: 11a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 5*p = 0. Suppose -5*t - 4*d + p*d = 73, -t - 5*d - 23 = 0. Is (-80)\/t - 2\/13 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11766 and 222?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 937.82 rounded to the nearest 10?\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - ((-3 - 5) + (-14 - -44)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12*-1)\/4 + 10. Suppose -3*c - k + 16 = 0. Suppose 14 = 3*n - 4*a + c*a, -5*n + 24 = -a. What is the remainder when 19 is divided by n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.268 and 1?\nAnswer: 0.732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*k - 18, 0 = -4*n + 3*k - 33. Let w be (((-16)\/n)\/4)\/(1\/6). Find p such that -1\/3*p**w + 4\/3 + 4\/3*p - 1\/3*p**3 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d + 10. Suppose 6*i - 45 = -3. Let q be x(i). Let -3*l**2 - 43*l**q + 41*l**3 + l**2 = 0. What is l?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 27*g**2 + 36*g. Let v(t) be the third derivative of t**5\/15 + 5*t**4\/24 - 552*t**2. Calculate -5*c(z) + 36*v(z).\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -381068, -763028, -1144988, -1526948, -1908908?\n\"Answer: -381960*v + 892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 495, 158, -105, -294?\nAnswer: -409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4249470410?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2144 (base 12) in base 2?\nAnswer: 111001000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.17, -485.29, -4, -0.3, -0.2 in increasing order.\nAnswer: -485.29, -4, -0.3, -0.2, 0.17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of -1\/6*k**3 + 20*k + 0*k**2 + 0*k**6 + 0 - 4\/7*k**8 + 0*k**7 - 19\/12*k**4 + 0*k**5. Find the third derivative of x(j) wrt j.\nAnswer: -3840*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aarmazzzazzzarzazzr. Give prob of picking 1 a and 1 r.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/((j**(-9)*j)\/j*j*j))\/(j*(j**(11\/2)*j)\/j))\/(((j*j*j\/((j*j**(-10\/3))\/j))\/j)\/(j\/(((j*j*j**(-1\/9)\/j*j)\/j)\/j)*j*j)) assuming j is positive.\nAnswer: j**(5\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 976 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1 + sqrt(304) + 5) - -2*(-2*sqrt(304) + ((sqrt(304) + 0)**2 - sqrt(19)))) + 2.\nAnswer: -22*sqrt(19) + 604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = 4*j - 252, -2597*r + 2594*r + 2*j + 164 = 0 for r.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (17 - 36) + (-88 - -134).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (116\/24)\/((-21)\/(-382)). Let a = 575\/7 - v. Let k(j) = -j**3 - 8*j**2 + 7*j + 9. Calculate the common denominator of k(-9) and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -200 - -203. Find the third derivative of 357*s + 96*s**l + 24 - 2*s**2 - 357*s - 8*s**3 wrt s.\nAnswer: 528","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 - 35*l**2 + 15*l**4 + 80 + 35*l**3 - 15*l = 0. What is l?\nAnswer: -3, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 5*i + 35 = 0, -24*i = t - 21*i + 14 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -150 times 0.14?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -4*o + 3. Let h be w(-3). Suppose -55 = 4*p - h. What is the units digit of (36\/p)\/(6\/(-20))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*g**2 - g**2 + 3*g**2)*(0*g**2 + 2*g**2 - 4*g**2) as o*g**4 + r*g + q*g**2 + k*g**3 + a and give o.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 + (-3)\/((-3)\/2). Let p(a) = a**3 - 6*a**2 + 2. Determine p(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 87047\/993 - 263\/3. Let n = i + -2638\/1655. Is -2 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 11 = -2*a, 0*a + 4*a = 3*w - 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -175 - -175. Let l(s) = -8*s**2 + v*s**3 + 177 - 14*s - 367 + 183 - s**3. Give l(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77734.1nm to centimeters.\nAnswer: 0.00777341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -2*r - 1072, -8*r + 3*r - 259 = -g. Solve g = 7*t + 241 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 4*f + f + 3 = 0, -5*f - 14 = -2*s. Let l be (s\/6)\/(1\/(-2)). Is 0 + l + (-180)\/(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence inn when three letters picked without replacement from {i: 3, n: 8}.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -a - 2\/3*a**3 - 1\/4*a**4 - 16 + a**2. Suppose 4*c + 4*m = 8, -2*c + 12 = -5*m + 43. What is f(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 451887733.\nAnswer: 11, 701, 58603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + -12. Let r = 14 + n. Suppose r*y - y + 1 = 0. Sort 1\/2, y, -2 in descending order.\nAnswer: y, 1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of l**9\/38880 - l**8\/10080 + l**7\/11340 + 13*l**5\/60 - 6*l**2. Let h(s) be the third derivative of u(s). Solve h(q) = 0.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 4 = t, 4*t - 5*q - 29 - 8 = 0. Is 8 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -5*t**3 - t - 1. Let b = -3 - -6. Suppose -b = -o, 2*g - 6 = -0*o + 2*o. Let x(f) = -f + 5. Let c be x(g). What is a(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 2*l - 3*v - 209, -3*v - 321 = -3*l. Is 7 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mala when four letters picked without replacement from cgaaccylmlgggccggc?\nAnswer: 1\/18360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -260, -519, -778, -1037?\n\"Answer: -259*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 + 150*j + 6 - 152*j - 2*j**3 to the form i*j + w*j**3 + m*j**2 + l and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (-11 + 18 - -55)) + (7 - 4) + 10.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12899 (base 11) to base 6\nAnswer: -221031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 759 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-12)\/(-10)*(-10)\/4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 - (-2580 - -18)\/122?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 3*g. Let o(z) = 71167902*z**2. Calculate o(w(v)).\nAnswer: 640511118*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 3 + 2 + 2*v + (0*v + 0*v - 3*v)*(0 - 1 + 2) as f + m*v and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 2*f + 8 = 0, 6*s - s - 36 = 4*f. Suppose 9*r - 115 = s*r. Does 20 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/(-960) + (-38616)\/(-7920) + (-5 - 2 - -1).\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -361.635 - -361.535. Let m = -1 + 1.5. What is the closest to -3 in 6, m, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) - (-5 + 1*sqrt(180)))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -z + 32, 3*z - z - 2*f = 4. Calculate the least common multiple of ((-60)\/105)\/((-1)\/14) and z.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19 + m**3 - 7*m**4 + 9*m**4 - 275415*m**2 + 275412*m**2 - m in the form p + k*m + n*m**4 + s*m**3 + l*m**2 and give p.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - (7 - 3)) + 22. What is the greatest common divisor of u and 209?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of -y**9\/56 + y**5\/20 - 9*y**2\/2 - 6. Let x(d) be the second derivative of r(d). Find the third derivative of x(h) wrt h.\nAnswer: -1080*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c**3 + 3*c**3 - c**5 + 4*c**5 + 0*c**5 - 6*c**5 + (c**5 - 2*c**2 + 2*c**2)*(2 + 2 - 5) - 5*c**5 + 0*c**5 - 3*c**5 - 3*c**5 - 3*c**5 + 4*c**5.\nAnswer: -14*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 631132 (base 7) to base 8\nAnswer: 323654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gbcegcecb. What is prob of picking 3 e?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 423389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14668, -14347, -14026, -13705?\nAnswer: -13384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -5*k + 23, 3*k = -196*s + 193*s + 15 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**3 + 65*f - f**3 + 7*f**2 + 68*f + 4 - 129*f - 3 to the form y*f**3 + x*f + p*f**2 + u and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 4, -2 in descending order.\nAnswer: 11, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13837655, -27675327, -41512999, -55350671, -69188343, -83026015?\nAnswer: -96863687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 29*j**2 + 77*j - 79. What is the remainder when 266 is divided by m(1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -15*i**2 + 773*i + 47. Calculate d(51).\nAnswer: 455","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 9\/10 of a centimeter?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 5*y**2 + 18*y - 2 - 36*y + 19*y. Let p = -7 - -12. What is the units digit of v(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 150 - 148. Suppose -5*w + 44 = -w. Suppose 0 = w*f - 13*f + 32. What is the highest common divisor of f and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44161.\nAnswer: 13, 43, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 - -1. Let n be 3\/(-6)*h\/(-3). Suppose -a - 70 - 147 = -5*x, 0 = -x + n*a + 29. Is 22 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 122444?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (90 + 45 + 2)) + 40?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1575*p + 22723 - 11346 - 11377.\nAnswer: -1575*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32 (base 4) to base 11.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v - 20 = -11*v. Let m(b) = -3*b**2 - 10*b + v*b + 5*b. Give m(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - 4*u + 7. Let m be o(-5). Suppose -m*p = -p - 149. Is p a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2719561 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 61 = -2*m - 7*v, -52 = 2*m - 4*v. Let l = 39 + m. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2 + m**2 + 3*m + 0 + 2. Let d be j(-3). Solve 0 = -h - w - 1, 0 = d*h + 3*w - 7*w - 28 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 10:13 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1419631?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/112 and -15\/133560868.\nAnswer: 534243472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1329499 is divided by 176?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 31, -6\/25, -0.5, -7?\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 60877804 to the nearest integer?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*t - 105*t - 58*t + 202*t + 329*t.\nAnswer: 352*t","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 0*r - 5 = 0. Let u = -4304.4 - -4304. Which is the biggest value? (a) u (b) -1 (c) r (d) 18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4365*u + 2184*u - 19384 + 2180*u - 9478.\nAnswer: -u - 28862","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1479.9 + 1477. What is the nearest to -0.1 in l, -0.5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 - 9) + (-6 - (-9 + 5))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197 is divided by 39.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/120 and -35\/17454?\nAnswer: 349080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r + 4*d - 16, 0 = -3*r - 2918*d + 2917*d + 8 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -669*m + 454*m + 1604975. Calculate the highest common factor of m and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 12, 0*d - 4*l - 15 = 3*d. Let s be 5\/d + 2 + (-3)\/(-2). Which is the nearest to -1? (a) s (b) 2\/7 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 3*d + 5*w + 2, 2*d = 5*w + 29. Suppose 5*u = t + 10*u - 16, 3*u = 2*t + 7. Which is smaller: d or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r + 2*r + 0*r)*(3*r - r + 2*r) - 237 + 32*r**2 + 237.\nAnswer: 20*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -9*k**2 + 26*k + 160. Let r be c(-12). Which is smaller: r or 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, i: 8}. What is prob of sequence ibbi?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 5. Let b(c) = 13*c**3 - 3*c + 2. Let l(j) = j**3 - j + 1. Let m(p) = t*b(p) + 2*l(p). Is m(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/125 and 12\/25.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1020517436?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-46)\/(-4) - 5\/10. Let a(g) = g + 63. Let w be a(-52). Calculate the highest common divisor of w and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.3281696ml?\nAnswer: 0.0003281696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30 - 25. Suppose i*r = 1 + 9. Is 254\/r*(-2 + 3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37923364 = -99*a + 37928215 for a.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316 is divided by 7 - (-1605)\/(-225) - (-242)\/15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 205*d**5 + 72*d**4 + 56*d + 101 wrt d?\nAnswer: 4100*d**3 + 864*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2446 - 2441. Solve -b*w = 411 - 376 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y. Let x(d) = 31*d**2 + 7. What is h(x(i))?\nAnswer: 31*i**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21443 is divided by 223.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 44 + -49. Let l = 208 - 2290\/11. Which is the fourth biggest value? (a) -0.5 (b) 2\/3 (c) l (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 250975120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 716 + -667. Suppose -m - 1 = -14. What is the remainder when j is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -8 (b) 8\/3 (c) -6\/11 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 + 40*u + 163. Give x(-34).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 54 = -2*n, 2*u + n = -2*u + 42. Suppose u = -x - 4*x, 12 = 5*z + 4*x. Solve v + 0*i + 2*i = 4, z*v + 5*i = 16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 2 q, and 1 f when four letters picked without replacement from siiafqrq.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-34)\/(-6) + (-3)\/(-9))\/((-201)\/268).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1173 + -629. Is 32 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cqqh. Give prob of picking 1 h and 1 q.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (24 + (-7486)\/(-76))\/(2\/724)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 5:31 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of 19*f**4\/4 + 19*f**3\/3 + 22. Find the third derivative of a(h) wrt h.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 8488*r - 517. What is the hundreds digit of c(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-2 - 2) - ((-1142910)\/(-95013) + (-4)\/138)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*x + 2519 - 558. Calculate the remainder when 147 is divided by x.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33540384755 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4312675*u**3 + 10593187*u.\nAnswer: 25876050*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 50001.75 kilograms in nanograms?\nAnswer: 50001750000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -14460*g**2 - 21600*g - 200\/3*g**4 - 2\/3*g**5 - 5882\/3*g**3 + 0 = 0. What is g?\nAnswer: -45, -8, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by -4?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2422064077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (38\/(-6)*3)\/(2\/(-6)). Solve -8*i**2 + 57*i**4 + 8 - 4*i**5 - 12*i + 16*i**3 - s*i**4 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 - -1)\/5 + 1. Suppose -w - c + 5 = -14, -l*c - 7 = -w. Is w at most as big as 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*z**3 - z**3 - 3 + 4*z**3)*(0*z + 0*z + 3*z) + 4*z**4 - 14*z**4 - 11*z**3 + 7*z**4 as v*z**2 + y*z**4 + h + r*z**3 + k*z and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x - x**2 + 2*x + 0*x + (0*x + 0*x - x)*(0 + 0 + 2*x) - x**2 - 2 + 2.\nAnswer: -4*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.62 and 1.587?\nAnswer: 2.57094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 17 = 62. Suppose 6*b = d*b - 3609. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -77 + 28 + 53 - 55\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -1\/2, 42, 1\/6, -2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-40)*-2)\/(80\/(-100))\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4262050?\nAnswer: 2, 5, 13, 79, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 208\/468 - 676\/630 and -12\/49.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 48 + x**2 - 2*x**2 - 50. Let b(f) be the third derivative of -f**5\/60 + f**4\/6 + 2*f**3\/3 - 9*f**2. Let y be b(4). Give v(y).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.2 - 1.7. Which is the fourth smallest value? (a) -4\/9 (b) t (c) -0.4 (d) 17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 198 and 330?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1875)\/450 + (-3)\/(-18). Let f(m) = 33*m + 3. Let n(z) = -33*z - 2. Calculate a*n(j) - 3*f(j).\nAnswer: 33*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 294\/(-28)*(-76)\/665.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 202723.619 and 425892.\nAnswer: 628615.619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9649*u**3 + 9600*u**3 + 9674*u**3 - 29052*u**3.\nAnswer: -129*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*u + 970 - 1293 = 0. What is the closest to -0.1 in -0.3, u, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a. What is the units digit of w(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 604 - 60164?\nAnswer: -56260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -146401530 divided by 6?\nAnswer: -24400255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 9 = -30. Suppose -5*i = -k*i. Which is the second smallest value? (a) i (b) 2\/5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32 + -12. Let r = -16 + d. Suppose -2*k - 3*m = -43, -5*k + 6*m = r*m - 60. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 4*k - 77 = 0. Let s = -1 - k. Suppose -j = -x, j + s = 6*j. Calculate the highest common divisor of 6 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 871\/6 - 145. Let n be (2\/(-6))\/(2\/(-3)). Determine s so that y*s**4 + n*s**3 - 1\/3 - 1\/2*s + 1\/6*s**2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(360\/25)*-6\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16940 * 0.2.\nAnswer: -3388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + 1. Suppose -2*h + 98 = 5*y + 9, 0 = -3*y - f*h + 42. Suppose 0 = -2*v + 4*j - y + 7, -3*v - 3*j + 27 = 0. Solve -v = 2*z - 3*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 504\/672*(-8)\/1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*h - 4*h - 90. What is the lowest common multiple of h and 50?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (r**2 + r**2 + 0*r**2)*(-33 - 94*r - 16 + 3 + 71) to v*r + l*r**3 + a*r**2 + n and give l.\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 8 - 7 = -4*u, 2*v + 3*u = 25. Sort -4, v, -23 in ascending order.\nAnswer: -23, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 2:54 PM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 28 = -5*i, 5*s - i + 6*i - 40 = 0. Let v(q) = -5*q**3 - 2*q**2 - 4*q. Let c(g) = -g**3 - g. Give s*c(l) - v(l).\nAnswer: 2*l**3 + 2*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 257774723 to the nearest integer?\nAnswer: 16055","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9\/4 (b) 161\/4 (c) -0.1 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 0.05179?\nAnswer: -0.20716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p and 1 w when four letters picked without replacement from cpccpcccpwcwccc.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 1425, -2, 4, -423.\nAnswer: -423, -2, 0, 3, 4, 1425","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10152*f + 11678*f**2 + 10152*f to u*f**2 + r + a*f and give u.\nAnswer: 11678","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.49 + 1.2. Let y = 1.29 + z. Let m = y - 1.1. Which is the nearest to m? (a) -5 (b) -1\/8 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23\/3 + 8. Let u(y) = -5*y**3 + 4*y**2 + 3*y - 2. Let k be u(4). Let q be (-6)\/8 - k\/264. Which is the closest to x? (a) -5 (b) q (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -787 - 1105*f**4 + 1455*f**4 - 650*f**4 wrt f?\nAnswer: -1200*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-66)\/(-55))*1*(-2)\/20\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 353, 350, 347, 344, 341?\nAnswer: 338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 17b7 - -b64d?\nAnswer: d026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**2*k)**(3\/10)*k**7*k\/k**(-7)*(k**(-2))**(-50)*k**(1\/2)\/(k*k*k\/k**(1\/2)) assuming k is positive.\nAnswer: k**(1139\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -3665, -6, 8 in descending order.\nAnswer: 8, -6, -14, -3665","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4*h + 12 = 2*h, -3*r = -5*h - 36. Suppose 0 = 4*g + 2*b + 2 + 4, -r = g + 4*b. Solve g = -n - 0 + 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5140426*o**2 - 3502097 wrt o?\nAnswer: -10280852*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 36147045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 4 - 1 + 3 + 3 - 5 + (-5 + 4 - 2)*(-3 - 3 + 4) - 2 - 3 + 4 + (-5 + 4 + 0)*(-1 - 1 + 0) - 1 - 3 - 2)*(-v + 7*v + v) as n*v + f and give n.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7.965494 millennia?\nAnswer: 7965.494","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**0\/q)\/q*q)**(-16))**(2\/37) assuming q is positive.\nAnswer: q**(32\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*t**3 + 2*t - 5094 - 409*t**2 + 5094 - 12*t**3 - 3*t.\nAnswer: -21*t**3 - 409*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1.53209958 + -190\nAnswer: -188.46790042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5 + sqrt(7) + (0 + sqrt(7))*-4.\nAnswer: -3*sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31654419?\nAnswer: 3, 41, 257353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 - (28 + (13 - 50) - (2 - 15))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of g**4 - g**3 - 27819*g**2 + 4*g + 736556 wrt g?\nAnswer: 4*g**3 - 3*g**2 - 55638*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 151 - (-2)\/(1 + 1). Let h = -15307 - -15335. Suppose 2*x + h = m. What is the remainder when x is divided by 34?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -490*j*y**3 - 2*j*y**2 - 198*j wrt y.\nAnswer: -2940*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 41 = -k - 4*k, -5*j + 88 = -2*k. Calculate the greatest common divisor of j and 153.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 4*l, 2*l + 3*l + 9 = -4*r. Let y = 74 - 72. Solve y = g + r for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 5*w + 4 - 3, 0 = n + w - 3. Solve 5*g = t - 0 - 4, n*t - 5*g = 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -109 + 113. Put -9, 0.5, r, 0.1 in increasing order.\nAnswer: -9, 0.1, 0.5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -108 + 106. Which is the smallest value? (a) -0.1 (b) h (c) -3 (d) -0.23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(75) - sqrt(75) - sqrt(75)) + 0 + sqrt(75) + -1*sqrt(75) + 1)**2.\nAnswer: 30*sqrt(3) + 676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16)\/12*3\/(-1). Let y be (3 + -6)\/((-42)\/l). Put -0.4, -3, y in increasing order.\nAnswer: -3, -0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 7 = 4*p, -y + 5*y + 5*p - 5 = 0. Solve 3*o = y*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 10:02 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 - -60. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 171167212?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of 16*t**5\/5 - 36*t - 16. What is the first derivative of w(g) wrt g?\nAnswer: 64*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*y - 1 = -44*y. Let q be (0 - 0)*y\/(-2) + 3. Solve b = q*b + 6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6941 - 4010. Suppose -z = -4*z + k. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 303859514?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246601 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -5 + (4*sqrt(114))\/sqrt(6).\nAnswer: -9 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6454499*t - 2957121 wrt t.\nAnswer: 6454499","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 - 8. Suppose w - 24 = -j. Suppose 13*t - w*t - 171 = 0. What are the prime factors of t?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-79 + 1759 - 431 - 305 + 3*r)*(1 - 1 - r**2).\nAnswer: -3*r**3 - 944*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.2 or 33049?\nAnswer: 33049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -12*2*(-40)\/60. Let g = f - -166. What is g rounded to the nearest 10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.2 + 1.2. Let h be 1\/3*0 + 3. Which is the second smallest value? (a) h (b) q (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1704, 3723, 6054, 8703, 11676, 14979, 18618?\n\"Answer: n**3 + 150*n**2 + 1562*n - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 36\/37 + -1 - (-857979)\/(-42957)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z + 482 + 400 = 42*z for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20255 is divided by 782.\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 25\/4 of a microgram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 4*r, 0 = 4*f - 3*r + 288. What is the common denominator of 259\/f + 6\/27 and -49\/22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 716.46525ms?\nAnswer: 0.000199018125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 4*u - 49. What is the remainder when u is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2415 divided by 483.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 - (-89 + 91) - 6?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -0*w - 5*h + 23, 3*h - 9 = w. Suppose n = 5*n + 3*z, 0 = w*z. Solve -y - 4*y = n for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10066.\nAnswer: 2, 7, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u + 18 = -3*u. Suppose -34 = -5*s + 2*c, -2*s + 3 - 1 = 5*c. Suppose s*n**u + 3*n - 2*n**4 - 1\/2 - 13\/2*n**2 = 0. What is n?\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 6006382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of 0*r**3 + 1\/336*r**8 + 1\/30*r**5 + 0*r**4 + 2\/105*r**7 + 0 + 0*r + 1\/24*r**6 + 4*r**2. Solve n(w) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - 3)\/((-3)\/(-3)). Let o be 2 + 4\/7*x. Let n = 16 + -13. Which is the closest to o? (a) -4 (b) n (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 - 19 - 1239*j + 61 - 20.\nAnswer: -1239*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17? (a) -1 (b) -1214 (c) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -307 + 311. Let d be (-2)\/3 + (-4)\/(-6). Solve d = y + 3*r + 14, l*y + 3*r = -27 - 2 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 25, 144, 3, -3, 9, -2.\nAnswer: -3, -2, 1, 3, 9, 25, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -26*o + 22*o. Let k(f) be the first derivative of 0*f**2 - 3 - 3\/4*f**4 + 0*f + 2\/3*f**o. Find the third derivative of k(a) wrt a.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 2236809?\nAnswer: 2\/2236809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**2\/17 - 168*m\/17 + 3528\/17 = 0. What is m?\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 3. Let b(d) be the third derivative of 1\/120*d**6 + 0 + 13*d**2 + 0*d**5 + 0*d**4 + 1\/3*d**3 + 0*d. Give 6*b(x) + 4*j(x).\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -984 - -398. Let p = f + 1987. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2. Suppose 3*u + 2*k = 2, u = -0*u - k. Let f(c) = -6*c + 3*c**u + 6*c. Determine a(f(l)).\nAnswer: -9*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4104)\/2835)\/38*(-35)\/28?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 > -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -16, -29, -42, -55, -68, -81?\n\"Answer: -13*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2344, -5054, -7764, -10474, -13184?\n\"Answer: -2710*o + 366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 12 = 3*l. Let v = 6 - l. Solve 2*w - v*p - 2 = 0, 3*p = 5*w - 0 - 3 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/7, -3, 2, 63494, 1\/26, -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of r**8\/3360 + r**7\/315 - 7*r**6\/360 - r**5\/6 - 27*r**4\/4 + 80*r - 1. Let m(c) be the third derivative of i(c). Factor m(k).\nAnswer: 2*(k - 2)*(k + 1)*(k + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2 + sqrt(35)\/(sqrt(25)\/(sqrt(40)\/sqrt(8))) + 0)*-5 + -1.\nAnswer: -41 + 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 9:23 PM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -193700, -193696, -193690, -193682, -193672, -193660, -193646?\nAnswer: -193630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4824 and 6396.\nAnswer: 2571192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -10457*i - 9421744. Calculate u(-901).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + v - 2*d = 85, 85 = 5*v + d. Suppose -5*a - 4*b = -v, b + 0*b + 12 = 2*a. Suppose 0 = -5*p + 4*i + 283, a*p - 228 = p + 4*i. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118254221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -a76?\nAnswer: a71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 20*z - 11*z - 12*z + 4*z. Let p(n) = 9*n + 5. Let s(v) = -36*v - 21. Let g(t) = -21*p(t) - 5*s(t). What is l(g(y))?\nAnswer: -9*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0107945757 to 4 dps.\nAnswer: 0.0108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from prruruuruyypprpppr. Give prob of picking 2 y.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of 25*s**4\/4 + 2*s**3\/3 - s + 22. Let g be (-2)\/9 - (-22)\/18. Does 7 divide z(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - b + 30. Let o = -6 - -6. Let c be i(o). What is the greatest common factor of 10 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**3\/5 + 348*j**2\/5 - 342*j\/5 - 692\/5 = 0. Calculate j.\nAnswer: -1, 2, 173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 60 = 4*l, 2*x = -2*l - 3*l - 75. Let y(g) = g**2 + 17*g + 31. Let s be y(l). Sort 5, s, 4, -1 in ascending order.\nAnswer: -1, s, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 1, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17285327 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 14 = -3*t + 1, a - 3*t = 21. Let f(w) = 8*w - 32. Is f(a) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*p + 6 = -3*f - 122*p, -3*f - 2*p - 4 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4*(1\/(-2) - -2). Let h(k) = -k**2 - 5*k + 54. Let n be h(0). Calculate the greatest common factor of w and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from wwjdwddjw.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -962.3478 - 16432.8132. Let y = w - -17385. Let h = y - -10.1. Round h to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 21\/5 of a day?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1173 is divided by 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19345 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/(sqrt(7)*1))\/(2*sqrt(9)*-1 + sqrt(9))*-2 + -2 + sqrt(512)*-3 + (sqrt(128))**2*-4.\nAnswer: -514 - 46*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -556 + 542. Let m = 32.6 + -33. Which is the nearest to -2\/7? (a) 0.2 (b) -0.5 (c) m (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 t when two letters picked without replacement from utgtt?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -4\/9, 20, 0?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 17*r**2 + 45. Let h(n) = -n**2. Let x(c) = h(c) + k(c). Differentiate x(g) wrt g.\nAnswer: 32*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 16*w**2 - 66*w + 20. Determine a(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -90461, -90473, -90485, -90497, -90509, -90521?\nAnswer: -90533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1910.0788177 - 0.1441823. Let b = 1911 + m. Round b to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, f: 6, k: 2, d: 2, r: 4}. Give prob of sequence kd.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.755 * -0.1\nAnswer: -0.0755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4\/11, 1, -0.15, 1\/12 in increasing order.\nAnswer: -4\/11, -0.15, 1\/12, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*d**2 + 2*d**2 - 15*d**2)*(4*d - 3*d - 2*d).\nAnswer: 25*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*v**5 + 391*v**4 - 391*v**4)*(-1 + 0 - 1).\nAnswer: -44*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 2*a + 13 = 0, -3*g - 3 - 10 = 4*a for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1509 + -1507. Let n be -3*((-4)\/2 + 1). Let i(s) = n*s - 8 + 2*s**p + 17 - 12. What is i(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -514.45629 rounded to zero decimal places?\nAnswer: -514","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 195731 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 122*p - 1. Let z be u(1). What is the hundreds digit of (-10)\/6*3 + z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1556621 by -14.\nAnswer: -1556621\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23351 (base 6) to base 14.\nAnswer: 1335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 909411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = r - 13, 134*r = 3*k + 129*r + 9 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 2*a + 0*a - 198 = 0, 3*q = 3*a - 126. Let j = q - -45. Solve 2*d + 2*l = -3*d + j, -2*l - 11 = -d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millimeter in micrometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 305*m**2 + 49107*m + 329. Give g(-161).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 184 divide 5372064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(76) - sqrt(76)*1) + sqrt(76))\/(4*sqrt(16))*6.\nAnswer: 3*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 1855148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 6:00 AM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28728, 28588, 28448, 28308, 28168?\nAnswer: 28028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 578 - 577.8. What is the nearest to 2 in -4, w, -14, -0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2. Let f(t) = 2*t - 120. Determine -f(v) + s(v).\nAnswer: -2*v + 118","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 14)*(4 + 16*d - 9*d + 0*d).\nAnswer: -84*d - 48","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 224889873?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, b: 2, c: 1}. Give prob of picking 2 b and 1 o.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 914567.\nAnswer: 43, 21269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 17. Solve 39*m = 36*m - i for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*m**2 + 8*m**2 - 3*m**5 - 8*m**2 + 0*m**5 wrt m.\nAnswer: -180*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2496, -4, 7, -2, 16 in decreasing order.\nAnswer: 2496, 16, 7, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -17061 (base 8) in base 13?\nAnswer: -3697","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 PM and 3:36 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 8*m - 7*m + 74 = 0, 0 = -4*z - m + 70. Factor 4*s**2 - z*s + 33*s - 9*s**3 + 38*s**2.\nAnswer: -3*s*(s - 5)*(3*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (18 - 12 - (0 + 8))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -402 - 102436?\nAnswer: -103141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23 + -1003312011231?\nAnswer: -1003312011202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 538 a factor of 83890340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 58, -35, -128?\n\"Answer: -93*s + 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 156249 to the nearest integer?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 65594, -4 in descending order.\nAnswer: 65594, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/(sqrt(8)\/sqrt(4)) - (sqrt(19) + 2 + 3) - (2 + -2 + sqrt(931))**2*-1.\nAnswer: 926","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -8575*o - 5. Let n(s) = 94328*s + 57. Give -2*n(f) - 23*y(f).\nAnswer: 8569*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -u + 4*p, -5*u + 0*u + 2*p = -23. Let j = u - 2. Let k = 1 + j. Solve -23 = 5*v - l, -k*v + 2*l = 1 + 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 416298 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 938?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 500 and 59725.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 1 - 1)*(-11*m - 97 + 97).\nAnswer: 11*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -49*u. Let d(w) = -w - 5. Let o(f) = -1. Let r(v) = d(v) - 5*o(v). Determine r(b(y)).\nAnswer: 49*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 379 + 1264. Let d = 2503 - y. Is d a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*h**4 + 8*h**4 + 3*h**4)*(0*h - h + 2*h)*(-2 - 1 + 5).\nAnswer: 68*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*l**2*v**2 + 7878777*l*v**3 + 8*v**3 + 820*v**2 + 6*v + 1 wrt l?\nAnswer: 4*l*v**2 + 7878777*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 24328889?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 387, 1108, 3065, 6876, 13159, 22532, 35613, 53020?\n\"Answer: 103*j**3 + 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 69 and -6.3.\nAnswer: -434.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (78\/(-18))\/(-3*1\/54). Calculate the highest common factor of 26 and y.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - 8. Suppose z - 5*z = -2*j - 680, -3*j + u*z = 1015. Let f be (168000\/27*-15)\/((-4)\/j). What is f rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 + -19. Find the third derivative of 9*n**6 + 33*n**5 - 33*n**x - 10*n**2 wrt n.\nAnswer: 1080*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204 = 197*p - 203*p. Calculate the remainder when 371 is divided by p.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 640*p + 1. Is z(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 236487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 241291956 divided by 249?\nAnswer: 969044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34740565.\nAnswer: 5, 6948113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*c**5 - 11*c**2 - 632*c - 1?\nAnswer: -200*c**3 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/2 + 18451*y**2 + 2578021*y\/2 - 4033104.\nAnswer: (y - 3)*(y + 73)*(y + 36832)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 2 = -10*l - 2*y, -2*l + 4*y + 28 = 0. Determine x so that 2\/11*x**4 + 30\/11*x**l - 18\/11*x**3 + 50\/11*x + 0 = 0.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - j + 8. Solve q + 21 = -j*x - 4*q, -3*x = 2*q + 15 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 648*n - 325*n = 350*n - 459 for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - 14*v - 1. Let n be m(-14). Let s be n + 2 + 30\/(-42). Which is the nearest to -1\/2? (a) -2\/9 (b) -0.1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2364132, 2364124, 2364104, 2364066, 2364004, 2363912?\n\"Answer: -n**3 - n + 2364134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 bigger than 161?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 1. Let d(j) = -j**2 - 6*j + 1. Let o(v) = -d(v) - 4*t(v). What is o(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143747769?\nAnswer: 3, 11, 23, 189391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 238714 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 53069*c**2 + 20*c + 9. Let d(i) = 132672*i**2 + 50*i + 22. Let b(t) = -5*d(t) + 12*l(t). Let f be b(-7). What is f rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 - -51. Let t = q - 8. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -y + 11. Let t = y + -20. What is the highest common divisor of t and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 19126*q = -19122*q + 79, 8*y - 279 = -3*q for y.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z + 7*z + 2*p + 2 = 0, -p = -49*z + 100 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 9*y**2 - 7*y. Let k be (-37)\/4 - -2 - (-2)\/8. Let v(b) = 13*b**2 - 10*b. Give k*q(s) + 5*v(s).\nAnswer: 2*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 25 in -3\/2, 3\/5, 6\/13, -4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24867140?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -5*r**2 - r + 7. Let j(v) = 9*v**2 + 2*v - 14. What is -11*f(q) - 6*j(q)?\nAnswer: q**2 - q + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 5*i - 45 - 0, 3*i + 4*s - 44 = 0. Let k = i + -6. Suppose -k = -2*j + j. Solve j = 5*x + 12 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 6*x**2 + x - 7. Calculate g(-7).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 199081072999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/18 (b) 5\/3 (c) -14.7 (d) -0.0873\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -778?\nAnswer: 233.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -2*l**5 - 25926*l**4 - 388372*l**3 + 880464*l**2 = 0?\nAnswer: -12948, -17, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 - -27. What is the least common multiple of q and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of -k**7\/210 + k**6\/45 - k**3\/3 + 8*k**2. Let l(t) be the first derivative of y(t). What is the third derivative of l(w) wrt w?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*w - 72 = 32*w. Let y(h) = h**2 - h + 1. Let o(g) = -5*g**2 - 4*g + 3. Let x(t) = -o(t) - 4*y(t). What are the prime factors of x(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 160962.9t?\nAnswer: 160962900000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of -f**4\/12 + 8*f**3\/3 + 3*f**2\/2 + 7*f. Let p be q(16). Suppose 2*s - 33 = p. Does 6 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/10 in 1\/3, -0.2, 3.86, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*d + 839*d**2 - 414*d**2 - 424*d**2.\nAnswer: d**2 + 47*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55 (base 6) to base 11.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 8268 + 81200 = 5*l, 2*l + 97260 = 4*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a*m**2 - 2*a*m + 12224432*a - 1470007*m**2 - m - 2 wrt m.\nAnswer: 4*a*m - 2*a - 2940014*m - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s + 12. Let v be u(-22). What is the remainder when (2\/2)\/(v\/(-680)) is divided by 37?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 3, 3478, 9 in decreasing order.\nAnswer: 3478, 26, 9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 8 (b) 5 (c) 3.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 109 and 59326847?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 301271.\nAnswer: 73, 4127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q + 4*u, -257*q + 261*q = 3*u for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**4\/(v*v**(1\/4)))\/(v**(3\/2)\/((v**(2\/5)\/v)\/v)) assuming v is positive.\nAnswer: v**(-7\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4933\/13290 + (-2)\/(-12). Let f = 2\/443 - c. Let b = f - -1\/3. Which is bigger: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*w - 12 = -33*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 73*w**5 - 52793*w**4\/7 - 36514*w**3\/7 + 1040*w**2\/7 = 0.\nAnswer: -5\/7, 0, 2\/73, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -227 - -272. Let z(u) = -14*u - 6*u + b*u. Let p(l) = -l. What is z(p(w))?\nAnswer: -25*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/29750 and 53\/39984.\nAnswer: 4998000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*m**2*s**2 - 3*m**2 - 101*m*s**2 - 125*s wrt s?\nAnswer: 12*m**2 - 202*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 218.82492 rounded to the nearest 10?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 91, 361, 813, 1447, 2263, 3261?\n\"Answer: 91*k**2 - 3*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-1\/2)\/(o*o**(4\/3)) assuming o is positive.\nAnswer: o**(-17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1224 = -22*x + 16*x. Let f = x + -165. Does 30 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40359?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-6))\/((-1)\/15). Solve -k*g + 0*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - -11 - -14 - (-224 + 301) - (13 - 0).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 446364 and 1404.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14304000 rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 4*v = 0, 6*q + 8 = 7*q + 4*v for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -1\/107721 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of 2\/3*g**3 + 1\/10*g**6 - 2*g**2 + 0*g - 2\/15*g**5 - 1\/4*g**4 - 1\/56*g**8 + 2\/105*g**7 + 0. Let s(r) = 0. Calculate r.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 7 - 20 = -r, -4*r = 5*m + 23. Let q(w) = w**3 + 10*w**2 + 8*w - 8. Let y be q(-9). Sort -1, r, y.\nAnswer: r, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.293069 millimeters in micrometers?\nAnswer: 5293.069","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 471241 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -7*y**2\/2 - 3*y - 3. Suppose 4*h + 11 = -0*l + l, -4*h + 4*l - 8 = 0. What is the tens digit of x(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 40631599 to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(252)*2 + 4 - 5*(((sqrt(252) - 2*sqrt(252)) + sqrt(252))**2 - sqrt(252))) + (2*sqrt(252)*2 + 2*sqrt(252) + -3)**2.\nAnswer: -174*sqrt(7) + 9087","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 295\/(-4)*(-12 + 4). Suppose 7*h = -2*i + 2*h + 635, -2*i + 4*h = -n. Suppose -2*w + 5*g + i = 3*w, -g = -4. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -138*k**3 + k**2 - 156*k?\nAnswer: -828*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2858.512 days?\nAnswer: 246975436.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00198845597 to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7006.627 minutes in nanoseconds?\nAnswer: 420397620000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -28 (b) -5 (c) -3\/5 (d) 5 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) + sqrt(72)\/sqrt(4) + sqrt(18) - sqrt(18))\/sqrt(6) + -5 + 3 + 4.\nAnswer: 2 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210*l = -1257*l + 6282 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 12*d = 15. Suppose 0 = -d*l + 79 + 17. Calculate the lowest common multiple of 22 and l.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - 3. Let r(x) = x**3 - 8*x**2 + 2*x - 12. Let v(i) = -r(i) + 4*t(i). Let g(p) = 10*p**2. Let n be g(-1). Let m = -7 + n. Determine v(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*d - 40*d + 12 = -5*r, -6*r - 5*d - 34 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1445*l - 1450*l + 20. Solve -1 = -s - m, -l*m - 6 = -3*s - 6*m for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 283, 568, 853, 1138, 1423?\nAnswer: 1708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -250 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -8, 1\/5, 1, -291909?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 548715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 2*r - 7*r - 5 = 0, -16 = -4*r for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/169 + 7378\/(-1274))\/((-4)\/42)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9545121 minus 20?\nAnswer: 9545101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -y + 64, 3*g + 0*y + 2*y - 37 = 0. Let v = g - 10. Suppose 1\/2*d**2 + 1\/4*d + 0 + 1\/4*d**v = 0. What is d?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 17 - 6 + u**3 - 4 in the form n*u**2 + p*u + l + z*u**3 and give l.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 4*z = 0, 3*z = -5*b - z + 14 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(24)\/((sqrt(128)\/sqrt(4))\/sqrt(4)) - ((-1*sqrt(6))\/sqrt(2) + sqrt(3) + sqrt(12)\/sqrt(64))))**2.\nAnswer: 9*sqrt(3)\/2 + 171\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**5\/9 - 5*u**4\/9 - 8*u**3\/9 - 4*u**2\/9 = 0. Calculate u.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 16*b. Let o(c) = -5413*c + 2794. Determine o(y(x)).\nAnswer: -86608*x + 2794","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = r - 5*v, 3*r + 3*v - 7 = 20. Suppose 4*n - r = 6. Suppose n*m - 7*m + 27 = 0. Calculate the highest common divisor of 27 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ceqqqeqceeceece. Give prob of picking 1 e and 1 c.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1927 <= -1928?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -1 - (7 - (0 - (-3 + 0)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 2 - 43*s**2 + 17.\nAnswer: -43*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3726 and 29322.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 955816 and 1880.\nAnswer: 224616760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**2\/2 - 42709*b\/2 + 64068 = 0.\nAnswer: -42712, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 - -19. Is w at most -12\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffkfkffffffkffffff. What is prob of picking 3 f and 1 k?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4460 divided by -1\nAnswer: -4460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 13. Let w(j) = j + 7. Let f be w(-6). Suppose z - f - n = 0. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.797536071 rounded to two decimal places?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 127*o**2 - 2*o + 341. Let z(n) = 69*n**2 - n + 170. What is 6*f(a) - 11*z(a)?\nAnswer: 3*a**2 - a + 176","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -188*n + 1298*n**2 + 201*n - 17*n to the form g*n**2 + f + s*n and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 greater than 128?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 4 + 7 + -18.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z**4 - 1600*z**3 - 61165*z**2 + 194770*z - 132000 = 0. Calculate z.\nAnswer: -275, -48, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1668*i - 3330*i + 1660*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 315016483?\nAnswer: 37, 230107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f + f**4 - 50 - f**3 + 50 to g*f + s*f**3 + u + j*f**2 + n*f**4 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from errkekddr. Give prob of sequence kdd.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrreeereeeerr. Give prob of sequence re.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*f**2 - 3 + 3)*(0*f**2 - 2*f**2 + f**2) - 3 + 7*f**4 + 3 + f**2 + 2*f**4 - f**2 to s*f**2 + z*f + h*f**4 + r*f**3 + p and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + 5*i**2 - i + 20. Give o(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**4 + 11*u**3 - 32*u**2 + 28*u = 0. Calculate u.\nAnswer: 0, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 5*f - 71, f - 27 = 12*q - 8*q. Suppose 3*v - v = 166. Suppose -2*y + 5*j = -201, j = y + 2*j - v. What is the greatest common factor of f and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/7 or -3427595\/2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**6)**(-4)*c**(-4)\/((c**(-13)*c)\/c))**32 assuming c is positive.\nAnswer: c**928","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -61, 317, 691, 1061, 1427, 1789, 2147?\n\"Answer: -2*t**2 + 384*t - 443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 39*q + 140. Is 80 a factor of 1035 + 0 - (-1 + q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 3) in base 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.7, 202, 35, -132?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.048*-0.72\nAnswer: 0.03456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -7 + 7 - (-2 + -2). Suppose 5*y + m - 20 = -2*h, -2*y - 24 = -3*h. Solve 0 = 3*i + 1 + h for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 2*o = -38, -5*l + 52 = o + 6. Suppose -3*y - 41862 = -l*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-4 - -3 - -8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 x when three letters picked without replacement from {c: 6, x: 6, f: 3, e: 4}.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36 - 26. What is the least common multiple of 6 and o?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/11120256 and -163\/4517604.\nAnswer: 144563328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 351 and 26?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + 0. Suppose o - x*v + 2*v + 19 = 0, -4*v + 57 = -3*o. Let m = 29 + o. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16510 != -16510?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*b, 5*h = 3*b + b + 45. Let m(j) = 2*j - 2. Let v be m(4). Suppose n = d + v, n - 16 = h*d + 2. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1066 a factor of 66145300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**4\/5 + 13392*n**3\/5 + 22283726*n**2\/5 - 450791352*n\/5 + 428494232\/5 = 0. What is n?\nAnswer: -3358, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-6 - 1 - -1) + 4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 10 = 0, 25 = -12*f + 11*f - 5*c for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**4 + 20*b**3 - 3725*b**2 + 14260*b.\nAnswer: 5*b*(b - 23)*(b - 4)*(b + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1800, 1, -2, -29, -1 in decreasing order.\nAnswer: 1800, 1, -1, -2, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 5*f = 336990010, -3*s - 18850268 - 318139738 = 3*f. Round s to the nearest 1000000.\nAnswer: -112000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(8\/3)*t\/t**(5\/2))\/((t*((t*t**(-10)*t*t)\/t)\/t)\/(t*t**(-10))))**(-1\/62) assuming t is positive.\nAnswer: t**(-1\/372)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5234 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*f + 10176 = 3520. Suppose 2*z - 21 - 31 = 0. What is the greatest common divisor of z and f?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that j**4 - 3857*j**3\/2 + 898644*j**2 + 30283960*j - 15366400 = 0.\nAnswer: -32, 1\/2, 980","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 403?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -349, -0.03, -4, -4.6.\nAnswer: -349, -4.6, -4, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -4, -2\/9, 3, 0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -85063*d - 425227. Determine s(-5).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-28)\/(-6) - 4\/6 and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4\/25 - -1\/150. Put 4, a, -4 in increasing order.\nAnswer: -4, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 8:37 PM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**3 + y**3 - 4*y**4 + (-3*y - 11*y + 18*y)*(3*y**3 - 7*y + 7*y) + y**4 - 3*y**4 + 3*y**4.\nAnswer: 9*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12656*d*v**5 - 3057*d*v - 2*d wrt v?\nAnswer: 253120*d*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 368954?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19813\/7 - -2837. What is the common denominator of ((-21)\/(-60))\/((-2)\/28) and u?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*n = -25*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 3*a**3\/2 + 11577*a**2\/2 + 46230*a + 69318 = 0.\nAnswer: -3851, -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*o*t**4 + 2*o*t**3 - o - 8*t**5 + 21*t**2 + 2 wrt t.\nAnswer: -288*o*t + 12*o - 480*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10.2 - 8. Let i = b - 2.6. Let d be (12\/20)\/((-3)\/(-15)). Sort i, -2, d.\nAnswer: -2, i, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - 7. Let l be (-4)\/6*195\/j. Suppose 3*v - 4*h = l, -5*v + h + 26 = -7. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2914801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/5 of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -2*i. Suppose p + p - 4*v + 2 = 0, i = -5*v + 15. Suppose -3*t + t = p*y - 56, 4*y = -2*t + 60. List the prime factors of t.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 576, 1163, 1750, 2337, 2924, 3511?\n\"Answer: 587*i - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 4*a - 4. Let j = -63 + 65. Let m be t(j). Solve -5*d = 5*u + 20, 0*d + 14 = m*d - 2*u for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 428*t - t**2 + 2*t**3 + 6*t**2 + 268*t + 2 + 3*t**2.\nAnswer: 2*t**3 + 8*t**2 + 696*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + -14. What is the least common multiple of o and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6617 > -6616?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1408 + (-70)\/(10\/2) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10\/3 (b) -126 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3304*d - 3309*d - 5*f + 45, 5*d - 54*f + 73 = 0 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -291273315 or -291273316?\nAnswer: -291273315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -47.15 - -45. Let f = -0.85 + a. What is the second biggest value in f, -1, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65510 a multiple of 382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -4 (b) 4 (c) 71\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2833, 2601, 1939, 631, -1539, -4787, -9329, -15381?\nAnswer: -23159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -28*p - 33. Let s be 12\/4*-1 + -7. Is c(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1532 + 72?\nAnswer: -1470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2903*-436\nAnswer: -1265708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2831564 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 8*u**2. Let h(v) = 1720*v + 1. Determine h(z(b)).\nAnswer: 13760*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -26510 + 897?\nAnswer: -25a57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 202 - 24 - 9 - (-63 - -111)\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1979736, -1980008, -1980280, -1980552?\nAnswer: -1980824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/84252 and 127\/84.\nAnswer: 84252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (36 - (17 - 2))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 33167 and 8 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2 + sqrt(5) + -3)**2*5 + 5 + -4.\nAnswer: -10*sqrt(5) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - (2 - 5\/2). Let r be 15\/10*39\/36. Let k = 15\/8 - r. What is the nearest to -0.2 in 0.1, k, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 3 (c) 5\/3 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3074736?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 3. Suppose 4*t = b + 830, 0*t + u*b - 822 = -4*t. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -493 less than -21364.7965?\nAnswer: -20871.7965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (21*i**2 - 4*i**2 - 2*i - 9*i**2)*(-11*i**2 - 3*i**2 + 5*i**2) in the form j*i**2 + y*i**4 + z + s*i + r*i**3 and give y.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2429663?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -5*s + 45. Let h be w(8). Let u(v) = 10*v + 3 - h*v + v**2 - 14*v. Let f be u(9). Solve a - 14 = 2*k - 3*a, 4*a - 29 = -f*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 + 247713*h**2 + 206003445*h + 43047381639.\nAnswer: 3*(h + 419)**2*(h + 81733)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + a + 6 + 15 = 0, 4*a = -f + 6. Let o be (-14)\/f + 2\/3. Suppose -5*l + 3*t + 19 = -o*l, -4*l + 34 = -2*t. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -4192*w - 54877. What is j(-13)?\nAnswer: -381","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -86*j + 1807. Let l be o(20). Calculate the highest common divisor of l and 261.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (124\/(-620))\/(1\/((-220)\/4)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -70\/93987 and 101\/62658.\nAnswer: 187974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 + j)*(-2 + 2 + 1) + 2*j + 2 - 2 + (-1 + 3 - 4)*(2 - 3*j - 2))*(-9 + 9 + j - j**4).\nAnswer: -9*j**5 + 9*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + 3*l**2 + 5*l - 1. Let u be d(4). Let x = -191 - -540. Suppose -5*b + x = 4*n, 4*n = u*b + 2*n - 227. What are the prime factors of b?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -250*b - 670*b**3 - 222*b + 218*b**3 + 225*b**3 + 226*b**3 - b**4 - 3*b**2 as v*b**3 + d + t*b**2 + w*b**4 + l*b and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - -2. List the prime factors of 170\/h - 15\/(-20).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-18)\/8 + 3\/12. What is the units digit of (-4 - -10)*(l + 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -182d023 - 5?\nAnswer: -182d028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 417594?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 833306.6km?\nAnswer: 833306600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 1:21 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 17 = -18. Let l be 6 - 0\/(4 - 1). Let u(y) = -4 + 3*y - 1 + y - l*y. What is u(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 24 = 3*o, -4*o - 1 = 4*l - 17. Let b(f) = -f**3 + 6*f**2 + 4*f - 8. Determine b(o).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.312 - 4.312. What is the biggest value in o, 2\/11, 1.3?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02143393 rounded to 3 dps?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 695326\/845 or 824?\nAnswer: 824","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44284, -88567, -132850?\nAnswer: -177133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 57973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 28, 2\/15, -1\/3 in decreasing order.\nAnswer: 28, 4, 2\/15, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10220707 to the power of 1\/4, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*b**2 + b - b + 7*b**2.\nAnswer: 14*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 801, 939, 1077, 1215?\n\"Answer: 138*p + 663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94 - 20 - 24 + 11*p - 25 - 25.\nAnswer: 11*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from huuuuhuuuuh. What is prob of sequence huh?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**3 - 891112*a**2 - 99256510024*a + 794109112384 = 0 for a.\nAnswer: -222782, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -99.11 + -1.89. Let n = -53 - y. Let s = n - 48.2. Which is greater: 7 or s?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 87*c**2 + 828*c - 288. What is the remainder when r(77) is divided by 220?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of -2 - 1\/2*p**2 + 0*p. Let x(d) = -5*d**2 + 4. Let n(v) = -6*v**2 + 3. Let l(q) = -4*n(q) + 3*x(q). Give z(l(o)).\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13697 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1400109 to the nearest integer?\nAnswer: 1183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 110387\/1425 + -1966\/25. What is the common denominator of -47\/75 and s?\nAnswer: 1425","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 AM and 6:35 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00210614996 to 7 decimal places.\nAnswer: -0.0021061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -6*a**2 - 126*a - 106. Give v(-20).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 1)*(0 - 5 + 0)*(-4*u + 2*u + 4*u) + (3*u + 4*u + 4*u)*(-1 - 1 + 4).\nAnswer: 12*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*-33*(-59)\/(-147972).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 156121*p**4 + 2*p**2 - 2*p - 13032 wrt p?\nAnswer: 3746904*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/248 and -69\/64.\nAnswer: 1984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((61*i - 24*i + 18*i)*(62 - 62 + 11*i) + (i - 2*i + 3*i)*(2*i - 2 + 2))*(-4 + 5 - 4).\nAnswer: -1827*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-6)*z**(1\/2))\/(z**(-6)\/((z**6*z)\/z)))**12 assuming z is positive.\nAnswer: z**78","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -36952*q**2 + 745*q. Let y(u) = 149*u**2 - 3*u. Let t(a) = 3*d(a) + 745*y(a). Let g(v) = -895294 + 895294 - v**2. Determine t(g(n)).\nAnswer: 149*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -264.95 - 0.05. Let m = 265.00001049 + f. Round m to 7 decimal places.\nAnswer: 0.0000105","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-44)\/10 + 4\/10. Let i = y + 19. Suppose 1 = 4*s - i. Solve -3*u = -s*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -2*w**3 + 1570*w**2 + 37076*w - 2598544 = 0.\nAnswer: -52, 31, 806","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 - -33?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1051946172?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, w: 2}. What is prob of picking 1 w and 1 e?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 667 - 70 = 3*x + 3*l, 4*x - 802 = 2*l. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 - -30) + 3\/(-1) - (-52)\/(-40)*5?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/(-28))\/(39\/286)*4.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.24 - -5.24. What is the nearest to 1 in -2\/5, s, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 269 and 459721?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -4, -3, -6, 25, 3 in ascending order.\nAnswer: -6, -4, -3, 3, 10, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.33 - 0.07. Let q(y) = -y**3 + 6*y**2 + y - 4. Let f be q(6). What is the second biggest value in -2, f, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6555 + -6556. Which is the closest to w? (a) 1 (b) -0.1 (c) -1 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 x when two letters picked without replacement from xkskrx?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -4*x - 4816, -5*x = -0*x - 4*t + 6016. Let l = 2360 + x. What is l rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63289?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 + 10*j - 19. Give k(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-66)\/132)\/(4\/40)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + 163*j**2 - 1124*j + 11224. What is o(-170)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43685402?\nAnswer: 2, 1667, 13103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16.1 - 16.10000371. What is l rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4 - 6*r**4 - 3*r**2 - 3*r + 8*r**4 + 3*r**3.\nAnswer: 3*r*(r - 1)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2413 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 19*s**3\/11 - 36004*s**2\/11 - 1895*s\/11.\nAnswer: s*(s - 1895)*(19*s + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 65 = 6*b. Suppose -b*f - i + 163 = -13*f, f + 3*i - 171 = 0. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*p + 43*p = -79*p - 651 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10387, 41421, 93111, 165457?\nAnswer: 258459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.1, 0, 3, -0.213, 3\/7 in decreasing order.\nAnswer: 3, 1.1, 3\/7, 0, -0.213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4656566727.\nAnswer: 3, 7151, 72353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -10318678.\nAnswer: 5\/10318678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*p + 15050 = 15012 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -4*p + 32, -3*p = -0*h + 5*h. Suppose -1500 = -5*r - 3*n, p*r - 2*n - 1103 = 422. Is r a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 332*h**2 - h - 2*h + 3*h.\nAnswer: 332*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1970 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - x - 1)*(4 - 2 + 0) + 6 + 9*x - 6)*(8*x**2 - 5*x**2 + x**2).\nAnswer: 28*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3 + 36*g**2 + 8*g - 144.\nAnswer: -2*(g - 18)*(g - 2)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 101, 220, 329, 422, 493, 536, 545?\n\"Answer: -u**3 + u**2 + 123*u - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -o - 19, -9 = -a + 5*o + 10 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**19*(a*a**(-17))\/a)\/(a*a\/(a\/(a\/a**(3\/14)))*a**(1\/15)) assuming a is positive.\nAnswer: a**(31\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/35 + 211002\/(-3795)\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*o + 6*o - 24*o - 28 = 0 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**2 - 5*b + 2. Let k(y) = 2*y**2 - 4*y + 3. Calculate 6*k(h) - 5*n(h).\nAnswer: 2*h**2 + h + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -325.13456 to one dp.\nAnswer: -325.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 2 - 0 - -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -844, 292, 2184, 4832, 8236?\nAnswer: 12396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 18 = 5*f - 12, -y + 6 = 5*f. Let z(h) be the second derivative of -h**3 - f*h + 0 + h**2 + 1\/12*h**4. Calculate z(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -635 + 641. Solve -2*r - p - 8 = -2*p, -5*r = p + q for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*c**2*n**3 + 2*c**2*n**2 - 203*c**2 wrt n?\nAnswer: -9*c**2*n**2 + 4*c**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 8.968. Let o = 3.642 - -1.39. Let d = o - p. Put -0.2, 6, d in ascending order.\nAnswer: -0.2, d, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.0377 (b) 3 (c) 4\/3 (d) -1\/5 (e) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*j + 6*j + 30*j - 10*j + 30*j - 3 in the form d*j + x and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223859 is divided by 40.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((-4 - (3 - 3)) + 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2630 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 8392 = 5*i, 4*i - 2*w + 6603 = -109. Let n = i - -2521. What is the units digit of n\/10 - 1\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 2, -1\/63, 5, 4?\nAnswer: -1\/63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -87*y**3 + 12*y**2 + 4 - 1 - 113*y**3 - 5 - 13*y**2 - 2*y in the form c*y**3 + t*y + j*y**2 + n and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1365, -1173, -981, -789, -597, -405?\nAnswer: -213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 86384 and 183247459.\nAnswer: 5399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2149 - 52*p**2 + 2149)*(-1 + 0*p + 3 - 2*p).\nAnswer: 104*p**3 - 104*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r + 9. Let l be -3 + 6 + 2 + -12. Let x be i(l). Suppose 2*t = t + 4. Solve -v - 2*v = 4*j - 11, t*v = 3*j - x for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 146.396106ns to days.\nAnswer: 0.000000000001694399375","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1099618?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-4))\/(4\/(-2))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-2 + (111 + -105 - (-2 + (-33 - -3)))).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3152, -3139, -3124, -3107, -3088, -3067, -3044?\nAnswer: -3019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 675, 684, 695, 708, 723?\nAnswer: 740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 199935205 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, 5, -5, 3, -15.\nAnswer: -15, -5, 3, 5, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 562679 divided by -13?\nAnswer: -43283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25795404?\nAnswer: 2, 3, 83, 89, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 19, -5, -9, 3, -1\/7 in descending order.\nAnswer: 19, 3, -1\/7, -3\/4, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 2*a = -4 - 4, -k + 16 = -4*a for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1506654\/56 + (-4)\/14 - 673\/2692?\nAnswer: 2, 3, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5475, 3467, 129, -4533, -10513, -17805?\nAnswer: -26403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(1\/2))\/u*u)**(15\/7)*u**(-6)*u**12 assuming u is positive.\nAnswer: u**(99\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**4 - 2*h**2. Let q(i) = -11*i**4 + 10*i**2 - 75*i. Let y(x) = q(x) + 5*v(x). What is the second derivative of y(a) wrt a?\nAnswer: -192*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17.786 + 24560.\nAnswer: 24577.786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.378756 hours in days?\nAnswer: 0.7657815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/3 + (-10)\/(-105)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 + 10 - 12)*(0 + 4*m + 0 + 3*m - 2*m + m + (-m - m + m)*(1 + 0 - 2) + (3 - 4 + 3)*(2 - 2 - 2*m)).\nAnswer: 81*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 324, -0.1, -16?\nAnswer: 324","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -4*p - 4, -4*p + 10 - 14 = -4*m. What is the third smallest value in -1\/5, 0.5, p, 13?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that d**3\/3 - 565*d**2 + 319225*d - 180362125\/3 = 0.\nAnswer: 565","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 3*y - 7 = 8, 2*y = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0*2\/(-3 - -1). Find the first derivative of -4*z**4 + l*z**4 + 2 - 7 wrt z.\nAnswer: -16*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -1\/3, -6, -2\/7, 0.05 in decreasing order.\nAnswer: 2\/7, 0.05, -2\/7, -1\/3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15 - 54 + 11)*(3 + 0*j - 1 + 2*j) to c + u*j and give c.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 622 + -310. Suppose -108 = -15*p + y. Calculate the greatest common factor of p and 308.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.33 + 0.23. Are -141\/8 and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/((-28)\/(-60) - 4\/10). Let m(b) = -b**3 - 13*b**2 + 27*b - 32. Let g be m(t). Calculate the greatest common divisor of 39 and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1*5)\/(3\/(-3)*-1). Solve -z*p - 4*q + 0*q - 41 = 0, -2*p + 3*q + 2 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 10 and -354.\nAnswer: -344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + k - 1. Let s(w) = 56*w**2 + 42*w - 42. Give 168*o(d) - 4*s(d).\nAnswer: -56*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q - 154275 - 1391*q**3 + 154275 + q.\nAnswer: -1391*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -7*i**2. Let b(v) = -3*v**2 - 6*v. Let f(x) = 7*x**2 + 13*x. Let p(k) = -13*b(k) - 6*f(k). What is 10*p(o) - 4*s(o)?\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -14857.6401 rounded to the nearest integer?\nAnswer: -14858","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - 8*u - 3. Let l(o) = o + 2*o**2 + 0*o + 2*o + 3*o. Let m be l(-4). Let p be i(m). Let a(t) = t**2 + 3*t - 4. Give a(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -192630, -192632, -192634, -192636?\nAnswer: -192638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 4*x**3 + 18*x**2 + 21*x + 74. Calculate s(-4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 204102 a multiple of 493?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -691 - -3185. List the prime factors of p.\nAnswer: 2, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -2 (b) -308 (c) 0.72\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 3*m - 4*n + 8, 19 = 4*m + n. Suppose -17 = -4*p + 3*h, 2*h + 10 = -m*p + 32. Suppose -5*l + 13 = 2*q + p, 2*q = 5*l - 12. Is q at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**3 + 5524*c**2 - 38400*c - 98928.\nAnswer: -4*(c - 1374)*(c - 9)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 7) in base 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3239\/7 or 464?\nAnswer: 464","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1506501 to the power of 1\/3, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*s**3 + 13*s**3 - 23*s**3)*((-2 - 2 + 3)*(-1 + 2 + 0) - 1 + 5 - 1 - 2 - 3 + 4).\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 80 and 96?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 21*x**3 + 10*x**2 + 11*x - 10. Let k(f) be the third derivative of -f**6\/30 - f**5\/30 - f**4\/12 + f**3\/3 - 18*f**2. Calculate 11*k(o) + 2*v(o).\nAnswer: -2*o**3 - 2*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -6, -3, 15 in descending order.\nAnswer: 15, 1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/22 (b) 0.4 (c) 5 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - -109?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 4 + 13 + 2*d + 1 + 9 in the form j*d + k and give k.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 131.6 rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -559, -1128, -1699, -2272?\nAnswer: -2847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -595063 + 353557. Let h be k\/(-21) + 4\/(-14). What is h rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -168, -164, -160, -156, -152, -148?\n\"Answer: 4*b - 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 2)*(1 - 2*q - 1 + (0 - 1 + 0)*(-465*q - 6008593 + 6008593)).\nAnswer: -926*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 3*m - 111 = -c, -319*m + 325*m = 2*c + 222 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*m + 35*m + 928 + 1944 - 1648 = 0 for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/2*(-24)\/9. Let j be (a\/6)\/(2\/90). Suppose 3*f - j = 5*d, -d = -2*f - 0*f + 27. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(-7)\/21*-3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36342 is divided by 1343.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 92278 (b) -5 (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10.66 + 11.66. What is the second biggest value in 2\/15, m, -27\/14?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -7*r - 8. Let a be (1 - (2 + 234))*(-6)\/(-15). Let w = 89 + a. Let t be o(w). Is 26 >= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of -34*y**6\/15 - 99*y**2 + 153*y + 1. Find the first derivative of b(w) wrt w.\nAnswer: -272*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/((-4)\/2 + 1) - -27. What is the highest common factor of z and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26599603685 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of -g**8\/1680 + 8*g**7\/525 - 7*g**6\/60 - g**5\/3 + 275*g**4\/24 - 250*g**3\/3 - 464*g**2. Factor k(v).\nAnswer: -(v - 5)**4*(v + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 2:26 AM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -171818638*s*x**3 - 7*x**3 - 2*x**2 - 135024*x wrt s.\nAnswer: -171818638*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27409?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 399690 divided by -2\nAnswer: -199845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 - 52*i + 27*i + 26*i.\nAnswer: i - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15365996 is divided by 480187?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, a: 5, d: 1, c: 1}. What is prob of sequence cx?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 3. Let p(i) = 3*i - o + i**3 - i - 5*i**2 + 10*i**2. What is the remainder when 8 is divided by p(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2615.935l?\nAnswer: 2615935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 1\/3, -0.1, -5\/20933, 4 in increasing order.\nAnswer: -0.1, -5\/20933, 0.3, 1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*(g*g*g\/(g**(-1\/2)\/g)*g*g)\/g*g)**(-30)\/((((g\/g**(-17))\/g)\/g)\/g*g\/(g*g*g**13)) assuming g is positive.\nAnswer: g**(-256)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -5205 bigger than -1687?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 22*x**2 - 9*x + 19. Calculate the remainder when 620 is divided by g(2).\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**4 + 2*d - 2*d + (2*d + 4*d - 5*d)*(d**3 + 4*d**3 - d**3).\nAnswer: 6*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -121498 or -121489?\nAnswer: -121498","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -99946091 >= -99946091?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 + 5*b**2 - 9*b - 9. Determine u(-3).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/237871 or -1?\nAnswer: -2\/237871","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (28 - 18)\/(2*1). Solve -4*h - 2*l - 5 = z, 5*l = h - 25 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -29*s + 37. Let j(i) = 85*i - 107. Calculate -3*j(z) - 8*u(z).\nAnswer: -23*z + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 152024 divided by -62\nAnswer: -2452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7440)\/217)\/(-30)*(-5)\/(20\/112).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 977833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 133 = -5*c, 3*l - 33 = -3*c + 66. Suppose 3*v - 1 = c. Let k be (-40)\/(-7) + 4\/14. Solve v = q - k*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-1))\/(72\/(-45)*115\/46)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1518*v**2 - 1517*v**2 + 54*v + 68*v - 122*v.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7*(-4)\/(-32))\/(174\/1392).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.15ml in litres?\nAnswer: 0.02415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = b, -v + 8 = 91*b - 89*b. Solve -2*a + 43 - 53 = v for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 296*t + 4786*t**2 + 111*t + 116*t - 224*t + 273*t wrt t.\nAnswer: 9572","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 501204057.\nAnswer: 3, 73, 2288603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3350000 rounded to the nearest one hundred thousand?\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ghhgg. What is prob of picking 2 g and 2 h?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 y when three letters picked without replacement from ssypsysyyyspy.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 6*(1 + sqrt(19)).\nAnswer: 10 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 7*z**2 - 43*z + 91. Let b be c(8). Solve -16 = b*g - 203*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73933.\nAnswer: 17, 4349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 404*m + 208*m + 332*m.\nAnswer: 944*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1917437957 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 8405.96cm?\nAnswer: 84059.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4392 and 418216.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 847048?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2061?\nAnswer: 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 9*c**2 - 5*c + 62. Let x(g) = 11*g**2 - 6*g + 62. What is 6*r(d) - 5*x(d)?\nAnswer: -d**2 + 62","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29*n**4 + 8*n**3 + 3*n**2 + 42*n + 57 wrt n.\nAnswer: -348*n**2 + 48*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*(-6)\/(-27)*6. Suppose -f*z + 270 = -2*s - 162, 2*s + 2*z = -432. What is the common denominator of -69\/20 and (-4)\/(s\/381) - 1?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14\/15 in 4, 0.6, 3?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3388)*-1)\/(1*sqrt(16)\/sqrt(4)).\nAnswer: -11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, 10375, 7, -5 in decreasing order.\nAnswer: 10375, 7, -5, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f + 3*f - f)*(4*f - f - 6*f)*(-3 + 13*f - 15*f + 2).\nAnswer: 24*f**3 + 12*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1352 and 10062?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -590197198 or -590197199?\nAnswer: -590197199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1092 a factor of 76334076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -32297785 rounded to the nearest 1000?\nAnswer: -32298000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 15 (b) -0.4 (c) -64\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 4*w, -5*w + 22 = -5*z - 6*w. Let x be z\/(-3) - (-2)\/(-4). Which is smaller: 1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide (-747)\/(-2)*(-26)\/(-117)*141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/42 - (-4)\/(-14). Put -5, y, -2, -11 in decreasing order.\nAnswer: y, -2, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**1)**10)**(-3\/4))**(-1\/37) assuming q is positive.\nAnswer: q**(15\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 66, -2, 5, -1\/4, -5, 0.115, 4\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4*((-54)\/(-48) + 2\/(-16)). Let c(z) = 5*z - 3. Let i(p) = 9*p - 6. Let b(q) = 5*c(q) - 3*i(q). What is b(a)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 957 = v, -3*q + 4*v = 2*q - 4749. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -385 + 28 = 51*j. Let a(t) = t**3 + 9*t**2 + 17*t + 20. What is a(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (163 - 162) + -19 - (2 + -37)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2332 - -2337. Let l(s) be the second derivative of -1\/30*s**6 + 0 + 1\/6*s**4 + 12*s + 0*s**3 + 0*s**2 + 1\/20*s**v. Let l(z) = 0. What is z?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -372876.3 rounded to the nearest 1000?\nAnswer: -373000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2 (b) -14 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 48103950*s**2 + 3*s - 3866550.\nAnswer: 96207900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus -362111203942?\nAnswer: 362111203942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 - -23. Let n = -5 + q. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(6\/2)*2\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 + 12*n - 1. Let f be r(6). Let c(z) = f*z**2 + 363*z - 363*z. Let m(h) = h**2. What is c(m(k))?\nAnswer: 35*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -66*q**3 + 17*q**3 + 22*q**3 + (1 - 2 - 1)*(3*q**2 + 2*q**3 - 3*q**2) + q**3 - 3*q + 3*q as r*q + o*q**2 + c*q**3 + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 237746503?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 170 + -362. Let j = -89 - z. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-61761)\/(-5880) + (-1)\/((-21)\/12). Let n = o + -87\/8. Let g = -6 - -6.6. Which is the fourth smallest value? (a) -0.1 (b) g (c) n (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4720 - -4726. Solve -5*t + u = -11*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c - 4*c + 5*l - 2985, -5*c = 3*l + 3759. Let x = c + 1219. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1174530 divided by -1598.\nAnswer: -735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -8574240.45 to the nearest 1000.\nAnswer: -8574000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 7*o + 13. Give q(-14).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-49))\/(213\/(-497)*5\/15)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1933, 7, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/2 (b) 332 (c) 1\/5 (d) -6 (e) -1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -529.9587 - -530. Let h = 4.9587 + t. What is the nearest to -1 in -2\/3, -0.11, h?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(2\/37)\/q*q)\/(q*q*q\/(q\/(q*q**(1\/11)))*q*q) assuming q is positive.\nAnswer: q**(-1643\/407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/((-273)\/26))\/(51*8\/(-36))?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -15 - -36 - 6 - 52\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6025 is divided by 669?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 15*a - 14*a = 1760, -2*t + 3511 = -a. Suppose -1761*j = -t*j - 64. Solve 5*i = 1 - j for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 8:21 PM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (85 - 66) - 41.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 348*o - 618. Let t be w(2). Solve -3*s = 99 - t for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x - 7*x + 2*y + 16, 4*y = 4*x - 20 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29 - 10. Let r(i) = -x*i - 32*i + 56*i. Let p(k) = 9*k. Let z(a) = 8*a. Let g(b) = 4*p(b) - 5*z(b). Give r(g(w)).\nAnswer: -20*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aeeaaeeaaaaaeaaeaees. What is prob of sequence aees?\nAnswer: 77\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3345949 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 0*r - 62. What are the prime factors of r?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 39, -719, 4 in ascending order.\nAnswer: -719, -21, 4, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*d + 5 - 7 + 9 - 7.\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -4, -5, 2, -0.145?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1535 (base 7) to base 4.\nAnswer: 21212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1010 - 500. Let o = 579 - r. Calculate the remainder when 205 is divided by o.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v + 7*v - v**2 - 8*v + 3*v - 162 - 2*v**4 + 2*v**2 as o*v**4 + l*v**3 + c*v**2 + k*v + t and give t.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 5 - 1)*(-2*p**2 + 3*p**2 + 0*p**2) + (-2 + 2 + p)*(-1 + 2*p + 1).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 112 = -3*u - u, 2*y + u = 37. Suppose t - y = 32. What are the prime factors of t?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -52829 + -1049?\nAnswer: -53878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12357 or 12359?\nAnswer: 12359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - 6*i - i)*(3 + 0 - 4)*(5*i - i - 2*i).\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (4010\/(-364) + 1020\/(-4760))?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13112779 by 5.\nAnswer: -13112779\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 92241 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 309*y. Let p(d) = 2*d. Calculate p(a(q)).\nAnswer: 618*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 12 = -2. Let g(s) = 4*s + 11. Let l be g(h). List the prime factors of (l + 0\/(-2))*41.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -13. Suppose r = h + 6, 6*r - h = 2*r + 15. Calculate the common denominator of -5\/6 and 93*i\/276*r.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4*4\/32)\/((-1)\/(-2))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 8:32 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 5*s - 108 = 15*s, -3*s - 16 - 17 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -132 + 95. Let u = m - -93. What is the remainder when u is divided by 22?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -p**3 - 1216*p**2 - p + 629843.\nAnswer: -3*p**2 - 2432*p - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2937830 to the nearest integer?\nAnswer: 1714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15692\/18 - 20\/(-90). Let k = -7001\/8 + w. Let u = -3 - k. Which is the closest to -1\/2? (a) u (b) 0.1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 46*m**2 - 68*m**2 + m**3 + 2*m**3 - 4*m**3 + 11*m**2. Determine t(-11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1*sqrt(17) - sqrt(17))**2 - (sqrt(68) + -1)**2.\nAnswer: -409 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000000922976 to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.356 - -3.644. What is the nearest to 0.1 in 8\/5, z, -2?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260442979 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Divide -78848 by 11264.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*a + 11*a - 22*a)*(-a**3 - 3*a**3 + 2*a**3).\nAnswer: 54*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 87\/2*f - 3\/2*f**3 - 45\/2 - 39\/2*f**2 = 0. What is f?\nAnswer: -15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + 2. Suppose 2*j = n + 12. Calculate the remainder when 37 is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, 2571, -2, 5 in increasing order.\nAnswer: -3, -2, 0, 5, 2571","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 850175043?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -228 + 229.38. Let s = -13556 - -13554.6314. Let v = s + j. What is v rounded to 3 dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4324120 to the nearest one hundred thousand.\nAnswer: 4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/3 - (-20)\/6. Let j(u) = -u**3 + u**2 + 1. Let k(m) = -4*m**3 + 2*m + 3. Let g(s) = 5*j(s) - k(s). What is the units digit of g(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + g + 1. Let m be v(-2). Let f be (63\/6)\/m*8. Suppose f = 4*q - k - 65, 3*k = q - 37. List the prime factors of q.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - -3564023\nAnswer: 3564022.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -24 + 431?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6*380\/300*-120. What is the greatest common factor of n and 2352?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -566, -1187, -1812, -2441, -3074?\nAnswer: -3711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllnnkc. What is prob of sequence llk?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(612))\/sqrt(12))\/(sqrt(135)\/sqrt(5)).\nAnswer: 2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.7 - -0.3. Let t = y - 2.2. What is the nearest to t in 2, -2\/3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 96 - ((-4 - (2 + -29)) + -8)?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1863\/452 + -3\/904. What is the common denominator of h and -79\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -4*i + 354, -6*k + 9*k + i = 345. What is the remainder when k is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fifteen quarters of a millimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000037197 rounded to 7 decimal places?\nAnswer: 0.0000372","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-2)*(-6)\/(-5).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 441*d**2*i - 143*d**2*s - 82*d**2 + 2*d*i*s + i*s + 99*s wrt s.\nAnswer: -143*d**2 + 2*d*i + i + 99","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 274950\/29250 - (-3)\/((-6)\/14).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 60 = 28*m. Let y(v) = -4*v**m + 2*v**2 - v**2 + 6*v**2 - 5*v - v**2 + 4 + 2*v**3. Give y(4).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1034 + -252. What are the prime factors of p?\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of -5513*q**4\/12 + 4*q**3\/3 + 31*q**2 - 4462*q. What is the second derivative of v(k) wrt k?\nAnswer: -11026","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7344285300 rounded to the nearest 1000000?\nAnswer: -7344000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Does 1001 divide 202583381?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1147 + 37647?\nAnswer: 36500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9035*p = 9129*p - 8554 for p.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - -6. Suppose y*m - 9 = 19*m. Let a = m - -12. Solve r - 20 = -a*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29.8 - 30.697. Let j = -2723.897 - -2724. Let a = b - j. Which is smaller: a or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/4)\/(((-135850)\/(-480))\/(-209))\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 6. Let b be 132\/(2 + 0) + 0. Suppose 2*u + 36 = 5*a - 40, m = 4*a + u - b. Calculate the lowest common multiple of a and 20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 31\/2 of a gram?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -103 + 99. Let u = 0.11 - 5.11. Which is the closest to -4\/7? (a) 2\/5 (b) u (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) - (2*sqrt(152)*-6 - sqrt(152)))\/sqrt(8).\nAnswer: 14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 207\/24638?\nAnswer: 207\/24638","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6557, 13110, 19663, 26216, 32769?\n\"Answer: 6553*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 4*y - 1. Let n(o) = o**3 + 4*o**2 + 3*o - 2. Let q be n(-3). Let r(j) = -3*j + 2. Let z(k) = q*l(k) - 3*r(k). Determine z(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 375 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42.9672 + -43. What is q rounded to three dps?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r - 186 = 191. What is the highest common factor of 203 and r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 126314276?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 6 + 12*l**2 - 5*l + 4.\nAnswer: 12*l**2 - 5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 10) to base 14\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 2 = 28. Let b = -7 - d. What are the prime factors of (b + -2 + 2)\/1?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -5*x - 5, -66 = -4*z + 5*x - 106 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 15 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14b (base 14) in base 9?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 41, 41, 49, 71, 113, 181, 281, 419?\n\"Answer: z**3 - 2*z**2 - z + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 at most as big as 40535\/6607?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -274 divided by -6?\nAnswer: 137\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -33, -36, -29, -6, 39?\n\"Answer: k**3 - k**2 - 7*k - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + -2 - -2)\/(9 - 3). Factor -4\/9*k**2 - 2\/9*k**4 - 2\/3*k**3 + a*k + 0.\nAnswer: -2*k**2*(k + 1)*(k + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 192 and 14.\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49420?\nAnswer: 2, 5, 7, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/3 (b) 55 (c) 0.2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.5206325 nanometers?\nAnswer: 0.0000000005206325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2, -34, -64, -92, -118, -142, -164?\n\"Answer: l**2 - 35*l + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53871 is divided by 67?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -145067 + -b5?\nAnswer: -145160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (1 + -1*sqrt(1700) - sqrt(1700))**2 - (((sqrt(153) + sqrt(153)*1)*-6)\/(sqrt(99)\/sqrt(99)))**2.\nAnswer: -15233 - 40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (16\/200*-10)\/((-75)\/285125). Is t less than or equal to 3040?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 2*p - 3, -2*d - p + 8 = 2*p. Is 1\/2 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2745.\nAnswer: 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 25*k + 5. Let y(z) = -15*z + 3. Let f(w) = -8*w + 2. Let v(s) = 5*f(s) - 3*y(s). Let r(p) = -2*d(p) + 11*v(p). Let m be 1*3*(-12)\/18. What is r(m)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 11, s: 3}. What is prob of picking 4 x?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82, -317, -738, -1369, -2234?\nAnswer: -3357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3049*r**2 + 33539*r. Calculate d(-11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*q = -125*q + 18 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94109 is divided by 692?\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 157 + 1. Let d = q + -34. Let a = 4 + 0. Solve a*s - s - 2 = -2*f, -5*s + d = -4*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -9*t - 1. Let n(q) = -q - 10. Let f be n(-8). Let p be b(f). Let w be (2\/6)\/(p\/204). Solve -5*u - w = 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 657 and 2463.\nAnswer: 539397","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1121, -2238, -3325, -4364, -5337?\nAnswer: -6226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 374 = -y, 85 = 3*j + 2*y - 129. Let h(m) = 4*m - 25. What is the remainder when j is divided by h(11)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 5*c**2 - 2*c - 1. Let k be d(2). Let i = -41 + 38. Let z = i + k. What is the remainder when 35 is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m + 4. Let v be y(-2). Suppose 2*h - 4 - 22 = -p, 2*h - 4*p = v. Calculate the smallest common multiple of h and 7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -464, -4, -5 in descending order.\nAnswer: 4, -1, -4, -5, -464","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2.9, 223, 0.5, 16, 4, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 12, -4, -135 in decreasing order.\nAnswer: 12, 7, -4, -135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8771836?\nAnswer: 2, 137, 16007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*q - 23828 = 0. Let k = q + 10857. Round k to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12\/31 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4681 and 1519?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -2, -5, 207, -4, 1 in increasing order.\nAnswer: -6, -5, -4, -2, 1, 207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -9. Suppose -2*j + 7 + 5 = a. Suppose -j*y = -2*y - 24. Calculate the remainder when 10 is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 73.6 - 74. Let t = 0.6 - 0.7. What is the closest to t in 0, -6, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -257 and -257 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/10 of a kilometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 9*o**2 + 11*o + 10. Let a be v(10). What is the tens digit of a\/(-70) + 550\/14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 78.7 - 79.212. Let d = z + 0.912. What is the fourth biggest value in d, 2\/11, -0.79, 0.3?\nAnswer: -0.79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -209*k - 1800 wrt k.\nAnswer: -209","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -514 = -2*g + 3*m - 501, -g = m + 1 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12754, -25690, -38830, -52174?\nAnswer: -65722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 238 and 102?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*l**2 + 0*l**2 - 4*l**2 - 9*l**2 - 20*l**2 - 4*l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*k**3\/7 - 8*k**2\/7 - 20*k\/7 + 8\/7.\nAnswer: 4*(k - 1)*(k + 1)*(5*k - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.8 - 3.3. Let y = b - -23.3. What is y rounded to zero dps?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -5, 9, 23, 37, 51?\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*r**2 + 3*r**2 - 16*r**2 + 2*r in the form w*r + p + v*r**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o**4 + 2*o - 2*o + (-3*o**2 + 0*o**2 + 5*o**2)*(-2*o**2 - 3*o**2 + 4*o**2))*(-7 + 3*o + 7).\nAnswer: -18*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + t**2 + t - 1. Let u be p(1). Let s(w) = u*w + 4*w + 0 - 5. What are the prime factors of s(4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*(10\/(-75) - 17\/(-15)). What is the common denominator of 14\/65 and 1284\/(-819) - (6\/(-21) - o)?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - o + 3 = 0. Let l be o\/(-2)*26 + 3. Suppose -l = -5*i + 13. Calculate the greatest common divisor of 11 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 273.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*y - 7293273 = -133*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5531 is divided by (176\/198*(-15)\/(-20))\/(2\/45)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -12*u - 78. Let a be s(-7). Let r be a\/((72\/(-6))\/6). Let d be 4\/2 + 1 + -5. Which is smaller: d or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-9)*-3 + 26. Suppose -c - f - 1156 = -5*r, -4*r + 935 = c. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1064479.\nAnswer: 13, 81883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -324 - -6154\/19. Which is the nearest to -2? (a) r (b) 0 (c) -2 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -147 in 0.61, 0, -2\/17, -1\/2, 1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10222100 - -11?\nAnswer: 10222111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18880?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 130*s**2 - 784*s + 24 = 0.\nAnswer: 2\/65, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h**(-1\/7))**(-46))**(-7\/4))**(-48))**(-21) assuming h is positive.\nAnswer: h**(-11592)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -631.91 - -632. Let y = -8 + 6. What is the second biggest value in -3\/7, q, y?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34 (base 13) to base 9\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -23916\nAnswer: 1\/5979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5163180, 10326390, 15489600, 20652810?\nAnswer: 25816020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 282512?\nAnswer: 2, 17657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 18. What is the lowest common multiple of p and 48?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2480534558.\nAnswer: 2, 2843, 436253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*j**3 - 6*j**3 + 269*j**2 - 415*j**2 + 17*j - 2*j**4 - j**3 + 14*j**3 to y*j**4 + v*j**3 + o + i*j**2 + t*j and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 43646531 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16202*x**4 + 3*x**2 - 48*x - 5 wrt x?\nAnswer: -388848*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -15. Suppose 2*r - 6 = -r. Solve -r*b = -w*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 - -23.4. Which is the nearest to 2? (a) 4 (b) j (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 9828 = -493. Round z to the nearest one hundred.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49213983\/247 + 12\/114 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 6 = -0*p + 5*p, 2*p = 4*q - 20. What is the remainder when 55 is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tcxptmmpctbmxc. Give prob of picking 1 x and 1 b.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + -0.01831531980583.\nAnswer: -0.21831531980583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 11023 and -0.321 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80 - (-12 - (-3 + 1)) is divided by 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 62*x + 445. Let d(r) = -21*r - 148. Let g(u) = -10*d(u) - 3*s(u). Give g(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8275000 to the nearest 100000.\nAnswer: -8300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1478 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 3*n + 2. Let p(r) = 3*r + 1. Let c(z) = 5*o(z) - 6*p(z). Calculate c(7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.5 in -0.101, -0.2, 0.05, -2\/15?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2\/(-3) + (-4528)\/(-24)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from roxproxxxropx. What is prob of sequence rprr?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of 2*m**6 - 125*m**4\/4 - 371*m**3\/3 - m - 3367. Find the third derivative of t(s) wrt s.\nAnswer: 720*s**2 - 750","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -89*k - 155 + 269*k - 87*k. Does 62 divide j(19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 10*m + 21 = 0, -2*m = -4*z - m - 0*m + 9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is i in i**5\/6 - 1875*i**4\/2 + 2691529*i**3\/2 - 463111451*i**2\/6 + 1430974072*i - 8178813984 = 0?\nAnswer: 11, 24, 2783","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 10:52 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 70\/99 and -35\/31.\nAnswer: 3069","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5362 is divided by 96?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 373 times 1720508\nAnswer: 641749484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/3*12\/8. Let x be ((30*-1)\/(-5))\/(3\/v). Calculate the common denominator of -125\/18 and (-22)\/(-6) + -3 + (-52)\/x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -6*z**3 + 9*z**2 - 5*z + 3. Let b(o) = 6*o**3 - 12*o**2 + 4*o - 2. Determine -3*b(j) - 2*x(j).\nAnswer: -6*j**3 + 18*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of 14 - k**2 + k - 1\/4*k**4 - 4\/3*k**3. Give h(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = t - 10, -41847*t = -41852*t - 3*h + 16 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -16.\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 77805505 > 77805503?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1056 + -1056. Solve h = 4*v + 7 + 9 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37883*k = -4*n + 37888*k - 24, 0 = -2*k for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -42\/5*o**3 - 3\/5*o**4 - 147\/5*o**2 + 0*o + 0.\nAnswer: -3*o**2*(o + 7)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*9\/(-60)*4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 131740089?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3067 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3657209967?\nAnswer: 3, 23, 157, 37511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*j + 203 = -2*i + 186*j, -5*i - 2*j = 35 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5 (b) -0.1 (c) -421 (d) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -2*i - 4*d, 14*i - 19*i + 29*d = 30*d + 14 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5414761?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 + -15. Suppose 15*u - 10 = l*u. Solve b - 4 = u*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 30*w. Let x be b(2). Let g = x + 11. Let y = g + -37. Calculate the greatest common factor of y and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8769, -17579, -26431, -35325?\nAnswer: -44261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 4*s**3 - 67*s**2 - 14*s - 46. Determine k(17).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 732823074?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 148 = 168. Let g be 4 + (-1)\/(-1) - (-8 - q). Solve -5*y = 3*w, -g*y - y = w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19)\/(-7)*(-13 - 2214\/(-82))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*n + 2*n + 7284. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4905 + 0.0875. Let q = -0.0685 - j. Let s = q - 0.0655. What is s rounded to 2 decimal places?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 350*r**4 - 251?\nAnswer: 1400*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1363553 (base 7) to base 5\nAnswer: -21340123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of 73*p**7\/21 - 253*p**4\/12 + 127*p. What is the third derivative of b(a) wrt a?\nAnswer: 8760*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18037 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = g + 2*d + 12, 0 = 5*g + 5*d. Solve -15 = -g*o - 3*u, 0*u - u = -3 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = 2 + 52. Let c(i) = -i - m*i + 0 + 5. Is c(-3) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42518 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.236 + 0.537. Let w = g - 0.30100223. What is w rounded to seven decimal places?\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5250500 and 48500?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1031331320 - -11?\nAnswer: -1031331303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -30, -2.\nAnswer: -30, -5, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 722.8273 meters to nanometers.\nAnswer: 722827300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/180463 > 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of q**7\/2520 - q**6\/240 + 29*q**5\/120 + 7*q**4\/12 + 5*q. Let j(d) be the third derivative of a(d). Is 11 a factor of j(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**4 + 0*s**4 + 0*s**4)*(10*s - 17*s + 6*s)*(2 - 1 + 1) + s**5 + s**5 + 0*s**5.\nAnswer: 6*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 0. Suppose -4*n + 14 = -n + 4*x, i*n + x - 11 = 0. Solve 3*t - 3*j + 24 = 3, 0 = -3*j + n for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide (120\/((-28)\/(-7)))\/(-4 - (-5758)\/1439)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 4*n = 18, -10*n + 20 = -14*n for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -438 by 6020.\nAnswer: -219\/3010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31 + -26. Suppose -c - k*f = -35, c - 6*f = -f + 65. Does 10 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15514600 and 18617520.\nAnswer: 93087600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - p**2 + 8*p + 20675. Let u be k(0). Calculate the greatest common factor of 25 and u.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*((-6)\/1)\/(12\/(-3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 3*l - 6*l + 2*l)*(3*l**2 + 0*l**2 + 0*l**2) - 2*l**3 + 5*l**3 - 5*l**3 in the form a*l**3 + w*l + u*l**2 + s and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l**2 + 164*l + 4359. Calculate m(-21).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - (5805\/13)\/1. Let h(r) = r**3 - 14*r**2 - 8*r + 32. Let g be h(9). Let f = m - g. Put -2\/13, -0.3, f in decreasing order.\nAnswer: f, -2\/13, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 919215 and 33.\nAnswer: 919215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*r = -6, 2*g + 5*r = -0*r. Suppose -u = -4*f + 63, 2*u - 14 - g = -2*f. Calculate the lowest common multiple of 20 and f.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*z - 18 = -65*z. Solve 9*i - 7*i = -z for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5265\/810*((-21)\/(-22) - 1) and 55\/36.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/6)\/(-7 - 105\/(-9)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of 0 - 3*b - 1\/6*b**3 + 9*b**2. Does 8 divide f(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13944*h**2*q**3 + h*q**3 - 1467*h*q**2 - 3*q**3 wrt h.\nAnswer: -27888*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -1. Let n = 13010.2 - 13010. What is the biggest value in -5, 0.5, c, n?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-180)\/(-315)*(-1)\/((-12)\/48))\/(4\/(-14)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -30*j - 82. Let q(b) = 31*b + 83. Let c(h) = 3*l(h) + 2*q(h). Let y be c(-24). Suppose 0*u = -16*u + y. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26015, -52094, -78173?\nAnswer: -104252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence foo when three letters picked without replacement from {o: 1, f: 1, e: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-8\/7))\/p)\/p**6*p**(-12)*(p**(-9\/2)\/p)\/p assuming p is positive.\nAnswer: p**(-359\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**2 + 3*j**2 + 9*j**2.\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25\/(-1695)*(-42)\/(-35).\nAnswer: -2\/113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -61162, -60493, -59824, -59155, -58486?\n\"Answer: 669*p - 61831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h - 8. Let g be v(-5). Let t(w) = -2*w - 4. Let f be t(g). Suppose k = -1, 0 = x + f*k + 3*k. Solve -3*d = x*s + 8, 4*s + 4*d = -0*d for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*r - 197*r + 1772*r - 5868 = -95130 for r.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-14)\/(-24))\/(150\/600). Let m(o) be the third derivative of f*o**3 - 14*o**2 + 0*o + 3\/20*o**5 + 0*o**4 + 0. Differentiate m(l) wrt l.\nAnswer: 18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 8*b - 123. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 2799*k = 2809*k + 146, -3*h - k - 20 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + c + 9 = -0, 3*j + 3*c - 3 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 l when two letters picked without replacement from {h: 3, e: 1, l: 2, z: 1, y: 1, f: 4}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 26305 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4608519 to the power of 1\/3, to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-2))\/(105\/14).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x + 7. Let j(g) = g**2 + 2. Let s(c) = 8*c**2 - 3*c + 2. Let w(m) = -2*j(m) + s(m). Let y be w(2). Let a be (24\/y)\/((-3)\/12). What is o(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 290 = -m, -4*y + 282 = -0*y - 5*m. List the prime factors of y.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 269\/31784 and -10 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1187.9247063 rounded to 0 dps?\nAnswer: -1188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 8*u**2 - 7*u + 4. Let w be j(-7). Suppose 5*t + 3*q - 95 = -2*q, -t + 25 = w*q. What is the highest common factor of t and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4928 - 34099?\nAnswer: -29171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -33*r**2 - 102*r + 1008. Let c(i) = 15*i**2 + 51*i - 504. Let z(m) = 9*c(m) + 4*d(m). Factor z(p).\nAnswer: 3*(p - 7)*(p + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*a + 25455*a**2 - 2 - 8*a - 26084*a**2 + 0.\nAnswer: -629*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 6 - 3)*(g - 86*g**3 + 44*g**3 + 40*g**3 - 8*g**2) to the form l*g**3 + k*g + t*g**2 + j and give t.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 842?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 11:36 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1385911 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 30 = -z, -2*z + 4*z + 4*s - 12 = 0. Calculate the smallest common multiple of 34 and z.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 5:51 PM?\nAnswer: 11:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 4*n**2. Let l(o) = -547218*o. Give l(p(z)).\nAnswer: -2188872*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 11) to base 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*g + 5*v, 2*g + 3*v = 12 - 6. Solve -r - s - 2*s = 10, g = r + 5*s + 16 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 4.765012 seconds?\nAnswer: 4765012000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.9420759 to 3 dps.\nAnswer: -3.942","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 301672574.\nAnswer: 2, 7, 2953, 7297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1 + sqrt(7) + 0 - (2*sqrt(847))**2).\nAnswer: -3391 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9884*g - 393058 = -6553*g for g.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 - -20. Suppose 2*k + k = c. Let b(w) = -w + 2. List the prime factors of b(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + -4)*5 - -3*2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/5, -34\/141, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*z - 396 = -40*z + 276 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2520 and 317834440.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than 215433713187?\nAnswer: 215433713187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -34*k**3 + 77*k**2 - 414*k - 69. Calculate d(6).\nAnswer: -7125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 572 - 166 = 14*x. Which is smaller: 28 or x?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3 - 184*b**2 - 9605*b - 101150.\nAnswer: -(b + 14)*(b + 85)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus -105530.5?\nAnswer: -105530.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 - 7*x + 5. Let w be k(-7). Suppose w*n - 7*n + 36 = 0. Is 9 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of -p**4\/2 - 61*p**2 - 2*p. Let i(u) = -32*u. Determine j(i(w)).\nAnswer: 384*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -33987894*k - 941 - 2*k**2 + 33988866*k - 29 = 0?\nAnswer: 1, 485","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of -u**5\/30 + 36*u**2. Let x(b) = 56*b - 8. Let f(q) = -19*q + 3. Let l(h) = -8*f(h) - 3*x(h). Determine l(c(g)).\nAnswer: 32*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/73556 and 5\/7271536.\nAnswer: 50900752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + (-31 - 0 - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -107811443 and -136.1.\nAnswer: -107811579.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1043405, -0.1, -2\/15?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 2\/15, -1, -29?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - -25) + (-2)\/(-2). Suppose -3*j = j + n. Let g(z) = z + 11. Calculate the remainder when 6 is divided by g(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -9*q + 112. Suppose -q - 4 = -2*p. What is the lowest common multiple of 101\/5 + (-4)\/20 and p?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8 (b) -0.2 (c) -1\/31120\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 80 + -80.032. Which is smaller: 2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(-6)\/s)\/s)\/s**(2\/13)*s*s\/(s**(-3)\/s)*s*((((s*s**6\/s)\/s)\/s)\/s)\/s)**(-1\/8) assuming s is positive.\nAnswer: s**(-3\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -6*m**3 - 72*m**2 + 767*m - 674. Let l(w) = 15*w**3 + 180*w**2 - 1917*w + 1686. Let y(r) = 5*l(r) + 12*n(r). Find u, given that y(u) = 0.\nAnswer: -19, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000773 rounded to six decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.05 milligrams to grams.\nAnswer: 0.00605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (276\/(-18))\/2*(140\/(-210))\/((-4)\/18).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 312 - 294 = -6*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6\/5545 - 238381\/49905. Which is smaller: -5 or n?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64213 = 60*z - 66467. What is the highest common factor of z and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 75, 103, 87, 27?\n\"Answer: -22*q**2 + 94*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/7 - 2*u**2 - 13*u\/7.\nAnswer: -u*(u + 1)*(u + 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 199571.1 take away 4?\nAnswer: 199567.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 10*o**2 - 69*o - 4. Let l be q(7). Suppose 2*m - 7 = -l. Solve 5 = -m*z + z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxn when three letters picked without replacement from {n: 3, x: 4}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) 83 (c) 17 (d) -0.5 (e) -0.4 (f) 3\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 34*z**3 - z**2 - 4*z - 5. What is the remainder when 780 is divided by w(2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -1 - -3 - (8 + 2 - (84 - 67))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30954992*l*u + 6002*u + 2513 wrt l.\nAnswer: -30954992*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 - (-27 + (41 - 19) + 4)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13420 by 56.\nAnswer: -3355\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/7, -2\/245, 0.0088?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - (-58)\/(-4))*(-4)\/5. Let t be (6\/k)\/(26\/182). Suppose 5*w - t*w = 0. Solve -2*b - 1 + 5 = w for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/131 = -709.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-2*sqrt(77) + sqrt(77))\/sqrt(7)*-1 - (sqrt(44)*1 + -2 + 5).\nAnswer: -3 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5 = -k - 3, 0 = k + 3. Suppose 0 = -q - 3*f + b, -5*f - 5 = -0*q - 5*q. Let l be 2 - 1 - (-1)\/(-2). Is l at least q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 540*j - 92*j - 7421 - 10499 for j.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -7*o - 1. Let b be 1\/(-1) - (-4 - o). Find d such that 18 + 16*d - b - 700*d**2 + 704*d**2 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 62665846 and 10.\nAnswer: 313329230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 2*q = -5*c + 41, 2*q = -4*c + 52. Let s(x) = -2*x**2 + 9*x + 3 + 0*x + 5*x**2 - 4*x**2. Calculate the lowest common multiple of s(9) and c.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 94488761?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59768578.000044 - 59768405. Let d = 173 - h. Round d to 6 decimal places.\nAnswer: -0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + 6 - -3) + -5 + -1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 51*k + 543. Let w be u(-8). Suppose -37*r = 8*r - w. Let b(n) = -n + 4. Let t be b(7). Put r, t, -2, 1 in descending order.\nAnswer: r, 1, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 550, 4566, 15460, 36670, 71634?\nAnswer: 123790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28.1 + -36. Let h = -24 - -16. Let a = h - w. Put 2, -1\/2, a in increasing order.\nAnswer: -1\/2, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -85 + 79. Is 0 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u + 157*u = -361*u - 969*u + 49269 for u.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 26, 41, 56, 71?\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 16 = -q. Let j be 0\/(-3 - q\/4). Suppose 0 = n - j*n - 27. Calculate the smallest common multiple of 3 and n.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**7\/s)\/s*s**(-7\/2)*s*s**(-2\/43)\/s*s*s*s**(1\/12)*s*s)**(-50) assuming s is positive.\nAnswer: s**(-71425\/258)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -28897.232 rounded to the nearest ten?\nAnswer: -28900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from scsddcwwcfcsssacsc. Give prob of sequence wsfa.\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 0. Let r(c) be the first derivative of -1\/3*c**3 + 1\/4*c**4 - c - 75 + 1\/2*c**2. Calculate r(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -6*w + 7*w - 12, -f = -w - 3. Find the first derivative of -4*c - f*c**2 + 2*c**2 - 2*c**2 + 2*c**2 - 57 wrt c.\nAnswer: -2*c - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (502 - 148*o**2 - 999 + 497)*(7*o - 3*o - 6*o) - 2*o**3 + o - o in the form a + i*o + s*o**2 + n*o**3 and give n.\nAnswer: 294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5\/18116 (b) -1 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 360 + -222. Suppose 3*y - x = -4*w, -w - w = -6. Calculate the remainder when 71 is divided by y.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 35 and 42?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15)\/(-9) + (-12)\/(-9). Suppose -z*v - 2*t - 3330004 = 0, -v - 5*t - 1184191 = -74181. What is v rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u*(u*u\/(u*u**(-12\/11))*u*u)\/u)\/(u**(2\/7)\/u)*(u**(-6)*u)\/(u*u*u**(-33)*u))**(-47) assuming u is positive.\nAnswer: u**(-115103\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35674639?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2*h + 15 = -0*v, 0 = -2*v - h + 9. Let w be v + -1 + 76 + 2. Suppose 0 = -u - 4*u + w. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of -m**7\/28 - 21*m**6\/4 - 927*m**5\/40 - 307*m**4\/8 - 51*m**3\/2 + 119*m + 4. Factor p(a).\nAnswer: -3*a*(a + 1)**3*(a + 102)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9 - 36)\/(-5) + 3. Let x be ((-1)\/(-3))\/(2\/30). Suppose -n - 3*t = -x*t - 88, -4*n + 2*t = -376. What is the greatest common divisor of b and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55003847 to the nearest integer?\nAnswer: 7416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/288544808 and -1\/33946448.\nAnswer: 577089616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.2 - -4.3. Let m be (-2)\/10 + (1 - 1). What is the smallest value in m, p, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35877 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3*o - o = -6, -2*o = 0. Let g be 80\/3 + (-26)\/39. Calculate the remainder when g\/6 - 10\/(-15) is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fxjot. What is prob of picking 1 t, 1 f, and 1 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(5\/8)*(-7)\/14?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 8 + 28)*(-7 + 0 + 5)*(0 - 1 + 0 + 10*i) as n + x*i and give x.\nAnswer: -400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 2. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31.9 + -164.1. Let w = -22 - b. Let h = w + -173.9827. Round h to three decimal places.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + -5 - -1) + (1 - -7).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/9*(-3)\/2. Let h = 41175 - 41174. What is the nearest to -2 in h, g, 3\/4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 17*d**2 + d + 71. Is u(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**4 - 103*s + 19*s + 2259*s**2 - 2257*s**2)*(-5*s + 0 + 0).\nAnswer: -5*s**5 - 10*s**3 + 420*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/3)\/((-22)\/33) + 0. What is the closest to f in 0.04, -0.1, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) -353 (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23805913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of i**4\/4 - 4*i**3\/3 - i**2 + 12*i - 17. Does 35 divide k(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -2.25?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 4*t**2 - 2*t - 9. Let y be g(7). Let v = -70 + y. Calculate the greatest common factor of 9 and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -17 + -954794?\nAnswer: -9547ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 124577.4 and -4.617.\nAnswer: 124572.783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14194980 and 13580.\nAnswer: 1940","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 140 and 160?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yuuuuuuuuuuuuyuuuuuu. What is prob of sequence uu?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of 2*w**5 + 4*w**3 - 99*w**2 + 73. Find the second derivative of z(g) wrt g.\nAnswer: 120*g**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - 35*f + 392. Let t be m(9). Let o(d) = 4*d**3 + 15*d**2 - 4. Calculate o(t).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*(0 - (-39)\/(-2)). Let l = g - -27. What are the prime factors of (l - -1)*(-7 + 4)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23352 divided by -4\nAnswer: 5838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1183.671036 from 0.12.\nAnswer: 1183.791036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -177.43 - -177. Which is bigger: -2\/5 or z?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**4 + z**4 + 0*z**4)*(0*z + 9*z + 19*z) - 3*z**5 + 3*z**5 + 2*z**5.\nAnswer: 30*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -69*c**3 + 277*c**2 - 280*c + 4.\nAnswer: -(c - 2)**2*(69*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 10:21 AM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 4655\nAnswer: -1\/665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 41 * -5303\nAnswer: -217423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -12, 0.6, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -607*x**4 + 1498*x**2?\nAnswer: -14568*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -306 + 149 + i**3 + i**3 + 157.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -470 divided by -20555?\nAnswer: 94\/4111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 PM and 10:57 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(18 + -8)*(-88)\/33. Solve r*j**5 - 32\/3*j**4 - 103\/3*j**2 + 17*j - 3 + 89\/3*j**3 = 0 for j.\nAnswer: 1\/2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/6)\/(-1)*18\/(-54). Let u(c) be the first derivative of -p*c**3 - 3\/4*c**2 - c + 14. Factor u(m).\nAnswer: -(m + 1)*(m + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*l**2 - 8*l**2 - 6*l**2.\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 5*n = 5, 2*c - 4*n + 1 = -5*n. Let h(k) = -k + c*k + 5*k + 4 - 3*k. What is h(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14777.165+-0.02\nAnswer: -14777.185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7 - (-92)\/13)*-2. Let m = -5 + 2. Which is the closest to 3.5? (a) 0.3 (b) u (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 - -9. Let x be 41999998\/n - 28\/210. Round x to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -700324 - -4?\nAnswer: -700320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000649112905 to 7 decimal places.\nAnswer: -0.0000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 469 (b) -2\/7 (c) 2\/17 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n - 151. Let w(h) = 76. Let u(j) = 3*d(j) + 7*w(j). Calculate the lowest common multiple of u(-21) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(((-6)\/(-18))\/((-1)\/6)). Solve 2*y + i*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-2)\/(-17))\/((-144)\/1674) and -65\/36.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o**3 + 36*o**2 - 37*o - 4. What is k(-19)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3273 is divided by 328?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mrr when three letters picked without replacement from {v: 8, r: 3, m: 6}.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -11212001200 (base 3) in base 11?\nAnswer: -65869","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (28 + -33)\/(0 + -1). Suppose 2*c = -3*i + f*c + 24, -36 = -2*i - 3*c. Let r be 21\/i + 9\/36. Put r, -0.2, 3\/2, 0 in ascending order.\nAnswer: -0.2, 0, 3\/2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 57641*s = -57636*s + 32, -3*s = 4*f - 32 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 261828*i**2 - 130912*i**2 - 130923*i**2.\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 18025 times -0.4\nAnswer: -7210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 3)*(-f - 2*f + 0*f + (9*f - f + 2*f)*(-1 - 1 + 0)).\nAnswer: -46*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1338?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*u - 685 = -685 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -10670 divided by 2134\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 1060*w - 241. Is z(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 42 + 30 = 0. Suppose 2*q = x - 15057, -s*x + 6*q - q = -45170. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1169, 2343, 3519, 4697, 5877, 7059?\n\"Answer: n**2 + 1171*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80887*x - 38559*x - 42325*x.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 26 = -v - 7, 0 = -5*v - 3*m - 15. Let h be (v + 1)\/1*-1. What is the second derivative of 4 - 4 - 3*b + h*b**2 wrt b?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c**4 + 28*c**3 + 216*c**2 + 288*c = 0. What is c?\nAnswer: -3, -2, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 3:26 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/183722 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -14*i**3 - 9*i + 13. Calculate n(2).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-8) - (-10)\/8. What is the common denominator of ((-444)\/480)\/((-546)\/(-35) - 16) and (-874)\/220 - r\/(-5)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 51\/44 + -10\/11. Let h = 1\/4 + 0. Factor -j*l**2 + 0 + h*l.\nAnswer: -l*(l - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p = -12*i + p - 121, 253*p + 83 = -11*i + 254*p for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bvvf when four letters picked without replacement from {d: 1, b: 3, f: 1, v: 2}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) + (sqrt(847) + 0 + sqrt(847))*3 + (-2*(sqrt(28) - (sqrt(112)\/sqrt(4) - sqrt(28))))\/sqrt(4))**2.\nAnswer: 39375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*d**3 - 542856*d**2 - 6337509*d + 1 wrt d.\nAnswer: 102*d - 1085712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 448374660?\nAnswer: 2, 3, 5, 17, 439583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - j + 3. Let x be s(4). Solve 0 = 5*g + 5*n - x, -2*g - 3*n - 3 = -5*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of 17*r**5\/60 - r**4\/12 + r**3\/2 + 14*r**2. Is o(-3) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4627043 - 6510043. Round l to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-597)\/(-54810) - 3023\/175334.\nAnswer: -2\/315","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cbbcccacbb. What is prob of picking 1 b, 1 a, and 1 c?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -170 - -2552\/15. Let h = -0.1 + 0.8. Let j = 0.4 - h. Which is the third smallest value? (a) -0.1 (b) j (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1601, 3237, 4873, 6509?\n\"Answer: 1636*j - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 412660*i**3 + 3*i**2 + 11*i - 13. Let u be r(1). Suppose 3*f = 40*f - u. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/3 + 331*p\/3 + 14840\/3.\nAnswer: -(p - 371)*(p + 40)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4427 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 165915 and 615.\nAnswer: 6802515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.9 + -0.9. Let d = o - 4.9. Let z be -2 + -1*(-12)\/2. Which is the closest to d? (a) -4 (b) z (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2. Let i(d) = -4*d. Determine r(i(z)).\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of -11*d**6\/6 - 3*d**2\/2 - 5. Find the second derivative of l(v) wrt v.\nAnswer: -220*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -160\/13 - -2668\/221. Let w = -8\/7 - -54\/35. Which is the third biggest value? (a) -0.2 (b) 0.3 (c) p (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200680178021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 3, 0.1, 4\/9, 761, 4\/7?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/25)\/i)**(2\/139) assuming i is positive.\nAnswer: i**(-46\/3475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7910523001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(1\/4)*y)**(10\/13)*y**6\/y**7)**(-45))**(-43) assuming y is positive.\nAnswer: y**(36765\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3535*i + 2252 + 1705*i - 2252 + 1942*i.\nAnswer: 7182*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146108261.\nAnswer: 13, 1871, 6007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79731.61 millilitres to litres.\nAnswer: 79.73161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 102609474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 - r + 2. Let q = -4 - -2. Let g be k(q). What is the units digit of (8 + g)\/(1 - 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*g + 13*g - 18*g = -p + 27, 0 = -38*g + 114 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -906 + 905.8. What is the closest to m in 21, 2\/9, -4, -5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - 8. Suppose -2*m + 2*v - 34 = m, -32 = u*m + 4*v. Let x = m + 29. List the prime factors of x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -4 - 10) + 19\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39, -147, -327, -579, -903, -1299, -1767?\nAnswer: -2307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 313*s**3 + 2*s**2 - 7*s + 1. What is the tens digit of m(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192 is divided by 102?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -120.694049 + 0.669649. Let k = l + 120. Round k to three decimal places.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -628\nAnswer: -1\/628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*d*j**4 - 6*d*j**3 - 6*d*j**2 + 2*d*j - d - 2*j**4 wrt j.\nAnswer: -120*d*j - 36*d - 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1105 or -1493118\/1351?\nAnswer: -1105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 - 75 + 39 + 160372*m + 23*m**2 - 160371*m.\nAnswer: 23*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z + 2. Let p be (0 + 0 + -1)*5. Let m be r(p). Let k be m - (-3 + (1 - 0)). Let v(a) = -4*a**2 - a - 1. What is v(k)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12782431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 785? (a) 1\/3 (b) -71 (c) -8 (d) 0.26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 381*n. Let i(t) = 96*t**2. Calculate i(h(p)).\nAnswer: 13935456*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3120*w - 8814*w + 4818*w - 7050*w.\nAnswer: -14166*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fjxi when four letters picked without replacement from djixixxxwfwdiiiwwiij.\nAnswer: 7\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3*r + 2*r + 14 = 0, 0 = -2*r - 4. Suppose 0 = -2*y - 0 + 6. Is d less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -86909*n - 608365. Determine x(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3*f + 37 = -0*r, 5*r - 3*f - 79 = 0. Determine y so that 5*y**5 - 14*y**2 - 35*y**4 - 27*y + 81*y**3 - 111*y**2 - 20 + r*y**3 + 107*y = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/4*(-26)\/((-6318)\/(-27)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1138 + -1124. Calculate the lowest common multiple of k and 182.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79164.5l in millilitres?\nAnswer: 79164500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -d3c (base 14) in base 8?\nAnswer: -5052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 = -2*f - 0*f - 4*z, 0 = -3*f - 5*z + 218. Suppose 4*a + 5*u - 82 = 0, 3*u = 5*a - a - f. Calculate the least common multiple of a and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*s + 2 - 31*s - 6*s - 252*s**3 + 30*s in the form p*s**2 + g*s + m*s**3 + o and give m.\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/6 - 3416*c**2\/3 - 13658*c\/3 - 4552.\nAnswer: -(c + 2)**2*(c + 6828)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 281567440 and 35195930.\nAnswer: 281567440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1048 is divided by 76?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22*n**6 + 1113869*n**4 + 20448*n**2 - 677*n wrt n?\nAnswer: -2640*n**3 + 26732856*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 418 = -4*q. Let j = q + -299. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8954 is divided by 985?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4\/7 (b) 2\/17 (c) 29 (d) 2\/9 (e) -0.37 (f) 11 (g) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*a**2 + 4*a**2 + 0*a**2)*(-1676*a + 9124*a + 3896*a) in the form u*a**3 + g*a**2 + v + z*a and give u.\nAnswer: 22688","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19\/(19\/(-6)) + 334.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 30*r**3 - 21*r**2 - r + 1. Calculate z(-3).\nAnswer: -995","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1511612655.\nAnswer: 3, 5, 7, 14396311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by 397\nAnswer: 14\/397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 44682 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = o + 5 + 1, 3*o - 30 = 3*b. Suppose 0 = u + o - 42. Let q = -19 + u. Calculate the remainder when 30 is divided by q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -19*h**2 - 2*h - 1. Let p be o(-1). Let x = -12 - p. Let z(f) = -2 - 4*f + 2. Let i(k) = -15*k. What is x*i(y) - 22*z(y)?\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 737993 is divided by 18446?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(2\/16*2). Let n = 220 - 237. Let d = z - n. Calculate the least common multiple of 3 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-369*z**2 + 193*z**2 - 10333*z**3 + 176*z**2)*(2 - 7 + 0).\nAnswer: 51665*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/(-18)*15\/(1800\/48). Let m = -13 + 13.2. Let y = -10\/21 - -16\/21. Which is the closest to m? (a) v (b) -0.4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 416c7 + -2?\nAnswer: 416c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74875 is divided by 2079.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -g**6\/360 + g**5\/20 - 3*g**4\/8 + 2*g**3 + 17. Let f(y) be the third derivative of p(y). Factor f(l).\nAnswer: -(l - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 137, 882 in descending order.\nAnswer: 882, 137, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x**2 + 43*x + 112. Is 49 a factor of w(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/5499 and 55\/9.\nAnswer: 5499","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + d - 183 = 0. Let g = 87 + d. Let j = g - 13. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6877319 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8474.654 hours in seconds?\nAnswer: 30508754.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.4328342 rounded to one dp?\nAnswer: -22.4","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*w = -0*w - 5*w + 7264042. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33998202 rounded to the nearest ten thousand?\nAnswer: -34000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -3*r**2. Let v(j) = 242*j**2 - 132*j - 264. Let k(x) = x**2 - x - 2. Suppose 2*i = 4, 2*p - 5*i + 341 = 67. Let z(m) = p*k(m) + v(m). Give z(w(l)).\nAnswer: 990*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -2*v - 6 + 8, 0 = -3*c + 4*v + 6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, 2, -4, -26 in ascending order.\nAnswer: -26, -4, -3, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 150 times 481879\nAnswer: 72281850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 12*k - 100. Solve 4*a - 10 = 4*g + k, -2*g = a + 10 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-5)*8 + 544\/72?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-d - 187 + 187)*(-3*d + 47 - 47)*(-11 - 11 - 2*d + 8) as z*d + a + l*d**3 + m*d**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -192391099 by 264637.\nAnswer: -727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*z - 10*z + 4*z - 2 + 2 + z + (2 - 1 - 3)*(-z - 4*z + 4*z))*(-z**3 + 6*z**3 - 4*z**3) in the form v*z**4 + p*z**3 + b*z**2 + j + r*z and give v.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -12212110001022 (base 3) in base 16?\nAnswer: -2f9669","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1053 divided by 8?\nAnswer: -1053\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (630\/(-24675))\/(9\/15).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 70*z + 794. What is u(-13)?\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 15 = 0, 3 + 52 = -3*t - n. Let s be (t + -1)*(-9 - -2). Suppose -s - 507 = -6*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 4*i**2 + 2*i - 7. Let a(g) = -11*g**2 - 5*g + 20. Let u(c) = -6*a(c) - 17*k(c). Let l(m) be the first derivative of u(m). Is l(-7) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200.9250813465 less than -2?\nAnswer: -202.9250813465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, z: 4, i: 2, o: 2, m: 6, h: 1}. Give prob of picking 2 m and 1 h.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 15643*m + 78379. Calculate n(-5).\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2518 times 0.0966?\nAnswer: 243.2388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -322.75173 and -47922.\nAnswer: -48244.75173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 76.55 + -79.55. Which is the closest to 2\/3? (a) -255 (b) -5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4 + (sqrt(14)\/sqrt(28)*-4)**2).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 9 = 5*m, m - 4*w = w - 3. Let p(d) = -d**3 + 6*d**2 - 5*d - 4. Calculate the least common multiple of p(4) and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 361717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 351336596.\nAnswer: 2, 13, 269, 25117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -19\/2890275?\nAnswer: -19\/2890275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24 - -1 - -18) + 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3350 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 e, and 1 m when three letters picked without replacement from kmemkwk.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 38*b**2 - 15*b + 15. Determine u(1).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -33. Let z be ((-14)\/6)\/((-8)\/48). Suppose -2*h - z = -p - 0*h, -7 = -p - 5*h. What is the smallest common multiple of p and v?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of -y**4\/12 + 7*y**3\/6 + 5*y**2\/2 + 30*y. Give h(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2283111 from -11.\nAnswer: -2283122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -16*i + 9. Let p be b(-15). Let t = p - 122. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of -a**4\/12 - 14*a**3 + 86*a**2 + 3297*a. Factor v(p).\nAnswer: -(p - 2)*(p + 86)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 106*i - 1807. Calculate r(17).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1506, 1486, 1466, 1446, 1426?\nAnswer: 1406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + j - 6. Let v be b(0). Let m = v - -9. Suppose -m = -k + 17. Calculate the remainder when 59 is divided by k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l + 3. Let s be m(4). Let c be (s - 0)*6\/(-10). List the prime factors of (12 - 5)\/(-2 + c).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence guf when three letters picked without replacement from fcegfufgcffgfcg.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (1*sqrt(250)*4)\/(sqrt(405)\/sqrt(9)))*1.\nAnswer: 1 + 20*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31 - 1568\/96)*10\/(-260)*-13?\nAnswer: -71\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 27097*k**3 - 20092?\nAnswer: 81291*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 2*l - 14. Let f = l - 7. Solve 5*s + 4 = -4*d, 3*d + 5*s + f = -8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (227 - 7*y - 384 + 321 + y**2)*(-4 + 4 + y).\nAnswer: y**3 - 7*y**2 + 164*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20? (a) -1\/7 (b) -1\/10 (c) -2 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, o: 1, r: 1, a: 4, u: 1}. Give prob of picking 1 o and 1 a.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f + 1. Suppose -2*o + 4*r - 6 = -o, r - 11 = 5*o. Let d be h(o). Suppose 4*j - j - 69 = -3*s, -s - 115 = -d*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + (-60)\/(-32))*213. Let v = w + -71\/8. Calculate the common denominator of -83\/2 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 6:03 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2454 divided by -125\nAnswer: -2454\/125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -5522*w. Let p(n) = 2*n + 3896. Determine p(l(j)).\nAnswer: -11044*j + 3896","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 - (120 + -112 + (0 - (1 - -11)) + -3).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -4*c. Let j(t) = -471816*t. Determine j(n(a)).\nAnswer: 1887264*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1237085 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 914, 81, -0.08, -1, 2?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2317\/6 - 2 - -10*(-1)\/60. What is the highest common factor of 24 and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -7 - (18 + (18 - 12) + -15)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 725813?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - x + 2 = 0. Suppose v = 2*f + 14, -f = -2*v + 41 - x. Calculate the greatest common factor of v and 176.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 651 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6\/43 or -315.9?\nAnswer: 6\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1915 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -8*w - 3283*w**3 + 3281*w**3 - 5*w**2 - 3*w**2. Let v be -1 + 1\/(22\/8 + -3). Does 15 divide r(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 1161*u**3 - 5*u**2 - 46*u + 200. List the prime factors of w(4).\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of 7*g**4\/12 + 2*g**3\/3 + 3*g**2\/2 + 27*g. Is 38 a factor of z(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 264965 and 12805.\nAnswer: 985","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/8*(-12)\/(-8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -39.8075 and -535.\nAnswer: 21297.0125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/2 - 850\/(-136).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 - 11*u - 10. Let m be g(-10). Let i(l) = -l + 3. Let d be i(m). Suppose n = -j + 58, -d*j = 4*n + 85 - 317. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 30, 56, 84?\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-35)\/(-2) - 2\/(-4). Suppose 2*t = -t + n. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 47 and 1430892299?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 17 (b) 1\/7 (c) 2 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert b (base 12) to base 8.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1669717.\nAnswer: 7, 238531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 6*d = -2, 0 = 2*z - 2*d - 6 + 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 14 + -20 + 12.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13378091?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-45)\/18 - 0)\/((-5)\/6). Calculate the greatest common divisor of w and 135.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) + -1 + 0 + sqrt(847) + sqrt(847) - (-2*sqrt(847) + sqrt(847) + 3))**2*-6 - ((2 + 1*(2 + sqrt(847)))**2 + -1).\nAnswer: -82270 + 2024*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v\/v**(-2\/3))**(-1\/13)\/((v\/(v\/v**(11\/4))*v)\/((v\/(v*((v*v**(1\/10))\/v)\/v*v))\/v*v)) assuming v is positive.\nAnswer: v**(-3223\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 times 19763?\nAnswer: -335971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126*a - 58 - 22 = -131*a. Solve 9*v - 29 - a = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 2*p + 2396 = 2363, -31*p + 22 = 2*x for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 112889176?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 + -19. What is the nearest to -0.2 in r, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-10)\/1)\/((-16)\/72*(6 - 3)). Solve 39*q + 144 = a*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**26*k)*k)\/(k**(-6\/25)*k))\/((k*k\/k**1)\/k)**(1\/4) assuming k is positive.\nAnswer: k**(-644\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1 + sqrt(8)) + 4*1*sqrt(32))**2 + (sqrt(72) + -2*(0 + sqrt(72) + sqrt(72)))**2 + 2 + sqrt(8) + 3.\nAnswer: -46*sqrt(2) + 721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79110.69 decades to months.\nAnswer: 9493282.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 346667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2997 + -35?\nAnswer: 2962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 384\/31 - 5154\/341. Let p = -152 - -218. Calculate the common denominator of (p\/(-28))\/((-11)\/(1386\/12)) and l.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/4 + 123\/164. Let u(q) be the first derivative of -5 + q - z*q**2. Give u(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 12:08 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*i - 24 = -21*i. Suppose 5*l = -2*t - 105 + 307, 204 = 5*l + i*t. Let w = l + -4. Is 6 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 0 - (12 - 15).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zxp when three letters picked without replacement from pzppxxzx.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -223 - -223.2. Let y = 2.9 - -1.1. Sort -0.2, y, k in decreasing order.\nAnswer: y, k, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 26*t**2 + 12*t - 55. List the prime factors of f(4).\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 50998317?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - 1387. Let u(p) = 4*p**2. Determine u(d(c)).\nAnswer: 4*c**4 - 11096*c**2 + 7695076","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 5, -132, -30, 0 in decreasing order.\nAnswer: 5, 0, -0.4, -30, -132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19\/5 in 1, -1, -2.5, 1\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2788*a - 2424*a - 1 - 1 + 2.\nAnswer: -5212*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5 - 3)*1\/(-2). Let c = -114 - -119. Suppose c*o + 48 = 33. Put 1, 3, o, t in ascending order.\nAnswer: o, t, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/9 - 14*c\/3 - 1892\/9.\nAnswer: 2*(c - 43)*(c + 22)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1*3\/5 + ((-1215207)\/(-105) - -17)?\nAnswer: 67, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 124 + -72. Let r be 65*((-16)\/(-10) + -2). Calculate the remainder when (-940)\/r - 8\/g is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15d (base 15) to base 5\nAnswer: -2223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -429*s = 8403*s - 1581 + 107565 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*q - 618 - 6 = 0. Let d(o) = -2*o**3 + 15*o**2 - 19*o + 9. Calculate d(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7544\/(-11316) + (-23)\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 69673222?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -6996*v + 54343. What is w(8)?\nAnswer: -1625","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cddlcdqdvqddcqdcd. Give prob of sequence lqdc.\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 17 = l - 2*b, b - 3 = 0. Suppose 5*h - l*m = 90, 4*h - 2*m + m = 57. Calculate the greatest common divisor of h and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 1 = -4. Suppose -8*r + q*r - 3 = 0. Which is the smallest value? (a) r (b) -9\/5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30028196?\nAnswer: 2, 11, 359, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 7 = -5*w, -2*p - p - 17 = -2*w. Let t(q) = q**3 + 11*q**2 + 6*q - 6. Does 13 divide t(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4021 to 2 decimal places.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -3*p + 44. Let y be t(14). Suppose -n**2 - 2*n**y - 48 - 10*n - 8*n - 6*n = 0. What is n?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*p**3 + 8*p**3 + 14*p**3.\nAnswer: -24*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 336*o + 2044. Determine u(-6).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen tenths of a kilogram in grams?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + k = -10, -2*a + k + 8 + 7 = 0. Suppose -5*w + a*x + 4 + 16 = 0, 4*x = 0. Solve -4*n - 2 = -q - 2*n, 12 = w*q - 4*n for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19546 is divided by 4728?\nAnswer: 634","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 99 = -2*u + 3*g, 5*u + 3*g = 247. Suppose 0 = -45*w + u*w - 16015. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 2\/5, 0.5, 13328, -4, -4\/3, 11?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*q + 120727 = -210936 + 32511. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.03 (b) 251\/3 (c) 7556\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11338538 divided by -13093?\nAnswer: -866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 - ((-396)\/(-330) - (-6)\/(-5)). Let h(m) = -m**3 + 7*m**2 + 2*m - 10. Calculate h(d).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-24)*(-2016)\/(-22848)?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -9. Sort l, 2\/7, -5.\nAnswer: -5, l, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.5 and -1.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -46947*y + 11. Let w be d(7). Let j = 492618 + w. Round j to the nearest ten thousand.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of c**8\/3360 + c**5\/120 + c**4\/8 + 2*c**2. Let f(m) be the second derivative of i(m). What is the derivative of f(t) wrt t?\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(2\/9)\/i*i*i)\/i)\/(i*i\/i**4))\/(i**0)**45 assuming i is positive.\nAnswer: i**(20\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2714, 2691, 2670, 2651, 2634, 2619?\n\"Answer: c**2 - 26*c + 2739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 851?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*d**4 + 44*d**3 - 44*d**3)*(7*d + 6 - 5*d - 3*d).\nAnswer: 10*d**5 - 60*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(972) + sqrt(972) + (sqrt(972) - -3*sqrt(972)*1))*-6)\/(4*(-3*(sqrt(256) - 1*sqrt(256)) + sqrt(256))).\nAnswer: -81*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 46047 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44 + 36. Let l(q) = q**3 + 8*q**2 - 4. Give l(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.52 + -7.5202294. Round i to 5 dps.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c - 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 218344\/7241 + (-4)\/26. Let k(x) be the second derivative of 0 + 3\/20*x**6 - 3\/4*x**2 + n*x - 1\/4*x**4 + 1\/28*x**7 + 3\/20*x**5 - 3\/4*x**3. Factor k(d).\nAnswer: 3*(d - 1)*(d + 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126067 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 89.53 - 90. Let m = -1.587 + 0.117. Let g = m - f. Are 0.03 and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**5\/5 + 22*w**4\/5 - 14*w**3\/5 - 62*w**2\/5 + 16*w\/5 + 8 = 0. What is w?\nAnswer: -1, 1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 8*s - c = -30, -2*s + 5*c + 81 = 0. Solve 2*r + 7 = -5*x, -4 = 37*x - s*x + 2*r for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1782?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -4*w + 2631. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160712969 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6883\/32 or -214?\nAnswer: -214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -386?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**2 + 3*r**2 - r**2)*(-r - r + 3*r) + (-2 + 1 + 0)*(-r**3 + 0*r**3 - r**3) - 93*r + 93*r - 12*r**3 + 5*r**3 - 7*r**2 + 7*r**2.\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 + 8*s + 11. Let x = -308 + 313. Suppose 2*j - 3*f + 19 = 0, f = x*j + 5*f + 36. Give m(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -185 and -76918 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139133.\nAnswer: 139133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -898 + 922. Solve 3*q = c*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, z: 4, e: 1, f: 2, s: 1, b: 3}. Give prob of picking 1 s and 1 z.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29524999, 59050008, 88575017, 118100026?\nAnswer: 147625035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y - 4*i - 4619 + 4683, 2*i - 50 = 3*y for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + i - 4. Suppose 2 = -f + i. Are -2 and f non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 3*f**2 + 4*f - 2. Let a be o(2). Let v(w) = 0*w + 3*w - a*w - 1. List the prime factors of v(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + b**4 + 5*b**4 - 4*b**4)*((0 + 3 + 0)*(1 - 3 - 3) + 4 - 4 - 2).\nAnswer: -34*b**4 + 34*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of g**6\/24 - g**5\/10 - g**4\/4 + 2*g**3\/3 + 219. Suppose v(p) = 0. Calculate p.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/1956417 and -53\/19?\nAnswer: 37171923","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = 3*k + 12. Suppose -6*w + 40 = -2*w. What is the remainder when w is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71 + 899.\nAnswer: 970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of c**7\/42 + 2*c**6\/15 + c**5\/4 + c**4\/6 + 7*c. Factor w(q).\nAnswer: q**2*(q + 1)**2*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuduuuuuduuduuduuu. Give prob of picking 1 d and 2 u.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3*b - 3. Determine v(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r. Let v be g(0). Suppose 2*p + 5 = q, q - 2*q - p + 2 = v. Suppose -m + 48 = q*m. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -98*n. Let r(q) = -q. Calculate s(r(c)).\nAnswer: 98*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000534449 rounded to seven dps?\nAnswer: -0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeov when four letters picked without replacement from eeoevevovvvvoeo.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5602 at least as big as 5602?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - t + 38. Calculate the remainder when 37 is divided by t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/(-3) + (-6 - 9\/(-3)). What is the second smallest value in u, -0.2, -20, 0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120211100111100 (base 3) in base 5?\nAnswer: -4123132222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of -f**5\/60 + f**4 - 35*f**3\/6 - 2557*f**2. Calculate v(18).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1732*r**4\/3 + 1176016*r**3\/3 - 2338712*r**2\/3 + 1156304*r\/3 + 2708 = 0 for r.\nAnswer: -3\/433, 1, 677","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 + 3. Let z = 30.8 - g. Let p = z + 2.3. Put -3\/7, p, -2 in decreasing order.\nAnswer: p, -3\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60607?\nAnswer: 60607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, e: 1, q: 11, h: 2}. What is prob of sequence qq?\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -22 - -24 - (3 - 5). Solve p = -0*o - o - 7, -3*o = -i*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -42*o + 24. Let q(a) be the second derivative of 7*a**3\/3 - 9*a**2\/2 + 2*a + 10. Let n(t) = 8*q(t) + 3*s(t). Let f(r) = -7*r**2. What is n(f(j))?\nAnswer: 98*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 6*z**2 - 38*z - 178. Let r(c) = 13*c + 46 + 13 - 9*c**2 + 7*c**2. Let p(l) = 3*i(l) + 10*r(l). What is the first derivative of p(u) wrt u?\nAnswer: -4*u + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 672700 to the nearest ten thousand.\nAnswer: 670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 49 - 69. Let n be (10\/6)\/5 + (-2990)\/6. Let s = -515 - n. Is s equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25758412?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*2.5.\nAnswer: -7.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -4*k - 214. Let z = k + 42. Is -2 less than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5942.4762 to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14662 - -14667. Sort 0.2, 4, 361, -5, u.\nAnswer: -5, 0.2, 4, u, 361","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2080 and 220110280?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 3.6. Suppose -9 = 3*z - 24. Which is the nearest to -0.1? (a) -1 (b) q (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7829 - 2055 = 2471*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 j when four letters picked without replacement from wwnwwwiwwwwfwfwjjii.\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 1)*(-3*a**3 - 2*a**3 + 6*a**3 + (3*a + 0*a + 0*a)*(3 - 3 - 3*a**2)).\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11467?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by 96?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-2\/5)*s\/s**2)**(-2\/9))**(-18) assuming s is positive.\nAnswer: s**(-8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in centuries?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 0.5, 100, -2.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3024.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2146133, -4292267, -6438401, -8584535?\nAnswer: -10730669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -98110.22 + 96589. Let g = -1504 - y. Let o = 17 - g. What is o rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*u**2 - 4*u**2 - 1202 + 1202 + 8*u.\nAnswer: 3*u**2 + 8*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/96 and -57\/160.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/5, -3, -2, 0.5, 4619, 5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + 0. Let g = -42 - -45. Suppose -g*y + a*y - 2*o - 2 = 0, 5*o = 3*y - 16. Solve -y = i - 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195*b - 317*b - 545*b + 215*b - 58940 = 0 for b.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/133049 and -89\/308?\nAnswer: 5854156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**5 + 676*h**4 - 107899*h**3 - 1977824*h**2 - 9523648*h - 7654400 = 0. Calculate h.\nAnswer: -8, -1, 325, 368","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3133346*u**3 + 384981*u**3 - 169577*u**3.\nAnswer: 3348750*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of -q**8\/280 + 11*q**7\/525 - q**6\/60 - q**5\/10 + 2*q**4\/15 + 4*q**3\/15 + 79*q**2. Determine z, given that p(z) = 0.\nAnswer: -1, -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/221375 and -1\/6930.\nAnswer: 3984750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l + 1. Let o = 3371 - 3363. Calculate f(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of 14*x + 1\/2*x**2 + 1\/20*x**5 + 0*x**4 + 0*x**3 + 0. What is the derivative of o(k) wrt k?\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 401 = 395. Is -0.34 at most as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (2 - (0 - (-1 + 0))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y - 3. Let q = -6 + 8. Suppose w = q*w. Calculate i(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 21*h**2 + 5*h - 6. What is the units digit of r(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/2)\/(212\/(-954)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 + -1 + (-5 - -49)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) + 4*(-2*sqrt(119) + sqrt(119)))\/(4*sqrt(7)*-4)*5)**2.\nAnswer: 3825\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -696.511 + 696. Let k = z - -1.511. Which is smaller: 22.3 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 492*c**3 + 3*c**2 + 2*c - 6. Give a(1).\nAnswer: 491","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00173533 to 6 dps.\nAnswer: 0.001735","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.7 (b) -3 (c) 13\/2 (d) -10.05 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*a - 12*a = 540*a + 22220 for a.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -356, -713, -1068, -1421?\n\"Answer: u**2 - 360*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 8:33 AM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/sqrt(3)*1 - -4*sqrt(30)\/sqrt(6).\nAnswer: 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 49703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a litre in millilitres?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 - 8*f + 2. Let j(h) = 2*h + 2. Let p be j(-4). Does 7 divide t(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4\/3 of a day?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 3 + (1 + 2 - 2)*(-14 - 28 + 11))*(4 - 4 + 2*c**4).\nAnswer: -64*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 1, -8535 in ascending order.\nAnswer: -8535, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*i + 61405*i**2 - 20471*i**2 - 20465*i**2 - 20481*i**2.\nAnswer: -12*i**2 - 10*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 + b - 5. Let l be j(0). Let s(w) = 52*w - 2915. Let d be s(55). Sort 3, l, d, -2.\nAnswer: d, l, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -4*w**3\/3 + 116*w**2 - 660*w + 215. Let t(y) = 0. What is y?\nAnswer: 3, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/7248 and 139\/6.\nAnswer: 7248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.12, -2.535, 3, 5, -0.5, 1 in ascending order.\nAnswer: -2.535, -0.5, -0.12, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32421\/5 - 6485. What is the nearest to 0.1 in 0.1, o, -2\/9, 79?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -13. Let b be 146\/12 - 1\/6. Suppose -4*j - f = -43, -5*j - 4*f + b = -28. Calculate the least common multiple of j and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -708 in ascending order.\nAnswer: -708, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 926453?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 210, 4, 2, -4, 10, -2 in descending order.\nAnswer: 210, 10, 4, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 6163.259831 to 1 decimal place.\nAnswer: 6163.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1956 (base 11) to base 8\nAnswer: -4661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2079570880?\nAnswer: 2, 5, 6498659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifth of a decade?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4*-2*sqrt(136) + sqrt(136))\/(sqrt(1152) + sqrt(1152) + sqrt(1152) + sqrt(1152)*1).\nAnswer: -15*sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, p: 7}. Give prob of sequence pi.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -124 by 1.\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 14618921 (b) 1\/5 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of 9*f**4 - f**2\/2 + 1. Let g be b(-1). Let s = g + 59. Calculate the highest common factor of 60 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93117?\nAnswer: 3, 31039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/2 + 7\/1. Let i(d) = d + 12. Let a be i(-9). Solve 4*n + 25 = l*g + a*n, -3*n - 10 = g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -17684 from -18066.9.\nAnswer: -382.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -b - 20. Suppose -b - 3 = -4*r. Is 2 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/(-2))\/(18\/8 + -2). Let x(h) = h**3 + 3. Let l(v) = -v**3 - 2. Calculate y*x(z) - 3*l(z).\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -2*l - 11, 2*b - 2*l + 6 = 2. Let u(x) = x**2 + 6*x + 7. Calculate u(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 433635596 is divided by 447047?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*s = 93*s - 392. Solve -4*m + 5*j = 20, j = 2*m + 3*j - s for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i**3 + 108 - 108.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -80 + 801\/10. Let d = 2045.2 + -2045. What is the nearest to -0.5 in v, 0.5, d?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*i + 18*i = 90 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 t when two letters picked without replacement from ooooooozoozzztoozoz?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 6*w**3 - 7*w. Let f be m(5). Let b be f\/1095 - (-4)\/(-6). Let q = b - -367\/146. Is q less than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5088013 take away 2.4?\nAnswer: 5088010.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3666*x = -3663*x - 38298. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0698 + -0.1487185?\nAnswer: -1.2185185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t - 7. Let r be s(-5). Is (r - (1 - -5)) + 226 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x = -163 - 67. What is the remainder when 64 is divided by x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of i**4\/12 + 3*i**3\/2 - 3*i**2\/2 - 4*i + 3. Let c(p) be the first derivative of b(p). Let h be c(-9). Does -2 = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 + -8 + 4 + 7)*-1. Which is smaller: 64\/95 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(17) + -2 - (-2 + sqrt(85)\/sqrt(5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3356975*o**4\/8 + 1175085*o**3 + 738937*o**2 + 134532*o + 46 = 0.\nAnswer: -2, -2\/5, -46\/134279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -x - 7*x**2 - 7*x**2 + 0*x in the form i*x + f + n*x**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express l**3 - 1 + 3 - 2*l + 5*l**3 - 5*l**3 - l**4 as c*l**3 + h*l**2 + z*l**4 + a*l + u and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 8*q**2 + 3276*q - 277339. Determine o(72).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 16235*n + 3750258. Determine j(-231).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (c - c + 2*c)*(3 - 4 - 1)*(-12 - 18 + 29) to the form w + r*c and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5 + (-4)\/(-4)*-1. Let p(d) = d - 5. Let f be p(9). Let b be (-61)\/j + f\/(-24). Calculate the greatest common factor of 4 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*p + 37*p + 58*p**2 - 21*p**2.\nAnswer: 37*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q + 1. Let f(g) = -2*g + 6. Give f(k) - 3*m(k).\nAnswer: -5*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 54?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7495200 and 12600.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11260 is divided by 96?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 87, 1, -535, -4 in decreasing order.\nAnswer: 87, 1, -4, -535","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40829376 divided by -2401728.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-66 + 61 - 82)*(1 + 3 - 3)*(3 - 2 + 0)*(-3*r + 3*r - 2*r)*(4*r**2 - 9*r**2 + 6*r**2 + 3) to the form p*r**3 + h*r + z + n*r**2 and give h.\nAnswer: 522","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.82 + -0.18. What is the fourth biggest value in z, 0, -0.1, 8?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + 3. Suppose 15 = 3*o - 0*o, b*i + 3*o = 40. Let c(l) = l**3 - 6*l**2 + 7*l - 4. Calculate c(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 2*x - 1 + (0 - 4 - 4)*(-x - x + 6*x).\nAnswer: -30*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -280?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39101994 and 6858.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 444 and 99024?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-12) + (45\/(-30))\/(8\/(-36))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by -15.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a gram in micrograms?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 6*s = 0. Suppose -220 = -4*v - s*v. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/3 + 937*n**2 + 46968*n + 132480.\nAnswer: (n + 3)*(n + 48)*(n + 2760)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*v + 3*v + 213047 = 0. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 7:39 AM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus 1198568?\nAnswer: -1198568.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -5*d**3 + 4*d**3 + 9*d**2 + 4*d**2. Let a be y(13). Suppose -2*z + a*z = -60. Calculate the remainder when 88 is divided by z.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -102, -124, -80, 30, 206, 448?\n\"Answer: 33*x**2 - 121*x - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 15*o - 34. What is the hundreds digit of l(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30846\/13 + -62225\/26. What is the common denominator of ((-154)\/(-128))\/(1 + -2) and b?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -124 or -128?\nAnswer: -124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4\/(-14))\/((-1)\/(-6524)*-4).\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 782111 a multiple of 141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 - 13.88.\nAnswer: -23.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 3*v - 2*v + 4*v + v**3 - 7 + 8*v**2. Let p be (49\/(-14) - -4)*((-2 - -1) + -13). Give g(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a micrometer in nanometers?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.13 - 0.13002. Round q to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 11894*p - 154. List the prime factors of x(1).\nAnswer: 2, 5, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -42. Let q = o - 32. Suppose -2 = -p, 2*j = 5*j + p - q. Calculate the remainder when j is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -212 - -14?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1144968 greater than 1144967?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(425) + -1 + sqrt(425) - (0 + sqrt(425) + -1)) + -5)**2*-2*1*4.\nAnswer: -3912 + 640*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-3)*10528\/1128.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 11 - 2*w**2 + 8)*(0*w - w - 3*w).\nAnswer: 8*w**3 + 8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000013256402 to seven decimal places.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*d - 5*m - 95 = 89*d, 0 = 93*m - 93 for d.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - w**2 + 2*w - 3. Let a be q(2). Suppose 0 = -0*c - a*c - 10. Let d be (140\/(-42))\/(c\/3). Solve 3*o = s + 10, -d*s + 3 - 29 = -3*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.01538 - -548.31538. Let s = b - 573. Let i = 24.6999901 + s. Round i to 6 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 427394.\nAnswer: 2, 11, 19427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - 6*u - 19*u)*(-3*u**3 + 3*u**2 + 0*u**2 - 4*u**2 + 2*u**3 + 0*u**3 - 4*u**3 + (3*u**2 - 2*u**2 - 2*u**2)*(u + u - 3*u)).\nAnswer: 108*u**4 + 27*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 6 + -1 - 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29*(-42)\/1827)\/((-4)\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -23*o + 10. Calculate x(-3).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + 41*k - 394. Let a be z(8). Sort -0.3, 12, -1.02, a.\nAnswer: a, -1.02, -0.3, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -33*i + 29*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 457170?\nAnswer: 2, 3, 5, 7, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -115 by -23.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -3*g**5\/190 + g**4\/57 + g**3\/57 + 5*g - 11. Let k(x) be the first derivative of h(x). Factor k(d).\nAnswer: -2*d*(d - 1)*(3*d + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h**2 + 49080*h - 120442320 = 0. Calculate h.\nAnswer: 4908","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**3 + l**2 - l**2 + (2*l - 2*l**2 - 2*l)*(l - 5*l + 3*l) + 0*l**3 - 5*l**3 + 4*l**3 + 4305 - 4305 + 45*l**3.\nAnswer: 48*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 10 - 124*t**2 + 3 + 3 + 2 + 10*t**2.\nAnswer: -114*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7866*f**2*u - 29001*f**2 + 134*f*u + 2468*f - 68*u wrt u.\nAnswer: 7866*f**2 + 134*f - 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 5:13 AM?\nAnswer: 8:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -3*k**2 + 3*k**2 + 12*k**2 - k + 2*k**2. Let c be i(-1). Suppose -3*g = -0*g - c. Solve -5*m - 5*j = -g, -m - 3*m = -3*j + 24 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 6961*b + 62716. Give x(-9).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -16, -16, -12?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79 divided by -6.\nAnswer: 79\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3 (b) 0.1 (c) 3\/13 (d) 23 (e) -25\/6 (f) -6 (g) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (76\/(-20))\/((10\/(-2))\/(825\/(-33))).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.102 and -179?\nAnswer: 179.102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3*b - 3248 = 0, -4*u + 3*b = 2*b - 6486. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -6. Let g(h) = h - 8. Let k be g(v). Let b be (k\/(-9))\/((-2)\/(-84)). Calculate the highest common factor of b and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 23, -14, 2, -0.4, -0.9 in ascending order.\nAnswer: -14, -0.9, -0.5, -0.4, 2, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 11\/3*(0 - -6). Let d = z + -95. Let p = -20 - d. List the prime factors of p.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - (18\/(-45) - (-23)\/(-5)). Suppose 3*g + 586 + 625 = -4*j, c*j = 4*g - 877. Let m = 2053\/7 + j. Is -5 smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -79*t + 77. Let q(m) = -131*m - 36 - 89 + 52*m + 200. Let g(x) = 5*d(x) - 6*q(x). What is the first derivative of g(h) wrt h?\nAnswer: 79","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104358597 divided by 1557591?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3063 less than -73274?\nAnswer: -73274.3063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 12*o**3 + o. Suppose -5 = -5*k - 0. What is a(k)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.1736321 millilitres?\nAnswer: 0.0001736321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -433, -866, -1311, -1768?\n\"Answer: -6*h**2 - 415*h - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of b**6\/30 - 304*b**5\/25 + 30601*b**4\/20 - 66606*b**3 - 1045602*b**2\/5 - 1061208*b\/5 + 1607. Factor a(h).\nAnswer: (h - 102)**3*(h + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 * -16951.\nAnswer: -135608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4381 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 792 and 1584?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + i = -18. Let x = -21 - -17. Sort x, 5, i, -1 in descending order.\nAnswer: 5, -1, i, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-6))\/((15\/(-3))\/(24\/((-936)\/195)))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 18*y**2 + 116*y + 626. Determine v(-6).\nAnswer: 578","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 5*u = 47 - 7, -4*u = -8. Let p = o + -11\/2. Suppose 0 = -2*h - 2 - 2. Sort 3\/7, h, p.\nAnswer: h, 3\/7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 17*h - 7. Let q(c) = 8*c - 3. Let d(g) = g + 10. Let v be d(0). Let t(z) = v*q(z) - 4*m(z). Is t(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 155*a**2. Let w(n) = -17*n - 15. Let c(u) = 7*u + 6. Let g(k) = -5*c(k) - 2*w(k). What is l(g(t))?\nAnswer: 155*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 66404 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -165.9 and -0.1.\nAnswer: 16.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 3*w + 3 - 12, 3*w - 6 = -j. Let x = -18 + 20. Suppose j*r - x*g = g + 93, r + g - 39 = 0. Is 18 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**4 - 21376*t**3 + 256128*t**2 - 1024000*t + 1364992.\nAnswer: 4*(t - 5332)*(t - 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 615 + 3036 = 3*x, 15 = -5*y. Is x a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 198451 and 6.5.\nAnswer: 1289931.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4613008*x**2 - 4613009*x**2 - 544*x + 203*x.\nAnswer: -x**2 - 341*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-14)*228\/(-342)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5328.0000008886 + 5328. What is o rounded to seven decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 213277, 426557, 639837, 853117, 1066397?\n\"Answer: 213280*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 26, 3\/7, 1\/6?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 653 = 15*h - 67. What is the remainder when h is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6*45941\/42 + 12 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -694 + 703. Solve -q - 2*x = -1, 4*q + x + 27 = i*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d**3 - 5*d**2 + 4*d - 3. Let k = -19 - -22. What is the tens digit of t(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19714943 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8312824?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 220 - 80. Calculate the common denominator of -1\/22 and 1\/7 + (-15)\/p*202.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - 20 - 18 - -24?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -114 + 103 + (2 - (6 - 6)) + 47?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*g - 11*g - 9*g**2)*(-10*g - 13*g + 2*g).\nAnswer: 189*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -29?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*h - 8*h - 16*h - 23*h to w*h + i and give w.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(2) + ((sqrt(24)*2)\/sqrt(12) - sqrt(2)))*-2.\nAnswer: -16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 15) to base 9\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 361004826 divided by -1326.\nAnswer: -272251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 52*l**2 - l - l - 45*l**2 to o + u*l**2 + m*l and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -6 * 138880\nAnswer: -833280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22265, 22257, 22249, 22241?\nAnswer: 22233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of 5*q**4\/24 + 5*q**3\/3 + 18*q**2 + 2*q + 97. Let j(t) = 27*t**2. Calculate j(g(f)).\nAnswer: 675*f**2 + 2700*f + 2700","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 11*k**2 - 43*k - 6. Determine i(-14).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 14*p - 9. Let v(w) = -45*w + 54. Let a(h) = -9*h + 11. Let r(j) = -24*a(j) + 5*v(j). Determine -5*l(z) - 8*r(z).\nAnswer: 2*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20.317? (a) 0.5 (b) -0.0321 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -30 - 17?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00384105 rounded to four decimal places?\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 9*u**2 + 6*u - 14. Let s be k(-8). Solve 0 = -s*n - 2*n + 4, 4*n = -f + 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -110 - -115. Let y = 3 - -3. Suppose -w = 2*b + 2*b + y, -21 = -i*w - 3*b. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -2*o. Suppose -4*s + o*s + 8 = 0. Solve 1 - 7*y + 3 + s*y**3 + 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 8*u**4 + 19*u**2 + 9449 wrt u?\nAnswer: 32*u**3 + 38*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 357 and 2261.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 12*z**2. Let p(u) = u**2. Let q(x) = -x**2 + 35*x + 10. Let b be q(35). Suppose 0 = 7*i - b*i - 3*y + 72, 4*i - 105 = -y. Give i*p(j) - 2*o(j).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 + 80. Suppose -70*a + 215 = -n*a. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65756\/17 - (-12)\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/383, 4, -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-30)*12\/(-440))\/(3818\/(-115) + 33)?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 258992807?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 163157*y**4 + y**3 + 2*y**2 + 10297*y + 9 wrt y.\nAnswer: 3915768*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12827 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/5053 or -1?\nAnswer: 3\/5053","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 5\/4, -1.4 in increasing order.\nAnswer: -2, -1.4, 5\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f + 2. Let d be n(4). What is the third derivative of 4*k**2 + k**6 - 5*k**2 + k**d wrt k?\nAnswer: 240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 7*g**2 + 7. Let v = -42 - -42. Suppose 5*i - 15 = v, 4*p - 2*p + 7 = 5*i. Suppose -p*c + 35 = c. What is t(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22302 is divided by 1776.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 7:30 PM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + 2*j - 1. Let l(t) = 12*t - 4. Let x(s) = -s**2 + 28*s - 9. Let a(n) = -5*l(n) + 2*x(n). Give -6*a(p) - 11*k(p).\nAnswer: p**2 + 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -20.8.\nAnswer: 10.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - 3*a**2 + 17*a - 12. Let m be h(-6). What are the prime factors of (m + 12)*867\/9?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6150674 (base 8) to base 13.\nAnswer: 44c479","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**36)**(-34)\/((i\/i**(-20\/7))\/((i*i*i*i*i**44)\/i*i)) assuming i is positive.\nAnswer: i**(-8259\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a - 5*p + 70 = -5*a, a + 2*p - 36 = 0. Suppose 5 = y, 2*y + y = -b + a. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -391 = -5*q - 1796. Let a = q - -450. Suppose -31 = l - a. What is the remainder when l is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.42006018 rounded to two decimal places?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 0.059 (b) 5\/3 (c) -3 (d) -2 (e) -1\/43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5457 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 PM and 11:19 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -460 by 5.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-39)*1)\/(-85 - 438514\/(-5160)).\nAnswer: -20\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 398541, 5 in descending order.\nAnswer: 398541, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*r - 4*r + 16*r - 417*r**3 - 3*r to v*r + x*r**3 + d*r**2 + s and give x.\nAnswer: -417","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 9*t - 21 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n = 178 + 78. Let h be (16\/(n\/18))\/(3\/(-3490)). What is h rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 229\/117 + -24\/13. What is the third smallest value in 0.1, 2, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 204900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1763 = 10*n + 357. Let t = 115 + n. Let k = t + 98. What is the highest common divisor of k and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2 + 3 - u + 2 - 4*u**2. Let b(n) = -5*n**2 + n + 5. Let w(d) = d**2 + 15*d - 1 - 15*d. Let k(a) = b(a) + 6*w(a). Determine -3*k(q) - r(q).\nAnswer: q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 12 = 5*k, -5*p - 6*k + 4*k = 2. Which is the second biggest value? (a) -0.4 (b) p (c) 0.56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -742 + 1751. What are the prime factors of f?\nAnswer: 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 441 = -y + 2*p, 0 = -2*y + 2*p + 888. Which is bigger: y or 445?\nAnswer: 445","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198 is divided by 52?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 489909 is divided by 3081.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 47408964 * 0.1\nAnswer: 4740896.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 188 = -5*v, -35*v = -33*v + q - 77. What is the remainder when 599 is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, c: 3, o: 5}. What is prob of sequence coi?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 1:52 PM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*g = 17*g + 240 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = -5*z - 4*v + 45, -4*z - 2*v = -118. Suppose -11*p - 690 = -272. Let i be (5 - -3)*4\/z*p. Is i at most as big as -38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -591 = -5*l + 2*f, -l - 3*f = -3*l + 232. Suppose -l = -5*b - 39. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -5*w - n, -3*n + 5*n = -4. Suppose 3*h = -4*x + 22, 3*h - w = -2*x + 8. What is the second smallest value in -4, x, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1001 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -10. Suppose -f + 5 = 5*t, f = t + g*t + 5. Let b = -3 - t. Let d(p) = p**3 - p**2 - 1. Let v(u) = u**3 - u**2 - 3. Determine b*d(x) + v(x).\nAnswer: -2*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*k = 88*k + 2*q + 12, -q = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -76 * 2.\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-410)\/(-40) + (-3)\/(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 11*q**2 - 4*q - 8. Let s be f(-3). Let r = 141 - s. What is the remainder when 113 is divided by r?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 987\/4924 + 5341505\/11133164. Let u = t + -23\/34. Which is bigger: u or 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 3*q - 56 = 14, 2*h = 5*q + 28. Suppose h*u - 48 = 17*u. Calculate the greatest common factor of u and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 - 9*t - 10. Let v be l(-7). Suppose 2*a = v*a - 82. Let q = a + -21. Calculate the least common multiple of 10 and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12925 + -5?\nAnswer: 12920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 4*y**2 - 180*y - 351. Let g be f(47). Solve h - 5*w - 15 = -4*h, -5*w - g = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200886029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121 (base 7) to base 15.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5 - 1348\/162*99\/165)*1. Let t(o) be the third derivative of 0*o**3 - o**2 + 0*o - 1\/18*o**4 + 0 + u*o**5. Factor t(c).\nAnswer: 4*c*(c - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + 1 - (1 + 1). Let y(f) = -47*f + 4. Is y(s) 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 55156435?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v**3 - v**2 + 2*v + 1. Suppose 0 = -4*p - p - 10. What is the units digit of f(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*h**2 - 11*h**2 - 19*h**2 - 3*h**2 - 17*h**2.\nAnswer: -15*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -104 - -2044640?\nAnswer: 2044533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39 - 3. Let w(s) = 4*s + 6 - z + 10. What is the remainder when 22 is divided by w(8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.9 - -2.4. Let f = v + -3.29983. Round f to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o + 0*o - 2*o + o - 5*o + 3*o - 45 + 45 + 17*o + (-2 + 3 + 1)*(-2 + 2 - 2*o) - 1 + 2*o + 1)*(3*o**2 - 2*o**2 + o**2) + 2*o**3 + 8*o - 8*o.\nAnswer: 18*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -221, -224, -231, -242?\nAnswer: -257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 2*t - 2*m, 12*t + 42503*m - 42499*m = -52 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 351 - 540. Find the common denominator of (7\/(-6))\/((-14)\/f) and 22\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w + 61 = 159. Let c(q) = -4*q**2 - 59*q - 11. What is the tens digit of c(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*g**3*o*z**3 - 9917*g**3*o + 3*g**3*z**3 - 10*g**3 + 7*g**2 with respect to o.\nAnswer: -3*g**3*z**3 - 9917*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**3\/3 + 20*a**2\/3 - 1127*a\/3 - 2842 = 0. What is a?\nAnswer: -42, -7, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -359, -1442, -3247, -5774, -9023?\nAnswer: -12994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -106145.8 rounded to the nearest one thousand?\nAnswer: -106000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12)\/(-24)*2*451 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 7*l - 5 = 4*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 - -143. Suppose c + n = 2*c + 3*g, -127 = -c - 5*g. Suppose -4*h = -4 - c. Is h a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-17)\/(-4) - (-3)\/4. Let n(w) = 2*w**2 - 2*w - 1. Let a be n(2). Suppose -3*l = 3*r - 6*l, -h*r = -a*l + 4. Which is bigger: -3\/5 or r?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53\/8 - -25379\/3832. Let c = -3363\/4790 - g. Let s = -315\/2 + 162. What is the common denominator of c and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.13 (b) -0.1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + 35a9?\nAnswer: 35ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(sqrt(144)\/(sqrt(60)\/sqrt(5))))**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(1\/1*(2583\/41)\/1197).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -52499979*d*r - 4*d - 492107220*r wrt d?\nAnswer: -52499979*r - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 139241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 3*m - 108 = 15, 4*u + 5*m = 169. Calculate the lowest common multiple of 1104 and u.\nAnswer: 3312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(2\/7)*g*g**(-2\/17)*(g**(-1)*g)**6)**(3\/20))**26 assuming g is positive.\nAnswer: g**(5031\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.03 from -14.6535398.\nAnswer: -14.6835398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**10*l)**(-24)\/(l**10*l**15) assuming l is positive.\nAnswer: l**167","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + 6*p**2 - 5. Let r be t(5). Suppose 5*o + r = -5*y, y + y - 7 = 3*o. Let u be 0*(-2)\/(-4) + 4. Put -2, u, o in ascending order.\nAnswer: o, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.04848 take away 41.2?\nAnswer: -40.15152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 (base 13) in base 2?\nAnswer: 110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51438050.\nAnswer: 2, 5, 1028761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33084 + 33085. Solve -13*x + 4*c + 8 = -11*x, 5*x + p = 3*c for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -117241, -227849, -338457, -449065, -559673, -670281?\nAnswer: -780889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.7 - -3.3. Put f, 2, 5 in increasing order.\nAnswer: f, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 5*b - 10, -7 = 3*t - 2*b - 26. Suppose 5 = 8*x - 3*x + 5*g, t = -3*g. Solve 10*m = 11*m + x for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1282 = 148*b + 938 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 2*n + 132. Let i = n + 40. What is the third derivative of -2 - i*m**3 - m**2 + 2 + 4*m**2 wrt m?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 4*u = -i + 758, -u = i - 152. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - 3*k + k)*(-1 - 1 + 1)*(6*k - 10*k + 3 - 5) + (k - 2*k + 0*k)*(-70*k + 194*k + 255*k).\nAnswer: -387*k**2 - 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15713\/7 - -2240. What is the common denominator of 15 - (-64)\/44*-13 and i?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 1 + 33*m - 4 to a*m + g and give a.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g - 1. Let d be 5\/(5 - 0) - (1 + -6). Determine b(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 889 and 182753.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.5883891 months?\nAnswer: 0.049032425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-4))\/((-115)\/92).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*f + 8*f + f)*(-2*f**3 + f - f) + (6*f**3 - 5*f**3 + f**3)*(8*f + 33*f - 6*f) as m*f + d*f**3 + s + o*f**4 + y*f**2 and give o.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3986 (base 11) to base 14\nAnswer: 1c5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/11)\/(l**(-13)*l))\/(l**(2\/29)*l\/(l*l\/(l\/(l\/l**(5\/2))*l*l)*l)*l) assuming l is positive.\nAnswer: l**(5437\/638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(80) - (2*sqrt(80))**2) - (3 + 5 + sqrt(5)*-2).\nAnswer: -328 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -17823 not equal to -17823?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 202.1479 meters in micrometers?\nAnswer: 202147900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 2. What is the common denominator of 14\/(-4)*(-6)\/(-33) and o\/85 + 172\/17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwawwawaa. Give prob of sequence waww.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -91\/5 + 809\/45. Suppose -16 = 4*x - 4*m, -17 = 5*x - 2*m - 0. Let q = -3 - x. Is y >= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -b + 12, -5*b + 0*h - 4*h = -4. Suppose b*t = -t + 245. Suppose 0 = -4*l - 5*p + 179, 0*l = l - 3*p - t. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -2*l**2\/11 - 3420*l + 37622\/11 = 0.\nAnswer: -18811, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i**3 - 4*i**3 - 2*i**3)*(-38 + 36*i**2 + 38) + 2*i + i**5 - 2*i + (2*i + 0 + 0)*(3*i - 3*i + 2*i**4) - 4*i**5 + 4*i**5 - 2*i**5.\nAnswer: -33*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h + 7 = 4*l + 4*h, -1 = l - 4*h. Solve -4*j - 12 = 2*a, 3*a - l = 97*j - 96*j for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5.15 or 39?\nAnswer: -5.15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00089912309 to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-176)\/(-99) + (-2)\/(-9). Suppose 0 = -x*f - f + 9. Find the second derivative of -15*a**3 + a + 21*a**f - 3*a wrt a.\nAnswer: 36*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001084306545 rounded to five decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -57*h**4 - 51*h - 11899.\nAnswer: -228*h**3 - 51","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 + 10*p + 8. Let j be y(-9). Which is the nearest to j? (a) 0.5 (b) 2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + 5*s + 4. Let f(y) = y**2 + 6*y - 5. Let c be f(-6). Let m be i(c). Suppose 25 = o + m*o, 0 = 5*q + 4*o - 50. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1165520938 a multiple of 148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qlppsqprqplsprpulqpl. Give prob of sequence ur.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, c: 2, f: 2}. Give prob of sequence scfc.\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29.51 - -30.01. What is the second smallest value in -0.5, -2\/13, -10, m?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70922309 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 747?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -242796*a**2. Let d(o) = 12*o**2. Calculate s(d(y)).\nAnswer: -34962624*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 133 = 29. Let j(n) = n**3 + 277*n**2 + 4169*n - 1813. Calculate the remainder when f is divided by j(-261).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/24 - (812\/(-24))\/(-7). Let f(m) = -6*m**3 - 5*m - 5. Let q(b) = 42*b**3 + 36*b + 36. What is g*q(w) - 36*f(w)?\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 + 40. Suppose q = 3*b - 0*b. What are the prime factors of b - 1*(-6)\/(-2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -11*y**2 + 4. Let f(x) = x**2 - 1. Calculate 4*f(i) + q(i).\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1969200613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1120 (base 3) to base 5\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x\/(x**(12\/11)*x)*x*x*x**(1\/5)*(x**(1\/17)\/x)**(38\/3) assuming x is positive.\nAnswer: x**(-27524\/2805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 187507626*u**3*x**2 + 34579059*u**2*x**2 - 2*x**2 wrt u.\nAnswer: 1125045756*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -297, -787, -1473, -2355, -3433?\nAnswer: -4707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 231 + -11?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3 = -3. Let z(q) = -q**2 + q - 1. Let f be z(0). Let g(o) = -7*o - 2. What is the smallest common multiple of j and g(f)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqhhhhhpq. Give prob of picking 2 q.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -14 + (21 - 0) - 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**5\/13 + 1772*y**4\/13 + 36596*y**3\/13 - 323120*y**2\/13 + 529374*y\/13 - 244620\/13 = 0. What is y?\nAnswer: -27, 1, 5, 906","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of -d**3\/2 - 9*d. Let g(c) be the first derivative of 5*c**2\/2 + 2. Determine v(g(z)).\nAnswer: -15*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-6))\/3*1\/1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 5) to base 14\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-24))\/(((-1144)\/48)\/13)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 39 - ((521 - 327) + 3 + -37)\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/4*-2*(-2 + -6). Is 4 a factor of (-345)\/(-6) - 4\/h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -2*c**2 + 0 + 1\/7*c**3 + 13\/7*c = 0.\nAnswer: 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) + 1*sqrt(171))*-4)\/((sqrt(99) + sqrt(99) + (sqrt(99) + (3*sqrt(99) - sqrt(99)) - sqrt(99) - sqrt(99)) + sqrt(99))\/sqrt(11)) + 0.\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5819 = -874*a + 575 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 12*t = 0. Let i(n) be the first derivative of 1 + 0*n - 1\/4*n**4 + t*n**3 + 1\/2*n**2. What is the second derivative of i(m) wrt m?\nAnswer: -6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 699 and 25769334.\nAnswer: 699","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of -20*p + 0*p**4 - 2*p**2 + 0 - 3\/20*p**5 - 1\/6*p**3. Calculate the smallest common multiple of 4 and n(-2).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -5*o + 1, 3*d + d = 3*o - 24 + 1 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/3)*h*h**(-1\/5)*h)\/(h**(-1\/8)*h*h**(1\/6)))\/(h**(12\/5)*h*h**(-4\/5))**(-16) assuming h is positive.\nAnswer: h**(1721\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 1 + (-156 - -144)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*v - 1625 + 1409 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.5 (b) -0.38 (c) 3 (d) -2\/17 (e) -1 (f) 57 (g) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - g + 11*g**2 + 57*g**3 - 41*g**2 + 30*g**2 to the form o*g**3 + n*g + w + t*g**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 70114*j**3 - 2580*j**2 - 10*j.\nAnswer: 420684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3772 = d - 2*x, -296*d + 293*d - 4*x = -11266. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, q: 7, d: 4}. What is prob of picking 1 g, 1 q, and 1 d?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - k**2 + 0)*(k**2 - k**2 - 2*k**2) + (-k**3 + 0*k**3 - 2*k + 3*k)*(-k - 4*k + 3*k).\nAnswer: 4*k**4 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7560?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/293951 < 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 1204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - 6*v**2 - 6*v - 3. Let h be b(7). Is 106 - (2 - -2)\/h a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -32*k**2. Let z(b) = -5*b. Calculate z(w(t)).\nAnswer: 160*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -3 (c) 3 (d) -10 (e) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 6*m - 3*m + 1 = 0, -4*p + 22 = -3*m. Solve -6*w - 4 = -p*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-279)\/4)\/((-16)\/((-96768)\/(-81))) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 568\/20 + (-4)\/10. Let m = -24 + q. Suppose 10 = -9*k + m*k. Put 3, 1, k in descending order.\nAnswer: 3, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence od when two letters picked without replacement from {o: 7, d: 4}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000180316 to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -40*m**5\/3 - 375*m**4 - 7900*m**3\/3 + 50*m**2 + 100100*m\/3 + 4165 = 0. What is m?\nAnswer: -17, -7, -1\/8, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + -4. Let l be (6\/r)\/((-4)\/(-186)). Let d be (-8)\/(-32) - l\/92. Which is smaller: d or 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -9*n**2 + 66*n + 5. Calculate t(7).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 13*g + 36. Determine r(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 25, -3\/2, -407, 0, 0.05, -2\/5, -8?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36*r**4 + 9358*r**3 - 8*r**2 - 1309*r + 56639.\nAnswer: 432*r**2 + 56148*r - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.8 (b) -0.2 (c) -2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 18 + 33)*(k**4 - 4*k**4 + 2*k**4 + (-2 - 1 + 0)*(0*k**2 - 2*k**4 + 0*k**2)) + (2*k**3 + 0 + 0)*(0*k - k + 3*k).\nAnswer: 39*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**0)**(-37)*(b*b\/b**(2\/9))\/b**(-2\/11))\/(b**2*b**6*b*b)**(3\/35) assuming b is positive.\nAnswer: b**(764\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8\/(-10) + 2)*5. Solve d + c - 2 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus -8264?\nAnswer: 8264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, m: 4, l: 8}. What is prob of picking 1 k and 1 l?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1734007?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -23*s + 2. Suppose 5*g = -5*x + 20, 2*g + 9 = 13. Let d(v) = 1. Determine x*d(n) - p(n).\nAnswer: 23*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ott when three letters picked without replacement from {o: 6, t: 7, f: 2}?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(4*-3*sqrt(900) + sqrt(900)))\/((sqrt(2100) + 1*sqrt(2100) - sqrt(2100))\/(1*(sqrt(7) + sqrt(7)*-2) - sqrt(7))).\nAnswer: 22*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 4*k - 6, -262 = 4*g - k. Let m be (-44)\/10 - (-42)\/(-70). Let y = m - g. Calculate the highest common factor of y and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - 1. Let w = -243 + 243.2. What is the second smallest value in n, -0.2, w?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31199412?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 632.0929 weeks in milliseconds?\nAnswer: 382289785920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 + 740*o - 7185. What is the hundreds digit of h(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4033636126?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 10455?\nAnswer: 31365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-eight ninths of a week in minutes?\nAnswer: 31360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*v + 0*v + v)*(3 - 4 + 2) - 3 + 3 - v + 3*v - 3*v + v + (2*v - 2*v + 2*v)*(-3 - 1 + 5) to the form o*v + l and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a - 3. Let s be f(-3). Suppose b - 19 = -5*x, 17 = 3*x - s*b + 2. Suppose 88 = 2*u + 2*u - 4*y, -x*y - 113 = -5*u. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -18*o**2 - 824*o + 30532. Give y(-70).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by -60.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 1549.\nAnswer: 17039","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -132 - -397\/3. Let p = 8 - 7.7. What is the fourth smallest value in r, -5, p, -0.3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(7) - (3 + (sqrt(35)\/sqrt(5))**2)).\nAnswer: -2*sqrt(7) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-0.3534\nAnswer: -0.14136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 10*j + 1310 = 0. Let d = -241 + j. Let b = 15 - d. Is b a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25422.68 decades to months.\nAnswer: 3050721.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3140539, -3140538, -3140535, -3140530?\nAnswer: -3140523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*r**5 - 15739338*r**2 - 251257813*r wrt r.\nAnswer: 80*r**3 - 31478676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 90\/7 + 54\/7*l**2 - 141\/7*l - 3\/7*l**3.\nAnswer: -3*(l - 15)*(l - 2)*(l - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6378\/(-5) - 10\/25. What is the hundreds digit of (k\/66)\/(1\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wvvlv. What is prob of sequence vwv?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 16 = 4*l, -l = -3*t + 453. Calculate the remainder when 308 is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2524855 divided by 13\nAnswer: -2524855\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 270332929?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-15))**(-9\/11)\/(m**(-3\/8)\/((m**(-22\/3)*m*m)\/m)) assuming m is positive.\nAnswer: m**(-5029\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2, 8, 26, 52?\n\"Answer: 4*x**2 - 2*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**6\/q**(2\/5))\/((q**6\/q*q)\/q**(-2\/15))*(q\/q**(3\/4)*q*q*q**(1\/2)\/q)\/(q**(1\/5)\/q**(-1)) assuming q is positive.\nAnswer: q**(1\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 46574527 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 24 = -14*l. Suppose -2*q + 1198 = -4*r, l*q - 4*q + 1204 = -r. List the prime factors of q.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29 + 33. What is the third smallest value in j, -0.3, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*n - 3*n**2 + 577066*n**4 - 577064*n**4 + 1 + 4*n**2 as p*n**4 + t*n**2 + j*n + g*n**3 + m and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dkddduddd. What is prob of picking 2 d?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = o + 1, 2*o + 5*f - 7 = 4*o. Let p be ((-2)\/(-1))\/((-2)\/7). Which is greater: o or p?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -5*l + 10. Calculate the remainder when y(-7) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -138 - -140. Which is the fourth biggest value? (a) -2\/11 (b) -7 (c) q (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -14765*n + 153. Let l be f(-17). Let r = 625158 - l. What is r rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -4*i**2 + 24*i + 5. Let p(u) = 6*u**2 - 36*u - 8. Let z(d) = -5*p(d) - 8*t(d). Let k(a) = 2*a**2. Determine z(k(v)).\nAnswer: 8*v**4 - 24*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3228586000 rounded to the nearest one million?\nAnswer: -3229000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5333 (base 6) to base 8\nAnswer: 2271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven eighths of a millennium?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ps when two letters picked without replacement from ggfstftgtsgpp?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 + s - 13. Let q(x) = 5*x**2 + 4*x - 51. Let z(u) = -9*k(u) + 2*q(u). List the prime factors of z(0).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1488)\/60)\/(3\/(-42765)). Suppose 0 = -10*r - 275476 - z. What is r rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2389818873?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 - 713?\nAnswer: -616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 d, 1 k, and 1 v when four letters picked without replacement from kivkvvkdkvvvvvi?\nAnswer: 64\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 3*v = -198, 2*v - 53 = -4*k + 123. Suppose 0 = -w - 2*w + k. What is the lowest common multiple of (-4)\/w - 468\/(-21) and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -3, 10, -1\/3?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 15*p**3 + 343*p**2 - 7*p - 11. Let s(j) = -10*j**3 - 229*j**2 + 5*j + 8. Calculate -7*s(c) - 5*t(c).\nAnswer: -5*c**3 - 112*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -2709.\nAnswer: -13545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -11*y. Let x(p) = -10*p + 1. Suppose 4106*l = 4123*l - 51. Give l*n(r) - 2*x(r).\nAnswer: -13*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (642\/23005)\/((-4)\/(-710)) + 1*-5\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 32*o**2 + 7*o + 4. What is z(1)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.158339372 - 2.\nAnswer: -1.841660628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-96)\/224)\/(132\/56)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-68)\/(-18) - (-4)\/(-36)*-2. Suppose -5*y - y = v*y. Suppose -4*t + 14*t + 30000 = y. Round t to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 2 - 2)*(6*y**2 - 6 + 6) + (-6*y + 0 + 0)*(2*y**2 + y**2 - 4*y**2).\nAnswer: 12*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5832?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 24883, 100190, 225711, 401446, 627395, 903558?\n\"Answer: 25107*g**2 - 14*g - 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of 23 + 26*l + 9\/2*l**2. Differentiate z(u) wrt u.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9655 + 4943. Let a = 56591\/12 + v. Find the common denominator of a and -7\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75654439 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 271 and -23.43297.\nAnswer: 247.56703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = 2*s - 8, -2*s + 3*b + 9 = 2*b for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 256 - 63)*(-2 + 2 + 2*q)*(-24*q + 26*q - 33*q).\nAnswer: 19778*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-12) - 5\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 0. Solve -3*k + 5 = f, 0 = -t*k + 2*k - 4*f - 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - 8*w + 1. Let r be k(6). Let i(f) = -f**3 - 7*f**2 + 3*f - 12. Is i(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 214*f**2 - 72*f**2 - 95*f**2 + 2 - 268*f**2 + 14*f**4 in the form z*f**4 + d + s*f**2 + b*f**3 + k*f and give s.\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*s**3 + 2*s**2 + 2*s**2 - 4*s**2.\nAnswer: -37*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - 4*q**2 + 4. Let t be n(4). Calculate the common denominator of t + (133\/(-26) - 0) and -1\/14.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*b + 1. Let c(j) = -j**2 - j - 4. Let o(d) = d**2 + d + 1. Suppose -4*m - 10 = -14. Let n(v) = b*o(v) + m*c(v). Determine q, given that n(q) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -0*d - 4*d + 4, 0 = 3*s. Is 3\/1504 <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -260079.\nAnswer: -1\/86693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of -1\/60*f**5 + f**2 + 0*f**4 + 0*f**3 + 1\/120*f**6 + 0 + 0*f. What is the third derivative of k(q) wrt q?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-32)\/(-3))\/(17\/255). Let o = u + -177. Is -16 smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4 = s - 3*t, -5*t + 10 = 0. Let c(v) = -20 + 22 + v**2 - v**3 + 26. List the prime factors of c(s).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/(-10)*(-20)\/6. Factor n**2 - n**4 + z*n - n + 2*n**3 - 3*n**3 - 2*n.\nAnswer: -n*(n - 1)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.8 (b) -1.1 (c) 3 (d) 85\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 171585 - -4?\nAnswer: 171600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hwn when three letters picked without replacement from hhwiwwnhwnh.\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 4*a + 20. Let r(u) = 9*u + 130. Let m(j) = -441*j - 6435. Let o(b) = 4*m(b) + 198*r(b). Calculate k(o(v)).\nAnswer: 72*v + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, b: 14}. What is prob of picking 2 b?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -11 - 9 - -14.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -228654114*p. Let y(z) = -z**2. Calculate d(y(h)).\nAnswer: 228654114*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7332425203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + 72\/20)\/(1*(16 - 14))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -5) + (-12 + (9 - 3) - -12).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 5:18 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-172)\/(-24) + (-2)\/12 + -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3*s = 5*n - 31, -16 = n - 4*s. Factor 0 - 2*v**3 - 2*v**2 - 2\/3*v - 2\/3*v**n.\nAnswer: -2*v*(v + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-202)\/10 + (-2)\/(-10). Let i be 474\/(-30) + 4\/g. Calculate the remainder when 6\/(((-84)\/i)\/7) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 293 is divided by 59.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -1, 19, -0.07?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 3:30 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 232 (base 5) to base 7.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 3*t - 300 = -2*p, -3*t = -5*p - 225. Suppose 15 = -4*c + t. What are the prime factors of c?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2911745?\nAnswer: 5, 29, 43, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*k + 4*y - 3, k + 5*y = -3. What is the third derivative of -2*u**2 + 8*u**k + u**2 - 7*u**6 wrt u?\nAnswer: -840*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -0*b + b + 5*p, b = 5*p - 18. Let g be 2 - (2 + -3) - 1. Let r be 1*6 + -1*g. Solve k = -r*m - 17, b*m + 0*m + 16 = -2*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -134, -458, -1086, -2120, -3662, -5814, -8678?\nAnswer: -12356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 98296394 to the power of 1\/2, to the nearest integer?\nAnswer: 9914","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-30)\/(-10))*18\/(-6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**3 + c**3 - 3*c**3)*(1 - 1 + 2*c) - 3*c**4 + 5*c**4 - c**4 + (-c**4 + c**4 + c**4)*(-2 + 6 - 3) + 2*c**4 + 6 - 6.\nAnswer: 2*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1518 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ygzy when four letters picked without replacement from zfygzfgghyhyz.\nAnswer: 9\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2873*q - 28 = 2877*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-5 + sqrt(1377)*-1*5 - ((2*sqrt(204) + sqrt(204) - sqrt(204))\/sqrt(12) - sqrt(153)*-4)).\nAnswer: -59*sqrt(17) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + l - 3. Let q be j(3). Suppose -3*c + 24 = q. Let n = -212 - -213. Which is smaller: c or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1426*k = 3165*k + 64274 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -l**5\/120 + l**4\/12 + l**3\/2 - 2*l. Let r(h) be the second derivative of f(h). What is the derivative of r(v) wrt v?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 5, -13\/4, -4\/7, 18?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2550487 is divided by 510044.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1020558779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of x**8\/10080 - x**7\/560 + 7*x**6\/720 + x**5\/10 + 3*x**2. Let p(u) be the third derivative of m(u). Is p(7) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pcmfgfffg. What is prob of sequence pm?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 261776.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-15))\/(12\/9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 14700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4573445 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 846243825?\nAnswer: 3, 5, 7, 419, 3847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, f: 1, l: 7, g: 10}. Give prob of picking 1 f and 1 l.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 340 and 232220?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/(sqrt(108)\/(-1*sqrt(12))).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -47 - -2. Let i = 10 + m. Let d = 34.99926 + i. Round d to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10863 = 14*l - 2157. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 2*k - 3 + 7, -k + 2 = -3*a. Suppose t + 5 + 55 = a. Is 11*(t\/(-3))\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 8508720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(128) + -4 + 6*(0 + sqrt(128) + sqrt(128)))**2 + -2.\nAnswer: -832*sqrt(2) + 21646","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1765821 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of -h**6\/60 - 19*h**5\/60 + 13*h**4\/24 + 89*h**3\/6 + 151*h**2 + 2. Is p(-22) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/3)\/(16\/96*20)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80843 (base 9) in base 11?\nAnswer: 36a51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*n + 11*n + 132. What is the remainder when n is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*s - 49*s = -50. Suppose -p = 17 - s. Suppose -v + 9 = 4*c, 4*v + v = -c - 12. Solve -c*x - 2*l + 8 = 0, 3*x - p*x + 16 = 2*l for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4563\/1850 or 3?\nAnswer: 4563\/1850","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 68214.40207 + -68214. Let v = t - 0.4. Round v to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -3. Differentiate -i + 3*y - y + 2*y - y with respect to y.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 58 (b) -3\/29 (c) 3\/4 (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine quarters of a kilogram in grams?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -93 and 90078.\nAnswer: -8377254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/1762, 2\/7, -5.7, -6 in ascending order.\nAnswer: -6, -5.7, -3\/1762, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -6*h + 5. Does 13 divide d(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/15 and -52\/2253?\nAnswer: 11265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -0.28, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -164395789.98 rounded to the nearest 1000?\nAnswer: -164396000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 - -0.9. Let y = l + -0.4. Which is the smallest value? (a) 1 (b) y (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -1202233?\nAnswer: -1202231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 9*z. Let w(f) = -23*f + 17. Let s(b) be the second derivative of 2*b**3\/3 - 3*b**2\/2 - 7*b. Let x(c) = 34*s(c) + 6*w(c). Give x(u(l)).\nAnswer: -18*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of 303*x**7\/7 + 361*x**3\/3 - 244. What is the third derivative of a(m) wrt m?\nAnswer: 36360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 PM and 10:49 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (4 - 0) + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 3 - 27 + 13*m**2 - 11*m**2 + 2*m + 6*m = 0. What is m?\nAnswer: -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5384 - -5950. Calculate the remainder when z is divided by 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v. Let o(d) = 3721*d - 80. Let x(a) = -42172*a + 910. Let j(u) = 91*o(u) + 8*x(u). Calculate j(h(s)).\nAnswer: -2470*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 AM and 10:49 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y**3 + 21*y**2 - 13*y + 12. Let n be x(10). Let l(t) = t**2 + 19*t + 21. Let f be l(n). Solve -f*r + r - 8 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131*q - 35*q = -107*q + 4781462. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 3*h - 4 + 13 = 0, -4*h = 2*f - 12. Suppose 0 = -b - 3 + 2. Let m be (b*f\/(-2))\/(-1). Solve -l = -m*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8705400 to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -307*(-2 + 3 + 1). Let c = v - -872. Suppose 4*b + 2*l + 0 = 484, 2*b - c = -5*l. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 236?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and -0.47?\nAnswer: 2.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 194912.757 nanoseconds?\nAnswer: 0.0000000022559346875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -261\/55 - 1\/220. Calculate the common denominator of d and 43\/387 - (-149)\/(-18).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 73 - (-38 + 9 + 150).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/7, 9\/4, 10\/11, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = b + 2*p, -17 - 30 = -3*b + p. Calculate the greatest common divisor of b and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 2*m**2 - 2*m + 4. Suppose 0*h + h - 6 = -3*y, -4*h = -4*y + 24. Let o be v(y). Solve -3*i + 2 + o = -2*t, -5*t = 2*i - 25 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pmwsu. Give prob of sequence smw.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3542 and 8096?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 - j - 3. Let d be u(0). Let i be (-4)\/6*d - 2. Let k = 105 - 2417\/23. Which is the nearest to -0.1? (a) 4 (b) k (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**2 - 4*s + 0*s + 4*s. Let h(g) = g. Give h(o(a)).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 - 87*d + 2079. Let b be y(19). Solve -91*l - 26 = -b*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 317 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -4.4. Let b = 0.45 - -0.05. Put b, m, -3 in increasing order.\nAnswer: -3, m, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 8*g**3 - g**2 - 22*g + 37. Let n be f(2). Solve 5*k - 13 = -4*u, -58*k + n*k = -25 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 501*m + 35284 = -2394 + 3610 for m.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 9*o + 325. Let y be r(-36). Let h(t) = -2*t**3 - t**2 - t - 1. Let u(i) = 4*i**3 + 5*i**2 + 4*i + 6. Let l(w) = -5*h(w) - u(w). Give l(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11753727 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: What is -0.10478037 take away 12.46?\nAnswer: -12.56478037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of c**3\/6 - 3*c**2 - 5*c - 2. Let s(w) be the first derivative of n(w). Calculate s(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1324327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4858.\nAnswer: 2, 7, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from {i: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -123*m**2 + 449*m + 2871. What is u(7)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138235 = 5*j - 3*x - 33030, -x = 0. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g + 26. Let c be d(-13). Let r be (-12 + c)\/(1\/32). What is the tens digit of (16\/r)\/((-1)\/(-34))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, c: 2, l: 1, y: 1, b: 2, x: 1}. Give prob of sequence ylx.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -102703 (base 9) in base 13?\nAnswer: -21a53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2006282?\nAnswer: -2006282","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 176, -0.5, -152\/3, 5 in descending order.\nAnswer: 176, 5, -0.5, -152\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4947 to the power of 1\/2, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = h - 5, 2*h + 7 = 3*l. Are l and 1\/46 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/11 - 609196*y\/11 + 10355754\/11.\nAnswer: 2*(y - 304581)*(y - 17)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 4:07 PM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 296 and 587146192?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*h**2*i*y + 12325753*h**2*y - 8*h*y - 2*h - 7*i + 25942 wrt h?\nAnswer: 16*i*y + 24651506*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, g: 8, s: 1, c: 5}. What is prob of sequence gjs?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -0.5, 40.\nAnswer: -0.5, 6, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 5326*c. Let t(s) = 888*s**2. Calculate n(t(f)).\nAnswer: 4729488*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*m**2 - 3*m**2 - 4*m**2 + 33*m**2 - 2*m**2 - 9*m**2.\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3429387967 + -3429387772.9999463. Let h = 194 - x. What is h rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/849 and -27\/3113?\nAnswer: 9339","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1521 and 21?\nAnswer: 10647","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 7, 136, -4.\nAnswer: -4, 0, 1, 7, 136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4260 - 4259.6. Sort -69\/2, 1\/2, -1, -4, t in descending order.\nAnswer: 1\/2, t, -1, -4, -69\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v + 5. Let z(c) = -c + 2. Determine -6*n(o) + 14*z(o).\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 72\/696679?\nAnswer: 72\/696679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1.1689 - -0.11\nAnswer: -1.0589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 25226816 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 PM and 7:18 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 348950898, 348950899, 348950900, 348950901, 348950902, 348950903?\nAnswer: 348950904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4893*c**3*r**3 - 3*c**3*r**2 - 925*c**3 wrt r?\nAnswer: -29358*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*p**4 - 5025*p**3 - 10010*p**2 + 20100*p + 40120 = 0. What is p?\nAnswer: -1003, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89922 divided by 6.\nAnswer: -14987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 9 (b) -0.4 (c) 0.4 (d) 81 (e) -2 (f) 205\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j = -6*j - 24418. Suppose j = 6*t + 2171. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 9:59 PM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -349766 + 6923254 = 232*m. What is the thousands digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvv. What is prob of sequence vvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -40 (b) -28 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fhchfcfhhhfhfohhhohh. Give prob of sequence ofc.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of -p**5\/30 - 11*p**4\/24 - 22*p**2. What is the second derivative of r(y) wrt y?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25793 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from {u: 8, x: 3}.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 29 = i + 2*i, 5*z - 37 = -3*i. Let h(o) = 5*o**3 - 9*o**2 - 13*o. Let c(t) = t**3 - 2*t**2 - 3*t. Calculate i*c(v) - 2*h(v).\nAnswer: -v**3 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -24*s + 13. Let i(r) = -95*r + 51. Let h(v) = 2*i(v) - 9*w(v). What is the tens digit of h(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4634223216?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 249, 27, -569, -1725, -3627?\nAnswer: -6461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 3*l - 2*l + 2230, 6 = -2*l. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54537043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2184 divided by 78?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -12121 (base 3) to base 6\nAnswer: -411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3325*d + 9724498*d**4 - 9724553*d**4 - 34*d**5 + 0*d**5 + 2*d**3 wrt d.\nAnswer: -680*d**3 - 660*d**2 + 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 4*o**2 + 12*o + 2. Let u be i(6). Suppose r - 4 + u = 0. Calculate the greatest common factor of r and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 3:59 AM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6578?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.61 + 0.01. Let j = 0.4 - f. Which is greater: 0.1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5\/2*y**5 + 3889\/2*y**2 - 1749*y + 147\/2*y**4 + 1393\/2*y**3 - 968 = 0 for y.\nAnswer: -11, -8, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8958858.\nAnswer: 2, 3, 47, 31769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 11:12 PM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -15. Let s be (3 + q)\/(-1)*1. Suppose -2 = -4*c + 6. Solve s*k = -w + c*w + 5, 3*k = 2*w + 1 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3851689 to the power of 1\/2, to the nearest integer?\nAnswer: 1963","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3)*-1*-3 - sqrt(3)) + ((sqrt(72)\/sqrt(3))\/sqrt(8) - sqrt(3)) + -1 + (4 + sqrt(432) + -1)*2)**2*4.\nAnswer: 1040*sqrt(3) + 8212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of -8*k**7\/35 - k**6\/60 - 11*k**5\/60 + 125*k**3\/6 - 14*k**2 + 177*k. What is the third derivative of p(i) wrt i?\nAnswer: -1152*i - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 21 = 3*a - 4*c, -a - 5*c + 15 = 0. Suppose a*s = 3*i + 17, -i + 4*s = -0*i + 15. Suppose -5 = 4*h - i. Which is bigger: h or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-8) - (-84)\/(-288). Which is the third smallest value? (a) 1.3 (b) g (c) -1 (d) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 158?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 96 and 8528.\nAnswer: 51168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -3*r + 2*r - r. Let n(c) be the second derivative of c**4\/12 - c - 13. Determine a(n(g)).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -11459, -45800, -103047, -183200, -286259, -412224?\n\"Answer: -11453*p**2 + 18*p - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31267544.\nAnswer: 2, 7, 11, 193, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -51291\/10 + 5123. Calculate the common denominator of 57\/4 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 = -5*k + g + 57, 5*g = 2*k - 10 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3056 is divided by 1013.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -69 and -19.\nAnswer: 1311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 104436.61388 to the nearest integer.\nAnswer: 104437","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 11:12 AM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 613802 to the nearest integer?\nAnswer: 783","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 times -0.064569\nAnswer: -0.00193707","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 66936*o**6 - 3*o**2 + 83*o - 6?\nAnswer: 8032320*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.001, -5, 2\/5, -0.4 in ascending order.\nAnswer: -5, -0.4, -0.001, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/2 + 5\/10. Let z(k) = k - s*k - 3*k. Let v(r) = 2*r + r - 3*r - 2*r. Calculate z(v(m)).\nAnswer: 14*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 - 3)\/((-6)\/(-2844)). Let d = -454 + y. Solve 5*x - x + 4*p - d = 0, 3*x = -p + 7 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81134, -82194, -85074, -90686, -99942, -113754?\nAnswer: -133034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23*a**2*j**2 + 3*a**2*j*u - 2*a**2*u - 2*a*j**2 + 12*a - 2*u wrt a?\nAnswer: 46*j**2 + 6*j*u - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(9)\/(sqrt(3) - sqrt(6)\/sqrt(2)*5) + sqrt(36)\/((sqrt(72)*1)\/sqrt(6) + sqrt(12)) + -4)**2.\nAnswer: -3*sqrt(3)\/2 + 147\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, -12, 17 in ascending order.\nAnswer: -12, 3, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 7:55 AM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 4*w + 8 = 0, -2*b + 2*w = 5*w - 6 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - y + 3. Let l(r) = -r**3 - 6*r**2 + r + 6. Let x be l(-6). Let i be o(x). What is the common denominator of 47 and i\/(-4)*(-178)\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 - 24*a - 62. Let v be d(25). Let z = 51 + v. Let l(q) = q**2 - 14*q + 5. Calculate l(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hyyyhbbbbyyyy. Give prob of picking 2 h, 1 y, and 1 b.\nAnswer: 28\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 726*i**4\/5 - 3696*i**3\/5 + 4704*i**2\/5.\nAnswer: 6*i**2*(11*i - 28)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2*c + 2*d + 10 = 0, -d - 6 = 2*c. What is the remainder when (14\/(-6) + 1)*-12 is divided by (c - (-10)\/6)*-27?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 o when two letters picked without replacement from {c: 6, n: 3, q: 4, o: 1, x: 1, w: 5}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 279030301.0179 and 3.\nAnswer: 279030304.0179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 41, -64, 2, 4, -3 in increasing order.\nAnswer: -64, -3, -1, 2, 4, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -19*x**2. Let t(n) be the first derivative of 53 + 0*n + 3\/2*n**2. Calculate r(t(g)).\nAnswer: -171*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 384219453?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t - 8. Let i be w(-13). Let z be (i\/98 + 4\/(-14))*-90. What is the units digit of -5 + 235\/z - 2300\/(-18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -21, 2\/67, 3, -5?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 66485 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -239241*o - 239231*o + 717699*o - 239233*o. Let x = 14 + -7. Determine a(x).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = f - 5*f + 3049, -4*f - 4*o + 3052 = 0. Suppose r + 0*l - 4 = -4*l, 0 = -3*l. Suppose v = -r*d + 238, -3*v + f = 2*d - 3*d. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*i**2*j*w**2 - 789*i**2*j + 7*i**2*w**2 - i*j - 2*i*w**2 + j + 1490*w**2 wrt i.\nAnswer: 4*j*w**2 - 1578*j + 14*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37530 + 37447. Which is smaller: -5 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-70)\/15*(-33)\/(-22)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 13812, 13351, 12900, 12465, 12052, 11667?\n\"Answer: s**3 - s**2 - 465*s + 14277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and (-4 + (-32)\/(-6))\/(3\/54)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18181 divided by -1549?\nAnswer: -18181\/1549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13000 divided by 3250?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/27)*(c**(4\/15)\/c)\/c)\/(c**(-5)\/c**8) assuming c is positive.\nAnswer: c**(1516\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-6))\/(4\/(-238))*(-46200)\/53900.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3134928 and 17700.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 27*i**2 + 15*i - 124. What is the units digit of u(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 29427, 59301, 89175, 119049?\n\"Answer: 29874*t - 447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -0.1 (c) 0.53 (d) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 293284 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*g = -92*g - 1856 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -14\/499?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 10 = 2*v - 0*r, 0 = -v + r + 7. Suppose z - v = -0*z. Suppose 2*k = z*t + 5*k - 2298, 5*k + 1560 = 2*t. Round t to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 320 divided by 10429.\nAnswer: 320\/10429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3661041, -3661247, -3661449, -3661647, -3661841, -3662031, -3662217?\nAnswer: -3662399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/918 and -25\/12?\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1101431051 to the nearest integer?\nAnswer: 33188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37 + 27*s - 37 to the form f + q*s and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-51)\/(-255))\/((-10)\/8). Suppose 4*u - 8 = -0*u. Let d = 3 - u. Which is smaller: i or d?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2289294 is divided by 254365?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.38922nm in meters?\nAnswer: 0.00000002538922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*h**2 - 2*h**2 - 3*h**2)*(h**2 - 2 + 2) - 1039 - 89*h**4 + 1039 to the form p*h**3 + j*h**4 + x + n*h**2 + u*h and give j.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 10:59 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29 + 3948\/(-140))*-1.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6258\/(-1341) + 2 + 868\/(-12).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10111000 (base 2) to base 14.\nAnswer: d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1606629007.3+0.01\nAnswer: -1606629007.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1425 - 7.8575. What is the closest to 1 in -20, -2\/15, i?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 187*v**2 + 7*v + 1312. Calculate w(-187).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = 6*k + 3, 65 = -263*p + 247*p + 5*k for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(-1)*y*y))**(-20)*y**4*y*y**5*((y**(-6)*y)\/y**0)\/(y*y**(-5\/3)\/y*y*y*y\/(y*y*((y*y*y*y**(-1\/7)*y)\/y)\/y)) assuming y is positive.\nAnswer: y**(158\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 25 = 0, -61 = -3*p + 4*o + 75. Suppose p = 4*b + 4*x, -4*b + 15*x - 10*x = -7. What is the remainder when 230 is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 5 - 3 + 1 + 13*b**3 - 5*b + 10*b**3. What is the tens digit of j(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82994\/13 smaller than 6383?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 270a43 (base 14) to base 2\nAnswer: 101001000110000010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 3019*b - 3020*b - 1, -10 = -2*b + 4*a for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.99239 * -103\nAnswer: 102.21617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 10:28 AM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 650, 657, 666, 677?\nAnswer: 690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*x**3 - 29*x - 13*x**2 + 53*x**3 + 15*x**2 + 2 - 76*x**3 as g*x**2 + r + l*x**3 + a*x and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/4, 4, 2.3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u + 4*u - 12. Suppose -6*x = -u*x - 225. Does 20 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53125 is divided by 1857.\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60, -207, -450, -789, -1224?\nAnswer: -1755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.9 in 14, -788, 1, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 4.8099744s?\nAnswer: 0.000055671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -615 + 378 - 2*c + 348 + (5*c - 3*c + 0*c)*(-1 + 4 - 1) - 3*c + 7*c - 3*c.\nAnswer: 3*c + 111","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 70 = 4*c - 69, 49 = w + 4*c. Let q be ((-30)\/(-9))\/(10\/w). Let d be (-15)\/(-1 - 4\/(-5)). What is the greatest common divisor of d and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 296641 + 2*g**3 - 296641.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**4\/11 + 144*u**2\/11 - 2592\/11.\nAnswer: -2*(u - 6)**2*(u + 6)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 180 divide 1736452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -2*f + 54. Suppose 5*j = 5*j - f*j. Which is bigger: j or 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 381*r - 386*r - 89 = -4*j, r + 2*j - 41 = -0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 0*q = -5*q + 20, -2*q = 4*q for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 7 + 5)*(19*u + u - 4*u).\nAnswer: 192*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -191 + 195. Let q = 44.0284 + -0.0284. Which is bigger: h or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3\/13 (b) 0 (c) 0.0441 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 327623360?\nAnswer: 2, 5, 313, 3271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -6*i + 21. Suppose i*t = 18*t - 8. Solve -4*p - 20 = 0, -t*p - 18 = 5*m + 22 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5016*u**2 + 2*u**3 - 2506*u**2 - 2510*u**2.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at least 590?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a - 5. Let d be r(3). Sort -3, 4, d in ascending order.\nAnswer: -3, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -74281, -74252, -74195, -74104, -73973, -73796, -73567, -73280?\n\"Answer: k**3 + 8*k**2 - 2*k - 74288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-2\/11)\/c*(c\/((c\/(c**(1\/3)\/c))\/c))\/c)**(-9)\/((c**(-1))**5)**(-1\/4) assuming c is positive.\nAnswer: c**(281\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.324924 and 0.01.\nAnswer: -0.314924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 2*t**5\/13 + 2*t**4\/13 - 28*t**3\/13 + 8*t**2\/13 + 80*t\/13 - 64\/13 = 0?\nAnswer: -4, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10993 + 6?\nAnswer: -10987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 40 or 14?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 + 9*y + 10. Let l be c(-4). Which is smaller: l or -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.01 and -29\/27248 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35936 = 427*t + 696*t for t.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 1) + -5 + (9 - 9 - 20).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 4*f**3 - 7*f**2 + 2*f - 1. Let h(x) = 1 - 4553*x + 7*x**2 - 10*x**3 + 4550*x + 5*x**3 - 6*x**2 + 6*x**2. Give 2*h(o) + 3*q(o).\nAnswer: 2*o**3 - 7*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12\/(-8))\/((-3)\/6). Suppose -5*b - 4*h + 76 = -k*h, 0 = 5*b + 5*h - 60. Suppose -21 = -j + b. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168138804 to the power of 1\/2, to the nearest integer?\nAnswer: 12967","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -10*d**2\/11 + 148*d\/11 + 192\/11 = 0.\nAnswer: -6\/5, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 774\/25, -1\/2, -254 in ascending order.\nAnswer: -254, -1\/2, 774\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 2\/39, 0.3, 2 in descending order.\nAnswer: 2, 0.3, 2\/39, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -162*t**5 + 59*t**2 - 2 wrt t.\nAnswer: -9720*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 + 2672 = -89*m - 4791 for m.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d + 5. Let n(t) be the first derivative of t**2 - 5*t + 738. Determine -3*b(s) - 4*n(s).\nAnswer: -2*s + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 19\/((-2)\/(-2 - 0)). Find the second derivative of -574 - 20*w**2 - k*w + 574 - 54*w wrt w.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -168 - -169. Let x(b) = -1. Let d(w) = 56*w. Let f(o) = d(o) + x(o). Is f(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 192*z + 197. Let p be y(-1). Let g = -421\/5 - -84. Sort 1.7, p, 2\/9, g in increasing order.\nAnswer: g, 2\/9, 1.7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 196*n + 120*n + 56*n.\nAnswer: 372*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -5*g + 108. What is the second derivative of 29*i - g*i**3 + 37*i**3 - 34*i**3 wrt i?\nAnswer: -198*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-264377)\/(-36201) - (-22)\/(-3))\/(-2 - 14\/(-9))?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-24)\/b*b*b\/(b**(-2\/33)\/b*b))\/(b**(3\/2))**(-7) assuming b is positive.\nAnswer: b**(-821\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1814257471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 9\/10 of a century?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -62695 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - 8931?\nAnswer: -8931.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2614124, -2614123, -2614122?\nAnswer: -2614121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 99 = -5*h, -5*p = h - 18 - 7. Suppose 2*b = 2*y + h, -b - 3*y - 14 = -4. Solve 4*c - b*c = 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 318.5993 centuries?\nAnswer: 3185.993","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4479 (base 11) to base 12\nAnswer: 34b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - (sqrt(171) - (sqrt(171) + 2*sqrt(171))*5) - -1*sqrt(171)*-3)*-2)\/(sqrt(900)*-1*-3*-2).\nAnswer: 2*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -7*k**2 - 4*k. Let h(z) be the third derivative of -2*z**5\/15 - 5*z**4\/24 - 2*z**2 + 232. Determine -6*h(f) + 7*u(f).\nAnswer: -f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 PM and 7:59 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 290435663.\nAnswer: 7, 41490809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2\/(-11*(-32)\/35376) is divided by 22?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 200 (base 7) to base 6\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8 + (-11)\/(11\/4). Suppose -11*b + 6223 = -y*b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -97.7 - -86. Let i = f + 11.6999874. Round i to six dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8085730 and 64325.\nAnswer: 3355577950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 75 and 75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 269 + 3?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -4*i - d + 80, 3*i - 60 = d. Let g = i + -2. Suppose 3*y = -3*z - y + 10, -3*y = -4*z + 55. What is the remainder when g is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 45*g - 949. Let u(h) = h**2 + h - 84. Let x be u(0). What is the common denominator of g\/(-77) - 437\/x and -89\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + 6*b. Let r be w(5). Suppose 0 = -m + 19 - r. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3067\/3 + -1022. Let g(v) be the second derivative of -l*v**3 + 0*v**2 + 0 - 2*v. Let w(b) = -8*b. Calculate w(g(m)).\nAnswer: 16*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3625*d**2*h - 2*d**2*m + 2*d*m - 6*d - 7*h*m - 644 wrt h.\nAnswer: -3625*d**2 - 7*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-6)\/p**(-9) assuming p is positive.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 50 + 22 = 4*n, 2*n = 4*i + 30. Suppose 3*v - 7*s + 2*s - n = 0, -3*v - 4*s = -55. Does 13 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xaxaaxaaaayxyy. What is prob of picking 3 y?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a century in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -46 + (68 + -49 - 21).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**2 + 5*u**2 - 4*u**2 + (7*u - 3*u - 2*u)*(-1 - u + 1) + 2*u**2 - 3*u**2 - 3*u**2 + (4*u - 2*u + 0*u)*(0*u + u + 0*u) - 2*u**2 - u**2 + 4*u**2.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 5*a - 4*a - 16, 8 = 2*w - a. Let i(l) = -3*l + 1. Let j(s) = -8*s + 2. Give w*j(b) - 11*i(b).\nAnswer: b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*v**2 + 7*v - 7*v)*(70*v - 1669 + 1669)*(v**2 - 2 + 2).\nAnswer: -490*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -1694325675*z**3 + 5083262205*z**2 - 855552*z + 36 = 0?\nAnswer: 2\/23765, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -6*q - 13. Let i be j(-3). What is the highest common divisor of 15 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f + 0*f - 4*f + 4*f.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -3. List the prime factors of (1 - o)\/(6\/16).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = -0*u - 2*u. Suppose -4*q - q = -u. Calculate the remainder when q is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 2:01 PM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-5)*y*y*y\/y**(-4\/7)*(y**(-2\/5)*y)**34)**(-3\/2) assuming y is positive.\nAnswer: y**(-996\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**4\/7 + 16070*f**3\/7 + 32159850*f**2\/7 - 69316250*f + 231437500 = 0. What is f?\nAnswer: -4025, 5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 7. Suppose -2*d = -5*p + 426, 0*p + 4*p - 632 = 3*d. Let z = d + 1043\/5. What is the nearest to -2 in 0.3, z, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77 - 114 + 75*f + 61*f + 37.\nAnswer: 136*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/13 less than 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*a - 3*a - a**2 + (65*a - 93 + 93)*(3 + 1 - 2)*(0*a + 7*a + 5*a + (2 - 5 + 1)*(-3*a + 3*a - a)) to the form h + k*a**2 + p*a and give k.\nAnswer: 1819","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 437*u**2 + 4*u - 8. Let b be h(4). Round b to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 4*f**2 - 4*f + 5. Let l be o(5). Let z be ((-8)\/l)\/(2\/10). Which is bigger: -3 or z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9902978?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 - 35. Let r be ((-3)\/2)\/(2\/w). Suppose 2*i = -11*h + 6*h + 53, 0 = 2*h + 5*i - 38. Calculate the greatest common factor of r and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1965*d = 1951*d + 71932. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 25, -42\/157, 1.3, 3\/7?\nAnswer: -42\/157","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*j + 6*j + 44*j.\nAnswer: 98*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 12753 = 3*o, -21282 = -5*o + 5*p - 9*p. Is 15 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2038*i - 17364. Let h be d(9). Solve 977*l = h*l - 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r = 22*r + 263*r + 3492 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(-9)*m)*m**(-4))**(-28))**40 assuming m is positive.\nAnswer: m**(-5600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.85 + -331.85. Let j = -325 - l. Which is the biggest value? (a) j (b) -13 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - 6*r**2 - 8*r + 7. Let c = 38 + -31. Let m be l(c). What is the closest to m in 5, 2, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49344 is divided by 5482.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -7*n + 10. Suppose -8 = -2*j - 2*j. Let r be j\/(6\/(-1))*-6. Solve 0 = t + r*k + 6, 3*t - t = -n*k - 15 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/w**(-3\/7))**2\/(w**(2\/5))**48 assuming w is positive.\nAnswer: w**(-502\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -18 divided by 892\nAnswer: -9\/446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of -3 - 3\/2*t**2 + 2*t - 1\/3*t**3. What is y(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 11) to base 2.\nAnswer: -10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-2)*(-48887)\/(-1577)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0034936 to five decimal places.\nAnswer: -0.00349","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 352*u - 355*u + 24, 0 = -4*u - 4*y - 16. Solve 1 + 3 = 4*a + 2*w, u*w = -a + 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of 8*c**4\/21 - 8*c**3\/21 + c**2\/7 - 4*c - 3. Let i(r) be the first derivative of x(r). Determine b, given that i(b) = 0.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 7*i**2 + 6*i + 4. Let g be (3 + (-8)\/3)\/((-2)\/78). Let v(y) = 15*y**2 + 13*y + 9. Give g*a(f) + 6*v(f).\nAnswer: -f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**3 - 224*j**2 - 3348*j - 5832.\nAnswer: -4*(j + 2)*(j + 27)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3271*n - 6417*n + 3371*n = 6013 - 388 for n.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36 by -4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -40\/7 + 1367\/238. Let b = -3651 - -3649. What is the third biggest value in 2, -1\/3, b, k?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (862 + 0)\/((-27)\/(-36)). Let x = 1131 - s. Let g = x + 17. Are -2 and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 303.711 to 1 dp.\nAnswer: 303.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 292, 262, 232?\n\"Answer: -30*f + 322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 + 17.0015. What is m rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - 31. Let f = 66 - t. List the prime factors of f.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 15 in increasing order.\nAnswer: -5, -3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1799*u + 6640 + 25846 = 3018 + 4282 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -22*(-2 - (-5)\/2). Let a be (4\/6)\/(4\/(-18)). Let b = a - q. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50101.05 minutes to hours.\nAnswer: 835.0175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d**3 - 7*d + 7*d)*(0 - 2 - 2).\nAnswer: -20*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - 7*d**2 - 8*d - 7. Let w be x(-6). Suppose 1001 = -2*t + 7*t + u, 0 = -w*t + 4*u + 996. Round t to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -3\/7766?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*v - 42*v = 175 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3030 - 23?\nAnswer: -3103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 r when two letters picked without replacement from ruuuxzrrvuxrxux.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 15 + 10 = 35*j - 1, -4 = -4*y - 5*j - 14*j + 15*j for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 18, 3, -1 in descending order.\nAnswer: 18, 3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 60*c**2 + 36*c + 14. Let w(k) = -43 - 10*k**2 + 40 - 2*k**2 - 7*k. Let p(s) = -3*i(s) - 14*w(s). Find the second derivative of p(l) wrt l.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*r - 15 + 6*r**2 + 2*r with respect to r.\nAnswer: 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/25 - 2\/5. Suppose -z - 2 + 5 = x. Is z a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in 5, 2\/5, -0.2, 2\/115, -942?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.23 + -0.07. Let r = 3591 - 3606. Let t = 5.051 + -0.051. Which is the nearest to 2\/3? (a) p (b) r (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from yyyyyyyyyyeeyyqe?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(54\/(-41)) + (-57)\/(-171). Let d = v - -26\/9. What is the common denominator of -49\/222 and d?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -12.4, 6, 0 in descending order.\nAnswer: 6, 0, -0.1, -12.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -21.\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 5*y + 5, 20 = -3*v - v. Solve -5*z = 2*o - 19, 0 = 5*o - 0*z + y*z for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*y + 14903 - 12553 = 0 for y.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1237 (base 10) in base 5?\nAnswer: -14422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16946?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25.1 + 29. Let d = 0.1 + u. Let n be (-2)\/(-6) - 26\/42. Which is the smallest value? (a) n (b) -4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 371203 = 3*k + 14*k. What is the hundreds digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -137*p - 78. Let t be g(-3). Let u = 312 - t. Which is smaller: u or -18?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -15*b + 5. Does 19 divide k(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 15480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 593, 550, 479, 380, 253, 98, -85?\n\"Answer: -14*s**2 - s + 608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 24811 divided by 21410\nAnswer: 24811\/21410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 20\/30*(-1)\/(-1)*3. What is the biggest value in -2, -0.4, g, -0.12?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3\/7*g**2 + 2700\/7 - 180\/7*g = 0. Calculate g.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/13 (b) 1.2 (c) -0.5 (d) -0.18 (e) -28.5 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 895043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-200)*-3*4\/(-6).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3900 is divided by 1290?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 631982?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6976179 and 6552?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (87\/18)\/((-1)\/9) and (424\/(-168))\/((-2)\/(-3))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -2\/2727 (b) -8 (c) 1\/5 (d) 1 (e) -1\/4 (f) -0.04 (g) -2.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7106 is divided by 45.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1432, -11, 1 in ascending order.\nAnswer: -11, 1, 1432","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*d - 18 - 147. Calculate the remainder when 2504 is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23.2 - 22.8422. Let i = -0.36 + q. What is i rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 7*b = -36, 4*q + 5*b - 2389 = -4715 + 2382 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 - -31?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2059 + -1959. Solve 0 = -5*i - d + 100 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16091559 is divided by 102.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 0*b - 43 = 4*j - 281, -j + 386 = -b + 324 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 199144.4*3.\nAnswer: 597433.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 6*s + 4. Let z(b) = b + 1. Let j(q) = h(q) - 4*z(q). Let m(u) = 13*u**2. Calculate m(j(v)).\nAnswer: 52*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -386*g**5 - 369*g**2 wrt g?\nAnswer: -23160*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-2)*(-68)\/(-153).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 97127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -10723000 to the nearest ten thousand.\nAnswer: -10720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -2\/195*z**6 - 14*z + 2\/65*z**5 - 1\/273*z**7 + 0*z**2 + 0*z**3 + 4\/39*z**4 + 3. Factor x(q).\nAnswer: -2*q**2*(q - 2)*(q + 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jeeej. Give prob of sequence eeje.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wj when two letters picked without replacement from wwjwjwjwjjjjjjjj?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, v: 2, k: 7}. Give prob of sequence dvkk.\nAnswer: 14\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 26795237 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 107846?\nAnswer: 107846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 792*a - 478*a = -5024 for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 304, 289, 262, 217, 148, 49, -86?\nAnswer: -263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = 2*o - 5, -3*o + 3*v - 5 = 1 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 918.6077 weeks to milliseconds.\nAnswer: 555573936960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/6 - 39\/(-18). Let a be (-3)\/(-6*y\/8). Solve 3*p = -3*u + a*u + 19, u + 1 = p for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - -10101001001110101010111?\nAnswer: 10101001001110101011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -505*m + 791*m = 2002 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -9, 0.09, 1827?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u**4 + 16 + 4*u - 11*u**2 - 2*u - 11*u**2 - 4 + 20*u**2 - 4*u**3 as v*u**4 + w*u**3 + d*u**2 + j + x*u and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -3977 - 1527. Does 16 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, p: 7, f: 2, s: 2, d: 2}. What is prob of picking 1 f, 1 d, and 2 n?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rddr when four letters picked without replacement from {r: 9, d: 7}?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2 - 4628*f - 4624.\nAnswer: -4*(f + 1)*(f + 1156)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n**3 - 5*n**2 - 198*n - 2103. What is u(-10)?\nAnswer: 1377","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 - -60. Let j = r + -21. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/69398 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 3. Suppose -2*o = -3 - t. Sort 3, 0, o in ascending order.\nAnswer: 0, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1040 divide 8028800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1180\/41737?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 199142.182 to the nearest 100.\nAnswer: 199100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 1 = -u, 13 = -5*d - 5*u - 2. Suppose 4*l = -3*a + 7, d*l = -3*a - l + 12. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 62*h**4 + 47*h**2 + 5*h - 41*h**2 - 2 - 63*h**4 as b*h**2 + p*h + i*h**3 + d + o*h**4 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.036 + -0.83. Let w = y - 0.16. Let m = 0.03 + w. What is m rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 5*c**2 + c - 7. Let m(z) = 27*z**2 + 5*z - 35. Let p be 6\/144*4 - (-11)\/6. Let y(s) = p*m(s) - 11*t(s). Give y(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 4*a**3 - 13*a**3 + 6*a**3 + 2 + 3 + 5*a**3.\nAnswer: 2*a**3 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 AM and 1:01 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8973364.\nAnswer: 2, 283, 7927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1675795 at most -1675820?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57)\/sqrt(3)*5 + sqrt(57)\/sqrt(3) + -1)**2*3.\nAnswer: -36*sqrt(19) + 2055","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11290 - 20254 - 30560 = 482*j for j.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - 125 - -9) + -1 + -5\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x - 2. Let z(n) = 12*n + 13. Give 39*v(o) + 6*z(o).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*d**3 - 6*d**2 + 14*d**3 + 6*d**2.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -52 + 58. Suppose n*f = 3*f + 1899. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g + 21653 + 27597 - 3652.\nAnswer: -g + 45598","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -47 * -2430.996\nAnswer: 114256.812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 294 and 686.\nAnswer: 2058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1538519253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + (-19 - (7 + -17)) + (5 + -9 - 4)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.47 - -3.51. Let v = -0.04 + q. Let a = -1 + 1. Sort v, 4, a.\nAnswer: a, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -141 - -989\/7. Let h = 2.069 - 0.069. Which is the closest to u? (a) -0.2 (b) h (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 244051 and 284490?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b**4 - 51361865*b**3 - 44226016*b**2 wrt b.\nAnswer: 48*b - 308171190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*66\/(-24)*-2)\/((-2)\/(-2)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 15 = -39. Solve -o - 3*v = -4, -v = -o + 4*o + d for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 478 is divided by 120?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 5*w - 18. Let b be o(4). Let l(n) = 208 - 214 + n + 3*n + n**b. Let q be l(-9). Is q less than 38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2280\/(-6080) - 408579\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0\/(-1 - 1))\/1. Suppose -5*a = -d*a - 805. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3852786?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3291328577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -582 - 3*v**3 + 582.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12331213 - 1330333?\nAnswer: 11000220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2 and -1.743305.\nAnswer: -3.743305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31313202 - 11?\nAnswer: -31313213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-15)\/(-945)*9)\/((-31)\/(-7) + -5). Let y = -6 + 4. Let n = -4 - -3. What is the nearest to -1 in y, j, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 8:54 PM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 257569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 10*r**2 - 2*r + 15. Calculate u(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of -6*f**2 + 0 - 1\/2*f**3 + 1\/20*f**5 + 0*f**4 + 0*f. Find w such that q(w) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -160*t**4 + 2508*t**3 - 2508*t**3 + 860*t**4 + (4 - 1 - 1)*(2*t**4 - 6*t**4 + 2*t**4).\nAnswer: 696*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2155463 is divided by 215478?\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109426?\nAnswer: 2, 54713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 17 = -3*m + 23, 0 = m - 4*r - 9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 13*x**2 - 2*x + 27. List the prime factors of u(-13).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -61 - -9 - ((-19 - (-7 + 0)) + 13).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(1053) + sqrt(1053)*-3 + 4 - 1*(sqrt(1053) + 2 - sqrt(1053))))**2*-1.\nAnswer: -16864 + 288*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20505 - -65410949\/3190. Let j = 154721\/19140 + t. What is the common denominator of 39\/436 and j?\nAnswer: 1308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -i**5\/60 + 7*i**4\/24 - i**2. Let m(g) = g**2 - 8*g. Let t(b) = -b**2 - 5*b + 1. Let r be t(-2). What is r*f(x) + 6*m(x)?\nAnswer: -x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}